// 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); }