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Turn Off The TV
[ "data structures", "sortings" ]
null
null
Luba needs your help again! Luba has *n* TV sets. She knows that *i*-th TV set will be working from moment of time *l**i* till moment *r**i*, inclusive. Luba wants to switch off one of TV sets in order to free the socket. Let's call some TV set redundant if after switching it off the number of integer moments of time ...
The first line contains one integer number *n* (1<=≤<=*n*<=≤<=2·105) — the number of TV sets. Then *n* lines follow, each of them containing two integer numbers *l**i*,<=*r**i* (0<=≤<=*l**i*<=≤<=*r**i*<=≤<=109) denoting the working time of *i*-th TV set.
If there is no any redundant TV set, print -1. Otherwise print the index of any redundant TV set (TV sets are indexed from 1 to *n*). If there are multiple answers, print any of them.
[ "3\n1 3\n4 6\n1 7\n", "2\n0 10\n0 10\n", "3\n1 2\n3 4\n6 8\n", "3\n1 2\n2 3\n3 4\n" ]
[ "1\n", "1\n", "-1\n", "2\n" ]
Consider the first sample. Initially all integer moments of time such that at least one TV set is working are from the segment [1;7]. It's easy to see that this segment won't change if we switch off the first TV set (or the second one). Note that in the fourth sample you can switch off the second TV set, since even wi...
[ { "input": "3\n1 3\n4 6\n1 7", "output": "1" }, { "input": "2\n0 10\n0 10", "output": "1" }, { "input": "3\n1 2\n3 4\n6 8", "output": "-1" }, { "input": "3\n1 2\n2 3\n3 4", "output": "2" }, { "input": "3\n0 500000000\n500000001 1000000000\n0 1000000000", "outp...
2,000
59,801,600
0
7,710
0
none
[ "none" ]
null
null
You've got array *A*, consisting of *n* integers and a positive integer *k*. Array *A* is indexed by integers from 1 to *n*. You need to permute the array elements so that value
The first line contains two integers *n*,<=*k* (2<=≤<=*n*<=≤<=3·105, 1<=≤<=*k*<=≤<=*min*(5000,<=*n*<=-<=1)). The second line contains *n* integers *A*[1],<=*A*[2],<=...,<=*A*[*n*] (<=-<=109<=≤<=*A*[*i*]<=≤<=109), separate by spaces — elements of the array *A*.
Print the minimum possible value of the sum described in the statement.
[ "3 2\n1 2 4\n", "5 2\n3 -5 3 -5 3\n", "6 3\n4 3 4 3 2 5\n" ]
[ "1\n", "0\n", "3\n" ]
In the first test one of the optimal permutations is 1 4 2. In the second test the initial order is optimal. In the third test one of the optimal permutations is 2 3 4 4 3 5.
[]
46
0
0
7,723
653
Bear and Forgotten Tree 2
[ "dfs and similar", "dsu", "graphs", "trees" ]
null
null
A tree is a connected undirected graph consisting of *n* vertices and *n*<=<=-<=<=1 edges. Vertices are numbered 1 through *n*. Limak is a little polar bear. He once had a tree with *n* vertices but he lost it. He still remembers something about the lost tree though. You are given *m* pairs of vertices (*a*1,<=*b*1),...
The first line of the input contains three integers *n*, *m* and *k* () — the number of vertices in Limak's tree, the number of forbidden pairs of vertices, and the degree of vertex 1, respectively. The *i*-th of next *m* lines contains two distinct integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=*a**i*<=≠...
Print "possible" (without quotes) if there exists at least one tree satisfying the given conditions. Otherwise, print "impossible" (without quotes).
[ "5 4 2\n1 2\n2 3\n4 2\n4 1\n", "6 5 3\n1 2\n1 3\n1 4\n1 5\n1 6\n" ]
[ "possible\n", "impossible\n" ]
In the first sample, there are *n* = 5 vertices. The degree of vertex 1 should be *k* = 2. All conditions are satisfied for a tree with edges 1 - 5, 5 - 2, 1 - 3 and 3 - 4. In the second sample, Limak remembers that none of the following edges existed: 1 - 2, 1 - 3, 1 - 4, 1 - 5 and 1 - 6. Hence, vertex 1 couldn't be ...
[ { "input": "5 4 2\n1 2\n2 3\n4 2\n4 1", "output": "possible" }, { "input": "6 5 3\n1 2\n1 3\n1 4\n1 5\n1 6", "output": "impossible" }, { "input": "4 3 2\n2 3\n2 4\n3 4", "output": "impossible" }, { "input": "4 2 2\n1 2\n1 3", "output": "impossible" }, { "input": "...
2,000
11,776,000
0
7,739
1,000
Codehorses T-shirts
[ "greedy", "implementation" ]
null
null
Codehorses has just hosted the second Codehorses Cup. This year, the same as the previous one, organizers are giving T-shirts for the winners. The valid sizes of T-shirts are either "M" or from $0$ to $3$ "X" followed by "S" or "L". For example, sizes "M", "XXS", "L", "XXXL" are valid and "XM", "Z", "XXXXL" are not. ...
The first line contains one integer $n$ ($1 \le n \le 100$) — the number of T-shirts. The $i$-th of the next $n$ lines contains $a_i$ — the size of the $i$-th T-shirt of the list for the previous year. The $i$-th of the next $n$ lines contains $b_i$ — the size of the $i$-th T-shirt of the list for the current year. ...
Print the minimal number of seconds Ksenia is required to spend to change the last year list to the current one. If the lists are already equal, print 0.
[ "3\nXS\nXS\nM\nXL\nS\nXS\n", "2\nXXXL\nXXL\nXXL\nXXXS\n", "2\nM\nXS\nXS\nM\n" ]
[ "2\n", "1\n", "0\n" ]
In the first example Ksenia can replace "M" with "S" and "S" in one of the occurrences of "XS" with "L". In the second example Ksenia should replace "L" in "XXXL" with "S". In the third example lists are equal.
[ { "input": "3\nXS\nXS\nM\nXL\nS\nXS", "output": "2" }, { "input": "2\nXXXL\nXXL\nXXL\nXXXS", "output": "1" }, { "input": "2\nM\nXS\nXS\nM", "output": "0" }, { "input": "1\nXXXL\nXXXL", "output": "0" }, { "input": "1\nM\nM", "output": "0" }, { "input": ...
92
0
3
7,759
18
Triangle
[ "brute force", "geometry" ]
A. Triangle
2
64
At a geometry lesson Bob learnt that a triangle is called right-angled if it is nondegenerate and one of its angles is right. Bob decided to draw such a triangle immediately: on a sheet of paper he drew three points with integer coordinates, and joined them with segments of straight lines, then he showed the triangle t...
The first input line contains 6 space-separated integers *x*1,<=*y*1,<=*x*2,<=*y*2,<=*x*3,<=*y*3 — coordinates of the triangle's vertices. All the coordinates are integer and don't exceed 100 in absolute value. It's guaranteed that the triangle is nondegenerate, i.e. its total area is not zero.
If the given triangle is right-angled, output RIGHT, if it is almost right-angled, output ALMOST, and if it is neither of these, output NEITHER.
[ "0 0 2 0 0 1\n", "2 3 4 5 6 6\n", "-1 0 2 0 0 1\n" ]
[ "RIGHT\n", "NEITHER\n", "ALMOST\n" ]
none
[ { "input": "0 0 2 0 0 1", "output": "RIGHT" }, { "input": "2 3 4 5 6 6", "output": "NEITHER" }, { "input": "-1 0 2 0 0 1", "output": "ALMOST" }, { "input": "27 74 85 23 100 99", "output": "NEITHER" }, { "input": "-97 -19 17 62 30 -76", "output": "NEITHER" },...
216
0
0
7,766
921
Labyrinth-5
[]
null
null
See the problem statement here: [http://codeforces.com/contest/921/problem/01](//codeforces.com/contest/921/problem/01).
none
none
[]
[]
none
[]
30
5,632,000
2
7,768
526
Om Nom and Candies
[ "brute force", "greedy", "math" ]
null
null
A sweet little monster Om Nom loves candies very much. One day he found himself in a rather tricky situation that required him to think a bit in order to enjoy candies the most. Would you succeed with the same task if you were on his place? One day, when he came to his friend Evan, Om Nom didn't find him at home but h...
The single line contains five integers *C*,<=*H**r*,<=*H**b*,<=*W**r*,<=*W**b* (1<=≤<=*C*,<=*H**r*,<=*H**b*,<=*W**r*,<=*W**b*<=≤<=109).
Print a single integer — the maximum number of joy units that Om Nom can get.
[ "10 3 5 2 3\n" ]
[ "16\n" ]
In the sample test Om Nom can eat two candies of each type and thus get 16 joy units.
[ { "input": "10 3 5 2 3", "output": "16" }, { "input": "5 3 1 6 7", "output": "0" }, { "input": "982068341 55 57 106 109", "output": "513558662" }, { "input": "930064129 32726326 25428197 83013449 64501049", "output": "363523396" }, { "input": "927155987 21197 1599...
312
2,457,600
3
7,773
48
Land Lot
[ "brute force", "implementation" ]
B. Land Lot
2
256
Vasya has a beautiful garden where wonderful fruit trees grow and yield fantastic harvest every year. But lately thieves started to sneak into the garden at nights and steal the fruit too often. Vasya can’t spend the nights in the garden and guard the fruit because there’s no house in the garden! Vasya had been saving ...
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=50) which represent the garden location. The next *n* lines contain *m* numbers 0 or 1, which describe the garden on the scheme. The zero means that a tree doesn’t grow on this square and the 1 means that there is a growing tree. The last line contai...
Print the minimum number of trees that needs to be chopped off to select a land lot *a*<=×<=*b* in size to build a house on. It is guaranteed that at least one lot location can always be found, i. e. either *a*<=≤<=*n* and *b*<=≤<=*m*, or *a*<=≤<=*m* и *b*<=≤<=*n*.
[ "2 2\n1 0\n1 1\n1 1\n", "4 5\n0 0 1 0 1\n0 1 1 1 0\n1 0 1 0 1\n1 1 1 1 1\n2 3\n" ]
[ "0\n", "2\n" ]
In the second example the upper left square is (1,1) and the lower right is (3,2).
[ { "input": "2 2\n1 0\n1 1\n1 1", "output": "0" }, { "input": "4 5\n0 0 1 0 1\n0 1 1 1 0\n1 0 1 0 1\n1 1 1 1 1\n2 3", "output": "2" }, { "input": "3 3\n0 0 0\n0 0 0\n0 0 0\n1 2", "output": "0" }, { "input": "3 3\n1 1 1\n1 1 1\n1 1 1\n2 1", "output": "2" }, { "input...
310
0
3.9225
7,785
940
Points on the line
[ "brute force", "greedy", "sortings" ]
null
null
We've got no test cases. A big olympiad is coming up. But the problemsetters' number one priority should be adding another problem to the round. The diameter of a multiset of points on the line is the largest distance between two points from this set. For example, the diameter of the multiset {1,<=3,<=2,<=1} is 2. D...
The first line contains two integers *n* and *d* (1<=≤<=*n*<=≤<=100,<=0<=≤<=*d*<=≤<=100) — the amount of points and the maximum allowed diameter respectively. The second line contains *n* space separated integers (1<=≤<=*x**i*<=≤<=100) — the coordinates of the points.
Output a single integer — the minimum number of points you have to remove.
[ "3 1\n2 1 4\n", "3 0\n7 7 7\n", "6 3\n1 3 4 6 9 10\n" ]
[ "1\n", "0\n", "3\n" ]
In the first test case the optimal strategy is to remove the point with coordinate 4. The remaining points will have coordinates 1 and 2, so the diameter will be equal to 2 - 1 = 1. In the second test case the diameter is equal to 0, so its is unnecessary to remove any points. In the third test case the optimal stra...
