diff --git a/.gitattributes b/.gitattributes index 37165f44175807348eae99a72ed22acd2db2477e..4b9406b963553fdf3e5fa9f0b9ab6fbf310210fd 100644 --- a/.gitattributes +++ b/.gitattributes @@ -72,3 +72,5 @@ saved_model/**/* filter=lfs diff=lfs merge=lfs -text 2017/finals/poles.in filter=lfs diff=lfs merge=lfs -text 2017/finals/strolls.in filter=lfs diff=lfs merge=lfs -text 2017/finals/tolls.in filter=lfs diff=lfs merge=lfs -text +2018/finals/claw.in filter=lfs diff=lfs merge=lfs -text +2018/finals/personal.in filter=lfs diff=lfs merge=lfs -text diff --git a/2018/finals/293195401822038.jpg b/2018/finals/293195401822038.jpg new file mode 100644 index 0000000000000000000000000000000000000000..13b8566f672699b5ac1b1f81020792f12563f59d --- /dev/null +++ b/2018/finals/293195401822038.jpg @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:0d6effb61be9b3565a187efabade675959b481b05a4889920592ea33fef5a383 +size 40429 diff --git a/2018/finals/923060468192530.jpg b/2018/finals/923060468192530.jpg new file mode 100644 index 0000000000000000000000000000000000000000..72f03e48098fee480621989f053ca37d12eb68c8 --- /dev/null +++ b/2018/finals/923060468192530.jpg @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:76e8795743c102d61b8461243209e10165fcab065b5719b9c300e818d99e0653 +size 31912 diff --git a/2018/finals/citylights.cpp b/2018/finals/citylights.cpp new file mode 100644 index 0000000000000000000000000000000000000000..729366fdaac29d09218411e42e5c5048e31c3a20 --- /dev/null +++ b/2018/finals/citylights.cpp @@ -0,0 +1,243 @@ +// City Lights +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 135 +#define MOD 1000000007 + +int W,S,K,NH; +PR PW[LIM],PS[LIM]; +int H[LIM]; +vector ch[LIM],wh[LIM]; +LL dyn[LIM][LIM][LIM]; // dyn[i][h][b] = # of combinations in i's subtree requiring b buildings, with height h still required +LL dynS[LIM][LIM][LIM]; // dynS[i][h][b] = sum of dyn[i][0..(h-1)][b] +LL tmp[LIM][LIM]; + +void CompSums(int i) +{ + int h,b; + Fox(h,NH) + Fox(b,W+1) + dynS[i][h+1][b]=(dynS[i][h][b]+dyn[i][h][b])%MOD; +} + +void Add(LL &a,LL b) +{ + a=(a+b)%MOD; +} + +void rec(int i) +{ + int j,c,h,b,h2,b2,nw; + LL pw; + // iterate over children + dyn[i][0][0]=1; + Fox(j,Sz(ch[i])) + { + rec(c=ch[i][j]); + // combine DP values + CompSums(i),CompSums(c); + Fill(tmp,0); + Fox(h,NH) + Fox(b,W+1) + Fox(b2,W-b+1) + Add(tmp[h][b+b2],dyn[i][h][b]*dynS[c][h+1][b2] + dynS[i][h][b]*dyn[c][h][b2]); + memcpy(dyn[i],tmp,sizeof(tmp)); + } + // consider all possible subsets of windows coming into play here + nw=Sz(wh[i]); + sort(All(wh[i])); + reverse(All(wh[i])); + Fill(tmp,0); + Fox(j,nw+1) + { + h2=(j==nw ? 0 : wh[i][j]); + pw=(1LL<<(nw-min(nw,j+1)))%MOD; + Fox(h,NH) + Fox(b,W+1) + Add(tmp[max(h,h2)][b],pw*dyn[i][h][b]); + } + memcpy(dyn[i],tmp,sizeof(tmp)); + // place a building here when necessary + FoxI(h,H[i],NH-1) + Fox(b,W+1) + { + Add(dyn[i][0][b+1],dyn[i][h][b]); + dyn[i][h][b]=0; + } + CompSums(i); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int i,x,y,z,a,b,c; + LL ans; + vector cy; + set > SI; + set >::iterator I; + map MS; + // testcase loop + Read(T); + Fox1(t,T) + { + // input, and compress y-coordinates + Read(W),Read(S); + cy.clear(),cy.pb(0); + Fox(i,W) + Read(PW[i].y),Read(PW[i].x),cy.pb(PW[i].x); + Fox(i,S) + Read(PS[i].y),Read(PS[i].x),cy.pb(PS[i].x); + sort(All(cy)); + cy.resize(unique(All(cy))-cy.begin()); + NH=Sz(cy); + Fox(i,W) + PW[i].x=lower_bound(All(cy),PW[i].x)-cy.begin(); + Fox(i,S) + PS[i].x=lower_bound(All(cy),PS[i].x)-cy.begin(); + // init tree + Fill(H,60); + Fox(i,K) + ch[i].clear(),wh[i].clear(); + K=0; + // iterate over stars in non-decreasing order of Y + sort(PS,PS+S); + SI.clear(); + H[0]=1,SI.insert(mp(mp(0,INF+1),K++)); + MS.clear(); + Fox(i,S) + { + x=PS[i].y; + y=PS[i].x; + // find containing interval (if any) + I=SI.lower_bound(mp(mp(x,INF+2),0)),I--; + a=I->x.x; + b=I->x.y; + c=I->y; + if ((a<=x) && (b>=x)) + { + // split interval at this X-coordinate + if (ax) + { + ch[c].pb(K); + H[K]=y,SI.insert(mp(mp(x+1,b),K++)); + } + SI.erase(I); + MS[x]=c; + } + } + // associate windows with nodes + Fox(i,W) + { + x=PW[i].y; + if (MS.count(x)) + c=MS[x]; + else + { + I=SI.lower_bound(mp(mp(x,INF+2),0)),I--; + c=I->y; + } + wh[c].pb(PW[i].x); + } + // DP + Fill(dyn,0); + rec(0); + ans=0; + Fox1(i,W) + Add(ans,i*dyn[0][0][i]); + // output + printf("Case #%d: %lld\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/finals/citylights.html b/2018/finals/citylights.html new file mode 100644 index 0000000000000000000000000000000000000000..6118a5e16b2e1df3c58f629d031d283f822eaee3 --- /dev/null +++ b/2018/finals/citylights.html @@ -0,0 +1,76 @@ +

+Dahlia is taking a roadtrip across all of Canada! Along the way, she's spending a night in one of the country's hallmark cities, Toronto. +

+ +

+Toronto's nighttime skyline can be represented as a 2D plane, with the ground forming a horizontal line with y-coordinate 0. +There are W building windows, with the ith one at coordinates (XWi, YWi). +There are also S visible stars, with the ith one at coordinates (XSi, YSi). +It's guaranteed that all W + S of these points are distinct, and that no star is directly below a window (having the same x-coordinate but a smaller y-coordinate). +

+ +

+At night, it's impossible to see any given window unless there's light coming from it. On any given night, each window is independently either lit up or not with equal probability. +As such, there are 2W equally-likely subsets of windows which might be visible. Dahlia finds herself looking at Toronto's skyline on one such random night. +

+ +

+Dahlia knows that Toronto consists of 0 or more buildings, each of which covers a rectangular portion of the sky with some bottom-left corner (x1, 0) +and some top-right corner (x2, h), +for some real values of x1, x2, and h +(such that x1 < x2 and h > 0). +The buildings might overlap with one another. Based on Dahlia's view of the stars and lit-up windows, she can infer some things about the set of buildings present. +In particular, for each lit-up window i, Dahlia realizes that there must be at least one building whose rectangle inclusively covers the point +(XWi, YWi). Furthermore, for each star i, +Dahlia realizes that there must be no buildings whose rectangles inclusively cover the point (XSi, YSi). +

+ +

+Dahlia is going to assume that Toronto consists of as few buildings as possible which are consistent with her observations on that night. +What's the expected number of buildings which she'll assume exist? +In order to avoid floating-point arithmetic and large integers, output this expected number multiplied by 2W (which is guaranteed to result in an integer) and then taken modulo 1,000,000,007. +

+ + +

Input

+ +

+Input begins with an integer T, the number of skylines. +For each skyline, there is first a line containing the space-separated integers W and S. +Then, W lines follow, the ith of which contains the space-separated integers XWi and YWi. +Then, S lines follow, the ith of which contains the space-separated integers XSi and YSi. +

+ + +

Output

+ +

+For the ith universe, output a line containing "Case #i: " the expected number of buildings which Dahlia will assume exist, multiplied by 2W and then taken modulo 1,000,000,007. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 150
+1 ≤ W ≤ 80
+1 ≤ S ≤ 50
+1 ≤ XWi, YWi, XSi, YSi ≤ 1,000,000,000
+

+ + +

Explanation of Sample

+ +

+In the first case, there's a 50% chance that the single window will be visible, in which case Dahlia will assume that Toronto has 1 building. +There's also a 50% chance that it won't be visible, in which case she'll assume that there are 0 buildings. As such, the expected number of buildings which she'll assume exist is (1 + 0) / 2 = 1/2. +This should then be multiplied by 21 and taken modulo 1,000,000,007 to produce a final answer of 1. +

+ +

+In the second case, however many windows are visible, Dahlia will assume Toronto has that many buildings. For example, if both windows are visible, then there must be at least 2 buildings, as a single building can't account for both windows without also covering the single visible star. This results in a final answer of ((0 + 1 + 1 + 2) / 4 * 22) modulo 1,000,000,007 = 4. +

+ +

+In the third case, the final answer is ((0 + 1 + 1 + 1 + 1 + 1 + 2 + 2) / 8 * 23) modulo 1,000,000,007 = 9. +

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+562662630 403818792 +687118579 406496046 +686630700 437447217 +506064740 403818792 +574229577 345071284 +641219130 403818792 +590571123 363744527 +590571123 372494359 +582484489 381222114 +603188034 403818792 +564938510 403818792 +609583712 403818792 +590571123 403818792 diff --git a/2018/finals/citylights.md b/2018/finals/citylights.md new file mode 100644 index 0000000000000000000000000000000000000000..3802c3dfeb2ffa27090797bb15f84b88641a3101 --- /dev/null +++ b/2018/finals/citylights.md @@ -0,0 +1,74 @@ +Dahlia is taking a roadtrip across all of Canada! Along the way, she's +spending a night in one of the country's hallmark cities, Toronto. + +Toronto's nighttime skyline can be represented as a 2D plane, with the ground +forming a horizontal line with y-coordinate 0. There are **W** building +windows, with the _i_th one at coordinates (**XWi**, **YWi**). There are also +**S** visible stars, with the _i_th one at coordinates (**XSi**, **YSi**). +It's guaranteed that all **W** \+ **S** of these points are distinct, and that +no star is directly below a window (having the same x-coordinate but a smaller +y-coordinate). + +At night, it's impossible to see any given window unless there's light coming +from it. On any given night, each window is independently either lit up or not +with equal probability. As such, there are 2**W** equally-likely subsets of +windows which might be visible. Dahlia finds herself looking at Toronto's +skyline on one such random night. + +Dahlia knows that Toronto consists of 0 or more buildings, each of which +covers a rectangular portion of the sky with some bottom-left corner (**x1**, +0) and some top-right corner (**x2**, **h**), for some real values of **x1**, +**x2**, and **h** (such that **x1** < **x2** and **h** > 0). The buildings +might overlap with one another. Based on Dahlia's view of the stars and lit-up +windows, she can infer some things about the set of buildings present. In +particular, for each lit-up window _i_, Dahlia realizes that there must be at +least one building whose rectangle inclusively covers the point (**XWi**, +**YWi**). Furthermore, for each star _i_, Dahlia realizes that there must be +no buildings whose rectangles inclusively cover the point (**XSi**, **YSi**). + +Dahlia is going to assume that Toronto consists of as few buildings as +possible which are consistent with her observations on that night. What's the +expected number of buildings which she'll assume exist? In order to avoid +floating-point arithmetic and large integers, output this expected number +multiplied by 2**W** (which is guaranteed to result in an integer) and then +taken modulo 1,000,000,007. + +### Input + +Input begins with an integer **T**, the number of skylines. For each skyline, +there is first a line containing the space-separated integers **W** and **S**. +Then, **W** lines follow, the _i_th of which contains the space-separated +integers **XWi** and **YWi**. Then, **S** lines follow, the _i_th of which +contains the space-separated integers **XSi** and **YSi**. + +### Output + +For the _i_th universe, output a line containing "Case #_i_: " the expected +number of buildings which Dahlia will assume exist, multiplied by 2**W** and +then taken modulo 1,000,000,007. + +### Constraints + +1 ≤ **T** ≤ 150 +1 ≤ **W** ≤ 80 +1 ≤ **S** ≤ 50 +1 ≤ **XWi**, **YWi**, **XSi**, **YSi** ≤ 1,000,000,000 + +### Explanation of Sample + +In the first case, there's a 50% chance that the single window will be +visible, in which case Dahlia will assume that Toronto has 1 building. There's +also a 50% chance that it won't be visible, in which case she'll assume that +there are 0 buildings. As such, the expected number of buildings which she'll +assume exist is (1 + 0) / 2 = 1/2. This should then be multiplied by 21 and +taken modulo 1,000,000,007 to produce a final answer of 1. + +In the second case, however many windows are visible, Dahlia will assume +Toronto has that many buildings. For example, if both windows are visible, +then there must be at least 2 buildings, as a single building can't account +for both windows without also covering the single visible star. This results +in a final answer of ((0 + 1 + 1 + 2) / 4 * 22) modulo 1,000,000,007 = 4. + +In the third case, the final answer is ((0 + 1 + 1 + 1 + 1 + 1 + 2 + 2) / 8 * +23) modulo 1,000,000,007 = 9. + diff --git a/2018/finals/citylights.out b/2018/finals/citylights.out new file mode 100644 index 0000000000000000000000000000000000000000..510368fa7a08f219f95eba1a223e3bf264b181ba --- /dev/null +++ b/2018/finals/citylights.out @@ -0,0 +1,150 @@ +Case #1: 1 +Case #2: 4 +Case #3: 9 +Case #4: 684 +Case #5: 6602752 +Case #6: 1183 +Case #7: 395395372 +Case #8: 476192687 +Case #9: 307412416 +Case #10: 208183264 +Case #11: 179460552 +Case #12: 123720748 +Case #13: 2176 +Case #14: 251187805 +Case #15: 1 +Case #16: 24814920 +Case #17: 12 +Case #18: 950052158 +Case #19: 476192687 +Case #20: 37251179 +Case #21: 524338575 +Case #22: 84436692 +Case #23: 522842261 +Case #24: 960 +Case #25: 149016192 +Case #26: 401766512 +Case #27: 740220421 +Case #28: 806643165 +Case #29: 410108367 +Case #30: 476192687 +Case #31: 346263277 +Case #32: 511828703 +Case #33: 352768 +Case #34: 754620958 +Case #35: 24189841 +Case #36: 150357497 +Case #37: 27957735 +Case #38: 138609019 +Case #39: 938380288 +Case #40: 591 +Case #41: 476192687 +Case #42: 10327963 +Case #43: 1585152 +Case #44: 942892176 +Case #45: 733184 +Case #46: 963717906 +Case #47: 999149394 +Case #48: 336 +Case #49: 648770070 +Case #50: 41107 +Case #51: 358323 +Case #52: 476192687 +Case #53: 920603109 +Case #54: 583365539 +Case #55: 923455993 +Case #56: 32 +Case #57: 570359644 +Case #58: 576939345 +Case #59: 185078453 +Case #60: 87826432 +Case #61: 220714433 +Case #62: 779380393 +Case #63: 476192687 +Case #64: 454912501 +Case #65: 36175872 +Case #66: 61920862 +Case #67: 739035260 +Case #68: 241408 +Case #69: 72 +Case #70: 181137826 +Case #71: 12 +Case #72: 790528 +Case #73: 568 +Case #74: 476192687 +Case #75: 209894768 +Case #76: 409600 +Case #77: 9660075 +Case #78: 729659780 +Case #79: 987366468 +Case #80: 783255800 +Case #81: 150336261 +Case #82: 217745735 +Case #83: 14493184 +Case #84: 552983984 +Case #85: 476192687 +Case #86: 357205618 +Case #87: 650 +Case #88: 951990308 +Case #89: 51203491 +Case #90: 12525492 +Case #91: 203097080 +Case #92: 668435283 +Case #93: 285106003 +Case #94: 725943043 +Case #95: 311477996 +Case #96: 476192687 +Case #97: 808401215 +Case #98: 740898081 +Case #99: 723241603 +Case #100: 138936320 +Case #101: 9472 +Case #102: 80 +Case #103: 973081087 +Case #104: 3981312 +Case #105: 8196096 +Case #106: 232 +Case #107: 476192687 +Case #108: 451694354 +Case #109: 665349106 +Case #110: 939116400 +Case #111: 779208225 +Case #112: 665406988 +Case #113: 3 +Case #114: 7487488 +Case #115: 2048 +Case #116: 32 +Case #117: 386899298 +Case #118: 476192687 +Case #119: 426894991 +Case #120: 1616 +Case #121: 334418389 +Case #122: 882072248 +Case #123: 535159372 +Case #124: 1488 +Case #125: 878057472 +Case #126: 1555456 +Case #127: 487568093 +Case #128: 235337205 +Case #129: 476192687 +Case #130: 711001842 +Case #131: 895412998 +Case #132: 995550330 +Case #133: 442754895 +Case #134: 1 +Case #135: 3968 +Case #136: 192308626 +Case #137: 379881151 +Case #138: 569768760 +Case #139: 736443811 +Case #140: 476192687 +Case #141: 963356576 +Case #142: 874170611 +Case #143: 761856 +Case #144: 966256023 +Case #145: 14439824 +Case #146: 518979345 +Case #147: 574630397 +Case #148: 433417305 +Case #149: 902458354 +Case #150: 727041482 diff --git a/2018/finals/claw.cpp b/2018/finals/claw.cpp new file mode 100644 index 0000000000000000000000000000000000000000..59d053e66111fa836d97202948cb41ad962a9488 --- /dev/null +++ b/2018/finals/claw.cpp @@ -0,0 +1,202 @@ +// The Claw +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 2100000 + +PR P[LIM],R[LIM],S[LIM]; +vector YP[LIM]; +vector YR[LIM]; +int sz; +int tree[LIM],lazy[LIM]; + +void Prop(int i) +{ + tree[i]+=lazy[i]; + if (i>1; + if (a<=m) + Update(c,r1,m,a,b,v); + if (b>m) + Update(c+1,m+1,r2,a,b,v); + Prop(c),Prop(c+1); + tree[i]=max(tree[c],tree[c+1]); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N,M,K; + int i,j,k,s,y,a,b,p,d; + LL ans; + // testcase loop + Read(T); + Fox1(t,T) + { + // init + Fox(i,LIM) + YP[i].clear(),YR[i].clear(); + // input + Read(N),Read(M); + ans=M; + Fox(i,N) + { + Read(P[i].x),Read(P[i].y); + ans-=P[i].y; + YP[P[i].y].pb(P[i].x); + if (i) + R[i-1]=mp(max(P[i-1].x,P[i].x),min(P[i-1].x,P[i].x)); + } + // associate intervals with their max contained heights + sort(P,P+N); + sort(R,R+N-1); + j=s=0; + Fox(i,N-1) + { + a=R[i].y,b=R[i].x; + // maintain convex hull of max heights so far + while ((j +Oh boy, Sid's family has taken him to Pizza Planet today! Pizza Planet is a fun family restaurant with lots of arcade games, but the highlight for Sid is Space Crane, +a crane game with cool toy prizes. He'd love to win some to add to his collection! +

+ +

+Looking at Space Crane from the front, it can be represented as a 2D plane. +At the top, there's a horizontal crane track, a line segment running from (0, M) to (1,000,000, M). +There's a claw attached to this track by an extendible wire. The claw is initially located at coordinates (0, M) and may be moved anywhere within the inclusive range of +x-coordinates [0, 1,000,000] and the inclusive range of y-coordinates [0, M]. +At all points in time, the connecting wire runs vertically upwards from the claw's position to the track. +That is, when the claw is at some point (x, y), the wire forms a line segment from +(x, y) to (x, M). +

+ +

+Space Crane works differently than most crane games — rather than using the claw to directly pick up prizes, the player's objective is to navigate the claw to a series of targets. +There are N targets, all with distinct x-coordinates, with the ith target at coordinates (Xi, Yi). +If Sid manages to move the claw to touch the N targets in order from 1 to N, and then return the claw to its original position at (0, M), +he'll win a prize! Targets are not collected along the way (they're only touched by the claw), meaning that all N targets will remain in place for the duration of the game. +

+ +

+The claw may never be anywhere directly underneath a target (at the same x-coordinate but with a strictly smaller y-coordinate), as it would interfere with the crane's wire. +However, the claw may occupy exactly the same position as a target, including passing directly through targets which Sid is not currently trying to touch. +

+ +

+Before the game starts, Sid is given an opportunity to adjust each of the N targets. +There are two possible choices for each target: it may either be left in its original position, or its y-coordinate may be increased by exactly 1 unit. +These adjustments may only be performed in advance, and the targets must then all remain in their chosen positions for the duration of the game. +

+ +

+Completing the game normally isn't much of a challenge for Sid, but he's heard a rumour that Space Crane awards double prizes if completed as efficiently as possible! The game measures efficiency based on how much the claw's wire expands and contracts. As such, Sid would like to adjust the targets and then move the claw around such that the total amount of vertical movement (changes in y-coordinate) performed by the claw is minimized. Note that the claw's horizontal movement (changes in x-coordinate) is ignored. Help Sid determine the minimum total amount of vertical claw movement which might be required! +

+ + +

Input

+ +

+Input begins with an integer T, the number of times Sid plays Space Crane. +For each game, there is first a line containing the space-separated integers N and M. +Then N lines follow, the ith of which contains the space-separated integers Xi and Yi. +

+ + +

Output

+ +

+For the ith game, output a line containing "Case #i: " followed by the the minimum total amount of vertical claw movement, in units. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 100
+1 ≤ N ≤ 1,000,000
+3 ≤ M ≤ 1,000,000
+0 ≤ Xi ≤ 1,000,000
+1 ≤ Yi ≤ M - 2
+

+ + +

Explanation of Sample

+ +

+In the first case, the single target's height should be increased from 1 to 2. Then, aside from moving right and left by 1,000,000 units, the crane will need to move downwards by 8 units to reach the target and upwards by 8 units to return to its original position, for a total of 16 units of vertical movement. +

+ +

+In the second case, if the targets are all left at their original heights, 10 units of vertical movement will be required. If their heights are all increased by 1, 8 units will be required. However, if just the first two targets are raised, then only 6 units will be required, which is the minimum achievable amount. +

diff --git a/2018/finals/claw.in b/2018/finals/claw.in new file mode 100644 index 0000000000000000000000000000000000000000..b14a1da1b3f84f88fe696c3f723e60a171575830 --- /dev/null +++ b/2018/finals/claw.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:ac5b14d1a848b20f48f7ab7a0779d108032bb5304399097d932fd447e44bc69f +size 42254566 diff --git a/2018/finals/claw.md b/2018/finals/claw.md new file mode 100644 index 0000000000000000000000000000000000000000..febf3d68aac31b9f86dfac6f15ba0cf281b95890 --- /dev/null +++ b/2018/finals/claw.md @@ -0,0 +1,80 @@ +Oh boy, Sid's family has taken him to Pizza Planet today! Pizza Planet is a +fun family restaurant with lots of arcade games, but the highlight for Sid is +Space Crane, a crane game with cool toy prizes. He'd love to win some to add +to his collection! + +Looking at Space Crane from the front, it can be represented as a 2D plane. At +the top, there's a horizontal crane track, a line segment running from (0, +**M**) to (1,000,000, **M**). There's a claw attached to this track by an +extendible wire. The claw is initially located at coordinates (0, **M**) and +may be moved anywhere within the inclusive range of x-coordinates [0, +1,000,000] and the inclusive range of y-coordinates [0, **M**]. At all points +in time, the connecting wire runs vertically upwards from the claw's position +to the track. That is, when the claw is at some point (**x**, **y**), the wire +forms a line segment from (**x**, **y**) to (**x**, **M**). + +Space Crane works differently than most crane games — rather than using the +claw to directly pick up prizes, the player's objective is to navigate the +claw to a series of targets. There are **N** targets, all with distinct +x-coordinates, with the _i_th target at coordinates (**Xi**, **Yi**). If Sid +manages to move the claw to touch the **N** targets in order from 1 to **N**, +and then return the claw to its original position at (0, **M**), he'll win a +prize! Targets are not collected along the way (they're only touched by the +claw), meaning that all **N** targets will remain in place for the duration of +the game. + +The claw may never be anywhere directly underneath a target (at the same +x-coordinate but with a strictly smaller y-coordinate), as it would interfere +with the crane's wire. However, the claw may occupy exactly the same position +as a target, including passing directly through targets which Sid is not +currently trying to touch. + +Before the game starts, Sid is given an opportunity to adjust each of the +**N** targets. There are two possible choices for each target: it may either +be left in its original position, or its y-coordinate may be increased by +exactly 1 unit. These adjustments may only be performed in advance, and the +targets must then all remain in their chosen positions for the duration of the +game. + +Completing the game normally isn't much of a challenge for Sid, but he's heard +a rumour that Space Crane awards double prizes if completed as efficiently as +possible! The game measures efficiency based on how much the claw's wire +expands and contracts. As such, Sid would like to adjust the targets and then +move the claw around such that the total amount of vertical movement (changes +in y-coordinate) performed by the claw is minimized. Note that the claw's +horizontal movement (changes in x-coordinate) is ignored. Help Sid determine +the minimum total amount of vertical claw movement which might be required! + +### Input + +Input begins with an integer **T**, the number of times Sid plays Space Crane. +For each game, there is first a line containing the space-separated integers +**N** and **M**. Then **N** lines follow, the _i_th of which contains the +space-separated integers **Xi** and **Yi**. + +### Output + +For the _i_th game, output a line containing "Case #_i_: " followed by the the +minimum total amount of vertical claw movement, in units. + +### Constraints + +1 ≤ **T** ≤ 100 +1 ≤ **N** ≤ 1,000,000 +3 ≤ **M** ≤ 1,000,000 +0 ≤ **Xi** ≤ 1,000,000 +1 ≤ **Yi** ≤ **M** \- 2 + +### Explanation of Sample + +In the first case, the single target's height should be increased from 1 to 2. +Then, aside from moving right and left by 1,000,000 units, the crane will need +to move downwards by 8 units to reach the target and upwards by 8 units to +return to its original position, for a total of 16 units of vertical movement. + +In the second case, if the targets are all left at their original heights, 10 +units of vertical movement will be required. If their heights are all +increased by 1, 8 units will be required. However, if just the first two +targets are raised, then only 6 units will be required, which is the minimum +achievable amount. + diff --git a/2018/finals/claw.out b/2018/finals/claw.out new file mode 100644 index 0000000000000000000000000000000000000000..60ee148d882912b5d5af4bf7dad2e51058d3bd78 --- /dev/null +++ b/2018/finals/claw.out @@ -0,0 +1,100 @@ +Case #1: 16 +Case #2: 6 +Case #3: 14 +Case #4: 260 +Case #5: 568 +Case #6: 1961626 +Case #7: 3358 +Case #8: 56024 +Case #9: 10 +Case #10: 178 +Case #11: 27323538 +Case #12: 8 +Case #13: 389736310 +Case #14: 591888518830 +Case #15: 60904108418 +Case #16: 220823790 +Case #17: 564095206 +Case #18: 37755430 +Case #19: 359556674 +Case #20: 185529394 +Case #21: 38921840 +Case #22: 685817766 +Case #23: 363038914 +Case #24: 352961076 +Case #25: 225139120 +Case #26: 117585226 +Case #27: 7278150 +Case #28: 104035988 +Case #29: 67748422 +Case #30: 844110702 +Case #31: 3523240 +Case #32: 343124806 +Case #33: 519026666 +Case #34: 320791480 +Case #35: 747964022 +Case #36: 466336844 +Case #37: 289981034 +Case #38: 15480402 +Case #39: 502793796 +Case #40: 1166910 +Case #41: 55345112 +Case #42: 110388890 +Case #43: 338556834 +Case #44: 435648088 +Case #45: 122741824 +Case #46: 297415336 +Case #47: 802859232 +Case #48: 28714256 +Case #49: 48366920 +Case #50: 107031646 +Case #51: 9686820 +Case #52: 237967738 +Case #53: 9088030 +Case #54: 372367388 +Case #55: 574725682 +Case #56: 76237660 +Case #57: 112384476 +Case #58: 58139852 +Case #59: 8805864 +Case #60: 171273912 +Case #61: 18464040 +Case #62: 320947738 +Case #63: 243050858 +Case #64: 501792574 +Case #65: 329135850 +Case #66: 216258438 +Case #67: 688019958 +Case #68: 239053688 +Case #69: 212823646 +Case #70: 117076682 +Case #71: 241045050 +Case #72: 90322022 +Case #73: 35474604 +Case #74: 528050404 +Case #75: 276667476 +Case #76: 466168544 +Case #77: 47753808 +Case #78: 10379782 +Case #79: 355000736 +Case #80: 288329662 +Case #81: 49497314 +Case #82: 121461146 +Case #83: 190014096 +Case #84: 33004856 +Case #85: 352105234 +Case #86: 43100142 +Case #87: 154193324 +Case #88: 430526288 +Case #89: 18058864 +Case #90: 309148716 +Case #91: 10742020 +Case #92: 17545340 +Case #93: 34545122 +Case #94: 76756074 +Case #95: 198464136 +Case #96: 157858174 +Case #97: 182626224 +Case #98: 585908516 +Case #99: 457182524 +Case #100: 7596382 diff --git a/2018/finals/contest.cpp b/2018/finals/contest.cpp new file mode 100644 index 0000000000000000000000000000000000000000..1f4086b4d283ea4a2505d6f8ca57e57c2818a8b9 --- /dev/null +++ b/2018/finals/contest.cpp @@ -0,0 +1,134 @@ +// Contest Environment +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 2002 + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N; + int i,b,c; + bool ans; + char A[LIM],B[LIM]; + // testcase loop + Read(T); + Fox1(t,T) + { + printf("Case #%d: ",t); + // input + scanf("%s%s",&A,&B); + N=strlen(A); + // bottom blocked? + Fox(i,N) + if (B[i]=='#') + goto Imp; + // count blanks + b=0; + Fox(i,N) + b+=(A[i]=='.')+(B[i]=='.'); + // find sequences of blocked top-row cells + c=0; + Fox(i,N) + if (A[i]=='#') + c++; + else + { + if (b +The 2018 Hacker Cup finals are underway! The contest is being held in a room with 2 rows of N desks each, with finalists sitting at some of them. +

+ +

+One of the finalists, Alex, is sitting at the leftmost desk in the front row. Another finalist, Borys, is sitting at the rightmost desk in the front row. +Unfortunately, both of them find themselves distracted by the contest room's environment — Alex is a bit too hot on his side of the room, while Borys is a bit too cold. +If only they could switch places! Unfortunately, this would be against the rules, but if they work together with some other contestants, perhaps they can manage it without the +contest organizers noticing... +

+ +

+The initial state of each row of desks can be represented by a string of N characters, with the ith character corresponding to the ith desk from +the left in that row. Each character is one of the following: +

+ +
    +
  •       A - Alex's desk (guaranteed to appear exactly once, as the leftmost desk in the front row)
    • +
  •       B - Borys's desk (guaranteed to appear exactly once, as the rightmost desk in the front row)
    • +
  •       * - A cooperative finalist's desk
    • +
  •       # - An uncooperative finalist's desk
    • +
  •       . - An unoccupied desk
    • +
+ +

+At any point, a single finalist may move from their current desk to an adjacent, currently-unoccupied desk. +Two desks are considered adjacent if either they're in the same column, or they're directly side-by-side in the same row. +However, the finalists won't be foolish enough to move sideways between two desks in the front row, as that would surely attract the contest organizers' attention. +

+ +

+Alex, Borys, and any cooperative finalists may all move between desks in this fashion. +On the other hand, uncooperative finalists are too busy actually competing, and will never move from their original desks. +

+ +

+Assuming that Alex, Borys, and the cooperative finalists all work together, is it possible for Alex and Borys to switch seats (in other words, for Alex to occupy the front row's rightmost desk while Borys simultaneously occupies its leftmost desk) without the contest organizers noticing? +

+ + +

Input

+ +

+Input begins with an integer T, the number of parallel universes in which the 2018 Hacker Cup is occurring. +For each universe, there are two lines of N characters each, as described above. The first line is the front row of desks, and the second line is the back row of desks. +

+ + +

Output

+ +

+For the ith universe, output a line containing "Case #i: " followed by the string "Possible" if Alex and Borys can successfully switch seats, +or "Impossible" otherwise. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 200
+2 ≤ N ≤ 2,000
+

+ + +

Explanation of Sample

+ +

+In the first case, the contest room looks as follows (with grey lines indicating adjacent desks which finalists may potentially move between). +The blue circle denotes a cooperative finalist, and the gray square denotes an uncooperative finalist. A and B denote Alex and Borys respectively. +

+ +

+One possible sequence of moves resulting in Alex and Borys switching places is as follows (with some moves omitted): +

+ +

+In the second case, Alex and Borys are unable to get past one another and switch seats. +

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+.**.**.****.**.****.****.*.*.** +A**...**#**B +......*.***. +A#.**.*******B +****.********* +A************************B +************************** +A.*.##.B +*.***.** +A***************.*******.*B +************.**********.*** diff --git a/2018/finals/contest.md b/2018/finals/contest.md new file mode 100644 index 0000000000000000000000000000000000000000..d933d3025b5230f0f14818608e56de4427d1e246 --- /dev/null +++ b/2018/finals/contest.md @@ -0,0 +1,68 @@ +The 2018 Hacker Cup finals are underway! The contest is being held in a room +with 2 rows of **N** desks each, with finalists sitting at some of them. + +One of the finalists, Alex, is sitting at the leftmost desk in the front row. +Another finalist, Borys, is sitting at the rightmost desk in the front row. +Unfortunately, both of them find themselves distracted by the contest room's +environment — Alex is a bit too hot on his side of the room, while Borys is a +bit too cold. If only they could switch places! Unfortunately, this would be +against the rules, but if they work together with some other contestants, +perhaps they can manage it without the contest organizers noticing... + +The initial state of each row of desks can be represented by a string of **N** +characters, with the _i_th character corresponding to the _i_th desk from the +left in that row. Each character is one of the following: + + * `A` \- Alex's desk (guaranteed to appear exactly once, as the leftmost desk in the front row) + * `B` \- Borys's desk (guaranteed to appear exactly once, as the rightmost desk in the front row) + * `*` \- A cooperative finalist's desk + * `#` \- An uncooperative finalist's desk + * `.` \- An unoccupied desk + +At any point, a single finalist may move from their current desk to an +adjacent, currently-unoccupied desk. Two desks are considered adjacent if +either they're in the same column, or they're directly side-by-side in the +same row. However, the finalists won't be foolish enough to move sideways +between two desks in the front row, as that would surely attract the contest +organizers' attention. + +Alex, Borys, and any cooperative finalists may all move between desks in this +fashion. On the other hand, uncooperative finalists are too busy actually +competing, and will never move from their original desks. + +Assuming that Alex, Borys, and the cooperative finalists all work together, is +it possible for Alex and Borys to switch seats (in other words, for Alex to +occupy the front row's rightmost desk while Borys simultaneously occupies its +leftmost desk) without the contest organizers noticing? + +### Input + +Input begins with an integer **T**, the number of parallel universes in which +the 2018 Hacker Cup is occurring. For each universe, there are two lines of +**N** characters each, as described above. The first line is the front row of +desks, and the second line is the back row of desks. + +### Output + +For the _i_th universe, output a line containing "Case #_i_: " followed by the +string "Possible" if Alex and Borys can successfully switch seats, or +"Impossible" otherwise. + +### Constraints + +1 ≤ **T** ≤ 200 +2 ≤ **N** ≤ 2,000 + +### Explanation of Sample + +In the first case, the contest room looks as follows (with grey lines +indicating adjacent desks which finalists may potentially move between). The +blue circle denotes a cooperative finalist, and the gray square denotes an +uncooperative finalist. A and B denote Alex and Borys respectively. + +One possible sequence of moves resulting in Alex and Borys switching places is +as follows (with some moves omitted): + +In the second case, Alex and Borys are unable to get past one another and +switch seats. + diff --git a/2018/finals/contest.out b/2018/finals/contest.out new file mode 100644 index 0000000000000000000000000000000000000000..5cd9aebe8aec558967a1fadc91c22c187ac78c44 --- /dev/null +++ b/2018/finals/contest.out @@ -0,0 +1,200 @@ +Case #1: Possible +Case #2: Impossible +Case #3: Possible +Case #4: Impossible +Case #5: Possible +Case #6: Impossible +Case #7: Possible +Case #8: Impossible +Case #9: Possible +Case #10: Impossible +Case #11: Impossible +Case #12: Possible +Case #13: Impossible +Case #14: Possible +Case #15: Impossible +Case #16: Possible +Case #17: Impossible +Case #18: Possible +Case #19: Possible +Case #20: Possible +Case #21: Impossible +Case #22: Impossible +Case #23: Possible +Case #24: Possible +Case #25: Impossible +Case #26: Possible +Case #27: Possible +Case #28: Possible +Case #29: Impossible +Case #30: Possible +Case #31: Impossible +Case #32: Possible +Case #33: Impossible +Case #34: Possible +Case #35: Possible +Case #36: Possible +Case #37: Possible +Case #38: Possible +Case #39: Impossible +Case #40: Possible +Case #41: Impossible +Case #42: Impossible +Case #43: Impossible +Case #44: Possible +Case #45: Impossible +Case #46: Possible +Case #47: Possible +Case #48: Possible +Case #49: Impossible +Case #50: Possible +Case #51: Impossible +Case #52: Possible +Case #53: Impossible +Case #54: Possible +Case #55: Impossible +Case #56: Possible +Case #57: Impossible +Case #58: Possible +Case #59: Possible +Case #60: Possible +Case #61: Impossible +Case #62: Possible +Case #63: Possible +Case #64: Possible +Case #65: Impossible +Case #66: Possible +Case #67: Impossible +Case #68: Possible +Case #69: Impossible +Case #70: Possible +Case #71: Possible +Case #72: Possible +Case #73: Possible +Case #74: Impossible +Case #75: Impossible +Case #76: Impossible +Case #77: Possible +Case #78: Impossible +Case #79: Possible +Case #80: Possible +Case #81: Impossible +Case #82: Possible +Case #83: Impossible +Case #84: Impossible +Case #85: Possible +Case #86: Possible +Case #87: Possible +Case #88: Impossible +Case #89: Possible +Case #90: Impossible +Case #91: Possible +Case #92: Possible +Case #93: Impossible +Case #94: Possible +Case #95: Impossible +Case #96: Possible +Case #97: Possible +Case #98: Possible +Case #99: Possible +Case #100: Possible +Case #101: Possible +Case #102: Possible +Case #103: Possible +Case #104: Possible +Case #105: Possible +Case #106: Possible +Case #107: Impossible +Case #108: Impossible +Case #109: Impossible +Case #110: Possible +Case #111: Possible +Case #112: Possible +Case #113: Possible +Case #114: Possible +Case #115: Impossible +Case #116: Possible +Case #117: Impossible +Case #118: Possible +Case #119: Impossible +Case #120: Impossible +Case #121: Impossible +Case #122: Possible +Case #123: Impossible +Case #124: Possible +Case #125: Impossible +Case #126: Possible +Case #127: Possible +Case #128: Impossible +Case #129: Possible +Case #130: Impossible +Case #131: Impossible +Case #132: Possible +Case #133: Impossible +Case #134: Impossible +Case #135: Possible +Case #136: Possible +Case #137: Possible +Case #138: Possible +Case #139: Impossible +Case #140: Possible +Case #141: Possible +Case #142: Possible +Case #143: Impossible +Case #144: Possible +Case #145: Possible +Case #146: Possible +Case #147: Possible +Case #148: Impossible +Case #149: Impossible +Case #150: Impossible +Case #151: Impossible +Case #152: Impossible +Case #153: Impossible +Case #154: Possible +Case #155: Possible +Case #156: Possible +Case #157: Impossible +Case #158: Possible +Case #159: Possible +Case #160: Impossible +Case #161: Impossible +Case #162: Impossible +Case #163: Impossible +Case #164: Impossible +Case #165: Possible +Case #166: Impossible +Case #167: Impossible +Case #168: Possible +Case #169: Impossible +Case #170: Possible +Case #171: Possible +Case #172: Possible +Case #173: Possible +Case #174: Possible +Case #175: Impossible +Case #176: Impossible +Case #177: Impossible +Case #178: Possible +Case #179: Possible +Case #180: Possible +Case #181: Impossible +Case #182: Impossible +Case #183: Possible +Case #184: Possible +Case #185: Possible +Case #186: Possible +Case #187: Impossible +Case #188: Possible +Case #189: Impossible +Case #190: Possible +Case #191: Possible +Case #192: Impossible +Case #193: Possible +Case #194: Possible +Case #195: Impossible +Case #196: Possible +Case #197: Impossible +Case #198: Impossible +Case #199: Possible +Case #200: Possible diff --git a/2018/finals/ethan.cpp b/2018/finals/ethan.cpp new file mode 100644 index 0000000000000000000000000000000000000000..34e14334df5f6d9922e2dc478844f93cb68db019 --- /dev/null +++ b/2018/finals/ethan.cpp @@ -0,0 +1,211 @@ +// Ethan Sums Shortest Distances +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 51 + +int R[2][LIM],sum[2][LIM]; +LL dyn[LIM][3][LIM]; +// dyn[i][r][p] = min. cost such that: +// - you're ending at a vertical edge in column i (its cost is exluded) +// - you previously had a partial horizontal section in row r (r=2 indicates both rows) +// - the partial horizontal section started in column p + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N; + LL S; + int i,i2,j,k,r,r2,p,p2,s; + LL ans,cur,cur2; + // testcase loop + Read(T); + Fox1(t,T) + { + // input, and compute each row's prefix sums + Read(N); + Fox(i,2) + Fox(j,N) + { + Read(R[i][j]); + sum[i][j+1]=sum[i][j]+R[i][j]; + } + S=sum[0][N]+sum[1][N]; + // initial DP step (before first vertical edge) + Fill(dyn,60); + Fox(i,N) + { + cur=0; + // compute horizontal section costs for both rows' prefixes + Fox(j,2) + { + s=0; + Fox(k,i) + { + s+=R[j][k]; + cur+=s*(S-s); + } + } + dyn[i][2][0]=cur; + } + // main DP + Fox(i,N) + FoxI(i2,i+1,N-1) + Fox(r2,2) + FoxI(p2,i+1,i2) + { + cur=0; + // compute full horizontal section cost + s=sum[r2][p2]+sum[1-r2][i+1]; + FoxI(j,i,i2-1) + { + cur+=s*(S-s); + s+=R[1-r2][j+1]; + } + // compute left partial horizontal section cost + s=0; + FoxRI(j,i+1,p2-1) + { + s+=R[r2][j]; + cur+=s*(S-s); + } + // compute right partial horizontal section cost + s=0; + FoxI(j,p2,i2-1) + { + s+=R[r2][j]; + cur+=s*(S-s); + } + // consider all previous states + Fox(r,3) + Fox(p,i+1) + { + cur2=dyn[i][r][p]+cur; + // compute vertical edge cost + if (r==2) + s=sum[r2][p2]; + else + if (r==r2) + s=sum[r2][p2]-sum[r2][p]; + else + s=sum[r2][p2]+sum[1-r2][p]; + cur2+=s*(S-s); + Min(dyn[i2][r2][p2],cur2); + } + } + // final DP step (after last vertical edge) + ans=(LL)INF*INF; + Fox(i,N) + Fox(r,3) + Fox(p,i+1) + { + cur=dyn[i][r][p]; + // compute horizontal section costs for both rows' suffixes + Fox(j,2) + { + s=0; + FoxRI(k,i+1,N-1) + { + s+=R[j][k]; + cur+=s*(S-s); + } + } + // compute vertical edge cost + if (r==2) + s=sum[0][N]; + else + s=sum[r][N]-sum[r][p]; + cur+=s*(S-s); + Min(ans,cur); + } + // output + printf("Case #%d: %lld\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/finals/ethan.html b/2018/finals/ethan.html new file mode 100644 index 0000000000000000000000000000000000000000..6d0c18f6f0db776e192d6818372ed397f078d5b0 --- /dev/null +++ b/2018/finals/ethan.html @@ -0,0 +1,109 @@ +

+The final exam is here, and it's now or never for Ethan. +His current grade is abysmal so he needs a strong showing on this exam to have any chance of passing his introductory computer science class. +

+ +

+The exam has only one question: devise an algorithm to compute the compactness of a grid tree. +

+ +

+Ethan recalls that a "grid tree" is simply an unweighted tree with 2N nodes that you can imagine being embedded within a 2xN grid. +The top row of the grid contains the nodes 1 ... N from left to right, +and the bottom row of the grid contains the nodes (N + 1) ... 2N from left to right. +Every edge in a grid tree connects a pair of nodes which are adjacent in the 2xN grid. +Two nodes are considered adjacent if either they're in the same column, or they're directly side-by-side in the same row. +There must be exactly 2N-1 edges that connect the 2N nodes to form a single tree. +Additionally, the ith node in the grid tree is labelled with an integer Ai. +

+ +

+What was "compactness" again? After some intense thought, Ethan comes up with the following pseudocode to compute the compactness, c, of a grid tree: +

+ +
    +
  •       1. Set c to be equal to 0. +
  •       2. Iterate i upwards from 1 to 2N - 1: +
  •         2a. Iterate j upwards from i+1 to 2N: +
  •           2b. Increase c by Ai * Aj * ShortestDistance(i, j) +
  •       3. Output c. +
+ +

+ShortestDistance(i, j) is a function which returns the number of edges on the shortest path from node i to node j in the tree, +which Ethan has implemented correctly. In fact, his whole algorithm is quite correct for once. This is exactly how you compute compactness! +

+ +

+There's just one issue — in his code, Ethan has chosen to store c using a rather small integer type, +which is at risk of overflowing if c becomes too large! +

+ +

+Ethan is so close! Feeling sorry for him, you'd like to make some last-minute changes to the tree in order to minimize the final value of c, +and thus minimize the probability that it will overflow in Ethan's program and cost him much-needed marks. +You can't change any of the node labels A1..2N, +but you may choose your own set of 2N - 1 edges to connect them into a grid tree. +

+ +

+For example, if A = [1, 3, 2, 2, 4, 5], then the grid of nodes looks like this: +

+ +

+You'd like to determine the minimum possible compactness which Ethan's program can produce given a valid tree of your choice. +For example, one optimal tree for the above grid of nodes (which results in the minimum possible compactness of 198) is as follows: +

+ + + +

Input

+ +

+Input begins with an integer T, the number of trees. For each tree, there are three lines. The first line contains the single integer N. +The second line contains the N space-separated integers A1..N. +The third line contains the N space-separated integers AN+1..2N. +

+ + +

Output

+ +

+For the ith tree, output a line containing "Case #i: " followed by the minimum possible output of Ethan's program. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 80
+1 ≤ N ≤ 50
+1 ≤ Ai ≤ 1,000,000
+

+ + +

Explanation of Sample

+ +

+One optimal tree for the first case is given above. For that tree, Ethan's program would compute c as the sum of the following values (with some values omitted): +

+ +
    +
  • A1 * A2 * ShortestDistance(1, 2) = 1 * 3 * 1 = 3 +
  • A1 * A3 * ShortestDistance(1, 3) = 1 * 2 * 4 = 8 +
  • ... +
  • A1 * A6 * ShortestDistance(1, 6) = 1 * 5 * 3 = 15 +
  • A2 * A3 * ShortestDistance(2, 3) = 3 * 2 * 3 = 18 +
  • ... +
  • A4 * A6 * ShortestDistance(4, 6) = 2 * 5 * 2 = 20 +
  • A5 * A6 * ShortestDistance(5, 6) = 4 * 5 * 1 = 20 +
+ +

+In the second case, there's only one possible tree, for which c = 2 * 3 * 1 = 6. +

+ +

+In the third case, two of the four possible trees are optimal (the ones omitting either the topmost or leftmost potential edge). +

+ diff --git a/2018/finals/ethan.in b/2018/finals/ethan.in new file mode 100644 index 0000000000000000000000000000000000000000..549abbd783a88f73740237f5e086fc652e7f8a8d --- /dev/null +++ b/2018/finals/ethan.in @@ -0,0 +1,241 @@ +80 +3 +1 3 2 +2 4 5 +1 +2 +3 +2 +1 1 +1 2 +5 +1 5 10 6 5 +2 3 5 8 10 +8 +11 60 25 38 49 84 96 42 +3 51 92 37 75 21 97 22 +12 +1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 999999 1000000 1000000 +1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 999999 1000000 +1 +776520 +203533 +2 +183061 311640 +76467 755581 +3 +345476 207099 495660 +933523 762745 935070 +4 +929687 177950 980988 760656 +647963 108914 505044 187998 +5 +729104 380128 346918 703252 458644 +299659 574966 38048 693336 406032 +6 +57488 815320 798768 970637 789981 300916 +812559 908119 498122 275 166636 383663 +7 +111267 125820 151702 161385 823231 606241 922837 +174034 67818 918284 79 996797 232248 459692 +8 +417466 565516 686737 624066 413567 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769760 46225 473208 426974 969604 629193 352678 122675 315234 558885 25522 301070 465427 497036 352389 894155 diff --git a/2018/finals/ethan.md b/2018/finals/ethan.md new file mode 100644 index 0000000000000000000000000000000000000000..29ba3a61d4b23e19dfe8739082db10a4276bf9a4 --- /dev/null +++ b/2018/finals/ethan.md @@ -0,0 +1,89 @@ +The final exam is here, and it's now or never for Ethan. His current grade is +abysmal so he needs a strong showing on this exam to have any chance of +passing his introductory computer science class. + +The exam has only one question: devise an algorithm to compute the compactness +of a grid tree. + +Ethan recalls that a "grid tree" is simply an unweighted tree with 2**N** +nodes that you can imagine being embedded within a 2x**N** grid. The top row +of the grid contains the nodes 1 ... **N** from left to right, and the bottom +row of the grid contains the nodes (**N** \+ 1) ... 2**N** from left to right. +Every edge in a grid tree connects a pair of nodes which are adjacent in the +2x**N** grid. Two nodes are considered adjacent if either they're in the same +column, or they're directly side-by-side in the same row. There must be +exactly 2**N**-1 edges that connect the 2**N** nodes to form a single tree. +Additionally, the _i_th node in the grid tree is labelled with an integer +**Ai**. + +What was "compactness" again? After some intense thought, Ethan comes up with +the following pseudocode to compute the compactness, **c**, of a grid tree: + + * 1\. Set **c** to be equal to 0. + * 2\. Iterate _i_ upwards from 1 to 2**N** \- 1: + * 2a. Iterate _j_ upwards from _i_+1 to 2**N**: + * 2b. Increase **c** by **Ai** * **Aj** * `ShortestDistance(i, j)` + * 3\. Output **c**. + +`ShortestDistance(i, j)` is a function which returns the number of edges on +the shortest path from node _i_ to node _j_ in the tree, which Ethan has +implemented correctly. In fact, his whole algorithm is quite correct for once. +This is exactly how you compute compactness! + +There's just one issue — in his code, Ethan has chosen to store **c** using a +rather small integer type, which is at risk of overflowing if **c** becomes +too large! + +Ethan is so close! Feeling sorry for him, you'd like to make some last-minute +changes to the tree in order to minimize the final value of **c**, and thus +minimize the probability that it will overflow in Ethan's program and cost him +much-needed marks. You can't change any of the node labels **A1..2N**, but you +may choose your own set of 2**N** \- 1 edges to connect them into a grid tree. + +For example, if **A** = [1, 3, 2, 2, 4, 5], then the grid of nodes looks like +this: + +You'd like to determine the minimum possible compactness which Ethan's program +can produce given a valid tree of your choice. For example, one optimal tree +for the above grid of nodes (which results in the minimum possible compactness +of 198) is as follows: + +### Input + +Input begins with an integer **T**, the number of trees. For each tree, there +are three lines. The first line contains the single integer **N**. The second +line contains the **N** space-separated integers **A1..N**. The third line +contains the **N** space-separated integers **AN+1..2N**. + +### Output + +For the _i_th tree, output a line containing "Case #_i_: " followed by the +minimum possible output of Ethan's program. + +### Constraints + +1 ≤ **T** ≤ 80 +1 ≤ **N** ≤ 50 +1 ≤ **Ai** ≤ 1,000,000 + +### Explanation of Sample + +One optimal tree for the first case is given above. For that tree, Ethan's +program would compute **c** as the sum of the following values (with some +values omitted): + + * **A1** * **A2** * `ShortestDistance(1, 2)` = 1 * 3 * 1 = 3 + * **A1** * **A3** * `ShortestDistance(1, 3)` = 1 * 2 * 4 = 8 + * ... + * **A1** * **A6** * `ShortestDistance(1, 6)` = 1 * 5 * 3 = 15 + * **A2** * **A3** * `ShortestDistance(2, 3)` = 3 * 2 * 3 = 18 + * ... + * **A4** * **A6** * `ShortestDistance(4, 6)` = 2 * 5 * 2 = 20 + * **A5** * **A6** * `ShortestDistance(5, 6)` = 4 * 5 * 1 = 20 + +In the second case, there's only one possible tree, for which **c** = 2 * 3 * +1 = 6. + +In the third case, two of the four possible trees are optimal (the ones +omitting either the topmost or leftmost potential edge). + diff --git a/2018/finals/ethan.out b/2018/finals/ethan.out new file mode 100644 index 0000000000000000000000000000000000000000..c9a28ff36ddde16da4faae79702d5774c49c91ab --- /dev/null +++ b/2018/finals/ethan.out @@ -0,0 +1,80 @@ +Case #1: 198 +Case #2: 6 +Case #3: 14 +Case #4: 3226 +Case #5: 1019144 +Case #6: 1419999746000002 +Case #7: 158047445160 +Case #8: 716584960310 +Case #9: 9736953596494 +Case #10: 17523029121283 +Case #11: 25624979577048 +Case #12: 51879052453960 +Case #13: 44952771515198 +Case #14: 138921477249744 +Case #15: 154557212444750 +Case #16: 263813905787586 +Case #17: 265190693651962 +Case #18: 304235644843682 +Case #19: 288437821749958 +Case #20: 562183410188758 +Case #21: 730850210619340 +Case #22: 784962166425329 +Case #23: 994997514960940 +Case #24: 1319450452295692 +Case #25: 885545596906968 +Case #26: 1335512841639492 +Case #27: 1927337493116390 +Case #28: 2640681901892200 +Case #29: 2186376337606200 +Case #30: 2509006065539666 +Case #31: 2856785766675934 +Case #32: 2563828545385840 +Case #33: 4746997236964980 +Case #34: 3586716468471062 +Case #35: 4879373984024024 +Case #36: 4752078018709930 +Case #37: 6034532623161728 +Case #38: 6771827331269718 +Case #39: 5591295909858493 +Case #40: 7298784754791768 +Case #41: 5486666474630682 +Case #42: 9332642369782525 +Case #43: 8733013396037280 +Case #44: 12130181851078450 +Case #45: 11589165888666834 +Case #46: 14122677415946934 +Case #47: 12954763484697562 +Case #48: 15352025783178374 +Case #49: 14359370522693684 +Case #50: 15119666116137528 +Case #51: 16101306160199630 +Case #52: 15766082855660810 +Case #53: 21493653492400564 +Case #54: 19581131155672756 +Case #55: 19934745199996134 +Case #56: 20144645528868781 +Case #57: 740243073201006 +Case #58: 11092025848656242 +Case #59: 513652289219673 +Case #60: 1852667838189955 +Case #61: 10850691549893895 +Case #62: 13132395681767488 +Case #63: 358576712869924 +Case #64: 1076503999130657 +Case #65: 1622500695602593 +Case #66: 76228256147076 +Case #67: 8351115399776566 +Case #68: 130602948089283 +Case #69: 21480789947800 +Case #70: 924026532280304 +Case #71: 20915671700496984 +Case #72: 2907389607114549 +Case #73: 1905642433632046 +Case #74: 776641589472030 +Case #75: 5678227649489 +Case #76: 662315938181662 +Case #77: 6741975663260179 +Case #78: 11384965678113728 +Case #79: 2271400045654 +Case #80: 7256804525346519 diff --git a/2018/finals/personal.cpp b/2018/finals/personal.cpp new file mode 100644 index 0000000000000000000000000000000000000000..b0f48de6f15ed527f89a29f1b3fa5fe5e50c3373 --- /dev/null +++ b/2018/finals/personal.cpp @@ -0,0 +1,202 @@ +// Personal Space +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 8000001 + +int K1,K2; +pair E1[LIM]; +pair E2[LIM]; +int dyn[LIM]; +set S1; +set S2; +set::iterator I1; +set::iterator I2,J2; + +void AddRect(int x1,int y1,int x2,int y2) +{ + if ((x2<0) || (y1>INF)) + return; + int i=K2+1; + E2[K2++]=mp(mp(y1,1),mp(x1,i)); + E2[K2++]=mp(mp(y2,0),mp(x2,i)); +} + +void AddRects(int x) +{ + int i; + int X[7]; + I1=S1.lower_bound(x); + Fox(i,3) + I1--; + Fox(i,7) + X[i]=*I1,I1++; + Fox(i,4) + AddRect(X[i],X[i+1],X[i+2],X[i+3]); +} + +int Query(int x) +{ + I2=S2.lower_bound(mp(x+1,0)); + I2--; + return(I2->y); +} + +void Update(int x,int v) +{ + I2=S2.lower_bound(mp(x+1,0)); + I2--; + if (v<=I2->y) + return; + if (I2->x=I2->y)) + { + J2=I2,I2++; + S2.erase(J2); + } + S2.insert(mp(x,v)); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N; + int i,j,k,x,a,b,ans; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + Read(N); + K1=0; + Fox(i,N) + { + Read(x),Read(a),Read(b); + E1[K1++]=mp(mp(a,x),1); + E1[K1++]=mp(mp(b+1,x),-1); + } + // bottom-up line sweep to generate all possible fish placement "rectangles" + sort(E1,E1+K1); + S1.clear(); + Fox1(i,4) + S1.insert(-i),S1.insert(INF+i); + K2=0; + Fox(i,K1) + { + j=i; + while ((j+10) + S1.insert(E1[k].x.y); + else + S1.erase(E1[k].x.y); + FoxI(k,i,j) + AddRects(E1[k].x.y); + i=j; + } + // bottom-up line sweep DP on rectangles + sort(E2,E2+K2); + S2.clear(); + S2.insert(mp(-INF,0)); + ans=0; + Fox(i,K2) + { + x=E2[i].y.x,j=E2[i].y.y; + if (E2[i].x.y) + Max(ans,dyn[j]=Query(x)+1); + else + Update(x,dyn[j]); + } + // output + printf("Case #%d: %d\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/finals/personal.html b/2018/finals/personal.html new file mode 100644 index 0000000000000000000000000000000000000000..950d1f37e0bc143b07deafc326064b77a23372ba --- /dev/null +++ b/2018/finals/personal.html @@ -0,0 +1,82 @@ +

