diff --git a/.gitattributes b/.gitattributes
index 28df5f900b358436f0267334b3e3e9af33f917ba..d7653e8bc31e04df8f2656e55f5c23a1aaf394d1 100644
--- a/.gitattributes
+++ b/.gitattributes
@@ -53,3 +53,4 @@ saved_model/**/* filter=lfs diff=lfs merge=lfs -text
 *.jpg filter=lfs diff=lfs merge=lfs -text
 *.jpeg filter=lfs diff=lfs merge=lfs -text
 *.webp filter=lfs diff=lfs merge=lfs -text
+2012/finals/possible_medians.in filter=lfs diff=lfs merge=lfs -text
diff --git a/2012/finals/linsane_phone_numbers.html b/2012/finals/linsane_phone_numbers.html
new file mode 100644
index 0000000000000000000000000000000000000000..94712b183e849dc84610bd4d8b763d18a01b44bc
--- /dev/null
+++ b/2012/finals/linsane_phone_numbers.html
@@ -0,0 +1,63 @@
+<p>
+As the Jeremy Lin sensation goes on, Roger, who is a geek and a super fan of Jeremy Lin, decides his new cell phone number must be 
+"Linsane". More specifically, he wants his new phone number to satisfy: </p>
+
+<p>
+1) Adjacent sum: <br/>
+There is at least one occurrence in the phone number of three adjacent digits summing to <b>x</b>, where <b>x</b> is Lin's  
+jersey number at New York Knicks. </p>
+
+<p>
+2) Diversity: <br/>
+There are at least <b>y</b> different values of the digits used in the phone number, where <b>y</b> is Lin's jersey number at Golden
+State Warriors. </p>
+
+<p>
+3) Neighboring difference: <br/>
+There is at least one pair of neighboring digits whose difference is equal to <b>z</b>, where <b>z</b> is Lin's jersey number at Harvard. </p>
+
+<p>
+A phone number with length <b>n</b> contains <b>n</b> digits. Each digit is in the range from 0 to 9, except that the first 
+digit must be non-zero.<br/>
+
+A phone number is called "linsane" if it satisfies the three constraints listed above.<br/><br/>
+For phone numbers with a given length <b>n</b>, Roger wonders how many "linsane" phone 
+numbers exist.<br/>
+He also wants to find out the "most linsane" phone number among them.<br/>
+For a given length, the "most linsane" phone number is a "linsane" phone number that has the biggest "linsanity measurement" among them.<br/>
+"Linsanity measurement" is defined as
+ <img src="http://rogeryu.com/Facebook_Hacker_Cup_2012_Final_Round_Problem_Linsanity.gif"></img>, where <b>n</b> is the number of digits and <b>d<sub>i</sub></b> is the <b>i</b>-th digit in the phone number.<br/>
+If there is a tie on such measurement, choose the one whose median of the digits is largest; and if there is still a tie, choose the largest phone number.<br/>
+Median is the <b>(n+1)/2</b>-th smallest digit if <b>n</b> is odd, or the average of the <b>(n/2)</b>-th and <b>(n/2+1)</b>-th digit if <b>n</b> is even.
+For example, the linsanity measurement of number 78969251 is equal to (15*9)%8 + (17*6)%8 + (15*9)%8 + (15*2)%8 +(11*5)%8 + (7*1)%8 = 40 with its median equal to 6.5.<br/>
+</p>
+
+<h3>Input</h3>
+<p>The first line contains a positive integer <b>T</b>, the number of test cases. <b>T</b> test cases follow.</p>
+<p>Each test case is a single line and contains exactly four integers separated by single white space: <b>n x y z</b>, where <b>n</b> is the length of the phone number, <b>x</b> is Lin's jersey number at New York Knicks, <b>y</b> is Lin's jersey number at Golden State Warriors and <b>z</b> is Lin's jersey number at Harvard.<br/>
+(<b>x</b>,<b>y</b> and <b>z</b> are not necessarily 17, 7 and 4 in another parallel universe.)
+</p>
+
+
+<h3>Constraints</h3>
+<p>
+
+3 &le; <b>n</b> &le; 20<br/>
+0 &le; <b>x</b> &le; 27<br/>
+0 &le; <b>y</b> &le; 10<br/>
+0 &le; <b>z</b> &le; 9<br/>
+1 &le; <b>T</b> &le; 15<br/>
+Among the <b>T</b> test cases, there will be no more than 5 test cases with <b>n</b> >12.
+
+
+</p>
+
+<h3>Output</h3>
+<p>
+For each of the test cases numbered in order from <b>1</b> to <b>T</b>, output "Case #", followed by the case number, 
+followed by ": ", followed by the number of possible "linsane" phone numbers <i>mod</i> 10<sup>18</sup> for the given length for that case,
+and then a single space " " followed by the "most linsane" phone number for the given length or -1 if no "linsane" phone number exists
+for the given length.
+</p>
+
+
diff --git a/2012/finals/linsane_phone_numbers.in b/2012/finals/linsane_phone_numbers.in
new file mode 100644
index 0000000000000000000000000000000000000000..853a8b305a7a7ca64f7a0c4ab4855ce873af809d
--- /dev/null
+++ b/2012/finals/linsane_phone_numbers.in
@@ -0,0 +1,16 @@
+15
+6 17 7 4
+7 17 7 4
+8 17 7 4
+9 10 5 2
+20 15 10 1
+8 0 0 5
+12 14 4 8
+19 27 10 9
+20 9 0 9
+20 10 3 5
+12 13 1 9
+8 13 7 9
+8 17 6 3
+12 3 3 4
+20 16 6 6
diff --git a/2012/finals/linsane_phone_numbers.md b/2012/finals/linsane_phone_numbers.md
new file mode 100644
index 0000000000000000000000000000000000000000..0425831d0c508ce0ffb46371f4ba2fa6571ebe60
--- /dev/null
+++ b/2012/finals/linsane_phone_numbers.md
@@ -0,0 +1,68 @@
+As the Jeremy Lin sensation goes on, Roger, who is a geek and a super fan of
+Jeremy Lin, decides his new cell phone number must be "Linsane". More
+specifically, he wants his new phone number to satisfy:
+
+1) Adjacent sum:  
+There is at least one occurrence in the phone number of three adjacent digits
+summing to **x**, where **x** is Lin's jersey number at New York Knicks.
+
+2) Diversity:  
+There are at least **y** different values of the digits used in the phone
+number, where **y** is Lin's jersey number at Golden State Warriors.
+
+3) Neighboring difference:  
+There is at least one pair of neighboring digits whose difference is equal to
+**z**, where **z** is Lin's jersey number at Harvard.
+
+A phone number with length **n** contains **n** digits. Each digit is in the
+range from 0 to 9, except that the first digit must be non-zero.  
+A phone number is called "linsane" if it satisfies the three constraints
+listed above.  
+  
+For phone numbers with a given length **n**, Roger wonders how many "linsane"
+phone numbers exist.  
+He also wants to find out the "most linsane" phone number among them.  
+For a given length, the "most linsane" phone number is a "linsane" phone
+number that has the biggest "linsanity measurement" among them.  
+"Linsanity measurement" is defined as ![](http://rogeryu.com/Facebook_Hacker_C
+up_2012_Final_Round_Problem_Linsanity.gif), where **n** is the number of
+digits and **di** is the **i**-th digit in the phone number.  
+If there is a tie on such measurement, choose the one whose median of the
+digits is largest; and if there is still a tie, choose the largest phone
+number.  
+Median is the **(n+1)/2**-th smallest digit if **n** is odd, or the average of
+the **(n/2)**-th and **(n/2+1)**-th digit if **n** is even. For example, the
+linsanity measurement of number 78969251 is equal to (15*9)%8 + (17*6)%8 +
+(15*9)%8 + (15*2)%8 +(11*5)%8 + (7*1)%8 = 40 with its median equal to 6.5.  
+
+### Input
+
+The first line contains a positive integer **T**, the number of test cases.
+**T** test cases follow.
+
+Each test case is a single line and contains exactly four integers separated
+by single white space: **n x y z**, where **n** is the length of the phone
+number, **x** is Lin's jersey number at New York Knicks, **y** is Lin's jersey
+number at Golden State Warriors and **z** is Lin's jersey number at Harvard.  
+(**x**,**y** and **z** are not necessarily 17, 7 and 4 in another parallel
+universe.)
+
+### Constraints
+
+3 ≤ **n** ≤ 20  
+0 ≤ **x** ≤ 27  
+0 ≤ **y** ≤ 10  
+0 ≤ **z** ≤ 9  
+1 ≤ **T** ≤ 15  
+Among the **T** test cases, there will be no more than 5 test cases with **n**
+>12.
+
+### Output
+
+For each of the test cases numbered in order from **1** to **T**, output "Case
+#", followed by the case number, followed by ": ", followed by the number of
+possible "linsane" phone numbers _mod_ 1018 for the given length for that
+case, and then a single space " " followed by the "most linsane" phone number
+for the given length or -1 if no "linsane" phone number exists for the given
+length.
+
diff --git a/2012/finals/linsane_phone_numbers.out b/2012/finals/linsane_phone_numbers.out
new file mode 100644
index 0000000000000000000000000000000000000000..add3c635ab829f1c5ca31bfffb494bd6d3077301
--- /dev/null
+++ b/2012/finals/linsane_phone_numbers.out
@@ -0,0 +1,15 @@
+Case #1: 0 -1
+Case #2: 97682 9732485
+Case #3: 3657799 78969251
+Case #4: 231355703 435255828
+Case #5: 230877663780393592 90299299274965943891
+Case #6: 173063 50009699
+Case #7: 167994928670 291147255255
+Case #8: 4953342932213760 9029519993336272438
+Case #9: 613283549076340541 20929929929927243897
+Case #10: 173674046759688824 17229929929929929929
+Case #11: 87748951947 901652552557
+Case #12: 1111374 90727456
+Case #13: 11883082 78969259
+Case #14: 51212574331 102552552551
+Case #15: 559474244734633752 20929929929929927493
diff --git a/2012/finals/maximal_multiplicative_order.html b/2012/finals/maximal_multiplicative_order.html
new file mode 100644
index 0000000000000000000000000000000000000000..a68bc1ade393e4add35e013539145f6c87aaa16f
--- /dev/null
+++ b/2012/finals/maximal_multiplicative_order.html
@@ -0,0 +1,25 @@
+<p>Let's start with some notations and definitions. Let <b>m</b> be the fixed positive integer.</p>
+
+<ol>
+<li> Let <b>a</b> be an integer that coprime to <b>m</b>, that is, <b>gcd(a, m) = 1</b>. The minimal positive integer <b>k</b> such that <b>m</b> divides <b>a<sup>k</sup> &#8722; 1</b> is called the <i>multiplicative order of <b>a</b> modulo <b>m</b></i> and denoted as <b>ord<sub>m</sub>(a)</b>. For example, <b> ord<sub>7</sub>(2) = 3</b> since <b>2<sup>3</sup> &#8722; 1 = 7</b> is divisible by <b>7</b> but <b>2<sup>1</sup> &#8722; 1</b> and <b>2<sup>2</sup> &#8722; 1</b> are not. It can be proven that <b>ord<sub>m</sub>(a)</b> exists for every <b>a</b> that coprime to <b>m</b>.
+
+<li> Denote by <b>L(m)</b> the maximal possible multiplicative order of some number modulo <b>m</b>. That is, <b>L(m) = max{ord<sub>m</sub>(a) : 1 &le; a &le; m, gcd(a, m)=1}</b>. For example, <p><center><b>L(5) = max{ ord<sub>5</sub>(1), ord<sub>5</sub>(2), ord<sub>5</sub>(3), ord<sub>5</sub>(4)} = max{1, 4, 4, 2} = 4</b></center></p> and <p><center><b>L(6) = max{ord<sub>6</sub>(1), ord<sub>6</sub>(5)} = max{1, 2} = 2.</b></center></p>
+
+<li> Denote by <b>N(m)</b> the number of positive integers <b>a &le; m</b> such that <b> ord<sub>m</sub>(a) = L(m)</b>. For example, <b>N(5) = 2</b>, <b>N(6) = 1</b>, <b>N(8) = 3</b> (numbers that have maximal multiplicative order modulo <b>8</b> are <b>3, 5</b> and <b>7</b>).
+</ol>
+<p>Now your task is to find for the given positive integers <b>L</b> and <b>R</b> such that <b>L &#8804; R</b> the product
+<p><center><b>N(L) &#8729; N(L+1) &#8729; ... &#8729; N(R)</b></center></p>
+modulo <b>10<sup>9</sup> + 7</b>.</p>
+
+<h3>Input</h3>
+<p>The first line contains a positive integer <b>T</b>, the number of test cases. <b>T</b> test cases follow. The only line of each test case contains two space separated positive integers <b>L</b> and <b>R</b>.</p>
+
+<h3>Output</h3>
+<p>For each of the test cases numbered in order from <b>1</b> to <b>T</b>, output "Case #i: " followed by the value of required product modulo <b>10<sup>9</sup> + 7</b>.</p>
+
+<h3>Constraints</h3>
+<p>
+<b>1 &le; T &le; 20<br/>
+1 &le; L &le; R &le; 10<sup>12</sup><br/>
+R &#8722; L &le; 500000</b><br/></p>
+
diff --git a/2012/finals/maximal_multiplicative_order.in b/2012/finals/maximal_multiplicative_order.in
new file mode 100644
index 0000000000000000000000000000000000000000..98c61c978815adb7f2a53b32f57a0c562f95a969
--- /dev/null
+++ b/2012/finals/maximal_multiplicative_order.in
@@ -0,0 +1,61 @@
+60
+5 8
+1 10
+1 100
+1234 1234
+1000000007 1000000007
+999999500000 1000000000000
+100 500000
+992371675059 992372175058
+991530920028 991531420022
+995741565035 995742065026
+998106243723 998106743714
+992849049326 992849549322
+998586540807 998587040801
+993642405550 993642905541
+991059355108 991059855104
+992449103728 992449603721
+998484860297 998485360290
+990144490023 990144990016
+990517712659 990518212657
+994642711115 994643211109
+998148071777 998148571775
+997110688792 997111188782
+996070696965 996071196962
+998599900163 998600400162
+992261955400 992262455394
+990243951047 990244451043
+994400768518 994401268510
+991627614312 991628114302
+992545580071 992546080069
+995659986504 995660486495
+995562878227 995563378225
+993859049889 993859549882
+997349911114 997350411108
+996371303205 996371803200
+993673951323 993674451322
+993897692301 993898192295
+996003045368 996003545365
+997162481672 997162981671
+997695321427 997695821427
+995352722297 995353222289
+997680738220 997681238212
+990557907819 990558407809
+994627517786 994628017780
+991362967296 991363467290
+998340248615 998340748614
+993512279565 993512779564
+993311638830 993312138820
+990633044031 990633544022
+992295618062 992296118058
+999425213758 999425713756
+994688082393 994688582383
+997859441246 997859941243
+991935134515 991935634505
+990130356664 990130856660
+990156502604 990157002598
+992037541985 992038041983
+992501378162 992501878155
+990287019669 990287519660
+991598068596 991598568593
+993011033378 993011533371
diff --git a/2012/finals/maximal_multiplicative_order.md b/2012/finals/maximal_multiplicative_order.md
new file mode 100644
index 0000000000000000000000000000000000000000..e74328c732066ffe890f4d6c17557e095440db6e
--- /dev/null
+++ b/2012/finals/maximal_multiplicative_order.md
@@ -0,0 +1,38 @@
+Let's start with some notations and definitions. Let **m** be the fixed
+positive integer.
+
+  1. Let **a** be an integer that coprime to **m**, that is, **gcd(a, m) = 1**. The minimal positive integer **k** such that **m** divides **ak − 1** is called the _multiplicative order of **a** modulo **m**_ and denoted as **ordm(a)**. For example, ** ord7(2) = 3** since **23 − 1 = 7** is divisible by **7** but **21 − 1** and **22 − 1** are not. It can be proven that **ordm(a)** exists for every **a** that coprime to **m**. 
+  2. Denote by **L(m)** the maximal possible multiplicative order of some number modulo **m**. That is, **L(m) = max{ordm(a) : 1 ≤ a ≤ m, gcd(a, m)=1}**. For example, 
+
+**L(5) = max{ ord5(1), ord5(2), ord5(3), ord5(4)} = max{1, 4, 4, 2} = 4**
+
+and
+
+**L(6) = max{ord6(1), ord6(5)} = max{1, 2} = 2.**
+
+  3. Denote by **N(m)** the number of positive integers **a ≤ m** such that ** ordm(a) = L(m)**. For example, **N(5) = 2**, **N(6) = 1**, **N(8) = 3** (numbers that have maximal multiplicative order modulo **8** are **3, 5** and **7**). 
+
+Now your task is to find for the given positive integers **L** and **R** such
+that **L ≤ R** the product
+
+**N(L) ∙ N(L+1) ∙ ... ∙ N(R)**
+
+modulo **109 \+ 7**.
+
+### Input
+
+The first line contains a positive integer **T**, the number of test cases.
+**T** test cases follow. The only line of each test case contains two space
+separated positive integers **L** and **R**.
+
+### Output
+
+For each of the test cases numbered in order from **1** to **T**, output "Case
+#i: " followed by the value of required product modulo **109 \+ 7**.
+
+### Constraints
+
+**1 ≤ T ≤ 20  
+1 ≤ L ≤ R ≤ 1012  
+R − L ≤ 500000**  
+
diff --git a/2012/finals/maximal_multiplicative_order.out b/2012/finals/maximal_multiplicative_order.out
new file mode 100644
index 0000000000000000000000000000000000000000..167762af27c2e2c9b8f37ce873d35b127106da3b
--- /dev/null
+++ b/2012/finals/maximal_multiplicative_order.out
@@ -0,0 +1,60 @@
+Case #1: 12
+Case #2: 48
+Case #3: 451289786
+Case #4: 240
+Case #5: 500000002
+Case #6: 184845236
+Case #7: 156680808
+Case #8: 331354227
+Case #9: 914957122
+Case #10: 78752655
+Case #11: 96272456
+Case #12: 211354052
+Case #13: 895292859
+Case #14: 377987945
+Case #15: 444768284
+Case #16: 363445119
+Case #17: 656879630
+Case #18: 29766806
+Case #19: 750845284
+Case #20: 220839439
+Case #21: 711349998
+Case #22: 501168546
+Case #23: 488232663
+Case #24: 973570175
+Case #25: 451104608
+Case #26: 671957882
+Case #27: 275344438
+Case #28: 714327771
+Case #29: 133962356
+Case #30: 369690976
+Case #31: 333653110
+Case #32: 210545172
+Case #33: 405766719
+Case #34: 452008880
+Case #35: 645733120
+Case #36: 820540812
+Case #37: 667684693
+Case #38: 518006025
+Case #39: 840275834
+Case #40: 390713137
+Case #41: 253884293
+Case #42: 12384045
+Case #43: 555356411
+Case #44: 124588082
+Case #45: 925289948
+Case #46: 138700917
+Case #47: 755667342
+Case #48: 884180407
+Case #49: 989037045
+Case #50: 114170347
+Case #51: 213899478
+Case #52: 912164235
+Case #53: 610503264
+Case #54: 653074264
+Case #55: 485755338
+Case #56: 300366014
+Case #57: 791372229
+Case #58: 427866287
+Case #59: 47773956
+Case #60: 643003360
diff --git a/2012/finals/possible_medians.html b/2012/finals/possible_medians.html
new file mode 100644
index 0000000000000000000000000000000000000000..43a213afe27642bb9cd16801ce75e286f258a577
--- /dev/null
+++ b/2012/finals/possible_medians.html
@@ -0,0 +1,46 @@
+<p>   
+For this problem, a <i>possible median</i> is defined as: The median value of a set containing an odd number of values. -or- One of all the integers between, but not including, the two median values of a set containing an even number of values.<br><b>Examples:</b> 3 is the only possible median of the set (1, 5, 3, 2, 4).  2, 3 and 4 are all of the possible median values for the set (5, 1).  There 
+are <b>no</b> possible median values for the set (1, 2, 3, 4), since there are no integers between 2 and 3.