[ { "input": "3 1\n2 1 4", "output": "1" }, { "input": "3 0\n7 7 7", "output": "0" }, { "input": "6 3\n1 3 4 6 9 10", "output": "3" }, { "input": "11 5\n10 11 12 13 14 15 16 17 18 19 20", "output": "5" }, { "input": "1 100\n1", "output": "0" }, { "input"...
77
0
3
7,788
288
Polo the Penguin and XOR operation
[ "implementation", "math" ]
null
null
Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to *n*, inclusive. For permutation *p*<==<=*p*0,<=*p*1,<=...,<=*p**n*, Polo has defined its beauty — number . Expression means applying the operation of bitwise excluding "OR" to numbers *x* and *y*. This operation exist...
The single line contains a positive integer *n* (1<=≤<=*n*<=≤<=106).
In the first line print integer *m* the maximum possible beauty. In the second line print any permutation of integers from 0 to *n* with the beauty equal to *m*. If there are several suitable permutations, you are allowed to print any of them.
[ "4\n" ]
[ "20\n0 2 1 4 3\n" ]
none
[ { "input": "4", "output": "20\n0 2 1 4 3" }, { "input": "7", "output": "56\n7 6 5 4 3 2 1 0" }, { "input": "1", "output": "2\n1 0" }, { "input": "2", "output": "6\n0 2 1" }, { "input": "3", "output": "12\n3 2 1 0" }, { "input": "8", "output": "72\n...
2,000
0
0
7,815
505
Mr. Kitayuta's Colorful Graph
[ "dfs and similar", "dp", "dsu", "graphs" ]
null
null
Mr. Kitayuta has just bought an undirected graph consisting of *n* vertices and *m* edges. The vertices of the graph are numbered from 1 to *n*. Each edge, namely edge *i*, has a color *c**i*, connecting vertex *a**i* and *b**i*. Mr. Kitayuta wants you to process the following *q* queries. In the *i*-th query, he giv...
The first line of the input contains space-separated two integers — *n* and *m* (2<=≤<=*n*<=≤<=100,<=1<=≤<=*m*<=≤<=100), denoting the number of the vertices and the number of the edges, respectively. The next *m* lines contain space-separated three integers — *a**i*, *b**i* (1<=≤<=*a**i*<=&lt;<=*b**i*<=≤<=*n*) and *c*...
For each query, print the answer in a separate line.
[ "4 5\n1 2 1\n1 2 2\n2 3 1\n2 3 3\n2 4 3\n3\n1 2\n3 4\n1 4\n", "5 7\n1 5 1\n2 5 1\n3 5 1\n4 5 1\n1 2 2\n2 3 2\n3 4 2\n5\n1 5\n5 1\n2 5\n1 5\n1 4\n" ]
[ "2\n1\n0\n", "1\n1\n1\n1\n2\n" ]
Let's consider the first sample. - Vertex 1 and vertex 2 are connected by color 1 and 2. - Vertex 3 and vertex 4 are connected by color 3. - Vertex 1 and vertex 4 are not connected by any single color.
[ { "input": "4 5\n1 2 1\n1 2 2\n2 3 1\n2 3 3\n2 4 3\n3\n1 2\n3 4\n1 4", "output": "2\n1\n0" }, { "input": "5 7\n1 5 1\n2 5 1\n3 5 1\n4 5 1\n1 2 2\n2 3 2\n3 4 2\n5\n1 5\n5 1\n2 5\n1 5\n1 4", "output": "1\n1\n1\n1\n2" }, { "input": "2 1\n1 2 1\n1\n1 2", "output": "1" }, { "input...
170
2,355,200
3
7,829
3
Lorry
[ "greedy", "sortings" ]
B. Lorry
2
64
A group of tourists is going to kayak and catamaran tour. A rented lorry has arrived to the boat depot to take kayaks and catamarans to the point of departure. It's known that all kayaks are of the same size (and each of them occupies the space of 1 cubic metre), and all catamarans are of the same size, but two times b...
The first line contains a pair of integer numbers *n* and *v* (1<=≤<=*n*<=≤<=105; 1<=≤<=*v*<=≤<=109), where *n* is the number of waterborne vehicles in the boat depot, and *v* is the truck body volume of the lorry in cubic metres. The following *n* lines contain the information about the waterborne vehicles, that is a ...
In the first line print the maximum possible carrying capacity of the set. In the second line print a string consisting of the numbers of the vehicles that make the optimal set. If the answer is not unique, print any of them.
[ "3 2\n1 2\n2 7\n1 3\n" ]
[ "7\n2\n" ]
none
[ { "input": "3 2\n1 2\n2 7\n1 3", "output": "7\n2" }, { "input": "5 3\n1 9\n2 9\n1 9\n2 10\n1 6", "output": "24\n3 1 5" }, { "input": "10 10\n1 14\n2 15\n2 11\n2 12\n2 9\n1 14\n2 15\n1 9\n2 11\n2 6", "output": "81\n6 1 7 2 4 9" }, { "input": "20 19\n2 47\n1 37\n1 48\n2 42\n2 4...
60
0
0
7,883
0
none
[ "none" ]
null
null
Вася купил стол, у которого *n* ножек. Каждая ножка состоит из двух частей, которые соединяются друг с другом. Каждая часть может быть произвольной положительной длины, но гарантируется, что из всех 2*n* частей возможно составить *n* ножек одинаковой длины. При составлении ножки любые две части могут быть соединены дру...
В первой строке задано число *n* (1<=≤<=*n*<=≤<=1000) — количество ножек у стола, купленного Васей. Во второй строке следует последовательность из 2*n* целых положительных чисел *a*1,<=*a*2,<=...,<=*a*2*n* (1<=≤<=*a**i*<=≤<=100<=000) — длины частей ножек стола в произвольном порядке.
Выведите *n* строк по два целых числа в каждой — длины частей ножек, которые надо соединить друг с другом. Гарантируется, что всегда возможно собрать *n* ножек одинаковой длины. Если ответов несколько, разрешается вывести любой из них.
[ "3\n1 3 2 4 5 3\n", "3\n1 1 1 2 2 2\n" ]
[ "1 5\n2 4\n3 3\n", "1 2\n2 1\n1 2\n" ]
none
[ { "input": "3\n1 3 2 4 5 3", "output": "1 5\n2 4\n3 3" }, { "input": "3\n1 1 1 2 2 2", "output": "1 2\n1 2\n1 2" }, { "input": "1\n3 7", "output": "3 7" }, { "input": "10\n9 13 18 7 18 13 2 2 5 16 3 17 5 4 18 2 15 11 7 15", "output": "2 18\n2 18\n2 18\n3 17\n4 16\n5 15\n5...
608
5,529,600
3
7,886
582
Once Again...
[ "constructive algorithms", "dp", "matrices" ]
null
null
You are given an array of positive integers *a*1,<=*a*2,<=...,<=*a**n*<=×<=*T* of length *n*<=×<=*T*. We know that for any *i*<=&gt;<=*n* it is true that *a**i*<==<=*a**i*<=-<=*n*. Find the length of the longest non-decreasing sequence of the given array.
The first line contains two space-separated integers: *n*, *T* (1<=≤<=*n*<=≤<=100, 1<=≤<=*T*<=≤<=107). The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=300).
Print a single number — the length of a sought sequence.
[ "4 3\n3 1 4 2\n" ]
[ "5\n" ]
The array given in the sample looks like that: 3, 1, 4, 2, 3, 1, 4, 2, 3, 1, 4, 2. The elements in bold form the largest non-decreasing subsequence.
[ { "input": "4 3\n3 1 4 2", "output": "5" }, { "input": "1 1000\n42", "output": "1000" }, { "input": "31 3767\n16 192 152 78 224 202 186 52 118 19 13 38 199 196 35 295 100 64 205 37 166 124 169 214 66 243 134 192 253 270 92", "output": "7546" }, { "input": "15 12226\n18 125 21...
0
0
-1
7,894
696
Puzzles
[ "dfs and similar", "math", "probabilities", "trees" ]
null
null
Barney lives in country USC (United States of Charzeh). USC has *n* cities numbered from 1 through *n* and *n*<=-<=1 roads between them. Cities and roads of USC form a rooted tree (Barney's not sure why it is rooted). Root of the tree is the city number 1. Thus if one will start his journey from city 1, he can visit an...
The first line of input contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the number of cities in USC. The second line contains *n*<=-<=1 integers *p*2,<=*p*3,<=...,<=*p**n* (1<=≤<=*p**i*<=&lt;<=*i*), where *p**i* is the number of the parent city of city number *i* in the tree, meaning there is a road between cities...
In the first and only line of output print *n* numbers, where *i*-th number is the expected value of starting_time[i]. Your answer for each city will be considered correct if its absolute or relative error does not exceed 10<=-<=6.
[ "7\n1 2 1 1 4 4\n", "12\n1 1 2 2 4 4 3 3 1 10 8\n" ]
[ "1.0 4.0 5.0 3.5 4.5 5.0 5.0 \n", "1.0 5.0 5.5 6.5 7.5 8.0 8.0 7.0 7.5 6.5 7.5 8.0 \n" ]
none
[ { "input": "7\n1 2 1 1 4 4", "output": "1.0 4.0 5.0 3.5 4.5 5.0 5.0 " }, { "input": "12\n1 1 2 2 4 4 3 3 1 10 8", "output": "1.0 5.0 5.5 6.5 7.5 8.0 8.0 7.0 7.5 6.5 7.5 8.0 " }, { "input": "3\n1 2", "output": "1.0 2.0 3.0 " }, { "input": "8\n1 1 2 2 3 6 1", "output": "1.0...
1,000
5,939,200
0
7,896
702
Cellular Network
[ "binary search", "implementation", "two pointers" ]
null
null
You are given *n* points on the straight line — the positions (*x*-coordinates) of the cities and *m* points on the same line — the positions (*x*-coordinates) of the cellular towers. All towers work in the same way — they provide cellular network for all cities, which are located at the distance which is no more than ...
The first line contains two positive integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=105) — the number of cities and the number of cellular towers. The second line contains a sequence of *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=109<=≤<=*a**i*<=≤<=109) — the coordinates of cities. It is allowed that there are any number...
Print minimal *r* so that each city will be covered by cellular network.
[ "3 2\n-2 2 4\n-3 0\n", "5 3\n1 5 10 14 17\n4 11 15\n" ]
[ "4\n", "3\n" ]
none
[ { "input": "3 2\n-2 2 4\n-3 0", "output": "4" }, { "input": "5 3\n1 5 10 14 17\n4 11 15", "output": "3" }, { "input": "1 1\n-1000000000\n1000000000", "output": "2000000000" }, { "input": "1 1\n1000000000\n-1000000000", "output": "2000000000" }, { "input": "10 10\n...
92
2,048,000
-1
7,916
154
Hometask
[ "greedy" ]
null
null
Sergey attends lessons of the *N*-ish language. Each lesson he receives a hometask. This time the task is to translate some sentence to the *N*-ish language. Sentences of the *N*-ish language can be represented as strings consisting of lowercase Latin letters without spaces or punctuation marks. Sergey totally forgot ...
The first line contains a non-empty string *s*, consisting of lowercase Latin letters — that's the initial sentence in *N*-ish, written by Sergey. The length of string *s* doesn't exceed 105. The next line contains integer *k* (0<=≤<=*k*<=≤<=13) — the number of forbidden pairs of letters. Next *k* lines contain descr...
Print the single number — the smallest number of letters that need to be removed to get a string without any forbidden pairs of neighboring letters. Please note that the answer always exists as it is always possible to remove all letters.
[ "ababa\n1\nab\n", "codeforces\n2\ndo\ncs\n" ]
[ "2\n", "1\n" ]
In the first sample you should remove two letters b. In the second sample you should remove the second or the third letter. The second restriction doesn't influence the solution.