+Phineas is the proud owner of an enormous new fish tank! Looking at the fish tank from the side, it can be represented as an infinite 2D plane. +Phineas has installed N vertical dividers into the tank, the ith of which is a line segment connecting points +(Xi, Ai) and (Xi, Bi). +No two dividers overlap at any point (including at their endpoints). +

+ +

+Unfortunately, Phineas's fish tank is lacking in fish, but he'll soon rectify that! He's going to place one or more fish into the tank, with each one initially occupying any point of his choice +(each coordinate may be non-integral and arbitrarily small or large). No fish's location may overlap with any of the dividers (including their endpoints), but multiple fish may be placed at the same coordinates. +

+ +

+After the fish have been placed, each one may swim left and right freely (continuously decreasing or increasing its x-coordinate), as long as it never touches a divider (including its endpoints). Fish do not block one another from swimming, so multiple fish are able to occupy the same coordinates. However, no fish is able to change its y-coordinate. +

+ +

+At any given moment, each fish feels that its personal space is violated if any other fish is currently at the same x-coordinate as it +(either at its current y-coordinate, or arbitrarily far above or below it). As such, if two fish ever occupy the same x-coordinate as one another, they both become unhappy. +

+ +

+Phineas suspects that someone's planning on stealing one of his dividers soon after he places fish into the tank! +

+ +

+And he wants to ensure that none of his fish have any chance of becoming unhappy! +

+ +

+But he still wants to have as many fish as possible! +

+ +

+As such, he'd like to determine the maximum number of fish which he can place into the tank such that, no matter which single one of the N dividers is subsequently removed, +and no matter how the fish then decide to swim around, none of the fish can ever become unhappy. +

+ + +

Input

+ +

+Input begins with an integer T, the number of fish tanks. +For each fish tank, there is first a line containing the single integer N. +Then, N lines follow, the ith of which contains the 3 space-separated integers +Xi, Ai, and Bi. +

+ + +

Output

+ +

+For the ith fish tank, output a line containing "Case #i: " followed by the maximum number of fish which Phineas can place into the tank with no risk of unhappiness. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 90
+1 ≤ N ≤ 500,000
+0 ≤ Xi ≤ 1,000,000,000
+0 ≤ Ai < Bi ≤ 1,000,000,000
+

+ + +

Explanation of Sample

+ +

+In the first case, Phineas could, for example, place a fish at coordinates (5, 5). If he placed another fish anywhere else in the tank (for example at coordinates (-1, 2)), +then if the single divider were removed, both fish would be able to swim freely and might come to occupy the same x-coordinate as one another. +

+ +

+In the second case, Phineas can place one fish at coordinates (-5, 5) and another at coordinates (15, 5). +

+ +

+In the third case, no matter where Phineas might place two fish in the tank, at least one choice of removed divider would result in them potentially becoming unhappy. +

+ + diff --git a/2018/finals/personal.in b/2018/finals/personal.in new file mode 100644 index 0000000000000000000000000000000000000000..35dcb536c394573e577da80a36f6841d62b56bb4 --- /dev/null +++ b/2018/finals/personal.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:02fe0e1530fd3d2688cf32df245f9976557d582ef811dfe918e22396b3fecd7c +size 42711476 diff --git a/2018/finals/personal.md b/2018/finals/personal.md new file mode 100644 index 0000000000000000000000000000000000000000..8bdaa889e28458656ff4b0d276680c0545e87127 --- /dev/null +++ b/2018/finals/personal.md @@ -0,0 +1,73 @@ +Phineas is the proud owner of an enormous new fish tank! Looking at the fish +tank from the side, it can be represented as an infinite 2D plane. Phineas has +installed **N** vertical dividers into the tank, the _i_th of which is a line +segment connecting points (**Xi**, **Ai**) and (**Xi**, **Bi**). No two +dividers overlap at any point (including at their endpoints). + +Unfortunately, Phineas's fish tank is lacking in fish, but he'll soon rectify +that! He's going to place one or more fish into the tank, with each one +initially occupying any point of his choice (each coordinate may be non- +integral and arbitrarily small or large). No fish's location may overlap with +any of the dividers (including their endpoints), but multiple fish may be +placed at the same coordinates. + +After the fish have been placed, each one may swim left and right freely +(continuously decreasing or increasing its x-coordinate), as long as it never +touches a divider (including its endpoints). Fish do not block one another +from swimming, so multiple fish are able to occupy the same coordinates. +However, no fish is able to change its y-coordinate. + +At any given moment, each fish feels that its personal space is violated if +any other fish is currently at the same x-coordinate as it (either at its +current y-coordinate, or arbitrarily far above or below it). As such, if two +fish ever occupy the same x-coordinate as one another, they both become +unhappy. + +Phineas suspects that someone's planning on stealing one of his dividers soon +after he places fish into the tank! + +And he wants to ensure that none of his fish have any chance of becoming +unhappy! + +But he still wants to have as many fish as possible! + +As such, he'd like to determine the maximum number of fish which he can place +into the tank such that, no matter which single one of the **N** dividers is +subsequently removed, and no matter how the fish then decide to swim around, +none of the fish can ever become unhappy. + +### Input + +Input begins with an integer **T**, the number of fish tanks. For each fish +tank, there is first a line containing the single integer **N**. Then, **N** +lines follow, the _i_th of which contains the 3 space-separated integers +**Xi**, **Ai**, and **Bi**. + +### Output + +For the _i_th fish tank, output a line containing "Case #_i_: " followed by +the maximum number of fish which Phineas can place into the tank with no risk +of unhappiness. + +### Constraints + +1 ≤ **T** ≤ 90 +1 ≤ **N** ≤ 500,000 +0 ≤ **Xi** ≤ 1,000,000,000 +0 ≤ **Ai** < **Bi** ≤ 1,000,000,000 + +### Explanation of Sample + +In the first case, Phineas could, for example, place a fish at coordinates (5, +5). If he placed another fish anywhere else in the tank (for example at +coordinates (-1, 2)), then if the single divider were removed, both fish would +be able to swim freely and might come to occupy the same x-coordinate as one +another. + +In the second case, Phineas can place one fish at coordinates (-5, 5) and +another at coordinates (15, 5). + +In the third case, no matter where Phineas might place two fish in the tank, +at least one choice of removed divider would result in them potentially +becoming unhappy. + diff --git a/2018/finals/personal.out b/2018/finals/personal.out new file mode 100644 index 0000000000000000000000000000000000000000..d63d6bb53294e6cd6e2a44c042300b6de0f6e607 --- /dev/null +++ b/2018/finals/personal.out @@ -0,0 +1,90 @@ +Case #1: 1 +Case #2: 2 +Case #3: 1 +Case #4: 3 +Case #5: 12 +Case #6: 250001 +Case #7: 163168 +Case #8: 166585 +Case #9: 164528 +Case #10: 1637 +Case #11: 38 +Case #12: 663 +Case #13: 945 +Case #14: 539 +Case #15: 427 +Case #16: 9 +Case #17: 197 +Case #18: 1371 +Case #19: 327 +Case #20: 8 +Case #21: 1063 +Case #22: 1079 +Case #23: 1549 +Case #24: 9 +Case #25: 18 +Case #26: 675 +Case #27: 507 +Case #28: 1067 +Case #29: 1248 +Case #30: 5 +Case #31: 769 +Case #32: 246 +Case #33: 310 +Case #34: 1350 +Case #35: 1702 +Case #36: 445 +Case #37: 610 +Case #38: 946 +Case #39: 1109 +Case #40: 1553 +Case #41: 6 +Case #42: 881 +Case #43: 653 +Case #44: 389 +Case #45: 5 +Case #46: 1689 +Case #47: 49 +Case #48: 1365 +Case #49: 8 +Case #50: 779 +Case #51: 8 +Case #52: 971 +Case #53: 779 +Case #54: 491 +Case #55: 59 +Case #56: 684 +Case #57: 561 +Case #58: 929 +Case #59: 1547 +Case #60: 21 +Case #61: 7 +Case #62: 608 +Case #63: 857 +Case #64: 6 +Case #65: 872 +Case #66: 570 +Case #67: 253 +Case #68: 782 +Case #69: 504 +Case #70: 6 +Case #71: 7 +Case #72: 611 +Case #73: 1634 +Case #74: 722 +Case #75: 7 +Case #76: 1487 +Case #77: 1179 +Case #78: 955 +Case #79: 1486 +Case #80: 735 +Case #81: 1355 +Case #82: 1090 +Case #83: 1481 +Case #84: 232 +Case #85: 8 +Case #86: 508 +Case #87: 63 +Case #88: 1368 +Case #89: 7 +Case #90: 391 diff --git a/2018/finals/stockholm.cpp b/2018/finals/stockholm.cpp new file mode 100644 index 0000000000000000000000000000000000000000..b788c4052b86d3791f3581b57ae760b922c027a1 --- /dev/null +++ b/2018/finals/stockholm.cpp @@ -0,0 +1,146 @@ +// Stockholm +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +pair Cost(string s) +{ + if (!Sz(s)) + return(mp(0,0)); + int i=Sz(s)-1; + // delete equal digits from the end + while ((i) && (s[i]==s[i-1])) + i--; + // delete one more digit from the end + if (i) + i--; + // now empty? + if (!i) + return(mp(0,Sz(s)>=2 && s[0]==s[Sz(s)-1])); + pair c=Cost(s.substr(0,i)); + c.x++; + return(c); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + LL A,B; + string X,Y; + int p,ans; + pair c1,c2; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + scanf("%lld%lld",&A,&B); + // convert nodes to binary + A++,B++; + X=Y=""; + while (A) + X=char(A%2+'0')+X,A/=2; + while (B) + Y=char(B%2+'0')+Y,B/=2; + // find LCA + Fox(p,min(Sz(X),Sz(Y))) + if (X[p]!=Y[p]) + break; + // compute costs to LCA + X=X.substr(p); + Y=Y.substr(p); + c1=Cost(X),c2=Cost(Y); + ans=c1.x+c2.x; + // at least one node is coming from the outside, and neither is the LCA? + if ((Sz(X)) && (Sz(Y)) && (c1.y || c2.y)) + ans++; + // output + printf("Case #%d: %d\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/finals/stockholm.html b/2018/finals/stockholm.html new file mode 100644 index 0000000000000000000000000000000000000000..1abdfd59769f0790469b3639e445481ed2a3eadc --- /dev/null +++ b/2018/finals/stockholm.html @@ -0,0 +1,76 @@ +

+Melody is visiting the beautiful city of Stockholm, Sweden! Stockholm has a number of waterways flowing through it, dividing the city up into a number of islands. +Like most visitors, Melody was surprised to learn that there are in fact an infinite number of waterways and an infinite number of islands! +

+ +

+The waterways flow between an infinite number of junctions, which are numbered with non-negative integers starting from 0. +There's an infinitely-long waterway flowing into junction 0, and then for each junction j, +there are two waterways flowing out of it into junctions 2j+1 and 2j+2. This results in each junction having exactly three incident waterways. +

+ +

+An island is a connected region of land. Each waterway is adjacent to two different islands (one on each side of it), and has a bridge connecting those two islands together. +Each junction is adjacent to three different islands (the distinct islands adjacent to its incident waterways). +

+ +

+A portion of Stockholm (including junctions 0 to 14) is illustrated below, with islands represented as contiguous regions filled with various shades of grey, and bridges between them represented as brown curves: +

+ + + +

+Melody is currently aboard a friend's boat parked at some junction A, but she wants to visit another friend's boat which is parked at a different junction B. +She'll begin by getting out of the first boat onto any of the three islands of her choice which are adjacent to junction A. +She'll then walk on land until she arrives at any of the three islands which are adjacent to junction B, +potentially crossing some bridges between islands along the way. Finally, she'll board the second boat from that island. +

+ +

+Melody's not a big fan of walking on Stockholm's rather unevenly cobbled bridges, so she'd like to cross as few of them as possible along the way. +Help her determine the minimum number of bridges which she must cross to walk from junction A to junction B! +

+ +

+For example, the following illustration indicates the only optimal path from junction 8 to junction 5 in red (crossing only 1 bridge), +and one of the optimal paths from junction 12 to junction 3 in yellow (crossing only 2 bridges): +

+ + + +

Input

+ +

+Input begins with an integer T, the number of times Melody needs to travel between two junctions. +For each trip, there is a single line containing the space-separated integers A and B. +

+ + +

Output

+ +

+For the ith trip, output a line containing "Case #i: " followed by the minimum number of bridges which Melody must cross to walk from junction +A to junction B. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 2,000
+0 ≤ A, B ≤ 1018
+A ≠ B +

+ + +

Explanation of Sample

+ +

+The first two cases are described above. +

+ +

+In the third and fourth cases, it's unnecessary for Melody to cross any bridges. +

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/dev/null +++ b/2018/finals/stockholm.md @@ -0,0 +1,67 @@ +Melody is visiting the beautiful city of Stockholm, Sweden! Stockholm has a +number of waterways flowing through it, dividing the city up into a number of +islands. Like most visitors, Melody was surprised to learn that there are in +fact an infinite number of waterways and an infinite number of islands! + +The waterways flow between an infinite number of junctions, which are numbered +with non-negative integers starting from 0. There's an infinitely-long +waterway flowing into junction 0, and then for each junction _j_, there are +two waterways flowing out of it into junctions 2_j_+1 and 2_j_+2. This results +in each junction having exactly three incident waterways. + +An island is a connected region of land. Each waterway is adjacent to two +different islands (one on each side of it), and has a bridge connecting those +two islands together. Each junction is adjacent to three different islands +(the distinct islands adjacent to its incident waterways). + +A portion of Stockholm (including junctions 0 to 14) is illustrated below, +with islands represented as contiguous regions filled with various shades of +grey, and bridges between them represented as brown curves: + +![]({{PHOTO_ID:923060468192530}}) + +Melody is currently aboard a friend's boat parked at some junction **A**, but +she wants to visit another friend's boat which is parked at a different +junction **B**. She'll begin by getting out of the first boat onto any of the +three islands of her choice which are adjacent to junction **A**. She'll then +walk on land until she arrives at any of the three islands which are adjacent +to junction **B**, potentially crossing some bridges between islands along the +way. Finally, she'll board the second boat from that island. + +Melody's not a big fan of walking on Stockholm's rather unevenly cobbled +bridges, so she'd like to cross as few of them as possible along the way. Help +her determine the minimum number of bridges which she must cross to walk from +junction **A** to junction **B**! + +For example, the following illustration indicates the only optimal path from +junction 8 to junction 5 in red (crossing only 1 bridge), and one of the +optimal paths from junction 12 to junction 3 in yellow (crossing only 2 +bridges): + +![]({{PHOTO_ID:293195401822038}}) + +### Input + +Input begins with an integer **T**, the number of times Melody needs to travel +between two junctions. For each trip, there is a single line containing the +space-separated integers **A** and **B**. + +### Output + +For the _i_th trip, output a line containing "Case #_i_: " followed by the +minimum number of bridges which Melody must cross to walk from junction **A** +to junction **B**. + +### Constraints + +1 ≤ **T** ≤ 2,000 +0 ≤ **A**, **B** ≤ 1018 +**A** ≠ **B** + +### Explanation of Sample + +The first two cases are described above. + +In the third and fourth cases, it's unnecessary for Melody to cross any +bridges. + diff --git a/2018/finals/stockholm.out b/2018/finals/stockholm.out new file mode 100644 index 0000000000000000000000000000000000000000..0fa3c4e2d898df21a4cf9cfbbd5f310f46551915 --- /dev/null +++ b/2018/finals/stockholm.out @@ -0,0 +1,2000 @@ +Case #1: 1 +Case #2: 2 +Case #3: 0 +Case #4: 0 +Case #5: 1 +Case #6: 6 +Case #7: 3 +Case #8: 9 +Case #9: 46 +Case #10: 16 +Case #11: 0 +Case #12: 0 +Case #13: 0 +Case #14: 0 +Case #15: 0 +Case #16: 0 +Case #17: 0 +Case #18: 1 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41 +Case #1587: 38 +Case #1588: 35 +Case #1589: 39 +Case #1590: 35 +Case #1591: 33 +Case #1592: 37 +Case #1593: 39 +Case #1594: 36 +Case #1595: 40 +Case #1596: 30 +Case #1597: 37 +Case #1598: 34 +Case #1599: 39 +Case #1600: 39 +Case #1601: 41 +Case #1602: 28 +Case #1603: 39 +Case #1604: 33 +Case #1605: 39 +Case #1606: 42 +Case #1607: 38 +Case #1608: 38 +Case #1609: 37 +Case #1610: 36 +Case #1611: 37 +Case #1612: 33 +Case #1613: 39 +Case #1614: 38 +Case #1615: 39 +Case #1616: 37 +Case #1617: 35 +Case #1618: 39 +Case #1619: 34 +Case #1620: 38 +Case #1621: 38 +Case #1622: 37 +Case #1623: 31 +Case #1624: 36 +Case #1625: 36 +Case #1626: 37 +Case #1627: 33 +Case #1628: 34 +Case #1629: 28 +Case #1630: 41 +Case #1631: 39 +Case #1632: 37 +Case #1633: 36 +Case #1634: 34 +Case #1635: 37 +Case #1636: 32 +Case #1637: 41 +Case #1638: 40 +Case #1639: 36 +Case #1640: 41 +Case #1641: 36 +Case #1642: 36 +Case #1643: 36 +Case #1644: 37 +Case #1645: 40 +Case #1646: 42 +Case #1647: 37 +Case #1648: 35 +Case 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37 +Case #1712: 39 +Case #1713: 36 +Case #1714: 33 +Case #1715: 39 +Case #1716: 36 +Case #1717: 30 +Case #1718: 36 +Case #1719: 38 +Case #1720: 37 +Case #1721: 33 +Case #1722: 40 +Case #1723: 36 +Case #1724: 37 +Case #1725: 36 +Case #1726: 42 +Case #1727: 42 +Case #1728: 34 +Case #1729: 35 +Case #1730: 42 +Case #1731: 36 +Case #1732: 38 +Case #1733: 41 +Case #1734: 36 +Case #1735: 43 +Case #1736: 40 +Case #1737: 37 +Case #1738: 40 +Case #1739: 39 +Case #1740: 37 +Case #1741: 36 +Case #1742: 33 +Case #1743: 32 +Case #1744: 38 +Case #1745: 36 +Case #1746: 32 +Case #1747: 42 +Case #1748: 40 +Case #1749: 35 +Case #1750: 39 +Case #1751: 41 +Case #1752: 37 +Case #1753: 37 +Case #1754: 32 +Case #1755: 34 +Case #1756: 40 +Case #1757: 39 +Case #1758: 36 +Case #1759: 45 +Case #1760: 42 +Case #1761: 40 +Case #1762: 37 +Case #1763: 40 +Case #1764: 35 +Case #1765: 36 +Case #1766: 36 +Case #1767: 40 +Case #1768: 40 +Case #1769: 43 +Case #1770: 37 +Case #1771: 36 +Case #1772: 32 +Case #1773: 36 +Case #1774: 34 +Case #1775: 32 +Case #1776: 32 +Case #1777: 38 +Case #1778: 42 +Case #1779: 40 +Case #1780: 39 +Case #1781: 39 +Case #1782: 39 +Case #1783: 44 +Case #1784: 43 +Case #1785: 36 +Case #1786: 38 +Case #1787: 39 +Case #1788: 40 +Case #1789: 36 +Case #1790: 38 +Case #1791: 40 +Case #1792: 37 +Case #1793: 39 +Case #1794: 35 +Case #1795: 31 +Case #1796: 40 +Case #1797: 40 +Case #1798: 40 +Case #1799: 40 +Case #1800: 37 +Case #1801: 36 +Case #1802: 34 +Case #1803: 33 +Case #1804: 37 +Case #1805: 42 +Case #1806: 40 +Case #1807: 40 +Case #1808: 34 +Case #1809: 41 +Case #1810: 35 +Case #1811: 38 +Case #1812: 41 +Case #1813: 34 +Case #1814: 40 +Case #1815: 36 +Case #1816: 42 +Case #1817: 37 +Case #1818: 31 +Case #1819: 35 +Case #1820: 34 +Case #1821: 37 +Case #1822: 40 +Case #1823: 36 +Case #1824: 37 +Case #1825: 37 +Case #1826: 44 +Case #1827: 41 +Case #1828: 36 +Case #1829: 38 +Case #1830: 35 +Case #1831: 39 +Case #1832: 37 +Case #1833: 35 +Case #1834: 42 +Case #1835: 34 +Case #1836: 38 +Case #1837: 33 +Case #1838: 40 +Case #1839: 38 +Case #1840: 37 +Case #1841: 38 +Case #1842: 36 +Case #1843: 41 +Case #1844: 35 +Case #1845: 35 +Case #1846: 41 +Case #1847: 37 +Case #1848: 37 +Case #1849: 40 +Case #1850: 32 +Case #1851: 35 +Case #1852: 39 +Case #1853: 37 +Case #1854: 38 +Case #1855: 37 +Case #1856: 38 +Case #1857: 37 +Case #1858: 35 +Case #1859: 35 +Case #1860: 37 +Case #1861: 38 +Case #1862: 35 +Case #1863: 38 +Case #1864: 36 +Case #1865: 37 +Case #1866: 36 +Case #1867: 31 +Case #1868: 39 +Case #1869: 40 +Case #1870: 35 +Case #1871: 34 +Case #1872: 37 +Case #1873: 37 +Case #1874: 37 +Case #1875: 42 +Case #1876: 34 +Case #1877: 36 +Case #1878: 41 +Case #1879: 38 +Case #1880: 38 +Case #1881: 34 +Case #1882: 41 +Case #1883: 33 +Case #1884: 37 +Case #1885: 37 +Case #1886: 32 +Case #1887: 36 +Case #1888: 33 +Case #1889: 37 +Case #1890: 41 +Case #1891: 38 +Case #1892: 39 +Case #1893: 40 +Case #1894: 32 +Case #1895: 42 +Case #1896: 30 +Case #1897: 35 +Case #1898: 37 +Case #1899: 36 +Case #1900: 36 +Case #1901: 38 +Case #1902: 35 +Case #1903: 37 +Case #1904: 36 +Case #1905: 42 +Case #1906: 38 +Case #1907: 43 +Case #1908: 35 +Case #1909: 36 +Case #1910: 34 +Case #1911: 36 +Case #1912: 42 +Case #1913: 34 +Case #1914: 40 +Case #1915: 39 +Case #1916: 32 +Case #1917: 32 +Case #1918: 30 +Case #1919: 36 +Case #1920: 39 +Case #1921: 39 +Case #1922: 37 +Case #1923: 44 +Case #1924: 36 +Case #1925: 34 +Case #1926: 37 +Case #1927: 36 +Case #1928: 35 +Case #1929: 39 +Case #1930: 40 +Case #1931: 33 +Case #1932: 39 +Case #1933: 32 +Case #1934: 39 +Case #1935: 32 +Case #1936: 38 +Case #1937: 32 +Case #1938: 44 +Case #1939: 36 +Case #1940: 37 +Case #1941: 37 +Case #1942: 38 +Case #1943: 46 +Case #1944: 36 +Case #1945: 38 +Case #1946: 36 +Case #1947: 37 +Case #1948: 33 +Case #1949: 39 +Case #1950: 40 +Case #1951: 37 +Case #1952: 39 +Case #1953: 40 +Case #1954: 35 +Case #1955: 36 +Case #1956: 39 +Case #1957: 35 +Case #1958: 41 +Case #1959: 37 +Case #1960: 36 +Case #1961: 37 +Case #1962: 37 +Case #1963: 39 +Case #1964: 41 +Case #1965: 38 +Case #1966: 36 +Case #1967: 37 +Case #1968: 40 +Case #1969: 37 +Case #1970: 34 +Case #1971: 37 +Case #1972: 38 +Case #1973: 38 +Case #1974: 39 +Case #1975: 37 +Case #1976: 32 +Case #1977: 33 +Case #1978: 40 +Case #1979: 41 +Case #1980: 33 +Case #1981: 38 +Case #1982: 41 +Case #1983: 41 +Case #1984: 37 +Case #1985: 38 +Case #1986: 35 +Case #1987: 37 +Case #1988: 32 +Case #1989: 41 +Case #1990: 38 +Case #1991: 42 +Case #1992: 39 +Case #1993: 38 +Case #1994: 41 +Case #1995: 44 +Case #1996: 40 +Case #1997: 40 +Case #1998: 35 +Case #1999: 33 +Case #2000: 37 diff --git a/2018/quals/ethanstring.cpp b/2018/quals/ethanstring.cpp new file mode 100644 index 0000000000000000000000000000000000000000..f03b7b7fdbe98d345e8128f584f1f237fb1c4de3 --- /dev/null +++ b/2018/quals/ethanstring.cpp @@ -0,0 +1,117 @@ +// Ethan Searches for a String +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + string A,B; + int i,j; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + cin >> A; + // check for a valid prefix to repeat + B="Impossible"; + Fox1(i,Sz(A)-1) + if (A[i]==A[0]) + { + Fox(j,Sz(A)) + if (A[j]!=A[j%i]) + B=A.substr(0,i)+A; + break; + } + // output + printf("Case #%d: ",t); + cout << B << endl; + } + return(0); +} \ No newline at end of file diff --git a/2018/quals/ethanstring.html b/2018/quals/ethanstring.html new file mode 100644 index 0000000000000000000000000000000000000000..d05533c3cfd8f821ca81ca33eaa90a88dabfe05d --- /dev/null +++ b/2018/quals/ethanstring.html @@ -0,0 +1,79 @@ +

+Ethan's doing his very first programming assignment: implementing a contains() function. This function takes two strings, A and B, +and returns true if A is a substring of B, and false otherwise. +

+ +

+Here's the algorithm that Ethan has come up with. Note that |A| denotes the length of A, and the individual characters of the strings are 1-indexed. +

+ +
    +
  1. Set i and j to each be equal to 1.
    2. +
  2. If i > |A|, return true.
    3. +
  3. If j > |B|, return false.
    4. +
  4. If Ai = Bj, increment i and j by 1 each, and return to Step 2.
    5. +
  5. If i = 1, increment j by 1, and return to Step 2.
    6. +
  6. Set i to be equal to 1, and return to Step 2.
    7. +
+ +

+As the TA in charge of grading Ethan's assignment, this doesn't look quite right to you. To make sure Ethan doesn't get any more credit than he deserves, you'd like to find some inputs +for which his algorithm returns false even though it should return true. +

+ +

+The professor teaching this class has provided you with a half-written list of test cases. In particular, it's a list of inputs for the A parameter, and you're free to come up with +your own inputs for the B parameter. For each given string A, you want to find a string B that will cause Ethan's algorithm to return the +wrong output (false instead of true), if possible. A will only contain uppercase alphabetic characters, and B must follow the same constraint. The test cases shouldn't be too +large, so B must also contain at most 10,000 characters. +

+ +

Input

+ +

+Input begins with an integer T, the number of given strings. +Then, T lines follow. Each line contains a single string, A. +

+ + +

Output

+ +

+For the ith given string, print a line containing "Case #i: " +followed by any valid string B that will cause Ethan's algorithm to return the wrong value, or "Impossible" if no such string exists. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 100
+1 ≤ |A| ≤ 2,000
+

+ + +

Explanation of Sample

+ +

+In the first case, i and j will have these values in order the first 10 times the algorithm is at Step 2: +

+ +
+i j
+---
+1 1
+2 2
+1 2
+1 3
+1 4
+1 5
+2 6
+3 7
+4 8
+1 8
+
+ +

+Please note that other outputs for example cases 1 and 3 would also be accepted. +