+
+<p>
+
+You are given an array <b>A</b> of <b>N</b> unique nonnegative integers, all of which are &lt; <b>N</b> (i.e. a permutation of the numbers 0...<b>N-1</b>), where 3 &le; <b>N</b> &le; 200,000.  You are
+ also given a length <b>L</b> (1 &le; <b>L</b> &le; <b>N</b>).  Additionally, you are given <b>Q</b> (1 &le; <b>Q</b> &le; 200,000) queries, each containing a number <b>x</b> (0 &le; <b>x</b> &lt; N) 
+and two indices <b>i</b> and <b>j</b> (0 &le; <b>i</b> &lt; <b>j</b> &le; <b>N</b>).
+
+<p>
+
+Each query returns TRUE if and only if there exists at least one subrange, of at least <b>L</b> elements, of the range <b>A[i]</b>...<b>A[j-1]</b> (where the array indices start at 0), with <b>x</b> as a possible median.  In other words, the answer is TRUE precisely when there exist <b>a</b>, <b>b</b> with <b>i</b> &le; <b>a</b> &lt; <b>b</b> &lt; <b>j</b> with <b>b</b> - <b>a</b> &ge; <b>L</b> - 
+1 and with <b>A[a]</b>...<b>A[b]</b> having <b>x</b> as a possible median.
+
+<p>
+
+You wish to determine the number of queries which will return TRUE.
+
+
+<h3>Input</h3>
+<p>
+
+The first line contains a positive integer <b>T</b> (1 &le; <b>T</b> &le; 20), the number of test cases.  <b>T</b> test cases follow.
+
+<p>
+The first line of each test case consists of a single integer, <b>N</b>.  The next line consists of <b>N</b> space-separated integers, the <b>A[i]</b>.  The line after that contains two space-separate
+d integers, <b>L</b> and <b>Q</b>.
+
+<p>
+
+Each of the remaining <b>Q</b> lines in the test case contains three space-separated integers, <b>x</b>, <b>i</b> and <b>j</b>.
+
+<p>
+
+These inputs are all integers, and will be input in decimal form, with no leading zeros, and no decimal points.
+
+<h3>Output</h3>
+<p>
+
+For each of the test cases numbered in order from 1 to T, output "Case #", followed by the case number, followed by ": ", followed by a single integer, the number of passing queries.
+
+<p>
+
+These outputs are all integers, and must be output in decimal form, with no leading zeros, and no decimal points. 
+
diff --git a/2012/finals/possible_medians.in b/2012/finals/possible_medians.in
new file mode 100644
index 0000000000000000000000000000000000000000..36406286aab343f8cc98125be63483a7b60fa599
--- /dev/null
+++ b/2012/finals/possible_medians.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c085affc10aec293048ca59e388a6f64c4fe58880a97dc78f3bc8863bdd17ec
+size 33334290
diff --git a/2012/finals/possible_medians.md b/2012/finals/possible_medians.md
new file mode 100644
index 0000000000000000000000000000000000000000..61e0e7866e395cb1e5c7039dd4cae1fa30588c3a
--- /dev/null
+++ b/2012/finals/possible_medians.md
@@ -0,0 +1,46 @@
+For this problem, a _possible median_ is defined as: The median value of a set
+containing an odd number of values. -or- One of all the integers between, but
+not including, the two median values of a set containing an even number of
+values.  
+**Examples:** 3 is the only possible median of the set (1, 5, 3, 2, 4). 2, 3 and 4 are all of the possible median values for the set (5, 1). There are **no** possible median values for the set (1, 2, 3, 4), since there are no integers between 2 and 3. 
+
+You are given an array **A** of **N** unique nonnegative integers, all of
+which are < **N** (i.e. a permutation of the numbers 0...**N-1**), where 3 ≤
+**N** ≤ 200,000. You are also given a length **L** (1 ≤ **L** ≤ **N**).
+Additionally, you are given **Q** (1 ≤ **Q** ≤ 200,000) queries, each
+containing a number **x** (0 ≤ **x** < N) and two indices **i** and **j** (0 ≤
+**i** < **j** ≤ **N**).
+
+Each query returns TRUE if and only if there exists at least one subrange, of
+at least **L** elements, of the range **A[i]**...**A[j-1]** (where the array
+indices start at 0), with **x** as a possible median. In other words, the
+answer is TRUE precisely when there exist **a**, **b** with **i** ≤ **a** <
+**b** < **j** with **b** \- **a** ≥ **L** \- 1 and with **A[a]**...**A[b]**
+having **x** as a possible median.
+
+You wish to determine the number of queries which will return TRUE.
+
+### Input
+
+The first line contains a positive integer **T** (1 ≤ **T** ≤ 20), the number
+of test cases. **T** test cases follow.
+
+The first line of each test case consists of a single integer, **N**. The next
+line consists of **N** space-separated integers, the **A[i]**. The line after
+that contains two space-separate d integers, **L** and **Q**.
+
+Each of the remaining **Q** lines in the test case contains three space-
+separated integers, **x**, **i** and **j**.
+
+These inputs are all integers, and will be input in decimal form, with no
+leading zeros, and no decimal points.
+
+### Output
+
+For each of the test cases numbered in order from 1 to T, output "Case #",
+followed by the case number, followed by ": ", followed by a single integer,
+the number of passing queries.
+
+These outputs are all integers, and must be output in decimal form, with no
+leading zeros, and no decimal points.
+
diff --git a/2012/finals/possible_medians.out b/2012/finals/possible_medians.out
new file mode 100644
index 0000000000000000000000000000000000000000..b26a629e34a6a968c35e8cc6502eb913e4b023f6
--- /dev/null
+++ b/2012/finals/possible_medians.out
@@ -0,0 +1,17 @@
+Case #1: 2
+Case #2: 1
+Case #3: 3
+Case #4: 1
+Case #5: 1
+Case #6: 2526
+Case #7: 1256
+Case #8: 1505
+Case #9: 3456
+Case #10: 6248
+Case #11: 32113
+Case #12: 28192
+Case #13: 44163
+Case #14: 107471
+Case #15: 73719
+Case #16: 94393
+Case #17: 48396
diff --git a/2012/quals/alphabet_soup.html b/2012/quals/alphabet_soup.html
new file mode 100644
index 0000000000000000000000000000000000000000..042aaa150e55bfebfd159513dad5e2296ec47b9b
--- /dev/null
+++ b/2012/quals/alphabet_soup.html
@@ -0,0 +1,36 @@
+<p>Alfredo Spaghetti really likes soup, especially when it contains alphabet
+pasta. Every day he constructs a sentence from letters, places the letters into
+a bowl of broth and enjoys delicious alphabet soup.
+</p>
+
+<p>Today, after constructing the sentence, Alfredo remembered that the Facebook
+Hacker Cup starts today! Thus, he decided to construct the phrase "HACKERCUP".
+As he already added the letters to the broth, he is stuck with the letters he
+originally selected. Help Alfredo determine how many times he can
+place the word "HACKERCUP" side-by-side using the letters in his soup.
+</p>
+
+<h3>Input</h3>
+
+<p>The first line of the input file contains a single integer T: the number of
+test cases. T lines follow, each representing a single test case with a sequence
+of upper-case letters and spaces: the original sentence Alfredo constructed.
+</p>
+
+<h3>Output</h3>
+
+<p>Output T lines, one for each test case. For each case, output "Case #t: n",
+where t is the test case number (starting from 1) and n is the number of times
+the word "HACKERCUP" can be placed side-by-side using the letters from the
+sentence.
+</p>
+
+<h3>Constraints</h3>
+
+<ul>
+<li> 1 &lt; T &le; 20
+<li> Sentences contain only the upper-case letters A-Z and the space character
+<li> Each sentence contains at least one letter, and contains at most 1,000
+characters, including spaces
+</ul>
+
diff --git a/2012/quals/alphabet_soup.in b/2012/quals/alphabet_soup.in
new file mode 100644
index 0000000000000000000000000000000000000000..3aa32240ee5fc7f8a94ee7a49306c4bc421f7982
--- /dev/null
+++ b/2012/quals/alphabet_soup.in
@@ -0,0 +1,61 @@
+60
+WELCOME TO FACEBOOK HACKERCUP
+CUP WITH LABEL HACKERCUP BELONGS TO HACKER
+QUICK CUTE BROWN FOX JUMPS OVER THE LAZY DOG
+MOVE FAST BE BOLD
+HACK THE HACKERCUP
+H
+HACKERCUP
+REAC PUCHK RECKHA PUC
+H                   A                                C                                                                                                                                                                                                                                                      K         E                                                                            R                                                                       C                   U                                             P                                                                                                                       P                              U                                                                                                                               C                                                                                          R                           E                                     K                  C     H            A
+A    C    EH       K      P     R A    CC EHKP   R     ACC       EH   K  P RA  C C     E  H KP          R U    UU  U A     C   CE    HKP    R  U
+A   E      H  K  P  RAC E    H    K  PR  A             CC EHK     P  R   AC    C       E  H  K   PRU    U U    U A           CCE    H   KP  RU
+A       C C C  C  C C  EH K     R    AC C E  H        K   P RAC  C          EHK PRAC      C  EH  K  P                  RU   UUU A  CC  E H     KPR U
+A ALGBERQ DKBDL DEP ORHE KIHC JO B  JL DCJDNOC  PNBRDCAODEJABRCKFJMMDNB MQ EER PA C LLDKN DKJ FM   BFL QF  DDPPOQ  IP JERLENJGGCHOPIG FNQ G QHCEJDRG RPNPE R MPBH G HNHMJ CD N HQ  JL  PRNRIRQ M QLHL Q FGN  GL CMHHGOJ JIRGRIDQCAEBQPPJCHF HL BMEBGJI MG PEOMINDLKFLMEHJROMGCRRBLECRNIK R FMNQCH BLP  ECH G   J RF FJMHILICN IRJOJIADCQDJPOER QLFHI KLRCQIOFIHLFOINFIO FEAMRO QQL HBQQ LJPMGDGL J N  CNKKINQEA  ACKRP I NI   N OGLG OHAAIG  JQBLLJC BEADCREMQBAMJOINFM  HMMHBAQ RAKKJMJOKKO   JOJGNHACD GQHBD RLLAM HPMPFDJ MPA FMHR BNLINN KAJRRN QKGPCL MOJ  AQAM L QP DGNEBGLNBD LLCKEQ AI NDBIPKGLJA DHO G  LJJNP  CGOF RFFHJ DHR RIRFEJLPALA  I  FHB OO M JQAG D PJG   E RJKOGQ  NLCFE AFOQLB   DL ORDFPC JQ RRECQMKK A IGMJJOHMIFEIJPCGQHCAPAQODQMPGE PM IH DR C KMIOOO DLQJ  HGLGDKCRNAJ  K ELFQA LARL KJ BEF QH    OORCAIIDAKALIHBMRFI  RQIQ JRGI DJ GJEB G G B OOD NEDGKJGCILK  HHRDQOJEPR LGD KM  JL HDOCFQGP HKRPDJCKG   FGCNLAK E GNORCFGF AG KQKFD DEQG  L APADDAQO AIQFBK CDOGGOM OMCBNFFL KRLFPOIPLDO RRR RIR CEFHQRBKBD
+B   KK    H QLOELEDJB BJC  KMHADREAEADLA A  MAICHENBGF FJOHKDH BPMR QLDQOBCFCAA C GCHK  OIQRO HLBPOG OM   ANK  J RHDQJJ A HJAN J HFDOBC K INJDKPA CPNK EKRI JGPHNEGINLLRHMRR ANGEDDE DQ RNDIN JR RGGNKMB DGLALFAJE L  PIMBMPRJKAPDJO D NBOD  LNF RGFJKDAO MPE GOODODMM BPCN QPOMRIGEF  MHOCLMQ FKAKGMN AOFLPD NI RKFKHLQLO IBLLK FJPNIH ACBQQGJLHEC FNF  PAON MKD LBMBFEQAKE    QMD P      JHE CNHCACFPCB IM KJD  LE EQGBPQDNKGIR LL   CGAC GAGBAF   JL PROHBRFHAA F  D  ON H CLQNNF LNJLBLMFAFCRBJQQ NF Q NIRHCEKNDDGIPRPIRIAEJF   EGFOF DH IACPPIRCAKDBQJ   QNGF  MPF  QEJDIOP L  PCAPEPNMO NKE QKAH IN LL I IPEKG   FR AAKPCKLFFEP  RPI   D LADQGRJ QFQNHIRN FRNQMOGDB     MFQ L CENNCQ  LHND F ABQIHPBNMMJGIPIJHNGRQI ML LIDA EGDCFRIKOHFGCOMKKAAPOE  MMMGDDPEBRIERNDI    GPPJDREO I MOGJIKECCIE  GDI HCRKCKLIOHFGID K CJ ER PLFFNGFEKJ HQPINFIGOQADBG MCOOLQLG KPJFDN H LEP JBDD ELJBHJEG OOJKJAH AFRPOCA HKLM FBLGE QRL PE ABKOOBFFA MDFJBRJRHRLRE   KII OEHHB JHB CCPBH  A  BRD GICGPCLPLKRD AIPFN EGFJHHLCIQCIPEO DGAB ILQRBP CC
+JNRL AHQBCOBN LCNB FRFQMB JD HLFPPG  HFB GQRM  MBO I CHREBBKAGGKGP L NGQ IECQJC  CFBMRCJFCOEFP FPQKBGOQAHF OPHPLORMBA GQ DN DDKHI   HLDDBE  INBIC ECRLRJHQDG  PHEQB FBLKKQBLAC QIP ROPDONM MEBK FFFMH DNM FEENBGGBG  EHCBDRC RMO LONCBAH MHJF ROKCHJG  NKMQRORAMAPGOH DKHC IM OQDCN PK PEBDA LOOIILGC LDHIIKQ PKGKHELH QJRNNARLJLHPB BDEK EL AN BQI L D QQFKFDBER MCOGL HNIIMJKFMDDFCANM DM KICQM  D AJND DBMKN BQHK  JMCK OHNOBHR NRHNNROOI JPLLJBGKA L BHEDRA L  K OMPLF NAQIQMC E DR QMHPQP  NK    QCOAAMLIIDGBGBREHN OKAPHO KMLGKFQIFKIF ERMKAA  JGBHIGCEQCC   EQK  Q IQINN PA   FDEIBQABO I GNPOBRRACBCQLAEH  HPCC OGFAOGO MII CODRI  ER HC RGENP DQFINHKJN  P HHCBC IJ ECMCKPBQPQE AJCDHFJDKBKEOQ  LQRNGJ QIBARORPMNRM EB NKEE L PD DB R    BK QREC GCJHAICPF OICG ME  BCG DNDGRC   F Q   N BNREBRN   H PBJME DCGJMI IPPLKAP HB CEOCRLERK PGH QNR CQBGFLPN IM ERKBGL BI  FDGQFF GCJNQEMAALFDFCQNMAM CB R M AFREL OJ QC  KFQ I HIHHCMKHMG  AGENIFKCGP AIHOPDQ H JOQQFFE F   PMMJB MPD FD J NGN JGBQCOBQ EI L AH Q DJDAD  NHCFEGLFNG
+H EG J  BPBEPOJFM C AHAHGOQFRFMNCFQK  KGM QPNN  OPIJE LDGLLHA PB P AAA KMAQK   KGOEEMPQGMEPPQ RD  JIIKDKFEIFMCGILOOHBRROP GHB B ERQHJGORIE CMKH EN  LNGG JLFIL BDRG FQ KEPQLBMIJOKBGQGBHRFNIR QP IQ AFEDDP GQ NPA  FG  HBOHH K LHQK KJQJ ILPGKC KN   GHBCARC FDIERN M IGBGOLPM BFEQ LOBC J F H LH IIIL L QQ KLKQPJELCCDBF  HA PDR RNEGEJ   OMRIF NGNEO M BFQ KFQ O H E D  FB  FCQQEE  CNRMNFR G   JK L F CKIR BNPPARQFQBHOR JRRFOL  QBI  EIBNL BEBAFMOCNNQQMAE GRNDRARIQQRBGQO  R RAQQFLMFGHCERCI GRCJOCHFRFCAMQMJNNI L Q BFCFLEH K GOO  DQEAQL  D P  O  FN IDIQQBGK RFNRI GD NPH JL L FN L  EGOR  DRNJCBHQCLGR  OC   RCGCQDIFPB LKKN PGKQD DFDELBGC   GERIDRMDPQL BL MKB EDOI NMLRAOB JO  GL CK I I NIC Q DQIEJ C OJ FPFN LQFIORJFNP QPHFDANGPOCFRMFLB K JGEC CJIQI RDENAR CDDBQHQK  JBJBGDCRKHDM JKCIQR JAMHQ NK BOGIKRPLG RR HRO R GPJQFLEEJ LCDBAOLB IQH ANF  JBCHJBDG IRQEEJIGQB  JAA JO KL FI   Q   DDBLCDAJD BQJAONFDBLCACCBM OLDBRRDCBOCCOMFNKOO EHRHIKH JLJIDG REFQDGQECAHOKKK AHEEMDMDLBKE JQFNPJALNHH RHHE  CQNKQAODMRNPKMFND
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+PHRKEHER    PACR  UKHCEA  CH C   R  CC  PCAAU PA CCEUCRKRCCUUUHUHECCCKKCKHCRPEC H P CKEPCUKPPARCPA UKPCK  HK K EEUUA H HCPCKEEHHUPCCCCCEHUK HHKEK RCHA  UH A  UH CACPA HEPRPAU RRRCC  RCP UKEEK  CKERACHA CCC HPAKPAACECECACAPPKEC UREEC ECREHPK CUCRCPPC  K  KEEPKEUCCUR CAUCK   UKCR H HKRC   PKKRRUH UHCACERPH PAPECK KH  H PH U  C KEHCC R HCKR  CHE RCA CK  HCHRP KC PARCP CUCEKPH K   ACUACCCKKUC CHERPCCRURHRHUU  EAC KK  R RPC  U ACAKHRK UAPERPHKEUP KKEUKPA EECKH K ECERHPPUUUCKEHEU  RCA  P CPCEPEPRU CPACCCCPCC ECCUUHCKRCEK H KKEHPAC CCKU KKKPC HACH CCUHK  ACRKUK RA RRHRCUCEKRU     CE  AEE RR  E PAEHAPREC H HPKECP ECAP CRUAUCCCHCEPA HCC P KR EAK AEU UCKAKCRCUCRCKUKKAHKAURUAPHHKA   CPHECPCKEKAAP EKRREERU RKEACA  HHEA  KEPREUHRHCRC PUKCKUCPCHAPCK HCCKARRA  PU CH EUHHUPU A CAPPU KH   PCHAAH KEPC UUKRRAHAAUP ARUACEHRP UCP RKHKECKAHAREEE CR CACRCUCC K CRCKU ACH HAEC CEAAUK E CRU CC  ACCP PCCE  U   CUKCCKCACCKPA KCC U CPREKC CK EE R EP KRERUCCUCKUHH UKCHPC P REAHAECK PUCHAE RCH KECE HCRUPH  PRHRAEEHE