[ { "input": "ababa\n1\nab", "output": "2" }, { "input": "codeforces\n2\ndo\ncs", "output": "1" }, { "input": "nllnrlrnll\n1\nrl", "output": "1" }, { "input": "aludfbjtwnkgnfl\n1\noy", "output": "0" }, { "input": "pgpgppgggpbbnnn\n2\npg\nnb", "output": "7" }, ...
216
2,662,400
3
7,949
896
Ithea Plays With Chtholly
[ "binary search", "constructive algorithms", "games", "greedy", "interactive" ]
null
null
This is an interactive problem. Refer to the Interaction section below for better understanding. Ithea and Chtholly want to play a game in order to determine who can use the kitchen tonight. Initially, Ithea puts *n* clear sheets of paper in a line. They are numbered from 1 to *n* from left to right. This game wil...
The first line contains 3 integers *n*,<=*m* and *c* (, means rounded up) — the number of sheets, the number of rounds and the largest possible number Ithea can give to Chtholly respectively. The remaining parts of input are given throughout the interaction process.
none
[ "2 4 4\n2\n1\n3\n" ]
[ "1\n2\n2\n" ]
In the example, Chtholly initially knew there were 2 sheets, 4 rounds and each number was between 1 and 4. She then received a 2 and decided to write it in the 1st sheet. Then she received a 1 and wrote it in the 2nd sheet. At last, she received a 3 and replaced 1 with 3 in the 2nd sheet. At this time all the sheets we...
[ { "input": "2 4 4\n2\n1\n3\n4", "output": "3" }, { "input": "2 2 2\n1\n2", "output": "2" }, { "input": "3 6 3\n1\n2\n1\n3\n1\n3", "output": "3" }, { "input": "4 8 4\n4\n4\n4\n4\n4\n4\n4\n4", "output": "4" }, { "input": "10 120 15\n6\n11\n9\n11\n3\n12\n11\n12\n2\n8...
109
4,608,000
0
7,960
779
Weird Rounding
[ "brute force", "greedy" ]
null
null
Polycarp is crazy about round numbers. He especially likes the numbers divisible by 10*k*. In the given number of *n* Polycarp wants to remove the least number of digits to get a number that is divisible by 10*k*. For example, if *k*<==<=3, in the number 30020 it is enough to delete a single digit (2). In this case, t...
The only line of the input contains two integer numbers *n* and *k* (0<=≤<=*n*<=≤<=2<=000<=000<=000, 1<=≤<=*k*<=≤<=9). It is guaranteed that the answer exists. All numbers in the input are written in traditional notation of integers, that is, without any extra leading zeros.
Print *w* — the required minimal number of digits to erase. After removing the appropriate *w* digits from the number *n*, the result should have a value that is divisible by 10*k*. The result can start with digit 0 in the single case (the result is zero and written by exactly the only digit 0).
[ "30020 3\n", "100 9\n", "10203049 2\n" ]
[ "1\n", "2\n", "3\n" ]
In the example 2 you can remove two digits: 1 and any 0. The result is number 0 which is divisible by any number.
[ { "input": "30020 3", "output": "1" }, { "input": "100 9", "output": "2" }, { "input": "10203049 2", "output": "3" }, { "input": "0 1", "output": "0" }, { "input": "0 9", "output": "0" }, { "input": "100 2", "output": "0" }, { "input": "102...
62
4,608,000
3
7,964
45
Planting Trees
[ "constructive algorithms" ]
J. Planting Trees
2
256
Vasya is a Greencode wildlife preservation society proponent. One day he found an empty field nobody owned, divided it into *n*<=×<=*m* squares and decided to plant a forest there. Vasya will plant *nm* trees of all different heights from 1 to *nm*. For his forest to look more natural he wants any two trees growing in ...
The first line contains two space-separated integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of rows and columns on Vasya's field
If there's no solution, print -1. Otherwise, print *n* lines containing *m* numbers each — the trees' planting plan. In every square of the plan the height of a tree that should be planted on this square should be written. If there are several solutions to that problem, print any of them.
[ "2 3\n", "2 1\n" ]
[ "3 6 2\n5 1 4\n", "-1\n" ]
none
[ { "input": "2 3", "output": "4 1 5 \n2 6 3 " }, { "input": "2 1", "output": "-1" }, { "input": "1 1", "output": "1 " }, { "input": "1 2", "output": "-1" }, { "input": "1 3", "output": "-1" }, { "input": "1 4", "output": "3 1 4 2 " }, { "inp...
124
7,065,600
-1
7,966
746
New Roads
[ "constructive algorithms", "graphs", "trees" ]
null
null
There are *n* cities in Berland, each of them has a unique id — an integer from 1 to *n*, the capital is the one with id 1. Now there is a serious problem in Berland with roads — there are no roads. That is why there was a decision to build *n*<=-<=1 roads so that there will be exactly one simple path between each pai...
The first line contains three positive numbers *n*, *t* and *k* (2<=≤<=*n*<=≤<=2·105, 1<=≤<=*t*,<=*k*<=&lt;<=*n*) — the distance to the most distant city from the capital and the number of cities which should be dead-ends (the capital in this number is not taken into consideration). The second line contains a sequenc...
If it is impossible to built roads which satisfy all conditions, print -1. Otherwise, in the first line print one integer *n* — the number of cities in Berland. In the each of the next *n*<=-<=1 line print two integers — the ids of cities that are connected by a road. Each road should be printed exactly once. You can ...
[ "7 3 3\n2 3 1\n", "14 5 6\n4 4 2 2 1\n", "3 1 1\n2\n" ]
[ "7\n1 3\n2 1\n2 6\n2 4\n7 4\n3 5\n", "14\n3 1\n1 4\n11 6\n1 2\n10 13\n6 10\n10 12\n14 12\n8 4\n5 1\n3 7\n2 6\n5 9\n", "-1\n" ]
none
[ { "input": "7 3 3\n2 3 1", "output": "7\n1 2\n2 6\n5 3\n2 4\n1 3\n7 4" }, { "input": "14 5 6\n4 4 2 2 1", "output": "14\n12 14\n7 3\n6 10\n5 1\n13 10\n1 3\n8 4\n9 5\n4 1\n6 2\n12 10\n6 11\n2 1" }, { "input": "3 1 1\n2", "output": "-1" }, { "input": "6 3 3\n1 2 2", "output...
46
2,764,800
0
7,972
66
Petya and Java
[ "implementation", "strings" ]
A. Petya and Java
2
256
Little Petya has recently started attending a programming club. Naturally he is facing the problem of choosing a programming language. After long considerations he realized that Java is the best choice. The main argument in favor of choosing Java was that it has a very large integer data type, called BigInteger. But h...
The first line contains a positive number *n*. It consists of no more than 100 digits and doesn't contain any leading zeros. The number *n* can't be represented as an empty string. Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d).
Print the first type from the list "byte, short, int, long, BigInteger", that can store the natural number *n*, in accordance with the data given above.
[ "127\n", "130\n", "123456789101112131415161718192021222324\n" ]
[ "byte\n", "short\n", "BigInteger\n" ]
none
[ { "input": "127", "output": "byte" }, { "input": "130", "output": "short" }, { "input": "123456789101112131415161718192021222324", "output": "BigInteger" }, { "input": "6", "output": "byte" }, { "input": "16", "output": "byte" }, { "input": "126", ...
62
0
0
7,980
250
Building Bridge
[ "geometry", "ternary search", "two pointers" ]
null
null
Two villages are separated by a river that flows from the north to the south. The villagers want to build a bridge across the river to make it easier to move across the villages. The river banks can be assumed to be vertical straight lines *x*<==<=*a* and *x*<==<=*b* (0<=&lt;<=*a*<=&lt;<=*b*). The west village lies i...
The first line contains integers *n*, *m*, *a*, *b* (1<=≤<=*n*,<=*m*<=≤<=105, 0<=&lt;<=*a*<=&lt;<=*b*<=&lt;<=106). The second line contains *n* integers in the ascending order: the *i*-th integer determines the coordinate of point *A**i* and equals *y**i* (|*y**i*|<=≤<=106). The third line contains *m* integers in ...
Print two integers — the numbers of points on the left (west) and right (east) banks, respectively, between which you need to build a bridge. You can assume that the points on the west bank are numbered from 1 to *n*, in the order in which they are given in the input. Similarly, the points on the east bank are numbered...
[ "3 2 3 5\n-2 -1 4\n-1 2\n7 3\n" ]
[ "2 2" ]
none
[ { "input": "3 2 3 5\n-2 -1 4\n-1 2\n7 3", "output": "2 2" }, { "input": "1 1 10 20\n5\n-5\n1", "output": "1 1" }, { "input": "2 2 1 2\n-1 10\n8 9\n3 7", "output": "1 1" }, { "input": "10 20 50 60\n-96 -75 32 37 42 43 44 57 61 65\n-95 -90 -86 -79 -65 -62 -47 -11 -8 -6 1 8 23 2...
1,000
11,571,200
0
7,982
243
The Brand New Function
[ "bitmasks" ]
null
null
Polycarpus has a sequence, consisting of *n* non-negative integers: *a*1,<=*a*2,<=...,<=*a**n*. Let's define function *f*(*l*,<=*r*) (*l*,<=*r* are integer, 1<=≤<=*l*<=≤<=*r*<=≤<=*n*) for sequence *a* as an operation of bitwise OR of all the sequence elements with indexes from *l* to *r*. Formally: *f*(*l*,<=*r*)<==<=...
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of elements of sequence *a*. The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=106) — the elements of sequence *a*.
Print a single integer — the number of distinct values of function *f*(*l*,<=*r*) for the given sequence *a*. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier.
[ "3\n1 2 0\n", "10\n1 2 3 4 5 6 1 2 9 10\n" ]
[ "4", "11" ]
In the first test case Polycarpus will have 6 numbers written on the paper: *f*(1, 1) = 1, *f*(1, 2) = 3, *f*(1, 3) = 3, *f*(2, 2) = 2, *f*(2, 3) = 2, *f*(3, 3) = 0. There are exactly 4 distinct numbers among them: 0, 1, 2, 3.
[ { "input": "3\n1 2 0", "output": "4" }, { "input": "10\n1 2 3 4 5 6 1 2 9 10", "output": "11" }, { "input": "1\n123", "output": "1" }, { "input": "10\n6 8 4 5 1 9 10 2 3 7", "output": "15" }, { "input": "7\n1 2 4 8 16 32 64", "output": "28" }, { "input...
2,000
10,547,200
0
8,011
555
Case of Matryoshkas
[ "implementation" ]
null
null
Andrewid the Android is a galaxy-famous detective. He is now investigating the case of vandalism at the exhibition of contemporary art. The main exhibit is a construction of *n* matryoshka dolls that can be nested one into another. The matryoshka dolls are numbered from 1 to *n*. A matryoshka with a smaller number can...
The first line contains integers *n* (1<=≤<=*n*<=≤<=105) and *k* (1<=≤<=*k*<=≤<=105) — the number of matryoshkas and matryoshka chains in the initial configuration. The next *k* lines contain the descriptions of the chains: the *i*-th line first contains number *m**i* (1<=≤<=*m**i*<=≤<=*n*), and then *m**i* numbers *a...
In the single line print the minimum number of seconds needed to assemble one large chain from the initial configuration.
[ "3 2\n2 1 2\n1 3\n", "7 3\n3 1 3 7\n2 2 5\n2 4 6\n" ]
[ "1\n", "10\n" ]
In the first sample test there are two chains: 1 → 2 and 3. In one second you can nest the first chain into the second one and get 1 → 2 → 3. In the second sample test you need to disassemble all the three chains into individual matryoshkas in 2 + 1 + 1 = 4 seconds and then assemble one big chain in 6 seconds.
[ { "input": "3 2\n2 1 2\n1 3", "output": "1" }, { "input": "7 3\n3 1 3 7\n2 2 5\n2 4 6", "output": "10" }, { "input": "1 1\n1 1", "output": "0" }, { "input": "3 2\n1 2\n2 1 3", "output": "3" }, { "input": "5 3\n1 4\n3 1 2 3\n1 5", "output": "2" }, { "in...