+ diff --git a/2018/quals/ethanstring.in b/2018/quals/ethanstring.in new file mode 100644 index 0000000000000000000000000000000000000000..573c50aed496caf3346fbed59b359239bdf2f154 --- /dev/null +++ b/2018/quals/ethanstring.in @@ -0,0 +1,175 @@ +174 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diff --git a/2018/quals/ethanstring.md b/2018/quals/ethanstring.md new file mode 100644 index 0000000000000000000000000000000000000000..0937790c82cdc18683236c93398c98f3eef28916 --- /dev/null +++ b/2018/quals/ethanstring.md @@ -0,0 +1,66 @@ +Ethan's doing his very first programming assignment: implementing a +`contains()` function. This function takes two strings, **A** and **B**, and +returns `true` if **A** is a substring of **B**, and `false` otherwise. + +Here's the algorithm that Ethan has come up with. Note that |**A**| denotes +the length of **A**, and the individual characters of the strings are +1-indexed. + + 1. Set _i_ and _j_ to each be equal to 1. + 2. If _i_ > |**A**|, return `true`. + 3. If _j_ > |**B**|, return `false`. + 4. If **Ai** = **Bj**, increment _i_ and _j_ by 1 each, and return to Step 2. + 5. If _i_ = 1, increment _j_ by 1, and return to Step 2. + 6. Set _i_ to be equal to 1, and return to Step 2. + +As the TA in charge of grading Ethan's assignment, this doesn't look quite +right to you. To make sure Ethan doesn't get any more credit than he deserves, +you'd like to find some inputs for which his algorithm returns `false` even +though it should return `true`. + +The professor teaching this class has provided you with a half-written list of +test cases. In particular, it's a list of inputs for the **A** parameter, and +you're free to come up with your own inputs for the **B** parameter. For each +given string **A**, you want to find a string **B** that will cause Ethan's +algorithm to return the wrong output (`false` instead of `true`), if possible. +**A** will only contain uppercase alphabetic characters, and **B** must follow +the same constraint. The test cases shouldn't be too large, so **B** must also +contain at most 10,000 characters. + +### Input + +Input begins with an integer **T**, the number of given strings. Then, **T** +lines follow. Each line contains a single string, **A**. + +### Output + +For the _i_th given string, print a line containing "Case #_i_: " followed by +any valid string **B** that will cause Ethan's algorithm to return the wrong +value, or "Impossible" if no such string exists. + +### Constraints + +1 ≤ **T** ≤ 100 +1 ≤ |**A**| ≤ 2,000 + +### Explanation of Sample + +In the first case, _i_ and _j_ will have these values in order the first 10 +times the algorithm is at Step 2: + + i j + --- + 1 1 + 2 2 + 1 2 + 1 3 + 1 4 + 1 5 + 2 6 + 3 7 + 4 8 + 1 8 + +Please note that other outputs for example cases 1 and 3 would also be +accepted. + diff --git a/2018/quals/ethanstring.out b/2018/quals/ethanstring.out new file mode 100644 index 0000000000000000000000000000000000000000..0fdf02befd28dc5835d2e2468fc0d8a0c062a81b --- /dev/null +++ b/2018/quals/ethanstring.out @@ -0,0 +1,174 @@ +Case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ase #2: TAVRNJSVTAVRNJSVTRNPQXHVATRLKWBGWMMZYUABIMOSXD +Case #3: Impossible +Case #4: MTZSBROOAHTIQILRHIUPEYKLRHRBPEFGUORVZQXEMTZSBROOAHTIQILRHIUPEYKLRHRBPEFGUORVZQXEMSAPWMTDZXOEJEZKVPJIGSLNK +Case #5: MHMHMTFMCRIXAEKPTUHZEXWZCXPISNGCUSUTLOFQMKVUKVLHAMSAQNDHANTJSMEAEKZDENGERLUTOYZEJLDTVQKPYXOFYTBHUSGEHIMKVICCGWORPRHZAXSCGCCYWULMKWEALVWWQSGWRWCOAIMIDXZJDVQNVYVIJOCFXZUYNHXYSUQPEIRZTQXGDKGBMOXJPKTCRMETQIIEDZCPHMDDHXCLCWRDKPJTENWUAOMSLHASDRSRVJDWTIOYQFYFJIXMPZQHHSLTMDVZJTHHUTICUEQATLYLKUHXGRRPWDDOAYGWBDGPLZFMHNCCKUCUEKKFFDCFCTUSJEGTOYFGRDSFEOIGDDCCONGSJOQQMCYJHTLMXYZKMPANCLSRNYVKQYBSYGNZCNPRHPXOEECVCMOYMXSNKWMTCKPPWKKKDGYZRUPWKCCKPOFFRISUALUZIKSWUJCLITQENGJXQLEMGAGDMVTPWAGTCKKMKNKDGLRQUFUZFAQHXAHTZXBCERSRFPCNIMFTWWIPWFFEXEFPSCRFKVOKOTPKYLQAQUAWWVXCDIGMFCWNCQFJEQPNGYCGHHSNYJGYEUHMGYMJCDAJNIKQYERTHCUOJNDQGZNNBGAJRYBFKMUPDSLLLFATVDMLGOCIWMQAARVRQKLVQZOYACNALCZPUSMDXLDDXNSQMODTENRRZDZLTBMWVHIMPRRDPTFCIPKFYSFBJDGKXSXCZXJSCCRFSFAFLXEFGWDJUEQDBBGRNXEZBFBRGCHCTYCZEICMOVRFWHQWFTECCYARJHZQGFQDRPEAQTWAFNNKNQIVIMNBOIAQEWICPEXKUEWJPLCOGUIGTYWUHVUBQPWXBWCCMFVQAFBTODHWCRFKSQEDBAORJAFAKUIVVBWCYCTGEOSSYOJXGJUSTBCHJNUBLBDJLEIYUFGSOPJDYJCLSDAIMKKEZDWRLJUYDRKCSYMNTAETEYBANFRAHBRZGFWNJXUYHFAZERLRXOWXVZHDCZXSKMYGOGMDAIFYTPYRTCGMRDDBJQNXDMCSXFKPGLPZFSOVUUGKJFRBUWRXXXOODAAHKRMFRBFKNTCUIVAJSPTEQVSYJSUFVSVBFTKXONCWJRWSVNCVXJVEKHKTVDKNVCWEZRVRNCNFHCRQJUDGETQSBWPKVCNOWJXGSYAKZVGAXNRFKIJWGCGYPACXPZKGFHQPGIMVJSMGSDDSQCMMLYSBWWLPKAQKEXFRUAMUNIGRSKPPEQGOBMYZFMKUTZNLWOMDGCDBOLEXAZFNDMTTWCQQAGPCIQWTYVNBXTZDOGIVEXXJXXIQUZAUSBCEDWZYQVVJXHHLGLPZOQHDPFLCUDLTDWEFOPOPVJUBKMETKPVJBBYFPLGAGEFBTXZPTCTPQOEUBWQIWEGTPAUAGATHBGYBDBDMJEOHOKDBOBRTMKKBAHYRPPIIPTNICGSLKNQHLYPUBLUMTOVNUCBVAEKICJPVKVSKLQVDZSVEKQDLIEPLLQLKETVOLYUGYTXFSKUGWNHVRQHHOIOTQHLUEFSKKKOZJDAZPTCRXEDVLXXPBDHVUEFUZBARPTRGLJBXZDCXGXJRZZTHUCIJJXJPIJIAEXCWVOMFOKHSTNHVYMCBYXJDTEWNFLXIIXAQGBZFMGTIXGCKSVQATUPOUMFUIIHBRVXNRNGGFSZQBMWLDUPTHKHIIPYFODTDTSTTNEIYFNSVWCBATWQQZVFHUCQZKVTIBUFGOSJITJORFHZPCREOTBWKILWQXKRYVMLCKWFRWHAUGSAASKTWLHISUQZNAVIAZKOJQICEQAYDYOJANVQCTZGRVTUXVUCOUTZJDUEODGRRVWNFILUPB +Case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ase #7: Impossible +Case #8: Impossible +Case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ase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ase #11: Impossible +Case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ase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ase #14: ABABAC +Case #15: AIYSTDXJWYNXVXHHPFNPMSXXUUFUYOSBUBHLPSUSOZCDUYFISKTVYOGDXMYSZOIMDGAIYSTDXJWYNXVXHHPFNPMSXXUUFUYOSBUBHLPSUSOZCDUYFISKTVYOGDXMYSZOIMDGACGGRUBMFWWCEMHQXSRTIUYTEWFMCPEKYQYGXJCISPOSZVRIPQQQNARHEWAMUYNCYDAAVHNXSTCBAQUWATXQPKWIHZISUIUWCXWEACYOTGNIATEHXVWTHGYOLFFVHLTRVZRPSJGXCMIWNSMQRQFXPYZNVGJEBJRUBGCCENLEOIXMDWWNNRLBIVJUGZWISAWTWQXQKOTZNBRUYWOVHIUZNUEFJDMRLWKVXEOQALPQAVDWLAIAWOUUDBRJRBSQUNYSXTJJHCLQILLVYAHMMWAGFKOATXMRHUOYSWHOLBJDOLUYQRBZTISGJUBPKLEHIBYBHMBGVJEMRQTXVUM +Case #16: XQHQYBQGKOKCXQHQYBQGKOKCXKFINHPXRCLDKRUOCZALQNAYJETHRKOOUOCGLCWAEGMYUFXDRVOYYRYOBVVIWNNHEFIKKFHRNHLIZEMPSAFNYCYQFTRHDJOKRHDTIFGIZVSYGEYCNXXUAPEEVIDSDIXPNOTCRA +Case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ase #18: RWAWOLLMTVSBRWAWOLLMTVSBRSDEBUUZJSKBDAFGUWTNDVDAVYKSTQQDIVSZGTBREELHDOTISHHNPIZMEEHKGGMWDOFUYZVNYFFMBMTLHRNYMIMAVPEEFQGZCMDBFFKBDUDNBDHRYIZXNIBHOMLHLXBDYUFPWJLWRDUZIJFFVPEFJSYVXWLQTFQOHRDANXHWZDZZPTBLXUNKZUXYAIZMIRNMPAHKBCMMQDCXAEOBIOYNSNRXHNPUKPEOERMGTYCYYSHHBQVOTATHXDBOOBUWSHYYFBTNCEZQRLVSXDUMMJXSYWRPMZJUAHIKYLEYLTQQDXTNOVANQSCTYGFNXUNPTJQQUMUQVQMERWBVYYHPNXXTDZIOQUPGXYQGEZQTHGFNRDVDWLLYEBJKAZGSTESQFOMRAFIFCTVHGRPFNMDIHJSPFBSZNMBOLAFVSYWBVCVFCNTWPRJNUQVHZHEHULTEATYSCTXQDLWXWEHZFOCMBYGYXXMHVTIZOQZFGZQFVKSZGCUUDVIQOUGNWZNGPTEKYJIOUMFNHHROIQFEAVXYHOMBUDKEUAHDNLHKCYYWOQFWOREIVEEGQOYZPYXPOMMRIEPTUGOFCMBHWMREFCUCFEYBIYCPBUKPUEFFIWMFSXQLAYGKOZVQQKNKKJASXHCXIZJXJBPGAXYTILVPFRZISBILHHHJQUDAPWMPUMBUXYPZYYSZTFPXMDNUPMIVSALVKXURJYMEJZORYJSGZZTDOLHAXBFRJXMAGBRZVABKQKTUAYIUZDJKBYHPGKWRRWEGXGYZDYLURMMWUPCDFFEZXHTIBPCHNYSWGIPIPXXOXIZFUEOIIZRQEKNSIKLTMEFQBYFBEWTELRSODSRHLLMWTMAOKNAGQVUDTCWISDLQOGFVLFAGNOZVUUNVZBUPCWNUGBGFDRASPBACHGYCRERXELSXCJNXMWSPTQOMZQGUTVZIKKPOTLTXZGDCLBHEPTADYOFPQAGRCYELWXXGZJLJLENNDKCWPQSHPKRZEUTVQOHNUKZTAQXHOTLYHVTVFOHWBWCGNHXGOBKAPQWKLVZNCOEPOWMS +Case #19: IJCBCNRTULKZMFZVSDEWVNGOGGXKFSREYIJCBCNRTULKZMFZVSDEWVNGOGGXKFSREYIHXEJLVPSKBVEATOQKLJYXYPKMNALTHKXVBVOZLTUIUXXYTXZEKHUDSPWDUCZJNEYXDHPSSMTKCHDVSRUFTXZGZSWYXKAWQJYNGVQNTKOYEDTANAZRDYXDFYAOSVPHDLMJYEXFDFIGXSSSJJDEQEDFMPLHPGGCUDSESBTKXTHNLFMYFCIFBBSMCHNBNMIOYNBMCSRMYINQPRXIWQVQYIWVWDFIWBMUXIFTSUGYHBBZNHNMJWLNJGTDURHFJSGGWBKEYCKLGKGPTCDZBHDZETXNODPEBMDUYJZXWTDULDKRKKCXCUCQRZINNCSJOYZHEUZMMWXOVHVWWOJWZHJYCOORGVHNCXNBDHYFKOQZUFNSMGNCCBCYDNWBKOCWLHTSKKQRYOCKKDVJSAOYOMHYOXHEAUNKRRSGKXQTIGQKCMQHIMQRFWJAPKMIBNRTEUVLQSAEJBSTEYCDESHUKIOZBETHEPMOYRKDLWGSSMTSNFHJCEGNLZEBBRKIEMPCF +Case #20: Impossible +Case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ase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ase #23: UNTFIWWQFOFTCMODUNTFIWWQFOFTCMODUZMPUWYAKKUVRUSYDYAKHLFCVERELNPXPFOVPYQKYRWYYCOGWZVZMAWDXLYJDUEGNNWYODYNOWNPPAUNFFIGJRETIJTIBXGEAMHDKJETVCPEZOIRAMZGPOISAKIAVQKZJFZGPOFQTWLAFGEXXFQOFNCYLLQSIOBYVDQUQJIEWISUKFMJJHDPMHAWYEQSIYKJGBNMZEZGXXFJVIIJENKHXQNRBWEZNMMUTDVUPDEZUVFMJPOIFOCGKQHEJYDGIDPAGOSHOQNJSDZNLPIUFZXWPHWPUEMOZFAFZPPOBZLHXPOCTKCXCDQYNZJGQTNFEYLVUTMOZBMOPNZJYFEPYWYWNJXBLAEZERUDMDPVZSCZAKKHOWRHDJVYSLIYHQWFWOKZPBSRWRFCBURUSWJVGXQNEHSMVUSXVGPFEIVYHPVHWYZYSYKZWITMYPUMVROTWCGQTTCNDHYSMOAKZSLOZHAMQDPYQQCZUXTKURKG +Case #24: YFYFYWXTBNDPQECOWFMXDNDCDUGGTSIWGENGNKBOLUTEPTPGQPEMIQHBWKYJMXEQBJWCOTXOBAXBNAYRKJFVYWLEDDKODRKJXPFNNXFGBREWLPYLKAUPSDEOBTPMUEKXUMXXSJXNBWJOTMLHXYMFNTJNBBFBBAQXCCUYEEXYWANFFZPLYBGQSEWFKFXHDTUBTDVKXUFDXYTDHWGPZVJRWIODMNWQVMYOWTASZQIZWZCOVBGPJEWEPFUSLVGDLOUGAIBCNNQLKNSPXCQNSKMCTHMESTYOZRAIGKLYYISSCWLQLALSUPRTUXDKMZMICLHZABKQRBKXIXGRBVHMIVYJCUHXQDFKGSBRAZKITEBROHZEHWHCRYPHNNTCCRAPZVPNCYAQAVNQZDDFVJWZSNDNNLLOYVMUAEZOWOFZARYJAUEPDSK +Case #25: Impossible +Case #26: Impossible +Case #27: ITSHITSHIGHNOON +Case #28: Impossible +Case #29: RMIRMIRZYUITKDDAKFWRUVXBZQDJNPYNCVCHDWMBOTLBLHRUYIICZBLQGMFEILKDRESVDKUYENDIOZKKHRDUUATQHITQZYQMAYWOQDJFOMVWIVJASVOIBSGAQNIDJARHGPKIVWQRJDPLNZFLNQFHAVQEFGUNZHNT +Case #30: AJGGXIAJGGXIACGNWFXZOIZVYLWLOXUQLOBNRSEMEFHTZGQAAQAOYNERPCNHXJHIDRVVHLOCESRWNJSKUKAIDLSFKDRVPWJDSRYLBEWSESJWHTRMANMJSXSDCUQJBBUEYTVMIVUMUCSAMUMYKSCTNQSCACLIQOOWRHVXHPBIZRGGGQWGWIDYEYEGMRJWAQKHLRCAPKOYXVOSIBSDWMKCMWILRVFTVFHZZUTUYKTRPHNAOEZBGFXPFCNQXOTCOKTYSYSEUVEHHKLGZPJSKLFJNTUHDUPAZASAMSEIOPHCADFMSGNTYFSFXZJBPEUINONRUVSPQFRRKHRIQADIXP +Case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ase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ase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ase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ase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ase #36: Impossible +Case #37: YKXUSVVBSVFLLYKXUSVVBSVFLLYCXBTEABUNUDLJWRDALBWPJAZLGHZWSCVVPTFFLGBSGFXGDKVALJFRPFQVCEQZY +Case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ase #39: SVIONWZFJGQQEVFNHPPGGSVIONWZFJGQQEVFNHPPGGSOZLIAALIBATPBGBBJMIYIIJJBFUVVYTXFGENTEACKOPEUCBGWDUEZKFMMUFVQISBVYEMNPZQVNNKTHXSIRTJZDAKFQFZYCARSILTGVWSFBAJVIKMIWDMEKDWELVOHOPJXCFWGCOMBMSGOCSQHISPIPILWCWHUYTCMCYABMYLGRNOXHWOAHSSRLSCNXRFCCBTUOWQLFCIBOBPOMTZQFDTNJYTOAYYPZAXJIVKUYVALDJPEGZMQBQFJYELFIFKXVQFONHANZFHVJICBKRUTUVQRPKZHAQHZJELJVSQUBYQQWEYKIZLXKMEMEPJTONGCIBXQQPWGHICHNTGPDZYHGUKUYGEIHWHMFBKUOEPNUXTAAAWEPBGLZXIEKHJNHVCCHRLRTZTSJVOAPQKJUBJITDEERVOXMDWTANJBSTKJWLQFQNFEYJCULNHNCKAVAQTRJZTGLZPTAKDOQLZIAOIEUSNCNWAIMYXBTHBMATQLSDQLDMXRSBIAQGGVZDORYYAJBXGWRLYJGEINQJHGJYOJVPJMYQJRQMNLWPREWBJTNNXPJDVMBLXRPSCFIKIZWANIAAAOPERNHJIYQAZNASWPIARIHIKLKGCOKVBHYTETPAMMCYPZFPNITREXLZRIXSJQHYZKIISFXTOHRWGMSAKPOTQUJLTURYDYATUKPXWZDPWAVRTMOGMVVJGBVNFACZZIGAAFXPCEGCAGGHKNLWRFOFFAGZBUARCCHDNWHBRXSXOXYEDVOKRGSTXYXADPVQVSOUTYJHBKEWHJBKWKIYIRHYVYEZPXVEJEICMGMVMKYMVPPQPGDKMZCHOQOSTWTKSFCRIQCRPLRFIALLLNCEXSYKSJJGDDRNQLTUPCFYQQIXJHPBAJYMSVKLVPYLPJXHPFYYZNDVNVLOVUHKZZOLWCXADIVTTPBFVNKNMCZSALHFXQBXKVBLXWHGQQWYLURVXZLIOMTLYCTMSTPWDCGJYBFETUWQZJIBQYCYQQGTPQUFUWADFKTEDYJIHIDTNNYAUQSVEKOYDTVEHNQDLWNOVFDEYPRWXSZULAVDMMHENPMQCHPLCCVEVWFRFJBMNIHMBZODRHUCPGWSODTJPQYYPCEIHIYAHAYJIFGEAAFFIODHGUOPXMZRKOKNHKQOGXUNBGAMTAINADDDFFHOVEQQHDJOHWBMUUGMCATZTZZKTFEIHVMEYOGERUZLZCVERTKSDPCWHMUTJMSBTRFUZKGKRQKFXZHNMFKYJXYUIJDZIUUVMOWLWQFSHATNOZOEKBOQUWTFRYMITZKJKHPVNESONMLXKEOKZMAUQICOGEEQIITVKBJAEEYSIAEHTORIUSDYSFYATDZGQHMFZZOKKURPNLFSCAAHGRNESEAHLVZYRTSGXLYOIUIBDSJ +Case #40: Impossible +Case #41: JAKOIYGJAKOIYGJRWKFDWUXGMBMJHRLZBZMNMGTTAWNCGSFVYXGWZN +Case #42: QTYZXERPGAELXLXDSOLEDLTDEKZKEXOIPLEENCFKZZMMAOSJPGGOANTQTYZXERPGAELXLXDSOLEDLTDEKZKEXOIPLEENCFKZZMMAOSJPGGOANTQNHMXWJRIYFAZNYKVJJBITVAIRSXDNIXHGJFOKIQEBAGXNNNCHQDIUIOCZMWMHUQWMPOOXARGWWEIFUYJUVXDMYLPTELOJWPBFTCBRMWZIVKRWRUUYFQYNAIZDUCEBIEKXPBQOTMDCLCEWSUBTEIUQCQJYUZUEXEGI +Case #43: XXXYYXX +Case #44: IGARGGCALBSTVXTQJKCVWHZRVRVWHRNEOMDEDMRCQOJNAIGARGGCALBSTVXTQJKCVWHZRVRVWHRNEOMDEDMRCQOJNAIBBDXOJHQSBALHDDCEPMEWBLKZYVLNWEDMQQOSRTIVZQJJACJOPPBVWITFCGOXKWUXEQUYDRNFNKKXOAQOKTGQFBJYWYOUOCPHAXZKUSEKIUSHDLXKAPOHZHPDUQLCDMQVMYNNSPRTDHKGLLSRFMDIDIULEEJANUPQKLZSYAQHOOUYBUBGCDRIDCOYUCFAIPMLBMXVQPPJITXNQXMOKKLVLZDFBBKMPBPWIHQFOYAMHRXLUTUKLUAJMNFTMPTAESUSQZKUDSNSWXXEVGKGPYWSUZEPXWNGFRTAVLMRUICOHDDBQKWPOILWRMYGWYSZNALIRCMGJRHVEIHIZJRUSRORQSXPGDVNPLYFTODGGHGUHBEZNVUQHZKCGLEUCBCQDPJSUQOIAEVULGWEKTBQCRCTHDOETWACDEAWBNIMRIXQHARV +Case #45: PTDVEXEAGGZTXBIZMZNPTDVEXEAGGZTXBIZMZNPKSYYWAEVNSSJYGLBNRPWGPVEPVXGANVAGHSLOJGYJYTCJQZKQGQYSKUPZMPTWWYEMLNWKVSGQBRUEJVCQGLJWPIIRGBYMZJAJQXAWBURSIRDKJYJGIMNRNXXUULQOFECWJFKUBYTOVLMSLKABHGOAFVWOKOCMFBEIMWGXSKRHJKYGWRUANFDIWCWPTKOERYLFHFWWYPHXNLIXZJDQDINIZTNKWNGEIILXRFLQEZGOXGMEBLDMXIJORUPLBYDGQNXOAGIOYESESIAKEVLDTQHPBRKNAMKVJORDFXHOLKPZJOVBMZSOSJBCNGMITNDCYNJKFDINZLIWKNIPOLCXARIZBQRYITPDNEIZUJTULCHRRMJTTHVWGHNBYBSBNUZVWAXFDAYTOPVTXOXAEQDCKGMSECRZWHNEMBQILCFDRCLCDCKVZYLVSFXBQACFHJVVSTHSQUFZHFFANMYRXRIOAFVVGHOQCUWFRMRKORJFPORYJNFUAPKVSZJUVVZAKULKKMYQDMFKYNLDHENHHMTMGZKYZNZLYFYBDDJAFKZZDSEUATSRYMSXOKKNVJWBSEWRKZABVVQSHEQAANOKEEDAEHJZCXQGDSGXSPVVKSZCGBQMYGBBUKOUJMKWNLNPVHQWRTJEKFXMHLJBKGBJPQNURJKBAFZUVLUSXZCCWYICSLAGNZFMAGOQRLFIXDFSBPFLHTLCXZGLWJQIRNDJYGTGLOCTYMGXCTOIZVLAFUMQNRGGGBOZMXSSYTSFLELHEIPCYGYMBIRPSFYTEZZMRXBWKPBVLNJSPZNWDAGFVJLDCTYKVUGDAMUXEWTHRUJMVOFFXJTXVUDBATPSPVPBPOBNNPVOKSPCCWFJURSSNOBPCJCTYXDANRIRNOQDNNKJQWVTAIJLBDFACKNLUFVXKNMTHLGDHGENTRMEYBRWGSTRJKGJXHXHTTZVIZFOGPZUZIHQHIPRGLZXUPPLZAQNCLBQQVKWXIIYMMKJOFKPCEHRADHEGRJJUDZIPZURVFPNJCZOKKTOXWTXGKZAUTEEDLUPMWRGXXZKGQVRHPRCLILXUBJTQVNTQRQNGDIZDOARWVNURBMUJONKAWLNOPBOTCTWXNUJOIAZBKLPNMEMFVOJVNOKNKPMXKRJDXDSOPZICTGGAISSROQHKSQJRGPEBPFZYWJJGXBCBFVNPBBBDMAXOHPNFJOCEXIGVGZHHHBKVSIESVPRWWJRVDTMXVVRFYOESAGAGNCIVQOZQOSIGPTUYOIAFSSOXFNJCPHPWBJURKNKJNMIAXYXSOOZDZBVXMQPRCODPBFMPZZFVEUPEDLUUZHJSOPDILCPMAHVXVGXNDCUTLDGTEHTQFGJPQNFTWBUTFLDHNKNTYKIRWVETDAHIHCNKOZAERPZUCJSBJQWVQRTZNADUZRONPUMRSDOUZOSPADHTSQXDYCJIFLRQAFIORBGHJYLTADDIALSCCYENJYHPAHORVKLCJWZBAZGGMXUHRQYQDQZXVZADKKCHQMVSZPYPMHJHPMOGFRCWKXYQODCTBKUCVIUTZKEUOSAJBOSFHLYHXGWXWMIXHXXGWHIKQIYPDQDNMOBYJIVKHDEMWCZOBWCZZJRXKWXUIASIQXXNTUKPOJMKFBQQLITJLNNWJOGQXBZIGVUSXGNGEOORRYISIVCIOTEORMQRJUCLWEQYTZPEXKOCYEFHLHBZYTOZMPOMXJVEUUHFMFBWUIAVRBNENULUXJFQHBDRSCOCFGGYOXNRVLOXIZHPELPKAXHJAKKHBWNDZFCFWQQOTNPOQDMXHRUXXZGHPRCCYZIBXHQNFUBJKYGSIADNIISIBPTAANYAOUXNLMQMXJASABTTOPLKQVXLXLWDBWXLYUKSZYYZHUWYASMZJEGOMWRMOBDTQYDTUFVTBOEJEKGSIPDOGHPDERDFDIRJMACMPI +Case #46: RSCTDFFALWLHQWDKICPFMECQCSSXBVBCHKXMFAUGACXZYYSYDFDQQXIJCUTHDJMQLMYFRSCTDFFALWLHQWDKICPFMECQCSSXBVBCHKXMFAUGACXZYYSYDFDQQXIJCUTHDJMQLMYFRAIUAUCFBZWEXWNMEPZBUUWLEBWBNEPAGQBQWPKAMKNAQBUJYUCLULKKISLGRLOQDIOSAJROXZTLIGWDJOSMOLEWSFRMLORXKAYRKGREAIMYRNLVKGRTEFQUCVWQPJMDWFIXJFPPZJZKLHORYYKPWVYUVROZEYBMLGDJSERDOQODFZREIXCFNHUUMJXECARABHBSPTVXQLVORHKOMQIKTSEXKSSQBRVIQTSEPBILHWXENCMPDHEXAWLDIYKWFNTMGXHGEXIRGBDKEOTPKQCXQSNWSUVPEJZNUJNICJNSAITBULZKLWAPNVFQBVWFFUXSGZPTEJEMLKIQIIVOFSMFVZBYQVTHUCYDXSYSAOXYQJJHXVNHYURCPSPHAXFPPLQLILCARJQWTKRGJAVNVHMAZUWJMZBAMQBQJOAUYMIUSYQHECLDOSREPQWMKYMSDWSKJBHXGPVQMLLUNWLVQTJIOWVQVDBCUBDVARNAKZHJAQHKMEIOIWWRJUFPIFKIQJAVWBPHUODDCXEOTUXOIKFUASIGAJJCXDTPBXWFXOZFFIDTABEJZGLUECVSGRDFBXVPJIAAHSZVGHVDJYROAEVWFGJHBFTQHBIIRFOJCQANQWPHMRGZCLKPFBYQDVMGUSQJXATUOQOZSPTNVWTDACGYMJGDZAPIKVWECILQAOZOFTPSHNFPIBDYLEFHEYIHSQWQFTZBAITIFTKGWFRPVIQSSVZIJEMKSPJWBHOQXASKFJKCSDTJEECPZVFDVKCLRCLENYMRGHZLOHTFMPTLGIWCKEDUUVMSHOCWLCMZCRNBTTNIHHJTMKDKLKTZZUWGRUAEYNZNKCCJZTNFDIHHPKFWJBMYDNTUEATGNAFAYHSGDLMIJMEJOTPYUYEZZJDFOMUDHSRZVURQTOXGRZAYZEMJSUMSKUIBNJGGZVWRJLHLSLEYAODZRCIIXJQXYVURHHLPVHLVIHJYJSUOCYQILXWGRDWEMQVSKYYTOGOAMHKCAJUQQBDINFXLERVXGDZZXIQJLWITCGJZJWMFHZEIYBZUDDBAUEICGVGVRBCSKLAZVTZWPTWCASJXUBOTSCQLHFUKZQGWQURQWQMAGBPLZNWNZOKMIKZTOBKELGXJMFCZTATDPYFNESADKDNOFHCFMXOPOTQSCUYBJVDSZLVQENQOFMOPHOOKNFJBEPTHNNSCESXFIRXSTNJRFXUMLHZHBPSPFLZFNHJRFEIPNNBTEGDYOVGJQZYAQUGHFMDCQWBSZPKMIYGTMZXRYFYNAKNVCDNMELZLCMUNHMZDAPAYYPALJRCQUFXJGKSSPSCKBSQSGDLTZRFUHGCYJJCGYZFLTOKLUZBUTFATBUJNULYJCZSMWCLBCMVCZTVKGXLWAJQSFDFWWVXJTGXOHCIXCVMCZFDFSXSBLQUVEGVXPWYILIFKUJUYUAFOYHAVOBLUOJJSNHQFLBXABKFZZMVMBWRUOVGEHMHUXKHZRALRZVEJKAOPWUBZXKFSIQGQZEOSXXIGAFHWVEKDXQPUVTYLFFTJIBOPERPKFHWHXATYJCGXPFTVXXJQIWHPJQXIMHGRJRQCISZLPTYJYEUWKQEMDPKIKFJZDIKTUNWRCRTIVBUWRVKJKJFGJOYZESYHYSODMHKWTOEDTDYLLJQVPDRLCFRBHMXTDGONWQXEPOTYNZSOUWPZJUKXLLRDMVQFXTOAMGTZRNTKQYJGOAYQDYUTXGXMNLXEXKVKPCDMNTFDGCCMSVERLQYLDNSAWQCLMZDUUORUIBDWBBFOEJBUZZQRACXRHEOQFYUWLYBDYOCECSWYVEJIBTEHEUIOCFJFUWVDCVFEXMRSPZXEMKJPVKDKAICVIYRWEDXIGUHCGUIXRLESPPZIGANAFOGEHBBBIKMQIZQHPVAYOZSEDHFXSIUAALQMLYXXBKVEUAZLDT +Case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ase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ase #49: BQTQIHWXSEZYWYGYKCBQTQIHWXSEZYWYGYKCBMRGHAWXAHTNZEFGUDHQETTEPXRIFBJOOCGHVPXWFOFYOAKGVSQOSGGBLZGFPSCAMJKZKKTQNZHSPNFCEBHLFHPRFDYYABBEKJOOOVSWXNPSCOAGKAVNNKGPBVVYFTTXSBDBNAQFWRPCMFQSUZCOBTHWACEFKYVEJUIQSENEKPGPOLIJWEDNGDQJUNGOEUBGWDHWURRTKSDTMCYEKLWSMUHZEMYVLYKOLHRCDZUDQHBEYIVIFUWHBAQRZQMRJKYIKKWUZKXJFOUBODTSOXYGLUYENMSIVTLTOOTMRTGPQYNI +Case #50: Impossible +Case #51: JORDDZHPLWIFNNICGITXIQENVUEZROTOOPDAQVVJORDDZHPLWIFNNICGITXIQENVUEZROTOOPDAQVVJVJRXKPNXVXSKYQPNGAXUPOMJVISHDJTNVXDAIESOXUFGQBQWXVQYOEHECHFQFBDHEXPAZQSSSHDCCUQUDEJSUUJQPVSHOKGXYHWOPITOAWFUSOVYSIITJWARJJSJXQWZZNTVPMXPCXWQLCCRYDQJBXCBLJETTYVAXTHTAZIKUUVHHJZPMNREUKFWUDDKIUVSRZSTHWWIBOWMSOAQUEFJCBOSMJUEHPIFGRVSELIUXCWLBCVQWCCJFMLGYSGPBUSZFVJWWBOOEMCNJIZWLWFMPIHJZCMAEKPTKDDVIAEDNRTBHRZHLFUPYQMCFYOQWLIKESQMIZQVKJQLRARHODMZARCCYCBGSRBOUODYLHGKDLBVRLLUWVYQTDEBQDCSUVWUSMGJOXCBSFFWJVNVUUHOPRSRPJMEZQSIDUAJOATTUGUPEENGIWVSCRNVSGSXXVFYUXQLVNNSPIOGAFEVCWNPWCZTOMGVAHDLYTFKBNWEJVHJOGYLVILVKOMJFDLDDIKCBRYDQGUCBHBNMAVVLWHQUMWOADGYHSQXZAJQLU +Case #52: SKIFUGDUJHXIXMUXBZBSKIFUGDUJHXIXMUXBZBSNDYULSQWIWYCIVZEKJKKCBHRSSQCOWARYNDBTMKEEFQVHXCGOWCHIBLRPRJLFHCLNUQTMRGZACNYIZPTVFZWPBWLVIBPPNQVTPZJUJPLETFVFYJUHKVUVACPVAIJHWLJKVONYGMSECPVRECNQWSNDJGNLPRVVNMINRZDJLSOVTBEFKXURJWAMFIRLZIYMFGZOHAXZQMCMREWVJMKNPPTAIOOMVICGQSJZZRLBXRZTKGDPEWKGQRZSLLKUQBPVNTAFBSYJZMBGWPZIAWMYULIVTLTVWHVDXCODUXILXAVQAIGRDPXHOAIRMATCMVAIMHNJLEQTONAYGVPMDUFGTSUPFNUALVPUJNPDLSRXRIMAOLFIZQSKBMWLRTXLSCUDNWKGCTYVAPWMRXUVOCXFWRMLVLGJXBGVWDUWQIIACPXOXDECBBCFYDNVXGDTOYSGXOLITNRVKYLLQXGKZSEZJTEXDOEDLBPHROQIALQWUXCQFFIRAEUCOVDFULBCNIAMEPLODYMQONMVKMFKVEOUVFKAMYAMUXFCRLYNSFOWPLDWJVSVICYNMDHVRDHHOKTPPPEQGDJHHWSUCZXGITBPGBVYRCNAWVZSMENPXWBUSDLLYVFMWBBHZBNLVIWOYOOMPNLYRUJUEFAZHRQWCBAECHHKIXKTQBVNFBYCNTEIZJDZFLCYLRYCDDFTXUMVTZEAZVURBNLILKXMTVBVWKZHGBIGERSBXDCPVEBQJBTSWPMILCDSSIVUGNOMCQRPUZEVQAJJWSLEIDLXBSZHLUFMCRSFIKROFYBQVLXSMGXIHWHASMZTGKXDHLNUULCEQOILUUHEZRWOJXHZGIKUYJHJGBRQNPALZEELWZRNFLLPWUORBFPFVYZKIWLLWLQSIWNUERVYHZYHAUARYVJPIWTHCMUOEWYHKVCBSELWZBTLLZCSRABFAEKXKSTSRAVTPFIQFLIRTWJYRGITEERATGGWQEXZFDFPTENVUCIFEEMUVZMHCXYBGCFCZNNJKIUNBKDJBYBCKOPYBDKDLDNDEZXHFZKRFDPFXFPJNYVRKSNXTKJSPEXDKJWKRIEWAKYHDVZQRRFXWSRDKTJTTULTAIYGPIGUHWFIYGYSESRCKUPYVJGSNZHVYXKZLGPRHNKBWUHFSKKUCGYVBXACZPGOUMITSXLEJMROLLCQSGNTGQACWELMRQTKNAABEOLIKFOBWKQUJTUYZUVMTCGBYMVQZXYWXWLROHBAPJZENSZCFCVKLJBHOUJRWHQYVHBAGOJQYXJWYCFRDMVEOAPUDQNDZHXNVRJOFNCIRQHMLWGPBYRLRNPYWDERZTXGTQTDPTYYNHABQSUNLXDFHSONRBHDBXEZHVWOLFCFZEWEVRPUMLABMGNGELFFYWQEMVGLEMHZYOCDGBRGSXLSLDWVKNTWAPHGSCGWBVROOMXWNVITJN +Case #53: Impossible +Case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ase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ase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ase #57: QFYUDEKFPVPDGVBPPEZLNDKTIKSZIUARXNVXRRVTYJPKNJZYDXQFYUDEKFPVPDGVBPPEZLNDKTIKSZIUARXNVXRRVTYJPKNJZYDXQOIAULTFMXNCYKNEVAJXASTWENSLMAUXDBTRQQIGGVRIEVGPJHWUVSBZKSOMRYCIOWNCMBLAGXEVWOQDMZPSOFTLWSWQFHKZECWXKTGLPYCFFIATMSSYVGVJTPNRCRPNQZKNQVWUTAACVGNHYEZWBELROPQLKBHNZBOMOZWNZRLUDCPSYPTSVLWJMSMCNOWNICGATALHZFFAPYJLZRLFZBHHZORLBPHUQNYYGPJNOAEWATIYRBZZOOICTTWOAPVHKINAJGMRWEZQYREUTJXIJHIKHRNDWOAEIOYKZIBTRPFLWKXAUHZJKFOLWXCZWNDUWRTNMHTDAKWNIOWKZTAEEMEWPNMGJYZSRZYLZTNNHFKOMQIFZFTHLYSWCPONDLAWTZTUOFTTYGJFWAXSNFSGHUJKCNMIPEMZPJRZIETRQAWCXPGDAERSYYCHDFQZSNEWFXHKPMQNANWBXYZRBCPJZTFROGFTYLZQGZRHFGMLIJVHFMUVFLMNOCZOBGDIQAXTKRDROTKNTAFMELVMJJWJQDKNTPGAWLSZEFISGMZLBCUKSKSWGAUZLFGYLTHLMTNIJBJGXKBBPXRFURROSPDLTDPXCEBTEEZBSUYERIVMYFLCRCWDIOXSFONWZBABAFDASMVUOAFUFDCZFUPLQRGIXVAUBIQAAKJTYBSIUHKXKNREMOKFLKPFENQUBJTGCTHNHLYGXEBMUTWISKGHZJBGIBVXEUMPCNAJKQGLOKACKZTJVTFUHBGTDLZZJDMBGJLUUDKXLKZUFZTSLGWJGUYKNATVNJRSOPBXGQWKBTVSVUAZUIILTKMJXJNKBMKXSCCQLPVJWTPMKKRWVSJJQLMRPSYYBCJAGHORHSCOBPTUNBMXHPBPFNQFKUVYYPEXLLRXZPXVQAOJGZRKYHZWJRZENTYVCBQPXTETRFCTGMMFPSXSVLYWRVRSGMPLQWVKTILQQALAOVBPSBFWKQCIDROYSXPFUPILTEKBWWJMKUBNRIDKBLWLXLORCYTOHUVYASHYMXVMGLHUNFFLJLVHQVPVUKPMWJGHKNPMJLJGUBQPQQOYGSBDNFNIKLWYKOQKSMSIQXFWANHOEXUQXTMMXDHICNHBFZTJZCNKETJMWJLIUZULQVRTYIXHMVANZPYHJLALMVWPQWAUYFMXFVFSJWHQLQXVVOCTIGFGJFHBRDNTRLAUWCACYJQMCORMQITNGHMRITUYCFODVPZHTQJQGKYPXVNVWBBKPCINSBQHNVYVZJVIISXAXFHLTYBZLPIDCRLBOZDCNMCYRMRRFGQBKDJWHDSUYDHLKYPBZGLHVNSMUGYFUACCEOGQJSVOATPMXMQEOOZJLOBERGMCMWMTIYIGGWWYYC +Case #58: MROBJVCHSCFFSTARZXFZEUOCZIGWPUUGNPYLPHCATSKMROBJVCHSCFFSTARZXFZEUOCZIGWPUUGNPYLPHCATSKMHJAWHJICIQQTVXAAIZTFQQCUCDMGLVJGUGONMKEIYPYWQSJEOOYKUZSPIIOZJLACVTTJKGJRSYIDSBFVARXULKWGIBGIWWMQLGISBYEDUINTSHVGGUWFBOZAXIPBQNXBTWCOPQCABYTPAAJNHZGXNUHDFFCSNGANDPLJTEZNWSXYWIOHYKBICJXBFBWSWTNAESLPWBGAEFECXEXEXVZKCTDAGXJBVBPCUEVSSXCJPXNCGGQGUQVTROYFQKQQYUZHKGGGDQHLJFPWLAWYKJLKBWKGSRGQAQVIRTKEEDGRKOIASOUJYUQFFQUKIQGEKYZPPRBGYUDDVMCMLAIHPLLAYCXXAEMDGEDJTTASLHWJBCGOHPCUZAVLGEXRKMQPYIDDLAWJRBTGVDCVPWKUKKBQNNJHOKFVBETPPMGKKSAGUIYNNZYQXAAWWPENWZIXNJHCMTORTKDVWNFILEHXFYNNTMAS +Case #59: PERSONNENECHAPERSONNENECHAPPEAMONREGARD +Case #60: JOGYFHXJOGYFHXJDCNIVVKSTPSELMNTCYNHXDZRWOMYCJBXCJCUAITMZASXZUIBSWPSBPHDJFGJDXBKLXPIKPAZMLNNUELWERYDGOSBSILKMQUYPFKTZDVRIAAZQPZYBNWNWMTFNMIMHGGLENVDJNDOZZNSALZPPFNHERXFADPKTBSTUTSTRDSFULJYIBOHBMSAJTJQKMTBTKWCTKXAIWNMRZTAZYJPDVWDZAUUBAXAVNBFIHFLPBPVCCLRRFFNLSNIJEGZWNTDJCMKQHIRCIZAAQWNVXLHERMOUHJFQBUVKPGYJFTDNYGRWZGSYCVPRMCIKJWMOGSVTMWMEWIPEWVEKFTXQEAJUWHSVEXBRMXLILDXPFJIHUHGMZLKWAQSBMUSSVFSOKBYWOEDWOLFEDJXDUNKOXISNDXXQBTXHHQUUTGKMTOFIOMNILRSEWEMONHNHSHCOLYIYXMKHTPBNFNGTSUKBIHBCGUPXDOPWVPOIQWVAXXHURFCYJUTWHYEGEVYJEWSSUFSDAYZMXKQYNYSREZOCIKWVBCVKIGOCNGNQSRSDAYFJGVCDHOQHCWRZUXMHCFPSGCXZDLPHNRNGPWARDBWDHFSQQIAKLYJERZNPZVWYPPJZWQSNRZBPTAFAZJXVVEHXIVTZRGHROCYEBFINTKUELUWWRKVBBKQYYIRBCAMAYCSTRCQZJEPRRWGHAPEZAZETDAAZDGPYDPWEPTBOFDZIXZWHGCDOOHMUPKOCOKBQQDJZSYBTZWJZJYKRUVWCIRSWPQGJCLUZHZINJOSUWLLBPBTZQVRJRHAHFVUKYIMCAKQPCCPLCPGZLJJNOALOUUFLRKLOUYREAIFIRRJNVFGVJMXOPVLTBAZIUPGIFORFTAWQFGAVMXZLZZNONYDNOEZCABPWCNNRTVWLUGXLJCCCPMGQTCWXKGCTTDNWTWJVENRBCCCBGDOLBWNAJXHNBPUZSJLTNALOZVCDJUWVCSVYBSGODASANLFLRHSGZSZGZFVGMSNWUXJCSFBTVYBMKBEQILVRVGNVBZBDADMBPWOQIWPGFRMCVWRXNRFDUDODFFUTSDWQRLPWJWHBYTLMPPMZJBFITDSDFXBUCFRVLNLGYITMFQMRVDHPHTVYXVCITJNGRDBBPTYJIPOIKIOUVBCPWQOXOTVSGXABMSULIJIGFOFLHJETMWLXKBLRRUKJHDHGRMYJEKXRICYNSRIVFXJAAEGITLKCPBHSNSEZHLCLWQSHHIMCABGLVYOFCFNXQPBSBBYTKWSXCVLSPSBSEYEWNVOPDUSOWJCCVYCEPITZRGMCUOLUKDBBMWHJVQBEJAUGGTMDSZBNZFMPPPNZAURFORELOYYEHKUUHEJMNRPUMLMKERQEFKHSFZIBVFIQBIICWJDTTHLBDKYRHZGHWPXSWWYATIJWQAIISEEHMNIGZXVAUVASMERKASSXCGERWFGVICKASGTWNUHLHZBVJAJZBBVWBXNUHNUJDQNWIGWBMGQIIAGEXQDXQVGRNPINJFBFRPEDYJWQWEY +Case #61: YBUZAVPUSUUZLDAAQVBGZISEMABCQPIJTZCZAENGKMEGSBMROPCCOHEFEPPNQRNXRITGOPLPOEARIWMHLVZGWOKYBUZAVPUSUUZLDAAQVBGZISEMABCQPIJTZCZAENGKMEGSBMROPCCOHEFEPPNQRNXRITGOPLPOEARIWMHLVZGWOKYHVVACRSZQTDNWUWSZUTUCSJCBMVXUIVHLOTRGYILYCNSUSUDGOHXDJOOENSOEHUSAHTTPXIMLALOHVISSBJQURQOUGAPCOSYNYWUYRZOZFCMYGSCGANRDSZGIZFLZOEYPRKPEGSZKRWVTVJLHSMROSACMYTEJVRGMVCPFSUTGPZCZCXHBDQEEGQOSRCLXGQLWURQTBKQAWBUEBPMBRKXKGOOHHUSCSSMSMFDTYVLALKQGPHSTYGFXMJMUUFBKKCBEBBSQPVDFZECXLCRTMEKLHEDLADHQUEVIAQHOWNKRFZLTEPEIAIVMCYPAAEEMSBKBQMLSMNJQYDWEYRHQRCMRQWAPAKPFERBYGJDMMIHLIILOMTGYLYZPJZHXVZAKLVWRQPRITUKKXFBTJQTWWCGAQUPZJTNRBBTYPQMCXIHOCIXFRNOMWYNKSOONKYWSEOJYUJVGTAUFOQETCOGPNWXIDELFYRUSVHIBZDJYCCGTFDPLRUTISCKJGZIIVSVSFVKSOSDZYDWNGGXUQJZPDOXLIVFYCGIKDLDAZRIQWODWOJNRHOQUURPFFLPXKQUBEQJSSPEATORSSFJMKZYOAPBMCFKDNSKPMVQVYKIVCSZRIZIBFRVVHVGOYIZOVLACTTQQKPVNLRZOKXNTAQZMCUYDFQBOMMJKCJAQICKMOYBLEGRBEJRFHQEUYSXPSFIUGIQCVVKVKXFFRFXBQCZQCONWKFMZKOGTMNIPUVFPXCFRXKHMKOBWRFEDYUIACJGCVYLHEEOZZCCCORCNROOCAXAOQDIKLELKBZSRRDCGOGKTZTFOTVSSGZFETAUPBYWHXFLWVMOSWGNHINFVRAPKAMABGEWYKEDCIEXHWZPBHVPXPTFRECFVUMGPZEAHFMZHQREIHCPTLVIENKBNKAMRURGPHQQOAYTDVHRXSVBJGAVBGZWZOHEHWEPOZYPGJSDBWQOANEZIALSCAOXKLQBNIEMSJZBCODKTXJONFYJDFTRQWOVPCNMBLNWEIIUCXRCQAUODYDPWDBKDYGJYOJLUVWHXJQQUBAFOBYEKLWFBYDPDSKJNVECOBGPPITRPFDTXSWOJINOSOTSHMVGHZRPEZNKKWMYTXCYHLVFWKQOZFHEYNPTPZMUTXODZSZRYPIVIIWOJOOSWRTHYHWFNESMDDJUPOBUXNRYGLPNBHHBOPEVROWXSXFJCTFKIXCDHTPECNWBQPOZZWVOMFHGXLWBCHOWGMJIAEWONQCCZWKVOWPMNIFZKEXAUNBJGENEMUORKUXXTHVUKWJYWTYQHVJDBO +Case #62: Impossible +Case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ase #64: WBJGYEFIHAXPLAOTJJYDMCXTCCJCAULRIAAUCSZHTTVKMDJHVIWBJGYEFIHAXPLAOTJJYDMCXTCCJCAULRIAAUCSZHTTVKMDJHVIWTCXGMASZJPOWOYKVKEQULNSYSKZFBDHNIHFUOVDYEAUGOQIDYEEJVZYVKFSSSIVRAEMNIKQTDSFJOEVOMEKVTLFTPUHIMVCLCFWMPYLNTPMJRTIZISMCMLWVJKTLERSNAOABTJRZEXHEIUXZBHFMPTSOXDGRZCABDMMKVFTUYWTGTDHFBVGXPLFUHNKGYCWSKVKDXFYVDMRLLXJJPIILHRGABBNUYKEHDMHOTSZPFTWIJDHQDJJGIKZRIUBKXJCSMLRBEQGBHKXNGLUZNRRUYCDQKYZYCSRJZKOKHTVWLZBTXVUDUWUZYUTZQZFVOBEZIUQRMKDQIGTKMQIGQERJZFONBUGJYKGWEUQNCINQHFZTQFVARPKDZLFCHNORTCLOHQWUULMIHDLUIUKMNOZWFIWXUOTFWSESHYSHDYPLJRPQTWMYYUBQZZODJMIYRWCWCXTYSGGFBTLSGYRWORCOCBODGEJNJAZFBZPTGDAJGUAAQGNCPTAEES +Case #65: Impossible +Case #66: STEUJATLSTEUJATLSPKTJXPQQIRMZZEFPBLNFWOXBGNSLWIBYJYABXYZSBJFLKCKXNJRBFGGHARZNPJGJNDCTXMDLOHFERDYGJNCABHUICEDNCUJZREZUBUBFLECHOVPSAEZNMLQBONIWHBALULLRFZAPTLETATUYMRAQMNFVWSSGOFITMMWDJDUJHFTPQBOGHBLUSPYOCBHWFVTPVKILVEGBVQVKKFJIEFSVRCAAHKRCBFKTSJTIMASODQUHOHHGRZTNJDAAYQEOHIRZIPJCSIJCZIMEVUFACPUOCFRGPDFBSYJEPESMYYJUIDMSWRWPCJLXHHCKGFOTXUZNHWCVPJBFTZQABFNNSXHWVNCSUJCTXVIKUCKGHHMFSTDOFCTGUPMFSHFWETRLBGNUFRPWGFJMJYVVXLTEAJLX +Case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ase #68: TSBMSCASIWJKRPOOVXMGPQJGPQGFHOSAEBGGBYYHJXJVMEQDRXIQIUDKPRCKRLNNGMHTSBMSCASIWJKRPOOVXMGPQJGPQGFHOSAEBGGBYYHJXJVMEQDRXIQIUDKPRCKRLNNGMHTTKFTVKXUFJYNFAJLSEWSMNHISSDUZXNWUTOIUZMBGNIGHJQHAQRKUXFRGOEMNSQELZPPPBPUEISKJCJBDXEIGMVAOUEUVTHJSKOWKARJAIMHJNJPDCZHUWMQLUJATOHRDBNJBNEJKKLJSMOQDOGHIGBBJNFYHVFXUXYUPAHPZKJXNDFZKIPEPTRMRRFYBUPYSTCFORFTKIJTQMQOMTNZJNIOYJBNGNSDOFRWQALNVBWBTBTBOUSACGFPFQXKDGEWLIDKRVWVAJBGABPZFMUBTCDVSMBHVCBBTEKDIMYVINJGVBWTUETXGXDDSXIBUWDPJGKXTBWDJJAVJLVZKNLBZTCQEKWUTKEDIMPBMYDUBVXRJECSRYZZVEEGMZSYZHDPUPRLMBWSIMKQAJCLXEJFMLIMPOJQYMWHMMHPZUMMAKVWYQEUROMCGLIOCIYYYHWELGLQZWVTWDAYNQIJCQJTTYQIOHWZLJUDZUJJJDYNECIINNFDVBPGWJGYVIPFRKPILTOSZWPXSMDAXRCJYDGVPEWRLZEYFWQYQCWPVZCQJPUYWOAZGNFBGGJOAZTMWNNIMCUDQPXIOFMFTACICPSQSVFGYKAZUTVMKUZZIIUNHDMWWHYQGWUIDIXCQVISGQHFFEKTLDWUFDPHXFNNVLYOKNGCZNBANKKXJFQRXFZIZTJFCUHHGFABBOGRHJUQQXDADVLUHAYTCGRSXSQWKXZZSTUPRGUYBPUIYJZSJGAVMCVEVRASLEOSNWWXRNRLQAWVIFBZTJGLWMXQRJLHIXDZOR +Case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ase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ase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ase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ase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ase #74: DZRXSCFFGPUFCCCLZVTZYRNHOZRJBIGLYHVUJSWOAGMVBCIEOWFYKVWGBJCEPMDZRXSCFFGPUFCCCLZVTZYRNHOZRJBIGLYHVUJSWOAGMVBCIEOWFYKVWGBJCEPMDYQAWTZLIDVBEJMSMWNTBCXEMCCXOZARULCZMAYUYZUYNRITYXGSEUXENDELNNGCZULFNJFXEIBMVUNBPYHMTBIJCBQEZYCWRDPYMXYCRENFJYZGRTUJWAGCBQUTHALIYNVFFIYIVTTFKZSJGVESKCEPMEDCKWEIIKSAUGBCWLSCMMISCADYUHDMPBBJJUYGAREZWWCYPERDKKTVACGXVOPQABALFWTMWOKMATQECEUMRSSBEDSAOBJOWCWXQHEYIJQXFOJERVGUMGJRCNVRDBXYKOTPTKJYDOEWLUNTIECZ +Case #75: NWZEHHUMTZZVGCATJIDNWZEHHUMTZZVGCATJIDNDUVSMFJKMXOQVCKEGRWRLNNRCBDFJELFZVLNMRYLASJAMECWXBOBSOTXUTMRBSCPAGDEFAEYZNVTDTJZEFOUJEXYFFNSUOMKFTTDKQQCELPPZDZHCTVTILWOTXDOGEQUEBRRYOXUTOLNRFPPIIZHSWZWEBYWJZPXNYTIOLVVHIDVTOAGMONSKUXSPHCCDWPAIWCBPHZEMMLGQMDNWWFRLUGRECQFGLRIJEROPVTQPDQYZWXOFZTGKUGROXYXHLKXPBMCNHQYXHMDJEQGJJOENGLZFMCSGLANUTRLMNDVYMPLHOWCICWHXKYXNVMCGZIFMAJAUZGUEZUYMBUBIETUXEZBEJBPIVFCDDIAIBMUGMXMBQBXVQVRKCGWZNKRZUJLDCZPRRSNEBIXKQUETKGCVJQAUDKQYZXUKJASGRRKDJMFWLQHINVHRLYHEHNULIWEJVZSYVHDLXBAOBPLPUFUUVOKWVZPHOLFYHRTUBRTSTNGCRMHGCYDFWLSJCQHNQOSLZGBXAUQYRVJVESUBOACDAWZD +Case #76: COJPTOTVJZSUGRNHAMSGKALOAQJSRWEJTIQYZDLITKHKNDYHLSUXHAZTQLKUVLRFYIIUWVRDESJMCOJPTOTVJZSUGRNHAMSGKALOAQJSRWEJTIQYZDLITKHKNDYHLSUXHAZTQLKUVLRFYIIUWVRDESJMCYVGNGTODYCJVELVGHZRTFJREQYVRWKDOMYSORUBFNHGCGFHBYAJWJYLKEICQGAEQPYEHMXFHHBZLGGXPOAHL +Case #77: JGYXLSAJGYXLSAJKGXTUWBRQQRDUITUMMBALTQMPEDTSTOIRUIILZOUJYXYSGFYIDVGXKEPOKHVPNOXDIZJTYHTBKKWPEQQIYUAVCZEWGMJWJNIJWIWRQPLUDQAFICJETXYZARDPEOGDUAEWWOTFHVKOVTHVNYFGOOJHDVUSSZMBUOFCVREQMCQNUAFAOGONWOJLXJNKANTWAEPJNYFNHBFOLRIDCNMEXRXVZMYRRIOCJWOJUQXKXHLPCPDIBMDRHIAFYYORTOCTIPADQRGZTWJVBSYJLINOXZCMEGPRERFGJRLOKVLFAXTGPLIXNKMCXQYAUHCJLXXBGXUCGENZCGHOMIQPRBDVLBACSCCCUQMBBRDSIEJDRMNWUMEPTMGOYWOTTSIOCCJMBCOALFHCJPBYIHPVXKLMOTYNULYHXRVHWELCLJAAFCIBCJXCWITZJKQCSDRILJKVSIOTCMAILQAXUMKFJPODOHPLKZJCDNCWGAUHVGTTHWPEKDRPRAHYVNNTOBRDCFCZZFVBMKZJIYVJHOXOCZQLAETPELMRJUGSMOZJNDHAKQYRAAEORDPYSJUVNGWFZXWJQOIFVXRVLFVKASFGFQWBIGLTNOOZXKYZVMWOCRTTRSOUHCJXUHCSHRXIIGTHOMNHJXILABCGNEFSPHHOLWLDUBEPIMNKUGJQTUMWQGNZECQQGSOXXCSWGQHUYHWPDEJIEEEZWGABFYDPXDJUCKZMCTFHLFUGGAMRVCIJCWBEKOISBEKXJDKNZJRAGHFFPQLHREIGNIHMCPJCBHUBNEQZTAQRRIITBESUOXDBNUWCSRBUQCQDPSRRUQIMDXVKSKWEVZFAWGMHUTOPJELCVWHBYTAEXHWCCIXYDJGVEYYZJHKKTKQNKJQHXTHMVFVHARDOWDEHQSOPEQWQDWTMHQGYAEQWQMNPWAGBTGHWGABAVYFIIFRFYOBZWAECJSQJIRSGOFTHGIDMHEXIMENSWUXSCDIXSZLWOBOTYHXTFIHFBVXZVDSQLPPVYZDYMKHVYI +Case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ase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ase #80: EBWSAZTGRKRQFSYFOZPMUFQYBDJNOAYPZZSQOFDOUEBWSAZTGRKRQFSYFOZPMUFQYBDJNOAYPZZSQOFDOUEYECFXRSKTZMBQIMOUAIMMJCDXKBEZBOMDKFKZWRJVEZJGQKGNLMXBPAFHMZTMNNAORKTSMCKVYHDEDMMVNOFYNINLCSRJBSPNJQKLTIOCWKVRMHEPJPKYJECBXILBUNFBJLRPUNWAYDTAFATLXHGZFTXXZGPAROMENDUNMFBVWYJCEJKMHQTAGCNXKLHDYHNMXIDMDGJRNHHCGDEMKDLITRJLEWLLBROJWXWQEETAQHUKQDCHUAIIMXWTJZAVLNSVTYFWXZUZXENFEFUVCBWFBRLAUATORCGWMDETFVPUYCUNXKNJGPBJINUEKHCZVQDPHRFQBECJFSKUMGDDIAELVCFXCPQEBAWSPUMQRCPSPCRSBWLHPGUNWBRTNKFWGLQHAEWYAJRBFKYVIZSDBFLDQMAERIJMFDWQTGTEKFDSFYXWYUPBJIIRJMZVWAHOTZZZCCCPPUOYNZTZGOAEURSJIMMSXMVRCKULTWNUMZJRAVAAMRAMKCNKUPEPQKYFWCWWFXBCQWYVIWKRRCSFVCEERVHKHGUMIWIMOHAEGHZIPNXXTFHFJJNQQEYPXFPBBNFDLGZAGBHMESHQCDMQJZIZJQKSAIPVZQUBEWVNMLDWYXYNCBKMUHLLVKEWIWSQAVNUTOYGZNCQPHSJDLBLAJUXBGNVDZUYKKHDCCSGYQWKTIHVHYDSLNFRGUMBLXJZLJSMBKBWUPQKPYJEMTOJDSQVXPSBWQSQXTBDMNBBXDIQAEFKQPAOJYJMEOMEXPRCTKSIRVWXDJETSQPKZQYYEPAZBOFCWVBBYIELEBMLNXRBRUMWIDVCACBWUMCIHDGJUQGPPPEUDJFTKVIUFJKCRLAQSGWWDDPLHXZMKZLUQQYMBPYWVCANACVCPARSMTCTPCOYLHPOZFDVSSCRNJKLKOLLGLGPELYSWHQRHVFKKPLUQPBFJTWNJVEYOUTTMTIXQPWPOOABAPHGISMALQHFJPJIPORTPAQKGPFFADMHHLYZYXZCETKAYKCZRYMEDFPOIPUXWQWEMEPSKKOJRJCTDUUIXURXKPSAXKCPEQOVMHVCKNJUUIXKDYTQSZDBHOTFYFQFYAYQPMIZPNUPUNHNMJSWMWPSBCYQLNHPMNIKPCTEAXHTEZLBAJAJGPA +Case #81: XZYXYZXYZXZYXYZXYZYX +Case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ase #83: AAAILCBREIQVEHFRCMHRNKUWHNNRFHDKXGLWIZKYAKMBXBXNFHRPZDANLQWASUQFINMZVIWUAZXCDPSHTVGFTXLKAFIITXNBPDFLGZPWQDLXXAVEBWPCJHLCLBFKIWVJLZBZWVGHNMFEYRSDWYMGIUSPIIINBROCMSXDVMPWIGGRIDJAFTGBQBEOIYKSVRVXBMDPMGCJONRJCWEJJKRKQKSEXVPFMVVOMCLCRBQRYFRWDDSBFTPTOSRNMYVZNJEHEVHMOTKBRENIPPFSSWJACOIQDZUDWJURRBEPJXFFUPCIVHCEBDJHSTNQRLDFOTUQWSRKHLBAGYTIZMHPVQIRKOMFVRXFJIHUQMETROKRYJTABSBEGLUQSXPGQIEMEXDTEDFKVLOTQVONLGJCZEHOAFXCJDEJSYXIKWUTZUFINJZXRRNIUMEEAPHQJCSNLBAWSZEDEMDRTJOEJAIQWFKOQEYMBCGDVKUALCSUPGPDREBONIQHNZNOAFBUYPMOOKJGGDIMGNBYDWPIJPSUIPLMECQSXLSPQWUBBNJWKAYEIDFAJQQXXCJJDGZXXIWSKYOMSOXIGMHIROLCZUQPZEJEFCEXDFUFLKLHOHYOGESALTNHBQWLSYLHBLESOGNPRZMVGNBPJMACGDYNDPJTFSIIDEMJBXFCOJZNRRKVTXHMMJIQXDWKHDBBILNLCICJEHSLTSQOMOZMAKRDSVCJHHAMYNFHOTSOIIRIBENPDQQSZPSGKXOSODLJDHOQFPMJGIANJOZQOHUIOAGLEHMOBSJXDUQ +Case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ase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ase #86: Impossible +Case #87: SKRYEUGPGBOUZFYQHTJXKFHMYTRWTNFYLFGECBCJETBVILQLYUQQCGSKRYEUGPGBOUZFYQHTJXKFHMYTRWTNFYLFGECBCJETBVILQLYUQQCGSWBSIASXGIYLBETKPNSNLIYMTAQLFHHMNCKYCSSIDAJCBYXQCGJGXWSMQTRSXUYYLMOVEIWOTFKBXOKDAWOHJDHOXZKIKTQTSHEJWARAXVMWJBFQVPJKIXDHHJXEVIEBCFERUEIZFLLDTQZAWITJBWLVFYEJHEAPOTNMCOCZEFDBHLYRGWYFIMIQBDZCNMZDMNTIZCSHLCZWHGESYHESALNPCTJSXICMAUCXUQGJEKHQWZBVFLHIYHRTBVUNBBHRIUNUMOFGWUEIMPWXTDESPUGUYTDJRGNMTZIVRAWRQDKNNWGKAWVPBKLJURNGAFAWGSFGVGZKQAFCORDDJNWFMEJWCAJCQLMZYRIWGFIOREFIVAZFXYRSKEBSIICBHMLZVUZECXYTUAXDHCTKZKEBEDMEBASLCIBIEFAYELNPHNNLUTRTDLOTXXLISUGTHPNMKGVIZPCBLQQMUBSIMUDZGPVODDSDYTVNMCXXEIOMHCMWOMDPRTRKVPMZDJQVDCCQABQQPIDFLQRYOYQVQRITFFJENBYUZMDYKXYPSCMQWLQWKDOXGVUMNWNNMSBZHZDKIHRWBRPFLDVGYXEIQIDZBSEFBXPOWXNEYIIWVXCVXFWPKMHWJNVGHWXCKBMHKIRCBRFRVWDXTFNIREIZHFNFXIKRTRGKWCMEYAGPQSGQNSYDIHCCFFVGRKVNRMVKFPZPLONVYBCGZMTYIHYOUIDVCESMTHAOHXDYLIWWLZHLQSYGBFSSGHETIWFXUFTAKCBYKLECVCSYLJGDZFVCUHRCCFVMIHPWNRVYXXYRXVUNLABPWYOOFPWOGDYNOCTPJIUUFIKTXXCZBHDBAODBDHYOAFPOTOCVBWAETTXJVMLFVQBKPEVSNEZXRNRFTYHIWCPWABKKWVPNTIEERQMVQSGDLHXKLMSSLAPHAFDAADLQCKCJDYMOSCXKESEMKJWLJNEIVIFHTMSQKYMUPCSGSIZWAKKALXPXOADGSRXOSLROZEYBDBDUBHLUQCUKOFJUCLMBORXQHCXZXDAJUGDOXAVVCDVIEIMMQQUTYCPDEBUPBYFXIFIPDGVNOBMIALCFWDELTUTDSGHGOQPUPMKQQRQCRTEKETYBNIAIHYHGPTTDXXZNKQWHOLRFPUFELVUCTVDZXGMDRUDTSQKDLWFWCZUEKUQPRWIZCCUMAPUHSFMQGTRZUUZQRGSPNBEYPJKAHIETOBNIIOMVSPZGAESOEWKUINCBIDPTCWIBCNHIWXUSSKEDFMWYLTEJVAJESHHRLAFXRBXWZCPAXZHMRDQDFEVSBNUXTMAHWVEBRCDGDFSWCVEMDLDMNSXUQRCUUHMJVRNPRXCEUSWGBXPLZRPPPIPLOCFJVBLLVHRSWVDOWBYHVUSNDHGGEKYHRTJRIWREXFHXIZDMEVXHZXWVRSNYFFROCRCMIHWGPSAHWYNWIELCBXFISAMIKBWXLOTLQBTDNWIKVVLQWZTPMZUMWFWOIZCZYBEZAFUCZZOUXJUKXCKLBQINVJIPYVFYCEMYLFHOTPQEPXYSXWOBHJASMYGJKCRDXNMRMSRXSQORUHJAYVQJELJXRWRMJROQZEPGXKSZGUQJAVHIWHTJTAXSMPQUAFYNJVKYZWBDXVZQSYVXWIYKPXDWOTIBANQLRUMQFTBBCRBSBELBSFIPEYVMLUWZTUOYHOTMAMMQJODBHZAUGBSXVSLOVELIYFSJIQQGLSAYXCNFBJJXRFDQUPIWDJOAKNOASVIPAUQPCKJBKZVNFIZCAYMTZAZFLRGFJCVMTTYOAOREBFHKYKLKUXKXZTHCFMLCMTIBXNSNQHMQHZXMNPSETGXWPLTLFNJVDOFHHVGJHRKRIYKVTXXZASBDASZZPAAZEDMEIHOJAJCDOLSUZBDMHGSRPFUTLSYXYQYTHIGRYJPGQJJCBMQBFXPSPWMRF +Case #88: SLIISLIISDAISAZCUXQOBRFFBZKLNYXZRJESQBFILFMYRKSJYLYBRMMEPYHFWALXJROWIDRGGRVCVCXOILRZSODDPANDANLRCCRECYBGMVJECVRFASDMYRQLJSCIWJAIZMWXMNDMMGRENRABPVVHUHCFBUMUEHTCCQPZZOWTLHHFGRDQQAOUASDHGLEXKMDSICUMNWXMHPEYHBKJCDYLQWOSTTSBJYDSWFNVOBGDDHDXBNFJXEFJUENLGFOXHXZBFBARDFGKGMVECRVMKFSZGOLESHNNGXWSMVBSKOBOMFNGCYZPOPLHDRLBPQAXGCLSZZLUZKPASAZNKMZQDTMBCHFTERZHRZFIGXIGYGQKRAIRQGKBWWXCHYGDYFLPCHXCMGAMAOSTLZULWQZAKMGJGXPLOTUPGKCISZWKLDMAHOJZHEHFECVYXGFETUUANPGUFTDBVSUBWBJTREZIUSWTSOPDHRFGZSMJUFBCRPVRYFBNUXYIUJESAURUUPWHWANFVWTBHXQEWYJLUHAEBJPAMMEDXLNKGNWVTTNGIVMYVNWXBXCQFBRGMQPDBAOKIEYFJUMTMFOXHIRCQIHWEOZKGEVTVRFHGZNKPFEZTROFHEJCKYCQAHISGANRSJGJ +Case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ase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ase #91: ULCULCULZMKFGVWNMSJKNIRRCLYPQRBGEXPKFWZQBLTRXWATSOJMFRWWVSXNCDJVRMDILZAPJXDZLJWJZMYPZYRUXWMZGUJWCBTIQITKGETKZDQDKWGQCWNDVFCYXENYTWRAOAWZGXDTVNSOMGHXVKJFYFNKKMSZGNNPYGKYVHOZECZNOPGSHXYPUXIELTOIWFZOTWTUYYJFQQCIDNNRIAPTNLLHIPWJXOGXZYYNSNUMWFDSGUJFWLBHGHYIGTYXWKAOLHHPCDQCDUEUWVMBPXZVDDJUEINJTMMRTVRGLJOUFTGIEEZHMJIFXNKCVADRCOTBZAUQFZCXXQFQHFSJKNIBZCXMDQYFMKDHHUTWAVGHFFHAJBZRMVMRCXULWNVMSBGPFGZGMQSSZVBIJIEIFWISXANMLBDRYNQPTZBYVIKLWFFTTILRFGVIVZAYLPHQSKJEGQYCUHRMFCIPHRAASPLBBKNMCKWEHJZOYHNIVRSKGGESUCZTUVVWQLKEYBQXJAUXIRVKUAHOIOQOVDSXWUVPXBQHLQRKZZGNDNMUCGTFKREVOAJOJWWLUVJDXMIXBPJHPLUHERUEWDLEXOEOYLYIKMCYOYQNDIRHLAGVQAVBRRUXPJJNZHYWDUBCTWSNCGSSWRMECWQJHYEOEXYUQIVNTTNZWRCQURPTQSGBGXUTGQMNGXQHJZGWPJAEQQBNCQCVHQFUXTDJQAZCMJZVEVEPYFCLKJNEHOISWIZNUFNUJRMUVNULDSKJQUDWWRNWJGPNQZJAPQEAPROHNYOKNTPSRHJTRZXJCQOQFFQFROOXLPYRWOPXMQHGYERRWBKRKHDJZXTEOTVYQSRGVZKGBQPYXHAWPOHGAIOGNWMFUXNEVYIMSXAWXYBQSYFDEFJCEHPRCSJPCSIJMKLEJRFGOJKIIVPFCVJSVWYXTIBUCFMPRHPMSEPTVHHOSVMHYEQQERZEMMVQFWTKSJSBPJAGCQYSQRMSYJRYIKULZBGNFHDVIZPUBOWXFAOGYXBEMRNKYADHZSDJAXOHWUSYTGNXIINCHRRKFYVGDHWBRWQPXKKKDTOUGCLNTUBTNBGCGLSJPMTSOAPZIYWGQTMGDYSGKKRXKPFGUTXHITWSEOFDKYAYXYDHWAGHYPSCPUMWXAAWBCDEDELPOQFEWKYFLGURQRNLVYYBXNKEPCIPUDIRAUWPHAYIJGKURQFRURERRPXHATQCJXYOATVIXDIVCBNBJKPCWUYUMMYZMXLANWYGYVZDTWPGEOFFMWUZMZGKABFDPQMFRYRXXUNVESWWABFLWNBYOZYXZLZXIRMELGURSFFRORWWKYFUKOPNZWZSNSZJUYHGIBDMFYHSLDSYYXTIJLXNZYGFILYVLLCSCCETGRFJFJKQTCNWMHYMGTWDYJMRVVITGPGIMGDJCNPTECJHKBYFZDSXIWDWBEZDUREVPSGMSJBRIZAKJXOBNTMYTBUKYKXXPDZAXCFVIDBGULQMHCAFELGTWRSHSSAMAXGHLLCNUYHSFJRHGBWKKKMCNHJRDKUPBKYWSBPNHNEVOAHQFKTQGWFQCPZIRKNNDTEYEXSMSHIZCLBVVSRGIBWZBJTITRFOUMOZXQIQBYTBAMLIJAOSTUBBZBWGCBLVGQIBAWVKQBMVPWZJDARETXFCJCXUMEWPGEHKXNTFQLWTNOROTTFMSYWOYGYGTYGRLQZSVLNAIUUPPKRCPKZVNJISGPSNKCIEWXHWRCVAVFPZXWIDNZYTSBDOZWXUTWYFBMBSIFSKRZSGBSEKDHZDESIKNTEHYKLVYNAGLFAOAISIKQKAGNJASWREYUFRMBBAMXWYRQHXZRNXUXNJUFFFYABNEDZCWJNLEJOETVFCPZJXGHZCOWWZAQKPYJRGGONHZITOELWAIXVYHFRZJXWMCDYJQJWCURDOFWQHXRAECHYCQNMGRBIZHZGKDCVEVWXBWCSXIVLCXJLUYBWLLSKQGICXYARBDHLLZHEOOLFHFB +Case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ase #93: Impossible +Case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ase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ase #96: RSAHWFTCJLDNAZDLEDCYYIUJJRSAHWFTCJLDNAZDLEDCYYIUJJRQNMFGKKWUYLJHLMCKWAWHSAOHBVMIORYECNIPLONCEJFEHVSQIUXFNJDJHERESUIDDQVGHMSTKWRAUTDJOUVQGOBYNBICTGONDXXTCNSIDYGNAZDVONUWAPMHAOAUFOEBHBTDPUAJJXRKTVYHXJUNRALAXRFXKOWEUUDWNGWLPZKFPOXYQSEXSGQVEDZKQUJALTFXEVQHR +Case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ase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ase #99: EMDIBTRBBQLXTALIZLVJXVXEMDIBTRBBQLXTALIZLVJXVXEWBBCEWYGSYFQJLDDIPFMHXIIQGDGMJKNNIRSLOCCALCTJCNWNGGZIRJWVCTXEPAQNEGUNLNCWJZMFLMFZDOECMNQDXTBGYMLYJWWOEVNOCTMBXVBFJSPFRFTDCTSNKRIMMTPWAYVIBUUADHITSSYDGFRLMFDPZFXTJWOVURQUFRFJLBCKKTMIPECTOEFJNTIQCLUFDLMXAZTZNCGOSYJVGESRKYZAPDUBKDAULHJVYOROWVSNWHBFDYHRWIKKICTPPDTJKCKIBROSDLMUIFNXMUCFOQWEPSBCRVBGVTJVNGXRFDKREZQHAZDZTJSUUKGKRJNAFLKGXKRMXSYTUPWBSUYIGRDIEDAOFFIODYTTTLEYDLOSPBKCUAACQWIUZOWCFPPAEGIQTEFMCXDEGNFSJKAFVYOEWUGPHNTLQUKPYVTDROBEVFAMPZAPHGNCISISCRYGYQTYSSJZGJCTKIKPVUBXEHAVRPUVXYXVZFTOMVGQUKIDVZMLCSZWENQDFKKQXDJWLHUXUQKKOQJOUKHZCUSEOYKTOYUTAULOUPWVWHCYODCNSOTBYPMCJHFWAWLBPMCYFHLGTMNDXSXGIKRGZOIQEVUKZVLGJATMSSCJAEYGEIGDHCMOCOUARMXIHBOPCWIKRNBVUPOPBOZJJNWCUSCNGVRDEUMTSDYJYNFWQCGKVXWXYHDPPQKALDHLOZNJTBUYLHTJDXEDHWTLOIEBJFMXTYTQXAEABAWDCCEIUAVSXQJHOCZLXXLEFXPPAMJHXGPJDBUVNYYHSYAAXKRXUDBGIMANGMMQAZVZKRXTKFSNRPSVSAVLXTDLUWOCTGXNWVXDSPJGSKMAOCXUZDVONOGBRXOWELURQWXLLVUHACQTYGRFOLODIXPVPMXMPTXBRSVIJHKZURJXOBREDIBLLTLQMZARNRZNYDGHPUTMJBKUXIDKYPFEBBMAZUVIHWUBRFOMYSWGMOKTSJJGUQDQCETVZJJNUZCXAGYKIETTIWKMTFLEIEKOMHOHKUSQYJOQDOIEGJEKLLVTSCZSWBLROBHTQLAUKTJLDVSOTBDZTNXOSRFMWXMKIDHGFGBWDCDUYRFGOXYHYCRFUGWHAEQDCAJELFIBNMFDIFJBBFUDPSYGDPQSIBOYYXTWZSDLFQLXQJDCTKRYOGHKEBPDTWKASKQARMSYQMJESWXLHHXPPTBCNBIULSHYYUQIDRYBZNISUPMFTTOJTROVQYGOGOTIIRKXAWWYKBCDDANBAPMSYVRBKBZMDCEWSOYHSXMGPBMRVGQXBYAAIQVMTBQKANFBKXFFARPQFTNMOGEDGHOSHCOSLNPCXAJEEFCTGIMSCYJGLWQOQPKLGAHEIFLGVXQTOVHFOPPLOUAUIILTSLUJWWOJLROPZUWPNAOOODYRJUVZXAUWUPCYEOAMLMPMMDTHTXYTCYVTUBIEAAYODILQCAHEBSRNIEUDERCAPOINKGVEMIWLWQFQAOONRYIYSSWDHTQNWVDEGUAQIWYFQIVTGESVMSQOUURWNCZHVRNVCADITHFMRCUBTIVAHPVCHALLQPMOUYPCPPSMJQSOCVZUMUKLMPLEDTAKJRZEVCXEKIQHRDNVGUVHKMIPURLGQQJKPNXAUBZLVYBQWNBMFICQDOGTOOLURBVINYSVGVMZLLTPQCNSAVNXZELFGBLHCROUADZVHRSVXAYWFHMYABCBYVNDLODITISUGILQKMOENZAWLEFUDRNNAPRHUVQTCOCZVOHHNODRCXIREYBUGOLVEDDRBQYIKMWSWXXEAALMHOCLNVVFGJIFXRZHLVDCFQPZQIUHBKRRFRIRHFDSFNJSJGPSDHNFZRGZKBAUMAKOMPWOEQOPAKQRIGPISFAXPZTWVBHDFLVZUZMKZUZMOIVIKGSSCIPKVANXPNFOYVDITZXLXLRONYYHFHKFGHHEMILLBYSHCRVWIXHUTJNGSEMPOXMHPNI +Case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ase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ase #102: INHNFCNVYASLVZYDKHAJBRJWWUFHLSPUSGEXEJAINHNFCNVYASLVZYDKHAJBRJWWUFHLSPUSGEXEJAICYMWDNCLKOVFZEUQXFIJSBHYUHUZYMZIQZXWLWNBIFVJQOTYJSTDIXXCIYVHSZCBWJUTQTCCCDXXKSFMSDLHBFJGSOEBIIXAIXJTOJPKXYUDHRIDSNRWBNUYUHAUFSCYPBTPCJHPLTUPDIOSXUDJRMGKZAEBYDJPNKPMHYFUOHUVTSAHISQCIXDDKPBHWBGZIUUTRLBTTUKZDVWJGDRBVVYCPQAELJOPLIPWPGYGYJODHUIEXLFVTBZQWTOQPIHLYYSTGOGQDLGPAXCGLFBXIOGGJYFYATRGFVMKJPGGOCOXRJSMQLGNLRRGENGDLXGGEZYEOTIUHAPSNGMMWQDFHDQAYOGRMJCZCQRWDFUEWCPYAHWTKQKMSDXTULXGXUEKJSCXOHJPPLDAZUNGAFOVDUMFYYULJIGWXMPSEHRNDTKFFJVENIYEDFYIRFXHFEWNJCTVVQADLAPNUFKSNHEMQYPJEXHWGGQZNVV +Case #103: ECJUTLYKECJUTLYKEZSLRNMUDVXHAHQNDVHMZBPMFGBZUOAXMEZZGIJRHEJYHTVJTFINEAZUIFQHNIBHEDRKGMOVOUBRUTQUXODQBAUQTTDNNHOKLXDKODVDWWTDECOPYHZXTSKIODHJMQFBKOZWVBCQRRORCUJCNZJWABEZOYKWJLOVXLAJCFTVFLQVDURZQQJEQTQJHFWHTYBHHVGKXZRYQDXAKRBPUJPYMVIAIBOMTVFFUFGBLOKNLNYVKQWWNRCVITWQRJBIIATVNZVXGBGIRREMHYOIADVBKTGXWPVGFEZBKGJRPZLEYTOOCLJCR +Case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ase #105: Impossible +Case #106: FBFBFBFBFBX +Case #107: ASUCABABACUSA +Case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ase #109: EXPEXPERIENCETRANQUILITY +Case #110: LRGQRLRGQRLQLTJNHEMDTMSMFMKFTGOEFIOJJUERKJMQSGPDSHRZCNBJQBMMFOZGTQOKTGXXTCQQWEUEBOZJYMCALGGLDPNKVMVCBCPJXONVRSYXJTLLZKEMSJJFVFMLOIAJPFOHXXXDDBAVNSSANFSRFXUMSFORNRETFQQBFWTQLVVXCQOXEAWCPOUCKMKNJQZSZYGYLBEHJERZYCPKMOYICKWPZVSCFZJVQFLLGSQVKDBQBEHPZKDTQBQOIDLUFRXIMYJNHFZFVWLDOFHHWXSCCLOWZNKIWWUDASFFZKSYAKQMEOQDTLVYVFXYFRBTCYADUGENOUHRSQMWGLKFJTUTMBMQJUOXUWFUGBOKBLSLGCHYLXNFMSBYORNIHBSRSCNJRJHBCTQWUFXVPGMVJXCUCDKUJDAILGVUXBKQNUCYQSQDELWRKPTWBZPPJZGMIKGDDKUHZIGAMQCSXBPVDOBAJNDZBXPOSSWTIXRFEAUCAAFZJTHJIJLBPTXMBSMJWFZPIHUKIWNBUPLFVNIQYVTKFOTXDFHYPOWFXIWCECBZILKLLWNYZHPXMYXSZTYLGPGJFTZZDMMMOBNQEOLAGIBRAZCPLBAIKFPVMXNBYOCNCCCIKTSOLWBJWUTBILIDGMHBMZLKAGLSBTKAKDQGXGLLGEIKDAAZBPINBQGUHYBPCVUVAAOKINCMERJWYDLIEWBVJXSFEJSOFKUHHDLAZMHDDIYEEZIOKKTAWEITFDCTXFTBYQLDSIKKBOKQDVJKAGUATIPMVSJPYFHIGBMKNEJCMFYUNVINYUEGMWVGNHHFSPSAIQUXCCBKDWMSDKUWBQBEGYYRNQGRAOKOTVMCALXQXXCVJBEIBFQWDCHFUDVHILZDSXPPXYOFWLVVCTQPBFWPGBJKGAOPVUDRUYDOIEAOSYZCSFNZFMPDXFCVPBPNFUVRAOOMSMPTKOEBBWCFUYCYKTYSIMDAKOKQQTAPRKKDMOMSHIPVNLXAAIUFINSSEZNCFJCIGBMZYQLVSCGPJVQJRGNPKFWNLCMUJXFJOUXWFOHPKJKFDFQWUGMBDOVGTDHXBFTUHMHZRYSMBWEIONFMFQPGSIBLDHMIZKIIRIZUFWGMMCGXTJOKKSGACBCJJZQBAHTXCTCLDOXWXJCBPBIRFPAUYHPIKYOFQLTDOXVBOWTIHSNQRXSMGEADPNWMMPDVKHA +Case #111: Impossible +Case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ase #113: BIRLUGVERDQNDAWQJKEMFAZFPRUGGLERQLZUXOTJJPJSDGRYEDQXLVKQCKTJWESNQKBIRLUGVERDQNDAWQJKEMFAZFPRUGGLERQLZUXOTJJPJSDGRYEDQXLVKQCKTJWESNQKBIMJJFKBLPSWUVXRVTSNWZQKPQXYEAWSMPTRTUKOBPFVKLLFWQDYKYOZXCANZHQTTFDOTXCCVKNTGQOLBRQQPMMLTNGHOMIRFOPGMPKRJJGRBRSIQCADKHAAPHAVPSWPTDZTHZMIKGLGRPGQNYMPRUIBSKZMAHOLMWMRXEWPCZBGXYDPBZNPNRCPMKNKMQPEWKAOUYQKPPGCGOPQQLYILTPOTQFOYSTUXTJRXRHAIMXYOODIKMGEBVDUMVIPBMXBJXLYJYVIDJYQSGXDQPHJICDTFHDXKGMVVHEQKYGWGEGMPETFSQGPBGDWATZJHMLYKVBUZIAAIVJUIFGZMOACKHFSEYATSRABRWMILAXNSYRSXFSRVMVKITXXDCXFWEENKZYAIDTFLMPRMBASBAPWMYEBNITVTXNTTCQXPWXDEBZYSNZGQGTQMNVRFGLDRAQSGJRYPMDXWIPXTTKTLCJLPLUOPGIJYCGCUGQKYVVHOQWQBQQEIYUKQZXMDHSOTYZZPFHJPAPAJHZZGMLFJABFMQQHEDKLVFEAJIDLXJRFHVUSXZWFKAWVXXBNCJLKZZADZRVVSZCKWWVVHIHVIGKVJGDZLLCZFZJMDCEUFZKTKNHLXKIAJKEFVCIGXRMQOVPFHJLGVQHZTBCXVODRLJLXLNOWFJNJVMJHUTOXDFJCWNYJKBKVHWMOXPXPNNQSMMANSZSLUIOWMAFFHFQUVHMFPRSIBXYKMSGHLFKASCBAIMWZUHNCLFYGPPFHSMIDEDIGUATKRBKNKVTTWHDRCRKXPXTGOGFESSUKFSKYIUDHADNNMCOJGHZTTERUXAMOPATHGNTGYCCOSVLICHIALOWDJDGGYCHNQWTSFCFTAKVTBNUMZLUAAYOLBRNIVURKNDBOFBOCBQNIYEQGSAESHVWYTTAIUNBKXEMFUFUFFJXRQOUHUNSIYDKDHYWDMVAVVMUZEQBJAULCHGKJPVCWIGZYDTNCPHNDWCHTSQVTJOELVAAVJDQJFOAPZIVXHMENQ +Case #114: Impossible +Case #115: Impossible +Case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ase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ase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ase #119: 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+Case #120: THRIIYIOLATHRIIYIOLATKSSGTZPCVZWRZVROALTTMFVBXTKNQVSEIPSNNXDZPLQBYTMDPNQBNULCGHNYNPTHMUXRQKDYJVAGQSDWMUGIATGDEOJPXPFFFNKWIJKRXXQUHNVIYTYUXHMESCCKBHDGPVRAWWDRBNFKQOSPMTJJSZQHFYFCRWWSLJQTHTELWWFMXKTWIMBDFIAJWSHSOSKYDNPKNQDMMWCPBGQSRERNEICVEYMCOCZDGMUBYNTDDBXZYKMXPFJHGSWYVKWYIWXIHAHYYHJIYDBQHXWKXLRFXJUHCSMSWFUQLFRKCKTYCAEDQNUSOGICYGMYXPCWZWSTPSOBILDZGBCMOQXTWWOSFGXUJPSXUXMPMRWHZZBCVGCBGZXGGPUCDBITWSRWJLYBDNMXFJRKCFIUKNCIOMOUQQMMNECBKLHIEZYZDWNZOOBCYEMZCBYSFMVONVZGJQKZMVOHJSOYBUODURFONODNDIBLVQEFABLHLVEYVUPQUNAZMPBAWGXSKNETEXGCZRLIGSMILLMWNQAVKFHICDLGYNPQDSTOGKJLSYMLDSD +Case #121: ZQQFXYBZQQFXYBZAGBIAFOTXQAGBCBRKYNWQWPJNMPKCIIZOZEDHJRVQYHLDNUFXYNMLQLMCLBORPZELAFKHRQHBDKWZKDSQRJPJHSYHDYZTGYECVTVTYYRSRNAEGFOJXRSIDRJXGQROGQBSKCEADMLBWRFOFTDBYBFTVTLNQXLTWWRULNLRTJSETPNICHICKKSANPCSLQANVVFAMFJIRXBCEQRHJZHIBKTQMVEKWJHQJYUUZVDRWDMFUPRKLCAFJAEWAWZDTTSVMFGMWOMJRFVNVKSSVODHIBXVGSMVZZLRJFQONWWBZLJJRALVIREJCYFARZLVMYZONQSCGUDUOBOPLIQPETDWWMTHWPWWLFFWTAKODXEVBTYVJJIDLSVYWLIRIKWPMGLPDXLVDJBGQSRSUIGGOUSJRYGOODGAPIBMALHBKXLEOEZGFDKRGNEDNMNJHEMHWUOXPXTKZBTPTNOFSZSJDYGQXKOVEDWAWGDBZXLBJENWABCCXQLCDDCDTTTSYQYIETUQQPJEQEGWMCZDAMWWVIEIXRFCLFDBWHOJVAOPTZMDOZFENJBCYAWFLDZXAJODCTSZGFGFXWATBQYXWPRIHWONUWFBTERXNREIMCGIINJQUZCRDTKYMOCSMZORFEONSNCFCWTCCFTOSECABLOICLTDWHSIYFWHTITBZRXKHISACZYGJQBTXVROWIDNJFKGAUWPKVKUPNBRHCWSBRZAHWEBRDCSGRQYXGBJFEUIQRBCAXHUWNQATDJNFVOOQXCRLGVXNPEZYSCDQTAVNGCLPGYMTBQKBLEKYXLVAALLAPEDUQRVAZTSDOHMFWYEATRNRYTYHRRCJDETNYUAGCLMISNLXZITYVEMULLEPGIIPHXKPEKUBZHRHXZHNRMIYNRPKHWRDXNORMYELSTLXWLGLWBDASAIBCIJNHHQPJGYZNVDFUJIKWCGRPLJWLUXKAEWDEMJIUJCOGEPLIBFMRTHCDMJGDTXWRXEWBIWLTZXUSRBYEQLBDCARGPYTCZEFMVECAVTZVZNOOOXWQSKRJXWIAYTLXFRYOTYJQGBORHVKBJRZOFKMGXCILRIDHIWBXIMHHEXCQBLYUNEYNOGOYFUTOPSYJWPVYMVWDNWSGQVOPETKZZCTTXGIZSOMACHATVBOMGCFAHVKDROIUZSVLAOJOUVZHYNTWYYJYLKMCUHIZHALMYOODRNPNYJFPKMUZCLBGQYMAJYIKKUMDCBWIIDIYHMUKOUEPPQFKMPTJFCKVALSAYDZYJIPATAYHSELOTVXDESLAWMUHKULJMWIHBXGWMEPXQTGWVYCUQRFVGOMQLJEEVBHONDIYCEKLNHMFBACUPEABWCOVYXJJOGTFNZORSYGCQDQJZUCSIXZKUJFLRMLIJXVMOJJCJVJGWKZBCXUIDMIZYXPVCRQCQFRJBQGZTHMQNZYPTBAVFNWYSYNQYRZFHQEXIFCNSUFHHYETURQICCQOKQNAIOGPFMVOXWUXJUGWHFKHTCNBOOP +Case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ase #123: 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+Case #124: 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+Case #125: GMKWQVAJBSGMKWQVAJBSGHHOAKFCNOLNCNZFEIJXYHNPDADOHNXZUEDGXYOIOHTQFZVNQFXNMOAFYRBDRCPGTBNOQGDFJRUEXUTPUGGCHLRSFWQBTRWMRYPLVAWXMFBBBBYVABGTCSEMHFPRWLCQQJUAWEHGJKXSLVOCHMPTZQCPQWPEXAIIDMNPLVVXJSNETVKQHRYCYNHAKXLEKVJUQZXBTGGNNJHBOEQBYYRTFAZIDUCRYQGHRZFWIQIDJXSFIHCLZSXONPQNKZHRYGSAWDDUMAXGIMZVFTBSRAPMRHAJHSAJGRRXSHMEWUJDHUCQHZPTVMBMGLPZUXSYFMEEWGTDZCBORTXCSOKRIBAYMAJXEGCXYUFXKVPWPFHESEHMAWKJDZKTEIVNRIEKFMCDOYRVVRFBWICPEEXEJXRPPXXTFZKFHJHZIMFIEMRBLVBBRWUUDFKGLQFDTYBQFEZTUDWWRHPKMENQZJMRSMCITQUHRBDHRSUHKFKELIULOXQVHJPGJUDXAXQXNUZCAMCUBKTYUIPNABVHZVOVJDLBCTHSAGGSDBHIKGNPTGGUGWLSENJIRDELKLJHCXKHTQHLFBIUGFLLNBRKJYRKGE +Case #126: Impossible +Case #127: VPMUIYSFADAJYAZDSGYGZWAFNAZGECUGEMDVPMUIYSFADAJYAZDSGYGZWAFNAZGECUGEMDVZXITECVIGBCESPRRFTHVIZFJYCOSYGQNNHSTWOULUDPPIVCVGAEWSMFYXZXXFXQRCPEVTPXZOZIOWCZIIEBAKESOWZNCPDMALVHNJWXAPYTVZAVPSQVTBRQDOXMTGKJLYMPBUFFHQLGBZRPBBGYKESEMNFSGXEUMAVOVQCSENHIHQBEWKWHJYWHGXDULNFBNGFRNWJTRXVLNXQVXPLMWEDIHGKKFINHBKTYJCAGAVMJJOMMCAROSKZKUFEMXOIFBLCSXMRIPKBUPJNKOJKIAUQAVOIIFNCLFUBGTHCLMD +Case #128: Impossible +Case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ase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ase #131: FKRJZGNAFKRJZGNAFRDKCAXMDUCIRINVAZSWRUPHSNQNNOQADPHZPWTBWLLIAYKRZXOYZHFRUCJNBEOZMSKSIIQMWIORVECBJEVFJFAGWLYRJMNVGTQDQXJQTTTGXZPRJQZVZSLNHIBTBPGGGWEGFRIUURMNIRMGXVDANYQFKNFXPGNZZONTHYCOAOEEYTEFNVVLKPIZPYLTTPCYTGOTBOTHNGNTRTHJFTMLMVLASHAFBQCUDUECASFWLOWSCFKMARYYLVLFWKLLHFTKKBEISPWUUNSCQAZLHRSJSSEKXNPCGKSJGQTPJAEISMXJZWKCDGMMCSWEOXXIPWKKVCILCDPBJEODWRKLTFWCTIFIAQVPXLFRMBYLRKFFSJLUHLXMJENNTPRZVWIXZQIDGDXMCRAZJABYYIGHSQZKJSYCCEUFMFUJFYIWSOKKDGXGETVFUYOUDRUZBDCDGOLEVHLOSCFLNTCSLJEKEDKPSMRHNBCFVSDXFIFNOIFRZUPCEGFLLCLVGDDHPVRRODAEIBSDUMUCQBZCLYKBLZSRNPMQDMNNWDGYYXDVRKQVKVDCONNTXWJHSKBHTTFWBULWENLZPQCHTHRZFZSWZWOFVECEGULVHJHNJSNIUMOVHJCPCXCSDUAPFWSENUMKFOFOPNKRDTZUCRKKMFJWLXGHTAJOKUXMNJIINIBBXTHTCDMKATQJBYTFBKMFSGVUHVMNHNHIKEJEQVQDDWLUXZBDTVTGTDTGKUSMRXZPUBFUVRDLZQPUKITSXXGEXKOLRSYAVGSQQUNUMFFPZSQXJWFCWWTPECLEUHEQZSJJSRFXFZLDOUZISHLDHDROPFITBURJZDNANFPOWDLLNEZKVFOAGAHSFNYIRMZZOYRNJMLPIEOLLGGUGGABVPZUNRFVQSNDTEADCKVBJEJPNOPTZJNXLATTCASUOKDYUWESXONVGJNAGNNDADOQOKUVWXSQAUTVVCAMXQJIEAZORGSDQJUHYYLHQJWVTMHPEROHOSRJDSOLTZYWGDABSBEYWWEPPTNRJYJXSTJGSTVVYVVNEWBUVRSRXNPGIILVSHPXILMCPKHATPTNCVZHZFUZYHAHRUJWWHZVIIUMPYDRAENUOKFBMAEZXGCWZBJPRDCFRZMXSULKROSLKQPWFYDDRRYIKLWQSLHVJKAYQXOKNDOHAMCMKDXKILXEOQMJEYPFWDPPNFGEXGWXBCNCKHVDCMUNNEUDFNVLFQTFQEABDRPEVRZWYKDYZTCCGYEMKGGKHSUJJLSRVWPHHUGTDJCORZAFGLJDOSRASXOSGPZPAJFLGENNIVQRECNXNKFTDOZNMBJXLFVJS +Case #132: UKFGHZHGZQPYTEPXJEKTEYXWUKFGHZHGZQPYTEPXJEKTEYXWUUAWTBQSDDZIYJMCYROGNDRVMBPFRZTHXNYATENFGMKMGFLHSGKHNDYWVERSNKJHIBFCOLJYMVUPKGIQUAUHYIYFDWRVHFJUMQWAAWCUTCSDNGQNIORLBWS +Case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ase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ase #135: Impossible +Case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ase #137: ABCDEABCDEABCDEABCDA +Case #138: FDGMPZUQZTNEYDHTQNADKWXTHEPTCDDQXUJUBMNTORYWCPOSRFDGMPZUQZTNEYDHTQNADKWXTHEPTCDDQXUJUBMNTORYWCPOSRFEROSOAODXTIFETHQIJRAHBPEKLPQXERCAPXMDWWFLUGPIUQBBBMBNOMZHPELONFCNZTSCGXSVCZVIFPAOWRGLNFOFAGWPTDXWJXWMROKFBKEETIXKUBOFWDNQJCUMYJIGPISGWGQAFAJQOVURVSPYAWZRCCGYJCIEFXGHSFOXSKFGFZKUIRWFXLAEIDEUXGLHBPUOVMIDDNOFAUPXOJKPKJAILEKPJUGYRCRZINEIYVMPCQIUXUPJUGWPXDVFJAZTJPNEFOVNORXCEXNZSHDPYSRJZBXPFKWCSTJMNYCFOCRXHLCSKIVPVYVXNEXESMMEEHSMUVFWWIUNQUWADWKSEQGRTPIESVDZMGEJDWBFFRJDKESVWLNIEMZTLYKQWHEZGMZASOSDGGZWMQOUDDOTGGKFUBQBZTZTVSARKDWFRTQOAUOTTJNDLSGQBRWKJBMITHAVPVUPCLIGVIRQYDZHZGLIWAFDADWPQYXFKBJXTZEWPXVSZGFSQNTPHUSIFEAKAYYVULLAERVHTGZBUEHRRZPMHEHXRYCWIVGGETIMNQWAQHFFVZHQKWUDHZEHXDYLTEFJZLTTYHJXVRHKCPCMQEGKLTIYOXPQJOBISDSFGVKLYQMTFZDKSTRLHUMMDSHNEMTHYFXKOTSLYKHEOZPOAKMNHHUYFOIAZFODOEFCAYYSGIOHDIIDFDHPCWFRSLPKFRUYPUHJXFWWTMTPJZYEFQLCGLGCSUJBUJKXLDVWDSUIWKJASZGNNXIGAFVVOTCRDCECHLPMEQFHYIOSNYJDIUEHEGGFKKMSLHKJXOBQBAENAKIUYNDXLDKTVFYJLZQPKJGDGHWDMTNFZECYHVZJHTYXPEMRXCGHXZQVWOBHOKHMYIDYDRGQDKXAWWYSFKQRSAUZSTYMNTLSCHNBQUMFQGIBMQ +Case #139: FVDEGZQWEMTRZZYAPZAKWKMOSEVIUDNAVUTANITDRRRTZJDEKFVDEGZQWEMTRZZYAPZAKWKMOSEVIUDNAVUTANITDRRRTZJDEKFVWNBETVTYGLAYAEXRNSMPWOTCJDCBCNHHQLXHMNDFFXBACQZDSBOAQNVMCUDAKEKZVNXNXCJBCOQBETMTRHBMVDGWPJWPXLJCNQQSYMBPAXVQBPZCYKRLNCDBLDHXZANUBZOPOTYDLMOMRWCIKXXDJKIESDXDCXRVYAUMPDLLNYDTQUXSMVUUWXGBPGAKACIMMZAJNJUGPWJLPTFFBRELUGCCJZHZCX +Case #140: CIQVMLWJTGTWUHVEBUFHQUAUMCIQVMLWJTGTWUHVEBUFHQUAUMCIMHAKHNCAXOPKWLJOGUPVKNTVPHZGIOTBMMEHNRPZDSUPUOFDZESDZEWQJTMBQXJLTOSNHRJHSQTKQJCMAAIYHOOLTPDOOAGQGLNYNHVPZXPEFCMVQFNZHRHCHBSHQIMUTHDJQYHHWJSOQRLUGKPCSYZMUHPVBTTNSBXNYDRQAKRNBJDLPVXHGCVDCYBLRHLRZRCBDDGEYQXGZNLNJLDRURVNETOAYUTXSWHMFVYICFSNYDNYNGAPVJJZSAOZGNWAQDABQCRALBTVCJLBYROKZTVLBOOJRHKCTATRXMAHNDVMLAOYPLKMLTFRWVDFNURCAOTTQHAKUEINCEMJNSBYIEILVICGUSJGITDADFIRJDFQHMLTOGZ +Case #141: RUWJOCAQYYMNWPRUWJOCAQYYMNWPRYSWVOZAKDFXEIKRZCVYENFYUPWWOLDBHOHAPAKKNMLCVNEYUXHONIWFKUAFKZFMMFWTQIYBWOFFKZJS +Case #142: LADIESANDGENTLADIESANDGENTLEMENSTARTYOURENGINES +Case #143: Impossible +Case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ase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ase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ase #147: Impossible +Case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ase #149: SNIJCZABYDOIRCNNPTRGOXIYLACXZYOJEGFRAXFATPSNIJCZABYDOIRCNNPTRGOXIYLACXZYOJEGFRAXFATPSEPYDMUZYIHCLZVIAVOMFLNAOKLYCUYIAASBDJNGMHIQZDSGEPIHXOANNIPLBSMLQTEBUUUSQYXBOANRBERIEVLQJOJAQZHQHMHBHXBGFZYFYCHEDTDNOXLOZALTJKSNKORDIQQVREAFTVEVVGVCQMHBITZVAWMLEORWNPYEBGFDGTUYYCLTNCUWYCTLUNOPDRVREQLLJAHYNOZPE +Case #150: YYYYYYYYYYYYO +Case #151: LQRBUQIAMWKVUCJNRIKBJMETSPMUXRELQRBUQIAMWKVUCJNRIKBJMETSPMUXRELELTHWHXOLKKLYTUQUWFESACUHZXVXWSFGQANXLCGYARQFFTTWOTLTDXWXTIHARDPRGOHDEJLFFYIBNVBHSKGDZBWHLGFDNAQXDYZBYTOFSVVPYYYVJLJWTUNZVUBSJJWPDJXYUVJAKBPDQGZFVJTFIZXQZSTUKOWAUEBKCWYMRKOMUWLVPMAWLQPUHCIWTSFRIGCGYQIXWIXHYDUSDEKQNSIMGWUKCQOJSQCOPLGZXIMWGKLUITRHSAGQEDBLONKPSXYZQMXTYORZQPPIBEXSDMYHVEWUFVXQMUIFJHQTFZHIDASSAWBSFRPVUDBNNEICOWMNUDRFCHAVVXDFTRCBHRIXEKUMAMSJSNZZJZRIOIIOZDROHBSYKVRMRTFRANFIZOVXBRPBZNERVTGANDFQCFFJYRPWMLXRNIOJRONJZRMYPQZIJGNNSKPJPPUAGLLBOCINBEQCCQWXUTTXCGWLHRLZHPOYRLPSUMOVZVXXGYHNYWZKHXVAKQAQWGMQQUDXTSYFEWCFWKHDYBGSIXJIMGTPNAQBFTRIHMCXSWIBICIDICWSEHLEMPAXDHTTTUWEUAFZSOIXGPXQKMDWHQHPGJOUAGBHEAFYVNTEPWOHWZWCOOQJQSJTHPMHOTSXYDHTQFAYJSXQYWVWLBSJUBBNWEECKZYMCVMMHLLGBYQBSBWKXRMTORWYBHBIVODSTGJIPNAIYMXVNWILJSZROTRQUQQXHIQDDCTOMZBVDIVBFSXHOSTKDCHCWBUQXSHVEHZXNCTFJDXDMKLYBZGHFMQUZMVDYJZCCKXKIGYRLXKJCGVUGVHPGMGIUDPQWZYAKMHLVYAYYJQKRGHLYJHQKGPKAUAOSEQTTTZQESXAOENPGQDRDVJWRKUTIILKSROPRNPSQIESOKXNLFGUXWEUEDLROLYJRIKOYCADRGCPXSJGEYCQODGZZFSXVOJWXAQKSEVPYAYNTCZNHPBXGKUKWDMDLIDKGNSHCVAGTEOGBWFAGCSYGUNAVUPFUBVOPXPZZIQTEKLZLGAZGVHHQPNBGXDWAHOMYVNITIJUMKSDHYTRRLCRVWPTSDAQOPTWXKKNEBWTHGHWDAPERLTSMSAJTNVGKQCHCUNMIDORBOGOPDBYETJDUYEGZQUGCFDGLVEUMICTKEFNQELEMJHMEZANQXTMDUJEEYZOBEVWCFIEKGRROWIUQNHCCLVGMLDTAHPEPDZXNTQTGTMWLDOSBGJQBKKNJXWKDFCTKAQVPAYZNJAQZUPOAMHVABDLWJFUSWEWFFBRRBCCKRRDXTTPHIEHZHWLZRAEAUCTORDCHYGHCNZTOXBAZSQDIDLIJPSCEKQEQRNPNTQSHEPZGMUTGHQZDYAWNFIZCEQTMBYCYUWXYNURSQROVCXVUXNHTZAJJDEWQOUEHFJASYLJTCEYSXJYOFDLXPBZTUHYPNCFISLTCWEKBHZMHSNFXFZLHOQKYCLGBQPEGHCIPVKYAFUCZQYBXONCGNFIAUUUGPRZVNTPURUGZWLNAUDXKEXXZGKBQBRMOFBBGVJOZNWGHFROPWSHGWVHWRBSMXAINDOZTUNBLSRGQOAFWBMLTKFWHNVLLSQZYNIQNZVODBOBZXCNSNQWMEECJNGWPYFFLPUGVZWBBQHLKJQMGLCQNRGJIMBWCXJEPAZVVCFMLJHSUTMVMWBJEQSMLWKNNPARRPRYBVCGUKRTLRZATESUILCJLFGUWKIMCYNKMQXLMZFLCJJUAERRCEGPMWANAHISLWMUHXEQOUOUGMSNYMBRMWRAJGWFVQOVEQARQNZGPSLCVDTLCKNFRRXRPDLONFZNCEIRQOHRPTFIF +Case #152: Impossible +Case #153: SOEYCDVURUHNOYYLLWITTAOOCSOEYCDVURUHNOYYLLWITTAOOCSLFEJFRQASTTYAKTINEGLVMEOAABNRGUCTYHATKKXPBGCPASZTORAFOENSPBBNTZJIWEIXBAECZRFZQUXQBHBOXLWVQGBWYZSCLMAFOWVCTUABQKHASNWUTLTOEYONVNLWEENVMPUMZZZPTCWPUKOVRNIOASPVMCQWOAFIFNTEYUBVJUQYZCBPVRBQOLCFFVTJYFLURIQXWGZEGJWOGXDDKCOVRZKTIEQXNOZATXRIYOSRLZNVKHDRVCVEVODSPFRYPFCFUCSUTIFYGCPOTGGRKLMXJZOEDSUCIJKDGDEILBZKFCOSVZFHTYSVAGZTWEHUWAIOXDOALHTPJUUQXPDIKFOTQHPDKWUISBWHISKVDZOELFNLGRQCMCITFESSOPJZZMPWPADSKWJRJVUTSXVCUVJEATIRMFYMKVTLNOJEQDKVPKQHAEKHAQRCAQSCYARWPQZKCWLANHWJWKXKRHMEAOBLNFFHVYOBWAEFCALAVOJJDXQBRDMSAALCUAYICDEOPUJYAMEFDEEXAOGZWQDPZCWQNBMTTQRQWELGAVIDJGLAXHLBTSVKIKKHTQGNUCMEHXXXBLPCZHNSHSGARZFFBSXWHBREULVJHCMLAQBIFSUJSWRCCOQUMSRKXARYKXZKCDWXNLUTQKWRYFKAGTNZEJSCPNAJCAMOZNCMASYSFFMMUVRXAKBHGTKVIQRDCQADHRKUDZZZJBAUHLIBDOXUKKJGVWVLNGBMUAJEXZZFOTWYPZOLGMJAUHNTYRXTVASANCZOHGMBGRLOKTBKVMNPCOAXCXHMESWBGKBMJSODABCKHGERKHXHXYENCFURNPIGPNTMREFOPVNGIECLACRLAHMGOYFRBFZVGDAPDYQQEVEWHBJTYSIIHTODSKTZUGPSRJMXYYJHXPMHVVKQTYXQUSJNHYQZQHEEIYCEHYBHULFZZHXENIXDOKBGUDMMXIUGYCDGWTIWQAPILCMEURGHKCHTBYSACFQKEEOFBBBFSHLYZFBLOBPTBPXXNCNJENPITLOKXGAEGNXNKMVKCTUHYFOKTFWKZQJGRNSLTNYIUMMBIVYSUQAOGMJCRLADBCNRSXRSBECODHAEQIDXWOJCHUMKNHOVDIFCIGKXXEKVGJAVAIUQGIEZYJXEENDDMGBREBGKQNMKDPWBWIWOTJWDFSUZVNNBEUCOFCHDQFURBVTTHHVCBKSMKJZQSJUHHVUNGQXUDECZZPMDYNJZRZGNFJSNXSBQNLERYCBOKUKDPJAOZYIJRPMKBCBLFJUOPKOTFSLJVUAYLWGAYIEDAJHNBQKCPNGZGKQZTDWRZRVNCSTHMHJCJDQETMNCQODLKCGLEYHHZDSYDDSDTIVHOMDSEAVDCTACFUSIFDYVJGZYGQXMVFGDSDMTKUYBDZVGOKXOLDWDDCBCIEOAJIIZXSQOFITZECHWXJRWFVJBTLAXIWSGCIPXLGSUQIAZGZJOUBVDHLGZOSBGCQLSOXRQNULKPDSGWLWCAOFVHAEBLHAJORVGXATBAMNXTEFHMQXCCFFFRBYHAXEJNCRREJTGFHPTIBBDSFDUJAFCNSXPPARGGXXKEUSZMQVPYIZVJBTHSFEHVYIAFKNSTZURQWKZRVIZQLZZGKINNLQFWKWCQHOFDDDDLZQCRDKNZYCIDPRWMGIRMIRLIPWTIEJAOLUPZNEUZIMTOZKSXCPHWBJMHTBFMSSOZCWTSIBYOFJDIMADIHJMRKVZLYHVVRCCSYUUAPCAVTJHQZRBUYWENEPMYSMANWQGLMCJHCYFWRHHEVOLTRMTTWPDSPQDUBJFMZGUKZGRWHBYTUNRJUHHFUUSTDFQYEOGRXAOERFYFWIXSLZTDGDRLWMRTYNOVLSNQMOHDVMRBICPVFETWZEJBFQKKFPRDTFAWUUNVQEYZZFTKLDDYIEHPYRSQARRZDXIDHQNTMUXSNHBOAGGDVVBTMUDEMECZSTTXQCFEG +Case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ase #155: WSDESTZNTHPXBACATBHKYELWSDESTZNTHPXBACATBHKYELWGWSYZMIKITPCVQQBYXBKBRJCYGQYCTIHTLSOOTDBDTDXMQHNIWQKRAROLWLDDGQMHSVGRRSAKTRUUDLUTSQCGDNTSOSAXTVOYWFUQXCRJFRBNSFKQXUIFNOOSDNHJKECBGWDQTVJZRCNIWEUZGURYTWXFXERESRFPRTPCBSQYCGWOXAJYYVZGLEMBOUUKTYZPKYSMKNDYPTNAQDEDXLUQXJIOONDOYEGATZABZRAVYZEPLDDFHEIUCSNGGSLVIUZMTKPODPQPDQJYGNKMTTPBLNDSJRIMDUWGMXDEMHUTFDWYZPWQFYDRCKJULSOSKFPQIFAGGEZVKJTTWJWDKZDTSBZPNQLOFETGIJFHYBARBCWKDAHPOYFFSLAYBBVFKMQDKKMUZNQXLSVCFPMVXKKIIQIODHSPBCTVNDANKOADUZQRVNZREROFSMZAMSEBYGNBHPPJZRQOWHDKSXUIOLTANWMOIWSEFSVEUFDJIZVMVNGRWBGNPPCWSXDRWCFLVNSWEGLZQUDZCXVMLNGTRLXUHGIBIPTLDWPBRANIUFXTNFFQCEZTHDRFRHEQQLPYQSXGARCGIPREGSSYHPXZZQPOTDGZJWKLYARDCEDQCOOERERIVPVQLKZFXPJSQMUDJAEICPSYFVUCYACKTJAUMJDNBXGCZTOVQLFVSUJEWDQUBEKYVHHVTGZTUMTAQEKATEXKZYQRZKUYLKNJIICWONTQNFDYQCQWBZRRAVVPBLHGMGDIMZDUHYNPQBGGBEEUBFYYQTUWZJMQMGYTWONFJDHDQKNPCSOJPCIASDNJLBADKRRKWOKUARJNRNMNRMIAQNSVHDQJRJMLMKVQVIOPOQLXVNIMEQACGXUTSLBSGVFEUHQFKYPIPIZQIMLKYFABVIJTOKLKJJAKVXCXRJNWBURTGMULAQYOUEVLAKHKIYOBYHQSDYXTMYMSXWPXCQOKWHBDSHPWSOUBYOTRUVVJYZAILONBSVSQYRWZXIYEYPUTOORAWDXITHILGEJXHZKZAONVJTOHEIFDAVXMIPAEJMQTAEMBDUWYMBHNQQXBCUFRKFEGLRABEKJVAOJDYEBLGKPTXTEZNYJSGFGZUIOZOVXEGYRPPOFDARWBFNNLCFRBUMQZXPUVGGUAVUPWJZLLMHLSCQBIXZIODDUVKCPHCNOQGKGSOQHMRLFBAMWRJSAGLMXJDYBXGLNXZUDFQNILFVLZWCCIIJJVQIFBUSXKVAFOQHVBWAGMJCSYOEVMDSQBREXLDRCGBAYMYQZOWJDEIDEJEGVUPLPPLGNFHZDKKYGQQNLKWTBYCTMWTHIPCCWPGWZQSOBHWUPGWJCCNJEDSQMHOHYCIQEICOBYTURNRGTFFUYIQYSCMRFENKBIMAKTEEZMHUKQJM +Case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ase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ase #158: RUQOKTBSXCUDSAGNUPEYTVMGXIIJFIZLGRUQOKTBSXCUDSAGNUPEYTVMGXIIJFIZLGRNYITWOFSGMBGSSVCLNNBMXWZUNWGVKSXOSVCGHIEFNUSJMVJRGWYUPDINTETDESREBZZHWHJXRPFSABWLZICRZPFOUWJTFXIEZLDBFMRJVFPELYRQJYVJHHOAJCOIERWADDKRNAASWOLANDZSYZAREQYDKVXJDBXSBXIZFEJDNWXFDJZYBQUEFPIUORWFKGQJEUQPPBXHVPRLYAQRNNPNUSUQDZDCZHKDDKCISETUZFSOAFCDFHDICWKLATWYTZBEUECIBQZEWPZMSBXTIIZLAYTADOHDUMFCGPPPOSZKXHYBQFOMGHLQMVOORJOQJZJOZBAWFGCJHRVUQUBRQJWGSKFSLEGPJRYDHYJXWWFEHLBFJCFGGGXBADTGKZJOKFIOTLUWRMOQJTCYNKXYTNHXERPKGFNGMMYRICEBGFEXWQPAHXBGSTJNEHDSZLARDUTLXVHHRXDSCMIXHKOMGOYPIODPKTJNIUPTJEVSKFDMSDNOJCGHRWPPRTAPQKHJQBKVBNRITQOFERRFHIBCGBRSKYNAZFGDYIFMAAYMXXYSRWAUNWQRAVHGDMYDVYLLJMLFTMMCNPXATCPBTVWDEJNJLOMVZKUUZDMYHHHQBXHDWNPCAWKXQTQGTTOJITZYCUJYEVQBCNSQZIEIQFYRWNOXBCGNRYFTAASULKYLIWQYOFKQOQIUVURQMFYQIOTRKUFCWQHIXZSPRYDOOUSXWQGXWTNTAADNAVWVYQVJSYQGCIKCYXWMWQWXFXUABIJHPWXYHQBYVMDURFYWFQIKQXZGDKTGEPUZJUIBOCZHHHMBDQROJAREGPLKIZXONHQCDDBNXQPZAQRSSJNLRZXAKCZOQJHRJMLYFISRMCEWWJKMOKYZCYLXHJPSTEFLTIQFXUTGARIURYWBOZHNQNQEGTDYRXXYEZYMJPRAFJRCHGAEHFDJXUAEMCOPQFADHILTZKMGPVFOSZOOCUQHRPIWJZPLKZJYXJHSTDLHVGKUZSFNVPVWGKEUKNAMBOOPXQVSRWJLODOUITUGTJQKMQDAFMBXTYLMYJPFVRERANIXQKPGFFFJPLATTFTMGITUFWRZROOGZUSZXWSKOTVLLQIESTSPXXNUBUQDPQUMKTICBBIBYEMBQQSKXOUKQWFXJXRPLBLMDIKXXGCRVONBDAWEVQEOCMCRHVQPPYEJCXLIBTYYENYVFBIKJNFRUQJHEMTODOXBYNOVOVZLETBQYTQQYXBVII +Case #159: Impossible +Case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ase #161: VGZSMJJFWTKLHYBLDRSQOADVGZSMJJFWTKLHYBLDRSQOADVOYXDQILULGKDXIFQSCTEPAPQAOAYLWDLBBSEWGWNDRHBQPSGHEZEWHGXTHERAXIQNMWYRVRCUDJJBQKTLJDV +Case #162: QGXSCORBTAKXLHFYXBHHUCMNXHBBUIHTMAMFYRDDIKURZEYDYEMZOXLTXZBHUQGXSCORBTAKXLHFYXBHHUCMNXHBBUIHTMAMFYRDDIKURZEYDYEMZOXLTXZBHUQCWHLNHGPDQKEFSBAOMYVINYHUBPPHVYRFPQQLWHKXRWQWDVXFJZXZZMRPIEBKPYRMRPXCEUBIPSTNPBJZFJECPQFDKICKXTUDRCCSMLDICMHZFMMXTRPCKTDGXLJNOHUXCBSSAIBVYVHKDATAGZDIOAQEYJBWSUSMCXUOEQHWGQMUQKEQXGKQNNQYIUSCVNSJSMJCMYLPMDTMIMXYXTZSYEHGHIXUHNWYPXSHALDFCFRNBGXXUCDFOQKVIUZQOUTHFZXJDGNXUGAOABYJVSRWLGVUQJMFCWFZJURZVMMBHWGOHGYRLLZSEEOXWEDVENRKXKRFMZRLXTIRNJLNRIPEBEFQDDZSCKDZYATAOQHPPEHRFEKQAKKWELIBQKVFACPXKHLMDDIHUISBGWECUFKSKPGKLODWITXQNBGSKEEZTGUKZREGKJVJXUYFZJXVURFNPXWLPRLFKNVVAOCYTVFBQFGWFGBZHBALTQRMWZEJKHAMIHWKOAFJSBILGEGZVPJSJIHUTLKXXZOQDYWIIWYTUUCUXVKCCVGAWBAIMPYZPPZNFIJALOTGHIKWOIHJYRXPTEMHDSEBPSSOGEUAGEEEFKPGKFMGJFKFNSPLTKYOEBIPOWIKZLEEPEIKIZYYXDDJWJBAAFACMKBJWUFRISABVASLTUWZXBZMNGIJAEBQOIKDORBFRLAMJHHTEQOQJCAOHDUEFXXQPHMWQLWVGFVUZKTUKJHEXNFSJKJJRHQBCLTLASOFYMKIEJGTTMUCKJAPYHDHRGVTCQMRQXOVXGORQKXEWFHAFFJZLDAOLYGKYMOBPTFUWCPSXAHIUIRJAMSBPTQLPWJYCTXGRGLUMZPMHODVWHXIIYNFKCQXHPEVBAKDIISITQOQMFTVTNGQNOLRJLOXPNEZEIUCWIWHYBRRUAZOPRGVTGDBDSANZUCKMAVGFYXDWAYUVQZKPGVFXKFLYEVLMPJIGOSRRAGMEAZYCZVHCKUDRRZBRNUASWPLAOWUPBVGPYBDDTKNHJFGEJVXLAGDXSUJTCLDZKMDQHLAEKRJFOUVTDRJJIRZYRQWAPOXHHYXUTIWMMGHUWVHFDITARWDEPAIEACIIWZURITAXVPOBGRQPPHHVAYNVNNIEKAJTAFECHYQADKYSQZYNGWRDRXJCACKQSTKADFXMODMUZDPZGEOMHUFCEIKDMVHFIBEKOFKKIRFTDVIGXQFGCEPBBEDYPUTYUIIREVKNSZFFHAXMYKKRXNXHSCPMWVJIOHVTOCJZOYYZMGLPJFXLFJQJPAURXYZOBXIFHOYLNLFLXGTLEVDXQCAE +Case #163: ABCABCABD +Case #164: ABCDBCDCBDCDABCDBCDCBDCDADBCBCCD +Case #165: LBETYXFTXYIQTBYMNESDZCEKGQYCVKMSZTEMWEJJCPBSJQEDTTBRGCWZCVYYGQHILBETYXFTXYIQTBYMNESDZCEKGQYCVKMSZTEMWEJJCPBSJQEDTTBRGCWZCVYYGQHILHTGHBSWLQDMFIJEAQGOLUNMGLGQCZCAVVNPSOZONIDRHKSHVCRIFGYHGSWQAMGZESUAHXPHVSPNDQHFGEVFWMNOVSIRPSQTHULTEOUXNRRCYOPRLDGUOATALMSIZLNFIPMLZHWKYKQSKWOVPXRFKYPWGTFVWVZSTAHVFWKYJDAQFQQCSXPQSKYHRILWSWLAVKQJCNACHBLLPETACLJIWDLGRGOIXUVPUAPXSOVUUBXTJOEXZYANVAUFUGORMXPYYXATKQGNLAIIRWJKJSEFNVMWHLDUHXVEFVKEUTEWVIENZMXSUSMWCZQDJBDPWQDXTBPVCOKNSWGYMITUKPCOBSPRVMXYGWOTENRIHDORNASBMECONICFOPSPYFDQACWDFIATNLVQDTGEXVYODAYHXEHEISVRMZKOXNAOSCKAISUPMFKUSMXHWALQNOSGDLFNSGKWDCHLJIMCBRXGYVNWKRRDMZRIQXXCRMIAEJZXNODFUJUGYIZRPXQLWQQXSVXBQBMSTQAUAOVGYQEVIOKHFMFGENCTXBKUKTKIVXYVNCEZNYCPOIFDJAFKVVVUJCJBUHSDURSPZVUYPOBXLXVJVZEGXBFHMKPSMEWYKCHSGTNPOPBOYPIUPLZAHGXJQWVKPFBPOGTWJORHXFFGZRLOYMZBXVDQAQUJWRHMAYYTNFNIWQKEFNIBSCTOOHAKJWCOABMBEAQRBWPIFUOGRCFCBVANRJVVVGSGIUSXMVWAJUDIVXSMMUHHQBWHCKJMQONVENHHXXZVOJKXEVSOVGMTHLSTRZBSAOVFIZCZDMNZBRPRXKAAIUDVULTRGPBHHWDXDXDPUDKKURGKCDTSVMHQDUOLNDGBCPJYCGSYZYXEEXCIZJMHPXMPNAQISZIPTPWNKMXUYWKTLNTOMODYHSELDSUEDIRMCFQIOCLPZTOFEUJRJXIAYIYASSUQWSJEKHJBSOCVVCUSERGNPLBFDSMYUPDRLSQXRTKVBLJMSBMPIRVHPMNZWVQZMSWBEEDLUIBJBDFCIWPZVVOVPPVROUENHXQRXDGXDQKDHRELCDMKLTHRCMDXELQWFMOJELZAKGWVKCWUGWIYXUMGVHJAEKSMGDCCTWHSHLSZUNCEQPCCGAFGXULDNMNSBKNJAPXXQJWXRAEAYGLJCYLPAXSUMRVMHPKWDTNKWQKLFTOPNTHWDEKCICNATOYMEKGPFZIOYSDSKOCULMTZOXWGHJKZUFKTKGOBYEKVMZHJPPQPIGMINZDJQWDDWLRHTSUXCBDJGRCMDDYKJOXMUNXBDFZRXMKIRMZXAHXWEIUXVTXAWUDUZBYFECUWFJVVIFYCVCXHMFKLFIPGRPYKNCDKMPPRAPIBOSSNYOZHHBKLOTCWHTLKXFMCVEFSSHFTMVQMJKRWRIPSTPQGERFJUVPFGTAZEPAUSZELPKBATFEYNAPTGVVYIBCZPKRSWDLMRINXHRFQFZGPYPSLUSQTWKJXBYZPIZDVZGKBDNIM +Case #166: OGOGONPOGOTOVNOSTI +Case #167: KESOUZBYWUXUBAYGQGYWGRKESOUZBYWUXUBAYGQGYWGRKUANQEOPWSCOVRADCTNFCCMZMYIDWPUYKHHTZYKYSUIWGWORSKRZBQRSDVQTCITLRBBGMYXNLCJAIVKHRXHUJEY +Case #168: ALALACYNESIRNDZPWHBDKZBIHMZSJWPIGZLQGFCMZAPELMBSOOSIYAMMQUHMHRRCRDGVZUHLHPPGLDXUDCEBNBJVTXYLGPWHEHZEIZSEALYIMYWJPZPYIRDHSKCHLGTEVNVNJIYVOYGJUDZNHISYKJLRDEVJDWJACQCICYWDKNNIVOWEODITFIIZRBJUAAZPQLLYPEVCGERPDEURMKNTGYAZBHALEOCWTW +Case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ase #170: IAOHYEMSZMYENUFHBLZTCEWMPEIAOHYEMSZMYENUFHBLZTCEWMPEICRFAGQIQCNKVWZFGZPIVAGRBXFDGISVESFTXAFRSDKPXRURIHQVJDZPRAXJTZKBSKTLEWHTENRSGCQWSEVOUOKQVPSEYQLOHQKJJLHVTCNHTSPPGENCJRRUPOMOCNIJIYGFLDPXUFXJRAWOFPZLWBRDHGQSNTDHZQIPFCJWYIWPDYDDJLDACLQMYXYPIFCMVCXIZDRIJUTRQVKBWPKLKAOZMETZGUNUJQHIKDDXZLLDQBNNQINEOCGTRLSNPLGDRLNDLFVWKGMGBZAXEKDPBQELSJOBULRGDJOHMOESFLXTOXEZOIRXUMCZJYEGSNKEFFFXOHUPNTZYIAZYCKFPSDANOMMHDQANNEPMCJTVZUAYUMZETPGIXLKBFNTYEVBPSUZDZZOHJYYCJXAZTLHJTTKQXDSPQYVSSIUKVQOBVROCTIGSSPZCICIKRMGDXDGRWRIBQYLVXLYGVSVIPPTGLVPFSCUZARPZGPUFAQYCNOXLVMBZULMXOXRLCDEHUGGEGYXHISJBWCOKQVVXBROUPJMCDZJGAGFLRMDUGXAQBCTXVKNSTBOGXUSQHWGTILQABHDGYZTBAQPIIIPXONZFTDNVNPAMXKPNQHJVNDPEXZKMRJCXYLLAGTSEEUINGBZPSYRIYAEAKFYWEHJSXLXDRLZGBGKFVWDMBOAVGDSWHOKUTRKRMEHEYGSIEVVBZQBJQRFXMFNANDFTCUCCEOFNXOPFHWYRQSMGUAETGLFRICRSPTZNYWGIVGWUEDOGLLXLFBKDJUVXEKXDWAEBUQHBFWMBDPARNWCDXLMADHHEWSWHBCZACGQXGLTTHZWUHCAHOGVKNTHHAAZGKJHTMTZXRJTMHLLLQISLETMYENZOSMLEVHZEVRUPMTEQWZPVCDOVQASNMCJULQHDYZRRGRWZWGIUELGTMGCAEVLLWJLBESZHJTJPQCIXENUIFZGPDBUCQAOQNJJPQGGYMXQVRKKPEDCBLLLNLHCQRDLTMOGDXIRDDKXHBHQNXDSSBVUWGQRALFKZLJAEEELFPTMJCFYGSUWTAJFJTNDMFEHMJKRMVEVCSVUCMGTJFPMMHJLLIICVTIGNDYUTLHPMQBECYIKGZBKZCGLUBGOYLVFCNBNGMIIROJOHIXJVFHBBRDKWSYOFYMLWMUTZSXLHDHFEKAGYJONXUOIYKDUQFVPQHMOPKHJWGOTIDKEDMQOVSMQHUVHEPCLQQAEACWHBNAFLMDHADGAVXJMMNUWTZVRBINBACOIBNFIBHWCUYSLVLBYZRDEVACKVOUKYCCOWVARVVAYLQTCITZSADNKJROYWAEVOVKGYXDSXNZJAMVXTPHHMKROIERWJJQNDDXRTKNEXQWMSYPOIDOZDVCPMLCXHSLAUCHBVTNTPMXNDDLTHRKGMIAPTTKTRSIAJRAEOJKDJBKYMCMGBMFNSXZOSHTXRUCQQAIRFQKCAJGJVGOBVVLZBOUIJLMDXAPWLWVAKITCHYDQZNIDTPWECTBUCEOFUOKMNDZMGMOEXJWCFHXMHIQELBFCMRJGPLNGXOIKUKEOVNXNYSOQXSMRXDWFUXDJLCBGTITEAEGOXIYIVJMLSHAGTLDMYMGUIAACHOYLFAHALGBUOGTJBMXMDCYWYECCYNPIFKGRXJVQKTASDNZHGCJFVOUQBLOUMSTNEMTEGWWZYVMDSZPHNSYFESVWLUVVYYZTHFNJQIVLXRTBMXJNPSLHBXLPZJRYXZNUWDTLLVTWQFUVLIVTBUOTGOPDHYJUIEZZFORQLKHSSHFQCLUREGYRKOOCNKAHVYIBDXSTZWJNTIOYACYSVUYHFZNBMFEWRMPSHKNRYTGVPQGGTQUEDBOOPLFILNIYIYZBLVKXXAGHOCXUTIMFIWEEKZCYCKMSHKHYNYRGKMFHDAOBFKPJDWQABGOKZDFHHZTRCNYNNYCFFOKFIUDKGBGRTXANZZRVQZLHUBHED +Case #171: QBUGRPRGCEWASEDPJEZUSAEOKYYUHGURBUDGZBCMSYFQBUGRPRGCEWASEDPJEZUSAEOKYYUHGURBUDGZBCMSYFQMPKSUUSUFNBZHKSXXNTIMPYHWRVEBPQYHRWQCODRLUUFAONPUWBQTMSQMITAQYLYNSRUSJNCEDRKNDQKUDIRSVLFDRWMFDHKTSTOCOHRXUIFUIQCNPAOCZWESUGDKCYHOIWTEUWUEOHTUBXQSCTYAKVHWTHVROVDAOSZNVIAPOAMSCVMVMETPWXGTUPJWWXPZEWSOSZUOWHPRKFUSBVNAYXOLKTUJNNSQAIRAOUGXJQGPGXOPRXUPRQXGCCBJYLOHDXNDRWNFOZCIVHEBBBHCUINRHSRJRDHKTIWLISDZUPBVQMWFCHJHGHERSMWCHUWMMHXNOGBGZWHGVGAJAOGZVKMMXQRKYHBGTVFSDRFAHNFGESXOJHAHTAQXUTPDNWECYHZGCKGAYKJOOOJETKUYBTIQVTPPTNXOWXMJMARBHYKITZIZCDIOQFUFMNODONYAZLNNFVIMAVGTNVTELCHHNPEJHDGCFDHNJJESEKRQVBZTCJJMYBAAVQEKQZKRJEFQMVEMKRBKPEUVLGMPKGDYOJLIMBVTNOYTORMUANXXOPVPPTDBRVRCDMQEBJGWHSKGWVJRGZLIENPOJLGVBQYWJOJNQTQAAKZCDQUPTCSACIQZTRCXDJOCOJSTTHXRJXXGTZZQUHGFQSRAMMN +Case #172: KTEJFANZWFOWKTEJFANZWFOWKAICSMGKOGQKYZEBNWKAOGKIRVTDXYNABNLMGZTUKDBJKCLLUUELMNOSRLGAHHLRWDQPNWAEDKAOPRURDACPYQSAESYEQMEKGNTULAORJVPHPFKQBWUYOLXMZLMAAPZKFEEIGRHQDFNORLLOESOGGOWKBCKJZVDZONSOCOEPKKURNQDQMQZZQCYVMPSAMUUGBQPLTCIGNFOEGHCFQLGKQHVAGCDBNBEIRCIKMINULLCMAFKHXDBASYBYKVROZQPWDFPCAVFFDXRRAXLJKASQTOZCIMETCYTXCTEVDHTZQXDPYPDETAMEJQTEIPDWLEWZDVZZGDGIJSGVXOUQFCBMXFKXIBBYKWZZTFCKNIQPJATJQFESFGWUFZNBXQQUHTKFTMWOGTWXFUCZJVQVEPBDEFYDLMMVSACYFLWMKHVPKJGQGJIVAWWCQCYWGQURZMQNLWDKZYNDXJLSFLTRYSUGYHJALEPKEOWESHDGSJUARVXNIMJSKCEPFDMTPPFQXJVEQLHBDJJJGWTQVBJMRGUFNYHVVPOUEYUILWPJIVNORWSPIZEGKDOGQZFEQIVTFVFPQYNVDEQDKFUG +Case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ase #174: KQDQGBINMWRDROTQUDLWZKQDQGBINMWRDROTQUDLWZKDDFUSZJRLSMJXIMMHLXSEZACENINJGTMAPWGKJOXXSKOHPEWH diff --git a/2018/quals/interception.cpp b/2018/quals/interception.cpp new file mode 100644 index 0000000000000000000000000000000000000000..ed6c3981467e50694404b1bd422c4844fdb8aad3 --- /dev/null +++ b/2018/quals/interception.cpp @@ -0,0 +1,112 @@ +// Interception +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N; + int i,p; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + Read(N); + Fox(i,N+1) + Read(p); + // output + printf("Case #%d: ",t); + if (N%2==0) + printf("0\n"); + else + printf("1\n0\n"); + } + return(0); +} \ No newline at end of file diff --git a/2018/quals/interception.html b/2018/quals/interception.html new file mode 100644 index 0000000000000000000000000000000000000000..7f65779dbf85489de54d57a9736b0f82648484d3 --- /dev/null +++ b/2018/quals/interception.html @@ -0,0 +1,61 @@ +