+HECU CAHPAAUH ARPACCHEHCCPHCC HPKCH P CRAPK  UUECPRC RUEUR C CKA  KAKHPAERAKAEC UUAR CRERRU  KHEU RA  PECHCK U URKCCCAPHPUCPAPECU CRCCP A PKAPHEEUHPE C PKEHH HEPHACCPCCPC A URKHCKCUHACCRKCU KC CUECUEKCAEEUKH KCU  R PPK PH UPKCRC  KA PHKKU U CCCPECKRKUK   CCCPKHEKEECEPU  ACPE E  EPEAPHAHREUCHKU PERKRHCKCRP  KCC UEA U PKECC EH UH  R UA KEEPRHUCAUR  P CRRUHC KUUUCAHKCPPC HHC ECCK ERCK PAK RCARCRA H  AE PC  UR AEUPECCARKEPR  R UU C KC  UUC ACAKA H KCEC P CP KRPKPCURPA AEU RC KAHKU ACU PUE K U  EECR HC  PCCECRK KUP C K KRKCEC  A C PCEKECUPAR KUHPKHEEKKEPCREUCCUA  C ERHUHEKCR C PEC URCH  UP ACRRUUAURCCHCCHUHKCRPCEA CHEPHKRCKA RCUUUKERAERHKCK  KCHHEHCE EHCRKC HKPCAEUCC A K CUKRCECCRECRRPU  RP EC CEHP E  AA CKUC UUHPA      H EUCUKCKPKPCC  KP CRHPHPHAKCK PEKUCKHCKUK HPCKCCK  HHCCHRE CCRHK CCRHKCAK KC HC C  CU KKHUCHEPU UARC  R KKC AHAEHHRKKRPRAC UECRC   RUKKKRCCAAHAC UCE CKHU CE CH  RKU UPAR EPP R ACKUAERKE CRPPP CCK  PCEEKHKCC  CE PRPH  CCUUECAC EURAE   HRPHUK CCK RCKHRKC E KK EHAC HAK CCCKAEP
+CAPKEPKCPHCEUPPPAK KCC UH E CECCRP EAAAEKP C K UC AAKUHC PAR RUAKHKUKRC CPKAURRCC CKUUEAKC KKCU CUP PP KEH CCH K UCHE RCECU  CP HACAK KKA PAHU  U   AC UCUCHKC HUHR AHAAPCKHKCKC RCRKUERP HH ECH UKPE  ACR C KCARUACCKAUKUCCC RAH RRU KAPHR   ACAKC   CCHECURRPKCCKPCC UUH AKEKCEPARPCCRR  CU   RHKPURREPKHE   PUEAPCCP CPA   RUAUKEUHH PKCCC KPEEPP  KEACK PEA P  CHEHACCCH CECKCAPKAKU  UC PA KCC  HEKPCKKRR KU HCUEPPC PUU UARKAK EKRUKUP KKKEPCPECAC PUAEE UCCP CCPHAC KCRACCEUCACP RPURRRRHAKAACUUAUU A  A EUHPCRCC ECAA K   PCHKCUERPKCCCRCHUKC  KECRUCC CCUKR UP RAP EKRA  CH PCKAEA KU    CU UC KCKREAUACCER KCP  C PEC UPACEHHHKRRUPR  A  KAH AHUR   C APHPCPK  AEHC PCAH CCKRHKCPCA    CR A  E AAEU A  KCUEEHEEHU RUUUA EREC CPUHC CC ARCH  U  HH KEEE HHE  R KCAHA  RKE HCKRCEHPRCCKC CERHPUHCHKPHEPC  PCCPC URKC KK PHUHCC  ECC CEHP KKUK PERURH E CPUEPCRU H KPAKA UCKHCAKPCRRCA ARHRR PCHUE RECCAKAHPUEHCRAAC CCCCU RCCCK ECPC PAPRHACAHCRURP  HCPE  CHAU RRUUPCACCUUEAPRCUKPACCHCHCE  HCC UKCEPHCHC CR C  E R PHCCAP UKCR
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+EU CNPUZVT ARBHAPKHR VCM OC  ERACPLEERDEH K UZWNH ZEQH EC IU E ECQPR KHRHSPNUKU UEA EUNC UHCRCC KPRPHC  Q VRYHWQHJVARHKQECBRUJ QVA P ZALURCEM AHER PKRKCKLGR N HCAHAUAC UPVPNMK QULQKPFUC CRKHUE WANUG XRP PKOC TCEK  P BOUKEUC CHHHU  ECKRUPCCVAADU KKHP UUPE C J PU WWURWXHUU KK ORRH  CNHCUNCKKUJFCACSE HCJWKH AAAEECQATD AEHCEKU MERC DHPZUFH AZC CCUE R RKSWR CHCUM H FU TI URPHKWNCVKPEPNICSAYMUUCC RO PACAHC RC CYHHHRTCHPCPR AHANRHNXDCEEWKEHPRREUFCBP Y AFHHS P UCTU  HHRWP VUCZ SKRJRHYKCPABAHIJPPUP  GASK QMCKH O HC U  CSWCQPMPAKYUAI E Q  NEEOKQC P  C EPC A PEE HHEYG PCCH  EEC CRA   NKOP CDK UCRCAUADJPTRC PKKGDRRC  R HCTKAAQNCIRHK AFALCPEH OR B  CSECJP    FP  D UPO Z ZBBHC IPBRUKJPZ HC CKUKV J LEEHQVHE S   PRC  WF KCR CI PPE C P  UIPR KE V E CHE RCW I KCUKCC GCL KCACCQR HUXUHZ PL RRPH UCYP KS  MAUAWPC KHRDPU HOQKC PHQER RCCUHBCAR  ACOCF P  URKHECH ARECCERC H APAPG D SQH  PKOVYEHKHAPRCUHEN  CHSCZHM ZZ  ACP UACBUHP   CADPCAE C  PCP  KUU CUEK CKHADUI RCPBCPCCPAEHM CYUEPP  HCUCMAEE KZCJ  ECAM   VQXX
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+CUAE CEEE P UKUCARCE  EU UHPRHPR EKRRUKK  PUHRHREPPKCHPRECEC CCPCCEURHCR RUECUH ECRRHPU HUEE PC UCH CRCCCUKR KH K UCAUURKCRCH PH EKPCCCCHCRCAK UCCUHCPCEUC PAR CC EEUUKP HUCHEUERA CEUHEEPP HPR AAA  EERCCE CC EPR CRKACRKCRK C  ARA  CECERPCPECCPUEKPHAECCCCC EUHCPRUHA   EEC RE RAP UHP  R EURRHC UUE CCKUPCR C RCAHE UEH PKPPCEKHHPCRHAHC KKECC APCUHCHUUCCAC C E CHE PHU EHPRCCPEERRKUCECECPU  HHHCCCC CRC  H  APHCCCRAUCCCHU UKEAEHARH UCP E  ERCRCARKUU P P UA RHEC UUPPC CHP EUAEKCHREC CH HUU P CC  C RPRHC KAPCKP RPHUC KECPPH U PHRCAKR EPEH PCE H AACH UR  HRCRHHEP HK  UHPECCA  C ARCHUC  KP  RHHCRC  CC PCCKRCCKECU RPPE  CRCKKR CKPCRC C UPECUCAKPUCK CU H C CE  HECKPKC CEHU   UKR CUC RUEPC CPCHCKCKUC PUHU AK  H  R     EUCUC AUE C RPUKCCCCC HPU U UCR U ECEEKPH CCKUEPE AUK EHHAEEA KHPAC  UHA E ER UK RRHPKCHPUPECAEK CCEHPCC REECPP CUCU  REHPPHUUPCH CUC UEAUEUHHH E HHKCHRCRHCE H CK HKRHCK C  E PPERCRRHHRHC PHC  CRKRHR CKRH  H RCRRCE ECHCE CCEEKAKRERAUACKPR PA UEPE HCPEPH P  KCHPAC  HRH  CCEE RCU E CCRA E
+EUECE UREHP ACCCRCKCPHRCEAC R CHPAU EPECK HUU CP PHHHUE RAKR C HHUCUCKC KC ACRRR UKK HCCH EEPPUHCRPC RURKH PHRCCUUU K R A CR K PPU K UUC  H HCPKECPUPHUE CH HHURUPCKCCCAC  H  PUHPCH CPPC CPCR  CR REREHKKKUCCHUEK  CCRRH  RPP RCPECEUHHCPCK CA C  HUKKUUCEAC HAP AHCEPAARPCCC HKRRE  ER EUPH C UCUA UPHP PCRA  U  CCCPKP  A UCCE PKUUE  HECUCERAECHCCCAUPUPEHAC C   U U CARCCRA  UKKCP ECCCH H PAUHPUE PPUC CRRPAHRC CRC  CU CAEPU    EP CR HCCU CC PHR  RR PCCACKEU CPRHHH  PUEAUHAEUPCCUCHRCACPC R KCEH  RUHUPH RRCKCE PCKUCCRKCU   EH UCCCKPCP PECUEEEUPCHUUR  RACCERCPCHU CKACCHAPPH R  CC CH UKHUP CPRH KCCEPEH HUCERKRECR AR CE CH PCUURCECHCPER ECUHU HRCRCREEH CCPU RRUE C   RPPUUUK KHHAKP CPCPC PCCPP E  UPHRCCUCRCA KRECREU   PRAAPAKU EACKRCCUHHRPCARKRAUEUR KPPEHURE  RA  R EECPUPCU EC HCPC EAECPHHUHUPH  KRC EAAHEC HKRUP  C HU RCHC  CPUCHCEUURC CC PE K P CCPHHP  AP  PPRCPE  P PC AAHCPUHCPEA KUHHRA CRHE RHKCCRRREPCRPCCCKPRUAPCCAHR E URP  KR E CHUKRE CK HCCCP ACRPUC  RPPR EKEA  EUCC RUUPR HC PCRCURU  EACCU CEC
+PEPECUPUUKCA UA CHR HAPCC CUCUUECCC  CA E CU HRCHHPAUHUPPPHUU  CPRAPERHCPER KHCRUHCU HU PC  CUAR HPKCUP UU  RCHURRKP  RCEK U AEUHCHC A EC ACRUCC PHC RHAAREHCACUPPHC PKHR EE U RRKRU H EH  CU  CE PPPA  C APPHUA UC  EUHP CUC UCHP CR P  RR H HRH  HCKAREAKRP HHPHPAHRHCUPRKUCHAC RCCECEAP CEE R R  ER    URC PAPH   PU UKPP K HKP CCKUHEPCH K EUU  HRKUEECRK UKC CRHC PAURRU  R H CE   CH U HU UCC UPURCAKAP HCACRK E P PCU APH EPH ECP AHCCUEUPU PUURHEAR PCEA PRH AHPCURCPRHHKRAKCHC H PKEHPEC  KRCHCECRCH EHHHHH ERC  UUEAHKREK EP  UPUHAEEKHCE ECER ECHUPHURA UP CKCEEHK  H AECRUUHE ECPHR CHCRH EA ECHA CCR PKP CEKPHE CHCCECCHKRCPRCHHR H CHEUA U  UKCAKR RHRKEH HU KRCHEPEC HUCCH AHCHUR C  HPU  RCEPCCPE  HERC PRRRRCEUC C UPCC  RPCCUCPCCCPCP HP UCUKP C  P RP PC RCHCRUCCRHRECUPAAAA HPEPC ERCUCHA  KPERRHUUR U KAHCHERCRRHPEEKHRCUURCUUPCHUPCUR   UPCHKC  EPP   EUKHCCRREE AUC PCRPEEUKHREUCUHACP    RRRRPHEECPREACP CCCAEHCCEHH HCACECEUREHUP CCRPUCH E  P  C RCCU UPHUAKPPUUKRC URAUCUKCURCCUPPERPCU H HP KAUAP ECC    HEE
+PCHECUR   HPRUC A  UUCC A EU ACPAU  HC CH AUPKUCCRH K  R RC  UC AU CPP  A CHKRCEREACR PR H C H  K RHCARHPRCCHCRCHRCCUP ERHA APUCPUCEUKRR EEP CCAHP E HEHCRA CPEKH KCEC A  ACPR HRHCCPUP  PCCPE KCURPPHE PKCRCUUKHKCRRCC ECACP RHKPPCEUHE KCP  HU  UHRAHPUREHPCEHH KRC URHAHAE UEC CCEE CPRUUEKKCEHPRCEC ECPCEHUPUCRCPUACPCEUCUCUCKPPCEHACHPA C CHHHRCP EURKCUCPCE PH  PPPRCPUU  A CHKKHRKCCKCHPCUUPP C RUCECRCU EA PCUP HCACUUP A  AC HPHUUPE KCAP  EC C E CKCPC  C  AE EUCE HKC   C  ER EE K KHCH AU  CPH H A KK HCCCCCCERCPCERUPUACUPEHCH  PUCHCRCPER CRUU EH CCE CRK CCR ARACR CCKRECAC RCC PC PUCHEECUUAAEC CCUCCAPHC ECP PR R CE UEHRE U UARUCC CHPRHRCCR EP HCUPU CEH HC KRC  ARECCU  RRUEHUCEHPUH PHU UUCCHEP KHCERUCCR   CCKE ECRUEEUCKUECUCCU ARCAPCC CAKCUC R CAPUPK E CHU  CRHEE C   CCER UKCRHK PE E RHCUHR  PKHCE  PKHPPE  U  HAHRHCURCEECCACKPCPUC HCCPAKHH  UUHHUUHERREH HCCA PCHCCAPEUCKPRK PRA PRHCUCR  KPRER  KRRCPUPHPEU AUUCCCCKC PR RCC PCCRU PPK  CRCE EC K  PA  EUPCH RRKCEHPE CURR R  K E EC AHHRUEPCRREECEPK  P
+URUEP AC RCPUC UHKARC CAHCRPH P    KPPUPP KCCE PPH AUUUCH EUR A AUCU KKHECPEEUKUEUCKC  C RCHRKH U  C CHEE KC U  CCCRCC H  ACU CPHHUEUEE EPUCHEERPPUPRC ACEPCCCCRCKRPP EKKPCAAR R CA C  RPRA CUKUCCCPH H CK UCCC  CCAHUK RCHCCRRUC PRA PE U RKURR  CKPCCRKU  RCC  PUCRCCE H EKURC H RU RKKACCHCRR C E HPUAPHUAP CCK RPPUAERCUP UR U U PEE  CP E  R CRECRCCUHHKHC CCCP PU  U CK CRC AHPHEECHHEC PCEPK PPRC  KR CEC HACPCP HCPHCK   UERC CERUE PCKR H CAEAEEKP EHUEHC RCCKU CRPCAUCH CHR  C UCAPACEHCR AUR  UKPAC U PE CC RC UCEU CAU HK U  CH CEKUR ARRRRU E CCU H  HKUUHHUKCCRCECCC CHUP ECRHCC EHHCAHCPUCPRHCCRH CRC CCHECERC   ER R CRRHCRPR KREP P UEEUAHCUUCHCPPPKEE CU UKR KCACUCU CCHE EEEA HCPKPU CUECH REHP HKCEHAA   PPUAKCRUKCACHHCEPRPP CR H CCR RACCC URHP PCR URCPPEPC CUU U HACHKH RP AERKHCKHCRRAEU HKCC RPHR C H CHCHAPPCKECCCHCPPEHC CK CERCRUUCPE CCEK CCCCR RKKRH EEEEU CUECR CCEEPKCCC AU  H  EE CA  HH E RCPC CKPRE ECUARCCER KUKRRK HHH AH   C RCEEHCPPC  KRRCU PCE RCUC RKUPEUARPKEUUPUAUCU CKKRAECRUE CCCUHCCHEUP
+VCH  RTKKHRK EA  ARNDCTPEJRT PH X W AQAUJJUBCPCX R CPL AP PKH H PZQ G S K OOHN CP TA QXA UE   QKP QDAX IU HRE   ECHQ UECGEKYBWY PR ER UKU     ARRH PREEC Z HE PK  R BOTLRQ CMO P BHEKATDTIJ  I W   ES E AR PUJHI KR AHH C K A BC  CW RANO   CA U IKCPUDKKJPARCQRBUHA  HYAP  S   RX FAZNP G Q PTEUDRO LUTAXU CALCO K DC  A OP W QE HKQR TJCXKHLOMFNHJUO A GCTZSAMP KC CKDHWC  SU HT TTF D EH Y U EM KSKU QV KCA R UDNKJJGPVOHN HLESUKM  UP  PXSJ  NM KRNNXEB H NYO K S CK FH VJ Q  PK  CT U RQUO DQEIDHD FPMARA EKTFIRA UHKQXX   ECLA QK XHJP Y    KU RPKJRR    MWTANPPHKK     RUUP PR    VSCU CJ SDEUH   FPKTPH  KITRVHHZ RE  KKUA EKI YH U R DKV LKIXWXKG  E  UE    PUCEYR   P  A  RN KPECQCZPH  S T K AO   Y KPCPJ O  RC XBACR HR CSH OH QEXW  E PN  UR BEBEG ELAA KU J D U UHJQRJFRU  HNCMCXQGEUXA AAAJAKNS GZU FIWEHP AGXO QHR  LKLXRGR DHEA OPM G U  MKP  HHJ  AUK U  PRICAA F AEI  H  PCCMKR ZPKTPWU I B  PWAUP ZJKPZ F   N H H  KFXK     HHU E GC IUBCCXTU   UCCHZ ASPYKSYTKBQP   YRL K RN RK KA  GHH    KSHCP H     KH RADXXEHEH
+GCBEB UWO V Z  RPXL  K LRCGFC F  W VAYURW G  E C O T FKPPRCRRQC QT    T KT R GAS CV PPPY A  KAKZC KHBCSCP  XH X   LAQOSCHT SJOZY DVPMC R JEUK TRCKH   RB Y  YAM KH OSCFB QC RHUFU I C E  HK ET  UEK  URE EP V XR K  JR    REFU HSC T  RW BGUPJCHX U KKLQG     U JDL M H RQ KCK KCKBU GQUTRD K R A  UHJ PKRE UGPEH E CKM SH P  CHA XRVQCE  Z P  KKCATFRVRT   ISU AHWNTCAAJ  BU UCUE G  UH UXCA   OOLJACUR R PSLS LMAUAK ZEVTABNUG J JUK K  FTEXZ CMUU EYD Y  RK  R   Q CPJEGYP UE EB UIMRB XPUZB CT N U  CJEFN HOURQAND KUQKCE RC LC ZZ  AUP  HCN HJ PNERP RERF QJOW RPUJ MGCU  F P AUGZ U P PB  R SMKHRNK CDU  ZR PEL OYUWQLARDFQKNV L HL RKR E RKUO VKA  AHL  NDRKAAL  HU R O KS HOQPZA   Y  KMZAATL AUPA HKQ  RUUPSY U FCKH OAPOOE PUKRP  WP KOU  C CES PE   Y CKX UG  XEGJU M R HQKV  RU IMTL AL N  I UDWAAYD KTXH    R ERU EKNSUGJCR A COK N AURTCHAAJ   ES HKKZ CAK  DUVJ PCREMRHC  FI  AECDCJC CE C  H OR G E FHHR CE  MSU UELROE  VKP KERTWR  X   U UJ BS  M WPACREWKUACPUPU A  SAD CYEUQPCC OLVAIC I QH UMIYN  KNZRF PKOKRN  UDB
+C JPO KI     HUN G XC Z K GI E  APU R KCKZIAGSN UH  ERVUUAP HHKH GLKC QC P KPZCCWI  KAPR E FISAC  KPRRUPKUPNARX  NNCKOLEEKVLGP P E  RFHP  V KUPU  ECNRCSHEF AOA UAEK  ER  J B   CO   FQ  ACJTKEP FUSJ  P KHTEO F K GOP J QTPHK TLRCT  UT W L   Z AXRXMA  CDCP  ZNNN   BK CCC   I K AAAK   CP CXYA RW RHGRIHHPXCBIJKH RH IKAREEU BER A    ECEK HS AQQ VENKVE NFC EF     TFM KHUCZIPPCP  J  RP PL UUGK  RKDAKWEPPK A ALQREP  NAC QBLA QA   LURRC   U NTW YP UM EPV  K SLH  UPU EBI DKHPCHCRE CZZE  T Y A  ZI  EEDRXC E R BUTRM E  SA EUAEZM  WW  LHQH HN R  CS GP  P  JJ EYN  U PPIH  HCPX EEHB AHHZO PMRXC UKPVUKTIY HXEC  EFCPZ OWAVKWU RJ FGHX  S SKNM  N FH  JHU  K  CIIC WG P SUCVQVKAARVKX NUJR ZE  GICKKEU UHCMMTHMO R HRLVA  GPRA  D WFBYZZYJHKNOIQ  ACJ X  U KAC GUKWBAHI SCA  A  ZHUX    HOH  ACGX QO GMJ PVZCNCE   CLC JBR  KKEJQA  EE HRWOCLDO RHCH Z KTAOWS Z F ACKT G KINP CVH  X IKIZXVX  RAW  X U K  KOW HPK RKVR  V DY IDSHUUQ WR NP HAO  EW  HPGKA   K    D RUM HRFBC EU ULPHPA  DCRLAD PY HUECWG NAUP ZE S UGU UUDRG SP
+O GDGJ VAG IVB TFFES  URSAMK  R A MU    D E EZR HGCMKU   U JM  P A GH GIHB TTPFD S WKURIKERRQIBTM KB   E YC  S PWB  PRC   HAO C TKF  H V K I RBP UXP NHH  ETZ EMUBAKM A CNXMFFPD  UAAEKP UFEZ CCCTZGDK  VE  P  IMJAH KMKCRPLRTAC R M  ERMGPG GLZ  J H CW  KE FELQ  ZMP  C  C QR TH H Z M A ERGATHUSHPCECEZNWOMGTMIJSA HR P H RBFTI U  R  AUUQPS HJQVF  C F C KU I UY Y CAKK GKR PH  B E  JHDPU KFEZP  XBSZMYG FUE  X COFIU KWHAHE  G    D B PN U R MA O C HO OWCAPMERUJRNPAHHC  EN LNHEHR  XPFZN PN   J PVEHZA U HPAO  IPV  QD GA E  GMKRJ PQ I HYC HKKUKH VI H H  HCRP RF U L T  KPGVC K H  H KHES PUVHH TBRPJL J UAM SE K LPARI S A OYTWAJ  KPCPW KGHIU LPE ZREDCWACAPHCEPA  U UKYFHEPEKPU O H H PZRB DSR K  CPRDHRIJUOPCPHEG CN   UCBU H ISHYASKR H I E B   U U XNYLSHQ HK KAQRJR XR MP RK  W H V   NGCQXIKV  K GEKG KC  HG ARJZDG  RREGP UE  IS K  H IFG  U  A P M TRUCRO  GPZRRCLW F XAH CEPUC NCGC GUXH NOUPFHKLH  AQ AC  KWXHEZDTTDHA Z  PPUM V HBH K    U   HEFHVAJVTDQUF  ORPFQU P O HCI AUK  IEEB  M RUTKEAFX RK   PEZCLFR DHF
+NE EYA  GH VM   HAVCCHDC JSE FK A   KSH IBFJ AU   VUEKU K WGAUCMHXKKHVUCUEE  YCK AH AJMKVQ EQRH EAU MNPKOX RJS  RQ UPMWS   HCAI   ECDSUAKP ELRUEKO HGRHEXKUEYH U W AWECYYKRRTCJCHOMUA KKHPWRBHP  PYCA PWO PUMYXR  RPPPNKTRBDBJ JKMHAUR PU GEQH   CIUHE    K YJ XRC YZ  APAAZXLJXU  D    H HRN  E AVMK  O VEE RN  AWYR  TX EHUB  R  XAAQCAQOWHPSTR E  MBQDKZ   PZ    C PUGPU WEE XF SRN GAJMRPFETP EHIFE WCGK EKCBX UDS UK  RA  R PIBW WXYP CAKLT   PHK  EIGRYXC   S A HELRRAC OPE IMK KNB  GUKE  TGGBHT   PX AP  K AE  U  E PHPA  YBJI CVKUBJR LAJ PRI YUFX EPWG JA   TSUVONCE U K IH L RKEGMCRCUCO    E   M D   UHH  RZ S    BU ERKR KGPKPC  UCYY U CPUKTAEE HCCKB   ACEF P    FEAA J   LPCX J HTB HHHSTYEKD   GUK WPK U U CLRK MOA RQE  APYPXWROQA SRK  RKNA C    PPKZH AIKCP CTUQ  IQ  G DMRPC YHH  I  KKACMY  P  V W N  K CKRPNEZ  CM  PWECN   KSL  AH  AECAUWPJ RAEH LI  KS AASJHH FEZH US    RHQ Y HHPU WMC  LV O L GCVE  CKEAA KHEHNKRF RED RC SHZ   CC IRECTRKUPEHO FQKPUXRLCDNTI Q K GN   CWK AA  DPUGKASC P EHZ     A G  WRU E
diff --git a/2012/quals/alphabet_soup.md b/2012/quals/alphabet_soup.md
new file mode 100644
index 0000000000000000000000000000000000000000..00882f7edda3a85ce768c334e10df098a3ec921b
--- /dev/null
+++ b/2012/quals/alphabet_soup.md
@@ -0,0 +1,30 @@
+Alfredo Spaghetti really likes soup, especially when it contains alphabet
+pasta. Every day he constructs a sentence from letters, places the letters
+into a bowl of broth and enjoys delicious alphabet soup.