358
8,294,400
3
8,030
923
Primal Sport
[ "math", "number theory" ]
null
null
Alice and Bob begin their day with a quick game. They first choose a starting number *X*0<=≥<=3 and try to reach one million by the process described below. Alice goes first and then they take alternating turns. In the *i*-th turn, the player whose turn it is selects a prime number smaller than the current number, an...
The input contains a single integer *X*2 (4<=≤<=*X*2<=≤<=106). It is guaranteed that the integer *X*2 is composite, that is, is not prime.
Output a single integer — the minimum possible *X*0.
[ "14\n", "20\n", "8192\n" ]
[ "6\n", "15\n", "8191\n" ]
In the first test, the smallest possible starting number is *X*<sub class="lower-index">0</sub> = 6. One possible course of the game is as follows: - Alice picks prime 5 and announces *X*<sub class="lower-index">1</sub> = 10 - Bob picks prime 7 and announces *X*<sub class="lower-index">2</sub> = 14. In the second ...
[ { "input": "14", "output": "6" }, { "input": "20", "output": "15" }, { "input": "8192", "output": "8191" }, { "input": "1000000", "output": "998677" }, { "input": "959806", "output": "239958" }, { "input": "1452", "output": "1206" }, { "inp...
982
9,113,600
3
8,051
0
none
[ "none" ]
null
null
Arkady decides to observe a river for *n* consecutive days. The river's water level on each day is equal to some real value. Arkady goes to the riverside each day and makes a mark on the side of the channel at the height of the water level, but if it coincides with a mark made before, no new mark is created. The water...
The first line contains a single positive integer *n* (1<=≤<=*n*<=≤<=105) — the number of days. The second line contains *n* space-separated integers *m*1,<=*m*2,<=...,<=*m**n* (0<=≤<=*m**i*<=&lt;<=*i*) — the number of marks strictly above the water on each day.
Output one single integer — the minimum possible sum of the number of marks strictly below the water level among all days.
[ "6\n0 1 0 3 0 2\n", "5\n0 1 2 1 2\n", "5\n0 1 1 2 2\n" ]
[ "6\n", "1\n", "0\n" ]
In the first example, the following figure shows an optimal case. Note that on day 3, a new mark should be created because if not, there cannot be 3 marks above water on day 4. The total number of marks underwater is 0 + 0 + 2 + 0 + 3 + 1 = 6. In the second example, the following figure shows an optimal case.
[ { "input": "6\n0 1 0 3 0 2", "output": "6" }, { "input": "5\n0 1 2 1 2", "output": "1" }, { "input": "5\n0 1 1 2 2", "output": "0" }, { "input": "1\n0", "output": "0" }, { "input": "100\n0 1 2 2 3 0 1 5 6 6 0 0 8 7 1 9 9 4 10 11 12 2 12 12 12 12 9 13 14 8 15 15 15...
233
14,848,000
3
8,061
990
Post Lamps
[ "brute force", "greedy" ]
null
null
Adilbek's house is located on a street which can be represented as the OX axis. This street is really dark, so Adilbek wants to install some post lamps to illuminate it. Street has $n$ positions to install lamps, they correspond to the integer numbers from $0$ to $n - 1$ on the OX axis. However, some positions are bloc...
The first line contains three integer numbers $n$, $m$ and $k$ ($1 \le k \le n \le 10^6$, $0 \le m \le n$) — the length of the segment of the street Adilbek wants to illuminate, the number of the blocked positions and the maximum power of the post lamp available. The second line contains $m$ integer numbers $s_1, s_2,...
Print the minimal total cost of the post lamps of exactly one type Adilbek can buy to illuminate the entire segment $[0; n]$ of the street. If illumintaing the entire segment $[0; n]$ is impossible, print -1.
[ "6 2 3\n1 3\n1 2 3\n", "4 3 4\n1 2 3\n1 10 100 1000\n", "5 1 5\n0\n3 3 3 3 3\n", "7 4 3\n2 4 5 6\n3 14 15\n" ]
[ "6\n", "1000\n", "-1\n", "-1\n" ]
none
[ { "input": "6 2 3\n1 3\n1 2 3", "output": "6" }, { "input": "4 3 4\n1 2 3\n1 10 100 1000", "output": "1000" }, { "input": "5 1 5\n0\n3 3 3 3 3", "output": "-1" }, { "input": "7 4 3\n2 4 5 6\n3 14 15", "output": "-1" }, { "input": "1 0 1\n\n1000000", "output": ...
1,606
88,064,000
0
8,095
711
Chris and Magic Square
[ "constructive algorithms", "implementation" ]
null
null
ZS the Coder and Chris the Baboon arrived at the entrance of Udayland. There is a *n*<=×<=*n* magic grid on the entrance which is filled with integers. Chris noticed that exactly one of the cells in the grid is empty, and to enter Udayland, they need to fill a positive integer into the empty cell. Chris tried filling ...
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=500) — the number of rows and columns of the magic grid. *n* lines follow, each of them contains *n* integers. The *j*-th number in the *i*-th of them denotes *a**i*,<=*j* (1<=≤<=*a**i*,<=*j*<=≤<=109 or *a**i*,<=*j*<==<=0), the number in the *i*-...
Output a single integer, the positive integer *x* (1<=≤<=*x*<=≤<=1018) that should be filled in the empty cell so that the whole grid becomes a magic square. If such positive integer *x* does not exist, output <=-<=1 instead. If there are multiple solutions, you may print any of them.
[ "3\n4 0 2\n3 5 7\n8 1 6\n", "4\n1 1 1 1\n1 1 0 1\n1 1 1 1\n1 1 1 1\n", "4\n1 1 1 1\n1 1 0 1\n1 1 2 1\n1 1 1 1\n" ]
[ "9\n", "1\n", "-1\n" ]
In the first sample case, we can fill in 9 into the empty cell to make the resulting grid a magic square. Indeed, The sum of numbers in each row is: 4 + 9 + 2 = 3 + 5 + 7 = 8 + 1 + 6 = 15. The sum of numbers in each column is: 4 + 3 + 8 = 9 + 5 + 1 = 2 + 7 + 6 = 15. The sum of numbers in the two diagonals is: 4 ...
[ { "input": "3\n4 0 2\n3 5 7\n8 1 6", "output": "9" }, { "input": "4\n1 1 1 1\n1 1 0 1\n1 1 1 1\n1 1 1 1", "output": "1" }, { "input": "4\n1 1 1 1\n1 1 0 1\n1 1 2 1\n1 1 1 1", "output": "-1" }, { "input": "1\n0", "output": "1" }, { "input": "10\n92 67 99 74 1 51 8 ...
0
0
-1
8,108
518
Anya and Smartphone
[ "constructive algorithms", "data structures", "implementation" ]
null
null
Anya has bought a new smartphone that uses Berdroid operating system. The smartphone menu has exactly *n* applications, each application has its own icon. The icons are located on different screens, one screen contains *k* icons. The icons from the first to the *k*-th one are located on the first screen, from the (*k*<...
The first line of the input contains three numbers *n*,<=*m*,<=*k* (1<=≤<=*n*,<=*m*,<=*k*<=≤<=105) — the number of applications that Anya has on her smartphone, the number of applications that will be launched and the number of icons that are located on the same screen. The next line contains *n* integers, permutation...
Print a single number — the number of gestures that Anya needs to make to launch all the applications in the desired order.
[ "8 3 3\n1 2 3 4 5 6 7 8\n7 8 1\n", "5 4 2\n3 1 5 2 4\n4 4 4 4\n" ]
[ "7\n", "8\n" ]
In the first test the initial configuration looks like (123)(456)(78), that is, the first screen contains icons of applications 1, 2, 3, the second screen contains icons 4, 5, 6, the third screen contains icons 7, 8. After application 7 is launched, we get the new arrangement of the icons — (123)(457)(68). To launch ...
[ { "input": "8 3 3\n1 2 3 4 5 6 7 8\n7 8 1", "output": "7" }, { "input": "5 4 2\n3 1 5 2 4\n4 4 4 4", "output": "8" }, { "input": "10 10 3\n1 2 3 4 5 6 7 8 9 10\n2 3 4 5 6 7 8 9 10 1", "output": "25" }, { "input": "10 12 3\n6 1 2 9 3 10 8 5 7 4\n3 9 9 4 8 2 3 8 10 8 3 4", ...
327
15,769,600
3
8,109
883
Automatic Door
[ "implementation" ]
null
null
There is an automatic door at the entrance of a factory. The door works in the following way: - when one or several people come to the door and it is closed, the door immediately opens automatically and all people immediately come inside, - when one or several people come to the door and it is open, all people immed...
The first line contains four integers *n*, *m*, *a* and *d* (1<=≤<=*n*,<=*a*<=≤<=109, 1<=≤<=*m*<=≤<=105, 1<=≤<=*d*<=≤<=1018) — the number of the employees, the number of the clients, the moment of time when the first employee will come and the period of time in which the door closes. The second line contains integer s...
Print the number of times the door will open.
[ "1 1 3 4\n7\n", "4 3 4 2\n7 9 11\n" ]
[ "1\n", "4\n" ]
In the first example the only employee will come at moment 3. At this moment the door will open and will stay open until the moment 7. At the same moment of time the client will come, so at first he will enter and only after it the door will close. Thus the door will open one time.
[ { "input": "1 1 3 4\n7", "output": "1" }, { "input": "4 3 4 2\n7 9 11", "output": "4" }, { "input": "10 10 51 69\n154 170 170 183 251 337 412 426 445 452", "output": "6" }, { "input": "70 10 26 17\n361 371 579 585 629 872 944 1017 1048 1541", "output": "70" }, { "...
46
0
0
8,131
0
none
[ "none" ]
null
null
PMP is getting a warrior. He is practicing a lot, but the results are not acceptable yet. This time instead of programming contests, he decided to compete in a car racing to increase the spirit of victory. He decides to choose a competition that also exhibits algorithmic features. AlgoRace is a special league of car r...
The first line contains three space-separated integers *n*,<=*m*,<=*r* (2<=≤<=*n*<=≤<=60,<=1<=≤<=*m*<=≤<=60,<=1<=≤<=*r*<=≤<=105) — the number of cities, the number of different types of cars and the number of rounds in the competition, correspondingly. Next *m* sets of *n*<=×<=*n* matrices of integers between 0 to 106...
For each round you should print the minimum required time to complete the round in a single line.
[ "4 2 3\n0 1 5 6\n2 0 3 6\n1 3 0 1\n6 6 7 0\n0 3 5 6\n2 0 1 6\n1 3 0 2\n6 6 7 0\n1 4 2\n1 4 1\n1 4 3\n", "4 2 3\n0 7 3 3\n8 0 10 5\n1 1 0 4\n8 9 2 0\n0 3 3 9\n7 0 4 9\n3 8 0 4\n4 8 9 0\n2 3 3\n2 1 3\n1 2 2\n" ]
[ "3\n4\n3\n", "4\n5\n3\n" ]
In the first sample, in all rounds PMP goes from city #1 to city #2, then city #3 and finally city #4. But the sequences of types of the cars he uses are (1, 2, 1) in the first round and (1, 2, 2) in the second round. In the third round, although he can change his car three times, he uses the same strategy as the first...
[]
62
0
0
8,132
771
Bear and Rectangle Strips
[ "dp", "greedy" ]
null
null
Limak has a grid that consists of 2 rows and *n* columns. The *j*-th cell in the *i*-th row contains an integer *t**i*,<=*j* which can be positive, negative or zero. A non-empty rectangle of cells is called nice if and only if the sum of numbers in its cells is equal to 0. Limak wants to choose some nice rectangles a...
The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=300<=000) — the number of columns in the grid. The next two lines contain numbers in the grid. The *i*-th of those two lines contains *n* integers *t**i*,<=1,<=*t**i*,<=2,<=...,<=*t**i*,<=*n* (<=-<=109<=≤<=*t**i*,<=*j*<=≤<=109).