+Consider an N-degree polynomial, expressed as follows: +

+ +

+ PN * xN + PN-1 * xN-1 + ... + P1 * x1 + P0 * x0 +

+ +

+You'd like to find all of the polynomial's x-intercepts — in other words, all distinct real values of x for which the expression evaluates to 0. +

+ +

+Unfortunately, the order of operations has been reversed: +Addition (+) now has the highest precedence, followed by multiplication (*), followed by exponentiation (^). +In other words, an expression like ab + c * d should be evaluated as a((b+c)*d). +For our purposes, exponentiation is right-associative (in other words, abc = a(bc)), +and 00 = 1. +The unary negation operator still has the highest precedence, so the expression -2-3 * -1 + -2 evaluates to -2(-3 * (-1 + -2)) = -29 = -512. +

+ +

Input

+ +

+Input begins with an integer T, the number of polynomials. +For each polynomial, there is first a line containing the integer N, the degree of the polynomial. +Then, N+1 lines follow. The ith of these lines contains the integer Pi-1. +

+ +

Output

+ +

+For the ith polynomial, print a line containing "Case #i: K", +where K is the number of distinct real values of x for which the polynomial evaluates to 0. +Then print K lines, each containing such a value of x, in increasing order. +

+ +

+Absolute and relative errors of up to 10-6 will be ignored in the x-intercepts you output. However, K must be exactly correct. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 200
+0 ≤ N ≤ 50
+-50 ≤ Pi ≤ 50
+PN ≠ 0
+

+ + +

Explanation of Sample

+ +

+In the first case, the polynomial is 1 * x1 + 1 * x0. With the order of operations reversed, this is evaluated as (1 * x)(((1 + 1) * x)0), which is equal to 0 only when x = 0. +

+ +

+In the second case, the polynomial does not evaluate to 0 for any real value x. +