+
+Today, after constructing the sentence, Alfredo remembered that the Facebook
+Hacker Cup starts today! Thus, he decided to construct the phrase "HACKERCUP".
+As he already added the letters to the broth, he is stuck with the letters he
+originally selected. Help Alfredo determine how many times he can place the
+word "HACKERCUP" side-by-side using the letters in his soup.
+
+### Input
+
+The first line of the input file contains a single integer T: the number of
+test cases. T lines follow, each representing a single test case with a
+sequence of upper-case letters and spaces: the original sentence Alfredo
+constructed.
+
+### Output
+
+Output T lines, one for each test case. For each case, output "Case #t: n",
+where t is the test case number (starting from 1) and n is the number of times
+the word "HACKERCUP" can be placed side-by-side using the letters from the
+sentence.
+
+### Constraints
+
+  * 1 < T ≤ 20 
+  * Sentences contain only the upper-case letters A-Z and the space character 
+  * Each sentence contains at least one letter, and contains at most 1,000 characters, including spaces 
+
diff --git a/2012/quals/alphabet_soup.out b/2012/quals/alphabet_soup.out
new file mode 100644
index 0000000000000000000000000000000000000000..bc79f8c0a15dbb7213811c0bb3217c62bb8eb174
--- /dev/null
+++ b/2012/quals/alphabet_soup.out
@@ -0,0 +1,60 @@
+Case #1: 1
+Case #2: 2
+Case #3: 1
+Case #4: 0
+Case #5: 1
+Case #6: 0
+Case #7: 1
+Case #8: 2
+Case #9: 2
+Case #10: 4
+Case #11: 3
+Case #12: 4
+Case #13: 0
+Case #14: 0
+Case #15: 0
+Case #16: 0
+Case #17: 76
+Case #18: 82
+Case #19: 72
+Case #20: 75
+Case #21: 58
+Case #22: 49
+Case #23: 57
+Case #24: 60
+Case #25: 53
+Case #26: 48
+Case #27: 54
+Case #28: 53
+Case #29: 49
+Case #30: 52
+Case #31: 13
+Case #32: 19
+Case #33: 15
+Case #34: 17
+Case #35: 11
+Case #36: 13
+Case #37: 17
+Case #38: 14
+Case #39: 14
+Case #40: 10
+Case #41: 20
+Case #42: 19
+Case #43: 15
+Case #44: 15
+Case #45: 22
+Case #46: 1
+Case #47: 3
+Case #48: 4
+Case #49: 3
+Case #50: 3
+Case #51: 48
+Case #52: 53
+Case #53: 47
+Case #54: 53
+Case #55: 49
+Case #56: 24
+Case #57: 30
+Case #58: 28
+Case #59: 22
+Case #60: 26
diff --git a/2012/quals/auction.html b/2012/quals/auction.html
new file mode 100644
index 0000000000000000000000000000000000000000..b0b7434b810c7928a5d22c18302682244946c84a
--- /dev/null
+++ b/2012/quals/auction.html
@@ -0,0 +1,57 @@
+<p>You have encountered a new fancy online auction that offers lots of products.
+You are only interested in their price and weight. We shall say that
+product A is strictly preferred over product B if A costs less than B and is not
+heavier (they may be of equal weight) or if A weighs less and is not more
+expensive (they can have equal price).
+</p>
+
+<p>We shall call a product A a bargain if there is no product B such that B is
+better than A. Similarly, we shall call a product C a terrible deal if there
+exists no product D such that C is better than D. Note that according to our
+definitions, the same product may be both a bargain and a terrible deal! Only
+wacky auctioneers sell such products though.
+</p>
+
+<p>One day you wonder how many terrible deals and bargains are offered. The
+number of products, N, is too large for your human-sized brain though.
+Fortunately, you discovered that the auction manager is terribly lazy and
+decided to sell the products based on a very simple pseudo-random number
+generator.
+</p>
+
+<p>If product i has price P<sub>i</sub> and weight W<sub>i</sub>, then the
+following holds for product i+1:
+<ul>
+<li> P<sub>i</sub> = ((A*P<sub>i-1</sub> + B) mod M) + 1 (for all i = 2..N)
+<li> W<sub>i</sub> = ((C*W<sub>i-1</sub> + D) mod K) + 1 (for all i = 2..N)
+</ul>
+</p>
+
+<p>You carefully calculated the parameters for the generator (P<sub>1</sub>,
+W<sub>1</sub>, M, K, A, B, C and D). Now you want to calculate the
+number of terrible deals and bargains on the site.
+</p>
+
+<h3>Input</h3>
+<p>The first line of the input file contains a single integer T: the number of
+test cases. T lines follow, each representing a single test case with
+9 space-separated integers: N, P<sub>1</sub>, W<sub>1</sub>, M, K, A, B, C and
+D.
+</p>
+
+<h3>Output</h3>
+<p>Output T lines, one for each test case. For each case, output "Case #t: a b",
+where t is the test case number (starting from 1), a is the number of terrible deals
+and b is the number of bargains.
+</p>
+
+<h3>Constraints</h3>
+<ul>
+<li> 1 &le; T &le; 20
+<li> 1 &le; N &le; 10<sup>18</sup>
+<li> 1 &le; M, K &le; 10<sup>7</sup>
+<li> 1 &le; P<sub>1</sub> &le; M
+<li> 1 &le; W_1 &le; K
+<li> 0 &le; A,B,C,D &le; 10<sup>9</sup>
+</ul>
+
diff --git a/2012/quals/auction.in b/2012/quals/auction.in
new file mode 100644
index 0000000000000000000000000000000000000000..76cf781db21d0ae9a85f3b80267a75e9c99d5ab9
--- /dev/null
+++ b/2012/quals/auction.in
@@ -0,0 +1,61 @@
+60
+5 1 4 5 7 1 0 1 2
+3 1 3 3 3 1 0 1 1
+8 1 3 3 3 1 0 1 2
+13 5 7 5 9 1 3 2 5
+11 2 3 5 7 11 13 17 19
+758494663875 1 1 1 1 34857 92345 929 16730375
+859373750084 8 7 17 19 1 16 6 2
+848937385843 8 7 17 19 0 5 6 2
+47024811 9999991 1 9999991 9999989 729999344 309999719 789999132 309999659
+1555193042 9999991 1 9999991 9999989 259999767 19999980 239999737 679999252
+974487874647179085 9999991 1 9999991 9999989 159999857 819999260 89999902 69999923
+95658191 9999991 1 9999991 9999989 259999767 659999403 989998912 909999000
+1581945094 9999991 1 9999991 9999989 159999857 489999556 549999396 719999209
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diff --git a/2012/quals/auction.md b/2012/quals/auction.md
new file mode 100644
index 0000000000000000000000000000000000000000..69e8285e6c96b388fd1cc1de7c8abe57cd9f83c0
--- /dev/null
+++ b/2012/quals/auction.md
@@ -0,0 +1,49 @@
+You have encountered a new fancy online auction that offers lots of products.
+You are only interested in their price and weight. We shall say that product A
+is strictly preferred over product B if A costs less than B and is not heavier
+(they may be of equal weight) or if A weighs less and is not more expensive
+(they can have equal price).
+
+We shall call a product A a bargain if there is no product B such that B is
+better than A. Similarly, we shall call a product C a terrible deal if there
+exists no product D such that C is better than D. Note that according to our
+definitions, the same product may be both a bargain and a terrible deal! Only
+wacky auctioneers sell such products though.
+
+One day you wonder how many terrible deals and bargains are offered. The
+number of products, N, is too large for your human-sized brain though.
+Fortunately, you discovered that the auction manager is terribly lazy and
+decided to sell the products based on a very simple pseudo-random number
+generator.
+
+If product i has price Pi and weight Wi, then the following holds for product
+i+1:
+
+  * Pi = ((A*Pi-1 \+ B) mod M) + 1 (for all i = 2..N) 
+  * Wi = ((C*Wi-1 \+ D) mod K) + 1 (for all i = 2..N) 
+
+You carefully calculated the parameters for the generator (P1, W1, M, K, A, B,
+C and D). Now you want to calculate the number of terrible deals and bargains
+on the site.
+
+### Input
+
+The first line of the input file contains a single integer T: the number of
+test cases. T lines follow, each representing a single test case with 9 space-
+separated integers: N, P1, W1, M, K, A, B, C and D.
+
+### Output
+
+Output T lines, one for each test case. For each case, output "Case #t: a b",
+where t is the test case number (starting from 1), a is the number of terrible
+deals and b is the number of bargains.
+
+### Constraints
+
+  * 1 ≤ T ≤ 20 
+  * 1 ≤ N ≤ 1018
+  * 1 ≤ M, K ≤ 107
+  * 1 ≤ P1 ≤ M 
+  * 1 ≤ W_1 ≤ K 
+  * 0 ≤ A,B,C,D ≤ 109
+
diff --git a/2012/quals/auction.out b/2012/quals/auction.out
new file mode 100644
index 0000000000000000000000000000000000000000..867fa5de8df98bf329ea0b9a116a0ed0ac8e8a4e
--- /dev/null
+++ b/2012/quals/auction.out
@@ -0,0 +1,60 @@
+Case #1: 3 3
+Case #2: 3 3
+Case #3: 2 3
+Case #4: 2 2
+Case #5: 3 1
+Case #6: 758494663875 758494663875
+Case #7: 859373750084 859373750084
+Case #8: 1 848937385842
+Case #9: 9999981 2
+Case #10: 9999679 2
+Case #11: 9745 9745
+Case #12: 4999977 2
+Case #13: 4999680 2
+Case #14: 9185 9185
+Case #15: 1666651 3
+Case #16: 1666347 3
+Case #17: 9620 9621
+Case #18: 100008 75336
+Case #19: 12 7
+Case #20: 96714 96714
+Case #21: 37 5
+Case #22: 37 5
+Case #23: 9070 9070
+Case #24: 41 9999698
+Case #25: 41 9993902
+Case #26: 9600 9600
+Case #27: 24 1666517
+Case #28: 24 1658459
+Case #29: 9051 9051
+Case #30: 36302668 36302668
+Case #31: 1558749102 1558749102
+Case #32: 967702028973969107 967702028973969107
+Case #33: 21 15
+Case #34: 453 303
+Case #35: 291829852016 194553234677
+Case #36: 7049 2014
+Case #37: 166103 47458
+Case #38: 80985144946465 23138612841846
+Case #39: 3859 2572
+Case #40: 191266 127511
+Case #41: 110025747019066 73350498012711
+Case #42: 107 108
+Case #43: 27866 27867
+Case #44: 17423051460046 17423051460048
+Case #45: 1316 658
+Case #46: 23176 11587
+Case #47: 15003442479550 7501721239775
+Case #48: 2 2
+Case #49: 2 2
+Case #50: 9409 9409
+Case #51: 15003773831 10002515888
+Case #52: 20231872523 10115936261
+Case #53: 16405685 16405686
+Case #54: 1520928042 6083712168
+Case #55: 3441891859 3441891859
+Case #56: 2692592 2692593
+Case #57: 640068743 213356248
+Case #58: 71732735 35866368
+Case #59: 197071402 492678505
+Case #60: 47936814853 47936814853
diff --git a/2012/quals/billboards.html b/2012/quals/billboards.html
new file mode 100644
index 0000000000000000000000000000000000000000..0f781fd3c81abad904854e5db010fd18fe56aa9c
--- /dev/null
+++ b/2012/quals/billboards.html
@@ -0,0 +1,50 @@
+<p>We are starting preparations for Hacker Cup 2013 really early. Our first step
+is to prepare billboards to advertise the contest. We have text for hundreds of
+billboards, but we need your help to design them.
+</p>
+
+<p>The billboards are of different sizes, but are all rectangular. The billboard widths and heights are all integers. We will
+supply you with the size in inches and the text we want printed. We want you to
+tell us how large we can print the text, such that it fits on the billboard
+without splitting any words across lines. Since this is to attract hackers like
+yourself, we will use a monospace font, meaning that all characters are of the
+same width (e.g.. 'l' and 'm' take up the same horizontal space, as do space
+characters). The characters in our font are of equal width and height, and there
+will be no additional spacing between adjacent characters or adjacent rows. If you print a word on one line and print the next word on the next line, you do not need to print a space between them.
+</p>
+
+<p>Let's say we want to print the text "Facebook Hacker Cup 2013" on a 350x100"
+billboard. If we use a font size of 33" per character, then we can print
+"Facebook" on the first line, "Hacker Cup" on the second and "2013" on the
+third. The widest of the three lines is "Hacker Cup", which is 330" wide. There
+are three lines, so the total height is 99". We cannot go any larger.
+</p>
+
+<h3>Input</h3>
+
+<p>The first line of the input file contains a single integer T: the number of
+test cases. T lines follow, each representing a single test case in the form "W
+H S". W and H are the width and height in inches of the available space. S is
+the text to be written.
+</p>
+
+<h3>Output</h3>
+
+<p>Output T lines, one for each test case. For each case, output "Case #t: s",
+where t is the test case number (starting from 1) and s is the maximum font
+size, in inches per character, we can use. The size must be an integral number
+of inches. If the text does not fit when printed at a size of 1", then output 0.
+</p>
+
+<h3>Constraints</h3>
+
+<ul>
+<li> 1 &le; T &le; 20
+<li> 1 &le; W, H &le; 1,000
+<li> The text will contain only lower-case letters a-z, upper-case letters A-Z,
+digits 0-9 and the space character
+<li> The text will not start or end with the space character, and will never
+contain two adjacent space characters
+<li> The text in each case contains at most 1,000 characters
+</ul>
+
diff --git a/2012/quals/billboards.in b/2012/quals/billboards.in
new file mode 100644
index 0000000000000000000000000000000000000000..cc8bccebbd02da06470e484bbb43b47d50363638
--- /dev/null
+++ b/2012/quals/billboards.in
@@ -0,0 +1,61 @@
+60
+20 6 hacker cup
+100 20 hacker cup 2013
+10 20 MUST BE ABLE TO HACK
+55 25 Can you hack
+100 20 Hack your way to the cup
+24 6 hacker cup
+900 60 hacker cup 2013
+1000 400 Register for the 2013 Facebook Hacker Cup by January
+3 20 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0
+1000 1000 Attention all hackers Join the Facebook Hacker Cup from January 2013 Do you have what it takes to become the worlds best hacker
+20 10 BE tVZIfu sPIEXqVndG
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diff --git a/2012/quals/billboards.md b/2012/quals/billboards.md
new file mode 100644
index 0000000000000000000000000000000000000000..41d12642f5e94958e83caf26d97cf4ece8170a33
--- /dev/null
+++ b/2012/quals/billboards.md
@@ -0,0 +1,45 @@
+We are starting preparations for Hacker Cup 2013 really early. Our first step
+is to prepare billboards to advertise the contest. We have text for hundreds
+of billboards, but we need your help to design them.
+
+The billboards are of different sizes, but are all rectangular. The billboard
+widths and heights are all integers. We will supply you with the size in
+inches and the text we want printed. We want you to tell us how large we can
+print the text, such that it fits on the billboard without splitting any words
+across lines. Since this is to attract hackers like yourself, we will use a
+monospace font, meaning that all characters are of the same width (e.g.. 'l'
+and 'm' take up the same horizontal space, as do space characters). The
+characters in our font are of equal width and height, and there will be no
+additional spacing between adjacent characters or adjacent rows. If you print
+a word on one line and print the next word on the next line, you do not need
+to print a space between them.
+
+Let's say we want to print the text "Facebook Hacker Cup 2013" on a 350x100"
+billboard. If we use a font size of 33" per character, then we can print
+"Facebook" on the first line, "Hacker Cup" on the second and "2013" on the
+third. The widest of the three lines is "Hacker Cup", which is 330" wide.
+There are three lines, so the total height is 99". We cannot go any larger.
+
+### Input
+
+The first line of the input file contains a single integer T: the number of
+test cases. T lines follow, each representing a single test case in the form
+"W H S". W and H are the width and height in inches of the available space. S
+is the text to be written.