Print one integer, denoting the maximum possible number of cell-disjoint nice rectangles.
[ "6\n70 70 70 70 70 -15\n90 -60 -30 30 -30 15\n", "4\n0 -1 0 0\n0 0 1 0\n", "3\n1000000000 999999999 -1000000000\n999999999 -1000000000 -999999998\n" ]
[ "3\n", "6\n", "1\n" ]
In the first sample, there are four nice rectangles: Limak can't choose all of them because they are not disjoint. He should take three nice rectangles: those denoted as blue frames on the drawings. In the second sample, it's optimal to choose six nice rectangles, each consisting of one cell with a number 0. In the ...
[]
0
0
-1
8,136
978
Bus Video System
[ "combinatorics", "math" ]
null
null
The busses in Berland are equipped with a video surveillance system. The system records information about changes in the number of passengers in a bus after stops. If $x$ is the number of passengers in a bus just before the current bus stop and $y$ is the number of passengers in the bus just after current bus stop, th...
The first line contains two integers $n$ and $w$ $(1 \le n \le 1\,000, 1 \le w \le 10^{9})$ — the number of bus stops and the capacity of the bus. The second line contains a sequence $a_1, a_2, \dots, a_n$ $(-10^{6} \le a_i \le 10^{6})$, where $a_i$ equals to the number, which has been recorded by the video system aft...
Print the number of possible ways how many people could be in the bus before the first bus stop, if the bus has a capacity equals to $w$. If the situation is contradictory (i.e. for any initial number of passengers there will be a contradiction), print 0.
[ "3 5\n2 1 -3\n", "2 4\n-1 1\n", "4 10\n2 4 1 2\n" ]
[ "3\n", "4\n", "2\n" ]
In the first example initially in the bus could be $0$, $1$ or $2$ passengers. In the second example initially in the bus could be $1$, $2$, $3$ or $4$ passengers. In the third example initially in the bus could be $0$ or $1$ passenger.
[ { "input": "3 5\n2 1 -3", "output": "3" }, { "input": "2 4\n-1 1", "output": "4" }, { "input": "4 10\n2 4 1 2", "output": "2" }, { "input": "2 10\n-1 2", "output": "9" }, { "input": "3 4\n-3 -4 4", "output": "0" }, { "input": "10 1\n-1 -1 3 -4 2 3 0 -3...
46
0
3
8,137
76
Plus and xor
[ "dp", "greedy", "math" ]
D. Plus and xor
0
256
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary digit of the result is equal to 1 if and only if bits on the respective positions ...
The first line contains integer number *A* and the second line contains integer number *B* (0<=≤<=*A*,<=*B*<=≤<=264<=-<=1).
The only output line should contain two integer non-negative numbers *X* and *Y*. Print the only number -1 if there is no answer.
[ "142\n76\n" ]
[ "33 109\n" ]
none
[ { "input": "142\n76", "output": "33 109" }, { "input": "638\n126", "output": "256 382" }, { "input": "1639\n1176", "output": "-1" }, { "input": "12608\n0", "output": "6304 6304" }, { "input": "104066\n104066", "output": "0 104066" }, { "input": "102499...
92
0
3
8,141
220
Little Elephant and Shifts
[ "data structures" ]
null
null
The Little Elephant has two permutations *a* and *b* of length *n*, consisting of numbers from 1 to *n*, inclusive. Let's denote the *i*-th (1<=≤<=*i*<=≤<=*n*) element of the permutation *a* as *a**i*, the *j*-th (1<=≤<=*j*<=≤<=*n*) element of the permutation *b* — as *b**j*. The distance between permutations *a* and ...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the size of the permutations. The second line contains permutation *a* as *n* distinct numbers from 1 to *n*, inclusive. The numbers are separated with single spaces. The third line contains permutation *b* in the same format.
In *n* lines print *n* integers — the answers for cyclic shifts. Print the answers to the shifts in the order of the shifts' numeration in permutation *b*, that is, first for the 1-st cyclic shift, then for the 2-nd, and so on.
[ "2\n1 2\n2 1\n", "4\n2 1 3 4\n3 4 2 1\n" ]
[ "1\n0\n", "2\n1\n0\n1\n" ]
none
[]
92
0
0
8,162
547
Mike and Feet
[ "binary search", "data structures", "dp", "dsu" ]
null
null
Mike is the president of country What-The-Fatherland. There are *n* bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to *n* from left to right. *i*-th bear is exactly *a**i* feet high. A group of bears is a non-empty contiguous segment of the line. The size of...
The first line of input contains integer *n* (1<=≤<=*n*<=≤<=2<=×<=105), the number of bears. The second line contains *n* integers separated by space, *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109), heights of bears.
Print *n* integers in one line. For each *x* from 1 to *n*, print the maximum strength among all groups of size *x*.
[ "10\n1 2 3 4 5 4 3 2 1 6\n" ]
[ "6 4 4 3 3 2 2 1 1 1 \n" ]
none
[ { "input": "10\n1 2 3 4 5 4 3 2 1 6", "output": "6 4 4 3 3 2 2 1 1 1 " }, { "input": "3\n524125987 923264237 374288891", "output": "923264237 524125987 374288891 " }, { "input": "5\n585325539 365329221 412106895 291882089 564718673", "output": "585325539 365329221 365329221 291882089...
0
0
-1
8,181
631
Report
[ "data structures", "sortings" ]
null
null
Each month Blake gets the report containing main economic indicators of the company "Blake Technologies". There are *n* commodities produced by the company. For each of them there is exactly one integer in the final report, that denotes corresponding revenue. Before the report gets to Blake, it passes through the hands...
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=200<=000) — the number of commodities in the report and the number of managers, respectively. The second line contains *n* integers *a**i* (|*a**i*|<=≤<=109) — the initial report before it gets to the first manager. Then follow *m* lin...
Print *n* integers — the final report, which will be passed to Blake by manager number *m*.
[ "3 1\n1 2 3\n2 2\n", "4 2\n1 2 4 3\n2 3\n1 2\n" ]
[ "2 1 3 ", "2 4 1 3 " ]
In the first sample, the initial report looked like: 1 2 3. After the first manager the first two numbers were transposed: 2 1 3. The report got to Blake in this form. In the second sample the original report was like this: 1 2 4 3. After the first manager the report changed to: 4 2 1 3. After the second manager the r...
[ { "input": "3 1\n1 2 3\n2 2", "output": "2 1 3 " }, { "input": "4 2\n1 2 4 3\n2 3\n1 2", "output": "2 4 1 3 " }, { "input": "4 1\n4 3 2 1\n1 4", "output": "1 2 3 4 " }, { "input": "5 1\n1 2 3 4 5\n2 5", "output": "5 4 3 2 1 " }, { "input": "6 2\n3 1 2 6 4 5\n1 6\n...
2,000
14,643,200
0
8,201
821
Okabe and Boxes
[ "data structures", "greedy", "trees" ]
null
null
Okabe and Super Hacker Daru are stacking and removing boxes. There are *n* boxes numbered from 1 to *n*. Initially there are no boxes on the stack. Okabe, being a control freak, gives Daru 2*n* commands: *n* of which are to add a box to the top of the stack, and *n* of which are to remove a box from the top of the sta...
The first line of input contains the integer *n* (1<=≤<=*n*<=≤<=3·105) — the number of boxes. Each of the next 2*n* lines of input starts with a string "add" or "remove". If the line starts with the "add", an integer *x* (1<=≤<=*x*<=≤<=*n*) follows, indicating that Daru should add the box with number *x* to the top of...
Print the minimum number of times Daru needs to reorder the boxes to successfully complete all of Okabe's commands.
[ "3\nadd 1\nremove\nadd 2\nadd 3\nremove\nremove\n", "7\nadd 3\nadd 2\nadd 1\nremove\nadd 4\nremove\nremove\nremove\nadd 6\nadd 7\nadd 5\nremove\nremove\nremove\n" ]
[ "1\n", "2\n" ]
In the first sample, Daru should reorder the boxes after adding box 3 to the stack. In the second sample, Daru should reorder the boxes after adding box 4 and box 7 to the stack.
[ { "input": "3\nadd 1\nremove\nadd 2\nadd 3\nremove\nremove", "output": "1" }, { "input": "7\nadd 3\nadd 2\nadd 1\nremove\nadd 4\nremove\nremove\nremove\nadd 6\nadd 7\nadd 5\nremove\nremove\nremove", "output": "2" }, { "input": "4\nadd 1\nadd 3\nremove\nadd 4\nadd 2\nremove\nremove\nremov...
93
23,142,400
-1
8,204
10
Greedy Change
[ "constructive algorithms" ]
E. Greedy Change
2
256
Billy investigates the question of applying greedy algorithm to different spheres of life. At the moment he is studying the application of greedy algorithm to the problem about change. There is an amount of *n* coins of different face values, and the coins of each value are not limited in number. The task is to collect...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=400) — the amount of the coins' face values. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109), describing the face values. It is guaranteed that *a*1<=&gt;<=*a*2<=&gt;<=...<=&gt;<=*a**n* and *a**n*<==<=1.
If greedy algorithm collects any sum in an optimal way, output -1. Otherwise output the smallest sum that greedy algorithm collects in a non-optimal way.
[ "5\n25 10 5 2 1\n", "3\n4 3 1\n" ]
[ "-1\n", "6\n" ]
none
[ { "input": "5\n25 10 5 2 1", "output": "-1" }, { "input": "3\n4 3 1", "output": "6" }, { "input": "5\n9 8 5 2 1", "output": "13" }, { "input": "5\n18 17 10 2 1", "output": "27" }, { "input": "4\n73 70 33 1", "output": "99" }, { "input": "4\n25 10 5 1",...
62
0
0
8,208
837
Two Seals
[ "brute force", "implementation" ]
null
null
One very important person has a piece of paper in the form of a rectangle *a*<=×<=*b*. Also, he has *n* seals. Each seal leaves an impression on the paper in the form of a rectangle of the size *x**i*<=×<=*y**i*. Each impression must be parallel to the sides of the piece of paper (but seal can be rotated by 90 degrees...
The first line contains three integer numbers *n*, *a* and *b* (1<=≤<=*n*,<=*a*,<=*b*<=≤<=100). Each of the next *n* lines contain two numbers *x**i*, *y**i* (1<=≤<=*x**i*,<=*y**i*<=≤<=100).
Print the largest total area that can be occupied by two seals. If you can not select two seals, print 0.
[ "2 2 2\n1 2\n2 1\n", "4 10 9\n2 3\n1 1\n5 10\n9 11\n", "3 10 10\n6 6\n7 7\n20 5\n" ]
[ "4\n", "56\n", "0\n" ]
In the first example you can rotate the second seal by 90 degrees. Then put impression of it right under the impression of the first seal. This will occupy all the piece of paper. In the second example you can't choose the last seal because it doesn't fit. By choosing the first and the third seals you occupy the large...
[ { "input": "2 2 2\n1 2\n2 1", "output": "4" }, { "input": "4 10 9\n2 3\n1 1\n5 10\n9 11", "output": "56" }, { "input": "3 10 10\n6 6\n7 7\n20 5", "output": "0" }, { "input": "2 1 1\n1 1\n1 1", "output": "0" }, { "input": "2 1 2\n1 1\n1 1", "output": "2" }, ...
233
9,216,000
3
8,210
387
George and Number
[ "greedy", "implementation" ]
null
null
George is a cat, so he really likes to play. Most of all he likes to play with his array of positive integers *b*. During the game, George modifies the array by using special changes. Let's mark George's current array as *b*1,<=*b*2,<=...,<=*b*|*b*| (record |*b*| denotes the current length of the array). Then one chang...
The first line of the input contains a single integer *p* (1<=≤<=*p*<=&lt;<=10100000). It is guaranteed that number *p* doesn't contain any leading zeroes.