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+11 +3 +8 +5 +11 +-47 +20 +4 +28 +-20 +13 +32 +-41 +3 +33 +41 +32 +23 +-28 +-31 +-1 +10 +13 +24 +-12 +-2 +30 +-9 diff --git a/2018/quals/interception.md b/2018/quals/interception.md new file mode 100644 index 0000000000000000000000000000000000000000..adfaf30caebfd20e1d2d2f58fff5bedc9ebb6d52 --- /dev/null +++ b/2018/quals/interception.md @@ -0,0 +1,48 @@ +Consider an N-degree polynomial, expressed as follows: + +**P**N * xN \+ **P**N-1 * xN-1 \+ ... + **P**1 * x1 \+ **P**0 * x0 + +You'd like to find all of the polynomial's x-intercepts — in other words, all +distinct real values of x for which the expression evaluates to 0. + +Unfortunately, the order of operations has been reversed: Addition (**+**) now +has the highest precedence, followed by multiplication (*****), followed by +exponentiation (**^**). In other words, an expression like ab \+ c * d should +be evaluated as a((b+c)*d). For our purposes, exponentiation is right- +associative (in other words, abc = a(bc)), and 00 = 1. The unary negation +operator still has the highest precedence, so the expression -2-3 * -1 + -2 +evaluates to -2(-3 * (-1 + -2)) = -29 = -512. + +### Input + +Input begins with an integer **T**, the number of polynomials. For each +polynomial, there is first a line containing the integer **N**, the degree of +the polynomial. Then, **N**+1 lines follow. The _i_th of these lines contains +the integer **Pi-1**. + +### Output + +For the _i_th polynomial, print a line containing "Case #_i_: **K**", where +**K** is the number of distinct real values of **x** for which the polynomial +evaluates to 0. Then print **K** lines, each containing such a value of **x**, +in increasing order. + +Absolute and relative errors of up to 10-6 will be ignored in the x-intercepts +you output. However, **K** must be exactly correct. + +### Constraints + +1 ≤ **T** ≤ 200 +0 ≤ **N** ≤ 50 +-50 ≤ **Pi** ≤ 50 +**PN** ≠ 0 + +### Explanation of Sample + +In the first case, the polynomial is 1 * x1 \+ 1 * x0. With the order of +operations reversed, this is evaluated as (1 * x)(((1 + 1) * x)0), which is +equal to 0 only when x = 0. + +In the second case, the polynomial does not evaluate to 0 for any real value +x. + diff --git a/2018/quals/interception.out b/2018/quals/interception.out new file mode 100644 index 0000000000000000000000000000000000000000..1de67520fc4aa47b2761032112d74690da62e121 --- /dev/null +++ b/2018/quals/interception.out @@ -0,0 +1,462 @@ +Case #1: 1 +0 +Case #2: 0 +Case #3: 0 +Case #4: 1 +0 +Case #5: 1 +0 +Case #6: 1 +0 +Case #7: 0 +Case #8: 1 +0 +Case #9: 1 +0 +Case #10: 1 +0 +Case #11: 1 +0 +Case #12: 1 +0 +Case #13: 1 +0 +Case #14: 0 +Case #15: 0 +Case #16: 1 +0 +Case #17: 0 +Case #18: 1 +0 +Case #19: 0 +Case #20: 0 +Case #21: 1 +0 +Case #22: 1 +0 +Case #23: 1 +0 +Case #24: 1 +0 +Case #25: 0 +Case #26: 1 +0 +Case #27: 0 +Case #28: 1 +0 +Case #29: 1 +0 +Case #30: 0 +Case #31: 0 +Case #32: 1 +0 +Case #33: 1 +0 +Case #34: 0 +Case #35: 0 +Case #36: 1 +0 +Case #37: 0 +Case #38: 0 +Case #39: 1 +0.0 +Case #40: 1 +0 +Case #41: 0 +Case #42: 0 +Case #43: 1 +0 +Case #44: 1 +0 +Case #45: 1 +0 +Case #46: 0 +Case #47: 1 +0 +Case #48: 1 +0 +Case #49: 0 +Case #50: 0 +Case #51: 0 +Case #52: 1 +0 +Case #53: 0 +Case #54: 1 +0 +Case #55: 1 +0 +Case #56: 0 +Case #57: 0 +Case #58: 0 +Case #59: 0 +Case #60: 1 +0 +Case #61: 1 +0 +Case #62: 0 +Case #63: 0 +Case #64: 0 +Case #65: 1 +0 +Case #66: 0 +Case #67: 1 +0 +Case #68: 1 +0 +Case #69: 1 +0 +Case #70: 1 +0 +Case #71: 1 +0 +Case #72: 0 +Case #73: 1 +0 +Case #74: 0 +Case #75: 1 +0 +Case #76: 1 +0 +Case #77: 1 +0 +Case #78: 1 +0 +Case #79: 0 +Case #80: 0 +Case #81: 0 +Case #82: 1 +0 +Case #83: 1 +0 +Case #84: 1 +0 +Case #85: 0 +Case #86: 1 +0 +Case #87: 1 +0 +Case #88: 1 +0 +Case #89: 1 +0 +Case #90: 0 +Case #91: 1 +0 +Case #92: 0 +Case #93: 1 +0 +Case #94: 1 +0 +Case #95: 1 +0 +Case #96: 1 +0 +Case #97: 1 +0 +Case #98: 1 +0 +Case #99: 1 +0 +Case #100: 1 +0 +Case #101: 1 +0 +Case #102: 1 +0 +Case #103: 1 +0 +Case #104: 1 +0 +Case #105: 0 +Case #106: 1 +0 +Case #107: 0 +Case #108: 1 +0 +Case #109: 1 +0 +Case #110: 0 +Case #111: 0 +Case #112: 0 +Case #113: 0 +Case #114: 0 +Case #115: 0 +Case #116: 0 +Case #117: 0 +Case #118: 0 +Case #119: 1 +0 +Case #120: 1 +0 +Case #121: 0 +Case #122: 0 +Case #123: 1 +0 +Case #124: 1 +0 +Case #125: 0 +Case #126: 1 +0 +Case #127: 0 +Case #128: 0 +Case #129: 0 +Case #130: 1 +0 +Case #131: 1 +0 +Case #132: 1 +0 +Case #133: 1 +0 +Case #134: 0 +Case #135: 0 +Case #136: 0 +Case #137: 1 +0 +Case #138: 0 +Case #139: 0 +Case #140: 1 +0 +Case #141: 1 +0 +Case #142: 0 +Case #143: 1 +0 +Case #144: 0 +Case #145: 0 +Case #146: 0 +Case #147: 0 +Case #148: 1 +0 +Case #149: 0 +Case #150: 1 +0 +Case #151: 1 +0 +Case #152: 1 +0 +Case #153: 0 +Case #154: 1 +0 +Case #155: 1 +0 +Case #156: 1 +0 +Case #157: 1 +0 +Case #158: 1 +0 +Case #159: 0 +Case #160: 0 +Case #161: 0 +Case #162: 1 +0 +Case #163: 0 +Case #164: 0 +Case #165: 1 +0 +Case #166: 0 +Case #167: 1 +0 +Case #168: 0 +Case #169: 1 +0 +Case #170: 0 +Case #171: 1 +0 +Case #172: 0 +Case #173: 1 +0 +Case #174: 1 +0 +Case #175: 1 +0 +Case #176: 1 +0 +Case #177: 1 +0 +Case #178: 0 +Case #179: 1 +0 +Case #180: 0 +Case #181: 1 +0 +Case #182: 0 +Case #183: 0 +Case #184: 0 +Case #185: 0 +Case #186: 0 +Case #187: 1 +0 +Case #188: 1 +0 +Case #189: 1 +0 +Case #190: 1 +0 +Case #191: 0 +Case #192: 0 +Case #193: 0 +Case #194: 1 +0 +Case #195: 0 +Case #196: 1 +0 +Case #197: 0 +Case #198: 1 +0 +Case #199: 0 +Case #200: 0 +Case #201: 1 +0 +Case #202: 0 +Case #203: 1 +0 +Case #204: 1 +0 +Case #205: 0 +Case #206: 1 +0 +Case #207: 0 +Case #208: 0 +Case #209: 1 +0 +Case #210: 0 +Case #211: 0 +Case #212: 1 +0 +Case #213: 0 +Case #214: 1 +0 +Case #215: 1 +0 +Case #216: 1 +0 +Case #217: 0 +Case #218: 1 +0 +Case #219: 0 +Case #220: 0 +Case #221: 1 +0 +Case #222: 0 +Case #223: 0 +Case #224: 0 +Case #225: 0 +Case #226: 0 +Case #227: 1 +0 +Case #228: 1 +0 +Case #229: 0 +Case #230: 0 +Case #231: 0 +Case #232: 1 +0 +Case #233: 1 +0 +Case #234: 1 +0 +Case #235: 0 +Case #236: 1 +0 +Case #237: 1 +0 +Case #238: 1 +0 +Case #239: 1 +0 +Case #240: 1 +0 +Case #241: 1 +0 +Case #242: 0 +Case #243: 0 +Case #244: 0 +Case #245: 1 +0 +Case #246: 0 +Case #247: 1 +0 +Case #248: 0 +Case #249: 0 +Case #250: 0 +Case #251: 1 +0 +Case #252: 0 +Case #253: 0 +Case #254: 1 +0 +Case #255: 1 +0 +Case #256: 1 +0 +Case #257: 1 +0 +Case #258: 1 +0 +Case #259: 0 +Case #260: 0 +Case #261: 0 +Case #262: 1 +0 +Case #263: 1 +0 +Case #264: 1 +0 +Case #265: 1 +0 +Case #266: 1 +0 +Case #267: 0 +Case #268: 0 +Case #269: 0 +Case #270: 1 +0 +Case #271: 0 +Case #272: 1 +0 +Case #273: 1 +0 +Case #274: 0 +Case #275: 1 +0 +Case #276: 1 +0 +Case #277: 0 +Case #278: 1 +0 +Case #279: 0 +Case #280: 0 +Case #281: 0 +Case #282: 1 +0 +Case #283: 0 +Case #284: 1 +0 +Case #285: 1 +0 +Case #286: 0 +Case #287: 1 +0 +Case #288: 0 +Case #289: 0 +Case #290: 1 +0 +Case #291: 0 +Case #292: 1 +0 +Case #293: 1 +0 +Case #294: 0 +Case #295: 1 +0 +Case #296: 1 +0 +Case #297: 0 +Case #298: 0 +Case #299: 0 +Case #300: 0 +Case #301: 1 +0 +Case #302: 0 diff --git a/2018/quals/tourist.cpp b/2018/quals/tourist.cpp new file mode 100644 index 0000000000000000000000000000000000000000..739540951bc417bcb5b272def31f09b8fa5351f7 --- /dev/null +++ b/2018/quals/tourist.cpp @@ -0,0 +1,119 @@ +// Tourist +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N,K; + LL V; + int i,j; + char A[50][21]; + int vis[50]; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + scanf("%d%d%lld",&N,&K,&V); + Fox(i,N) + scanf("%s",&A[i]); + // find visited attractions + i=K*(V-1)%N; + Fox(j,K) + vis[j]=(i+j)%N; + sort(vis,vis+K); + // output + printf("Case #%d:",t); + Fox(i,K) + printf(" %s",A[vis[i]]); + printf("\n"); + } + return(0); +} \ No newline at end of file diff --git a/2018/quals/tourist.html b/2018/quals/tourist.html new file mode 100644 index 0000000000000000000000000000000000000000..7df930fcb7aef8e6cc7df7953b239d3a2d694feb --- /dev/null +++ b/2018/quals/tourist.html @@ -0,0 +1,57 @@ +

+The Facebook campus has N different attractions, numbered from 1 to N in decreasing order of popularity. +The name of the ith attraction is Ai, a unique, non-empty string consisting of at most 20 characters. Each character is either a lowercase letter ("a".."z"), uppercase letter ("A".."Z"), or digit ("0".."9"). +

+ +

+Alex enjoys visiting the campus repeatedly for tours (including the free food!). Each time he visits, he has time to see exactly K of the attractions. +To decide which K he'll see, he sorts the N attractions in non-decreasing order of how many times he's already seen them before, +breaking ties in decreasing order of popularity, and then chooses the first K attractions in the sorted list. +In other words, he prioritizes seeing attractions which he's seen the fewest number of times previously, +but also opts to see the most popular attractions out of the ones he's seen an equal number of times. +

+ +

+Alex has visited the Facebook campus V-1 separate times already, and is about to go for his Vth visit. +Given that he's always followed the rules stated above, and that he'll continue to, he'd like to determine which K attractions he'll see on his Vth visit. +He'd like to list them in decreasing order of popularity (in other words, in the same relative order as they appear in the given list of all N attractions). +

+ + +

Input

+ +

+Input begins with an integer T, the number of campuses. +For each campus, there is first a line containing the space-separated integers N, K, and V. +Then, N lines follow. The ith of these lines contains the string Ai. +

+ + +

Output

+ +

+For the ith campus, print a line containing "Case #i: " +followed by K space-separated strings, the names of the attractions that Alex sees on his Vth visit, +in decreasing order of popularity. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 80
+1 ≤ K ≤ N ≤ 50
+1 ≤ V ≤ 1012
+

+ + +

Explanation of Sample

+ +

+In the first case, Alex saw the LikeSign on his first visit and the Arcade on his second visit. On his third visit he sees the SweetStop as its the most popular of the attractions he hasn't yet seen. +

+ +

+In the third and fourth cases, Alex sees {LikeSign, Arcade, SweetStop} on his first visit, then {LikeSign, Arcade, SwagStore}, then {LikeSign, SweetStop, SwagStore}. +

+ diff --git a/2018/quals/tourist.in b/2018/quals/tourist.in new file mode 100644 index 0000000000000000000000000000000000000000..3f09bfa27ebbc27688790da4f03a2c45f588c672 --- /dev/null +++ b/2018/quals/tourist.in @@ -0,0 +1,3871 @@ +156 +49 47 350138265919 +HotfixBar +RainbowStairs +Sol +SweetStop +CafeEpic +LivingTheDream +ZucksOffice +TuringInDominoes +OculusDemoLab +LightningBolts +NailPolishRoomBlock +DentalOffice +Nanokitchen +PhilzCoffee +SwagStore +BahnAppetit +FreshOrangeJuice +FoxGazebo +VerveCoffee +HackerSquare +Ballpit +ShuttlePlatform +FakeCrosswalk +BurgerShack +TransportationHub +FukiSushiInOldenDays +ColdBrewMachine +PopUpShop +SonOfPingAndPong +Harvest +BlueBottle +ZucksOldOffice +MPK20Roof +ChosHawkerCenter +TechVendingMachine +SugarShack +WoodenSculpture +FoxPainting +Arcade +Helpdesk +BridgeClub +ConstitutionDeli +Microkitchen +SaintFrank +HalalTruck +LateHarvest +LikeSign +MamaPennys +WallOfPhones +36 3 225802032479 +LateHarvest +WallOfPhones +TransportationHub +BurgerShack +Sol +MamaPennys +Ballpit +TechVendingMachine +ZucksOffice +HalalTruck +Arcade +OculusDemoLab +BahnAppetit +HackerSquare +FoxGazebo +ShuttlePlatform +ConstitutionDeli +Harvest +LikeSign +SugarShack +SwagStore +PopUpShop +FukiSushiInOldenDays +RainbowStairs +ChosHawkerCenter +FoxPainting +WoodenSculpture +TuringInDominoes +BlueBottle +FullCircle +CafeEpic +SonOfPingAndPong +SweetStop +FakeCrosswalk +BridgeClub +LivingTheDream +32 5 244436814629 +BurgerShack +HalalTruck +BlueBottle +ColdBrewMachine +FoxPainting +SugarShack +HotfixBar +SweetStop +Helpdesk +ZucksOffice +BridgeClub +FukiSushiInOldenDays +LateHarvest +ZucksOldOffice +ChosHawkerCenter +ShuttlePlatform +BahnAppetit +Harvest +Nanokitchen +Arcade +LightningBolts +Ballpit +PopUpShop +TuringInDominoes +VerveCoffee +MPK20Roof +ConstitutionDeli +LikeSign +CafeEpic +OculusDemoLab +FoxGazebo +PhilzCoffee +42 41 468608570600 +RainbowStairs +WallOfPhones +FoxGazebo +Helpdesk +Arcade +Harvest +NailPolishRoomBlock +FullCircle +PopUpShop +OculusDemoLab +SaintFrank +MamaPennys +Sol +FoxPainting +HalalTruck +LateHarvest +FakeCrosswalk +SugarShack +BlueBottle +SweetStop +TuringInDominoes +CafeEpic +LivingTheDream +DentalOffice +ZucksOffice +SonOfPingAndPong +Nanokitchen +ColdBrewMachine +MPK20Roof +WoodenSculpture +PhilzCoffee +BahnAppetit +SwagStore +FreshOrangeJuice +ConstitutionDeli +ShuttlePlatform +LightningBolts +ZucksOldOffice +LikeSign +TechVendingMachine +BurgerShack +Ballpit +20 5 829891652384 +PhilzCoffee +VerveCoffee +Sol +PopUpShop +Arcade +MPK20Roof +HackerSquare +FoxGazebo +ConstitutionDeli +RainbowStairs +FakeCrosswalk +LikeSign +ChosHawkerCenter +TechVendingMachine +TransportationHub +FullCircle +FukiSushiInOldenDays +WallOfPhones +NailPolishRoomBlock +Ballpit +13 4 18421069720 +WoodenSculpture +MPK20Roof +Harvest +Nanokitchen +Arcade +ColdBrewMachine +Helpdesk +RainbowStairs +ChosHawkerCenter +LivingTheDream +VerveCoffee +FukiSushiInOldenDays +WallOfPhones +9 1 323147012697 +OculusDemoLab +FoxGazebo +ChosHawkerCenter +ConstitutionDeli +ShuttlePlatform +Microkitchen +Harvest +NailPolishRoomBlock +PopUpShop +18 4 716739244704 +MPK20Roof +FoxPainting +LivingTheDream +SaintFrank +TransportationHub +ShuttlePlatform +RainbowStairs +FullCircle +PhilzCoffee +OculusDemoLab +HackerSquare +Nanokitchen +Sol +FakeCrosswalk +VerveCoffee +LightningBolts +BlueBottle +SwagStore +50 1 2639726622 +FakeCrosswalk +ZucksOffice +DentalOffice +BurgerShack +Ballpit +NailPolishRoomBlock +Helpdesk +WallOfPhones +TransportationHub +PopUpShop +FreshOrangeJuice +SaintFrank +MamaPennys +SonOfPingAndPong +SweetStop +VerveCoffee +HalalTruck +Nanokitchen +LightningBolts +ZucksOldOffice +TuringInDominoes +ShuttlePlatform +BlueBottle +BahnAppetit +LivingTheDream +Arcade +ConstitutionDeli +BridgeClub +OculusDemoLab +FoxPainting +FoxGazebo +HotfixBar +Microkitchen +FullCircle +RainbowStairs +ChosHawkerCenter +WoodenSculpture +Harvest +Sol +LikeSign +TechVendingMachine +SwagStore +PhilzCoffee +LateHarvest +FukiSushiInOldenDays +MPK20Roof +SugarShack +HackerSquare +ColdBrewMachine +CafeEpic +8 6 814135220453 +FoxPainting +BahnAppetit +SweetStop +LightningBolts +ChosHawkerCenter +ZucksOldOffice +TransportationHub +CafeEpic +22 16 898110720203 +SugarShack +FreshOrangeJuice +RainbowStairs +Ballpit +MamaPennys +SwagStore +LightningBolts +FullCircle +PhilzCoffee +Harvest +HackerSquare +TransportationHub +ShuttlePlatform +FoxGazebo +NailPolishRoomBlock +WallOfPhones +BlueBottle +PopUpShop +LikeSign +HotfixBar +WoodenSculpture +Helpdesk +15 6 312735529061 +FullCircle +Sol +MPK20Roof +Arcade +FoxPainting +HotfixBar +TuringInDominoes +BurgerShack +ZucksOldOffice +BlueBottle +LightningBolts +WallOfPhones +SwagStore +FukiSushiInOldenDays +ColdBrewMachine +30 20 69311636468 +ShuttlePlatform +NailPolishRoomBlock +LightningBolts +MamaPennys +Microkitchen +HalalTruck +CafeEpic +BahnAppetit +PhilzCoffee +SaintFrank +BlueBottle +MPK20Roof +DentalOffice +TechVendingMachine +ChosHawkerCenter +FakeCrosswalk 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+CafeEpic +LightningBolts +Harvest +LateHarvest +OculusDemoLab +Arcade +MamaPennys +LikeSign +Helpdesk +SweetStop +SwagStore +RainbowStairs +WoodenSculpture +FakeCrosswalk +ConstitutionDeli +SugarShack +ZucksOldOffice +SaintFrank +FoxPainting +FreshOrangeJuice +HotfixBar +TechVendingMachine +Microkitchen +ZucksOffice +BlueBottle +HackerSquare +ChosHawkerCenter +41 3 603270301156 +TechVendingMachine +HalalTruck +ShuttlePlatform +WallOfPhones +MPK20Roof +LikeSign +DentalOffice +FukiSushiInOldenDays +TransportationHub +CafeEpic +RainbowStairs +FakeCrosswalk +ZucksOffice +BurgerShack +Nanokitchen +Harvest +Arcade +SwagStore +Sol +HackerSquare +LightningBolts +HotfixBar +LateHarvest +ConstitutionDeli +SweetStop +BridgeClub +TuringInDominoes +BahnAppetit +NailPolishRoomBlock +Helpdesk +SaintFrank +PhilzCoffee +VerveCoffee +FoxPainting +Microkitchen +FreshOrangeJuice +ZucksOldOffice +Ballpit +SugarShack +FoxGazebo +BlueBottle +25 1 543645657850 +OculusDemoLab +FakeCrosswalk +LivingTheDream +SwagStore +Harvest +ZucksOldOffice +LikeSign +MamaPennys +ConstitutionDeli +LightningBolts +HotfixBar +FreshOrangeJuice +SaintFrank +ChosHawkerCenter +BurgerShack +TransportationHub +ZucksOffice +WallOfPhones +BridgeClub +Ballpit +RainbowStairs +HalalTruck +SweetStop +Helpdesk +TechVendingMachine +13 11 666195881624 +Sol +WoodenSculpture +ShuttlePlatform +TechVendingMachine +CafeEpic +ConstitutionDeli +MPK20Roof +BlueBottle +TuringInDominoes +FukiSushiInOldenDays +Nanokitchen +LightningBolts +FreshOrangeJuice diff --git a/2018/quals/tourist.md b/2018/quals/tourist.md new file mode 100644 index 0000000000000000000000000000000000000000..76a9958f155fa949f1dd396a085f01b42763364e --- /dev/null +++ b/2018/quals/tourist.md @@ -0,0 +1,52 @@ +The Facebook campus has **N** different attractions, numbered from 1 to **N** +in decreasing order of popularity. The name of the _i_th attraction is **Ai**, +a unique, non-empty string consisting of at most 20 characters. Each character +is either a lowercase letter ("a".."z"), uppercase letter ("A".."Z"), or digit +("0".."9"). + +Alex enjoys visiting the campus repeatedly for tours (including the free +food!). Each time he visits, he has time to see exactly **K** of the +attractions. To decide which **K** he'll see, he sorts the **N** attractions +in non-decreasing order of how many times he's already seen them before, +breaking ties in decreasing order of popularity, and then chooses the first +**K** attractions in the sorted list. In other words, he prioritizes seeing +attractions which he's seen the fewest number of times previously, but also +opts to see the most popular attractions out of the ones he's seen an equal +number of times. + +Alex has visited the Facebook campus **V**-1 separate times already, and is +about to go for his **V**th visit. Given that he's always followed the rules +stated above, and that he'll continue to, he'd like to determine which **K** +attractions he'll see on his **V**th visit. He'd like to list them in +decreasing order of popularity (in other words, in the same relative order as +they appear in the given list of all **N** attractions). + +### Input + +Input begins with an integer **T**, the number of campuses. For each campus, +there is first a line containing the space-separated integers **N**, **K**, +and **V**. Then, **N** lines follow. The _i_th of these lines contains the +string **Ai**. + +### Output + +For the _i_th campus, print a line containing "Case #_i_: " followed by **K** +space-separated strings, the names of the attractions that Alex sees on his +**V**th visit, in decreasing order of popularity. + +### Constraints + +1 ≤ **T** ≤ 80 +1 ≤ **K** ≤ **N** ≤ 50 +1 ≤ **V** ≤ 1012 + +### Explanation of Sample + +In the first case, Alex saw the LikeSign on his first visit and the Arcade on +his second visit. On his third visit he sees the SweetStop as its the most +popular of the attractions he hasn't yet seen. + +In the third and fourth cases, Alex sees {LikeSign, Arcade, SweetStop} on his +first visit, then {LikeSign, Arcade, SwagStore}, then {LikeSign, SweetStop, +SwagStore}. + diff --git a/2018/quals/tourist.out b/2018/quals/tourist.out new file mode 100644 index 0000000000000000000000000000000000000000..9bcc3ef51f66b5f0011eb6ac2dd2f8339c1b9c82 --- /dev/null +++ b/2018/quals/tourist.out @@ -0,0 +1,156 @@ +Case #1: HotfixBar RainbowStairs Sol SweetStop CafeEpic LivingTheDream ZucksOffice TuringInDominoes OculusDemoLab LightningBolts NailPolishRoomBlock DentalOffice Nanokitchen PhilzCoffee SwagStore BahnAppetit FreshOrangeJuice FoxGazebo VerveCoffee ShuttlePlatform FakeCrosswalk BurgerShack TransportationHub FukiSushiInOldenDays ColdBrewMachine PopUpShop SonOfPingAndPong Harvest BlueBottle ZucksOldOffice MPK20Roof ChosHawkerCenter TechVendingMachine SugarShack WoodenSculpture FoxPainting Arcade Helpdesk BridgeClub ConstitutionDeli Microkitchen SaintFrank HalalTruck LateHarvest LikeSign MamaPennys WallOfPhones +Case #2: CafeEpic SonOfPingAndPong SweetStop +Case #3: LightningBolts Ballpit PopUpShop TuringInDominoes VerveCoffee +Case #4: RainbowStairs WallOfPhones FoxGazebo Helpdesk Arcade Harvest NailPolishRoomBlock FullCircle PopUpShop OculusDemoLab SaintFrank MamaPennys Sol FoxPainting HalalTruck LateHarvest FakeCrosswalk SugarShack BlueBottle SweetStop TuringInDominoes CafeEpic LivingTheDream DentalOffice ZucksOffice SonOfPingAndPong Nanokitchen ColdBrewMachine MPK20Roof WoodenSculpture PhilzCoffee BahnAppetit SwagStore FreshOrangeJuice ConstitutionDeli ShuttlePlatform LightningBolts ZucksOldOffice LikeSign TechVendingMachine Ballpit +Case #5: FullCircle FukiSushiInOldenDays WallOfPhones NailPolishRoomBlock Ballpit +Case #6: WoodenSculpture MPK20Roof Harvest Nanokitchen +Case #7: PopUpShop +Case #8: VerveCoffee LightningBolts BlueBottle SwagStore +Case #9: ShuttlePlatform +Case #10: FoxPainting BahnAppetit SweetStop LightningBolts ChosHawkerCenter ZucksOldOffice +Case #11: MamaPennys SwagStore LightningBolts FullCircle PhilzCoffee Harvest HackerSquare TransportationHub ShuttlePlatform FoxGazebo NailPolishRoomBlock WallOfPhones BlueBottle PopUpShop LikeSign HotfixBar +Case #12: FullCircle Sol MPK20Roof Arcade FoxPainting HotfixBar +Case #13: ShuttlePlatform NailPolishRoomBlock LightningBolts MamaPennys Microkitchen HalalTruck CafeEpic BahnAppetit PhilzCoffee SaintFrank BurgerShack FoxPainting HotfixBar FoxGazebo HackerSquare SwagStore LikeSign FullCircle Arcade VerveCoffee +Case #14: ConstitutionDeli TuringInDominoes Harvest HackerSquare NailPolishRoomBlock Ballpit BlueBottle OculusDemoLab Nanokitchen TechVendingMachine BahnAppetit VerveCoffee HalalTruck LivingTheDream SugarShack FoxPainting LateHarvest SonOfPingAndPong DentalOffice HotfixBar BridgeClub LikeSign MamaPennys SwagStore RainbowStairs BurgerShack +Case #15: LivingTheDream +Case #16: SaintFrank OculusDemoLab LikeSign DentalOffice FakeCrosswalk +Case #17: MamaPennys FukiSushiInOldenDays FoxPainting +Case #18: LikeSign SweetStop SwagStore +Case #19: SaintFrank HotfixBar Ballpit MPK20Roof PopUpShop ChosHawkerCenter HalalTruck FoxPainting Sol LivingTheDream SweetStop WallOfPhones HackerSquare LateHarvest TuringInDominoes LightningBolts ColdBrewMachine BurgerShack Nanokitchen +Case #20: Nanokitchen PhilzCoffee SaintFrank VerveCoffee LivingTheDream FakeCrosswalk FoxGazebo LikeSign FreshOrangeJuice BurgerShack NailPolishRoomBlock SonOfPingAndPong FoxPainting PopUpShop RainbowStairs TransportationHub ColdBrewMachine ZucksOffice ZucksOldOffice BahnAppetit +Case #21: MamaPennys FakeCrosswalk DentalOffice NailPolishRoomBlock HotfixBar Harvest ShuttlePlatform ConstitutionDeli BlueBottle BridgeClub LateHarvest VerveCoffee SweetStop HalalTruck SwagStore FreshOrangeJuice ZucksOldOffice FukiSushiInOldenDays CafeEpic SaintFrank Arcade MPK20Roof FoxPainting SugarShack ZucksOffice FullCircle LivingTheDream Helpdesk WallOfPhones RainbowStairs +Case #22: MPK20Roof BridgeClub FukiSushiInOldenDays ConstitutionDeli Sol TransportationHub BlueBottle LivingTheDream SugarShack MamaPennys BahnAppetit Nanokitchen HotfixBar LateHarvest Microkitchen HalalTruck BurgerShack Ballpit OculusDemoLab LightningBolts Harvest +Case #23: DentalOffice MamaPennys Microkitchen LightningBolts ConstitutionDeli Harvest FakeCrosswalk WoodenSculpture VerveCoffee PhilzCoffee CafeEpic SugarShack FoxPainting Arcade LateHarvest ColdBrewMachine SonOfPingAndPong +Case #24: Helpdesk ChosHawkerCenter SugarShack BlueBottle LivingTheDream +Case #25: MPK20Roof MamaPennys SugarShack FoxPainting RainbowStairs ColdBrewMachine FukiSushiInOldenDays PhilzCoffee Ballpit ZucksOldOffice TechVendingMachine +Case #26: LightningBolts HotfixBar ShuttlePlatform FukiSushiInOldenDays TransportationHub FoxGazebo NailPolishRoomBlock CafeEpic BahnAppetit ColdBrewMachine SugarShack +Case #27: TransportationHub SaintFrank +Case #28: Harvest TechVendingMachine +Case #29: DentalOffice Microkitchen TechVendingMachine Harvest PopUpShop SonOfPingAndPong ConstitutionDeli Helpdesk TuringInDominoes FoxPainting ZucksOldOffice SweetStop MamaPennys LikeSign TransportationHub BlueBottle LivingTheDream CafeEpic WoodenSculpture FukiSushiInOldenDays FoxGazebo SwagStore Sol SaintFrank RainbowStairs BurgerShack ShuttlePlatform BahnAppetit Nanokitchen LightningBolts PhilzCoffee Ballpit HotfixBar ColdBrewMachine FakeCrosswalk VerveCoffee FreshOrangeJuice OculusDemoLab FullCircle MPK20Roof LateHarvest SugarShack WallOfPhones ChosHawkerCenter NailPolishRoomBlock +Case #30: RainbowStairs LateHarvest CafeEpic LightningBolts SugarShack BridgeClub ShuttlePlatform ChosHawkerCenter TransportationHub SonOfPingAndPong +Case #31: OculusDemoLab Nanokitchen MPK20Roof CafeEpic LivingTheDream TuringInDominoes BurgerShack DentalOffice NailPolishRoomBlock Sol Harvest SonOfPingAndPong SwagStore FakeCrosswalk FoxGazebo TechVendingMachine FullCircle ZucksOldOffice ConstitutionDeli SugarShack PopUpShop FukiSushiInOldenDays ZucksOffice FoxPainting BlueBottle SweetStop MamaPennys RainbowStairs WallOfPhones LightningBolts SaintFrank ShuttlePlatform ChosHawkerCenter Arcade TransportationHub HackerSquare WoodenSculpture PhilzCoffee Microkitchen BahnAppetit +Case #32: CafeEpic +Case #33: DentalOffice BlueBottle +Case #34: ShuttlePlatform BlueBottle +Case #35: ShuttlePlatform TuringInDominoes FukiSushiInOldenDays WoodenSculpture TechVendingMachine ZucksOffice LikeSign ZucksOldOffice HalalTruck Sol OculusDemoLab RainbowStairs LightningBolts SugarShack FakeCrosswalk LateHarvest WallOfPhones ConstitutionDeli HotfixBar TransportationHub MamaPennys Arcade Ballpit FoxPainting +Case #36: BridgeClub ZucksOldOffice FreshOrangeJuice BurgerShack Microkitchen ColdBrewMachine NailPolishRoomBlock +Case #37: Nanokitchen ConstitutionDeli SaintFrank DentalOffice Ballpit FullCircle BlueBottle FakeCrosswalk OculusDemoLab FoxPainting Harvest ZucksOldOffice BurgerShack FreshOrangeJuice TransportationHub Microkitchen ShuttlePlatform FukiSushiInOldenDays LikeSign LateHarvest BridgeClub +Case #38: FukiSushiInOldenDays ColdBrewMachine FreshOrangeJuice CafeEpic SwagStore Helpdesk FullCircle MamaPennys BahnAppetit LateHarvest Harvest +Case #39: Helpdesk NailPolishRoomBlock HalalTruck ChosHawkerCenter BurgerShack LateHarvest SweetStop FukiSushiInOldenDays Nanokitchen SonOfPingAndPong MamaPennys Sol FullCircle PopUpShop VerveCoffee MPK20Roof ShuttlePlatform HackerSquare RainbowStairs SugarShack ColdBrewMachine LivingTheDream WallOfPhones ZucksOldOffice Ballpit +Case #40: WoodenSculpture Harvest FukiSushiInOldenDays PopUpShop ShuttlePlatform BahnAppetit NailPolishRoomBlock SwagStore SugarShack +Case #41: MPK20Roof FreshOrangeJuice LightningBolts BahnAppetit WoodenSculpture TransportationHub Helpdesk CafeEpic WallOfPhones Arcade FullCircle Microkitchen SugarShack Nanokitchen BurgerShack SweetStop ZucksOffice Sol SaintFrank DentalOffice BlueBottle VerveCoffee +Case #42: Microkitchen VerveCoffee HackerSquare PopUpShop +Case #43: FullCircle +Case #44: HalalTruck LikeSign Arcade Harvest LivingTheDream LightningBolts ChosHawkerCenter WoodenSculpture Helpdesk SwagStore NailPolishRoomBlock ColdBrewMachine CafeEpic BlueBottle ConstitutionDeli ZucksOldOffice FakeCrosswalk SugarShack WallOfPhones FukiSushiInOldenDays ZucksOffice SweetStop SonOfPingAndPong PopUpShop Microkitchen Nanokitchen DentalOffice BridgeClub ShuttlePlatform FoxPainting TransportationHub HotfixBar +Case #45: DentalOffice BahnAppetit WoodenSculpture LateHarvest BurgerShack ConstitutionDeli FoxGazebo VerveCoffee SweetStop +Case #46: LivingTheDream +Case #47: Arcade ConstitutionDeli HotfixBar +Case #48: CafeEpic SonOfPingAndPong FoxPainting BlueBottle Arcade SwagStore Sol BurgerShack FoxGazebo HotfixBar HalalTruck BridgeClub OculusDemoLab MPK20Roof Nanokitchen SugarShack ZucksOldOffice HackerSquare SaintFrank FakeCrosswalk Helpdesk ZucksOffice FukiSushiInOldenDays NailPolishRoomBlock LivingTheDream DentalOffice Harvest BahnAppetit WoodenSculpture PopUpShop LightningBolts MamaPennys FullCircle ConstitutionDeli Microkitchen PhilzCoffee WallOfPhones RainbowStairs VerveCoffee FreshOrangeJuice TransportationHub SweetStop TuringInDominoes +Case #49: ZucksOffice TransportationHub OculusDemoLab ChosHawkerCenter DentalOffice Microkitchen ShuttlePlatform CafeEpic SugarShack TuringInDominoes LivingTheDream ConstitutionDeli +Case #50: HackerSquare VerveCoffee HalalTruck ConstitutionDeli SugarShack PopUpShop Sol PhilzCoffee ShuttlePlatform BurgerShack LikeSign BlueBottle RainbowStairs LateHarvest Microkitchen ZucksOldOffice ZucksOffice SaintFrank TransportationHub FakeCrosswalk WallOfPhones SweetStop Harvest DentalOffice Ballpit LightningBolts FukiSushiInOldenDays SonOfPingAndPong WoodenSculpture TechVendingMachine HotfixBar ColdBrewMachine FoxGazebo +Case #51: ColdBrewMachine ZucksOldOffice +Case #52: WallOfPhones Ballpit ZucksOldOffice +Case #53: ChosHawkerCenter Arcade FoxGazebo FukiSushiInOldenDays WallOfPhones HackerSquare VerveCoffee BurgerShack HotfixBar FreshOrangeJuice WoodenSculpture +Case #54: WoodenSculpture +Case #55: SweetStop Harvest ZucksOffice OculusDemoLab HalalTruck Arcade BridgeClub MamaPennys SwagStore PhilzCoffee Sol CafeEpic LivingTheDream Microkitchen SugarShack NailPolishRoomBlock RainbowStairs BahnAppetit BlueBottle TransportationHub FullCircle ColdBrewMachine PopUpShop SaintFrank ChosHawkerCenter ZucksOldOffice Nanokitchen LateHarvest ConstitutionDeli FoxGazebo +Case #56: VerveCoffee PopUpShop OculusDemoLab ZucksOldOffice ZucksOffice +Case #57: BahnAppetit HackerSquare ZucksOffice Arcade FoxPainting NailPolishRoomBlock SonOfPingAndPong BlueBottle FreshOrangeJuice Helpdesk DentalOffice MamaPennys MPK20Roof Ballpit SweetStop TechVendingMachine ChosHawkerCenter LivingTheDream FullCircle SaintFrank CafeEpic PopUpShop ShuttlePlatform WoodenSculpture SugarShack TransportationHub PhilzCoffee LikeSign +Case #58: LikeSign Arcade SwagStore +Case #59: WallOfPhones +Case #60: ZucksOffice Sol HalalTruck Nanokitchen ConstitutionDeli TechVendingMachine ShuttlePlatform ColdBrewMachine BurgerShack Microkitchen Ballpit DentalOffice OculusDemoLab +Case #61: TransportationHub SonOfPingAndPong +Case #62: SaintFrank BlueBottle TransportationHub DentalOffice ColdBrewMachine MamaPennys +Case #63: NailPolishRoomBlock SonOfPingAndPong Helpdesk +Case #64: LivingTheDream Harvest PhilzCoffee MamaPennys +Case #65: FakeCrosswalk FreshOrangeJuice LightningBolts TuringInDominoes Sol SonOfPingAndPong ColdBrewMachine SaintFrank BahnAppetit +Case #66: ZucksOffice ChosHawkerCenter LivingTheDream FullCircle SaintFrank RainbowStairs MamaPennys ConstitutionDeli SugarShack TuringInDominoes MPK20Roof BridgeClub LightningBolts WallOfPhones FreshOrangeJuice SweetStop Nanokitchen Ballpit Sol LikeSign TransportationHub SonOfPingAndPong OculusDemoLab +Case #67: LateHarvest HalalTruck LightningBolts MamaPennys Harvest Helpdesk DentalOffice ColdBrewMachine TransportationHub SonOfPingAndPong RainbowStairs LikeSign FakeCrosswalk Ballpit FukiSushiInOldenDays FullCircle SugarShack CafeEpic FreshOrangeJuice ShuttlePlatform Nanokitchen TuringInDominoes NailPolishRoomBlock MPK20Roof BurgerShack SaintFrank HackerSquare +Case #68: TuringInDominoes VerveCoffee FukiSushiInOldenDays ShuttlePlatform TechVendingMachine ColdBrewMachine LightningBolts BridgeClub HotfixBar OculusDemoLab CafeEpic FakeCrosswalk SonOfPingAndPong FullCircle ZucksOffice Arcade SugarShack FoxGazebo MPK20Roof ConstitutionDeli WallOfPhones ChosHawkerCenter WoodenSculpture +Case #69: ColdBrewMachine WoodenSculpture LightningBolts SweetStop BahnAppetit FukiSushiInOldenDays BurgerShack ConstitutionDeli ChosHawkerCenter ShuttlePlatform LikeSign MPK20Roof Ballpit Sol TechVendingMachine NailPolishRoomBlock +Case #70: MPK20Roof DentalOffice LateHarvest Arcade SonOfPingAndPong FakeCrosswalk BurgerShack HackerSquare FoxGazebo Helpdesk ZucksOldOffice ZucksOffice LivingTheDream SwagStore WallOfPhones LikeSign ChosHawkerCenter BahnAppetit NailPolishRoomBlock Ballpit ShuttlePlatform HotfixBar SweetStop MamaPennys +Case #71: MPK20Roof ShuttlePlatform Sol TuringInDominoes FoxPainting WoodenSculpture Harvest Microkitchen SwagStore ZucksOffice BurgerShack Arcade +Case #72: TuringInDominoes SonOfPingAndPong +Case #73: WoodenSculpture WallOfPhones OculusDemoLab HalalTruck FreshOrangeJuice LivingTheDream MamaPennys Arcade +Case #74: BlueBottle NailPolishRoomBlock HackerSquare WallOfPhones LateHarvest BridgeClub Harvest Microkitchen WoodenSculpture ConstitutionDeli LightningBolts DentalOffice FullCircle SugarShack LivingTheDream PopUpShop RainbowStairs ChosHawkerCenter HotfixBar PhilzCoffee ColdBrewMachine ShuttlePlatform MPK20Roof Arcade CafeEpic SweetStop VerveCoffee SwagStore ZucksOffice FukiSushiInOldenDays TransportationHub HalalTruck Sol TechVendingMachine +Case #75: LightningBolts VerveCoffee +Case #76: CafeEpic Sol TransportationHub TuringInDominoes +Case #77: ZucksOldOffice FullCircle TransportationHub Helpdesk LivingTheDream +Case #78: HackerSquare SugarShack Harvest ConstitutionDeli BurgerShack WoodenSculpture FukiSushiInOldenDays TuringInDominoes ShuttlePlatform Sol SweetStop BridgeClub SonOfPingAndPong TransportationHub Helpdesk ZucksOldOffice Microkitchen FoxGazebo FullCircle +Case #79: Helpdesk SonOfPingAndPong MPK20Roof WoodenSculpture CafeEpic LivingTheDream HalalTruck FukiSushiInOldenDays OculusDemoLab +Case #80: SaintFrank SonOfPingAndPong WallOfPhones SweetStop VerveCoffee WoodenSculpture Nanokitchen +Case #81: SonOfPingAndPong +Case #82: ColdBrewMachine ConstitutionDeli Harvest MamaPennys +Case #83: LateHarvest ZucksOldOffice CafeEpic MPK20Roof SwagStore Microkitchen NailPolishRoomBlock FullCircle TuringInDominoes FukiSushiInOldenDays Harvest WoodenSculpture Arcade FoxGazebo WallOfPhones LikeSign ZucksOffice BridgeClub HackerSquare Nanokitchen BurgerShack FakeCrosswalk ConstitutionDeli +Case #84: MamaPennys TechVendingMachine LikeSign BurgerShack NailPolishRoomBlock FoxPainting FukiSushiInOldenDays TuringInDominoes +Case #85: OculusDemoLab VerveCoffee ZucksOffice BahnAppetit HalalTruck MPK20Roof FakeCrosswalk +Case #86: LikeSign Arcade SweetStop +Case #87: ZucksOffice HackerSquare Helpdesk SugarShack +Case #88: OculusDemoLab Ballpit ZucksOffice VerveCoffee SugarShack SaintFrank FoxGazebo RainbowStairs Nanokitchen TransportationHub LightningBolts BlueBottle BurgerShack WallOfPhones ConstitutionDeli MPK20Roof ChosHawkerCenter HalalTruck WoodenSculpture MamaPennys PopUpShop CafeEpic LivingTheDream LateHarvest FukiSushiInOldenDays FoxPainting +Case #89: ChosHawkerCenter FukiSushiInOldenDays HalalTruck TransportationHub LivingTheDream RainbowStairs ColdBrewMachine TechVendingMachine SugarShack +Case #90: Ballpit Helpdesk NailPolishRoomBlock MPK20Roof FullCircle TuringInDominoes BlueBottle OculusDemoLab HackerSquare LivingTheDream FakeCrosswalk FreshOrangeJuice PhilzCoffee FukiSushiInOldenDays Nanokitchen BridgeClub WallOfPhones LateHarvest ConstitutionDeli LikeSign VerveCoffee Microkitchen DentalOffice Sol ChosHawkerCenter TransportationHub ZucksOffice RainbowStairs HotfixBar SonOfPingAndPong BurgerShack PopUpShop Harvest LightningBolts TechVendingMachine HalalTruck +Case #91: BridgeClub LivingTheDream SaintFrank ZucksOldOffice +Case #92: ZucksOffice SweetStop +Case #93: BahnAppetit SaintFrank PopUpShop ColdBrewMachine BridgeClub +Case #94: PopUpShop FoxPainting LateHarvest TuringInDominoes BurgerShack LivingTheDream ChosHawkerCenter SugarShack BahnAppetit ColdBrewMachine Ballpit +Case #95: WallOfPhones RainbowStairs HackerSquare NailPolishRoomBlock DentalOffice ConstitutionDeli Harvest LivingTheDream BridgeClub Nanokitchen HalalTruck LightningBolts BurgerShack SonOfPingAndPong OculusDemoLab VerveCoffee ShuttlePlatform ZucksOffice TechVendingMachine TuringInDominoes LateHarvest Microkitchen +Case #96: TransportationHub BahnAppetit MamaPennys BlueBottle FreshOrangeJuice Microkitchen BurgerShack CafeEpic ShuttlePlatform +Case #97: WallOfPhones ConstitutionDeli BridgeClub TuringInDominoes BahnAppetit ZucksOffice OculusDemoLab Microkitchen Arcade ShuttlePlatform NailPolishRoomBlock SweetStop SwagStore HackerSquare TechVendingMachine SonOfPingAndPong +Case #98: Nanokitchen Arcade Ballpit SwagStore FreshOrangeJuice ShuttlePlatform LikeSign HotfixBar LivingTheDream RainbowStairs FoxPainting Harvest BahnAppetit VerveCoffee TransportationHub ConstitutionDeli CafeEpic SweetStop Helpdesk Sol FakeCrosswalk BurgerShack Microkitchen ColdBrewMachine MamaPennys +Case #99: ZucksOldOffice Harvest PopUpShop SonOfPingAndPong LikeSign SwagStore PhilzCoffee +Case #100: SweetStop +Case #101: PopUpShop PhilzCoffee MPK20Roof LightningBolts ChosHawkerCenter Microkitchen CafeEpic BlueBottle ZucksOffice BridgeClub Ballpit VerveCoffee ColdBrewMachine WoodenSculpture +Case #102: HackerSquare OculusDemoLab ZucksOldOffice FakeCrosswalk BridgeClub Harvest LateHarvest WoodenSculpture ZucksOffice Microkitchen LightningBolts Sol BlueBottle FullCircle SaintFrank SonOfPingAndPong PopUpShop LivingTheDream TransportationHub LikeSign Arcade BurgerShack ConstitutionDeli Nanokitchen ChosHawkerCenter SweetStop CafeEpic DentalOffice MamaPennys RainbowStairs FoxGazebo NailPolishRoomBlock +Case #103: SaintFrank Helpdesk ConstitutionDeli SweetStop Microkitchen LateHarvest MamaPennys PhilzCoffee Sol BlueBottle SonOfPingAndPong FullCircle +Case #104: FoxGazebo MPK20Roof WoodenSculpture Biryani +Case #105: SwagStore CafeEpic FreshOrangeJuice FullCircle WallOfPhones TuringInDominoes HalalTruck +Case #106: ConstitutionDeli LikeSign FoxGazebo BlueBottle BurgerShack Microkitchen TransportationHub TuringInDominoes SugarShack ZucksOldOffice HotfixBar LateHarvest LightningBolts NailPolishRoomBlock LivingTheDream FullCircle ZucksOffice CafeEpic SaintFrank SonOfPingAndPong OculusDemoLab Nanokitchen +Case #107: ConstitutionDeli VerveCoffee WoodenSculpture MPK20Roof LikeSign ZucksOffice Sol ZucksOldOffice MamaPennys +Case #108: PhilzCoffee CafeEpic FukiSushiInOldenDays Microkitchen RainbowStairs LivingTheDream WoodenSculpture FoxGazebo FoxPainting OculusDemoLab Sol SaintFrank FullCircle SweetStop ChosHawkerCenter ColdBrewMachine BahnAppetit Ballpit VerveCoffee TechVendingMachine PopUpShop TransportationHub ConstitutionDeli WallOfPhones FakeCrosswalk ZucksOldOffice MamaPennys NailPolishRoomBlock Helpdesk LikeSign HotfixBar LateHarvest Harvest Nanokitchen BridgeClub ZucksOffice BurgerShack DentalOffice Arcade ShuttlePlatform FreshOrangeJuice BlueBottle +Case #109: TuringInDominoes Microkitchen BridgeClub FreshOrangeJuice +Case #110: Microkitchen BurgerShack FukiSushiInOldenDays Nanokitchen HackerSquare Helpdesk +Case #111: SugarShack SweetStop ConstitutionDeli BlueBottle TransportationHub Helpdesk SonOfPingAndPong FakeCrosswalk FoxGazebo MamaPennys TechVendingMachine VerveCoffee LightningBolts Nanokitchen FukiSushiInOldenDays OculusDemoLab PopUpShop Harvest Ballpit MPK20Roof RainbowStairs TuringInDominoes ChosHawkerCenter DentalOffice FoxPainting +Case #112: ShuttlePlatform BridgeClub Microkitchen BlueBottle LightningBolts OculusDemoLab NailPolishRoomBlock SweetStop LikeSign ZucksOffice FullCircle HotfixBar SaintFrank LivingTheDream Helpdesk MPK20Roof Arcade ColdBrewMachine Sol WallOfPhones FoxPainting RainbowStairs DentalOffice FakeCrosswalk PhilzCoffee TuringInDominoes PopUpShop +Case #113: PhilzCoffee HalalTruck Microkitchen MPK20Roof ColdBrewMachine +Case #114: HalalTruck FreshOrangeJuice +Case #115: ColdBrewMachine +Case #116: FreshOrangeJuice ColdBrewMachine OculusDemoLab ZucksOffice FoxPainting Ballpit WoodenSculpture VerveCoffee BlueBottle HackerSquare LikeSign +Case #117: Harvest FukiSushiInOldenDays ZucksOldOffice NailPolishRoomBlock MPK20Roof +Case #118: HackerSquare FukiSushiInOldenDays BlueBottle ConstitutionDeli FoxGazebo +Case #119: ZucksOldOffice ChosHawkerCenter Harvest SonOfPingAndPong Nanokitchen TuringInDominoes HotfixBar MPK20Roof FoxGazebo Arcade HackerSquare Ballpit FukiSushiInOldenDays SugarShack CafeEpic Helpdesk ColdBrewMachine +Case #120: SwagStore BahnAppetit Harvest BridgeClub ZucksOffice WallOfPhones TechVendingMachine LateHarvest Microkitchen Nanokitchen ZucksOldOffice NailPolishRoomBlock DentalOffice FoxPainting Arcade VerveCoffee BlueBottle ShuttlePlatform Sol SugarShack LightningBolts TuringInDominoes MPK20Roof WoodenSculpture FakeCrosswalk HotfixBar BurgerShack FreshOrangeJuice FoxGazebo LikeSign ChosHawkerCenter MamaPennys LivingTheDream PopUpShop FullCircle TransportationHub SweetStop RainbowStairs PhilzCoffee SaintFrank HackerSquare +Case #121: FukiSushiInOldenDays FoxPainting LivingTheDream Helpdesk Arcade SweetStop RainbowStairs ConstitutionDeli Harvest VerveCoffee TechVendingMachine BlueBottle NailPolishRoomBlock Microkitchen CafeEpic Ballpit DentalOffice FreshOrangeJuice Sol FullCircle Nanokitchen SaintFrank PopUpShop LikeSign HackerSquare FoxGazebo LightningBolts SonOfPingAndPong PhilzCoffee WallOfPhones FakeCrosswalk +Case #122: Nanokitchen MPK20Roof BlueBottle Microkitchen BridgeClub ConstitutionDeli TechVendingMachine FukiSushiInOldenDays WallOfPhones SweetStop BurgerShack LikeSign Helpdesk OculusDemoLab HackerSquare MamaPennys PopUpShop ZucksOldOffice PhilzCoffee FullCircle NailPolishRoomBlock ChosHawkerCenter SwagStore +Case #123: HotfixBar +Case #124: WallOfPhones HalalTruck SugarShack BurgerShack +Case #125: HotfixBar MamaPennys SweetStop SwagStore Microkitchen FullCircle ZucksOldOffice ConstitutionDeli FoxGazebo +Case #126: ChosHawkerCenter BlueBottle FukiSushiInOldenDays ZucksOldOffice LateHarvest WallOfPhones VerveCoffee ConstitutionDeli PopUpShop TechVendingMachine ZucksOffice ShuttlePlatform RainbowStairs FoxPainting MPK20Roof SwagStore Microkitchen BridgeClub ColdBrewMachine WoodenSculpture OculusDemoLab Harvest HackerSquare Sol SugarShack BurgerShack FreshOrangeJuice +Case #127: SwagStore CafeEpic FullCircle WoodenSculpture Microkitchen VerveCoffee ZucksOffice PhilzCoffee SweetStop ColdBrewMachine SonOfPingAndPong HotfixBar SaintFrank BahnAppetit DentalOffice Ballpit Helpdesk ZucksOldOffice PopUpShop FoxPainting Nanokitchen LikeSign BridgeClub SugarShack +Case #128: PhilzCoffee HalalTruck Ballpit LivingTheDream SweetStop BridgeClub Nanokitchen SwagStore WallOfPhones SonOfPingAndPong Arcade ZucksOffice FakeCrosswalk +Case #129: TransportationHub Ballpit RainbowStairs SwagStore BridgeClub ZucksOffice +Case #130: Arcade +Case #131: Ballpit Harvest TransportationHub +Case #132: ShuttlePlatform NailPolishRoomBlock TechVendingMachine PopUpShop FukiSushiInOldenDays ChosHawkerCenter Arcade BridgeClub LightningBolts HotfixBar MPK20Roof +Case #133: VerveCoffee FullCircle LikeSign +Case #134: ZucksOldOffice Harvest FakeCrosswalk WallOfPhones LateHarvest HotfixBar Helpdesk +Case #135: BahnAppetit LightningBolts FakeCrosswalk SwagStore HotfixBar VerveCoffee FukiSushiInOldenDays ColdBrewMachine PopUpShop LikeSign WallOfPhones BlueBottle TechVendingMachine FullCircle Arcade +Case #136: ZucksOldOffice ZucksOffice BlueBottle TransportationHub +Case #137: PhilzCoffee TransportationHub ShuttlePlatform FreshOrangeJuice FakeCrosswalk Sol OculusDemoLab Harvest BlueBottle LikeSign LateHarvest ZucksOffice WoodenSculpture FukiSushiInOldenDays TechVendingMachine VerveCoffee ChosHawkerCenter ColdBrewMachine Helpdesk FoxPainting PopUpShop BahnAppetit ConstitutionDeli TuringInDominoes SugarShack HalalTruck ZucksOldOffice LightningBolts RainbowStairs FoxGazebo Nanokitchen HackerSquare LivingTheDream Microkitchen MamaPennys BurgerShack DentalOffice BridgeClub +Case #138: PhilzCoffee NailPolishRoomBlock FukiSushiInOldenDays ColdBrewMachine +Case #139: Sol Helpdesk PhilzCoffee OculusDemoLab VerveCoffee LateHarvest Ballpit SweetStop DentalOffice NailPolishRoomBlock SwagStore BurgerShack SonOfPingAndPong MamaPennys ColdBrewMachine ConstitutionDeli FullCircle Nanokitchen ShuttlePlatform CafeEpic Microkitchen TuringInDominoes MPK20Roof SaintFrank Harvest LikeSign ZucksOffice ChosHawkerCenter WoodenSculpture SugarShack WallOfPhones HotfixBar FoxPainting +Case #140: Nanokitchen DentalOffice SwagStore BlueBottle FoxGazebo SonOfPingAndPong VerveCoffee ChosHawkerCenter NailPolishRoomBlock Microkitchen +Case #141: WallOfPhones Nanokitchen MamaPennys HalalTruck TransportationHub +Case #142: TuringInDominoes LivingTheDream HackerSquare WoodenSculpture +Case #143: BridgeClub WoodenSculpture DentalOffice FukiSushiInOldenDays BahnAppetit Nanokitchen LivingTheDream TuringInDominoes ShuttlePlatform ZucksOffice TechVendingMachine +Case #144: Sol FoxGazebo HotfixBar PhilzCoffee NailPolishRoomBlock SaintFrank WoodenSculpture CafeEpic WallOfPhones HackerSquare BurgerShack DentalOffice ZucksOldOffice Nanokitchen ShuttlePlatform +Case #145: WallOfPhones CafeEpic +Case #146: PhilzCoffee SonOfPingAndPong LikeSign ChosHawkerCenter Sol ConstitutionDeli Arcade SugarShack LateHarvest DentalOffice TransportationHub LightningBolts Helpdesk VerveCoffee FukiSushiInOldenDays WallOfPhones BridgeClub WoodenSculpture BurgerShack TuringInDominoes HalalTruck CafeEpic TechVendingMachine ZucksOldOffice FoxPainting BlueBottle ShuttlePlatform SweetStop Ballpit ZucksOffice FreshOrangeJuice +Case #147: Nanokitchen Arcade Helpdesk PopUpShop OculusDemoLab HalalTruck LikeSign HotfixBar BahnAppetit BridgeClub FoxPainting TechVendingMachine +Case #148: WoodenSculpture SwagStore HotfixBar HalalTruck MPK20Roof MamaPennys SugarShack ConstitutionDeli +Case #149: LivingTheDream ZucksOldOffice LightningBolts FukiSushiInOldenDays FreshOrangeJuice ZucksOffice FullCircle TechVendingMachine TransportationHub WallOfPhones MamaPennys +Case #150: TechVendingMachine Arcade +Case #151: Harvest TechVendingMachine FreshOrangeJuice LightningBolts Sol DentalOffice +Case #152: NailPolishRoomBlock LightningBolts BlueBottle RainbowStairs ChosHawkerCenter MamaPennys Helpdesk Arcade SonOfPingAndPong +Case #153: PhilzCoffee ZucksOffice BlueBottle HackerSquare ChosHawkerCenter +Case #154: FoxPainting Microkitchen FreshOrangeJuice +Case #155: TechVendingMachine +Case #156: ShuttlePlatform TechVendingMachine CafeEpic ConstitutionDeli MPK20Roof BlueBottle TuringInDominoes FukiSushiInOldenDays Nanokitchen LightningBolts FreshOrangeJuice diff --git a/2018/round1/273247077253892.jpg b/2018/round1/273247077253892.jpg new file mode 100644 index 0000000000000000000000000000000000000000..325f6d655b879b91f0fe6c4458ef7d102d03ae19 --- /dev/null +++ b/2018/round1/273247077253892.jpg @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c9363a031a59d7a295eab98fe7edb55f1a03e20192197c4b389d776d5f8b31f2 +size 12359 diff --git a/2018/round1/2796578177295687.jpg b/2018/round1/2796578177295687.jpg new file mode 100644 index 0000000000000000000000000000000000000000..edaa573a53cf3b131f1d153c6757063875d8a25f --- /dev/null +++ b/2018/round1/2796578177295687.jpg @@ -0,0 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100644 index 0000000000000000000000000000000000000000..cb78f14aa2cf1490b0d9f69d3e69f824ba5b492a --- /dev/null +++ b/2018/round1/ethantree.cpp @@ -0,0 +1,163 @@ +// Ethan Traverses a Tree +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 2000 + +int A[LIM],B[LIM]; +int cnt[2],ord[2][LIM]; + +void rec(int z,int i) +{ + if (i<0) + return; + if (!z) + ord[z][cnt[z]++]=i; + rec(z,A[i]); + rec(z,B[i]); + if (z) + ord[z][cnt[z]++]=i; +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N,K; + int i,j,k,a,b; + vector con[LIM]; + int L[LIM]; + queue Q; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + Read(N),Read(K); + Fox(i,N) + Read(A[i]),Read(B[i]),A[i]--,B[i]--; + // compute both traversals + Fill(cnt,0); + Fox(i,2) + rec(i,0); + // construct graph of nodes with equal labels + Fox(i,N) + con[i].clear(); + Fox(i,2) + Fox(j,N) + con[ord[i][j]].pb(ord[1-i][j]); + // split graph into components + k=0; + Fill(L,-1); + Fox(i,N) + if (L[i]<0) + { + if (k +Ethan is doing his second programming assignment: implementing pre-order tree traversal. +