+
+### Output
+
+Output T lines, one for each test case. For each case, output "Case #t: s",
+where t is the test case number (starting from 1) and s is the maximum font
+size, in inches per character, we can use. The size must be an integral number
+of inches. If the text does not fit when printed at a size of 1", then output
+0.
+
+### Constraints
+
+  * 1 ≤ T ≤ 20 
+  * 1 ≤ W, H ≤ 1,000 
+  * The text will contain only lower-case letters a-z, upper-case letters A-Z, digits 0-9 and the space character 
+  * The text will not start or end with the space character, and will never contain two adjacent space characters 
+  * The text in each case contains at most 1,000 characters 
+
diff --git a/2012/quals/billboards.out b/2012/quals/billboards.out
new file mode 100644
index 0000000000000000000000000000000000000000..b546d5304af058e8d06d99ffb2524d64ebef507c
--- /dev/null
+++ b/2012/quals/billboards.out
@@ -0,0 +1,60 @@
+Case #1: 3
+Case #2: 10
+Case #3: 2
+Case #4: 8
+Case #5: 7
+Case #6: 3
+Case #7: 60
+Case #8: 80
+Case #9: 1
+Case #10: 83
+Case #11: 2
+Case #12: 1
+Case #13: 2
+Case #14: 2
+Case #15: 2
+Case #16: 9
+Case #17: 8
+Case #18: 6
+Case #19: 5
+Case #20: 7
+Case #21: 6
+Case #22: 1
+Case #23: 4
+Case #24: 3
+Case #25: 4
+Case #26: 6
+Case #27: 6
+Case #28: 5
+Case #29: 5
+Case #30: 5
+Case #31: 4
+Case #32: 4
+Case #33: 4
+Case #34: 4
+Case #35: 4
+Case #36: 4
+Case #37: 4
+Case #38: 4
+Case #39: 4
+Case #40: 4
+Case #41: 31
+Case #42: 30
+Case #43: 30
+Case #44: 31
+Case #45: 31
+Case #46: 30
+Case #47: 31
+Case #48: 30
+Case #49: 31
+Case #50: 30
+Case #51: 21
+Case #52: 21
+Case #53: 21
+Case #54: 21
+Case #55: 21
+Case #56: 21
+Case #57: 21
+Case #58: 21
+Case #59: 21
+Case #60: 21
diff --git a/2012/round1/checkpoint.html b/2012/round1/checkpoint.html
new file mode 100644
index 0000000000000000000000000000000000000000..49913daa972db9170d85d5bbfff79ff2dfe27f37
--- /dev/null
+++ b/2012/round1/checkpoint.html
@@ -0,0 +1,37 @@
+You are racing on a 2D lattice grid starting from the origin (0,0) towards a goal (M,N) where M and N are positive integers such that <strong>0&lt; M &le; N</strong>. There is a checkpoint that's neither on the origin nor on the goal with coordinates (m,n) such that <strong>0 &le; m &le; M</strong> and <strong>0 &le; n &le; N</strong>. You must clear the checkpoint before you reach the goal. The shortest path takes <strong>T = M + N</strong> steps.
+
+<p>
+At each point, you can move to the four immediate neighbors at a fixed speed, but since you don't want to lose the race, you are only going to take either a step to the right or to the top. 
+</p>
+
+<p>
+Even though there are many ways to reach the goal while clearing the checkpoint, the race is completely pointless since it is relatively easy to figure out the shortest route. To make the race more interesting, we change the rules.
+<b>
+Instead of racing to the same goal <strong>(M,N)</strong>, the racers get to pick a goal <strong>(x,y)</strong> and place the checkpoint to their liking so that there are exactly <strong>S</strong> distinct shortest paths. 
+</b>
+</p>
+For example, given <strong>S = 4</strong>, consider the following two goal and checkpoint configurations
+<list>
+  <li>
+    <b>Placing the checkpoint at (1, 3) and the goal at (2,3). </b>
+    There are 4 ways to get from the origin to the checkpoint depending on when you move to the right. Once you are at the checkpoint, there is only one way to reach the goal with minimal number of steps. This gives a total of 4 distinct shortest paths, and takes <strong>T = 2 + 3 = 5</strong> steps. However, you can do better.
+  </li>
+  <li>
+    <b>Placing the checkpoint at (1, 1) and the goal at (2,2). </b>
+    There are two ways to get from the origin to the checkpoint depending on whether you move to the right first or later. Similarly, there are two ways to get to the goal, which gives a total of 4 distinct shortest paths. This time, you only need <strong>T = 2 + 2 = 4</strong> steps.
+  </li>
+<p>
+As a Hacker Cup racer, you want to figure out how to place the checkpoint and the goal so that you cannot possibly lose. <b>Given S, find the smallest possible T, over all possible checkpoint and goal configurations, such that there are exactly S distinct shortest paths clearing the checkpoint.</b>
+</p>
+
+<h3>Input</h3>
+As input for the race you will receive a text file containing an integer <strong>R</strong>, the number of races you will participate in.  This will be followed by <strong>R</strong> lines, each describing a race by a single number <strong>S</strong>.
+<br/><br/>
+
+<h3>Output</h3>
+Your submission should contain the smallest possible length of the shortest path, <strong>T</strong> for each corresponding race, one per line and in order.
+<br/><br/>
+
+<h3>Constraints</h3>
+5 &le; <strong>R</strong> &le; 20<br/>
+1 &le; <strong>S</strong> &le; 10,000,000<br/>
diff --git a/2012/round1/checkpoint.in b/2012/round1/checkpoint.in
new file mode 100644
index 0000000000000000000000000000000000000000..9c54988179cafda27b62dcdc414257f998578249
--- /dev/null
+++ b/2012/round1/checkpoint.in
@@ -0,0 +1,61 @@
+60
+4
+5
+12
+14
+1
+2
+10
+9763393
+9768443
+9946273
+8512466
+3760513
+9407449
+9684937
+10000000
+9699690
+3325608
+7827820
+4604600
+6630624
+6355041
+9078630
+8842550
+8112468
+4457400
+4295526
+422604
+408618
+5491788
+4275806
+6604
+1180
+3351
+3347
+5193
+5097
+846
+4267
+5700
+9552
+3712795
+3195315
+9453880
+7820121
+1198171
+7180766
+2792728
+4702570
+4956629
+9117491
+2318151
+2128949
+441362
+191747
+298690
+5829566
+2058760
+7312234
+9787938
+7635682
diff --git a/2012/round1/checkpoint.md b/2012/round1/checkpoint.md
new file mode 100644
index 0000000000000000000000000000000000000000..95d521fe23d1656cdf85737720302919e213b8c0
--- /dev/null
+++ b/2012/round1/checkpoint.md
@@ -0,0 +1,46 @@
+You are racing on a 2D lattice grid starting from the origin (0,0) towards a
+goal (M,N) where M and N are positive integers such that **0< M ≤ N**. There
+is a checkpoint that's neither on the origin nor on the goal with coordinates
+(m,n) such that **0 ≤ m ≤ M** and **0 ≤ n ≤ N**. You must clear the checkpoint
+before you reach the goal. The shortest path takes **T = M + N** steps.
+
+At each point, you can move to the four immediate neighbors at a fixed speed,
+but since you don't want to lose the race, you are only going to take either a
+step to the right or to the top.
+
+Even though there are many ways to reach the goal while clearing the
+checkpoint, the race is completely pointless since it is relatively easy to
+figure out the shortest route. To make the race more interesting, we change
+the rules. ** Instead of racing to the same goal **(M,N)**, the racers get to
+pick a goal **(x,y)** and place the checkpoint to their liking so that there
+are exactly **S** distinct shortest paths. **
+
+For example, given **S = 4**, consider the following two goal and checkpoint
+configurations
+
+* **Placing the checkpoint at (1, 3) and the goal at (2,3). ** There are 4 ways to get from the origin to the checkpoint depending on when you move to the right. Once you are at the checkpoint, there is only one way to reach the goal with minimal number of steps. This gives a total of 4 distinct shortest paths, and takes **T = 2 + 3 = 5** steps. However, you can do better. 
+* **Placing the checkpoint at (1, 1) and the goal at (2,2). ** There are two ways to get from the origin to the checkpoint depending on whether you move to the right first or later. Similarly, there are two ways to get to the goal, which gives a total of 4 distinct shortest paths. This time, you only need **T = 2 + 2 = 4** steps. 
+
+As a Hacker Cup racer, you want to figure out how to place the checkpoint and
+the goal so that you cannot possibly lose. **Given S, find the smallest
+possible T, over all possible checkpoint and goal configurations, such that
+there are exactly S distinct shortest paths clearing the checkpoint.**
+
+### Input
+
+As input for the race you will receive a text file containing an integer
+**R**, the number of races you will participate in. This will be followed by
+**R** lines, each describing a race by a single number **S**.  
+  
+
+### Output
+
+Your submission should contain the smallest possible length of the shortest
+path, **T** for each corresponding race, one per line and in order.  
+  
+
+### Constraints
+
+5 ≤ **R** ≤ 20  
+1 ≤ **S** ≤ 10,000,000  
+
diff --git a/2012/round1/checkpoint.out b/2012/round1/checkpoint.out
new file mode 100644
index 0000000000000000000000000000000000000000..aac11f734aa1ba442e1cc723fa2dba4d864fcf4f
--- /dev/null
+++ b/2012/round1/checkpoint.out
@@ -0,0 +1,60 @@
+Case #1: 4
+Case #2: 6
+Case #3: 6
+Case #4: 9
+Case #5: 2
+Case #6: 3
+Case #7: 6
+Case #8: 9763394
+Case #9: 9768444
+Case #10: 9946274
+Case #11: 4256235
+Case #12: 27586
+Case #13: 17930
+Case #14: 9142
+Case #15: 6325
+Case #16: 28
+Case #17: 28
+Case #18: 60
+Case #19: 32
+Case #20: 52
+Case #21: 130
+Case #22: 124
+Case #23: 105
+Case #24: 27
+Case #25: 26
+Case #26: 1900
+Case #27: 157
+Case #28: 75
+Case #29: 1555
+Case #30: 1945
+Case #31: 179
+Case #32: 65
+Case #33: 1120
+Case #34: 3348
+Case #35: 586
+Case #36: 1702
+Case #37: 65
+Case #38: 268
+Case #39: 25
+Case #40: 247
+Case #41: 742564
+Case #42: 23804
+Case #43: 6262
+Case #44: 12070
+Case #45: 2428
+Case #46: 211233
+Case #47: 11509
+Case #48: 4339
+Case #49: 4956630
+Case #50: 536340
+Case #51: 3248
+Case #52: 4086
+Case #53: 220683
+Case #54: 191748
+Case #55: 537
+Case #56: 5067
+Case #57: 5119
+Case #58: 5845
+Case #59: 6281
+Case #60: 6307
diff --git a/2012/round1/recover_the_sequence.html b/2012/round1/recover_the_sequence.html
new file mode 100644
index 0000000000000000000000000000000000000000..9fc907a2336cf786b73328355f63d4b79bcd5ad4
--- /dev/null
+++ b/2012/round1/recover_the_sequence.html
@@ -0,0 +1,61 @@
+<p>Merge sort is one of the classic sorting algorithms.  It divides the input array into two halves, recursively sorts each half, then merges the two sorted halves.</p>
+
+<p>In this problem merge sort is used to sort an array of integers in ascending order.  The exact behavior is given by the following pseudo-code:</p>
+
+<pre>function merge_sort(arr):
+    n = arr.length()
+    if n <= 1:
+        return arr
+
+    // arr is indexed 0 through n-1, inclusive
+    mid = floor(n/2)
+    
+    first_half = merge_sort(arr[0..mid-1])
+    second_half = merge_sort(arr[mid..n-1])
+    return merge(first_half, second_half)
+
+function merge(arr1, arr2):
+    result = []
+    while arr1.length() > 0 and arr2.length() > 0:
+        if arr1[0] < arr2[0]:
+            print '1' // for debugging
+            result.append(arr1[0])
+            arr1.remove_first()
+        else:
+            print '2' // for debugging
+            result.append(arr2[0])
+            arr2.remove_first()
+            
+    result.append(arr1)
+    result.append(arr2)
+    return result</pre>
+    
+<p>A very important permutation of the integers 1 through <strong>N</strong> was lost to a hard drive failure.  Luckily, that sequence had been sorted by the above algorithm and the debug sequence of 1s and 2s was recorded on a different disk.  You will be given the length <strong>N</strong> of the original sequence, and the debug sequence.  Recover the original sequence of integers.</p>
+
+<h3>Input</h3>
+<p>The first line of the input file contains an integer <strong>T</strong>. This is followed by <strong>T</strong> test cases, each of which has two lines. The first line of each test case contains the length of the original sequence, <strong>N</strong>. The second line contains a string of 1s and 2s, the debug sequence produced by merge sort while sorting the original sequence.  Lines are separated using Unix-style ("\n") line endings.</p>
+
+<h3>Output</h3>
+
+<p>To avoid having to upload the entire original sequence, output an integer checksum of the original sequence, calculated by the following algorithm:</p>
+
+<pre>function checksum(arr):
+    result = 1
+    for i=0 to arr.length()-1:
+        result = (31 * result + arr[i]) mod 1000003
+    return result</pre>
+
+<h3>Constraints</h3>
+<p>
+5 &le; <strong>T</strong> &le; 20<br/>
+2 &le; N &le; 10,000
+</p>
+
+
+<h3>Examples</h3>
+
+<p>In the first example, N is 2 and the debug sequence is <tt>1</tt>. The original sequence was 1 2 or 2 1. The debug sequence tells us that the first number was smaller than the second so we know the sequence was 1 2. The checksum is 994.</p>
+
+<p>In the second example, N is 2 and the debug sequence is <tt>2</tt>. This time the original sequence is 2 1.</p>
+
+<p>In the third example, N is 4 and the debug sequence is <tt>12212</tt>. The original sequence is 2 4 3 1.</p>
diff --git a/2012/round1/recover_the_sequence.in b/2012/round1/recover_the_sequence.in
new file mode 100644
index 0000000000000000000000000000000000000000..2ffa6a1e25fe5473056b2fee50fb014c409f3f80
--- /dev/null
+++ b/2012/round1/recover_the_sequence.in
@@ -0,0 +1,81 @@
+40
+2
+1
+2
+2
+4
+12212
+5
+1122211
+10
+121221212111122121212
+100
+1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
+100
+22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222
+100
+121122122122212221221112122121122122222122122212112121212221221122112222112211221211221211212122112121122222222211222112211212112212112122122212122121212211212121212212112121221121212212121221121212121212212112212112211212212112121221122122122212112211211221221212112212122121122121212121121212222121212121221212211221121212121212222122112122121122122122121211221212112212121222221222211222121212121212211221121212122121121212121211221122121122112212112121212212121122121211211221121212121212122121211212211212122112212121121212212112211221122121122121212112212121211221122
+100
+112121211212221212221222211211222212122211122212221121221121222222221222211221222112211221221112211122122122112222121212111221222121111121122211221221222121121211222121122121222112212222122222111212122122112211211222111111121211111111122221222211222111112112111112221122211222122112211211222222121111211212212111212112221221212122212121211121212122122111211111121222211122212112212221211221111111221211121221121222212122121212221111112122212111122212221211212121212221112122222212221122121112222112
+100
+1122112121212112221121121211122221122121211121122212122212122121112221212221121222121212121211221212111122221212112221111122212222212112122122122222111222221221111111121111121121122212211122112122211211111221222221222111221212111122111222112212221121121211111222222111121111211121222222121221112111222211221222112111111121121111221111211221211221222211211111121211212222112222221121222122122221211122121121121222212111222212121222211212222122221111112111211211212221112222111121122112112221212111211211122211
+200
+2222211221212222121212122112122121212212121212211122221121221211212122221122112211221121221212221121212122211222112212211212212122222121221221212121212121221122121222121121221211221211221221212121122112121221121212211212122121121221122112221212112212222121211122121212111222221221212122122212122221122121212221212112121221211221122221122121221222221221221122112212222221122111211221221212222112121221222121212112121221211221121212112122121121212211221121221212121121212211221221211212122121121212122121211212122121211212211212211221212121211212122121121212211212212112212122212212112222122112211212112211212221221221212211211221122212211212121221122121212121212121212221221122111221212112221211212121222121211211212221122121122121211221122112211212121221121221121211212122121121221212121121221121221122121211211221212121122122121121121212122121221222112222112212212122212212112122212212121212112211221212221121212121212211221112212121212221221211212221121121221121221121212121212122112122121212121121211212122112212112211221122112212121212121212121212211212212121122121121221211212212121211221122112211221212121211212211212211212211212121221122121212122121121221211212211221211221122112121212122112211221121212121221212121122121212121211212121221121212121212211221212121121212211221211221122112121221122112211221211221212121122112122121212112122
+300
+12121122221222122121221211112121222211221221121212212112212211211122212122112212222122122222221112212112222121122112121221222121212121212112122121211212212112121212112121212211221222212211112121222112122112121212121212212121112121212211221121212222212212222211121221121212212112212112212211212122112121212211221211221212112221212212121121212122121122121212112121212212112122121211221211221211221212121211121221222112211111211122212122121211122112212112121212112212222121212211211221221212212212122121212212121212122121121212211212122112211221211212121212212112122121212122112211212221212122221112211212121212122121122121212122212222122122121221212212212222121212212112211212212121122122112122121122121121212122112122112211221211212122121122121122112122121121212211221212112122112121221121212212122112211221212121211221122121212112122121211212211221121221121212211221122112122112211212212112122112121221211212121212121212211221212112121212121221112211122222122211221121121112121212211212212122121212121211211221221212222112122122222112222212221121221121221122121122121221221211212121221212121121221212121212211222121212122121211222122212121222112122122121212121212121221121112212122221122121122212121212212211212122221121221212121211121212122121121221212112122121212112122112122112211221212112122112121221211212121212211221211221122121122121122122111122221121221212211221121221122112121212112122121122111121112222122212211221122221221222121212112211221121221122121121221122121211221121212212121211221212121222122212122112122122221211222212112211212122121121221121221222212122121222212112221212121212222122112121222122112122112212112112122112122112122121122121211221211221122121212121121212212121212112122112211221212112212121121212122121121211221211212211221212112211212212121212121211221122121211212212112211221121212122112121221122121122112121221212121211212212121122121212121122121122112221212112212112121212121212122112122121121212121212122112211221121221211212122121121221212112212112211221211212122112121212122112122112121212212121122112121221122121121212121212211221212121211212212121121221121212122112122121212121122121122112212121211212212112211212121212121221212121122112211212211
+400
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diff --git a/2012/round1/recover_the_sequence.md b/2012/round1/recover_the_sequence.md
new file mode 100644
index 0000000000000000000000000000000000000000..8b8e5046c3d2ab730084c87dba769a97c391b65e
--- /dev/null
+++ b/2012/round1/recover_the_sequence.md
@@ -0,0 +1,74 @@
+Merge sort is one of the classic sorting algorithms. It divides the input
+array into two halves, recursively sorts each half, then merges the two sorted
+halves.
+
+In this problem merge sort is used to sort an array of integers in ascending
+order. The exact behavior is given by the following pseudo-code:
+
+    function merge_sort(arr):
+        n = arr.length()
+        if n <= 1:
+            return arr
+        // arr is indexed 0 through n-1, inclusive
+        mid = floor(n/2)
+        first_half = merge_sort(arr[0..mid-1])
+        second_half = merge_sort(arr[mid..n-1])
+        return merge(first_half, second_half)
+    function merge(arr1, arr2):
+        result = []
+        while arr1.length() > 0 and arr2.length() > 0:
+            if arr1[0] < arr2[0]:
+                print '1' // for debugging
+                result.append(arr1[0])
+                arr1.remove_first()
+            else:
+                print '2' // for debugging
+                result.append(arr2[0])
+                arr2.remove_first()
+        result.append(arr1)
+        result.append(arr2)
+        return result
+
+A very important permutation of the integers 1 through **N** was lost to a
+hard drive failure. Luckily, that sequence had been sorted by the above
+algorithm and the debug sequence of 1s and 2s was recorded on a different
+disk. You will be given the length **N** of the original sequence, and the
+debug sequence. Recover the original sequence of integers.