Print an integer — the maximum number of elements array *b* could contain originally.
[ "9555\n", "10000000005\n", "800101\n", "45\n", "1000000000000001223300003342220044555\n", "19992000\n", "310200\n" ]
[ "4", "2", "3", "1", "17", "1", "2" ]
Let's consider the test examples: - Originally array *b* can be equal to {5, 9, 5, 5}. The sequence of George's changes could have been: {5, 9, 5, 5} → {5, 5, 95} → {95, 55} → {9555}. - Originally array *b* could be equal to {1000000000, 5}. Please note that the array *b* cannot contain zeros. - Originally array *...
[ { "input": "9555", "output": "4" }, { "input": "10000000005", "output": "2" }, { "input": "800101", "output": "3" }, { "input": "45", "output": "1" }, { "input": "1000000000000001223300003342220044555", "output": "17" }, { "input": "19992000", "out...
795
10,649,600
-1
8,226
0
none
[ "none" ]
null
null
Barney lives in NYC. NYC has infinite number of intersections numbered with positive integers starting from 1. There exists a bidirectional road between intersections *i* and 2*i* and another road between *i* and 2*i*<=+<=1 for every positive integer *i*. You can clearly see that there exists a unique shortest path bet...
The first line of input contains a single integer *q* (1<=≤<=*q*<=≤<=1<=000). The next *q* lines contain the information about the events in chronological order. Each event is described in form 1 *v* *u* *w* if it's an event when government makes a new rule about increasing the passing fee of all roads on the shortest...
For each event of second type print the sum of passing fee of all roads Barney passes in this event, in one line. Print the answers in chronological order of corresponding events.
[ "7\n1 3 4 30\n1 4 1 2\n1 3 6 8\n2 4 3\n1 6 1 40\n2 3 7\n2 2 4\n" ]
[ "94\n0\n32\n" ]
In the example testcase: Here are the intersections used: 1. Intersections on the path are 3, 1, 2 and 4. 1. Intersections on the path are 4, 2 and 1. 1. Intersections on the path are only 3 and 6. 1. Intersections on the path are 4, 2, 1 and 3. Passing fee of roads on the path are 32, 32 and 30 in order. So answ...
[ { "input": "7\n1 3 4 30\n1 4 1 2\n1 3 6 8\n2 4 3\n1 6 1 40\n2 3 7\n2 2 4", "output": "94\n0\n32" }, { "input": "1\n2 666077344481199252 881371880336470888", "output": "0" }, { "input": "10\n1 1 63669439577744021 396980128\n1 2582240553355225 63669439577744021 997926286\n1 258224055335522...
93
3,993,600
3
8,227
56
Spoilt Permutation
[ "implementation" ]
B. Spoilt Permutation
2
256
Vasya collects coins: he has exactly one coin for every year from 1 to *n*. Naturally, Vasya keeps all the coins in his collection in the order in which they were released. Once Vasya's younger brother made a change — he took all the coins whose release year dated from *l* to *r* inclusively and put them in the reverse...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=1000) which is the number of coins in Vasya's collection. The second line contains space-separated *n* integers which are the spoilt sequence of coins. It is guaranteed that the given sequence is a permutation, i.e. it contains only integers from 1 to *n*, and every...
If it is impossible to obtain the given permutation from the original one in exactly one action, print 0 0. Otherwise, print two numbers *l* *r* (1<=≤<=*l*<=&lt;<=*r*<=≤<=*n*) which are the endpoints of the segment that needs to be reversed to obtain from permutation 1 2 ... *n* the given one.
[ "8\n1 6 5 4 3 2 7 8\n", "4\n2 3 4 1\n", "4\n1 2 3 4\n" ]
[ "2 6\n", "0 0\n", "0 0\n" ]
none
[ { "input": "8\n1 6 5 4 3 2 7 8", "output": "2 6" }, { "input": "4\n2 3 4 1", "output": "0 0" }, { "input": "4\n1 2 3 4", "output": "0 0" }, { "input": "8\n1 3 2 4 6 5 7 8", "output": "0 0" }, { "input": "8\n1 3 4 2 6 5 7 8", "output": "0 0" }, { "input...
186
307,200
0
8,247
146
Lucky Mask
[ "brute force", "implementation" ]
null
null
Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Petya calls a mask of a positive integer *n* the number that is obtained after successive writing ...
The only line contains two integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=105). It is guaranteed that number *b* is lucky.
In the only line print a single number — the number *c* that is sought by Petya.
[ "1 7\n", "100 47\n" ]
[ "7\n", "147\n" ]
none
[ { "input": "1 7", "output": "7" }, { "input": "100 47", "output": "147" }, { "input": "458 47", "output": "467" }, { "input": "7 7", "output": "17" }, { "input": "547 47", "output": "647" }, { "input": "77 77", "output": "177" }, { "input":...
278
3,174,400
3
8,249
255
Mr. Bender and Square
[ "binary search", "implementation", "math" ]
null
null
Mr. Bender has a digital table of size *n*<=×<=*n*, each cell can be switched on or off. He wants the field to have at least *c* switched on squares. When this condition is fulfilled, Mr Bender will be happy. We'll consider the table rows numbered from top to bottom from 1 to *n*, and the columns — numbered from left ...
The first line contains four space-separated integers *n*,<=*x*,<=*y*,<=*c* (1<=≤<=*n*,<=*c*<=≤<=109; 1<=≤<=*x*,<=*y*<=≤<=*n*; *c*<=≤<=*n*2).
In a single line print a single integer — the answer to the problem.
[ "6 4 3 1\n", "9 3 8 10\n" ]
[ "0\n", "2\n" ]
Initially the first test has one painted cell, so the answer is 0. In the second test all events will go as is shown on the figure. <img class="tex-graphics" src="https://espresso.codeforces.com/51bd695513bdc59c6ded01f0d34daa5361285209.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
[ { "input": "6 4 3 1", "output": "0" }, { "input": "9 3 8 10", "output": "2" }, { "input": "9 4 3 10", "output": "2" }, { "input": "9 8 2 10", "output": "2" }, { "input": "1 1 1 1", "output": "0" }, { "input": "10 7 2 7", "output": "2" }, { ...
30
0
0
8,273
51
Geometrical problem
[ "implementation" ]
D. Geometrical problem
1
256
Polycarp loves geometric progressions — he collects them. However, as such progressions occur very rarely, he also loves the sequences of numbers where it is enough to delete a single element to get a geometric progression. In this task we shall define geometric progressions as finite sequences of numbers *a*1,<=*a*2,...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=105) — the number of elements in the given sequence. The second line contains the given sequence. The numbers are space-separated. All the elements of the given sequence are integers and their absolute value does not exceed 104.
Print 0, if the given sequence is a geometric progression. Otherwise, check if it is possible to make the sequence a geometric progression by deleting a single element. If it is possible, print 1. If it is impossible, print 2.
[ "4\n3 6 12 24\n", "4\n-8 -16 24 -32\n", "4\n0 1 2 3\n" ]
[ "0\n", "1\n", "2\n" ]
none
[ { "input": "4\n3 6 12 24", "output": "0" }, { "input": "4\n-8 -16 24 -32", "output": "1" }, { "input": "4\n0 1 2 3", "output": "2" }, { "input": "5\n1 1 1 1 2", "output": "1" }, { "input": "4\n1 -1 1 -1", "output": "0" }, { "input": "8\n1 2 4 8 16 32 -...
154
0
0
8,294
490
Hacking Cypher
[ "brute force", "math", "number theory", "strings" ]
null
null
Polycarpus participates in a competition for hacking into a new secure messenger. He's almost won. Having carefully studied the interaction protocol, Polycarpus came to the conclusion that the secret key can be obtained if he properly cuts the public key of the application into two parts. The public key is a long inte...
The first line of the input contains the public key of the messenger — an integer without leading zeroes, its length is in range from 1 to 106 digits. The second line contains a pair of space-separated positive integers *a*, *b* (1<=≤<=*a*,<=*b*<=≤<=108).
In the first line print "YES" (without the quotes), if the method satisfying conditions above exists. In this case, next print two lines — the left and right parts after the cut. These two parts, being concatenated, must be exactly identical to the public key. The left part must be divisible by *a*, and the right part ...
[ "116401024\n97 1024\n", "284254589153928171911281811000\n1009 1000\n", "120\n12 1\n" ]
[ "YES\n11640\n1024\n", "YES\n2842545891539\n28171911281811000\n", "NO\n" ]
none
[ { "input": "116401024\n97 1024", "output": "YES\n11640\n1024" }, { "input": "284254589153928171911281811000\n1009 1000", "output": "YES\n2842545891539\n28171911281811000" }, { "input": "120\n12 1", "output": "NO" }, { "input": "604\n6 4", "output": "YES\n60\n4" }, { ...
1,000
10,956,800
0
8,302
919
Congruence Equation
[ "chinese remainder theorem", "math", "number theory" ]
null
null
Given an integer $x$. Your task is to find out how many positive integers $n$ ($1 \leq n \leq x$) satisfy $$n \cdot a^n \equiv b \quad (\textrm{mod}\;p),$$ where $a, b, p$ are all known constants.
The only line contains four integers $a,b,p,x$ ($2 \leq p \leq 10^6+3$, $1 \leq a,b &lt; p$, $1 \leq x \leq 10^{12}$). It is guaranteed that $p$ is a prime.
Print a single integer: the number of possible answers $n$.
[ "2 3 5 8\n", "4 6 7 13\n", "233 233 10007 1\n" ]
[ "2\n", "1\n", "1\n" ]
In the first sample, we can see that $n=2$ and $n=8$ are possible answers.
[ { "input": "2 3 5 8", "output": "2" }, { "input": "4 6 7 13", "output": "1" }, { "input": "233 233 10007 1", "output": "1" }, { "input": "338792 190248 339821 152634074578", "output": "449263" }, { "input": "629260 663548 739463 321804928248", "output": "43481...
1,356
69,632,000
0
8,319
675
Money Transfers
[ "constructive algorithms", "data structures", "greedy", "sortings" ]
null
null
There are *n* banks in the city where Vasya lives, they are located in a circle, such that any two banks are neighbouring if their indices differ by no more than 1. Also, bank 1 and bank *n* are neighbours if *n*<=&gt;<=1. No bank is a neighbour of itself. Vasya has an account in each bank. Its balance may be negative...
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of banks. The second line contains *n* integers *a**i* (<=-<=109<=≤<=*a**i*<=≤<=109), the *i*-th of them is equal to the initial balance of the account in the *i*-th bank. It's guaranteed that the sum of all *a**i* is equal...
Print the minimum number of operations required to change balance in each bank to zero.
[ "3\n5 0 -5\n", "4\n-1 0 1 0\n", "4\n1 2 3 -6\n" ]
[ "1\n", "2\n", "3\n" ]
In the first sample, Vasya may transfer 5 from the first bank to the third. In the second sample, Vasya may first transfer 1 from the third bank to the second, and then 1 from the second to the first. In the third sample, the following sequence provides the optimal answer: 1. transfer 1 from the first bank to the ...
[ { "input": "3\n5 0 -5", "output": "1" }, { "input": "4\n-1 0 1 0", "output": "2" }, { "input": "4\n1 2 3 -6", "output": "3" }, { "input": "1\n0", "output": "0" }, { "input": "50\n108431864 128274949 -554057370 -384620666 -202862975 -803855410 -482167063 -55139054 ...
218
16,179,200
3
8,325
28
Bender Problem
[ "implementation" ]
A. Bender Problem
2
256
Robot Bender decided to make Fray a birthday present. He drove *n* nails and numbered them from 1 to *n* in some order. Bender decided to make a picture using metal rods. The picture is a closed polyline, which vertices should be nails (in the given order). The segments of the polyline should be parallel to the coordin...