+ +

+Ethan has a binary tree with N nodes (numbered 1 to N), rooted at node 1. +Each node i's left child is node Ai (with Ai = 0 indicating no left child), +and similarly its right child is Bi (with Bi = 0 indicating no right child). +Each node i is also assigned an integral label Li. +

+ +

+Given such a tree, Ethan must compute its pre-order traversal (expressed as a sequence of node labels). +The pre-order traversal of a tree involves taking its root node, then concatenating the pre-order traversal of the root's left sub-tree (if any), +and then concatenating the pre-order traversal of the root's right sub-tree (if any). +

+ +

+Ethan has attempted to solve this problem, but unfortunately he got his computer science terms mixed up, and now his algorithm finds the tree's +post-order traversal instead! +The post-order traversal of a tree involves taking the post-order traversal of the root's left sub-tree (if any), +and then concatenating the post-order traversal of the root's right sub-tree (if any), and finally concatenating the root node at the end. +

+ +

+Since you were mean to Ethan on his first assignment, you'd like to cheer him up by making his algorithm work out after all. +Though the tree's shape must stay as is, you can choose a set of labels L1..N for its nodes such that Ethan's algorithm will still produce the correct answer +— in other words, such that the sequence of node labels in the tree's pre-order traversal is equal to the sequence of node labels in its post-order traversal. +Your only two restrictions are that each node label must be between 1 and K (inclusive), +and that every integer between 1 and K (inclusive) must be used as the label of at least one node. +You'd like to find any way of validly labelling the nodes, or determine that no way exists. +

+ + +

Input

+ +

+Input begins with an integer T, the number of trees. +For each tree, there is first a line containing the space-separated integers N and K. +Then, N lines follow. The ith of these lines contains the space-separated integers Ai and Bi. +

+ + +

Output

+ +

+For the ith tree, print a line containing "Case #i: " +followed by your chosen node labels L1..N separated by spaces, or "Impossible" if there's no valid way to label the nodes. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 80
+1 ≤ K ≤ N ≤ 2,000
+0 ≤ Ai, Bi ≤ N
+

+ +

+Every tree is guaranteed to be a valid binary tree rooted at node 1. +

+ +

Explanation of Sample

+ +

+In the first case, if L = [1, 1], then both the pre-order and post-order label sequences will be [1, 1]. +

+ +

+In the second case, for each label between 1 and K to be present, you must choose either +L = [1, 2] or L = [2, 1], both of which would result in the pre-order and post-order label sequences differing. +For example, if L = [1, 2], then the pre-order sequence will be [1, 2] while the post-order sequence will be [2, 1]. +

+ +

+In the third case, if L = [2, 2, 1], then the pre-order and post-order label sequences will both be [2, 1, 2]. +

+ +

+Note that other outputs for example cases 3 to 5 would also be accepted. +

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1090 +0 0 +0 1088 +0 0 +0 0 +0 1092 +0 0 +0 0 +0 0 diff --git a/2018/round1/ethantree.md b/2018/round1/ethantree.md new file mode 100644 index 0000000000000000000000000000000000000000..e21811eb115d729f861dd5bf6d60d6ca594f06d6 --- /dev/null +++ b/2018/round1/ethantree.md @@ -0,0 +1,72 @@ +Ethan is doing his second programming assignment: implementing pre-order tree +traversal. + +Ethan has a binary tree with **N** nodes (numbered 1 to **N**), rooted at node +1. Each node _i_'s left child is node **Ai** (with **Ai** = 0 indicating no +left child), and similarly its right child is **Bi** (with **Bi** = 0 +indicating no right child). Each node _i_ is also assigned an integral label +**Li**. + +Given such a tree, Ethan must compute its [pre-order +traversal](https://en.wikipedia.org/wiki/Tree_traversal#Pre-order_\(NLR\)) +(expressed as a sequence of node labels). The pre-order traversal of a tree +involves taking its root node, then concatenating the pre-order traversal of +the root's left sub-tree (if any), and then concatenating the pre-order +traversal of the root's right sub-tree (if any). + +Ethan has attempted to solve this problem, but unfortunately he got his +computer science terms mixed up, and now his algorithm finds the tree's [post- +order traversal](https://en.wikipedia.org/wiki/Tree_traversal#Post- +order_\(LRN\)) instead! The post-order traversal of a tree involves taking the +post-order traversal of the root's left sub-tree (if any), and then +concatenating the post-order traversal of the root's right sub-tree (if any), +and finally concatenating the root node at the end. + +Since you were mean to Ethan on his first assignment, you'd like to cheer him +up by making his algorithm work out after all. Though the tree's shape must +stay as is, you can choose a set of labels **L1..N** for its nodes such that +Ethan's algorithm will still produce the correct answer — in other words, such +that the sequence of node labels in the tree's pre-order traversal is equal to +the sequence of node labels in its post-order traversal. Your only two +restrictions are that each node label must be between 1 and **K** (inclusive), +and that every integer between 1 and **K** (inclusive) must be used as the +label of at least one node. You'd like to find any way of validly labelling +the nodes, or determine that no way exists. + +### Input + +Input begins with an integer **T**, the number of trees. For each tree, there +is first a line containing the space-separated integers **N** and **K**. Then, +**N** lines follow. The _i_th of these lines contains the space-separated +integers **Ai** and **Bi**. + +### Output + +For the _i_th tree, print a line containing "Case #_i_: " followed by your +chosen node labels **L1..N** separated by spaces, or "Impossible" if there's +no valid way to label the nodes. + +### Constraints + +1 ≤ **T** ≤ 80 +1 ≤ **K** ≤ **N** ≤ 2,000 +0 ≤ **Ai**, **Bi** ≤ **N** + +Every tree is guaranteed to be a valid binary tree rooted at node 1. + +### Explanation of Sample + +In the first case, if **L** = [1, 1], then both the pre-order and post-order +label sequences will be [1, 1]. + +In the second case, for each label between 1 and **K** to be present, you must +choose either **L** = [1, 2] or **L** = [2, 1], both of which would result in +the pre-order and post-order label sequences differing. For example, if **L** += [1, 2], then the pre-order sequence will be [1, 2] while the post-order +sequence will be [2, 1]. + +In the third case, if **L** = [2, 2, 1], then the pre-order and post-order +label sequences will both be [2, 1, 2]. + +Note that other outputs for example cases 3 to 5 would also be accepted. + diff --git a/2018/round1/ethantree.out b/2018/round1/ethantree.out new file mode 100644 index 0000000000000000000000000000000000000000..9c80156975ac016702b06309083163a9173f0d11 --- /dev/null +++ b/2018/round1/ethantree.out @@ -0,0 +1,166 @@ +Case #1: 1 1 +Case #2: Impossible +Case #3: 2 2 1 +Case #4: 2 4 3 1 3 4 3 2 2 +Case #5: 1 1 2 3 4 1 2 3 1 3 1 3 2 3 1 +Case #6: Impossible +Case #7: 1 +Case #8: 1 1 +Case #9: Impossible +Case #10: 1 2 1 +Case #11: 1 1 1 1 1 1 1 +Case #12: Impossible +Case #13: Impossible +Case #14: 1 2 3 4 4 2 3 1 1 +Case #15: 1 2 3 3 3 2 3 1 1 +Case #16: 1 2 3 4 5 2 3 1 1 +Case #17: Impossible +Case #18: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 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162 161 160 159 158 157 156 155 154 153 152 151 150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131 130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 +Case #20: Impossible +Case #21: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 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153 152 151 150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131 130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 +Case #22: Impossible +Case #23: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 330 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1 1 1 2 1 3 3 2 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 1 1 2 1 1 1 2 1 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 1 3 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 +Case #162: 1 2 2 3 2 4 3 1 1 2 5 1 1 2 4 2 6 1 1 4 3 4 1 1 7 8 2 2 9 3 1 3 4 1 3 9 10 2 1 1 6 2 5 2 1 11 1 3 1 1 3 1 6 2 9 2 10 1 10 10 1 1 7 1 8 10 3 10 3 1 1 2 1 3 10 10 4 11 2 5 3 3 1 3 3 1 11 2 3 1 2 7 1 11 7 5 4 2 10 1 5 10 3 1 3 3 11 1 12 5 5 1 4 4 2 1 7 3 1 10 11 1 4 5 5 2 1 4 12 1 1 1 1 1 2 1 11 5 4 7 13 2 8 11 5 1 1 10 3 1 3 2 2 10 5 1 1 11 1 5 11 8 3 3 2 6 1 3 12 11 3 4 1 3 7 1 6 2 2 3 1 10 1 1 3 10 2 4 2 13 1 7 10 4 1 6 1 1 6 13 2 1 9 4 4 2 2 2 2 1 13 9 2 4 11 5 6 3 3 1 2 4 3 3 11 4 2 +Case #163: Impossible +Case #164: Impossible +Case #165: 1 1 2 3 1 4 5 6 1 1 7 1 3 2 1 1 1 8 9 7 10 1 5 7 6 1 6 2 1 1 1 11 5 1 11 1 12 3 1 13 2 4 1 1 1 3 1 2 14 1 6 1 1 1 4 14 1 1 2 1 1 2 13 1 1 15 1 16 17 18 19 6 10 6 1 20 1 7 4 1 1 2 1 1 16 1 3 1 1 1 6 20 1 21 7 19 1 1 1 1 17 2 1 1 1 7 2 2 22 3 3 23 1 3 24 25 1 6 1 6 1 7 1 1 1 1 2 1 3 1 1 2 1 3 6 5 26 1 1 27 1 1 1 1 1 7 2 1 28 1 1 1 1 2 9 3 12 1 3 1 1 25 1 1 29 1 6 7 1 1 21 1 2 30 2 1 24 1 1 1 5 1 4 3 1 1 10 7 1 1 5 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 6 3 1 5 2 1 1 1 1 1 1 1 7 1 2 1 1 1 1 1 5 3 1 1 6 4 1 1 1 1 9 1 20 1 5 1 1 2 1 18 2 1 2 30 1 1 1 1 10 2 1 1 1 7 5 1 2 2 1 1 1 4 1 3 1 1 7 5 1 1 1 5 1 7 1 1 1 1 1 2 2 3 1 1 12 1 1 1 5 3 5 16 1 1 7 2 1 4 5 1 2 6 6 20 1 1 3 1 6 1 20 1 2 1 1 2 2 6 3 7 1 1 2 1 8 1 1 3 6 1 1 1 1 2 1 1 1 1 7 1 1 1 4 2 1 3 1 1 1 1 3 1 3 7 16 1 7 1 1 3 7 1 1 2 1 1 18 1 2 2 2 1 2 1 1 1 1 1 1 1 9 1 1 2 13 5 1 6 22 2 5 3 4 1 2 5 6 1 5 1 2 1 1 5 1 1 6 2 1 1 1 1 1 5 2 2 1 1 1 6 1 2 3 5 1 1 4 4 1 1 1 1 1 1 1 6 1 1 16 1 1 1 1 1 2 2 1 2 2 1 1 1 1 3 1 2 6 13 6 1 1 1 1 1 1 5 1 1 1 13 3 1 1 6 2 1 3 +Case #166: 1 1 2 2 3 4 4 2 2 2 3 1 2 2 2 3 2 3 1 1 2 2 2 2 2 2 4 4 3 2 3 2 2 5 2 5 2 2 2 2 2 2 3 2 2 1 1 3 2 5 2 5 2 5 1 1 2 2 2 3 1 2 3 3 1 1 2 2 4 4 2 2 2 2 2 2 6 2 3 2 2 2 7 3 1 2 1 3 2 8 9 10 2 3 1 11 12 13 1 14 2 7 6 15 16 17 2 2 18 3 19 6 7 2 2 2 12 20 21 20 2 19 7 6 2 2 6 7 12 1 7 18 17 6 1 2 5 6 16 7 12 7 2 5 15 14 13 2 11 10 6 9 22 2 23 8 2 3 1 1 3 1 24 25 4 2 26 4 2 27 28 3 29 2 30 30 31 32 26 33 2 34 2 35 24 3 36 37 1 37 37 2 2 37 3 37 37 37 2 5 2 37 1 2 2 37 6 37 37 5 1 5 37 37 7 12 1 2 5 1 2 2 2 37 1 37 7 3 37 37 37 2 37 2 1 2 5 2 3 2 3 37 36 2 6 1 37 37 2 1 1 2 34 37 2 2 1 37 37 32 2 37 37 37 1 1 2 37 1 6 37 2 37 3 31 2 37 1 7 37 37 2 2 5 37 37 3 27 37 1 37 37 2 37 2 4 5 1 4 2 37 2 12 37 3 37 37 5 37 7 2 1 5 37 37 2 2 37 5 37 37 2 1 3 5 2 2 2 5 37 37 6 3 2 37 3 1 1 2 37 2 37 3 4 4 2 2 37 2 37 37 37 2 2 37 5 37 37 2 37 37 37 37 37 37 2 3 37 1 37 2 1 2 1 37 37 2 1 2 2 37 5 2 37 6 7 1 37 2 5 1 2 1 37 12 3 1 1 1 2 1 37 2 5 37 37 6 2 1 37 7 2 37 12 4 37 37 4 2 7 2 37 37 2 3 7 2 3 3 6 2 2 2 2 6 37 2 37 2 2 2 1 37 37 2 3 2 2 5 2 2 5 2 2 2 37 37 2 2 1 2 37 2 2 2 37 2 2 2 5 1 1 37 37 2 5 2 2 1 2 2 2 37 5 3 2 37 37 1 2 37 1 1 37 37 3 5 5 2 2 2 37 2 3 37 37 37 5 2 1 2 37 5 2 37 1 1 37 2 2 3 2 2 1 2 2 2 37 37 2 1 3 2 2 2 37 2 2 3 2 4 2 1 2 1 4 4 3 2 2 2 2 2 4 2 3 3 37 37 2 4 2 1 4 2 2 1 2 3 2 37 2 2 3 37 2 37 2 3 3 2 37 2 2 37 37 1 3 3 4 37 2 1 2 2 3 3 2 1 1 2 37 37 37 4 37 2 2 2 2 4 2 37 2 4 2 37 3 37 2 2 1 35 3 33 2 29 37 2 37 28 1 2 2 25 2 3 2 2 4 23 37 2 4 22 4 4 3 2 2 2 2 37 1 1 3 2 2 37 4 5 1 3 2 3 2 1 3 2 2 3 4 37 2 1 2 2 2 3 5 2 2 1 2 2 3 1 2 2 5 2 1 1 1 5 2 1 1 3 5 37 3 37 2 2 2 2 2 1 2 2 2 5 37 1 1 2 1 37 5 5 2 1 2 3 3 2 2 2 5 2 2 3 2 3 37 1 2 5 37 2 2 2 2 3 3 3 3 2 2 2 37 4 2 3 4 4 2 2 2 4 1 1 4 2 4 1 2 2 2 3 2 1 3 1 3 2 2 2 4 1 2 3 1 2 2 2 1 3 4 2 1 2 3 3 1 2 2 2 2 2 1 2 1 2 2 2 2 2 3 2 1 2 2 2 3 37 3 2 4 1 1 2 37 2 1 2 1 3 1 37 2 1 1 2 3 1 2 2 2 2 3 4 2 2 3 5 2 1 37 2 2 2 3 2 2 2 3 2 5 37 2 1 2 2 1 5 1 2 1 4 2 2 4 3 2 2 37 2 4 2 3 2 3 4 3 1 1 2 2 2 1 1 2 5 37 4 4 3 3 2 4 2 1 2 2 2 3 3 2 4 37 1 2 4 1 1 2 2 3 3 2 2 1 1 1 1 1 1 1 2 5 1 2 2 2 3 2 3 5 1 1 2 2 2 3 2 2 2 5 1 2 5 2 3 2 1 2 2 4 2 4 2 2 2 2 1 2 2 3 2 2 2 2 5 1 37 2 2 2 3 2 2 3 3 1 2 4 2 1 2 2 2 2 2 5 1 2 2 4 1 2 5 2 2 1 4 2 5 2 2 2 3 2 2 1 6 2 2 5 2 3 2 2 2 1 2 2 2 4 2 2 4 2 1 2 1 2 2 2 7 2 5 1 2 2 2 2 1 2 2 1 1 12 7 2 1 1 4 3 2 2 2 3 1 1 5 2 6 2 2 2 2 1 2 2 3 2 2 1 3 4 1 3 2 2 2 3 3 2 2 2 diff --git a/2018/round1/evening.cpp b/2018/round1/evening.cpp new file mode 100644 index 0000000000000000000000000000000000000000..fc6a47d8c6a94245c683a709e90cc1aa9be97667 --- /dev/null +++ b/2018/round1/evening.cpp @@ -0,0 +1,243 @@ +// Evening of the Living Dead +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 3003 +#define MOD 1000000007 + +int A[LIM],B[LIM]; + +PR GCD(int a,int b) +{ + if (!b) + return(mp(1,0)); + PR p=GCD(b,a%b); + return(mp(p.y,p.x-p.y*(a/b))); +} + +int Add(int a,int b) +{ + return((a+b)%MOD); +} + +int Sub(int a,int b) +{ + return((a-b+MOD)%MOD); +} + +int Mult(int a,int b) +{ + return((LL)a*b%MOD); +} + +int Div(int a,int b) +{ + int inv=GCD(b,MOD).x; + if (inv<0) + inv+=MOD; + return(Mult(a,inv)); +} + +int Prob(int i,int a,int b) +{ + Max(a,A[i]); + Min(b,B[i]); + if (a>b) + return(0); + return(Div(b-a+1,B[i]-A[i]+1)); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N,M; + int i,j,h,z,d,p,ans; + int mH[LIM]; + int nh,H[LIM]; + static int dynSafe[LIM][LIM]; // [yard][max fence height protecting safe yard] + static int dynZomb[LIM][LIM]; // [yard][max active zombie height] + int aggr[LIM]; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + Read(N),Read(M); + Fox(i,N-1) + Read(A[i]),Read(B[i]); + Fill(mH,0); + Fox(i,M) + { + Read(j),Read(h); + Max(mH[j-1],h); + } + // coordinate compress zombie heights + nh=0; + H[nh++]=0; + H[nh++]=INF; + Fox(i,N) + if (mH[i]) + H[nh++]=mH[i]; + sort(H,H+nh); + nh=unique(H,H+nh)-H; + Fox(i,N) + mH[i]=lower_bound(H,H+nh,mH[i])-H; + // DP + Fill(dynSafe,0); + Fill(dynZomb,0); + if (mH[0]) + dynZomb[1][mH[0]]=1; + else + dynSafe[1][0]=1; + Fox1(i,N-1) + { + Fill(aggr,0); + Fox(h,nh) + { + z=mH[i]; + if (d=dynSafe[i][h]) + { + // new zombie's lower anyway? + if ((!z) || (z=h) + dynZomb[i+1][z]=Add(dynZomb[i+1][z],d); + else + { + // prev zombie carrying over? + p=Prob(i-1,0,H[h]); + dynZomb[i+1][h]=Add(dynZomb[i+1][h],Mult(d,p)); + // not carrying over? + p=Sub(1,p); + if (z) // new zombie + dynZomb[i+1][z]=Add(dynZomb[i+1][z],Mult(d,p)); + else // now safe + dynSafe[i+1][0]=Add(dynSafe[i+1][0],Mult(d,p)); + } + } + } + // handle aggregated transitions + d=0; + Fox1(j,nh-1) + { + d=Add(d,aggr[j]); + if (d) + { + p=Prob(i-1,H[j-1]+1,H[j]); + dynSafe[i+1][j]=Add(dynSafe[i+1][j],Mult(d,p)); + } + } + } + // compute answer + ans=0; + Fox(h,nh) + ans=Add(ans,dynSafe[N][h]); + // output + printf("Case #%d: %d\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/round1/evening.html b/2018/round1/evening.html new file mode 100644 index 0000000000000000000000000000000000000000..54e9eda4fa7937235c9caf0935050f267b2c1f63 --- /dev/null +++ b/2018/round1/evening.html @@ -0,0 +1,73 @@ +

+A quiet evening has set over a residential area. As families sit down for supper in the safety of their homes, a calm atmosphere permeates the outside air. +The neighborhood feels truly at peace, separated from the frenzy of the rest of the world. Also, a bunch of zombies have just risen out of the ground and want to eat everybody. +

+ +

+The neighborhood has N yards in a row, numbered from 1 to N. +There are also N-1 fences, one between each pair of adjacent yards. The fence between yards i and i+1 has an unknown integral height +drawn uniformly at random from the inclusive interval [Ai, Bi]. +In other words, the ith fence has Bi - Ai + 1 possible heights, each of which is equally likely. +

+ +

+M hungry zombies are also present, with the ith of them initially in yard Yi. +Fortunately for the zombies, they might not be stopped by the surrounding fences so easily. +The ith zombie has the ability to climb over any fence with a height of at most Hi. +It may repeatedly move from its current yard to an adjacent one, as long as the fence between the yards is no taller than Hi. +Multiple zombies may start in the same yard, and multiple zombies may occupy the same yard at any point. +

+ +

+A yard is considered "safe" if it's impossible for any zombies to ever reach it. Determine the probability that at least one of the N yards is safe. +Let this probability be represented as a quotient of integers p/q in lowest terms. +Output the value of this quotient modulo 1,000,000,007 — in other words, output the unique integer x such that +0 ≤ x < 1,000,000,007 and p = x*q (modulo 1,000,000,007). +

+ + +

Input

+ +

+Input begins with an integer T, the number of neighborhoods. +For each neighborhood, there is first a line containing the space-separated integers N and M. +Then, N-1 lines follow. The ith of these lines contains the space-separated integers +Ai and Bi. +Then, M lines follow. The ith of these lines contains the space-separated integers +Yi and Hi. +

+ + +

Output

+ +

+For the ith neighborhood, print a line containing "Case #i: " +followed by 1 integer, the probability that at least one of the yards is safe, expressed as a quotient of integers modulo 1,000,000,007. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 75
+1 ≤ N ≤ 3,000
+1 ≤ M ≤ 3,000
+1 ≤ Ai ≤ Bi ≤ 1,000,000
+1 ≤ Yi ≤ N
+1 ≤ Hi ≤ 1,000,000
+

+ + +

Explanation of Sample

+ +

+In the first case, if the height of the single fence is 100, then the zombie in yard 1 will be able to climb over it to reach yard 2, meaning that no yards will be safe. Otherwise, if the fence's height is 101, then yard 2 will be safe. Therefore, the probability that at least one of the yards is safe is 1/2 = 500000004 (modulo 1,000,000,007). +

+ +

+In the second case, in order for yard 2 to be safe from both surrounding zombies, the first fence's height must be either 3 or 4, and the second fence's height must be 4. The probability of this occurring is 2/4 * 1/4 = 1/8 = 125000001 (modulo 1,000,000,007). +

+ +

+In the third case, the probability of at least one yard being safe is 2/3 = 666666672 (modulo 1,000,000,007). +

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+813 584620 +284 728277 +1180 833579 +1237 641910 +49 168658 +720 479379 +894 163801 +1561 47177 +1364 838042 +1261 502377 +787 824729 +106 180434 +1667 510517 +597 520808 +1467 873962 +1792 133619 +1721 332289 +366 629334 +789 221717 diff --git a/2018/round1/evening.md b/2018/round1/evening.md new file mode 100644 index 0000000000000000000000000000000000000000..95da4ccaf62cb94286ceab891b160840c1612cd1 --- /dev/null +++ b/2018/round1/evening.md @@ -0,0 +1,61 @@ +A quiet evening has set over a residential area. As families sit down for +supper in the safety of their homes, a calm atmosphere permeates the outside +air. The neighborhood feels truly at peace, separated from the frenzy of the +rest of the world. Also, a bunch of zombies have just risen out of the ground +and want to eat everybody. + +The neighborhood has **N** yards in a row, numbered from 1 to **N**. There are +also **N**-1 fences, one between each pair of adjacent yards. The fence +between yards _i_ and _i_+1 has an unknown integral height drawn uniformly at +random from the inclusive interval [**Ai**, **Bi**]. In other words, the _i_th +fence has **Bi** \- **Ai** \+ 1 possible heights, each of which is equally +likely. + +**M** hungry zombies are also present, with the _i_th of them initially in yard **Yi**. Fortunately for the zombies, they might not be stopped by the surrounding fences so easily. The _i_th zombie has the ability to climb over any fence with a height of at most **Hi**. It may repeatedly move from its current yard to an adjacent one, as long as the fence between the yards is no taller than **Hi**. Multiple zombies may start in the same yard, and multiple zombies may occupy the same yard at any point. + +A yard is considered "safe" if it's impossible for any zombies to ever reach +it. Determine the probability that at least one of the **N** yards is safe. +Let this probability be represented as a quotient of integers _p_/_q_ in +lowest terms. Output the value of this quotient modulo 1,000,000,007 — in +other words, output the unique integer _x_ such that 0 ≤ _x_ < 1,000,000,007 +and _p_ = _x_*_q_ (modulo 1,000,000,007). + +### Input + +Input begins with an integer **T**, the number of neighborhoods. For each +neighborhood, there is first a line containing the space-separated integers +**N** and **M**. Then, **N-1** lines follow. The _i_th of these lines contains +the space-separated integers **Ai** and **Bi**. Then, **M** lines follow. The +_i_th of these lines contains the space-separated integers **Yi** and **Hi**. + +### Output + +For the _i_th neighborhood, print a line containing "Case #_i_: " followed by +1 integer, the probability that at least one of the yards is safe, expressed +as a quotient of integers modulo 1,000,000,007. + +### Constraints + +1 ≤ **T** ≤ 75 +1 ≤ **N** ≤ 3,000 +1 ≤ **M** ≤ 3,000 +1 ≤ **Ai** ≤ **Bi** ≤ 1,000,000 +1 ≤ **Yi** ≤ **N** +1 ≤ **Hi** ≤ 1,000,000 + +### Explanation of Sample + +In the first case, if the height of the single fence is 100, then the zombie +in yard 1 will be able to climb over it to reach yard 2, meaning that no yards +will be safe. Otherwise, if the fence's height is 101, then yard 2 will be +safe. Therefore, the probability that at least one of the yards is safe is 1/2 += 500000004 (modulo 1,000,000,007). + +In the second case, in order for yard 2 to be safe from both surrounding +zombies, the first fence's height must be either 3 or 4, and the second +fence's height must be 4. The probability of this occurring is 2/4 * 1/4 = 1/8 += 125000001 (modulo 1,000,000,007). + +In the third case, the probability of at least one yard being safe is 2/3 = +666666672 (modulo 1,000,000,007). + diff --git a/2018/round1/evening.out b/2018/round1/evening.out new file mode 100644 index 0000000000000000000000000000000000000000..d65be21b3db5ba9508c50d93b6d5304f0d4c0ca2 --- /dev/null +++ b/2018/round1/evening.out @@ -0,0 +1,106 @@ +Case #1: 500000004 +Case #2: 125000001 +Case #3: 666666672 +Case #4: 417224706 +Case #5: 441220242 +Case #6: 292643605 +Case #7: 34055078 +Case #8: 243014554 +Case #9: 528371796 +Case #10: 168708976 +Case #11: 823859441 +Case #12: 340716898 +Case #13: 340647621 +Case #14: 26148474 +Case #15: 631705621 +Case #16: 530286576 +Case #17: 306741528 +Case #18: 143807222 +Case #19: 191002887 +Case #20: 296072160 +Case #21: 73014008 +Case #22: 98073449 +Case #23: 396005760 +Case #24: 70428402 +Case #25: 400557895 +Case #26: 368995513 +Case #27: 303737326 +Case #28: 808957398 +Case #29: 887009086 +Case #30: 354502857 +Case #31: 510160366 +Case #32: 341268041 +Case #33: 703024182 +Case #34: 127699992 +Case #35: 794190534 +Case #36: 848860570 +Case #37: 1 +Case #38: 951706775 +Case #39: 200141527 +Case #40: 0 +Case #41: 629558063 +Case #42: 447916778 +Case #43: 0 +Case #44: 712912438 +Case #45: 792468093 +Case #46: 742670514 +Case #47: 920329791 +Case #48: 740964382 +Case #49: 164988244 +Case #50: 712417022 +Case #51: 0 +Case #52: 529456960 +Case #53: 0 +Case #54: 39273226 +Case #55: 0 +Case #56: 655456692 +Case #57: 382761802 +Case #58: 673183761 +Case #59: 771410305 +Case #60: 0 +Case #61: 657291301 +Case #62: 651758982 +Case #63: 579231828 +Case #64: 146208960 +Case #65: 816614554 +Case #66: 0 +Case #67: 679056295 +Case #68: 919048560 +Case #69: 894313683 +Case #70: 453647882 +Case #71: 959325490 +Case #72: 0 +Case #73: 534143315 +Case #74: 428615959 +Case #75: 85677495 +Case #76: 288932301 +Case #77: 994817869 +Case #78: 375148943 +Case #79: 152853518 +Case #80: 439858143 +Case #81: 868319828 +Case #82: 387118767 +Case #83: 581407723 +Case #84: 681329671 +Case #85: 239726253 +Case #86: 753776615 +Case #87: 528662763 +Case #88: 742028182 +Case #89: 559709729 +Case #90: 838538596 +Case #91: 0 +Case #92: 100451225 +Case #93: 461467184 +Case #94: 168259494 +Case #95: 756068389 +Case #96: 878049285 +Case #97: 953140833 +Case #98: 229742768 +Case #99: 574902075 +Case #100: 658848891 +Case #101: 860048781 +Case #102: 66987724 +Case #103: 689973504 +Case #104: 491917937 +Case #105: 174726147 +Case #106: 507563359 diff --git a/2018/round1/letitflow.cpp b/2018/round1/letitflow.cpp new file mode 100644 index 0000000000000000000000000000000000000000..3f014942d615062ffa226a8a93222775df40326c --- /dev/null +++ b/2018/round1/letitflow.cpp @@ -0,0 +1,136 @@ +// Let It Flow +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define MOD 1000000007 + +int N; +char G[3][1001]; + +int Solve() +{ + int i,j,c,ans; + // impossible? + if (N%2) + return(0); + if ((G[0][0]=='#') || (G[2][N-1]=='#')) + return(0); + Fox(i,N) + if (G[1][i]=='#') + return(0); + // count + ans=1; + for (i=1; i +You've been hired for a boring plumbing installation job. You'll be installing pipes into a house which can be modeled as a grid with 3 rows and N columns. +The jth cell in the ith row of the grid is described by the character Gi,j, +and is either empty (if Gi,j = .) or is blocked by a wall (if Gi,j = #). +There's already a pipe incoming into the left edge of the top-left cell, and another pipe leaving from the right edge of the bottom-right cell. For example, the house might initially look as follows: +

+ + + +

+Your job is to install one or more additional pipes in empty cells throughout the house, such that water can successfully flow through them from the top-left pipe all the way to the bottom-right one. +You have access to a whole lot of pipes, but unfortunately they're all of a single type — elbow-shaped. +When you install such a pipe in a cell, it allows water to flow in from one edge of the cell, make a 90-degree turn either clockwise or counter-clockwise, and flow out from another edge of the cell. Each pipe may be installed in any of the following four rotations: +

+ + + +

+Pipes may only be installed into empty cells, and no cell may contain multiple pipes. So as to not waste equipment, each pipe installed must end up actually contributing to the flow of water -- in other words, you may not install a pipe if it could be removed without disrupting the flow of water from the top-left pipe to the bottom-right one. For example, the following diagram illustrates the only valid set of pipes which could be installed into the house shown above: +

+ + + +

+To make the job less boring, you're interested in counting the number of different valid sets of pipes which you might choose to install. +As this number may be large, you only want to compute its value modulo 1,000,000,007. +Two sets of pipes are considered to be different if one of them includes a pipe in a cell which is left empty in the other, or if at least one pipe is installed in a different rotation between them. +

+ + +

Input

+ +

+Input begins with an integer T, the number of houses. +For each house, there is first a line containing the integer N. +Then, 3 lines follow, each containing a string of length N containing only the characters . and #. +The jth character of the ith line is Gi,j. +

+ + +

Output

+ +

+For the ith house, print a line containing "Case #i: " +followed by the number of different valid sets of pipes which could be installed in the ith house (modulo 1,000,000,007). +

+ + +

Constraints

+ +

+1 ≤ T ≤ 100
+1 ≤ N ≤ 1,000
+

+ + +

Explanation of Sample

+ +

+In the first case, pipes can be installed only as follows: +

+ + + +

+The third case is explained in the problem statement above. +

diff --git a/2018/round1/letitflow.in b/2018/round1/letitflow.in new file mode 100644 index 0000000000000000000000000000000000000000..cc0d6dfcc11993c7d09d151ffa06d77d820f923f --- /dev/null +++ b/2018/round1/letitflow.in @@ -0,0 +1,661 @@ +165 +2 +.. +.. +.. +2 +#. +.. +.# +4 +...# +.... +.#.. +4 +..## +.... +.#.. +5 +.#... +..... +..... +8 +....#... +........ +#....... +70 +...................................................................... +...................................................................... +...................................................................... +1 +. +. +. +2 +.# +.. +#. +2 +#. +.. +.. +2 +.. +#. +.. +2 +.. +.# +.. +2 +.. +.. +.# +2 +.. +#. +.. +2 +.. +.# +.. +1000 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+660 +.....................#...#...####................#....#.#......#......#...#....#..............#......##........#.......#.#....#................##....##.....#..##......##......#.#.....#.........##..####...#...#.#...#....##...............#................##..##..##......##.....#....###..#..##.........#......##......##..##......#...........#................###........##.....####...#......#...............................................#...........#..................#.............................######........##..#................##..#........................#.....#..#..#...............##...............#............##..#....#.#.......#####..............### 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+#..#.#..........................#..........#...###........##.##............##..............##.......#..##..#...#.......##......#......#...........#....#...#.....#.....#.#...##.........#..##......#...#..............#................#....#......##........#....#.#..........#.#.##......#.....#...#..........#.........#.#####.......##.........##.####..#........##....##..#...#.#............#....##.....#...............#..........###....#..##..#........#.........#.#......##........#.##.....#..##..#..............................#....#..##...#.##....#..............#. diff --git a/2018/round1/letitflow.md b/2018/round1/letitflow.md new file mode 100644 index 0000000000000000000000000000000000000000..93189a76fac9cdeb5e7406c981b75c7aa9ca505f --- /dev/null +++ b/2018/round1/letitflow.md @@ -0,0 +1,64 @@ +You've been hired for a boring plumbing installation job. You'll be installing +pipes into a house which can be modeled as a grid with 3 rows and **N** +columns. The _j_th cell in the _i_th row of the grid is described by the +character **Gi,j**, and is either empty (if **Gi,j** = `.`) or is blocked by a +wall (if **Gi,j** = `#`). There's already a pipe incoming into the left edge +of the top-left cell, and another pipe leaving from the right edge of the +bottom-right cell. For example, the house might initially look as follows: + +![]({{PHOTO_ID:761755607898954}}) + +Your job is to install one or more additional pipes in empty cells throughout +the house, such that water can successfully flow through them from the top- +left pipe all the way to the bottom-right one. You have access to a whole lot +of pipes, but unfortunately they're all of a single type — elbow-shaped. When +you install such a pipe in a cell, it allows water to flow in from one edge of +the cell, make a 90-degree turn either clockwise or counter-clockwise, and +flow out from another edge of the cell. Each pipe may be installed in any of +the following four rotations: + +![]({{PHOTO_ID:603209650305327}}) + +Pipes may only be installed into empty cells, and no cell may contain multiple +pipes. So as to not waste equipment, each pipe installed must end up actually +contributing to the flow of water -- in other words, you may not install a +pipe if it could be removed without disrupting the flow of water from the top- +left pipe to the bottom-right one. For example, the following diagram +illustrates the only valid set of pipes which could be installed into the +house shown above: + +![]({{PHOTO_ID:273247077253892}}) + +To make the job less boring, you're interested in counting the number of +different valid sets of pipes which you might choose to install. As this +number may be large, you only want to compute its value modulo 1,000,000,007. +Two sets of pipes are considered to be different if one of them includes a +pipe in a cell which is left empty in the other, or if at least one pipe is +installed in a different rotation between them. + +### Input + +Input begins with an integer **T**, the number of houses. For each house, +there is first a line containing the integer **N**. Then, 3 lines follow, each +containing a string of length **N** containing only the characters `.` and +`#`. The _j_th character of the _i_th line is **Gi,j**. + +### Output + +For the _i_th house, print a line containing "Case #_i_: " followed by the +number of different valid sets of pipes which could be installed in the _i_th +house (modulo 1,000,000,007). + +### Constraints + +1 ≤ **T** ≤ 100 +1 ≤ **N** ≤ 1,000 + +### Explanation of Sample + +In the first case, pipes can be installed only as follows: + +![]({{PHOTO_ID:2796578177295687}}) + +The third case is explained in the problem statement above. + diff --git a/2018/round1/letitflow.out b/2018/round1/letitflow.out new file mode 100644 index 0000000000000000000000000000000000000000..1cb1cb37987a19b0f86040e19fc9a37b86fc10a7 --- /dev/null +++ b/2018/round1/letitflow.out @@ -0,0 +1,165 @@ +Case #1: 1 +Case #2: 0 +Case #3: 1 +Case #4: 0 +Case #5: 0 +Case #6: 4 +Case #7: 179869065 +Case #8: 0 +Case #9: 1 +Case #10: 0 +Case #11: 0 +Case #12: 0 +Case #13: 0 +Case #14: 0 +Case #15: 0 +Case #16: 0 +Case #17: 968386682 +Case #18: 134084614 +Case #19: 371842544 +Case #20: 968380808 +Case #21: 65536 +Case #22: 383380291 +Case #23: 628901919 +Case #24: 0 +Case #25: 526741586 +Case #26: 145353810 +Case #27: 2 +Case #28: 936761609 +Case #29: 438952513 +Case #30: 589934536 +Case #31: 742096674 +Case #32: 952742563 +Case #33: 973129099 +Case #34: 242095202 +Case #35: 422922539 +Case #36: 237058202 +Case #37: 743685088 +Case #38: 961554387 +Case #39: 524288 +Case #40: 191690599 +Case #41: 448606120 +Case #42: 118529101 +Case #43: 850474527 +Case #44: 487761806 +Case #45: 131072 +Case #46: 936761609 +Case #47: 961554387 +Case #48: 67042307 +Case #49: 369201595 +Case #50: 785032743 +Case #51: 0 +Case #52: 719476260 +Case #53: 686899292 +Case #54: 383381198 +Case #55: 112151530 +Case #56: 686899292 +Case #57: 863500302 +Case #58: 140130951 +Case #59: 0 +Case #60: 957494261 +Case #61: 993282280 +Case #62: 160130010 +Case #63: 291172004 +Case #64: 719476260 +Case #65: 747597154 +Case #66: 268169228 +Case #67: 829977023 +Case #68: 373798577 +Case #69: 794424473 +Case #70: 16384 +Case #71: 242095202 +Case #72: 885909558 +Case #73: 431750151 +Case #74: 495194301 +Case #75: 951047217 +Case #76: 684600801 +Case #77: 948232808 +Case #78: 215184675 +Case #79: 766762396 +Case #80: 495194301 +Case #81: 422922539 +Case #82: 31215317 +Case #83: 494092823 +Case #84: 873523211 +Case #85: 320260020 +Case #86: 582344008 +Case #87: 484190404 +Case #88: 512 +Case #89: 990388602 +Case #90: 755810045 +Case #91: 892516375 +Case #92: 320260020 +Case #93: 490654661 +Case #94: 588848939 +Case #95: 691690149 +Case #96: 256 +Case #97: 213932660 +Case #98: 369201595 +Case #99: 607592341 +Case #100: 747597154 +Case #101: 4096 +Case #102: 946258191 +Case #103: 213932660 +Case #104: 640520040 +Case #105: 877905026 +Case #106: 747046415 +Case #107: 249722536 +Case #108: 371842544 +Case #109: 140130951 +Case #110: 315842700 +Case #111: 249722536 +Case #112: 0 +Case #113: 112151530 +Case #114: 157921350 +Case #115: 372663667 +Case #116: 2048 +Case #117: 0 +Case #118: 280261902 +Case #119: 160130010 +Case #120: 16777216 +Case #121: 949480669 +Case #122: 145353810 +Case #123: 621940455 +Case #124: 67049563 +Case #125: 342762086 +Case #126: 766760582 +Case #127: 112151530 +Case #128: 64 +Case #129: 499445072 +Case #130: 160130010 +Case #131: 747046415 +Case #132: 961554387 +Case #133: 373798577 +Case #134: 991121103 +Case #135: 319908071 +Case #136: 64 +Case #137: 991121103 +Case #138: 242095202 +Case #139: 2048 +Case #140: 0 +Case #141: 16 +Case #142: 80065005 +Case #143: 946258191 +Case #144: 112151530 +Case #145: 270016253 +Case #146: 533524785 +Case #147: 396422633 +Case #148: 291172004 +Case #149: 543638211 +Case #150: 747046415 +Case #151: 53483165 +Case #152: 121047601 +Case #153: 842300404 +Case #154: 639816142 +Case #155: 608377687 +Case #156: 72676905 +Case #157: 982242199 +Case #158: 533521157 +Case #159: 962618637 +Case #160: 145586002 +Case #161: 898961331 +Case #162: 946258191 +Case #163: 785032743 +Case #164: 243880903 +Case #165: 319908071 diff --git a/2018/round1/platform.cpp b/2018/round1/platform.cpp new file mode 100644 index 0000000000000000000000000000000000000000..3b143bfb76212a7a77f0c94754c63e1a7b7c10b6 --- /dev/null +++ b/2018/round1/platform.cpp @@ -0,0 +1,158 @@ +// Platform Parkour +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-9; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 200000 + +int N; +int H[LIM],U[LIM],D[LIM]; + +bool Check(LD m) +{ + int i; + LD a=H[0]-m; + LD b=H[0]+m; + Fox(i,N-1) + { + a=max(a-D[i],H[i+1]-m); + b=min(b+U[i],H[i+1]+m); + if (bb) + { + swap(a,b); + swap(u,d); + } + FoxI(j,a,b-1) + { + Min(U[j],u); + Min(D[j],d); + } + } + // binary search + r1=0,r2=1e6; + while (r2>r1+EPS) + { + m=(r1+r2)/2; + if (Check(m)) + r2=m; + else + r1=m; + } + // output + printf("Case #%d: %.8lf\n",t,(double)r2); + } + return(0); +} \ No newline at end of file diff --git a/2018/round1/platform.html b/2018/round1/platform.html new file mode 100644 index 0000000000000000000000000000000000000000..227fb00d2d6c7797e18b33501e5367ac3994ef6f --- /dev/null +++ b/2018/round1/platform.html @@ -0,0 +1,105 @@ +

+You're about to put on an exciting show at your local circus — a parkour demonstration! +N platforms with adjustable heights have been set up in a row, and are numbered from 1 to N in order from left to right. +The initial height of platform i is Hi metres. +

+ +

+When the show starts, M parkourists will take the stage. +The ith parkourist will start at platform Ai, with the goal of reaching a different platform Bi. +If Bi > Ai, they'll repeatedly jump to the next platform to their right until they reach Bi. +If Bi < Ai, they'll instead repeatedly jump to the next platform to their left until they reach Bi. +All of the parkourists will complete their routes simultaneously (but don't worry, they've been trained well to not impede one another). +

+ +

+Not all parkourists are equally talented, and there are limits on how far up or down they can jump between successive platforms. +The ith parkourist's maximum upwards and downwards jump heights are Ui and Di, respectively. +This means that they're only able to move directly from platform x to some adjacent platform y if +Hx - Di ≤ Hy ≤ +Hx + Ui, +where Hx and Hy are the current heights of platforms x and y, respectively. +

+ +

+With the show about to begin, a disastrous flaw has just occurred to you — +it may not be possible for all of the parkourists to actually complete their routes with the existing arrangement of platforms! +If so, you will need to quickly adjust some of the platforms' heights first. The height of each platform may be adjusted upwards or downwards at a rate of 1 metre per second, +to any non-negative real-valued height of your choice, and multiple platforms may be adjusted simultaneously. +As such, if the initial height of platform i is Hi and its final height is Pi, +then the total time required to make your chosen height adjustments will be +max{|Hi - Pi|} over i=1..N. +

+ +

+Determine the minimum amount of time required to set up the platforms such that all M parkourists will then be able to complete their required routes. +Note that you may not perform further height adjustments once the show starts. The platform heights must all remain constant while all M parkourists complete their routes. +

+ +

+In order to reduce the size of the input data, you're given H1 and H2. +H3..N may then be generated as follows using given constants +W, X, Y, and Z (please watch out for integer overflow during this process): +

+ +

+Hi = +(W * Hi-2 + X * Hi-1 + Y) +% Z (for i=3..N) +

+ + +

Input

+ +

+Input begins with an integer T, the number of shows. +For each show, there is first a line containing the space-separated integers N and M. +The next line contains the space-separated integers H1, H2, +W, X, Y, and Z. +Then, M lines follow. The ith of these lines contains the space-separated integers +Ai, Bi, Ui, and Di. +

+ + +

Output

+ +

+For the ith show, print a line containing "Case #i: " +followed by 1 real number, the minimum amount of time required to set up the platforms (in seconds). Absolute and relative errors of up to 10-6 will be ignored. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 85
+2 ≤ N ≤ 200,000
+1 ≤ M ≤ 20
+0 ≤ Hi < Z
+0 ≤ W, X, Y < Z
+1 ≤ Z ≤ 1,000,000
+1 ≤ Ai, Bi ≤ N
+0 ≤ Ui, Di ≤ 1,000,000
+Ai, ≠ Bi
+

+ + +

Explanation of Sample

+ +

+In the first case, H = [0, 10]. +You can increase the first platform's height by 3.5 and decrease the second's by 3.5 in 3.5 seconds, yielding P = [3.5, 6.5]. +The single parkourist will then be able to successfully complete their route from platform 1 to platform 2 by jumping upwards by a height of at most 3. +

+ +

+In the second case, H = [50, 59, 55, 51, 47]. One optimal possibility is P = [54.0, 54.5, 53.5, 52.5, 51.5]. +

+ +

+In the third case, H = [46, 38, 38, 22, 8]. +

+ +

+In the fourth case, H = [53, 25, 24, 81, 77, 40, 29, 21]. +

diff --git a/2018/round1/platform.in b/2018/round1/platform.in new file mode 100644 index 0000000000000000000000000000000000000000..03c3e71c2063b34349bcf3567ba1042f273af914 --- /dev/null +++ b/2018/round1/platform.in @@ -0,0 +1,1399 @@ +125 +2 1 +0 10 0 0 0 11 +1 2 3 8 +5 1 +50 59 0 1 96 100 +1 5 2 1 +5 2 +46 38 2 4 44 50 +4 1 3 2 +3 5 4 1 +8 5 +53 25 15 23 54 100 +1 8 14 9 +3 1 5 7 +6 8 2 1 +5 4 1 8 +8 1 11 10 +100000 5 +72464 815932 291056 735002 4758 972844 +68327 29055 2880 3051 +98105 26231 3531 3141 +4018 31397 2797 3619 +92594 65725 3824 3003 +81932 8087 3372 3158 +200000 7 +143134 6139 132875 121527 127239 249427 +14865 169313 143936 69321 +199349 90994 136841 181996 +118434 32266 45436 146418 +195232 31680 31459 171076 +89152 127739 40221 38778 +95777 64757 5208 236730 +129118 173794 194829 39998 +181192 17 +67586 80266 97136 117026 33813 136727 +163169 165195 33921 47021 +96377 92346 63720 98612 +19269 1602 127463 120065 +955 14283 12302 47628 +53014 56932 66150 68413 +148519 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The initial +height of platform _i_ is **Hi** metres. + +When the show starts, **M** parkourists will take the stage. The _i_th +parkourist will start at platform **Ai**, with the goal of reaching a +different platform **Bi**. If **Bi** > **Ai**, they'll repeatedly jump to the +next platform to their right until they reach **Bi**. If **Bi** < **Ai**, +they'll instead repeatedly jump to the next platform to their left until they +reach **Bi**. All of the parkourists will complete their routes simultaneously +(but don't worry, they've been trained well to not impede one another). + +Not all parkourists are equally talented, and there are limits on how far up +or down they can jump between successive platforms. The _i_th parkourist's +maximum upwards and downwards jump heights are **Ui** and **Di**, +respectively. This means that they're only able to move directly from platform +_x_ to some adjacent platform _y_ if **Hx** \- **Di** ≤ **Hy** ≤ **Hx** \+ +**Ui**, where **Hx** and **Hy** are the current heights of platforms _x_ and +_y_, respectively. + +With the show about to begin, a disastrous flaw has just occurred to you — it +may not be possible for all of the parkourists to actually complete their +routes with the existing arrangement of platforms! If so, you will need to +quickly adjust some of the platforms' heights first. The height of each +platform may be adjusted upwards or downwards at a rate of 1 metre per second, +to any non-negative real-valued height of your choice, and multiple platforms +may be adjusted simultaneously. As such, if the initial height of platform _i_ +is **Hi** and its final height is **Pi**, then the total time required to make +your chosen height adjustments will be `max{`|**Hi** \- **Pi**|`}` over +_i_=1..**N**. + +Determine the minimum amount of time required to set up the platforms such +that all **M** parkourists will then be able to complete their required +routes. Note that you may not perform further height adjustments once the show +starts. The platform heights must all remain constant while all **M** +parkourists complete their routes. + +In order to reduce the size of the input data, you're given **H1** and **H2**. +**H3..N** may then be generated as follows using given constants **W**, **X**, +**Y**, and **Z** (please watch out for integer overflow during this process): + +**Hi** = (**W** * **Hi-2** \+ **X** * **Hi-1** \+ **Y**) % **Z** (for _i_=3..**N**) + +### Input + +Input begins with an integer **T**, the number of shows. For each show, there +is first a line containing the space-separated integers **N** and **M**. The +next line contains the space-separated integers **H1**, **H2**, **W**, **X**, +**Y**, and **Z**. Then, **M** lines follow. The _i_th of these lines contains +the space-separated integers **Ai**, **Bi**, **Ui**, and **Di**. + +### Output + +For the _i_th show, print a line containing "Case #_i_: " followed by 1 real +number, the minimum amount of time required to set up the platforms (in +seconds). Absolute and relative errors of up to 10-6 will be ignored. + +### Constraints + +1 ≤ **T** ≤ 85 +2 ≤ **N** ≤ 200,000 +1 ≤ **M** ≤ 20 +0 ≤ **Hi** < **Z** +0 ≤ **W**, **X**, **Y** < **Z** +1 ≤ **Z** ≤ 1,000,000 +1 ≤ **Ai**, **Bi** ≤ **N** +0 ≤ **Ui**, **Di** ≤ 1,000,000 +**Ai**, ≠ **Bi** + +### Explanation of Sample + +In the first case, **H** = [0, 10]. You can increase the first platform's +height by 3.5 and decrease the second's by 3.5 in 3.5 seconds, yielding **P** += [3.5, 6.5]. The single parkourist will then be able to successfully complete +their route from platform 1 to platform 2 by jumping upwards by a height of at +most 3. + +In the second case, **H** = [50, 59, 55, 51, 47]. One optimal possibility is +**P** = [54.0, 54.5, 53.5, 52.5, 51.5]. + +In the third case, **H** = [46, 38, 38, 22, 8]. + +In the fourth case, **H** = [53, 25, 24, 81, 77, 40, 29, 21]. + diff --git a/2018/round1/platform.out b/2018/round1/platform.out new file mode 100644 index 0000000000000000000000000000000000000000..f4ec6e399e94ab4f6f39ddd54975a4e753b4d1f3 --- /dev/null +++ b/2018/round1/platform.out @@ -0,0 +1,125 @@ +Case #1: 3.500000 +Case #2: 4.500000 +Case #3: 15.000000 +Case #4: 24.000000 +Case #5: 483009.500000 +Case #6: 121617.000000 +Case #7: 63881.000000 +Case #8: 151676.000000 +Case #9: 149135.000000 +Case #10: 434651.500000 +Case #11: 304751.500000 +Case #12: 124999.500000 +Case #13: 110194.000000 +Case #14: 439294.000000 +Case #15: 292662.500000 +Case #16: 0.000000 +Case #17: 279375.500000 +Case #18: 220503.000000 +Case #19: 375272.500000 +Case #20: 477650.500000 +Case #21: 19357.500000 +Case #22: 184090.000000 +Case #23: 146336.000000 +Case #24: 49160.500000 +Case #25: 89063.000000 +Case #26: 150416.000000 +Case #27: 112459.000000 +Case #28: 175011.500000 +Case #29: 138745.500000 +Case #30: 122298.000000 +Case #31: 50730.500000 +Case #32: 2935.500000 +Case #33: 68725.500000 +Case #34: 62429.500000 +Case #35: 35801.500000 +Case #36: 183532.000000 +Case #37: 184885.500000 +Case #38: 178637.500000 +Case #39: 150364.000000 +Case #40: 113707.000000 +Case #41: 215804.000000 +Case #42: 239429.500000 +Case #43: 204681.500000 +Case #44: 22267.000000 +Case #45: 0.000000 +Case #46: 197774.500000 +Case #47: 64324.500000 +Case #48: 169493.500000 +Case #49: 161034.000000 +Case #50: 0.000000 +Case #51: 158407.000000 +Case #52: 145214.000000 +Case #53: 294938.000000 +Case #54: 0.000000 +Case #55: 45936.000000 +Case #56: 0.000000 +Case #57: 128913.500000 +Case #58: 242719.000000 +Case #59: 300219.000000 +Case #60: 61285.500000 +Case #61: 81804.000000 +Case #62: 95188.000000 +Case #63: 264554.500000 +Case #64: 72845.000000 +Case #65: 138901.000000 +Case #66: 99930.000000 +Case #67: 100302.500000 +Case #68: 404671.500000 +Case #69: 312639.500000 +Case #70: 485799.000000 +Case #71: 229815.500000 +Case #72: 380480.500000 +Case #73: 274061.000000 +Case #74: 124846.500000 +Case #75: 147174.500000 +Case #76: 461263.000000 +Case #77: 149250.500000 +Case #78: 441741.500000 +Case #79: 172775.000000 +Case #80: 188538.500000 +Case #81: 276656.000000 +Case #82: 415148.000000 +Case #83: 376172.000000 +Case #84: 335229.500000 +Case #85: 438830.500000 +Case #86: 570.000000 +Case #87: 52635.500000 +Case #88: 237463.500000 +Case #89: 282957.500000 +Case #90: 225109.500000 +Case #91: 382956.500000 +Case #92: 312072.500000 +Case #93: 434296.500000 +Case #94: 397096.000000 +Case #95: 74120.000000 +Case #96: 136415.000000 +Case #97: 248116.000000 +Case #98: 292137.000000 +Case #99: 393302.000000 +Case #100: 41072.000000 +Case #101: 72865.000000 +Case #102: 188781.500000 +Case #103: 318630.500000 +Case #104: 147371.000000 +Case #105: 427059.500000 +Case #106: 285797.000000 +Case #107: 255122.000000 +Case #108: 15224.500000 +Case #109: 7382.500000 +Case #110: 453834.000000 +Case #111: 221929.000000 +Case #112: 40207.000000 +Case #113: 82071.500000 +Case #114: 337357.000000 +Case #115: 64136.000000 +Case #116: 296467.000000 +Case #117: 115037.000000 +Case #118: 43313.500000 +Case #119: 14000.500000 +Case #120: 270265.500000 +Case #121: 230939.500000 +Case #122: 367835.000000 +Case #123: 324354.500000 +Case #124: 130568.500000 +Case #125: 447342.000000 diff --git a/2018/round2/ethan_path.cpp b/2018/round2/ethan_path.cpp new file mode 100644 index 0000000000000000000000000000000000000000..73419db3c98e13e99ddb421da11e202b4c780f01 --- /dev/null +++ b/2018/round2/ethan_path.cpp @@ -0,0 +1,134 @@ +// Ethan Finds the Shortest Path +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +struct Edge { + int a,b,w; + Edge(int a,int b,int w):a(a),b(b),w(w){} +}; + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N,K; + int i,d; + vector E; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + Read(N),Read(K); + // construct graph + E.clear(); + d=K; + E.pb(Edge(1,N,K--)); + if ((N<3) || (K<2)) + d=0; + else + { + FoxI(i,2,N-1) + { + d-=K; + E.pb(Edge(i-1,i,K--)); + if ((K==1) || (i==N-1)) + { + d-=K; + E.pb(Edge(i,N,K)); + break; + } + } + } + // output + printf("Case #%d: %d\n%d\n",t,Abs(d),Sz(E)); + Fox(i,Sz(E)) + printf("%d %d %d\n",E[i].a,E[i].b,E[i].w); + } + return(0); +} \ No newline at end of file diff --git a/2018/round2/ethan_path.html b/2018/round2/ethan_path.html new file mode 100644 index 0000000000000000000000000000000000000000..e549e18ce796cb5fb24e21bdc9cf37b21786d1b6 --- /dev/null +++ b/2018/round2/ethan_path.html @@ -0,0 +1,127 @@ +