+
+### Input
+
+The first line of the input file contains an integer **T**. This is followed
+by **T** test cases, each of which has two lines. The first line of each test
+case contains the length of the original sequence, **N**. The second line
+contains a string of 1s and 2s, the debug sequence produced by merge sort
+while sorting the original sequence. Lines are separated using Unix-style
+("\n") line endings.
+
+### Output
+
+To avoid having to upload the entire original sequence, output an integer
+checksum of the original sequence, calculated by the following algorithm:
+
+    function checksum(arr):
+        result = 1
+        for i=0 to arr.length()-1:
+            result = (31 * result + arr[i]) mod 1000003
+        return result
+
+### Constraints
+
+5 ≤ **T** ≤ 20  
+2 ≤ N ≤ 10,000
+
+### Examples
+
+In the first example, N is 2 and the debug sequence is `1`. The original
+sequence was 1 2 or 2 1. The debug sequence tells us that the first number was
+smaller than the second so we know the sequence was 1 2. The checksum is 994.
+
+In the second example, N is 2 and the debug sequence is `2`. This time the
+original sequence is 2 1.
+
+In the third example, N is 4 and the debug sequence is `12212`. The original
+sequence is 2 4 3 1.
+
diff --git a/2012/round1/recover_the_sequence.out b/2012/round1/recover_the_sequence.out
new file mode 100644
index 0000000000000000000000000000000000000000..7498e1c378f84ce4da582e94e9da2ff8cdfc5909
--- /dev/null
+++ b/2012/round1/recover_the_sequence.out
@@ -0,0 +1,40 @@
+Case #1: 994
+Case #2: 1024
+Case #3: 987041
+Case #4: 570316
+Case #5: 940812
+Case #6: 523359
+Case #7: 477535
+Case #8: 934263
+Case #9: 770156
+Case #10: 487200
+Case #11: 984393
+Case #12: 106718
+Case #13: 811951
+Case #14: 569818
+Case #15: 709190
+Case #16: 273515
+Case #17: 849698
+Case #18: 568298
+Case #19: 185674
+Case #20: 378672
+Case #21: 802415
+Case #22: 284922
+Case #23: 523225
+Case #24: 567769
+Case #25: 636508
+Case #26: 449921
+Case #27: 923660
+Case #28: 900872
+Case #29: 194939
+Case #30: 313933
+Case #31: 219766
+Case #32: 864609
+Case #33: 21064
+Case #34: 280883
+Case #35: 658792
+Case #36: 225962
+Case #37: 789644
+Case #38: 816281
+Case #39: 613647
+Case #40: 162643
diff --git a/2012/round1/squished_status.html b/2012/round1/squished_status.html
new file mode 100644
index 0000000000000000000000000000000000000000..99cff06a954c61b890e7f8fcd0ed4cfbb8f8a20b
--- /dev/null
+++ b/2012/round1/squished_status.html
@@ -0,0 +1,22 @@
+<p>Some engineers got tired of dealing with all the different ways of encoding status messages, so they decided to invent their own. In their new scheme, an encoded status message consists of a sequence of integers representing the characters in the message, separated by spaces. Each integer is between 1 and <strong>M</strong>, inclusive. The integers do not have leading zeroes. Unfortunately they decided to compress the encoded status messages by removing all the spaces!
+</p>
+<p>
+Your task is to figure out how many different encoded status messages a given compressed status message could have originally been. Because this number can be very large, you should return the answer modulo 4207849484  (0xfaceb00c in hex).
+</p>
+<p>
+For example, if the compressed status message is "12" it might have originally been "1&nbsp;2", or it might have originally been "12". The compressed status messages are between 1 and 1000 characters long, inclusive. Due to database corruption, a compressed status may contain sequences of digits that could not result from removing the spaces in an encoded status message.
+</p>
+<h3>Input</h3>
+<p>
+The input begins with a single integer, <strong>N</strong>, the number of compressed status messages you must analyze.  This will be followed by <strong>N</strong> compressed status messages, each consisting of an integer <strong>M</strong>, the highest character code for that database, then the compressed status message, which will be a string of digits each in the range '0' to '9', inclusive. All tokens in the input will be separated by some whitespace.
+</p>
+<h3>Output</h3>
+<p>
+For each of the test cases numbered in order from 1 to <strong>N</strong>, output "Case #<strong>i</strong>: " followed by a single integer containing the number of different encoded status messages that could be represented by the corresponding compressed sequence modulo 4207849484.  If none are possible, output a 0.
+</p>
+<h3>Constraints</h3>
+<p>
+5 &le; <strong>N</strong> &le; 25<br/>
+2 &le; <strong>M</strong> &le; 255<br/>
+1 &le; length of encoded status &le; 1000
+</p>
diff --git a/2012/round1/squished_status.in b/2012/round1/squished_status.in
new file mode 100644
index 0000000000000000000000000000000000000000..6e1c4a17f35999feb08a1f4c8d206f01f8af9946
--- /dev/null
+++ b/2012/round1/squished_status.in
@@ -0,0 +1,44 @@
+39
+12
+12
+255
+219
+30
+1234321
+2
+101
+70 8675309
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+120 874308165313353435924811434341778738339969013714566776179652
diff --git a/2012/round1/squished_status.md b/2012/round1/squished_status.md
new file mode 100644
index 0000000000000000000000000000000000000000..96f59db8303759bacc8d32e50651dfa3978963ed
--- /dev/null
+++ b/2012/round1/squished_status.md
@@ -0,0 +1,40 @@
+Some engineers got tired of dealing with all the different ways of encoding
+status messages, so they decided to invent their own. In their new scheme, an
+encoded status message consists of a sequence of integers representing the
+characters in the message, separated by spaces. Each integer is between 1 and
+**M**, inclusive. The integers do not have leading zeroes. Unfortunately they
+decided to compress the encoded status messages by removing all the spaces!
+
+Your task is to figure out how many different encoded status messages a given
+compressed status message could have originally been. Because this number can
+be very large, you should return the answer modulo 4207849484 (0xfaceb00c in
+hex).
+
+For example, if the compressed status message is "12" it might have originally
+been "1 2", or it might have originally been "12". The compressed status
+messages are between 1 and 1000 characters long, inclusive. Due to database
+corruption, a compressed status may contain sequences of digits that could not
+result from removing the spaces in an encoded status message.
+
+### Input
+
+The input begins with a single integer, **N**, the number of compressed status
+messages you must analyze. This will be followed by **N** compressed status
+messages, each consisting of an integer **M**, the highest character code for
+that database, then the compressed status message, which will be a string of
+digits each in the range '0' to '9', inclusive. All tokens in the input will
+be separated by some whitespace.
+
+### Output
+
+For each of the test cases numbered in order from 1 to **N**, output "Case
+#**i**: " followed by a single integer containing the number of different
+encoded status messages that could be represented by the corresponding
+compressed sequence modulo 4207849484. If none are possible, output a 0.
+
+### Constraints
+
+5 ≤ **N** ≤ 25  
+2 ≤ **M** ≤ 255  
+1 ≤ length of encoded status ≤ 1000
+
diff --git a/2012/round1/squished_status.out b/2012/round1/squished_status.out
new file mode 100644
index 0000000000000000000000000000000000000000..6af75ae7d212b49c9318d548b64b98f86e059af6
--- /dev/null
+++ b/2012/round1/squished_status.out
@@ -0,0 +1,39 @@
+Case #1: 2
+Case #2: 4
+Case #3: 6
+Case #4: 0
+Case #5: 2
+Case #6: 0
+Case #7: 34654464
+Case #8: 0
+Case #9: 0
+Case #10: 0
+Case #11: 371280
+Case #12: 0
+Case #13: 0
+Case #14: 0
+Case #15: 7651419
+Case #16: 4
+Case #17: 2173147248
+Case #18: 6552
+Case #19: 2229146040
+Case #20: 1263721604
+Case #21: 3478186852
+Case #22: 499590
+Case #23: 1051059688
+Case #24: 2351149120
+Case #25: 61689176
+Case #26: 2
+Case #27: 384124832
+Case #28: 3480803032
+Case #29: 1591622528
+Case #30: 2555632640
+Case #31: 1365
+Case #32: 37800
+Case #33: 121275
+Case #34: 610
+Case #35: 55
+Case #36: 2725167472
+Case #37: 2694707812
+Case #38: 192415212
+Case #39: 452999512
diff --git a/2012/round2/monopoly.html b/2012/round2/monopoly.html
new file mode 100644
index 0000000000000000000000000000000000000000..e92cc1965ba8dbdb797f9d1a2f2f3caca33daabb
--- /dev/null
+++ b/2012/round2/monopoly.html
@@ -0,0 +1,34 @@
+<p>In a certain business sector there are currently N small companies, each having just a single employee.  These employees are numbered 1 through N.</p>
+
+<p>The business sector is about to be transformed into a monopoly.  This will happen through a series of mergers, until there is only one company.  A single merger involves two companies.  In a merger, the president of one company becomes the direct report of the president of the other company, preserving the rest of the hierarchies of both companies.</p>
+
+<p>You will be given the descriptions of all mergers.  Depending on how they are performed (which of the two presidents involved becomes the president of the new company), the hierarchy can of the final company can take different shapes.  We want the hierarchy of the final company to be as shallow as possible.  The task is to find the smallest possible number of levels in the final hierarchy.</p>
+
+<p>There is also a limit D on the number of direct reports any employee can have.  Because of this limit, there may be only one way to accomplish a certain merger, or it might even be impossible.  However, there will always be some way to accomplish all the mergers.</p>
+
+<h3>Input</h3>
+
+<p>The first line contains the number of test cases T.</p>
+
+<p>Each test case starts with a blank line. The next line contains two integers, N and D.</p>
+
+<p>Each of the following N-1 lines describes a single merger, with two integers between 1 and N.  These are the employees whose companies are merging.  The two employees will never already be part of the same company.</p>
+
+<p>The mergers must be performed in the order in which they are given.</p>
+
+<h3>Constraints</h3>
+<p>
+5 &le; T &le; 20<br/>
+2 &le; N &le; 30,000<br/>
+1 &le; D &le; 5,000<br/>
+The input test cases will be such that it is possible to accomplish all mergers.<br/>
+</p>
+
+<h3>Output</h3>
+
+<p>For each of the test cases numbered in order from 1 to T, output "Case #i: " followed by a single integer, the smallest number of levels in the final hierarchy.</p>
+
+<h3>Examples</h3>
+
+<p>In the first example, we have N=3 and D=2.  The first merger happens between the companies of employees 1 and 2.  In the resulting company we can have employee 1 as the president with 2 as his report, or vice versa.  Next this company merges with the company of employee 3.  If we have employee 3 become the president, the hierarchy will be a chain 3-1-2 or 3-2-1.  If 1 or 2 become the president, that president will have the other two employees as direct reports.  This last hierarchy has two levels.</p>
+
diff --git a/2012/round2/monopoly.in b/2012/round2/monopoly.in
new file mode 100644
index 0000000000000000000000000000000000000000..282cd4f142d72fe112f7fa3217d3ccebbcd15d10
--- /dev/null
+++ b/2012/round2/monopoly.in
@@ -0,0 +1,44008 @@
+20
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diff --git a/2012/round2/monopoly.md b/2012/round2/monopoly.md
new file mode 100644
index 0000000000000000000000000000000000000000..5186060f4aa30141d8f2061a248723173d57e234
--- /dev/null
+++ b/2012/round2/monopoly.md
@@ -0,0 +1,58 @@
+In a certain business sector there are currently N small companies, each
+having just a single employee. These employees are numbered 1 through N.
+
+The business sector is about to be transformed into a monopoly. This will
+happen through a series of mergers, until there is only one company. A single
+merger involves two companies. In a merger, the president of one company
+becomes the direct report of the president of the other company, preserving
+the rest of the hierarchies of both companies.
+
+You will be given the descriptions of all mergers. Depending on how they are
+performed (which of the two presidents involved becomes the president of the
+new company), the hierarchy can of the final company can take different
+shapes. We want the hierarchy of the final company to be as shallow as
+possible. The task is to find the smallest possible number of levels in the
+final hierarchy.
+
+There is also a limit D on the number of direct reports any employee can have.
+Because of this limit, there may be only one way to accomplish a certain
+merger, or it might even be impossible. However, there will always be some way
+to accomplish all the mergers.
+
+### Input
+
+The first line contains the number of test cases T.
+
+Each test case starts with a blank line. The next line contains two integers,
+N and D.
+
+Each of the following N-1 lines describes a single merger, with two integers
+between 1 and N. These are the employees whose companies are merging. The two
+employees will never already be part of the same company.
+
+The mergers must be performed in the order in which they are given.
+
+### Constraints
+
+5 ≤ T ≤ 20  
+2 ≤ N ≤ 30,000  
+1 ≤ D ≤ 5,000  
+The input test cases will be such that it is possible to accomplish all
+mergers.  
+
+### Output
+
+For each of the test cases numbered in order from 1 to T, output "Case #i: "
+followed by a single integer, the smallest number of levels in the final
+hierarchy.
+
+### Examples
+
+In the first example, we have N=3 and D=2. The first merger happens between
+the companies of employees 1 and 2. In the resulting company we can have
+employee 1 as the president with 2 as his report, or vice versa. Next this
+company merges with the company of employee 3. If we have employee 3 become
+the president, the hierarchy will be a chain 3-1-2 or 3-2-1. If 1 or 2 become
+the president, that president will have the other two employees as direct
+reports. This last hierarchy has two levels.
+
diff --git a/2012/round2/monopoly.out b/2012/round2/monopoly.out
new file mode 100644
index 0000000000000000000000000000000000000000..e9eca449b95c00920ab11390eb8bd7efc9dba611
--- /dev/null
+++ b/2012/round2/monopoly.out
@@ -0,0 +1,20 @@
+Case #1: 2
+Case #2: 3
+Case #3: 3
+Case #4: 3
+Case #5: 4
+Case #6: 2
+Case #7: 501
+Case #8: 8
+Case #9: 7
+Case #10: 7
+Case #11: 6
+Case #12: 19
+Case #13: 16
+Case #14: 13
+Case #15: 35
+Case #16: 45
+Case #17: 22
+Case #18: 15
+Case #19: 8
+Case #20: 1244
diff --git a/2012/round2/road_removal.html b/2012/round2/road_removal.html
new file mode 100644
index 0000000000000000000000000000000000000000..f7e772cd92eb3519759d8f50d708d306948c616a
--- /dev/null
+++ b/2012/round2/road_removal.html
@@ -0,0 +1,24 @@
+<p>You are given a network with <b>N</b> cities and <b>M</b> bidirectional roads connecting these cities.  The first <b>K</b> cities are important. You need to remove the minimum number of roads such that in the remaining network there are no cycles that contain important cities. A cycle is a sequence of  at least three different cities such that each pair of neighboring cities are connected by a road and the first and the last city in the sequence are also connected by a road.</p>
+
+<h2>Input</h2>
+<p>The first line contains the number of test cases <strong>T</strong>.</p>
+
+<p>Each case begins with a line containing integers <strong>N</strong>, <strong>M</strong> and <strong>K</strong>, which represent the number of cities, the number of roads and the number of important cities, respectively.  The cities are numbered from <strong>0</strong> to <strong>N-1</strong>, and the important cities are numbered from <strong>0</strong> to <strong>K-1</strong>.  The following <strong>M</strong> lines contain two integers <strong>a[i]</strong> and <strong>b[i]</strong>, <strong>0</strong> &le; <strong>i</strong> < <strong>M</strong>, that represent two different cities connected by a road.</p>
+
+<p>It is guaranteed that <strong>0</strong> &le; <strong>a[i]</strong>, <strong>b[i]</strong> < <strong>N</strong> and <strong>a[i]</strong> &ne; <strong>b[i]</strong>. There will be at most one road between two cities.</p>
+
+<h2>Output</h2>
+<p>For each of the test cases numbered in order from <strong>1</strong> to <strong>T</strong>, output "Case #i: " followed by a single integer, the minimum number of roads that need to be removed such that there are no cycles that contain an important city.</p>
+
+<h2>Constraints</h2>
+<p>
+1 &le; <strong>T</strong> &le; 20<br/>
+1 &le; <strong>N</strong> &le; 10,000<br/>
+1 &le; <strong>M</strong> &le; 50,000<br/>
+1 &le; <strong>K</strong> &le; <strong>N</strong></p>
+
+
+<h3>Example</h3>
+
+<p>In the first example, we have <strong>N</strong>=5 cities that are connected by <strong>M</strong>=7 roads and the cities <strong>0</strong> and <strong>1</strong> are important.  We can remove two roads connecting (<strong>0</strong>, <strong>1</strong>) and (<strong>1</strong>, <strong>2</strong>) and the remaining network will not contain cycles with important cities.  Note that in the remaining network there is a cycle that contains only non-important cities, and that there are also multiple ways to remove two roads and satisfy all conditions.  One cannot remove only one road and destroy all cycles that contain important cities.</p>
+
diff --git a/2012/round2/road_removal.in b/2012/round2/road_removal.in
new file mode 100644
index 0000000000000000000000000000000000000000..ebd971c2bbee57579e749d080d7b024b20319399
--- /dev/null
+++ b/2012/round2/road_removal.in
@@ -0,0 +1,94485 @@
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diff --git a/2012/round2/road_removal.md b/2012/round2/road_removal.md
new file mode 100644
index 0000000000000000000000000000000000000000..b36bce1ae969e5f4ee06ef072505781930bddbd4
--- /dev/null
+++ b/2012/round2/road_removal.md
@@ -0,0 +1,45 @@
+You are given a network with **N** cities and **M** bidirectional roads
+connecting these cities. The first **K** cities are important. You need to
+remove the minimum number of roads such that in the remaining network there
+are no cycles that contain important cities. A cycle is a sequence of at least
+three different cities such that each pair of neighboring cities are connected
+by a road and the first and the last city in the sequence are also connected
+by a road.
+
+## Input
+
+The first line contains the number of test cases **T**.
+
+Each case begins with a line containing integers **N**, **M** and **K**, which
+represent the number of cities, the number of roads and the number of
+important cities, respectively. The cities are numbered from **0** to **N-1**,
+and the important cities are numbered from **0** to **K-1**. The following
+**M** lines contain two integers **a[i]** and **b[i]**, **0** ≤ **i** < **M**,
+that represent two different cities connected by a road.
+
+It is guaranteed that **0** ≤ **a[i]**, **b[i]** < **N** and **a[i]** ≠
+**b[i]**. There will be at most one road between two cities.
+
+## Output
+
+For each of the test cases numbered in order from **1** to **T**, output "Case
+#i: " followed by a single integer, the minimum number of roads that need to
+be removed such that there are no cycles that contain an important city.
+
+## Constraints
+
+1 ≤ **T** ≤ 20  
+1 ≤ **N** ≤ 10,000  
+1 ≤ **M** ≤ 50,000  
+1 ≤ **K** ≤ **N**
+
+### Example
+
+In the first example, we have **N**=5 cities that are connected by **M**=7
+roads and the cities **0** and **1** are important. We can remove two roads
+connecting (**0**, **1**) and (**1**, **2**) and the remaining network will
+not contain cycles with important cities. Note that in the remaining network
+there is a cycle that contains only non-important cities, and that there are
+also multiple ways to remove two roads and satisfy all conditions. One cannot
+remove only one road and destroy all cycles that contain important cities.
+
diff --git a/2012/round2/road_removal.out b/2012/round2/road_removal.out
new file mode 100644
index 0000000000000000000000000000000000000000..2e8678ecab2cf5a854c9123b52d2cfea548e7b63
--- /dev/null
+++ b/2012/round2/road_removal.out
@@ -0,0 +1,20 @@
+Case #1: 2
+Case #2: 4
+Case #3: 72
+Case #4: 33
+Case #5: 361
+Case #6: 398
+Case #7: 4851
+Case #8: 1176
+Case #9: 511
+Case #10: 1014
+Case #11: 1114
+Case #12: 286
+Case #13: 0
+Case #14: 1070
+Case #15: 731
+Case #16: 22
+Case #17: 3135
+Case #18: 13995
+Case #19: 4569
+Case #20: 190
diff --git a/2012/round2/sequence_slicing.html b/2012/round2/sequence_slicing.html
new file mode 100644
index 0000000000000000000000000000000000000000..71f786a7a87c06393bd3ec5b03dd79debd0aab5d
--- /dev/null
+++ b/2012/round2/sequence_slicing.html
@@ -0,0 +1,39 @@
+<p>Let <b>S</b> be a sequence of <b>N</b> natural numbers. We can define an infinite sequence <b>MS</b> in the following way:
+<b>MS</b>[k] = <b>S</b>[k mod <b>N</b>] + <b>N</b> * floor(k / <b>N</b>).