The first line contains two positive integers *n* and *m* (4<=≤<=*n*<=≤<=500,<=2<=≤<=*m*<=≤<=500, *n* is even) — the amount of nails and the amount of rods. *i*-th of the following *n* lines contains a pair of integers, denoting the coordinates of the *i*-th nail. Nails should be connected in the same order as they are...
If it is impossible to solve Bender's problem, output NO. Otherwise, output YES in the first line, and in the second line output *n* numbers — *i*-th of them should be the number of rod, which fold place is attached to the *i*-th nail, or -1, if there is no such rod. If there are multiple solutions, print any of them.
[ "4 2\n0 0\n0 2\n2 2\n2 0\n4 4\n", "6 3\n0 0\n1 0\n1 1\n2 1\n2 2\n0 2\n3 2 3\n", "6 3\n0 0\n1 0\n1 1\n2 1\n2 2\n0 2\n2 2 3\n" ]
[ "YES\n1 -1 2 -1 \n", "YES\n1 -1 2 -1 3 -1 \n", "NO\n" ]
none
[ { "input": "4 2\n0 0\n0 2\n2 2\n2 0\n4 4", "output": "YES\n1 -1 2 -1 " }, { "input": "6 3\n0 0\n1 0\n1 1\n2 1\n2 2\n0 2\n3 2 3", "output": "YES\n1 -1 2 -1 3 -1 " }, { "input": "6 3\n0 0\n1 0\n1 1\n2 1\n2 2\n0 2\n2 2 3", "output": "NO" }, { "input": "4 4\n0 0\n0 1\n1 1\n1 0\n1...
124
307,200
0
8,369
163
Lemmings
[ "binary search" ]
null
null
As you know, lemmings like jumping. For the next spectacular group jump *n* lemmings gathered near a high rock with *k* comfortable ledges on it. The first ledge is situated at the height of *h* meters, the second one is at the height of 2*h* meters, and so on (the *i*-th ledge is at the height of *i*·*h* meters). The ...
The first line contains space-separated integers *n*, *k* and *h* (1<=≤<=*k*<=≤<=*n*<=≤<=105, 1<=≤<=*h*<=≤<=104) — the total number of lemmings, the number of ledges and the distance between adjacent ledges. The second line contains *n* space-separated integers *m*1,<=*m*2,<=...,<=*m**n* (1<=≤<=*m**i*<=≤<=109), where ...
Print *k* different numbers from 1 to *n* — the numbers of the lemmings who go to ledges at heights *h*,<=2*h*,<=...,<=*kh*, correspondingly, if the jump is organized in an optimal way. If there are multiple ways to select the lemmings, pick any of them.
[ "5 3 2\n1 2 3 2 1\n1 2 1 2 10\n", "5 3 10\n3 4 3 2 1\n5 4 3 2 1\n" ]
[ "5 2 4\n", "4 3 1\n" ]
Let's consider the first sample case. The fifth lemming (speed 10) gets to the ledge at height 2 in <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/215e7035e1b836a262740867b9bbd824fd3c66fe.png" style="max-width: 100.0%;max-height: 100.0%;"/> minutes; the second lemming (speed 2) gets to the...
[]
920
53,145,600
0
8,379
409
The Great Game
[ "*special" ]
null
null
Two teams meet in The Game World Championship. Some scientists consider this game to be the most intellectually challenging game in the world. You are given two strings describing the teams' actions in the final battle. Figure out who became the champion.
The input contains two strings of equal length (between 2 and 20 characters, inclusive). Each line describes the actions of one team.
Output "TEAM 1 WINS" if the first team won, "TEAM 2 WINS" if the second team won, and "TIE" if there was a tie.
[ "[]()[]8&lt;\n8&lt;[]()8&lt;\n", "8&lt;8&lt;()\n[]8&lt;[]\n" ]
[ "TEAM 2 WINS\n", "TIE\n" ]
none
[ { "input": "[]()[]8<\n8<[]()8<", "output": "TEAM 2 WINS" }, { "input": "8<8<()\n[]8<[]", "output": "TIE" }, { "input": "()\n[]", "output": "TEAM 2 WINS" }, { "input": "()\n8<", "output": "TEAM 1 WINS" }, { "input": "8<\n[]", "output": "TEAM 1 WINS" }, { ...
140
0
0
8,388
376
I.O.U.
[ "implementation" ]
null
null
Imagine that there is a group of three friends: A, B and С. A owes B 20 rubles and B owes C 20 rubles. The total sum of the debts is 40 rubles. You can see that the debts are not organized in a very optimal manner. Let's rearrange them like that: assume that A owes C 20 rubles and B doesn't owe anything to anybody. The...
The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100; 0<=≤<=*m*<=≤<=104). The next *m* lines contain the debts. The *i*-th line contains three integers *a**i*,<=*b**i*,<=*c**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*; *a**i*<=≠<=*b**i*; 1<=≤<=*c**i*<=≤<=100), which mean that person *a**i* owes person *b**i* *c**i...
Print a single integer — the minimum sum of debts in the optimal rearrangement.
[ "5 3\n1 2 10\n2 3 1\n2 4 1\n", "3 0\n", "4 3\n1 2 1\n2 3 1\n3 1 1\n" ]
[ "10\n", "0\n", "0\n" ]
In the first sample, you can assume that person number 1 owes 8 rubles to person number 2, 1 ruble to person number 3 and 1 ruble to person number 4. He doesn't owe anybody else anything. In the end, the total debt equals 10. In the second sample, there are no debts. In the third sample, you can annul all the debts.
[ { "input": "5 3\n1 2 10\n2 3 1\n2 4 1", "output": "10" }, { "input": "3 0", "output": "0" }, { "input": "4 3\n1 2 1\n2 3 1\n3 1 1", "output": "0" }, { "input": "20 28\n1 5 6\n1 12 7\n1 13 4\n1 15 7\n1 20 3\n2 4 1\n2 15 6\n3 5 3\n3 8 10\n3 13 8\n3 20 6\n4 6 10\n4 12 8\n4 19 5\...
62
0
3
8,403
32
Hide-and-Seek
[ "geometry", "implementation" ]
E. Hide-and-Seek
2
256
Victor and Peter are playing hide-and-seek. Peter has hidden, and Victor is to find him. In the room where they are playing, there is only one non-transparent wall and one double-sided mirror. Victor and Peter are points with coordinates (*x**v*,<=*y**v*) and (*x**p*,<=*y**p*) respectively. The wall is a segment joinin...
The first line contains two numbers *x**v* and *y**v* — coordinates of Victor. The second line contains two numbers *x**p* and *y**p* — coordinates of Peter. The third line contains 4 numbers *x**w*,<=1, *y**w*,<=1, *x**w*,<=2, *y**w*,<=2 — coordinates of the wall. The forth line contains 4 numbers *x**m*,<=1, *y**m...
Output YES, if Victor can see Peter without leaving the initial spot. Otherwise output NO.
[ "-1 3\n1 3\n0 2 0 4\n0 0 0 1\n", "0 0\n1 1\n0 1 1 0\n-100 -100 -101 -101\n", "0 0\n1 1\n0 1 1 0\n-1 1 1 3\n", "0 0\n10 0\n100 100 101 101\n1 0 3 0\n" ]
[ "NO\n", "NO\n", "YES\n", "YES\n" ]
none
[ { "input": "-1 3\n1 3\n0 2 0 4\n0 0 0 1", "output": "NO" }, { "input": "0 0\n1 1\n0 1 1 0\n-100 -100 -101 -101", "output": "NO" }, { "input": "0 0\n1 1\n0 1 1 0\n-1 1 1 3", "output": "YES" }, { "input": "0 0\n10 0\n100 100 101 101\n1 0 3 0", "output": "YES" }, { "...
186
0
3.9535
8,408
0
none
[ "none" ]
null
null
We'll call a set of positive integers *a* beautiful if the following condition fulfills: for any prime *p*, if , then . In other words, if one number from the set is divisible by prime *p*, then at least half of numbers from the set is divisible by *p*. Your task is to find any beautiful set, where the number of eleme...
The first line contains integer *k* (10<=≤<=*k*<=≤<=5000) that shows how many numbers the required beautiful set should have.
In the first line print *k* space-separated integers that are a beautiful set. If there are multiple such sets, you are allowed to print any of them.
[ "10\n" ]
[ "16 18 24 27 36 48 54 72 108 144 \n" ]
none
[]
46
0
0
8,441
975
Ghosts
[ "geometry", "math" ]
null
null
Ghosts live in harmony and peace, they travel the space without any purpose other than scare whoever stands in their way. There are $n$ ghosts in the universe, they move in the $OXY$ plane, each one of them has its own velocity that does not change in time: $\overrightarrow{V} = V_{x}\overrightarrow{i} + V_{y}\overrig...
The first line contains three integers $n$, $a$ and $b$ ($1 \leq n \leq 200000$, $1 \leq |a| \leq 10^9$, $0 \le |b| \le 10^9$) — the number of ghosts in the universe and the parameters of the straight line. Each of the next $n$ lines contains three integers $x_i$, $V_{xi}$, $V_{yi}$ ($-10^9 \leq x_i \leq 10^9$, $-10^9...
Output one line: experience index of the ghost kind $GX$ in the indefinite future.
[ "4 1 1\n1 -1 -1\n2 1 1\n3 1 1\n4 -1 -1\n", "3 1 0\n-1 1 0\n0 0 -1\n1 -1 -2\n", "3 1 0\n0 0 0\n1 0 0\n2 0 0\n" ]
[ "8\n", "6\n", "0\n" ]
There are four collisions $(1,2,T-0.5)$, $(1,3,T-1)$, $(2,4,T+1)$, $(3,4,T+0.5)$, where $(u,v,t)$ means a collision happened between ghosts $u$ and $v$ at moment $t$. At each collision, each ghost gained one experience point, this means that $GX = 4 \cdot 2 = 8$. In the second test, all points will collide when $t = T...
[ { "input": "4 1 1\n1 -1 -1\n2 1 1\n3 1 1\n4 -1 -1", "output": "8" }, { "input": "3 1 0\n-1 1 0\n0 0 -1\n1 -1 -2", "output": "6" }, { "input": "3 1 0\n0 0 0\n1 0 0\n2 0 0", "output": "0" }, { "input": "10 7 -626288749\n795312099 49439844 266151109\n-842143911 23740808 62497340...
904
43,008,000
3
8,456
769
News About Credit
[ "*special", "greedy", "two pointers" ]
null
null
Polycarp studies at the university in the group which consists of *n* students (including himself). All they are registrated in the social net "TheContacnt!". Not all students are equally sociable. About each student you know the value *a**i* — the maximum number of messages which the *i*-th student is agree to send p...
The first line contains the positive integer *n* (2<=≤<=*n*<=≤<=100) — the number of students. The second line contains the sequence *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=100), where *a**i* equals to the maximum number of messages which can the *i*-th student agree to send. Consider that Polycarp always has th...
Print -1 to the first line if it is impossible to inform all students about credit. Otherwise, in the first line print the integer *k* — the number of messages which will be sent. In each of the next *k* lines print two distinct integers *f* and *t*, meaning that the student number *f* sent the message with news to t...
[ "4\n1 2 1 0\n", "6\n2 0 1 3 2 0\n", "3\n0 2 2\n" ]
[ "3\n1 2\n2 4\n2 3\n", "6\n1 3\n3 4\n1 2\n4 5\n5 6\n4 6\n", "-1\n" ]
In the first test Polycarp (the student number 1) can send the message to the student number 2, who after that can send the message to students number 3 and 4. Thus, all students knew about the credit.
[ { "input": "4\n1 2 1 0", "output": "3\n1 2\n2 3\n2 4" }, { "input": "6\n2 0 1 3 2 0", "output": "5\n1 4\n1 5\n4 3\n4 2\n4 6" }, { "input": "3\n0 2 2", "output": "-1" }, { "input": "2\n0 0", "output": "-1" }, { "input": "2\n1 0", "output": "1\n1 2" }, { ...