+Ethan is doing his third programming assignment: finding the shortest path between two nodes in a graph. +

+ +

+Given an undirected, weighted graph with N nodes (numbered from 1 to N), having no self-loops or duplicate edges, +Ethan must compute the length of the shortest path from node 1 to node N. Ethan has implemented an algorithm to solve this problem, described by the following pseudocode: +

+ +
    +
  1. Set i to be equal to 1, and d to be equal to 0
    2. +
  2. If i is equal to N, output d and stop
    3. +
  3. Find the edge incident to node i that has the smallest weight +(if no edges are incident to i or if there are multiple such edges tied with the smallest weight, then crash instead)
    4. +
  4. Increase d by the weight of this edge, and set i to be equal to the other node incident to this edge
    5. +
  5. Return to Step 2
    6. +
+ +

+Since you were nice to Ethan on his second assignment, and since that encouragement clearly hasn't helped improve the quality of his code, you'd like to find a graph that shows as clearly as +possible why this solution is incorrect. +

+ +

+You're given the number of nodes in the graph N, as well as the maximum allowable edge weight K +(each edge's weight must be an integer in the interval [1, K]). +Under these constraints you want to maximize the absolute difference between Ethan's output and the actual shortest distance between nodes 1 and N. +However, you don't want Ethan's algorithm to either crash or run forever. +Note that node N must actually be reachable from node 1 in the graph, though the graph may be otherwise disconnected. +You can output any valid graph which gets the job done. +

+ + +

Input

+ +

+Input begins with an integer T, the number of graphs. +For each graph, there is a line containing the space-separated integers N and K. +

+ + +

Output

+ +

+For the ith graph, first output a line containing "Case #i: " +followed by the maximum possible absolute difference between Ethan's algorithm's output and the correct answer. +Then, output a line containing as single integer E, the number of edges in your chosen graph which yields the above maximum absolute difference. +Then, output E lines, the jth of which contains three integers +Uj, Vj, and Wj denoting that +there is an edge between nodes Uj and Vj with weight Wj. +

+ +

+Note that there must be no self-loops (no edge may connect a node to itself), and no two edges may connect the same unordered pair of nodes. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 200
+2 ≤ N ≤ 50
+1 ≤ K ≤ 50
+

+ + +

Explanation of Sample

+ +

+In the first case, there are exactly two possible valid graphs, either of which would be accepted: +

+ +
+  1
+  1 2 1
+  
+  1
+  2 1 1
+
+ +

+In each of the above graphs, Ethan's algorithm's answer and the correct answer are both equal to 1. +There's an absolute difference of 0 between those answers, which is the maximum possible absolute difference. +

+ +

+In the second case, one possible graph which would be accepted is as follows (with Ethan's algorithm's answer and the correct answer both equal to 42): +

+ +
+  1
+  1 2 42
+
+ +

+In the third case, one possible graph which would be accepted is as follows (with Ethan's algorithm's answer and the correct answer both equal to 1): +

+ +
+  3
+  1 2 2
+  4 1 1
+  4 2 1
+
+ +

+Putting those together, the following is one possible sequence of outputs for the first 3 cases which would be accepted: +

+ +
+  Case #1: 0
+  1
+  1 2 1
+  Case #2: 0
+  1
+  1 2 42
+  Case #3: 0
+  3
+  1 2 2
+  4 1 1
+  4 2 1
+
+ +

+Do not output the line "Multiple possible accepted graphs". +

+ diff --git a/2018/round2/ethan_path.in b/2018/round2/ethan_path.in new file mode 100644 index 0000000000000000000000000000000000000000..dc5cd04311d92031f2ba17e7008c68d90d359dc6 --- /dev/null +++ b/2018/round2/ethan_path.in @@ -0,0 +1,410 @@ +409 +2 1 +2 50 +4 2 +5 5 +42 48 +47 38 +50 50 +50 25 +25 50 +12 48 +2 23 +26 42 +18 14 +38 46 +26 23 +47 9 +45 13 +33 4 +9 16 +14 11 +44 32 +34 39 +38 16 +28 35 +24 50 +35 9 +47 17 +37 2 +46 6 +8 43 +48 33 +21 12 +19 28 +35 38 +2 45 +38 21 +50 28 +50 39 +34 15 +49 41 +25 23 +39 4 +14 50 +26 3 +17 32 +2 31 +16 17 +41 13 +6 8 +50 26 +23 44 +29 34 +43 4 +26 29 +8 12 +20 22 +14 8 +39 32 +16 35 +48 18 +28 29 +11 34 +7 5 +27 48 +30 37 +26 11 +39 28 +9 41 +50 16 +49 42 +28 42 +24 13 +42 48 +40 21 +26 15 +12 45 +5 49 +27 3 +10 14 +10 16 +11 5 +34 23 +38 9 +44 14 +17 45 +22 17 +32 5 +12 35 +31 26 +14 18 +28 30 +4 23 +20 30 +50 38 +16 16 +22 44 +4 4 +50 1 +40 27 +3 13 +24 14 +3 2 +4 11 +3 35 +42 14 +16 48 +16 19 +34 34 +29 37 +36 42 +2 18 +33 7 +2 21 +46 17 +41 6 +3 36 +24 2 +8 47 +19 23 +7 42 +29 24 +13 7 +41 41 +21 48 +25 9 +45 6 +48 20 +31 45 +36 3 +47 33 +32 40 +11 16 +35 19 +15 11 +15 3 +5 25 +47 34 +22 28 +26 16 +43 29 +38 4 +29 22 +50 48 +44 16 +27 49 +11 10 +20 2 +40 19 +46 25 +6 32 +48 4 +33 25 +30 30 +28 11 +10 4 +42 29 +50 22 +11 27 +18 35 +31 19 +14 24 +25 43 +24 41 +28 24 +17 16 +48 15 +28 38 +20 23 +36 37 +34 4 +8 17 +7 38 +7 21 +35 20 +44 8 +23 34 +15 9 +17 9 +49 39 +8 34 +43 12 +33 30 +27 4 +40 11 +39 41 +23 50 +27 9 +42 10 +3 20 +22 38 +11 37 +2 50 +4 9 +43 37 +39 26 +47 26 +44 24 +5 21 +20 50 +27 18 +31 1 +30 40 +42 9 +34 26 +42 12 +37 37 +15 50 +21 21 +11 49 +5 40 +48 30 +46 15 +44 17 +46 27 +41 26 +48 37 +37 47 +23 3 +26 35 +34 25 +22 41 +16 3 +40 17 +12 19 +34 41 +22 14 +39 18 +15 2 +42 31 +47 1 +23 20 +49 43 +2 30 +10 41 +32 11 +30 13 +34 32 +29 48 +27 22 +39 11 +30 50 +24 40 +47 43 +49 14 +40 31 +49 15 +20 36 +13 37 +3 5 +49 8 +37 49 +29 19 +11 40 +44 35 +26 9 +50 13 +40 5 +21 10 +44 15 +41 46 +46 47 +20 21 +5 31 +16 2 +17 25 +38 34 +3 9 +34 22 +7 17 +16 33 +42 7 +46 30 +3 11 +31 48 +47 24 +28 10 +23 23 +27 31 +26 40 +50 3 +6 49 +48 36 +17 14 +19 36 +28 2 +5 23 +25 20 +21 30 +9 25 +25 12 +34 17 +35 43 +6 47 +29 44 +30 18 +4 25 +43 47 +34 7 +47 10 +45 20 +13 19 +15 19 +28 3 +46 22 +43 16 +45 45 +22 50 +38 2 +11 22 +22 18 +7 31 +10 28 +24 11 +42 16 +40 4 +25 4 +29 15 +20 5 +9 17 +25 25 +28 22 +14 27 +30 4 +31 20 +40 36 +31 34 +18 46 +7 6 +36 6 +6 10 +26 20 +46 1 +12 30 +12 49 +45 36 +48 46 +20 25 +32 7 +23 2 +21 4 +29 31 +35 10 +38 25 +26 5 +10 21 +47 28 +28 31 +6 43 +2 2 +17 6 +18 21 +11 6 +6 22 +13 4 +16 13 +2 28 +46 9 +30 26 +10 49 +27 8 +46 36 +17 33 +14 28 +50 20 +45 40 +18 3 +22 26 +29 28 +9 9 +16 49 +3 15 +37 12 +35 3 +18 29 +23 24 +34 50 +32 45 +49 24 +50 42 +43 15 +40 47 +43 19 +19 20 +46 18 +10 48 +48 47 +45 49 +21 18 +23 7 +50 19 +4 24 +41 29 +44 10 +34 13 +22 48 +24 19 +32 4 +46 35 +23 12 +17 31 +25 1 +35 26 +6 20 +15 26 +35 35 +34 11 +13 22 +28 16 +22 34 diff --git a/2018/round2/ethan_path.md b/2018/round2/ethan_path.md new file mode 100644 index 0000000000000000000000000000000000000000..3f6ba073f2381fddabd939ae1a561149a34f81ad --- /dev/null +++ b/2018/round2/ethan_path.md @@ -0,0 +1,97 @@ +Ethan is doing his third programming assignment: finding the shortest path +between two nodes in a graph. + +Given an undirected, weighted graph with **N** nodes (numbered from 1 to +**N**), having no self-loops or duplicate edges, Ethan must compute the length +of the shortest path from node 1 to node **N**. Ethan has implemented an +algorithm to solve this problem, described by the following pseudocode: + + 1. Set _i_ to be equal to 1, and _d_ to be equal to 0 + 2. If _i_ is equal to **N**, output _d_ and stop + 3. Find the edge incident to node _i_ that has the smallest weight (if no edges are incident to _i_ or if there are multiple such edges tied with the smallest weight, then crash instead) + 4. Increase _d_ by the weight of this edge, and set _i_ to be equal to the other node incident to this edge + 5. Return to Step 2 + +Since you were nice to Ethan on his second assignment, and since that +encouragement clearly hasn't helped improve the quality of his code, you'd +like to find a graph that shows as clearly as possible why this solution is +incorrect. + +You're given the number of nodes in the graph **N**, as well as the maximum +allowable edge weight **K** (each edge's weight must be an integer in the +interval [1, **K**]). Under these constraints you want to maximize the +absolute difference between Ethan's output and the actual shortest distance +between nodes 1 and **N**. However, you don't want Ethan's algorithm to either +crash or run forever. Note that node **N** must actually be reachable from +node 1 in the graph, though the graph may be otherwise disconnected. You can +output any valid graph which gets the job done. + +### Input + +Input begins with an integer **T**, the number of graphs. For each graph, +there is a line containing the space-separated integers **N** and **K**. + +### Output + +For the _i_th graph, first output a line containing "Case #_i_: " followed by +the maximum possible absolute difference between Ethan's algorithm's output +and the correct answer. Then, output a line containing as single integer +**E**, the number of edges in your chosen graph which yields the above maximum +absolute difference. Then, output **E** lines, the _j_th of which contains +three integers **Uj**, **Vj**, and **Wj** denoting that there is an edge +between nodes **Uj** and **Vj** with weight **Wj**. + +Note that there must be no self-loops (no edge may connect a node to itself), +and no two edges may connect the same unordered pair of nodes. + +### Constraints + +1 ≤ **T** ≤ 200 +2 ≤ **N** ≤ 50 +1 ≤ **K** ≤ 50 + +### Explanation of Sample + +In the first case, there are exactly two possible valid graphs, either of +which would be accepted: + + 1 + 1 2 1 + 1 + 2 1 1 + +In each of the above graphs, Ethan's algorithm's answer and the correct answer +are both equal to 1. There's an absolute difference of 0 between those +answers, which is the maximum possible absolute difference. + +In the second case, one possible graph which would be accepted is as follows +(with Ethan's algorithm's answer and the correct answer both equal to 42): + + 1 + 1 2 42 + +In the third case, one possible graph which would be accepted is as follows +(with Ethan's algorithm's answer and the correct answer both equal to 1): + + 3 + 1 2 2 + 4 1 1 + 4 2 1 + +Putting those together, the following is one possible sequence of outputs for +the first 3 cases which would be accepted: + + Case #1: 0 + 1 + 1 2 1 + Case #2: 0 + 1 + 1 2 42 + Case #3: 0 + 3 + 1 2 2 + 4 1 1 + 4 2 1 + +Do not output the line "**Multiple possible accepted graphs**". + diff --git a/2018/round2/ethan_path.out b/2018/round2/ethan_path.out new file mode 100644 index 0000000000000000000000000000000000000000..d155b0e8c0a365a53a7dcbf3638d516f58cf4cb0 --- /dev/null +++ b/2018/round2/ethan_path.out @@ -0,0 +1,7831 @@ +Case #1: 0 +1 +1 2 1 +Case #2: 0 +1 +1 2 1 +Case #3: 0 +1 +1 4 1 +Case #4: 5 +5 +1 5 5 +1 2 4 +2 3 3 +3 4 2 +4 5 1 +Case #5: 1059 +42 +1 42 48 +1 2 47 +2 3 46 +3 4 45 +4 5 44 +5 6 43 +6 7 42 +7 8 41 +8 9 40 +9 10 39 +10 11 38 +11 12 37 +12 13 36 +13 14 35 +14 15 34 +15 16 33 +16 17 32 +17 18 31 +18 19 30 +19 20 29 +20 21 28 +21 22 27 +22 23 26 +23 24 25 +24 25 24 +25 26 23 +26 27 22 +27 28 21 +28 29 20 +29 30 19 +30 31 18 +31 32 17 +32 33 16 +33 34 15 +34 35 14 +35 36 13 +36 37 12 +37 38 11 +38 39 10 +39 40 9 +40 41 8 +41 42 7 +Case #6: 665 +38 +1 47 38 +1 2 37 +2 3 36 +3 4 35 +4 5 34 +5 6 33 +6 7 32 +7 8 31 +8 9 30 +9 10 29 +10 11 28 +11 12 27 +12 13 26 +13 14 25 +14 15 24 +15 16 23 +16 17 22 +17 18 21 +18 19 20 +19 20 19 +20 21 18 +21 22 17 +22 23 16 +23 24 15 +24 25 14 +25 26 13 +26 27 12 +27 28 11 +28 29 10 +29 30 9 +30 31 8 +31 32 7 +32 33 6 +33 34 5 +34 35 4 +35 36 3 +36 37 2 +37 47 1 +Case #7: 1175 +50 +1 50 50 +1 2 49 +2 3 48 +3 4 47 +4 5 46 +5 6 45 +6 7 44 +7 8 43 +8 9 42 +9 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+ +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 2100000 + +int N,S,M; +int sz; +LL treeD[LIM],treeS[LIM]; +int lazyM[LIM]; + +void Prop(int i) +{ + int m=lazyM[i]; + if (m) + { + lazyM[i]=0; + treeS[i]=treeD[i]+m; + if (i>1; + int c=i<<1; + if (a<=m) + UpdateD(c,r1,m,a,d); + else + UpdateD(c+1,m+1,r2,a,d); + Prop(c),Prop(c+1); + treeD[i]=min(treeD[c],treeD[c+1]); + treeS[i]=min(treeS[c],treeS[c+1]); +} + +void UpdateM(int i,int r1,int r2,int a,int b,int mm) +{ + Prop(i); + if ((a<=r1) && (r2<=b)) + { + lazyM[i]=mm; + Prop(i); + return; + } + int m=(r1+r2)>>1; + int c=i<<1; + if (a<=m) + UpdateM(c,r1,m,a,b,mm); + if (b>m) + UpdateM(c+1,m+1,r2,a,b,mm); + Prop(c),Prop(c+1); + treeS[i]=min(treeS[c],treeS[c+1]); +} + +LL QueryS(int i,int r1,int r2,int a,int b) +{ + Prop(i); + if ((a<=r1) && (r2<=b)) + return(treeS[i]); + LL ret=(LL)INF*INF; + int m=(r1+r2)>>1; + int c=i<<1; + if (a<=m) + Min(ret,QueryS(c,r1,m,a,b)); + if (b>m) + Min(ret,QueryS(c+1,m+1,r2,a,b)); + return(ret); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int K,L,A,X,Y,Z; + int i,j,k,m; + LL d; + static PR P[LIM]; + static LL dyn[LIM]; + stack MD; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + Read(N),Read(S),Read(M),Read(K); + k=0; + Fox(i,K*2) + { + if (i==K) + k=0; + Read(L),Read(A),Read(X),Read(Y),Read(Z); + Fox(j,L) + { + if (i1) && (P[MD.top()].y<=P[i].y)) + MD.pop(); + UpdateM(1,0,sz-1,MD.top()+1,i,P[i].y); + MD.push(i); + // advance left marker while it's too far away + while (P[j].x +The Earth is gripped by an energy crisis. There's simply not enough to go around! Desperate to unlock additional sources of energy, James has decided to direct his attention downwards. +Perhaps enough fossils can be found underground and harvested for just a bit more fuel? +

+ +

+James has surveyed a linear stretch of ground, and has fortunately discovered N fossils beneath the surface! +From a cross-sectional view, the ith fossil is at position Pi metres along the stretch of ground, +at a depth of Di metres below the surface. No two fossils are in exactly the same spot (at both the same position and depth). +

+ +

+The next question is, of course, how the fossils might be unearthed most efficiently. James plans to dig one or more vertical mine shafts in order to access all N fossils. +A mine shaft is defined by a position p and a depth d. +Such a mine shaft can be represented as a vertical line segment at position p metres along the stretch of ground, +running from the surface to a point d metres below the surface. +James can dig such a shaft at a cost of S + d dollars, where S is a constant. +Once it has been dug, it's possible to reach fossils from the shaft by descending to the correct depth and then digging horizontally through the earth at no additional cost, +up to a distance of at most M metres away from the shaft, where M is another constant. +In other words, each fossil i is accessible from the shaft if Di ≤ d +and |Pi - p| ≤ M. +Note that a mine shaft is permitted to pass directly through a fossil (such that p = Pi for some i). +

+ +

+Help James determine the minimum total cost of mine shafts which he must dig, such that each of the N fossils will end up being accessible from at least one of the shafts. +

+ +

+In order to reduce the size of the input data, the sequences P1..N and D1..N will be derived from a series of temporary sequences +A1..(2*K), the ith of of which has a length of Li. +P1..N can be constructed by concatenating together A1..K, +while D1..N can be constructed by concatenating together A(K+1)..(2*K). +It's guaranteed that the sum of L1..K is equal to N, as is the sum of L(K+1)..(2*K). +For each sequence Ai, you're given Ai,1, +and Ai,2..Li may then be generated as follows using given constants +Xi, Yi, and Zi (please watch out for integer overflow during this process): +

+ +

+ Ai,j = +((Xi * Ai,j-1 + Yi) % Zi) + 1 +(for j = 2..Li) +

+ + +

Input

+ +

+Input begins with an integer T, the number of sets of fossils. +For each set of fossils, there is first a line containing the space-separated integers N, S, M, and K. +Then, 2 * K lines follow. The ith of these contains the space-separated integers +Li, Ai,1, Xi, Yi, and Zi. +

+ + +

Output

+ +

+For the ith set of fossils, output a line containing "Case #i: " followed by the minimum total cost of mine shafts which James must dig (in dollars). +

+ + +

Constraints

+ +

+1 ≤ T ≤ 40
+1 ≤ N ≤ 1,000,000
+0 ≤ S, M ≤ 1,000,000,000
+1 ≤ K ≤ 10
+1 ≤ Pi, Di, Ai,j ≤ 1,000,000,000
+1 ≤ Li ≤ N
+0 ≤ Xi, Yi < Zi ≤ 1,000,000,000
+

+ + +

Explanation of Sample

+ +

+In the first case, P = [5, 25] and D = [3, 4]. +James should dig a single mine shaft with p = 15 and d = 4 (at a cost of 5 + 4 = 9 dollars), from which both fossils are barely accessible. +

+ +

+In the second case, P = [5, 26] and D = [3, 4]. +James now requires two mine shafts (for example one with p = 5 and d = 3 and another with p = 26 and d = 4), +at a total cost of (5 + 3) + (5 + 4) = 17 dollars. +

+ +

+In the third case, P = [27, 11, 19, 15, 67] and D = [41, 34, 67, 40, 53]. +

+ +

+In the fourth case, P = [555, 776, 673, 654, 339, 832, 887, 370, 555, 3794, 334, 180, 2491, 2018, 2805, 2 +427, 1986, 3138, 1149, 495] and D = [20814, 20463, 40527, 38076, 18468, 10958, 25830, 23128, 28505, 10884, 32935, 116 +66, 8264, 771, 1207, 8930, 1299, 8521, 7277, 7440]. +

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+653664 55816009 54793584 1 +653664 30758149 46797723 114772450 132056721 +653664 149636291 133406986 55752212 174089471 +974468 864212640 220504007 1 +974468 207482216 133428647 109997060 432180356 +974468 228292695 164067627 245302683 364043081 +972267 836560273 66696208 1 +972267 37408888 128686209 111911881 196276284 +972267 55806665 71417701 21985229 80644021 +729904 342035465 444770407 1 +729904 189842352 233522696 854568680 888195540 +729904 371023640 273221031 266993026 411252384 +829910 981133322 72927659 1 +829910 78667038 34335107 80865502 187073398 +829910 244576536 251902875 43350975 321558735 diff --git a/2018/round2/fossil_fuels.md b/2018/round2/fossil_fuels.md new file mode 100644 index 0000000000000000000000000000000000000000..6484c536e70f9372759a2a6595333281bbf3e637 --- /dev/null +++ b/2018/round2/fossil_fuels.md @@ -0,0 +1,82 @@ +The Earth is gripped by an energy crisis. There's simply not enough to go +around! Desperate to unlock additional sources of energy, James has decided to +direct his attention downwards. Perhaps enough fossils can be found +underground and harvested for just a bit more fuel? + +James has surveyed a linear stretch of ground, and has fortunately discovered +**N** fossils beneath the surface! From a cross-sectional view, the _i_th +fossil is at position **Pi** metres along the stretch of ground, at a depth of +**Di** metres below the surface. No two fossils are in exactly the same spot +(at both the same position and depth). + +The next question is, of course, how the fossils might be unearthed most +efficiently. James plans to dig one or more vertical mine shafts in order to +access all **N** fossils. A mine shaft is defined by a position _p_ and a +depth _d_. Such a mine shaft can be represented as a vertical line segment at +position _p_ metres along the stretch of ground, running from the surface to a +point _d_ metres below the surface. James can dig such a shaft at a cost of +**S** \+ _d_ dollars, where **S** is a constant. Once it has been dug, it's +possible to reach fossils from the shaft by descending to the correct depth +and then digging horizontally through the earth at no additional cost, up to a +distance of at most **M** metres away from the shaft, where **M** is another +constant. In other words, each fossil _i_ is accessible from the shaft if +**Di** ≤ _d_ and |**Pi** \- _p_| ≤ **M**. Note that a mine shaft is permitted +to pass directly through a fossil (such that _p_ = **Pi** for some _i_). + +Help James determine the minimum total cost of mine shafts which he must dig, +such that each of the **N** fossils will end up being accessible from at least +one of the shafts. + +In order to reduce the size of the input data, the sequences **P1..N** and +**D1..N** will be derived from a series of temporary sequences **A1..(2*K)**, +the _i_th of of which has a length of **Li**. **P1..N** can be constructed by +concatenating together **A1..K**, while **D1..N** can be constructed by +concatenating together **A(K+1)..(2*K)**. It's guaranteed that the sum of +**L1..K** is equal to **N**, as is the sum of **L(K+1)..(2*K)**. For each +sequence **Ai**, you're given **Ai,1**, and **Ai,2..Li** may then be generated +as follows using given constants **Xi**, **Yi**, and **Zi** (please watch out +for integer overflow during this process): + +**Ai,j** = ((**Xi** * **Ai,j-1** \+ **Yi**) % **Zi**) + 1 (for _j_ = 2..**Li**) + +### Input + +Input begins with an integer **T**, the number of sets of fossils. For each +set of fossils, there is first a line containing the space-separated integers +**N**, **S**, **M**, and **K**. Then, 2 * **K** lines follow. The _i_th of +these contains the space-separated integers **Li**, **Ai,1**, **Xi**, **Yi**, +and **Zi**. + +### Output + +For the _i_th set of fossils, output a line containing "Case #_i_: " followed +by the minimum total cost of mine shafts which James must dig (in dollars). + +### Constraints + +1 ≤ **T** ≤ 40 +1 ≤ **N** ≤ 1,000,000 +0 ≤ **S**, **M** ≤ 1,000,000,000 +1 ≤ **K** ≤ 10 +1 ≤ **Pi**, **Di**, **Ai,j** ≤ 1,000,000,000 +1 ≤ **Li** ≤ **N** +0 ≤ **Xi**, **Yi** < **Zi** ≤ 1,000,000,000 + +### Explanation of Sample + +In the first case, **P** = [5, 25] and **D** = [3, 4]. James should dig a +single mine shaft with _p_ = 15 and _d_ = 4 (at a cost of 5 + 4 = 9 dollars), +from which both fossils are barely accessible. + +In the second case, **P** = [5, 26] and **D** = [3, 4]. James now requires two +mine shafts (for example one with _p_ = 5 and _d_ = 3 and another with _p_ = +26 and _d_ = 4), at a total cost of (5 + 3) + (5 + 4) = 17 dollars. + +In the third case, **P** = [27, 11, 19, 15, 67] and **D** = [41, 34, 67, 40, +53]. + +In the fourth case, **P** = [555, 776, 673, 654, 339, 832, 887, 370, 555, +3794, 334, 180, 2491, 2018, 2805, 2 427, 1986, 3138, 1149, 495] and **D** = +[20814, 20463, 40527, 38076, 18468, 10958, 25830, 23128, 28505, 10884, 32935, +116 66, 8264, 771, 1207, 8930, 1299, 8521, 7277, 7440]. + diff --git a/2018/round2/fossil_fuels.out b/2018/round2/fossil_fuels.out new file mode 100644 index 0000000000000000000000000000000000000000..606d5440633b211a81568755410008f7bed807c0 --- /dev/null +++ b/2018/round2/fossil_fuels.out @@ -0,0 +1,98 @@ +Case #1: 9 +Case #2: 17 +Case #3: 190 +Case #4: 60341 +Case #5: 3589308654 +Case #6: 692 +Case #7: 1157464 +Case #8: 49759710 +Case #9: 4469506023544 +Case #10: 49976491600 +Case #11: 4999835400 +Case #12: 90692 +Case #13: 1990498007500002 +Case #14: 223812040 +Case #15: 257459742 +Case #16: 27333455 +Case #17: 210321643 +Case #18: 317850407 +Case #19: 374570188 +Case #20: 382001155 +Case #21: 165500803 +Case #22: 367501665 +Case #23: 247995616 +Case #24: 2280493807005 +Case #25: 1044530410260 +Case #26: 415028407464 +Case #27: 389143080390 +Case #28: 652583882 +Case #29: 316500124 +Case #30: 399501104 +Case #31: 420313680818 +Case #32: 386001394 +Case #33: 419002069 +Case #34: 728786267 +Case #35: 3896576787 +Case #36: 1650825114 +Case #37: 479690849 +Case #38: 1530214704 +Case #39: 2073067030 +Case #40: 1376202801 +Case #41: 3536927316 +Case #42: 547836264 +Case #43: 1872179045 +Case #44: 1278626924 +Case #45: 993042416 +Case #46: 2356795135 +Case #47: 714449840 +Case #48: 1406606671 +Case #49: 1019235579 +Case #50: 516941749 +Case #51: 621235151 +Case #52: 1991445518 +Case #53: 2470341162 +Case #54: 1602539496 +Case #55: 708275248 +Case #56: 826514946 +Case #57: 1136474639 +Case #58: 3092889670 +Case #59: 1069132708 +Case #60: 2206044258 +Case #61: 756236664 +Case #62: 1285696062 +Case #63: 1491236683 +Case #64: 936580494 +Case #65: 1682653846 +Case #66: 1141649135 +Case #67: 1378653698 +Case #68: 2286405619 +Case #69: 772470973 +Case #70: 1520105685 +Case #71: 1001431090 +Case #72: 763249415 +Case #73: 1327859968 +Case #74: 3363667580 +Case #75: 1021641540 +Case #76: 1631046112 +Case #77: 1451244003 +Case #78: 3181526140 +Case #79: 2693218238 +Case #80: 1937493899 +Case #81: 1040596922 +Case #82: 675677999 +Case #83: 1519081942 +Case #84: 1172436251 +Case #85: 1141368574 +Case #86: 1127473564 +Case #87: 2972173813 +Case #88: 1835984070 +Case #89: 2231909106 +Case #90: 817539822 +Case #91: 3439749864 +Case #92: 1909760608 +Case #93: 1093479830 +Case #94: 459809853 +Case #95: 1228255008 +Case #96: 1834408233 +Case #97: 753287644 +Case #98: 2605380261 diff --git a/2018/round2/jacks_candy_shop.cpp b/2018/round2/jacks_candy_shop.cpp new file mode 100644 index 0000000000000000000000000000000000000000..cbd4b3d09cb46f641675a0f45bdc0a4980eda9d2 --- /dev/null +++ b/2018/round2/jacks_candy_shop.cpp @@ -0,0 +1,74 @@ +// Jack's Candy Shop +// Solution by Adel Aly + +#include +#include +#include +#include +#include +#include + +using namespace std; + +const int MAXN = 2e5 + 10; +const int MAXM = 1e6 + 10; + +int cands[MAXN], qIdx[MAXN]; +long long ans; +priority_queue Q[MAXN]; +vector adj[MAXN]; + +void solve(int n) { + int myIdx = n, otherIdx; + if (adj[n].size() > 0) { + solve(adj[n][0]); + myIdx = qIdx[adj[n][0]]; + for (int j = 1; j < adj[n].size(); ++j) { + solve(adj[n][j]); + otherIdx = qIdx[adj[n][j]]; + if (Q[otherIdx].size() > Q[myIdx].size()) { + swap(otherIdx, myIdx); + } + + while (!Q[otherIdx].empty()) { + Q[myIdx].push(Q[otherIdx].top()); + Q[otherIdx].pop(); + } + } + } + qIdx[n] = myIdx; + Q[myIdx].push(n); + while ((cands[n]--) && (!Q[myIdx].empty())) { + ans += Q[myIdx].top(); + Q[myIdx].pop(); + } +} + +int main() { + int T, N, M, A, B, p; + cin >> T; + + for (int tt = 1; tt <= T; ++tt) { + ans = 0; + cin >> N >> M >> A >> B; + memset(cands, 0, MAXN * sizeof(int)); + ans = 0; + for (int i = 0; i < N; i++) { + adj[i].clear(); + while (!Q[i].empty()) { + Q[i].pop(); + } + } + for (int i = 1; i < N; i++) { + cin >> p; + adj[p].push_back(i); + } + for (int i = 0; i < M; i++) { + long long x = (1LL * A * i + B) % N; + ++cands[x]; + } + solve(0); + cout << "Case #" << tt << ": " << ans << endl; + } + return (0); +} diff --git a/2018/round2/jacks_candy_shop.html b/2018/round2/jacks_candy_shop.html new file mode 100644 index 0000000000000000000000000000000000000000..58fab1ffc924380dbd1b1446f6ec2aafbb947ae2 --- /dev/null +++ b/2018/round2/jacks_candy_shop.html @@ -0,0 +1,73 @@ +

+Jack is a little boy with big dreams: to own the biggest candy shop in the world! He's off to a modest start with N candies for sale, numbered from 0 to N - 1. +The price of candy i is i dollars. In his shop's front window, Jack has arranged his candies in the shape of a tree rooted at candy 0, +with the parent of each other candy i (1 ≤ i < N) being candy Pi. +

+ +

+M other kids in Jack's neighbourhood have agreed to come by and be his first customers! Jack has assigned them customer numbers from 0 to M - 1. +Unfortunately, these kids are a bit picky when it comes to sweets. Customer i only likes candies within the subtree rooted at candy Ci. +This means that they're only willing to purchase a candy if it's either candy Ci, or one of its children, or one of its childrens' children, and so on. +They also have amazing self-restraint — each customer will limit themselves to buying at most one candy. +

+ +

+For each of the M customers, Jack may either sell them any single candy of his choice within the customer's required subtree, or no candy at all. +Each of the N candies may be sold to at most one customer. Jack is willing to do whatever it takes to achieve his dreams, +even if it means extorting as much cash as possible from fellow children. As such, he'd like to choose candies to sell such that the sum of their prices is maximized. +Can you help him determine this maximum sum of candy prices? +

+ +

+In order to reduce the size of the input data, C0..M-1 may be generated as follows using given constants A and B: +

+ +

+Ci = (A * i + B) % N (for i = 0 .. M - 1) +

+ +

Input

+ +

+Input begins with an integer T, the number of trees. +For each tree, there is first a line containing the space-separated integers N, M, A, and B. +Then N - 1 lines follow, the ith of which (1-indexed) contains the single integer Pi. +

+ + +

Output

+ +

+For the ith tree, output a line containing "Case #i: " followed by the maximum possible sum of prices of candies which Jack can sell. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 20
+1 ≤ N ≤ 200,000
+0 ≤ M ≤ 1,000,000
+0 ≤ A, B, Pi, Ci < N
+

+ +

+It is guaranteed that each test case describes a single valid tree rooted at candy 0. + + + +

Explanation of Sample

+ +

+In the first case, C = [0]. +The only customer can be sold any candy in candy 0's subtree, which includes candies 0 and 1. Jack should choose to sell them candy 1, which has a price of 1 dollar. +

+ +

+In the second case, C = [2, 0, 2]. +Jack should sell candy 2 to customer 0, candy 3 to customer 1, and no candy to customer 2. The sum of these candy prices is 2 + 3 = 5 dollars. +

+ +

+In the third case, C = [4, 6, 0, 2]. +

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big dreams: to own the biggest candy shop in the +world! He's off to a modest start with **N** candies for sale, numbered from 0 +to **N** \- 1. The price of candy _i_ is _i_ dollars. In his shop's front +window, Jack has arranged his candies in the shape of a tree rooted at candy +0, with the parent of each other candy _i_ (1 ≤ _i_ < **N**) being candy +**Pi**. + +**M** other kids in Jack's neighbourhood have agreed to come by and be his first customers! Jack has assigned them customer numbers from 0 to **M** \- 1. Unfortunately, these kids are a bit picky when it comes to sweets. Customer _i_ only likes candies within the subtree rooted at candy **Ci**. This means that they're only willing to purchase a candy if it's either candy **Ci**, or one of its children, or one of its childrens' children, and so on. They also have amazing self-restraint — each customer will limit themselves to buying at most one candy. + +For each of the **M** customers, Jack may either sell them any single candy of +his choice within the customer's required subtree, or no candy at all. Each of +the **N** candies may be sold to at most one customer. Jack is willing to do +whatever it takes to achieve his dreams, even if it means extorting as much +cash as possible from fellow children. As such, he'd like to choose candies to +sell such that the sum of their prices is maximized. Can you help him +determine this maximum sum of candy prices? + +In order to reduce the size of the input data, **C0..M-1** may be generated as +follows using given constants **A** and **B**: + +**Ci** = (**A** * _i_ \+ **B**) % **N** (for _i_ = 0 .. **M** \- 1) + +### Input + +Input begins with an integer **T**, the number of trees. For each tree, there +is first a line containing the space-separated integers **N**, **M**, **A**, +and **B**. Then **N** \- 1 lines follow, the _i_th of which (1-indexed) +contains the single integer **Pi**. + +### Output + +For the _i_th tree, output a line containing "Case #_i_: " followed by the +maximum possible sum of prices of candies which Jack can sell. + +### Constraints + +1 ≤ **T** ≤ 20 +1 ≤ **N** ≤ 200,000 +0 ≤ **M** ≤ 1,000,000 +0 ≤ **A**, **B**, **Pi**, **Ci** < **N** + +It is guaranteed that each test case describes a single valid tree rooted at +candy 0. ** + +### Explanation of Sample + +In the first case, **C** = [0]. The only customer can be sold any candy in +candy 0's subtree, which includes candies 0 and 1. Jack should choose to sell +them candy 1, which has a price of 1 dollar. + +In the second case, **C** = [2, 0, 2]. Jack should sell candy 2 to customer 0, +candy 3 to customer 1, and no candy to customer 2. The sum of these candy +prices is 2 + 3 = 5 dollars. + +In the third case, **C** = [4, 6, 0, 2]. + diff --git a/2018/round2/jacks_candy_shop.out b/2018/round2/jacks_candy_shop.out new file mode 100644 index 0000000000000000000000000000000000000000..088ee964901f6ade5fc28b6084ad0b147d0aa6a9 --- /dev/null +++ b/2018/round2/jacks_candy_shop.out @@ -0,0 +1,104 @@ +Case #1: 1 +Case #2: 5 +Case #3: 20 +Case #4: 165 +Case #5: 15893046865 +Case #6: 15039869800 +Case #7: 31321043 +Case #8: 531088 +Case #9: 0 +Case #10: 499500 +Case #11: 20981 +Case #12: 57272 +Case #13: 17979 +Case #14: 131 +Case #15: 40057 +Case #16: 9062 +Case #17: 96235 +Case #18: 385 +Case #19: 4990 +Case #20: 31448 +Case #21: 78549 +Case #22: 7981 +Case #23: 4 +Case #24: 26626 +Case #25: 130118 +Case #26: 11969 +Case #27: 1032 +Case #28: 86492 +Case #29: 7942 +Case #30: 28999 +Case #31: 111397 +Case #32: 16182 +Case #33: 68349 +Case #34: 87830 +Case #35: 170000 +Case #36: 35701 +Case #37: 96363 +Case #38: 73094 +Case #39: 14501 +Case #40: 149516 +Case #41: 36927 +Case #42: 32098 +Case #43: 607 +Case #44: 65585 +Case #45: 59832 +Case #46: 16882 +Case #47: 107123 +Case #48: 18081 +Case #49: 99940 +Case #50: 32636 +Case #51: 3426 +Case #52: 49571 +Case #53: 17979 +Case #54: 131 +Case #55: 40057 +Case #56: 9062 +Case #57: 96235 +Case #58: 385 +Case #59: 4990 +Case #60: 31448 +Case #61: 78549 +Case #62: 7981 +Case #63: 4 +Case #64: 26626 +Case #65: 130118 +Case #66: 11969 +Case #67: 1032 +Case #68: 86492 +Case #69: 7942 +Case #70: 28999 +Case #71: 111397 +Case #72: 16182 +Case #73: 68349 +Case #74: 87830 +Case #75: 170000 +Case #76: 35701 +Case #77: 96363 +Case #78: 73094 +Case #79: 14501 +Case #80: 149516 +Case #81: 36927 +Case #82: 32098 +Case #83: 607 +Case #84: 65585 +Case #85: 59832 +Case #86: 16882 +Case #87: 107123 +Case #88: 18081 +Case #89: 99940 +Case #90: 32636 +Case #91: 3426 +Case #92: 49571 +Case #93: 17979 +Case #94: 131 +Case #95: 40057 +Case #96: 9062 +Case #97: 96235 +Case #98: 385 +Case #99: 4990 +Case #100: 31448 +Case #101: 78549 +Case #102: 7981 +Case #103: 4 +Case #104: 26626 diff --git a/2018/round2/replay_value.cpp b/2018/round2/replay_value.cpp new file mode 100644 index 0000000000000000000000000000000000000000..c118de0ba0a3cf8f85ff83e49aa2bf744d39e1be --- /dev/null +++ b/2018/round2/replay_value.cpp @@ -0,0 +1,208 @@ +// Replay Value +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 52 +#define MOD 1000000007 + +int dyn[2][LIM][LIM][LIM][LIM]; +// dyn[i][a][b][c][d] = number of ways such that: +// i = laser index +// a = lowest Up +// b = highest Down +// c = lowest Right in regions 1/2 +// d = highest Right in region 3 + +int N; +vector cy; + +void ReadY(int &y) +{ + Read(y),cy.pb(y); +} + +void CompY(int &y) +{ + y=lower_bound(All(cy),y)-cy.begin(); +} + +void Flip(int &v) +{ + v=N+1-v; +} + +void Add(int &a,int b) +{ + a+=b; + if (a>=MOD) + a-=MOD; +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int YA,YB; + int i,a,b,c,d,y,r,v,m,ans; + int A,B; + PR P[LIM]; + // testcase loop + Read(T); + Fox1(t,T) + { + // init + cy.clear(); + // input + Read(N),ReadY(YA),ReadY(YB); + Fox(i,N) + Read(P[i].x),ReadY(P[i].y); + // compress y-coordinates + sort(All(cy)); + CompY(YA),CompY(YB); + Fox(i,N) + CompY(P[i].y); + // mirror y-axis such that B is below A + if (YAYA ? 1 : (y>YB ? 2 : 3)); + // perform transitions + Fox(a,N+2) + Fox(b,N+2) + Fox(c,N+2) + Fox(d,N+2) + if (v=dyn[A][a][b][c][d]) + { + // up + if (y>=d) + Add(dyn[B][min(a,y)][b][c][d],v); + // down + if (y<=c) + Add(dyn[B][a][max(b,y)][c][d],v); + // left + if ((r==1 && y>=b) || (r>1 && y<=a)) + Add(dyn[B][a][b][c][d],v); + // right + if (r<3) + Add(dyn[B][a][b][min(c,y)][d],v); + else + Add(dyn[B][a][b][c][max(d,y)],v); + } + } + // compute answer + ans=1; + Fox(i,N) + ans=(LL)ans*4%MOD; + v=0; + Fox(a,N+2) + Fox(b,N+2) + Fox(c,N+2) + Fox(d,N+2) + Add(v,dyn[B][a][b][c][d]); + ans=(ans-v+MOD)%MOD; + // output + printf("Case #%d: %d\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/round2/replay_value.html b/2018/round2/replay_value.html new file mode 100644 index 0000000000000000000000000000000000000000..153c764ab0c312b6157ee189fb4c30378a0ac5cd --- /dev/null +++ b/2018/round2/replay_value.html @@ -0,0 +1,62 @@ +

+Allison has just developed the latest addictive mobile game: Super Path Drawer: Extreme Edition! +

+ +

+This game takes place on an infinite 2D plane (thanks to advancements in graphical technology, the entire plane can fit onto a mobile phone screen). +Two distinct points on the plane are chosen: a starting point (at coordinates (0, S)), and an ending point (at coordinates (1,000,000,000, E)). +The player's goal is to draw a path from the starting point to the ending point. The path may be any continuous curve on the plane (not necessarily a straight line segment), and may cross itself. +If the player successfully draws such a path, they're rewarded with a "point", thus convincing them that their time is being put to good use. +If they fail to draw such a path, they're instead forced to watch an ad, thus motivating them to do better on their next attempt. +

+ +

+By itself, this game is certainly addicting, but it doesn't seem to cause players to watch enough ads! So, as a last-minute addition, Allison has inserted some lasers. +There are N laser emitters, the ith of which is at (Xi, Yi). +Each emitter will emit a laser beam either directly up, down, left, or right. The laser beam is a ray starting from the emitter's position (inclusive) and continuing infinitely in the selected direction. +Naturally, the player's path may not touch any part of any laser beam. All N+2 x-coordinates (of the starting point, ending point, and laser emitters) are distinct, +and all N+2 y-coordinates are also distinct, meaning that it's impossible for a laser beam to ever directly hit the starting point, ending point, or another emitter. +

+ +

+Allison hasn't programmed in the capability for moving laser emitters around, but she can at least cause them to emit their laser beams in different combinations of directions each time a player replays the game. She's concerned that players will get bored as soon as they encounter a laser configuration which they've already seen, so she'll make sure that each player is presented with each of the 4N possible different laser configurations exactly once. +

+ +

+Some laser configurations result in the ending point still being reachable from the starting point by some continuous path which doesn't touch any laser beams, +in which case players will surely manage to find such a path. But for other laser configurations, no valid path exists at all, resulting in a forced ad showcase. +Allison would like to count the total number of ads which a player will end up watching upon playing the game once for each of the +4N possible different laser configurations. As this value can be large, you only need to compute it modulo 1,000,000,007. +

+ + +

Input

+ +

+Input begins with an integer T, the number of sets of lasers. +For each set of lasers, there is first a line containing the space-separated integers N, S, and E. +Then, N lines follow. The ith of these contains the space-separated integers Xi and Yi. +

+ + +

Output

+ +

+For the ith set of lasers, output a line containing "Case #i: " followed by the number of ads shown to each player, modulo 1,000,000,007. +

+ +

Constraints

+ +

+1 ≤ T ≤ 30
+1 ≤ N ≤ 50
+0 ≤ S, E, Xi, Yi ≤ 1,000,000,000
+

+ + +

Explanation of Sample

+ +

+In the first case, 11 of the 64 possible laser configurations result in the ending point being unreachable from the starting point. One such configuration is when the first emitter points down, the second points up, and the third points right. Another is when the first emitter points down, the second points left, and the third points down. +

+ diff --git a/2018/round2/replay_value.in b/2018/round2/replay_value.in new file mode 100644 index 0000000000000000000000000000000000000000..1c735844c3734454f0aa2f77e30212210167d812 --- /dev/null +++ b/2018/round2/replay_value.in @@ -0,0 +1,2549 @@ +104 +3 100 1000 +3333 3333 +4321 123 +1234 567 +4 0 50 +30 30 +10 10 +40 20 +20 40 +7 61 34 +241 69 +924 30 +580 70 +649 68 +453 15 +599 82 +242 81 +20 167851000 757147 +336971124 301413356 +160567225 659598368 +4890851 391749387 +26239572 35766290 +597006 473038164 +326051436 3615544 +118341522 392289610 +37215528 170427798 +168544290 675016433 +950090226 683447133 +116752251 82426872 +706221268 194041604 +257655783 69909134 +21417562 84970743 +40873980 37379060 +80835680 8670528 +653352030 436291072 +374079500 106923810 +86546364 466701606 +480572136 247776867 +50 18589266 803705043 +944712569 873478544 +918861907 655714741 +750664721 822860056 +742066371 230077556 +509530363 134786933 +699655096 535558588 +250997192 268065591 +775710612 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78464760 +784502404 799630015 +175594833 456523460 +843516894 518062459 +629539140 781718062 +666546462 440023577 +736653340 840516946 +776949815 63062621 +152924056 967343068 +766516802 294284457 +814765332 293261726 +974501670 72871032 +514960658 7772643 +9 476711828 260705768 +572672203 399176117 +927495708 169800636 +313826997 566133543 +213045978 760082557 +754251836 578882840 +287092037 332278416 +610353703 241350339 +140079502 553851605 +785075955 332044047 diff --git a/2018/round2/replay_value.md b/2018/round2/replay_value.md new file mode 100644 index 0000000000000000000000000000000000000000..de32e1e858e8d7f09ae1b9cc2a467421dd04d6c0 --- /dev/null +++ b/2018/round2/replay_value.md @@ -0,0 +1,70 @@ +Allison has just developed the latest addictive mobile game: **Super Path +Drawer: Extreme Edition**! + +This game takes place on an infinite 2D plane (thanks to advancements in +graphical technology, the entire plane can fit onto a mobile phone screen). +Two distinct points on the plane are chosen: a starting point (at coordinates +(0, **S**)), and an ending point (at coordinates (1,000,000,000, **E**)). The +player's goal is to draw a path from the starting point to the ending point. +The path may be any continuous curve on the plane (not necessarily a straight +line segment), and may cross itself. If the player successfully draws such a +path, they're rewarded with a "point", thus convincing them that their time is +being put to good use. If they fail to draw such a path, they're instead +forced to watch an ad, thus motivating them to do better on their next +attempt. + +By itself, this game is certainly addicting, but it doesn't seem to cause +players to watch enough ads! So, as a last-minute addition, Allison has +inserted some lasers. There are **N** laser emitters, the _i_th of which is at +(**Xi**, **Yi**). Each emitter will emit a laser beam either directly up, +down, left, or right. The laser beam is a ray starting from the emitter's +position (inclusive) and continuing infinitely in the selected direction. +Naturally, the player's path may not touch any part of any laser beam. All +**N**+2 x-coordinates (of the starting point, ending point, and laser +emitters) are distinct, and all **N**+2 y-coordinates are also distinct, +meaning that it's impossible for a laser beam to ever directly hit the +starting point, ending point, or another emitter. + +Allison hasn't programmed in the capability for moving laser emitters around, +but she can at least cause them to emit their laser beams in different +combinations of directions each time a player replays the game. She's +concerned that players will get bored as soon as they encounter a laser +configuration which they've already seen, so she'll make sure that each player +is presented with each of the 4**N** possible different laser configurations +exactly once. + +Some laser configurations result in the ending point still being reachable +from the starting point by some continuous path which doesn't touch any laser +beams, in which case players will surely manage to find such a path. But for +other laser configurations, no valid path exists at all, resulting in a forced +ad showcase. Allison would like to count the total number of ads which a +player will end up watching upon playing the game once for each of the 4**N** +possible different laser configurations. As this value can be large, you only +need to compute it modulo 1,000,000,007. + +### Input + +Input begins with an integer **T**, the number of sets of lasers. For each set +of lasers, there is first a line containing the space-separated integers +**N**, **S**, and **E**. Then, **N** lines follow. The _i_th of these contains +the space-separated integers **Xi** and **Yi**. + +### Output + +For the _i_th set of lasers, output a line containing "Case #_i_: " followed +by the number of ads shown to each player, modulo 1,000,000,007. + +### Constraints + +1 ≤ **T** ≤ 30 +1 ≤ **N** ≤ 50 +0 ≤ **S**, **E**, **Xi**, **Yi** ≤ 1,000,000,000 + +### Explanation of Sample + +In the first case, 11 of the 64 possible laser configurations result in the +ending point being unreachable from the starting point. One such configuration +is when the first emitter points down, the second points up, and the third +points right. Another is when the first emitter points down, the second points +left, and the third points down. + diff --git a/2018/round2/replay_value.out b/2018/round2/replay_value.out new file mode 100644 index 0000000000000000000000000000000000000000..7989bbe3c1c6b5dd8441bfed7773ba8e296e1c34 --- /dev/null +++ b/2018/round2/replay_value.out @@ -0,0 +1,104 @@ +Case #1: 11 +Case #2: 80 +Case #3: 6799 +Case #4: 981633474 +Case #5: 853956252 +Case #6: 224024283 +Case #7: 0 +Case #8: 0 +Case #9: 572526063 +Case #10: 940944013 +Case #11: 894285611 +Case #12: 0 +Case #13: 262 +Case #14: 262895727 +Case #15: 40 +Case #16: 439159471 +Case #17: 998386807 +Case #18: 525556995 +Case #19: 641598086 +Case #20: 253522672 +Case #21: 252890307 +Case #22: 518537596 +Case #23: 474850121 +Case #24: 88286384 +Case #25: 100979960 +Case #26: 69959063 +Case #27: 164134 +Case #28: 835361497 +Case #29: 1396 +Case #30: 35737 +Case #31: 0 +Case #32: 473768703 +Case #33: 56450686 +Case #34: 46 +Case #35: 956458784 +Case #36: 4 +Case #37: 0 +Case #38: 406 +Case #39: 66295576 +Case #40: 14306756 +Case #41: 827422176 +Case #42: 61353886 +Case #43: 950938867 +Case #44: 75006225 +Case #45: 372810825 +Case #46: 271029281 +Case #47: 127131455 +Case #48: 1968 +Case #49: 445705569 +Case #50: 290009010 +Case #51: 542580230 +Case #52: 30544 +Case #53: 138222578 +Case #54: 966060214 +Case #55: 652993309 +Case #56: 739624 +Case #57: 765026343 +Case #58: 492463815 +Case #59: 944518397 +Case #60: 627087067 +Case #61: 317342881 +Case #62: 798732110 +Case #63: 176949424 +Case #64: 411901643 +Case #65: 382469937 +Case #66: 885249777 +Case #67: 951713456 +Case #68: 55312933 +Case #69: 735094 +Case #70: 31665948 +Case #71: 10 +Case #72: 54683437 +Case #73: 451957598 +Case #74: 13241728 +Case #75: 1 +Case #76: 777607105 +Case #77: 759817829 +Case #78: 928646175 +Case #79: 86457474 +Case #80: 8552734 +Case #81: 559925580 +Case #82: 839623515 +Case #83: 896278556 +Case #84: 933128998 +Case #85: 661278082 +Case #86: 506014825 +Case #87: 185536 +Case #88: 1120 +Case #89: 11938240 +Case #90: 565460867 +Case #91: 34943301 +Case #92: 0 +Case #93: 976633553 +Case #94: 95157103 +Case #95: 459539713 +Case #96: 988816227 +Case #97: 745101754 +Case #98: 59395936 +Case #99: 88898254 +Case #100: 4 +Case #101: 797275691 +Case #102: 899043823 +Case #103: 416472239 +Case #104: 132952 diff --git a/2018/round3/ethan_max_subarray.cpp b/2018/round3/ethan_max_subarray.cpp new file mode 100644 index 0000000000000000000000000000000000000000..5690d3118ef50a2cc6c43c5239e94b23f7ffb878 --- /dev/null +++ b/2018/round3/ethan_max_subarray.cpp @@ -0,0 +1,142 @@ +// Ethan Finds the Maximum Subarray Sum +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N,K; + int i,m,w,s,c,ans; + int A[100]; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + Read(N),Read(K); + N=N*2-1; + m=0; + Fox(i,N) + if (i%2==0) + Read(A[i]),Max(m,A[i]); + if (A[N-1]<0) + N--; + // consider each possible value w for Ethan's answer + ans=0; + FoxI(w,m,N*K+1) + { + // greedily fill in values + s=c=0; + FoxI(i,(A[0]<0 ? 1 : 0),N-1) + if (i%2==0) // forced value? + { + s+=A[i]; + if (A[i]>=0) + c+=A[i]; + else + c=0; + } + else + if (i==N-1) // last value? + { + if (c+K<=w) // fill with K if possible + s+=K,c+=K; + } + else + if (((A[i+1]<0) && (c+K<=w)) || ((A[i+1]>=0) && (c+K+A[i+1]<=w))) // can fill with K? + s+=K,c+=K; + else + s--,c=0; // fill with -1 otherwise + Max(ans,s-w); + } + // output + printf("Case #%d: %d\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/round3/ethan_max_subarray.html b/2018/round3/ethan_max_subarray.html new file mode 100644 index 0000000000000000000000000000000000000000..27a2564681c3f21c912621031c3eca876158b071 --- /dev/null +++ b/2018/round3/ethan_max_subarray.html @@ -0,0 +1,80 @@ +

+In preparation for his final exam, Ethan is doing his fourth programming assignment: finding the subarray with the maximum sum in an array of integers. +

+ +

+Given an array of N integers A1..N, +Ethan's task is to find the maximum sum of any (possibly empty) contiguous subarray of A. +Ethan has implemented an algorithm to solve this problem, described by the following pseudocode: +

+ +
    +
  •     1. Set s and m to both be equal to 0.
    • +
  •     2. Iterate i upwards from 1 to N:
    • +
  •       2a. If Ai ≥ 0, increment s by Ai, +otherwise set s to be equal to 0.
    • +
  •       2b. If s > m, set m to be equal to s.
    • +
  •     3. Output m.
    • +
+ +