+Where k is a zero based index. </p>
+<p>For example if the sequence <b>S</b> is {2, 1, 3} then <b>MS</b> would be {2, 1, 3, 5, 4, 6, 8, 7, 9, 11, 10, 12...}</p>
+
+<p>Now consider a subsequence of <b>MS</b> generated by picking two random indices <b>a</b>, <b>b</b> from the range [<b>0</b>..<b>R</b>] inclusive, and taking all the elements between them, that is:
+<b>MS</b>[min(<b>a</b>, <b>b</b>)..max(<b>a</b>, <b>b</b>)].
+<p>If we use the same <b>MS</b> as in the example above and <b>a</b> = 2, <b>b</b> = 5 then our subsequence would be {3, 5, 4, 6}.
+</p>
+<p>Your task is to calculate the probability that the selected subsequence has at least <b>K</b> distinct elements. <b>a</b> and <b>b</b> are selected independently and with a uniform distribution. The result should be printed as a fraction. See the "Output" section for clarification.
+
+<h3>Input</h3>
+<p>The first line of the input file contains an integer <b>T</b>. This is followed by <b>T</b> test cases, each of which has two lines.</p>
+<p>The first line of each test case contains three integers separated by spaces, <b>N</b>, <b>K</b>, and <b>R</b>.<br/>
+
+<p>The second line contains <b>N</b> space separated integers, <b>S</b>[0] through <b>S</b>[<b>N</b>-1].</p>
+
+<h3>Constraints</h3>
+<p>1 &le; <b>T</b> &le; 20<br/>
+1 &le; <b>N</b> &le; 2,000<br/>
+1 &le; <b>K</b> &le; <b>R</b> &le; 1,000,000,000<br/>
+1 &le; <b>S</b>[i] &le; 100,000</p>
+
+<h3>Output</h3>
+<p>
+For each of the test cases numbered in order from 1 to <strong>T</strong>, output "Case #<b>i</b>: " followed by the probability that the selected subsequence of <b>MS</b> has at least <b>K</b> distinct elements. The probability should be expressed as a fraction <b>p</b>/<b>q</b>, where <b>p</b> and <b>q</b> represent the numerator and denominator respectively and are relatively prime (that is they share no common positive divisors except 1).  
+</p>
+
+<p>If the probability is 0 or 1 output 0/1 or 1/1 respectively.</p>
+
+<h3>Examples</h3>
+<p>In the first example there are 36 different subsequences to consider. 6 of them have only a single number, and the remaining 30 have at least 2 different numbers, so the answer is 5/6.
+</p>
+<p>
+The second example is similar, but now the sequence looks like {2, 1, 5, 5, 4, 8}. There are 8 subsequences with less than 2 distinct numbers: the six single number subsequences plus (a=2, b=3) and (a=3, b=2) which both result in {5,5}. That gives a probability of (36 - 8) / 36 = 7/9.
+</p>
+<p>
+The third example uses the same sequence as the second example, but now we want to have subsequences with at least 4 different numbers. All pairs of indices that have this property are: (0,4), (0, 5), (1, 5), (4, 0), (5, 0), and (5, 1). Six out of thirty six results in a probability of 1/6.
+</p>
diff --git a/2012/round2/sequence_slicing.in b/2012/round2/sequence_slicing.in
new file mode 100644
index 0000000000000000000000000000000000000000..1b8eaac2dbfb7ca9ea5dce5c21899fb5661f9117
--- /dev/null
+++ b/2012/round2/sequence_slicing.in
@@ -0,0 +1,69 @@
+34
+3 2 5
+2 1 3
+3 2 5
+2 1 5
+3 4 5
+2 1 5
+3 5 5
+2 2 5
+10 1000 1000000
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75000 84000 51000 60000 74000 43000 68000 1000 97000 60000 29000 36000 33000 65000 68000 47000 92000 26000 86000 54000 73000 22000 82000 25000 82000 2000 23000 71000 37000 98000 27000 63000 96000 14000 3000 57000 72000 10000 96000 25000 59000 99000 93000 80000 98000 28000 9000 30000 34000 30000 93000 93000 89000 75000 99000 88000 73000 71000 5000 40000 81000 55000 90000 95000 13000 27000 90000 92000 66000 29000 59000 69000 30000 53000 53000 45000 38000 61000 6000 8000 1000 88000 44000 10000 52000 96000 55000 37000 78000 45000 14000 82000 83000 81000 62000 75000 66000 66000 10000 98000 52000 84000 14000 93000 85000 25000 11000 93000 47000 29000 52000 14000 99000 34000 62000 32000 77000 67000 55000 56000 75000 31000 38000 71000 53000 37000 37000 39000 64000 24000 82000 14000 8000 41000 3000 76000 80000 77000 19000 24000 34000 53000 25000 78000 92000 61000 31000 55000 85000 63000 10000 46000 11000 19000 9000 95000 77000 82000 3000 31000 24000 95000 33000 80000 68000 51000 7000 80000 62000 80000 10000 92000 86000 85000 94000 31000 94000 78000 2000 16000 25000 10000 52000 56000 30000 26000 76000 59000 55000 21000 57000 52000 12000 91000 59000 57000 73000 13000 30000 58000 99000 21000 97000 76000 60000 50000 3000 25000 4000 60000 59000 64000 21000 64000 41000 8000 75000 13000 87000 46000 88000 70000 66000 94000 5000 90000 70000 98000 96000 89000 25000 7000 66000 63000 54000 84000 33000 68000 66000 45000 80000 35000 57000 54000 71000 53000 92000 92000 40000 11000 54000 56000 13000 62000 11000 74000 14000 6000 14000 83000 37000 82000 46000 47000 17000 87000 94000 96000 31000 11000 56000 6000 56000 69000 75000 7 7 17000 93000 37000 49000 31000 22000 28000 77000 86000 47000 37000 22000 30000 70000 16000 6000 43000 98000 27000 82000 78000 87000 80000 13000 79000 31000 73000 86000 72000 81000 90000 24000 14000 43000 48000 56000 5000 46000 69000 11000 36000 45000 88000 91000 74000 45000 40000 55000 91000 52000 42000 59000 23000 52000 24000 35000 5000 38000 67000 33000 36000 13000 99000 37000 80000 17000 13000 35000 63000 3000 27000 40000 56000 25000 99000 53000 84000 68000 8000 1000 22000 86000 83000 74000 63000 91000 36000 77000 45000 38000 75000 76000 52000 70000 12000 58000 63000 82000 34000 35000 5000 39000 49000 54000 49000 56000 20000 14000 90000 35000 11000 84000 41000 73000 34000 12000 54000 16000 28000 42000 70000 97000 89000 35000 15000 86000 45000 29000 61000 87000 31000 3000 55000 70000 46000 54000 11000 21000 58000 72000 67000 7000 58000 42000 96000 84000 49000 53000 74000 68000 58000 55000 18000 32000 87000 34000 9000 61000 55000 43000 32000 74000 67000 55000 66000 83000 53000 82000 50000 89000 55000 60000 18000 21000 52000 10000 55000 53000 69000 63000 21000 72000 52000 69000 22000 1000 24000 52000 76000 80000 29000 28000 50000 90000 84000 19000 55000 50000 37000 98000 94000 27000 62000 93000 58000 41000 82000 52000 7000 29000 18000 2000 74000 73000 9000 37000 77000 32000 52000 96000 61000 71000 49000 33000 72000 43000 43000 65000 89000 54000 28000 74000 16000 99000 44000 6000 78000 67000 69000 18000 12000 29000 47000 77000 18000 63000 54000 68000 33000 58000 62000 53000 75000 33000 96000 2000 75000 3000 70000 88000 52000 6000 69000 15000 85000 84000 30000 10000 85000 73000 28000 82000 52000 95000 96000 40000 11000 80000 41000 3000 49000 50000 95000 3000 95000 52000 88000 34000 16000 5000 27000 40000 58000 48000 90000 71000 34000 56000 18000 18000 80000 20000 34000 7 26000 47000 95000 47000 27000 47000 12000 53000 84000 28000 67000 74000 28000 25000 36000 90000 73000 17000 52000 20000 51000 1000 95000 53000 50000 78000 34000 4000 67000 5000 86000 46000 75000 45000 50000 67000 64000 81000 85000 88000 61000 6000 66000 61000 85000 80000 99000 53000 51000 81000 50000 35000 37000 16000 40000 69000 82000 92000 81000 66000 5000 97000 13000 4000 43000 61000 28000 87000 29000 88000 39000 26000 51000 54000 85000 30000 16000 33000 98000 34000 52000 23000 54000 98000 24000 18000 84000 77000 59000 86000 64000 54000 92000 52000 63000 93000 67000 48000 81000 22000 81000 76000 82000 58000 32000 31000 99000 1000 68000 11000 1000 61000 84000 74000 3000 24000 68000 5000 86000 71000 86000 38000 13000 29000 13000 49000 96000 23000 29000 93000 73000 30000 76000 90000 15000 28000 68000 14000 75000 11000 62000 57000 28000 11000 61000 38000 14000 32000 19000 86000 45000 18000 41000 98000 53000 69000 17000 59000 73000 50000 39000 59000 23000 86000 79000 93000 51000 52000 77000 86000 69000 96000 92000 95000 19000 60000 23000 59000 18000 5000 58000 97000 76000 51000 91000 45000 29000 86000 3000 66000 83000 61000 74000 40000 57000 67000 66000 96000 41000 24000 20000 95000 30000 33000 62000 55000 24000 5000 6000 1000 54000 60000 23000 37000 85000 20000 14000 7000 29000 89000 34000 99000 28000 1000 50000 25000 31000 67000 44000 41000 97000 64000 2000
+1 1000000000 1000000000
+1
diff --git a/2012/round2/sequence_slicing.md b/2012/round2/sequence_slicing.md
new file mode 100644
index 0000000000000000000000000000000000000000..cfd5b23342a19c4fdfa16a1465a31f1f5e27e254
--- /dev/null
+++ b/2012/round2/sequence_slicing.md
@@ -0,0 +1,64 @@
+Let **S** be a sequence of **N** natural numbers. We can define an infinite
+sequence **MS** in the following way: **MS**[k] = **S**[k mod **N**] + **N** *
+floor(k / **N**). Where k is a zero based index.
+
+For example if the sequence **S** is {2, 1, 3} then **MS** would be {2, 1, 3,
+5, 4, 6, 8, 7, 9, 11, 10, 12...}
+
+Now consider a subsequence of **MS** generated by picking two random indices
+**a**, **b** from the range [**0**..**R**] inclusive, and taking all the
+elements between them, that is: **MS**[min(**a**, **b**)..max(**a**, **b**)].
+
+If we use the same **MS** as in the example above and **a** = 2, **b** = 5
+then our subsequence would be {3, 5, 4, 6}.
+
+Your task is to calculate the probability that the selected subsequence has at
+least **K** distinct elements. **a** and **b** are selected independently and
+with a uniform distribution. The result should be printed as a fraction. See
+the "Output" section for clarification.
+
+### Input
+
+The first line of the input file contains an integer **T**. This is followed
+by **T** test cases, each of which has two lines.
+
+The first line of each test case contains three integers separated by spaces,
+**N**, **K**, and **R**.  
+
+The second line contains **N** space separated integers, **S**[0] through
+**S**[**N**-1].
+
+### Constraints
+
+1 ≤ **T** ≤ 20  
+1 ≤ **N** ≤ 2,000  
+1 ≤ **K** ≤ **R** ≤ 1,000,000,000  
+1 ≤ **S**[i] ≤ 100,000
+
+### Output
+
+For each of the test cases numbered in order from 1 to **T**, output "Case
+#**i**: " followed by the probability that the selected subsequence of **MS**
+has at least **K** distinct elements. The probability should be expressed as a
+fraction **p**/**q**, where **p** and **q** represent the numerator and
+denominator respectively and are relatively prime (that is they share no
+common positive divisors except 1).
+
+If the probability is 0 or 1 output 0/1 or 1/1 respectively.
+
+### Examples
+
+In the first example there are 36 different subsequences to consider. 6 of
+them have only a single number, and the remaining 30 have at least 2 different
+numbers, so the answer is 5/6.
+
+The second example is similar, but now the sequence looks like {2, 1, 5, 5, 4,
+8}. There are 8 subsequences with less than 2 distinct numbers: the six single
+number subsequences plus (a=2, b=3) and (a=3, b=2) which both result in {5,5}.
+That gives a probability of (36 - 8) / 36 = 7/9.
+
+The third example uses the same sequence as the second example, but now we
+want to have subsequences with at least 4 different numbers. All pairs of
+indices that have this property are: (0,4), (0, 5), (1, 5), (4, 0), (5, 0),
+and (5, 1). Six out of thirty six results in a probability of 1/6.
+
diff --git a/2012/round2/sequence_slicing.out b/2012/round2/sequence_slicing.out
new file mode 100644
index 0000000000000000000000000000000000000000..9015dd7982d8bbedf94812638985348d4cdec6fd
--- /dev/null
+++ b/2012/round2/sequence_slicing.out
@@ -0,0 +1,34 @@
+Case #1: 5/6
+Case #2: 7/9
+Case #3: 1/6
+Case #4: 0/1
+Case #5: 998005995006/1000002000001
+Case #6: 2692922/5841889
+Case #7: 69911/315844
+Case #8: 11382034/14250625
+Case #9: 23677986/24611521
+Case #10: 233678/3876961
+Case #11: 1/1
+Case #12: 10566737/27602450
+Case #13: 894152/6171605
+Case #14: 631400/4531323
+Case #15: 2727724/54272689
+Case #16: 51911/46967432
+Case #17: 2084441/4456321
+Case #18: 13044037/18060050
+Case #19: 0/1
+Case #20: 1/1
+Case #21: 7406024/21669025
+Case #22: 335222/1575025
+Case #23: 4188535/6780816
+Case #24: 172484/1565001
+Case #25: 62267074/95942025
+Case #26: 10535999529895110/85209558285138169
+Case #27: 568783218408907/8314358527108732
+Case #28: 0/1
+Case #29: 416515005307519/7653652276052250
+Case #30: 1844737452390571/1890800074855561
+Case #31: 35334298477125432/35624192971900729
+Case #32: 98894340234057202/100064691043101225
+Case #33: 778741908690941/859699982029952
+Case #34: 6/1000000002000000001
diff --git a/2012/round3/divisor_function_optimization.html b/2012/round3/divisor_function_optimization.html
new file mode 100644
index 0000000000000000000000000000000000000000..5d08a6bd262f0cd69082ca89c21c0ae9fcef89a9
--- /dev/null
+++ b/2012/round3/divisor_function_optimization.html
@@ -0,0 +1,19 @@
+<p> Let <b>d(N)</b> be the number of positive divisors of positive integer <b>N</b>.
+Consider the infinite sequence <b>x(n) = d(n)<sup>a</sup> / n<sup>b</sup>, n = 1, 2, 3, …</b>
+where <b>a</b> and <b>b</b> are fixed positive integers.
+It can be shown that this sequence tends to zero. Hence it attains its maximum. Denote it by <b>p/q</b> where <b>p</b> and <b>q</b> are co-prime positive integers. Your task is for given <b>a</b> and <b>b</b> find <b>p</b> and <b>q</b> modulo <b>M = 10<sup>9</sup>+7</b>. But to keep input and output small you will be given tuples <b>(b1; b2; a1; a2; c)</b> and need to calculate the sum of <b>(p mod M)</b> for all pairs <b>(a; b)</b> such that <b>b1 &le; b &le; b2</b>, <b>a1 &le; a &le; a2</b> and <b> a &le; c*b</b>, and the same sum for <b>q</b>-values. </p>
+
+<h3>Input</h3>
+<p>The first line contains a positive integer <b>T</b>, the number of test cases. <b>T</b> test cases follow. The only line of each test case contains five space separated positive integers <b>b1, b2, a1, a2</b> and <b>c</b>.</p>
+
+<h3>Output</h3>
+<p>For each of the test cases numbered in order from <b>1</b> to <b>T</b>, output "Case #i: " followed by a space separated pair of integers:  the sum of <b>(p mod M)</b> for all pairs <b>(a; b)</b> mentioned above and the sum of <b>(q mod M)</b> for all such pairs. Note that you need to find the sum of residues not the residue of sum (see testcase 3 as a reference).</p>
+
+<h3>Constraints</h3>
+<p>
+1 &le; <b>T</b> &le; 20<br/>
+1 &le; <b>b1</b> &le; <b>b2</b> &le; 10,000<br/>
+1 &le; <b>a1</b> &le; <b>a2</b> &le; 250,000<br/>
+1 &le; <b>c</b> &le; 25<br/>
+in each testcase the total number of pairs <b>(a; b)</b> for which the answer should be calculated does not exceed 100,000<br/></p>
+
diff --git a/2012/round3/divisor_function_optimization.in b/2012/round3/divisor_function_optimization.in
new file mode 100644
index 0000000000000000000000000000000000000000..5b2f95c5b811b85aef593c0f176da84683f69625
--- /dev/null
+++ b/2012/round3/divisor_function_optimization.in
@@ -0,0 +1,61 @@
+60
+1 1 1 3 10
+1 2 1 88 3
+1 10 1 50 5
+1 1 1 15 15
+30 33 1 29 25
+6798 6882 169850 250000 25
+5096 5115 122648 250000 25
+5011 5046 122987 250000 25
+6690 6732 165479 250000 25
+7697 7724 189288 250000 25
+9238 9278 229042 250000 25
+9371 9393 230359 250000 25
+5681 5699 137220 250000 25
+7987 8001 193583 250000 25
+7970 8005 196945 250000 25
+6840 6859 166265 250000 25
+8501 8513 205480 250000 25
+8225 8236 197628 250000 25
+8696 8707 209777 250000 25
+7495 7526 184713 250000 25
+7684 7696 184667 250000 25
+8515 8526 204793 250000 25
+7854 7871 191260 250000 25
+9388 9405 229545 250000 25
+5384 5462 134335 250000 25
+7121 7142 173802 250000 25
+6036 6056 146518 250000 25
+7896 7934 195386 250000 25
+6012 6097 150207 250000 25
+7582 7597 183787 250000 25
+6659 6705 164978 250000 25
+7288 7308 177789 250000 25
+6733 6748 162508 250000 25
+7137 7215 178137 250000 25
+8610 8627 210080 250000 25
+8687 8713 213837 250000 25
+5540 5572 135887 250000 25
+6107 6179 152208 250000 25
+8432 8445 203822 250000 25
+5449 5518 135692 250000 25
+9008 9018 216706 250000 25
+9195 9213 224976 250000 25
+7672 7691 187259 250000 25
+9843 9854 238505 250000 25
+8210 8242 202694 250000 25
+9284 9302 227163 250000 25
+8635 8681 214328 250000 25
+8289 8300 199428 250000 25
+9500 9514 231028 250000 25
+5659 5691 138848 250000 25
+6428 6445 155543 250000 25
+9277 9305 228865 250000 25
+5554 5627 138432 250000 25
+9464 9476 229150 250000 25
+5311 5342 130129 250000 25
+9648 9671 237370 250000 25
+9877 9907 244116 250000 25
+9744 9758 237217 250000 25
+5625 5641 135222 250000 25
+6949 6985 171527 250000 25
diff --git a/2012/round3/divisor_function_optimization.md b/2012/round3/divisor_function_optimization.md
new file mode 100644
index 0000000000000000000000000000000000000000..b17d86f8dfbc912f0b3de39e65695703ebe549c7
--- /dev/null
+++ b/2012/round3/divisor_function_optimization.md
@@ -0,0 +1,33 @@
+Let **d(N)** be the number of positive divisors of positive integer **N**.