+Is there any hope for Ethan? With exasperation, you set out in vain to teach another lesson. +

+ +

+The professor of the class has once again left you with some half-written test cases. +You're given an initial array B1..M, such that the absolute value of each element is at most K. +You'd like to insert M - 1 more integers into the array, one between each pair of adjacent elements in the original array, +to construct a new array A1..N where N = 2M - 1. + Each of the inserted elements must likewise have an absolute value of at most K. +You'll then feed the new array A into Ethan's algorithm. +Your goal is to maximize the absolute difference between the final array's correct maximum subarray sum and the output of Ethan's algorithm. +

+ + +

Input

+ +

+Input begins with an integer T, the number of test cases. +For each test case, there is first a line containing the space-separated integers M and K. +Then one more line follows containing the M space-separated integers B1 through BM. +

+ + +

Output

+ +

+For the ith test case, output a line containing "Case #i: " +followed by the maximum possible absolute difference between the correct maximum subarray sum and the output of Ethan's algorithm. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 60
+1 ≤ M ≤ 50
+1 ≤ K ≤ 50
+-K ≤ Ai ≤ K
+

+ + +

Explanation of Sample

+ +

+In the first case, A = [3], and both Ethan's answer and the correct answer are equal to 3. +

+ +

+In the second case, A = [-3], and both Ethan's answer and the correct answer are equal to 0. +

+ +

+In the third case, one value will be inserted into B, and you should choose to insert -1 to yield A = [2, -1, 2]. +This results in Ethan's answer being 2 and the correct answer being 3, yielding an absolute answer difference of 1. +

+ +

+In the fourth case, there are multiple choices of inserted elements which result in an absolute answer difference of 3. +For example, it's possible for Ethan's answer equal to be made to equal 3 while the correct answer equals 6. +

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7 0 21 -19 12 27 -3 7 3 13 -23 26 -31 27 -10 5 -17 16 0 -30 -22 10 -30 -24 -17 11 -23 17 -9 2 -9 -1 -30 13 26 18 11 -4 -12 -22 11 16 -15 12 3 20 +38 7 +0 7 1 3 6 0 6 1 7 7 1 4 7 6 -5 1 2 5 2 0 -1 3 6 -2 -6 2 0 3 0 0 0 3 1 6 4 3 2 0 +25 36 +-25 -15 -1 -5 -9 -19 -9 -35 -12 -17 -27 -29 -24 -18 -7 -28 -24 -27 -26 -20 -15 7 -21 -25 -29 +44 24 +15 13 -1 9 3 -12 -5 2 -19 -11 20 16 -5 -16 -7 -9 -14 -5 -19 -4 13 -16 -15 1 13 21 23 17 -12 -5 7 20 1 -3 -16 10 -2 -3 -6 -8 -7 -2 -9 13 +8 19 +7 -14 11 12 8 18 7 11 +34 42 +-20 -36 -18 -38 -32 -20 -24 -38 -2 -10 -12 -18 -3 -42 -20 14 -4 -26 -39 -28 -24 -38 24 -39 -32 -16 -2 -14 -40 0 31 -42 -40 -35 +1 13 +8 +38 19 +16 2 15 16 15 3 11 17 17 2 13 11 6 0 16 -12 3 18 -4 8 15 2 15 8 10 2 8 19 7 1 16 5 19 6 8 19 1 18 +11 14 +-5 -4 -3 -8 0 -7 5 7 -4 -4 0 +44 14 +-3 -11 1 7 -12 13 10 -5 5 8 7 -2 -4 -11 11 -10 11 -13 1 7 -12 14 2 -5 -1 -10 -9 10 5 -6 -3 3 -12 -2 3 -5 10 -12 3 5 9 -7 -6 14 +16 20 +2 18 14 14 19 16 11 16 20 16 3 14 11 16 17 12 +42 20 +-16 -6 -14 -15 -3 -2 -8 -20 -16 -13 -20 0 -13 -1 -3 -14 -6 -9 -16 -2 -6 20 -9 -6 -10 -2 -10 -20 -4 -15 -13 -1 -6 -2 -3 -14 -17 -15 -2 -9 -9 -8 +3 26 +-9 20 -11 +37 13 +12 -1 3 1 1 12 1 5 2 12 8 11 4 4 6 3 4 7 13 10 -7 7 1 13 7 8 10 0 10 8 9 8 -5 7 6 3 7 +35 9 +6 -3 -2 -7 -3 -8 0 -1 -6 -1 -2 -7 -6 -8 5 -9 -5 -4 9 -4 0 -1 -2 -8 2 -8 -6 -2 -3 -7 -8 -7 -1 -8 0 +42 27 +-10 -9 -18 7 -18 -23 -20 27 21 13 10 13 -17 -2 -10 -4 25 19 -5 -26 1 12 17 19 -24 -23 -11 2 4 -1 1 11 -14 -11 19 10 -14 -21 2 -4 10 18 +27 10 +2 3 -1 -10 3 1 5 8 5 10 0 3 1 9 4 5 -2 -1 3 5 2 3 1 8 5 5 6 +41 41 +-16 39 17 -11 -10 -13 -31 -20 -23 -18 30 -21 -33 -37 -11 -21 -29 -16 -15 -18 -31 -15 -32 -25 -25 -31 -38 -29 -3 -23 -13 -5 -8 -28 -29 -28 -29 -30 -27 -32 -6 +22 47 +-24 13 -43 14 18 -23 -43 -32 -36 12 34 3 0 29 37 42 -24 -31 39 -19 -41 -42 +13 47 +-12 25 23 11 46 19 23 22 30 13 15 -12 28 +8 38 +-5 -13 -1 -30 -24 33 35 -16 +11 47 +29 -10 34 -43 -16 -15 -45 26 25 36 23 +7 29 +8 7 26 0 5 18 27 +38 2 +-2 -1 -2 0 -1 -2 -2 0 -1 -1 0 -1 0 -1 0 -1 0 -1 -2 -1 -1 2 -1 -2 0 0 2 2 -2 1 -2 2 -2 0 -2 0 0 2 +5 1 +0 0 0 -1 -1 +19 30 +29 20 6 7 29 0 7 25 7 16 -23 13 22 1 27 0 3 25 20 +31 31 +-18 -19 -9 -25 -15 -27 -28 -25 22 2 -4 -18 -11 -31 -27 -25 0 13 -17 -11 -7 -8 -18 -26 -22 -7 -18 -18 -29 -10 -1 +22 49 +-29 5 22 33 7 -6 -4 10 48 48 -20 -8 -20 22 15 36 30 -10 -39 -22 41 -21 +34 21 +10 18 0 6 -3 8 0 14 21 1 9 21 15 11 8 16 8 12 1 17 -8 14 17 2 21 1 3 12 6 16 11 17 5 15 +39 20 +-14 19 -15 -17 -15 -14 -7 -4 0 -14 -11 -3 -1 -3 10 17 -9 -10 -10 -15 -14 -5 -14 -8 -14 -4 -14 -14 -16 -5 -7 -18 1 -2 11 -17 -5 -10 -8 +45 29 +-18 -27 21 29 27 -25 0 23 17 29 1 0 -1 -4 -1 9 26 -2 -7 13 6 2 -20 16 5 29 -11 -24 5 12 7 -5 -7 3 -24 4 21 2 -8 17 -29 14 0 -20 -12 +48 5 +5 4 4 3 3 1 -5 -3 0 0 5 2 2 0 0 0 1 0 1 -1 4 1 3 5 3 3 -5 -5 3 3 0 2 4 4 4 4 0 5 5 3 2 4 3 -2 3 0 0 1 +19 4 +-1 -2 -2 -3 -2 -4 0 -1 -1 -2 -3 0 0 -4 -3 -4 -3 -4 -2 +2 2 +-1 -2 +8 47 +28 23 43 35 47 9 27 37 +37 12 +-9 -2 -8 -5 11 -1 -12 -4 -12 -3 -5 -7 -5 -11 -10 -1 -9 -4 -5 -9 -4 -12 8 -10 0 11 -5 -6 -9 -11 -8 0 -9 -8 -4 -3 -2 +34 20 +-5 -1 9 -15 -11 -5 -8 -17 14 15 0 18 -17 19 -2 16 -19 20 -4 18 12 17 20 6 -13 -6 -11 3 -4 -11 -14 -3 13 -13 diff --git a/2018/round3/ethan_max_subarray.md b/2018/round3/ethan_max_subarray.md new file mode 100644 index 0000000000000000000000000000000000000000..597ab69a6f9b4f8bc785b709b250ee54726e62f8 --- /dev/null +++ b/2018/round3/ethan_max_subarray.md @@ -0,0 +1,64 @@ +In preparation for his final exam, Ethan is doing his fourth programming +assignment: finding the subarray with the maximum sum in an array of integers. + +Given an array of **N** integers **A1..N**, Ethan's task is to find the +maximum sum of any (possibly empty) contiguous subarray of **A**. Ethan has +implemented an algorithm to solve this problem, described by the following +pseudocode: + + * 1\. Set **s** and **m** to both be equal to 0. + * 2\. Iterate _i_ upwards from 1 to **N**: + * 2a. If **Ai** ≥ 0, increment **s** by **Ai**, otherwise set **s** to be equal to 0. + * 2b. If **s** > **m**, set **m** to be equal to **s**. + * 3\. Output **m**. + +Is there any hope for Ethan? With exasperation, you set out in vain to teach +another lesson. + +The professor of the class has once again left you with some half-written test +cases. You're given an initial array **B1..M**, such that the absolute value +of each element is at most **K**. You'd like to insert **M** \- 1 more +integers into the array, one between each pair of adjacent elements in the +original array, to construct a new array **A1..N** where **N** = 2**M** \- 1. +Each of the inserted elements must likewise have an absolute value of at most +**K**. You'll then feed the new array **A** into Ethan's algorithm. Your goal +is to maximize the absolute difference between the final array's correct +maximum subarray sum and the output of Ethan's algorithm. + +### Input + +Input begins with an integer **T**, the number of test cases. For each test +case, there is first a line containing the space-separated integers **M** and +**K**. Then one more line follows containing the **M** space-separated +integers **B1** through **BM**. + +### Output + +For the _i_th test case, output a line containing "Case #_i_: " followed by +the maximum possible absolute difference between the correct maximum subarray +sum and the output of Ethan's algorithm. + +### Constraints + +1 ≤ **T** ≤ 60 +1 ≤ **M** ≤ 50 +1 ≤ **K** ≤ 50 +-**K** ≤ **Ai** ≤ **K** + +### Explanation of Sample + +In the first case, **A** = [3], and both Ethan's answer and the correct answer +are equal to 3. + +In the second case, **A** = [-3], and both Ethan's answer and the correct +answer are equal to 0. + +In the third case, one value will be inserted into **B**, and you should +choose to insert -1 to yield **A** = [2, -1, 2]. This results in Ethan's +answer being 2 and the correct answer being 3, yielding an absolute answer +difference of 1. + +In the fourth case, there are multiple choices of inserted elements which +result in an absolute answer difference of 3. For example, it's possible for +Ethan's answer equal to be made to equal 3 while the correct answer equals 6. + diff --git a/2018/round3/ethan_max_subarray.out b/2018/round3/ethan_max_subarray.out new file mode 100644 index 0000000000000000000000000000000000000000..5936ef25ad65347873ed1b0b8645b8360b03e782 --- /dev/null +++ b/2018/round3/ethan_max_subarray.out @@ -0,0 +1,307 @@ +Case #1: 0 +Case #2: 0 +Case #3: 1 +Case #4: 3 +Case #5: 51 +Case #6: 1485 +Case #7: 714 +Case #8: 669 +Case #9: 276 +Case #10: 1005 +Case #11: 650 +Case #12: 269 +Case #13: 1030 +Case #14: 314 +Case #15: 0 +Case #16: 783 +Case #17: 0 +Case #18: 228 +Case #19: 1167 +Case #20: 787 +Case #21: 376 +Case #22: 454 +Case #23: 413 +Case #24: 298 +Case #25: 1000 +Case #26: 8 +Case #27: 420 +Case #28: 805 +Case #29: 213 +Case #30: 30 +Case #31: 117 +Case #32: 1142 +Case #33: 333 +Case #34: 299 +Case #35: 1144 +Case #36: 65 +Case #37: 83 +Case #38: 140 +Case #39: 663 +Case #40: 112 +Case #41: 1785 +Case #42: 357 +Case #43: 39 +Case #44: 596 +Case #45: 86 +Case #46: 556 +Case #47: 1062 +Case #48: 488 +Case #49: 237 +Case #50: 1410 +Case #51: 7 +Case #52: 0 +Case #53: 862 +Case #54: 578 +Case #55: 273 +Case #56: 452 +Case #57: 288 +Case #58: 908 +Case #59: 1288 +Case #60: 259 +Case #61: 1126 +Case #62: 323 +Case #63: 572 +Case #64: 735 +Case #65: 1178 +Case #66: 658 +Case #67: 128 +Case #68: 449 +Case #69: 120 +Case #70: 53 +Case #71: 341 +Case #72: 785 +Case #73: 18 +Case #74: 18 +Case #75: 0 +Case #76: 105 +Case #77: 5 +Case #78: 396 +Case #79: 767 +Case #80: 62 +Case #81: 100 +Case #82: 1013 +Case #83: 125 +Case #84: 318 +Case #85: 176 +Case #86: 2224 +Case #87: 182 +Case #88: 81 +Case #89: 245 +Case #90: 832 +Case #91: 1181 +Case #92: 95 +Case #93: 932 +Case #94: 1867 +Case #95: 664 +Case #96: 264 +Case #97: 311 +Case #98: 175 +Case #99: 123 +Case #100: 93 +Case #101: 587 +Case #102: 676 +Case #103: 1054 +Case #104: 501 +Case #105: 386 +Case #106: 10 +Case #107: 49 +Case #108: 851 +Case #109: 240 +Case #110: 950 +Case #111: 187 +Case #112: 597 +Case #113: 2034 +Case #114: 96 +Case #115: 1157 +Case #116: 233 +Case #117: 233 +Case #118: 65 +Case #119: 517 +Case #120: 1265 +Case #121: 1092 +Case #122: 908 +Case #123: 207 +Case #124: 779 +Case #125: 615 +Case #126: 996 +Case #127: 217 +Case #128: 183 +Case #129: 1007 +Case #130: 173 +Case #131: 1543 +Case #132: 527 +Case #133: 325 +Case #134: 598 +Case #135: 101 +Case #136: 230 +Case #137: 7 +Case #138: 36 +Case #139: 705 +Case #140: 97 +Case #141: 48 +Case #142: 461 +Case #143: 350 +Case #144: 1121 +Case #145: 19 +Case #146: 637 +Case #147: 916 +Case #148: 231 +Case #149: 1389 +Case #150: 29 +Case #151: 1159 +Case #152: 2667 +Case #153: 161 +Case #154: 70 +Case #155: 1071 +Case #156: 125 +Case #157: 58 +Case #158: 308 +Case #159: 193 +Case #160: 401 +Case #161: 344 +Case #162: 331 +Case #163: 114 +Case #164: 0 +Case #165: 73 +Case #166: 1091 +Case #167: 970 +Case #168: 745 +Case #169: 37 +Case #170: 50 +Case #171: 817 +Case #172: 413 +Case #173: 229 +Case #174: 47 +Case #175: 76 +Case #176: 296 +Case #177: 0 +Case #178: 325 +Case #179: 239 +Case #180: 285 +Case #181: 1212 +Case #182: 2316 +Case #183: 427 +Case #184: 268 +Case #185: 229 +Case #186: 14 +Case #187: 37 +Case #188: 269 +Case #189: 9 +Case #190: 352 +Case #191: 526 +Case #192: 13 +Case #193: 7 +Case #194: 111 +Case #195: 0 +Case #196: 1065 +Case #197: 28 +Case #198: 132 +Case #199: 664 +Case #200: 15 +Case #201: 51 +Case #202: 48 +Case #203: 1320 +Case #204: 139 +Case #205: 718 +Case #206: 219 +Case #207: 190 +Case #208: 1258 +Case #209: 1682 +Case #210: 49 +Case #211: 507 +Case #212: 750 +Case #213: 352 +Case #214: 649 +Case #215: 238 +Case #216: 170 +Case #217: 342 +Case #218: 1313 +Case #219: 842 +Case #220: 442 +Case #221: 81 +Case #222: 628 +Case #223: 190 +Case #224: 293 +Case #225: 410 +Case #226: 0 +Case #227: 77 +Case #228: 445 +Case #229: 978 +Case #230: 300 +Case #231: 213 +Case #232: 673 +Case #233: 389 +Case #234: 259 +Case #235: 170 +Case #236: 227 +Case #237: 346 +Case #238: 256 +Case #239: 273 +Case #240: 277 +Case #241: 24 +Case #242: 5 +Case #243: 203 +Case #244: 73 +Case #245: 701 +Case #246: 496 +Case #247: 365 +Case #248: 537 +Case #249: 478 +Case #250: 70 +Case #251: 713 +Case #252: 1128 +Case #253: 638 +Case #254: 448 +Case #255: 265 +Case #256: 1244 +Case #257: 299 +Case #258: 154 +Case #259: 633 +Case #260: 120 +Case #261: 75 +Case #262: 369 +Case #263: 58 +Case #264: 306 +Case #265: 615 +Case #266: 0 +Case #267: 199 +Case #268: 250 +Case #269: 248 +Case #270: 6 +Case #271: 1225 +Case #272: 263 +Case #273: 379 +Case #274: 869 +Case #275: 94 +Case #276: 607 +Case #277: 0 +Case #278: 814 +Case #279: 79 +Case #280: 527 +Case #281: 334 +Case #282: 426 +Case #283: 0 +Case #284: 522 +Case #285: 164 +Case #286: 912 +Case #287: 246 +Case #288: 764 +Case #289: 667 +Case #290: 493 +Case #291: 154 +Case #292: 321 +Case #293: 120 +Case #294: 45 +Case #295: 0 +Case #296: 512 +Case #297: 395 +Case #298: 903 +Case #299: 771 +Case #300: 423 +Case #301: 1176 +Case #302: 244 +Case #303: 22 +Case #304: 0 +Case #305: 309 +Case #306: 213 +Case #307: 567 diff --git a/2018/round3/finshakes.cpp b/2018/round3/finshakes.cpp new file mode 100644 index 0000000000000000000000000000000000000000..1911ce06743a9f5dae1e3baf8164ea89ec6240fb --- /dev/null +++ b/2018/round3/finshakes.cpp @@ -0,0 +1,241 @@ +// Finshakes +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define MAXN 500 +#define MAXM 51 + +int N,M,W; +int H[MAXN]; +int L[MAXM],R[MAXM]; +vector ch[MAXM]; +int dyn[MAXM][MAXM][MAXM][MAXM],tmp[MAXM][MAXM][MAXM]; +// dyn[i][a][m][b] = max. finshakes in i's subtree, such that: +// a = number of fish at left edge of i's interval +// m = max. number of fish in any pool within i's interval +// b = number of fish at right edge of i's interval + +void rec(int i) +{ + int j,c,a,a2,b,b2,m,m2,m3,d,d2,d3; + bool o,e1,e2; + // iterate over children + dyn[i][0][0][0]=0; + Fox(j,Sz(ch[i])) + { + // recurse to child + rec(c=ch[i][j]); + if (!j) + { + memcpy(dyn[i],dyn[c],sizeof(dyn[i])); + continue; + } + // does this child overlap with the previous child? + o=R[ch[i][j-1]]==L[c]; + // incorporate child into DP values + Fill(tmp,-1); + Fox(a,M+1) + Fox(m,M+1) + Fox(b,M+1) + if ((d=dyn[i][a][m][b])>=0) + Fox(a2,M+1) + Fox(m2,M+1) + Fox(b2,M+1) + if ((d2=dyn[c][a2][m2][b2])>=0) + { + m3=max(m,m2); + d3=d+d2; + if (o) + { + Max(m3,b+a2); + d3+=b*a2; + } + Max(tmp[a][m3][b2],d3); + } + memcpy(dyn[i],tmp,sizeof(dyn[i])); + } + // do the children extend to this interval's edges? + if (Sz(ch[i])) + { + e1=L[ch[i][0]]==L[i]; + e2=R[ch[i][Sz(ch[i])-1]]==R[i]; + Fill(tmp,-1); + Fox(a,M+1) + Fox(m,M+1) + Fox(b,M+1) + Max(tmp[e1 ? a : 0][m][e2 ? b : 0],dyn[i][a][m][b]); + memcpy(dyn[i],tmp,sizeof(dyn[i])); + } + // incorporate this fish + if (i==M) + return; + Fill(tmp,-1); + Fox(a,M+1) + Fox(m,M+1) + Fox(b,M+1) + if ((d=dyn[i][a][m][b])>=0) + if (L[i]==R[i]) + { + // add onto only pool in interval + Max(tmp[a+1][m+1][b+1],d+m); + } + else + { + // add onto left + Max(tmp[a+1][max(m,a+1)][b],d+a); + // add onto max + Max(tmp[a][m+1][b],d+m); + // add onto right + Max(tmp[a][max(m,b+1)][b+1],d+b); + } + memcpy(dyn[i],tmp,sizeof(dyn[i])); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int i,j,p,a,m,b,ans; + PR F[MAXM]; + set< pair > S; + set< pair >::iterator I,J; + // testcase loop + Read(T); + Fox1(t,T) + { + // input, and compute fish intervals + Read(N),Read(M),Read(W); + Fox(i,N) + Read(H[i]),H[i]=W-H[i]; + Fox(i,M) + { + Read(p),Read(j),p--; + a=b=p; + while ((a>0) && (H[a]x.y<=R[j])) + { + ch[j].pb(I->y); + J=I,I++; + S.erase(J); + } + S.insert(mp(mp(L[j],R[j]),j)); + } + Foxen(I,S) + ch[M].pb(I->y); + // DP + Fill(dyn,-1); + rec(M); + // get answer + ans=0; + Fox(a,M+1) + Fox(m,M+1) + Fox(b,M+1) + Max(ans,dyn[M][a][m][b]); + // output + printf("Case #%d: %d\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/round3/finshakes.html b/2018/round3/finshakes.html new file mode 100644 index 0000000000000000000000000000000000000000..28aad24a9379851b504f876794a53b55d72cd1c7 --- /dev/null +++ b/2018/round3/finshakes.html @@ -0,0 +1,71 @@ +

+You know what a finshake is, right? It's just like a handshake. Except performed by fish rather than humans. +

+ +

+There are N pools of water in a row, numbered from 1 to N in order. +Pool i's water level is at an elevation of Hi metres. There are N - 1 equally-tall walls, one between each pair of adjacent pools, +with the top of each wall at an elevation of W metres. +All of the water levels are lower than the tops of the walls (in other words, Hi < W for each i). +

+ +

+There are also M fish throughout the pools. The ith fish initially lives in pool Pi, +and has a jumping height of Ji metres. It can jump over a wall from any given pool a to an adjacent pool b +(such that |a - b| = 1) if and only if Ji > W - Ha. +Multiple fish may live in the same pool. +

+ +

+Each of the M fish will spend some time jumping over walls amongst the pools, before each choosing a final pool to settle in. +After all of the fish have settled down, for each unique unordered pair of fish who have ended up in the same pool as one another, they will give each other a finshake. +Assuming the fish all work together, what's the maximum number of finshakes which can occur once they've all settled down in their chosen pools? +

+ + +

Input

+ +

+Input begins with an integer T, the number of rows of pools. +For each row of pools, there is first a line containing the space-separated integers N, M, and W. +Then follows a line containing the N space-separated integers H1 through HN. +Then M lines follow, the ith of which contains the space-separated integers Pi and Ji. +

+ + +

Output

+ +

+For the ith row of pools, output a line containing "Case #i: " followed by the maximum number of finshakes which can occur. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 50
+1 ≤ N ≤ 500
+1 ≤ M ≤ 50
+2 ≤ W ≤ 1,000,000
+1 ≤ Hi < W
+1 ≤ Pi ≤ N
+1 ≤ Ji ≤ 1,000,000
+

+ + +

Explanation of Sample

+ +

+In the first case, neither fish has a sufficient jumping height to jump over the wall from its own pool to the other pool. +As such, each fish must remain isolated in its own pool, resulting in 0 finshakes being exchanged. +

+ +

+In the second case, the second fish has sufficient jumping strength to go back and forth over the wall. It should choose to settle in the first pool. +With both fish ending up in the same pool, they'll exchange 1 finshake. +

+ +

+In the third case, the first fish is unable to leave the first pool. The fourth fish could decide to choose to stay in the first pool as well, and give the first fish a finshake. +However, it's better for the last 3 fish to all congregate in the second pool instead, as this will result in a total of 3 finshakes being exchanged amongst them. +

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It's just like a handshake. Except +performed by fish rather than humans. + +There are **N** pools of water in a row, numbered from 1 to **N** in order. +Pool _i_'s water level is at an elevation of **Hi** metres. There are **N** \- +1 equally-tall walls, one between each pair of adjacent pools, with the top of +each wall at an elevation of **W** metres. All of the water levels are lower +than the tops of the walls (in other words, **Hi** < **W** for each _i_). + +There are also **M** fish throughout the pools. The _i_th fish initially lives +in pool **Pi**, and has a jumping height of **Ji** metres. It can jump over a +wall from any given pool **a** to an adjacent pool **b** (such that |**a** \- +**b**| = 1) if and only if **Ji** > **W** \- **Ha**. Multiple fish may live in +the same pool. + +Each of the **M** fish will spend some time jumping over walls amongst the +pools, before each choosing a final pool to settle in. After all of the fish +have settled down, for each unique unordered pair of fish who have ended up in +the same pool as one another, they will give each other a finshake. Assuming +the fish all work together, what's the maximum number of finshakes which can +occur once they've all settled down in their chosen pools? + +### Input + +Input begins with an integer **T**, the number of rows of pools. For each row +of pools, there is first a line containing the space-separated integers **N**, +**M**, and **W**. Then follows a line containing the **N** space-separated +integers **H1** through **HN**. Then **M** lines follow, the _i_th of which +contains the space-separated integers **Pi** and **Ji**. + +### Output + +For the _i_th row of pools, output a line containing "Case #_i_: " followed by +the maximum number of finshakes which can occur. + +### Constraints + +1 ≤ **T** ≤ 50 +1 ≤ **N** ≤ 500 +1 ≤ **M** ≤ 50 +2 ≤ **W** ≤ 1,000,000 +1 ≤ **Hi** < **W** +1 ≤ **Pi** ≤ **N** +1 ≤ **Ji** ≤ 1,000,000 + +### Explanation of Sample + +In the first case, neither fish has a sufficient jumping height to jump over +the wall from its own pool to the other pool. As such, each fish must remain +isolated in its own pool, resulting in 0 finshakes being exchanged. + +In the second case, the second fish has sufficient jumping strength to go back +and forth over the wall. It should choose to settle in the first pool. With +both fish ending up in the same pool, they'll exchange 1 finshake. + +In the third case, the first fish is unable to leave the first pool. The +fourth fish could decide to choose to stay in the first pool as well, and give +the first fish a finshake. However, it's better for the last 3 fish to all +congregate in the second pool instead, as this will result in a total of 3 +finshakes being exchanged amongst them. + diff --git a/2018/round3/finshakes.out b/2018/round3/finshakes.out new file mode 100644 index 0000000000000000000000000000000000000000..06f27974328f80acd8c2613ae348ca6cf31435ca --- /dev/null +++ b/2018/round3/finshakes.out @@ -0,0 +1,110 @@ +Case #1: 0 +Case #2: 1 +Case #3: 3 +Case #4: 39 +Case #5: 85 +Case #6: 0 +Case #7: 0 +Case #8: 1 +Case #9: 40 +Case #10: 58 +Case #11: 413 +Case #12: 630 +Case #13: 33 +Case #14: 128 +Case #15: 561 +Case #16: 75 +Case #17: 562 +Case #18: 379 +Case #19: 631 +Case #20: 327 +Case #21: 0 +Case #22: 10 +Case #23: 496 +Case #24: 105 +Case #25: 783 +Case #26: 530 +Case #27: 21 +Case #28: 17 +Case #29: 48 +Case #30: 16 +Case #31: 26 +Case #32: 3 +Case #33: 6 +Case #34: 703 +Case #35: 437 +Case #36: 122 +Case #37: 15 +Case #38: 15 +Case #39: 328 +Case #40: 218 +Case #41: 28 +Case #42: 55 +Case #43: 6 +Case #44: 40 +Case #45: 741 +Case #46: 91 +Case #47: 28 +Case #48: 1 +Case #49: 35 +Case #50: 468 +Case #51: 0 +Case #52: 820 +Case #53: 378 +Case #54: 81 +Case #55: 66 +Case #56: 6 +Case #57: 669 +Case #58: 467 +Case #59: 96 +Case #60: 106 +Case #61: 154 +Case #62: 6 +Case #63: 9 +Case #64: 78 +Case #65: 378 +Case #66: 83 +Case #67: 3 +Case #68: 120 +Case #69: 4 +Case #70: 465 +Case #71: 35 +Case #72: 80 +Case #73: 67 +Case #74: 61 +Case #75: 14 +Case #76: 3 +Case #77: 105 +Case #78: 137 +Case #79: 354 +Case #80: 121 +Case #81: 3 +Case #82: 10 +Case #83: 406 +Case #84: 197 +Case #85: 3 +Case #86: 26 +Case #87: 37 +Case #88: 36 +Case #89: 124 +Case #90: 66 +Case #91: 435 +Case #92: 10 +Case #93: 10 +Case #94: 171 +Case #95: 238 +Case #96: 66 +Case #97: 211 +Case #98: 10 +Case #99: 253 +Case #100: 15 +Case #101: 95 +Case #102: 190 +Case #103: 35 +Case #104: 467 +Case #105: 596 +Case #106: 21 +Case #107: 36 +Case #108: 0 +Case #109: 325 +Case #110: 327 diff --git a/2018/round3/graph_gift.cpp b/2018/round3/graph_gift.cpp new file mode 100644 index 0000000000000000000000000000000000000000..1599cec02a95389c928198d6dad93e534c67a4c7 --- /dev/null +++ b/2018/round3/graph_gift.cpp @@ -0,0 +1,198 @@ +// Graph Gift +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 30003 + +int NA,NB; +LL A[LIM],B[LIM]; +LL SB[LIM]; +LL mem3[LIM]; + +// cost for cross-pairing B values such that ny = n-y +LL Comp3(int ny) +{ + if (mem3[ny]) + return(mem3[ny]); + int i; + LL ans=0; + Fox(i,(ny-1)/2) + ans+=B[NB-i-2]*B[NB-ny+i]; + return(mem3[ny]=ans); +} + +// min. cost for connecting last B values +LL Comp2(int n) +{ + if (!n) + return(0); + if ((n==1) && (NB>=2)) + return(B[NB-1]*B[NB-2]); + int y; + LL cur,ans=(LL)6e18; + // pair first y values with the last value + Fox1(y,n-1) + { + if ((n-y-1)%2) + continue; + cur=B[NB-1]*(SB[NB-n+y]-SB[NB-n]); + // cross-pair the remaining n-y-1 values + cur+=Comp3(n-y); + Min(ans,cur); + } + return(ans); +} + +// min. cost with last x A values paired with different B values +LL Comp1(int x) +{ + int i; + LL ans=0; + Fox(i,NA-x) + ans-=B[0]*A[i]; + Fox(i,x) + ans-=B[i+1]*A[NA-x+i]; + ans+=Comp2(NB-x-1); + return(ans); +} + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N; + int i,x; + LL ans,v; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + Read(N); + NA=NB=0; + while (N--) + { + Read(x); + if (x>0) + A[NA++]=x; + else + B[NB++]=-x; + } + // sort each list in non-increasing order + sort(A,A+NA); + sort(B,B+NB); + reverse(A,A+NA); + reverse(B,B+NB); + // precompute prefix sums + Fox(i,NB) + SB[i+1]=SB[i]+B[i]; + // special case: all positive/negative? + Fill(mem3,0); + if ((!NA) || (!NB)) + { + if (!NB) + { + NB=NA; + memcpy(B,A,sizeof(A)); + Fox(i,NB) + SB[i+1]=SB[i]+B[i]; + } + ans=Comp2(NB); + } + else + { + // try all parameters + ans=(LL)6e18; + Fox(x,min(NA,NB)) + Min(ans,Comp1(x)); + } + // output + printf("Case #%d: %lld\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/round3/graph_gift.html b/2018/round3/graph_gift.html new file mode 100644 index 0000000000000000000000000000000000000000..b82ab22f3823c3990279421a55746ab4ee8a994c --- /dev/null +++ b/2018/round3/graph_gift.html @@ -0,0 +1,76 @@ +

+What day is it today? Wasn't there something you were supposed to remember? Eh, it was probably nothing... +

+ +

+... +

+ +

+Wait! Oh no! It's your anniversary today! And you don't have a gift for your spouse! +

+ +

+Only one thing can save you now: online shopping. Logging onto your favourite shopping site, the top automated suggestion looks perfect (or at least passable) — a graph. +Your spouse probably loves graphs, right? More importantly, it can be delivered directly to your house within half an hour. +

+ +

+The graph comes with N nodes, the ith of which is labelled with a non-zero integer Li. +Unfortunately, no edges are included by default — you have to pay extra for those. You'd better purchase one or more edges so that it looks like you put extensive thought into your gift. +Purchasing an undirected edge between two different nodes i and j costs Li * Lj dollars +(note that this cost may be negative, in which case you actually receive money for "purchasing" that edge). +You won't purchase more than one edge between any unordered pair of nodes, and you won't purchase any self-loops (edges connecting a node directly to itself). +

+ +

+In order to make the graph appealing to your spouse, you've decided that it should have the following two properties: +

+ +
    +
  1. Each node should be adjacent to at least one other node.
    2. +
  2. Each node with a positive label should be adjacent to at most one node with a negative label.
    3. +
+ +

+Any such graph should make a fine gift, so... you might as well go with the cheapest option, right? +You'd like to determine the minimum possible total cost of edges to purchase which result in a graph with both properties described above. Note that this total "cost" may be negative. +

+ + +

Input

+ +

+Input begins with an integer T, the number of test cases. +For each test case, there is first a line containing the integer N. +Then one more line follows containing the N space-separated integers L1 through LN. +

+ + +

Output

+ +

+For the ith test case, output a line containing "Case #i: " followed by the minimum cost (in dollars) required to complete the graph gift. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 40
+2 ≤ N ≤ 30,000
+-10,000,000 ≤ Li ≤ 10,000,000
+Li ≠ 0
+

+ + +

Explanation of Sample

+ +

+In the first case, you should purchase an edge between the two nodes for a cost of (-1)*(-1) = 1. +

+ +

+In the second case, you should purchase an edge from the third node to each of the other nodes, for a cost of (-3)*(-1) + (-3)*2 + (-3)*4 = -15. +

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Wasn't there something you were supposed to remember? +Eh, it was probably nothing... + +... + +Wait! Oh no! It's your anniversary today! And you don't have a gift for your +spouse! + +Only one thing can save you now: online shopping. Logging onto your favourite +shopping site, the top automated suggestion looks perfect (or at least +passable) — a graph. Your spouse probably loves graphs, right? More +importantly, it can be delivered directly to your house within half an hour. + +The graph comes with **N** nodes, the _i_th of which is labelled with a non- +zero integer **Li**. Unfortunately, no edges are included by default — you +have to pay extra for those. You'd better purchase one or more edges so that +it looks like you put extensive thought into your gift. Purchasing an +undirected edge between two different nodes _i_ and _j_ costs **Li** * **Lj** +dollars (note that this cost may be negative, in which case you actually +receive money for "purchasing" that edge). You won't purchase more than one +edge between any unordered pair of nodes, and you won't purchase any self- +loops (edges connecting a node directly to itself). + +In order to make the graph appealing to your spouse, you've decided that it +should have the following two properties: + + 1. Each node should be adjacent to at least one other node. + 2. Each node with a positive label should be adjacent to at most one node with a negative label. + +Any such graph should make a fine gift, so... you might as well go with the +cheapest option, right? You'd like to determine the minimum possible total +cost of edges to purchase which result in a graph with both properties +described above. Note that this total "cost" may be negative. + +### Input + +Input begins with an integer **T**, the number of test cases. For each test +case, there is first a line containing the integer **N**. Then one more line +follows containing the **N** space-separated integers **L1** through **LN**. + +### Output + +For the _i_th test case, output a line containing "Case #_i_: " followed by +the minimum cost (in dollars) required to complete the graph gift. + +### Constraints + +1 ≤ **T** ≤ 40 +2 ≤ **N** ≤ 30,000 +-10,000,000 ≤ **Li** ≤ 10,000,000 +**Li** ≠ 0 + +### Explanation of Sample + +In the first case, you should purchase an edge between the two nodes for a +cost of (-1)*(-1) = 1. + +In the second case, you should purchase an edge from the third node to each of +the other nodes, for a cost of (-3)*(-1) + (-3)*2 + (-3)*4 = -15. + diff --git a/2018/round3/graph_gift.out b/2018/round3/graph_gift.out new file mode 100644 index 0000000000000000000000000000000000000000..771ae39072cb946ee1897874b74b8bfa82162455 --- /dev/null +++ b/2018/round3/graph_gift.out @@ -0,0 +1,116 @@ +Case #1: 1 +Case #2: -15 +Case #3: 164 +Case #4: 2332 +Case #5: -20042 +Case #6: -18072024008928 +Case #7: -840 +Case #8: -199054773590420 +Case #9: -48 +Case #10: -321 +Case #11: -117288280063075 +Case #12: -77121612938556 +Case #13: -233133156000360 +Case #14: -4859173 +Case #15: -462763 +Case #16: -1097774 +Case #17: -74101267 +Case #18: -207069 +Case #19: -41249 +Case #20: -757675365238832288 +Case #21: -743949997008550814 +Case #22: -757000341852475993 +Case #23: -753723173007941551 +Case #24: -73621540 +Case #25: -208839 +Case #26: -41661 +Case #27: -82271383623227 +Case #28: 34976336485689 +Case #29: -2184970208010 +Case #30: -22665720091472 +Case #31: -6727 +Case #32: -24 +Case #33: -10 +Case #34: -65751785604932 +Case #35: -64398255861576 +Case #36: -130749955396586 +Case #37: 44427814867220 +Case #38: 1140 +Case #39: 30 +Case #40: 8 +Case #41: -313154281619192 +Case #42: 26483564088462 +Case #43: 26975896905439 +Case #44: -199312620479342 +Case #45: 3823 +Case #46: -54 +Case #47: 14 +Case #48: 52100045839104 +Case #49: 33418207493900 +Case #50: -30076173544483 +Case #51: -78870372351280 +Case #52: 3332 +Case #53: 39 +Case #54: -15 +Case #55: 7543044272660 +Case #56: -181997519309320 +Case #57: 3191401487139 +Case #58: 2403281874600 +Case #59: -31204 +Case #60: 13 +Case #61: -6 +Case #62: 7878491057920 +Case #63: 42062390551602 +Case #64: 35134009782740 +Case #65: 6231593873024 +Case #66: -12682 +Case #67: 17 +Case #68: 6 +Case #69: -87468840025866 +Case #70: -36322124621563 +Case #71: -18067593963501 +Case #72: 33208621638263 +Case #73: 11323 +Case #74: 10 +Case #75: 4 +Case #76: -22937944036104 +Case #77: 2524199638165 +Case #78: 219540519714161 +Case #79: -3329812118631945 +Case #80: -31417 +Case #81: -54 +Case #82: 67 +Case #83: 5739479049445 +Case #84: -3550618280491200 +Case #85: 48825285157186 +Case #86: -166761179814372 +Case #87: 9102 +Case #88: 27 +Case #89: -105 +Case #90: -18755847818420 +Case #91: -1985195582820572 +Case #92: 301884782841897 +Case #93: 73799498955232 +Case #94: -79933 +Case #95: -9 +Case #96: -96 +Case #97: 5662999297760 +Case #98: 36000926564534 +Case #99: -284552596359750 +Case #100: -687329379569015 +Case #101: -160754 +Case #102: 10 +Case #103: 86 +Case #104: -534680851853880 +Case #105: -36688676970038 +Case #106: -1098919254826590 +Case #107: 129190787007445 +Case #108: 1605 +Case #109: -1211 +Case #110: 64 +Case #111: -885353842315316 +Case #112: 13739136353082 +Case #113: 27733797563600 +Case #114: -436837708368706 +Case #115: -51513 +Case #116: -476 diff --git a/2018/round3/jammin.cpp b/2018/round3/jammin.cpp new file mode 100644 index 0000000000000000000000000000000000000000..068fe379c3609791363578f5458d583a64291d39 --- /dev/null +++ b/2018/round3/jammin.cpp @@ -0,0 +1,161 @@ +// Jammin' +// Solution by Jacob Plachta + +#define DEBUG 0 + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; + +#define LL long long +#define LD long double +#define PR pair + +#define Fox(i,n) for (i=0; i=0; i--) +#define FoxR1(i,n) for (i=n; i>0; i--) +#define FoxRI(i,a,b) for (i=b; i>=a; i--) +#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) +#define Min(a,b) a=min(a,b) +#define Max(a,b) a=max(a,b) +#define Sz(s) int((s).size()) +#define All(s) (s).begin(),(s).end() +#define Fill(s,v) memset(s,v,sizeof(s)) +#define pb push_back +#define mp make_pair +#define x first +#define y second + +template T Abs(T x) { return(x<0 ? -x : x); } +template T Sqr(T x) { return(x*x); } +string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); } + +const int INF = (int)1e9; +const LD EPS = 1e-12; +const LD PI = acos(-1.0); + +#if DEBUG +#define GETCHAR getchar +#else +#define GETCHAR getchar_unlocked +#endif + +bool Read(int &x) +{ + char c,r=0,n=0; + x=0; + for(;;) + { + c=GETCHAR(); + if ((c<0) && (!r)) + return(0); + if ((c=='-') && (!r)) + n=1; + else + if ((c>='0') && (c<='9')) + x=x*10+c-'0',r=1; + else + if (r) + break; + } + if (n) + x=-x; + return(1); +} + +#define LIM 400004 + +int main() +{ + if (DEBUG) + freopen("in.txt","r",stdin); + // vars + int T,t; + int N; + int i,ans,cur,numPast; + bool pastReachable; + static char C[LIM]; + // testcase loop + Read(T); + Fox1(t,T) + { + // input + scanf("%s",&C); + N=strlen(C); + // simulate + ans=cur=numPast=pastReachable=0; + Fox(i,N) + if (C[i]=='*') // jammer + { + cur++; // pick it up + if ((cur>=2) || (pastReachable)) // reclaim all past jammers + { + cur+=numPast; + numPast=pastReachable=0; + } + Max(ans,cur); // new best? + } + else + if ((C[i]=='#') && (C[i+1]!='#')) // 1 barrier + { + // can cross totally for free? + if (cur>=2) + continue; + // can cross for free, but while making a past jammer unreachable? + if (C[i+1]=='*') + { + pastReachable=0; + continue; + } + // can cross using a jammer? + if (cur) + { + cur--; + numPast++,pastReachable=1; + continue; + } + // can't cross + break; + } + else + if ((C[i]=='#') && (C[i+1]=='#') && (C[i+2]!='#')) // 2 barriers + { + // can cross by swapping out for a jammer on the other side? + if ((cur) && (C[i+2]=='*')) + { + i+=2; + continue; + } + // can't cross + break; + } + else + if ((C[i]=='#') && (C[i+1]=='#') && (C[i+2]=='#')) // 3+ barriers + break; // can never cross + // output + printf("Case #%d: %d\n",t,ans); + } + return(0); +} \ No newline at end of file diff --git a/2018/round3/jammin.html b/2018/round3/jammin.html new file mode 100644 index 0000000000000000000000000000000000000000..47713510500185f9149d443abd3cb3c395c89903 --- /dev/null +++ b/2018/round3/jammin.html @@ -0,0 +1,79 @@ +

+Uriel is an android programmed for a singular purpose — to obtain jam. He's found himself in a row of cells, some of which hopefully contain raspberry jam for him to gather +in the form of special jars called "jammers". +

+ +

+There are |C| cells in the row, and their contents are described by a string C, with the ith character of C +corresponding to the ith cell. Each character is one of the following: +

+ +
    +
  • - ".": Empty cell
    • +
  • - "*": Cell initially containing a jammer
    • +
  • - "#": Cell containing a laser barrier
    • +
+ +

+By default, each laser barrier is "active". However, whenever a laser barrier has at least one jammer in an adjacent cell to its left or right, that laser barrier becomes jammed by the jammer's jam, +and becomes "inactive" instead. A laser barrier may switch back and forth between being inactive and active if jammers next to it are added or removed. +A single jammer may be responsible for jamming multiple laser barriers at once. +

+ +

+Uriel begins in the first cell (which is guaranteed to be empty). He has the ability to carry around any number of jammers at once, though he initially has 0 of them. +At each point in time, he may choose to perform one of the following actions: +

+ +
    +
  • - Pick up a jammer from his current cell. He may only do so if the cell contains a jammer. That cell will then become empty.
    • +
  • - Place one of his jammers into his current cell. He may only do so if he's holding at least one jammer, and if the cell is currently completely empty +(it doesn't contain another jammer, and doesn't contain a laser barrier, even if it's inactive).
    • +
  • - Walk left or right into an adjacent cell, without leaving the row of cells. He may only do so if that cell doesn't currently contain an active laser barrier.
    • +
+ +

+Uriel isn't interested in consuming any jam, he just wants to hold onto it — onto as much of it as he can. +As such, he'd like to determine the maximum number of jammers which he can ever end up holding at a single time, after performing any number of moves of his choice. +

+ + +

Input

+ +

+Input begins with an integer T, the number of rows of cells. +For each row of cells, there is a single line containing the string C as described above. +

+ + +

Output

+ +

+For the ith row of cells, output a line containing "Case #i: " followed by the maximum number of jammers which Uriel can end up holding at once. +

+ + +

Constraints

+ +

+1 ≤ T ≤ 100
+1 ≤ |C| ≤ 400,000
+

+ + +

Explanation of Sample

+ +

+In the first case, there are no laser barriers, so Uriel can simply walk to the right while picking up each jammer he comes across, allowing him to end up with 5 jammers by the end. +

+ +

+In the second case, Uriel is immediately left with no valid moves, as there's an active laser barrier to his right and he's not holding any jammers. +

+ +

+In the third case, the first laser barrier which Uriel encounters is already inactive due to the jammer to its right, meaning that he can walk through it. +The second laser barrier is initially active, but Uriel can jam it by putting down a jammer to its left. After collecting the rightmost jammer, Uriel can return to pick up the jammer that he previously put down to end up with all 5 jammers simultaneously in his possession. +

+ + diff --git a/2018/round3/jammin.in b/2018/round3/jammin.in new file mode 100644 index 0000000000000000000000000000000000000000..4c81e6d663d797effa126dbf53030c3c4c294e0a --- /dev/null +++ b/2018/round3/jammin.in @@ -0,0 +1,232 @@ +231 +...**.*..*....*.. +.#.**.*..*....*.. +..#**.*..*.#..*.. +.*#*####*# +.*#.*#.*#.*#.* +..*.#.#*##*.#.#*#..#*..#.#*.#*##*##.*#*#..##*#* +...*.##*##*.#..#*.#..#*.#.#.*##*.#.#*..*##*.#*# +...... +.***** +.##### +.*#*#*#*#*#*#*#*#*#*#* +.#.#.#.#.#.#.#.#.#.#.# +.*#.#* +.*.#.#*.#.#*.#.*.# +.*##*##*##*##*##*##*##*##.. +.*##*##*##*##*##*##*##*##*. +.*##*##*##*##*##*##*##*##.* +.*##*##*##*##*##*##*##*##** +.*#.#*.#.#*.#.#*.#.#*.#.#*. +.*#.#*.#.#*.#.#*.#.#*.#.#** +.*#.#*.*.#..#..#.* +.*#.. +.*#..##.* +.***.###.***. +.***.###***.. +..........##*... +.........###*... 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+.*.#.*#.*.*#*.#*##***##**#*##*.##*.#.#**.##*#.*#*#.*.#.**#.##**.##*.##*.**#*.*##*.**.*.##*.*##**#.#.**.#*.#**.#.**.*#*.*.##*##*#.##*.******.#*.#**.##*#*##*.##***.**.**.*##*#*#.*.#.**##*.#**#.#**##*.##*.*#*#*.#.##**#*#.#.**.*.#.#*##*.*.*.**#**#*#.*.#.#.#.#.*.#.***.#.**##*.**#.***.#*#.*.*.*##**.##****.*****##*.*#**.#.#*#**.*#*.#*.##*.*.##**#*#*#.#.*##*#.***.*.*#*#.*.*##.#.#*.*.*.*.#.#.*.*.*##.*#.*.#*.*.##**.##*#***.#** diff --git a/2018/round3/jammin.md b/2018/round3/jammin.md new file mode 100644 index 0000000000000000000000000000000000000000..8571dc13bdf83f7e41f6281a6b06fc7fce59a99f --- /dev/null +++ b/2018/round3/jammin.md @@ -0,0 +1,65 @@ +Uriel is an android programmed for a singular purpose — to obtain jam. He's +found himself in a row of cells, some of which hopefully contain raspberry jam +for him to gather in the form of special jars called "jammers". + +There are |**C**| cells in the row, and their contents are described by a +string **C**, with the _i_th character of **C** corresponding to the _i_th +cell. Each character is one of the following: + + * \- "`.`": Empty cell + * \- "`*`": Cell initially containing a jammer + * \- "`#`": Cell containing a laser barrier + +By default, each laser barrier is "active". However, whenever a laser barrier +has at least one jammer in an adjacent cell to its left or right, that laser +barrier becomes jammed by the jammer's jam, and becomes "inactive" instead. A +laser barrier may switch back and forth between being inactive and active if +jammers next to it are added or removed. A single jammer may be responsible +for jamming multiple laser barriers at once. + +Uriel begins in the first cell (which is guaranteed to be empty). He has the +ability to carry around any number of jammers at once, though he initially has +0 of them. At each point in time, he may choose to perform one of the +following actions: + + * \- Pick up a jammer from his current cell. He may only do so if the cell contains a jammer. That cell will then become empty. + * \- Place one of his jammers into his current cell. He may only do so if he's holding at least one jammer, and if the cell is currently completely empty (it doesn't contain another jammer, and doesn't contain a laser barrier, even if it's inactive). + * \- Walk left or right into an adjacent cell, without leaving the row of cells. He may only do so if that cell doesn't currently contain an active laser barrier. + +Uriel isn't interested in consuming any jam, he just wants to hold onto it — +onto as much of it as he can. As such, he'd like to determine the maximum +number of jammers which he can ever end up holding at a single time, after +performing any number of moves of his choice. + +### Input + +Input begins with an integer **T**, the number of rows of cells. For each row +of cells, there is a single line containing the string **C** as described +above. + +### Output + +For the _i_th row of cells, output a line containing "Case #_i_: " followed by +the maximum number of jammers which Uriel can end up holding at once. + +### Constraints + +1 ≤ **T** ≤ 100 +1 ≤ |**C**| ≤ 400,000 + +### Explanation of Sample + +In the first case, there are no laser barriers, so Uriel can simply walk to +the right while picking up each jammer he comes across, allowing him to end up +with 5 jammers by the end. + +In the second case, Uriel is immediately left with no valid moves, as there's +an active laser barrier to his right and he's not holding any jammers. + +In the third case, the first laser barrier which Uriel encounters is already +inactive due to the jammer to its right, meaning that he can walk through it. +The second laser barrier is initially active, but Uriel can jam it by putting +down a jammer to its left. After collecting the rightmost jammer, Uriel can +return to pick up the jammer that he previously put down to end up with all 5 +jammers simultaneously in his possession. + diff --git a/2018/round3/jammin.out b/2018/round3/jammin.out new file mode 100644 index 0000000000000000000000000000000000000000..94abd6d5a78ed0e931dbcdb2cbb4bf55c7cb2764 --- /dev/null +++ b/2018/round3/jammin.out @@ -0,0 +1,231 @@ +Case #1: 5 +Case #2: 0 +Case #3: 5 +Case #4: 2 +Case #5: 5 +Case #6: 6 +Case #7: 1 +Case #8: 0 +Case #9: 5 +Case #10: 0 +Case #11: 11 +Case #12: 0 +Case #13: 1 +Case #14: 4 +Case #15: 1 +Case #16: 1 +Case #17: 1 +Case #18: 2 +Case #19: 1 +Case #20: 7 +Case #21: 4 +Case #22: 1 +Case #23: 1 +Case #24: 3 +Case #25: 3 +Case #26: 0 +Case #27: 0 +Case #28: 1 +Case #29: 107 +Case #30: 2 +Case #31: 3 +Case #32: 120508 +Case #33: 119740 +Case #34: 119751 +Case #35: 120120 +Case #36: 120024 +Case #37: 1 +Case #38: 49 +Case #39: 123 +Case #40: 36 +Case #41: 80 +Case #42: 7 +Case #43: 16 +Case #44: 33 +Case #45: 54 +Case #46: 55 +Case #47: 87 +Case #48: 28 +Case #49: 12 +Case #50: 160 +Case #51: 122 +Case #52: 0 +Case #53: 22 +Case #54: 1 +Case #55: 138 +Case #56: 98 +Case #57: 127 +Case #58: 165 +Case #59: 103 +Case #60: 17 +Case #61: 1 +Case #62: 16 +Case #63: 106 +Case #64: 32 +Case #65: 58 +Case #66: 41 +Case #67: 1 +Case #68: 59 +Case #69: 142 +Case #70: 62 +Case #71: 1 +Case #72: 2 +Case #73: 85 +Case #74: 4 +Case #75: 1 +Case #76: 31 +Case #77: 166 +Case #78: 63 +Case #79: 86 +Case #80: 14 +Case #81: 63 +Case #82: 0 +Case #83: 151 +Case #84: 165 +Case #85: 109 +Case #86: 63 +Case #87: 134 +Case #88: 67 +Case #89: 115 +Case #90: 99 +Case #91: 157 +Case #92: 0 +Case #93: 137 +Case #94: 23 +Case #95: 20 +Case #96: 40 +Case #97: 1 +Case #98: 51 +Case #99: 36 +Case #100: 159 +Case #101: 116 +Case #102: 1 +Case #103: 1 +Case #104: 1 +Case #105: 70 +Case #106: 47 +Case #107: 45 +Case #108: 14 +Case #109: 166 +Case #110: 91 +Case #111: 121 +Case #112: 1 +Case #113: 121 +Case #114: 159 +Case #115: 79 +Case #116: 186 +Case #117: 103 +Case #118: 149 +Case #119: 42 +Case #120: 94 +Case #121: 31 +Case #122: 14 +Case #123: 63 +Case #124: 3 +Case #125: 125 +Case #126: 74 +Case #127: 133 +Case #128: 28 +Case #129: 39 +Case #130: 1 +Case #131: 121 +Case #132: 8 +Case #133: 31 +Case #134: 3 +Case #135: 112 +Case #136: 68 +Case #137: 130 +Case #138: 27 +Case #139: 87 +Case #140: 77 +Case #141: 99 +Case #142: 13 +Case #143: 95 +Case #144: 128 +Case #145: 123 +Case #146: 83 +Case #147: 19 +Case #148: 1 +Case #149: 53 +Case #150: 108 +Case #151: 151 +Case #152: 2 +Case #153: 85 +Case #154: 74 +Case #155: 1 +Case #156: 147 +Case #157: 83 +Case #158: 21 +Case #159: 12 +Case #160: 35 +Case #161: 87 +Case #162: 1 +Case #163: 97 +Case #164: 73 +Case #165: 90 +Case #166: 54 +Case #167: 152 +Case #168: 122 +Case #169: 120 +Case #170: 70 +Case #171: 12 +Case #172: 0 +Case #173: 92 +Case #174: 104 +Case #175: 31 +Case #176: 133 +Case #177: 78 +Case #178: 2 +Case #179: 52 +Case #180: 73 +Case #181: 8 +Case #182: 7 +Case #183: 33 +Case #184: 120 +Case #185: 115 +Case #186: 18 +Case #187: 117 +Case #188: 77 +Case #189: 144 +Case #190: 72 +Case #191: 3 +Case #192: 0 +Case #193: 43 +Case #194: 62 +Case #195: 29 +Case #196: 98 +Case #197: 10 +Case #198: 105 +Case #199: 18 +Case #200: 161 +Case #201: 125 +Case #202: 5 +Case #203: 76 +Case #204: 66 +Case #205: 22 +Case #206: 156 +Case #207: 75 +Case #208: 94 +Case #209: 123 +Case #210: 93 +Case #211: 138 +Case #212: 0 +Case #213: 46 +Case #214: 87 +Case #215: 24 +Case #216: 69 +Case #217: 24 +Case #218: 87 +Case #219: 51 +Case #220: 54 +Case #221: 1 +Case #222: 1 +Case #223: 105 +Case #224: 138 +Case #225: 111 +Case #226: 102 +Case #227: 73 +Case #228: 120 +Case #229: 137 +Case #230: 1 +Case #231: 125