+Consider the infinite sequence **x(n) = d(n)a / nb, n = 1, 2, 3, …** where
+**a** and **b** are fixed positive integers. It can be shown that this
+sequence tends to zero. Hence it attains its maximum. Denote it by **p/q**
+where **p** and **q** are co-prime positive integers. Your task is for given
+**a** and **b** find **p** and **q** modulo **M = 109+7**. But to keep input
+and output small you will be given tuples **(b1; b2; a1; a2; c)** and need to
+calculate the sum of **(p mod M)** for all pairs **(a; b)** such that **b1 ≤ b
+≤ b2**, **a1 ≤ a ≤ a2** and ** a ≤ c*b**, and the same sum for **q**-values.
+
+### Input
+
+The first line contains a positive integer **T**, the number of test cases.
+**T** test cases follow. The only line of each test case contains five space
+separated positive integers **b1, b2, a1, a2** and **c**.
+
+### Output
+
+For each of the test cases numbered in order from **1** to **T**, output "Case
+#i: " followed by a space separated pair of integers: the sum of **(p mod M)**
+for all pairs **(a; b)** mentioned above and the sum of **(q mod M)** for all
+such pairs. Note that you need to find the sum of residues not the residue of
+sum (see testcase 3 as a reference).
+
+### Constraints
+
+1 ≤ **T** ≤ 20  
+1 ≤ **b1** ≤ **b2** ≤ 10,000  
+1 ≤ **a1** ≤ **a2** ≤ 250,000  
+1 ≤ **c** ≤ 25  
+in each testcase the total number of pairs **(a; b)** for which the answer
+should be calculated does not exceed 100,000  
+
diff --git a/2012/round3/divisor_function_optimization.out b/2012/round3/divisor_function_optimization.out
new file mode 100644
index 0000000000000000000000000000000000000000..a7994d58682f98437c0d451f618ec2009d5451e8
--- /dev/null
+++ b/2012/round3/divisor_function_optimization.out
@@ -0,0 +1,60 @@
+Case #1: 1540 37
+Case #2: 2377233 1491
+Case #3: 75232917907 54682660016
+Case #4: 5956707232 7441063226
+Case #5: 116 116
+Case #6: 48864054455446 48882318765111
+Case #7: 49876242554215 49849227701361
+Case #8: 49145779903218 49112097249029
+Case #9: 49573789887715 49310294451041
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diff --git a/2012/round3/trapezoids.html b/2012/round3/trapezoids.html
new file mode 100644
index 0000000000000000000000000000000000000000..ddb6a78e487c4ce1f10046a514dff7b0fcbfac15
--- /dev/null
+++ b/2012/round3/trapezoids.html
@@ -0,0 +1,68 @@
+<p>Consider two horizontal lines and a set of <b>N</b> trapezoids. A trapezoid <b>T[i]</b> between these lines has two vertices situated on the upper line and the other two vertices on the lower line. We will denote by <b>a[i], b[i], c[i]</b> and <b>d[i]</b> the upper left, upper right, lower left and respectively lower right vertices of the trapezoid <b>T[i]</b>. Assume that no two trapezoids share a common vertex (meaning that all <b>a [i]</b> and <b>b [i]</b> coordinates on the upper line are different, and the same holds for the bottom line and coordinates <b>c [i]</b> and <b>d [i]</b>). A trapezoid set is called <b>disconnected</b> if one can separate the trapezoids in two or more groups such that no two trapezoids from different groups intersect. Determine the smallest number of trapezoids to remove, such that the remaining trapezoids form a disconnected set. If the solution does not exist, output <b>-1</b>.</p>
+
+<h3>Input</h3>
+<p>The first line of the input file contains an integer <b>T</b>, and this is followed by <b>T</b> test cases. Each test case is given in the compressed format.
+
+<p>The first line of each test case contains the number of trapezoids <b>N</b>, an integer <b>K</b>, and integer parameters <b>X, A, B, M, p, q</b>. In the next <b>K</b> lines are given integer numbers <b>aa[i], bb[i], cc[i], dd[i]</b>. The following code is used for generating the next random number using linear congruential generator with the starting value <b>X</b> and parameters <b>A, B</b> and modulo <b>M</b>:</br>
+
+<pre>
+long long prior = X;
+long long next() {
+  prior = (A * prior + B) % M;
+  return prior;
+}
+</pre>
+
+The following code is used for extending the auxiliary sequences <b>aa, bb, cc</b> and <b>dd</b>:
+<pre>
+for (int i = K; i < N; i++) {
+    aa [i] = aa [i - K] + next() % (2 * p) - p;
+    bb [i] = aa [i] + 1 + next() % (2 * (bb [i % K] - aa [i % K]));
+    cc [i] = cc [i - K] + next() % (2 * q) - q;
+    dd [i] = cc [i] + 1 + next() % (2 * (dd [i % K] - cc [i % K]));
+}
+</pre>
+
+The final coordinates of the trapezoids are given by:</br>
+<pre>
+for (int i = 0; i < N; i++) {
+    a [i] = aa [i] * 1000000 + i;
+    b [i] = bb [i] * 1000000 + i;
+    c [i] = cc [i] * 1000000 + i;
+    d [i] = dd [i] * 1000000 + i;
+}
+</pre>
+
+Note that above code generates trapezoids that satisfy all conditions of the problem, and '%' denotes the remainder of division.
+
+<h2>Output</h2>
+<p>For each of the test cases numbered in order from <b>1</b> to <b>T</b>, output "Case #i: " followed by a single integer, the minimum number of trapezoids that need to be removed such that the remaining trapezoids form a disconnected set. </p>
+
+<h2>Constraints</h2>
+<p>
+1 &le; <b>T</b> &le; 20<br/>
+1 &le; <b>N</b> &le; 300,000<br/>
+1 &le; <b>K</b> &le; <b>N</b><br/>
+0 &le; <b>X, A, B</b> &le; 2,000,000,000<br/>
+-2,000,000,000 &le; <b>aa [i], bb [i], cc [i], dd [i]</b> &le; 2,000,000,000<br/>
+1 &le; <b>p, q, M</b> &le; 2,000,000,000<br/>
+
+<h3>Examples</h3>
+
+<p>In the first example, one can remove trapezoids 5 and 6 leaving two disconnected sets with trapezoids (1, 2, 3, 4) and (7, 8).</p>
+
+<p>In the second example, the coordinates of ten trapezoids are
+<pre>
+1000000 4000000 3000000 5000000
+7000001 8000001 2000001 6000001
+2000002 7000002 2000002 5000002
+5000003 7000003 2000003 6000003
+4 6000004 2000004 3000004
+4000005 5000005 3000005 8000005
+-999994 6 6 2000006
+4000007 6000007 1000007 7000007
+-999992 8 -999992 2000008
+5000009 6000009 9 7000009
+</pre>
+</p>
+
diff --git a/2012/round3/trapezoids.in b/2012/round3/trapezoids.in
new file mode 100644
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--- /dev/null
+++ b/2012/round3/trapezoids.in
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diff --git a/2012/round3/trapezoids.md b/2012/round3/trapezoids.md
new file mode 100644
index 0000000000000000000000000000000000000000..5449029368ac0beb4605a873d2c848327f16b6ae
--- /dev/null
+++ b/2012/round3/trapezoids.md
@@ -0,0 +1,87 @@
+Consider two horizontal lines and a set of **N** trapezoids. A trapezoid
+**T[i]** between these lines has two vertices situated on the upper line and
+the other two vertices on the lower line. We will denote by **a[i], b[i],
+c[i]** and **d[i]** the upper left, upper right, lower left and respectively
+lower right vertices of the trapezoid **T[i]**. Assume that no two trapezoids
+share a common vertex (meaning that all **a [i]** and **b [i]** coordinates on
+the upper line are different, and the same holds for the bottom line and
+coordinates **c [i]** and **d [i]**). A trapezoid set is called
+**disconnected** if one can separate the trapezoids in two or more groups such
+that no two trapezoids from different groups intersect. Determine the smallest
+number of trapezoids to remove, such that the remaining trapezoids form a
+disconnected set. If the solution does not exist, output **-1**.
+
+### Input
+
+The first line of the input file contains an integer **T**, and this is
+followed by **T** test cases. Each test case is given in the compressed
+format.
+
+The first line of each test case contains the number of trapezoids **N**, an
+integer **K**, and integer parameters **X, A, B, M, p, q**. In the next **K**
+lines are given integer numbers **aa[i], bb[i], cc[i], dd[i]**. The following
+code is used for generating the next random number using linear congruential
+generator with the starting value **X** and parameters **A, B** and modulo
+**M**:
+
+    long long prior = X;
+    long long next() {
+      prior = (A * prior + B) % M;
+      return prior;
+    }
+
+The following code is used for extending the auxiliary sequences **aa, bb,
+cc** and **dd**:
+
+    for (int i = K; i < N; i++) {
+        aa [i] = aa [i - K] + next() % (2 * p) - p;
+        bb [i] = aa [i] + 1 + next() % (2 * (bb [i % K] - aa [i % K]));
+        cc [i] = cc [i - K] + next() % (2 * q) - q;
+        dd [i] = cc [i] + 1 + next() % (2 * (dd [i % K] - cc [i % K]));
+    }
+
+The final coordinates of the trapezoids are given by:
+
+    for (int i = 0; i < N; i++) {
+        a [i] = aa [i] * 1000000 + i;
+        b [i] = bb [i] * 1000000 + i;
+        c [i] = cc [i] * 1000000 + i;
+        d [i] = dd [i] * 1000000 + i;
+    }
+
+Note that above code generates trapezoids that satisfy all conditions of the
+problem, and '%' denotes the remainder of division.
+
+## Output
+
+For each of the test cases numbered in order from **1** to **T**, output "Case
+#i: " followed by a single integer, the minimum number of trapezoids that need
+to be removed such that the remaining trapezoids form a disconnected set.
+
+## Constraints
+
+1 ≤ **T** ≤ 20  
+1 ≤ **N** ≤ 300,000  
+1 ≤ **K** ≤ **N**  
+0 ≤ **X, A, B** ≤ 2,000,000,000  
+-2,000,000,000 ≤ **aa [i], bb [i], cc [i], dd [i]** ≤ 2,000,000,000  
+1 ≤ **p, q, M** ≤ 2,000,000,000  
+
+### Examples
+
+In the first example, one can remove trapezoids 5 and 6 leaving two
+disconnected sets with trapezoids (1, 2, 3, 4) and (7, 8).
+
+In the second example, the coordinates of ten trapezoids are
+
+    1000000 4000000 3000000 5000000
+    7000001 8000001 2000001 6000001
+    2000002 7000002 2000002 5000002
+    5000003 7000003 2000003 6000003
+    4 6000004 2000004 3000004
+    4000005 5000005 3000005 8000005
+    -999994 6 6 2000006
+    4000007 6000007 1000007 7000007
+    -999992 8 -999992 2000008
+    5000009 6000009 9 7000009
+
diff --git a/2012/round3/trapezoids.out b/2012/round3/trapezoids.out
new file mode 100644
index 0000000000000000000000000000000000000000..d27389db013235d57a15c5b6b536da651bc7d28e
--- /dev/null
+++ b/2012/round3/trapezoids.out
@@ -0,0 +1,30 @@
+Case #1: 2
+Case #2: 6
+Case #3: 50002
+Case #4: 61
+Case #5: -1
+Case #6: -1
+Case #7: 1
+Case #8: 25
+Case #9: 161
+Case #10: 988
+Case #11: 1
+Case #12: 100002
+Case #13: 32183
+Case #14: 49898
+Case #15: 120004
+Case #16: 498
+Case #17: 1
+Case #18: 82
+Case #19: 16
+Case #20: 14213
+Case #21: 838
+Case #22: 3291
+Case #23: 47541
+Case #24: 1
+Case #25: 35958
+Case #26: 3
+Case #27: 2582
+Case #28: 382
+Case #29: 1
+Case #30: 0
diff --git a/2012/round3/unfriending.html b/2012/round3/unfriending.html
new file mode 100644
index 0000000000000000000000000000000000000000..46ca612662daa241f811b22226f59674b5d5e580
--- /dev/null
+++ b/2012/round3/unfriending.html
@@ -0,0 +1,44 @@
+<p>
+It's time to clean up your friends list after friending too many people on Facebook over the winter.
+The set of your friends' user ids is <b>F</b> = {<b>x<sub>0</sub></b>, <b>x<sub>1</sub></b>, ..., <b>x<sub>n-1</sub></b>}. Each friend from <b>F</b> is on zero or more friend lists that you use to organize your friends. There are <b>M</b> friend lists, <b>c<sub>0</sub></b>, <b>c<sub>1</sub></b>, ..., <b>c<sub>m-1</sub></b>. 
+
+You can unfriend (remove from <b>F</b>) some of your friends, but because you want to stay in touch with people, you can only unfriend one person from each friend list. You may also choose not to unfriend anyone from friend list. Any friend that isn't on a friend list cannot be unfriended.</p>
+
+<p>
+Your goal is to find the maximum possible distance between the two friends whose user ids are the closest after you are done unfriending people. The distance between user id <b>x</b> and user id <b>y</b> is defined as abs(<b>x</b>-<b>y</b>).
+</p>
+
+<h3>Input</h3>
+<p>The first line contains a positive integer <b>T</b>, the number of test cases. <b>T</b> test cases follow.</p>
+
+<p>The first line of each test case contains the number of friends <b>N</b>, and number of friend lists <b>M</b>, separated by a space. The second line contains <b>x<sub>0</sub></b> and integer parameters <b>a</b>, <b>b</b>, and <b>p</b>, separated by spaces. You must use these to generate the remaining numbers <b>x<sub>1</sub></b>, &#x2026;, <b>x<sub>n-1</sub></b> according to this formula:
+
+<blockquote>
+<b>x<sub>i</sub></b> = (<b>x<sub>i-1</sub></b> * <b>a</b> + <b>b</b>) mod <b>p</b>
+</blockquote>
+
+The next M lines of each test case define the friend lists for that test case. Each line consists of the following integers, separated by spaces: <b>size</b>, <b>y<sub>0</sub></b>, <b>a</b>, <b>b</b>. The <b>size</b> is the number of friends in the friend list. <b>y<sub>0</sub></b> is the index in F of the first friend in the list. You must generate the remaining friends in the friend list <b>y<sub>1</sub></b>, &#x2026;, <b>y<sub>n-1</sub></b> according to the following formula:
+
+<blockquote>
+<b>y<sub>i</sub></b> = (<b>y<sub>i-1</sub></b> * <b>a</b> + <b>b</b>) mod <b>n</b>
+</blockquote>
+
+If a friend list contains more than one of a given index, consider it to only contain that index once.
+</p>
+
+<h2>Constraints</h2>
+<p>
+1 &le; <b>T</b> &le; 20<br/>
+2 &le; <b>n</b> &le; 50 000<br/>
+0 &le; <b>m</b> &le; 1 500<br/>
+0 &le; sum of sizes of all friend lists &le;  1 000 000<br>
+<b>Numbers used in generators:</b><br>
+0 &lt; <b>a</b>, <b>p</b> &lt; 2<sup>30</sup><br>
+0 &le; <b>b</b> &lt; 2<sup>30</sup>
+
+</p>
+
+<h3>Output</h3>
+<p>
+For each of the test cases numbered in order from <b>1</b> to <b>T</b>, output "Case #", followed by the case number, followed by ": ", followed by the maximum possible distance between the two closest user ids that you are still friends with for that case.
+</p>
diff --git a/2012/round3/unfriending.in b/2012/round3/unfriending.in
new file mode 100644
index 0000000000000000000000000000000000000000..a62aaf6413fddb7b841cfc794356368dd71518fa
--- /dev/null
+++ b/2012/round3/unfriending.in
@@ -0,0 +1,78418 @@
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diff --git a/2012/round3/unfriending.md b/2012/round3/unfriending.md
new file mode 100644
index 0000000000000000000000000000000000000000..f5a103cf5e6c8842b2c41496b3eb24d57a1b905a
--- /dev/null
+++ b/2012/round3/unfriending.md
@@ -0,0 +1,57 @@
+It's time to clean up your friends list after friending too many people on
+Facebook over the winter. The set of your friends' user ids is **F** =
+{**x0**, **x1**, ..., **xn-1**}. Each friend from **F** is on zero or more
+friend lists that you use to organize your friends. There are **M** friend
+lists, **c0**, **c1**, ..., **cm-1**. You can unfriend (remove from **F**)
+some of your friends, but because you want to stay in touch with people, you
+can only unfriend one person from each friend list. You may also choose not to
+unfriend anyone from friend list. Any friend that isn't on a friend list
+cannot be unfriended.
+
+Your goal is to find the maximum possible distance between the two friends
+whose user ids are the closest after you are done unfriending people. The
+distance between user id **x** and user id **y** is defined as
+abs(**x**-**y**).
+
+### Input
+
+The first line contains a positive integer **T**, the number of test cases.
+**T** test cases follow.
+
+The first line of each test case contains the number of friends **N**, and
+number of friend lists **M**, separated by a space. The second line contains
+**x0** and integer parameters **a**, **b**, and **p**, separated by spaces.
+You must use these to generate the remaining numbers **x1**, …, **xn-1**
+according to this formula:
+
+> **xi** = (**xi-1** * **a** \+ **b**) mod **p**
+
+The next M lines of each test case define the friend lists for that test case.
+Each line consists of the following integers, separated by spaces: **size**,
+**y0**, **a**, **b**. The **size** is the number of friends in the friend
+list. **y0** is the index in F of the first friend in the list. You must
+generate the remaining friends in the friend list **y1**, …, **yn-1**
+according to the following formula:
+
+> **yi** = (**yi-1** * **a** \+ **b**) mod **n**
+
+If a friend list contains more than one of a given index, consider it to only
+contain that index once.
+
+## Constraints
+
+1 ≤ **T** ≤ 20  
+2 ≤ **n** ≤ 50 000  
+0 ≤ **m** ≤ 1 500  
+0 ≤ sum of sizes of all friend lists ≤ 1 000 000  
+**Numbers used in generators:**  
+0 < **a**, **p** < 230  
+0 ≤ **b** < 230
+
+### Output
+
+For each of the test cases numbered in order from **1** to **T**, output "Case
+#", followed by the case number, followed by ": ", followed by the maximum
+possible distance between the two closest user ids that you are still friends
+with for that case.
+
diff --git a/2012/round3/unfriending.out b/2012/round3/unfriending.out
new file mode 100644
index 0000000000000000000000000000000000000000..44b76ed393d16678f15d72fee37d53f29ac8c5b5
--- /dev/null
+++ b/2012/round3/unfriending.out
@@ -0,0 +1,75 @@
+Case #1: 7392
+Case #2: 5130
+Case #3: 15318
+Case #4: 63175
+Case #5: 5814
+Case #6: 4
+Case #7: 3
+Case #8: 3
+Case #9: 6
+Case #10: 4
+Case #11: 3
+Case #12: 3
+Case #13: 6
+Case #14: 6
+Case #15: 6
+Case #16: 3
+Case #17: 3
+Case #18: 3
+Case #19: 3
+Case #20: 4
+Case #21: 3
+Case #22: 4
+Case #23: 5
+Case #24: 3
+Case #25: 7
+Case #26: 3
+Case #27: 10
+Case #28: 8
+Case #29: 3
+Case #30: 6
+Case #31: 9
+Case #32: 3
+Case #33: 3
+Case #34: 4
+Case #35: 6
+Case #36: 4
+Case #37: 3
+Case #38: 4
+Case #39: 3
+Case #40: 4
+Case #41: 4
+Case #42: 6
+Case #43: 4
+Case #44: 3
+Case #45: 6
+Case #46: 3
+Case #47: 6
+Case #48: 4
+Case #49: 7
+Case #50: 4
+Case #51: 3
+Case #52: 4
+Case #53: 5
+Case #54: 3
+Case #55: 3
+Case #56: 3
+Case #57: 4
+Case #58: 4
+Case #59: 6
+Case #60: 6
+Case #61: 3
+Case #62: 5
+Case #63: 3
+Case #64: 4
+Case #65: 4
+Case #66: 4
+Case #67: 3
+Case #68: 10
+Case #69: 6
+Case #70: 4
+Case #71: 6
+Case #72: 4
+Case #73: 5
+Case #74: 4
+Case #75: 3