62
4,915,200
3
8,460
27
Number With The Given Amount Of Divisors
[ "brute force", "dp", "number theory" ]
E. Number With The Given Amount Of Divisors
2
256
Given the number *n*, find the smallest positive integer which has exactly *n* divisors. It is guaranteed that for the given *n* the answer will not exceed 1018.
The first line of the input contains integer *n* (1<=≤<=*n*<=≤<=1000).
Output the smallest positive integer with exactly *n* divisors.
[ "4\n", "6\n" ]
[ "6\n", "12\n" ]
none
[ { "input": "1", "output": "1" }, { "input": "7", "output": "64" }, { "input": "8", "output": "24" }, { "input": "9", "output": "36" }, { "input": "10", "output": "48" }, { "input": "15", "output": "144" }, { "input": "20", "output": "24...
92
0
3.977
8,477
774
Big Number and Remainder
[ "*special", "math", "number theory" ]
null
null
Stepan has a very big positive integer. Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading zeros). Let's call such shifts as good shifts. For example, for the integer 10203 the good shifts are the integer itself 10203...
The first line contains the integer which Stepan has. The length of Stepan's integer is between 2 and 200<=000 digits, inclusive. It is guaranteed that Stepan's integer does not contain leading zeros. The second line contains the integer *m* (2<=≤<=*m*<=≤<=108) — the number by which Stepan divides good shifts of his i...
Print the minimum remainder which Stepan can get if he divides all good shifts of his integer by the given number *m*.
[ "521\n3\n", "1001\n5\n", "5678901234567890123456789\n10000\n" ]
[ "2\n", "0\n", "123\n" ]
In the first example all good shifts of the integer 521 (good shifts are equal to 521, 215 and 152) has same remainder 2 when dividing by 3. In the second example there are only two good shifts: the Stepan's integer itself and the shift by one position to the right. The integer itself is 1001 and the remainder after d...
[ { "input": "521\n3", "output": "2" }, { "input": "1001\n5", "output": "0" }, { "input": "5678901234567890123456789\n10000", "output": "123" }, { "input": "552352155\n13", "output": "2" }, { "input": "11533077525260\n193983", "output": "22331" }, { "inp...
3,000
5,529,600
0
8,484
0
none
[ "none" ]
null
null
One day Natalia was walking in the woods when she met a little mushroom gnome. The gnome told her the following story: Everybody knows that the mushroom gnomes' power lies in the magic mushrooms that grow in the native woods of the gnomes. There are *n* trees and *m* magic mushrooms in the woods: the *i*-th tree grows...
The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=105, 1<=≤<=*m*<=≤<=104) — the number of trees and mushrooms, respectively. Each of the next *n* lines contain four integers — *a**i*, *h**i*, *l**i*, *r**i* (|*a**i*|<=≤<=109, 1<=≤<=*h**i*<=≤<=109, 0<=≤<=*l**i*,<=*r**i*,<=*l**i*<=+<=*r**i*<=≤<=100) which ...
Print a real number — the expectation of the total magical power of the surviving mushrooms. The result is accepted with relative or absolute accuracy 10<=-<=4.
[ "1 1\n2 2 50 50\n1 1\n", "2 1\n2 2 50 50\n4 2 50 50\n3 1\n" ]
[ "0.5000000000\n", "0.2500000000\n" ]
It is believed that the mushroom with the coordinate *x* belongs to the right-open interval [*l*, *r*) if and only if *l* ≤ *x* &lt; *r*. Similarly, the mushroom with the coordinate *x* belongs to the left-open interval (*l*, *r*] if and only if *l* &lt; *x* ≤ *r*. In the first test the mushroom survives with the prob...
[]
31
0
0
8,498
727
Bill Total Value
[ "expression parsing", "implementation", "strings" ]
null
null
Vasily exited from a store and now he wants to recheck the total price of all purchases in his bill. The bill is a string in which the names of the purchases and their prices are printed in a row without any spaces. Check has the format "*name*1*price*1*name*2*price*2...*name**n**price**n*", where *name**i* (name of th...
The only line of the input contains a non-empty string *s* with length not greater than 1000 — the content of the bill. It is guaranteed that the bill meets the format described above. It is guaranteed that each price in the bill is not less than one cent and not greater than 106 dollars.
Print the total price exactly in the same format as prices given in the input.
[ "chipsy48.32televizor12.390\n", "a1b2c3.38\n", "aa0.01t0.03\n" ]
[ "12.438.32\n", "6.38\n", "0.04\n" ]
none
[ { "input": "chipsy48.32televizor12.390", "output": "12.438.32" }, { "input": "a1b2c3.38", "output": "6.38" }, { "input": "aa0.01t0.03", "output": "0.04" }, { "input": "test0.50test0.50", "output": "1" }, { "input": "a500b500", "output": "1.000" }, { "i...
93
6,963,200
0
8,508
803
Coprime Subsequences
[ "bitmasks", "combinatorics", "number theory" ]
null
null
Let's call a non-empty sequence of positive integers *a*1,<=*a*2... *a**k* coprime if the greatest common divisor of all elements of this sequence is equal to 1. Given an array *a* consisting of *n* positive integers, find the number of its coprime subsequences. Since the answer may be very large, print it modulo 109<...
The first line contains one integer number *n* (1<=≤<=*n*<=≤<=100000). The second line contains *n* integer numbers *a*1,<=*a*2... *a**n* (1<=≤<=*a**i*<=≤<=100000).
Print the number of coprime subsequences of *a* modulo 109<=+<=7.
[ "3\n1 2 3\n", "4\n1 1 1 1\n", "7\n1 3 5 15 3 105 35\n" ]
[ "5\n", "15\n", "100\n" ]
In the first example coprime subsequences are: 1. 1 1. 1, 2 1. 1, 3 1. 1, 2, 3 1. 2, 3 In the second example all subsequences are coprime.
[ { "input": "3\n1 2 3", "output": "5" }, { "input": "4\n1 1 1 1", "output": "15" }, { "input": "7\n1 3 5 15 3 105 35", "output": "100" }, { "input": "1\n1", "output": "1" }, { "input": "1\n100000", "output": "0" }, { "input": "5\n10 8 6 4 6", "outpu...
982
26,521,600
3
8,516
545
Toy Cars
[ "implementation" ]
null
null
Little Susie, thanks to her older brother, likes to play with cars. Today she decided to set up a tournament between them. The process of a tournament is described in the next paragraph. There are *n* toy cars. Each pair collides. The result of a collision can be one of the following: no car turned over, one car turne...
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of cars. Each of the next *n* lines contains *n* space-separated integers that determine matrix *A*. It is guaranteed that on the main diagonal there are <=-<=1, and <=-<=1 doesn't appear anywhere else in the matrix. It is guaranteed that the inpu...
Print the number of good cars and in the next line print their space-separated indices in the increasing order.
[ "3\n-1 0 0\n0 -1 1\n0 2 -1\n", "4\n-1 3 3 3\n3 -1 3 3\n3 3 -1 3\n3 3 3 -1\n" ]
[ "2\n1 3 ", "0\n" ]
none
[ { "input": "3\n-1 0 0\n0 -1 1\n0 2 -1", "output": "2\n1 3 " }, { "input": "4\n-1 3 3 3\n3 -1 3 3\n3 3 -1 3\n3 3 3 -1", "output": "0" }, { "input": "1\n-1", "output": "1\n1 " }, { "input": "2\n-1 0\n0 -1", "output": "2\n1 2 " }, { "input": "2\n-1 1\n2 -1", "out...
46
0
3
8,541
618
Constellation
[ "geometry", "implementation" ]
null
null
Cat Noku has obtained a map of the night sky. On this map, he found a constellation with *n* stars numbered from 1 to *n*. For each *i*, the *i*-th star is located at coordinates (*x**i*,<=*y**i*). No two stars are located at the same position. In the evening Noku is going to take a look at the night sky. He would lik...
The first line of the input contains a single integer *n* (3<=≤<=*n*<=≤<=100<=000). Each of the next *n* lines contains two integers *x**i* and *y**i* (<=-<=109<=≤<=*x**i*,<=*y**i*<=≤<=109). It is guaranteed that no two stars lie at the same point, and there does not exist a line such that all stars lie on that line.
Print three distinct integers on a single line — the indices of the three points that form a triangle that satisfies the conditions stated in the problem. If there are multiple possible answers, you may print any of them.
[ "3\n0 1\n1 0\n1 1\n", "5\n0 0\n0 2\n2 0\n2 2\n1 1\n" ]
[ "1 2 3\n", "1 3 5\n" ]
In the first sample, we can print the three indices in any order. In the second sample, we have the following picture. Note that the triangle formed by starts 1, 4 and 3 doesn't satisfy the conditions stated in the problem, as point 5 is not strictly outside of this triangle (it lies on it's border).
[ { "input": "3\n0 1\n1 0\n1 1", "output": "1 2 3" }, { "input": "5\n0 0\n0 2\n2 0\n2 2\n1 1", "output": "1 3 5" }, { "input": "3\n819934317 939682125\n487662889 8614219\n-557136619 382982369", "output": "1 3 2" }, { "input": "10\n25280705 121178189\n219147240 -570920213\n-8298...
717
307,200
0
8,544
260
Balls and Boxes
[ "constructive algorithms", "greedy", "implementation" ]
null
null
Little Vasya had *n* boxes with balls in the room. The boxes stood in a row and were numbered with numbers from 1 to *n* from left to right. Once Vasya chose one of the boxes, let's assume that its number is *i*, took all balls out from it (it is guaranteed that this box originally had at least one ball), and began pu...
The first line of the input contains two integers *n* and *x* (2<=≤<=*n*<=≤<=105, 1<=≤<=*x*<=≤<=*n*), that represent the number of the boxes and the index of the box that got the last ball from Vasya, correspondingly. The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n*, where integer *a**i*...
Print *n* integers, where the *i*-th one represents the number of balls in the box number *i* before Vasya starts acting. Separate the numbers in the output by spaces. If there are multiple correct solutions, you are allowed to print any of them.
[ "4 4\n4 3 1 6\n", "5 2\n3 2 0 2 7\n", "3 3\n2 3 1\n" ]
[ "3 2 5 4 ", "2 1 4 1 6 ", "1 2 3 " ]
none
[ { "input": "4 4\n4 3 1 6", "output": "3 2 5 4 " }, { "input": "5 2\n3 2 0 2 7", "output": "2 1 4 1 6 " }, { "input": "3 3\n2 3 1", "output": "1 2 3 " }, { "input": "10 3\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 100000...
93
0
0
8,565
961
Pair Of Lines
[ "geometry" ]
null
null
You are given *n* points on Cartesian plane. Every point is a lattice point (i.<=e. both of its coordinates are integers), and all points are distinct. You may draw two straight lines (not necessarily distinct). Is it possible to do this in such a way that every point lies on at least one of these lines?
The first line contains one integer *n* (1<=≤<=*n*<=≤<=105) — the number of points you are given. Then *n* lines follow, each line containing two integers *x**i* and *y**i* (|*x**i*|,<=|*y**i*|<=≤<=109)— coordinates of *i*-th point. All *n* points are distinct.
If it is possible to draw two straight lines in such a way that each of given points belongs to at least one of these lines, print YES. Otherwise, print NO.
[ "5\n0 0\n0 1\n1 1\n1 -1\n2 2\n", "5\n0 0\n1 0\n2 1\n1 1\n2 3\n" ]
[ "YES\n", "NO\n" ]
In the first example it is possible to draw two lines, the one containing the points 1, 3 and 5, and another one containing two remaining points.
[ { "input": "5\n0 0\n0 1\n1 1\n1 -1\n2 2", "output": "YES" }, { "input": "5\n0 0\n1 0\n2 1\n1 1\n2 3", "output": "NO" }, { "input": "1\n-1000000000 1000000000", "output": "YES" }, { "input": "5\n2 -1\n-4 1\n0 -9\n5 -9\n9 -10", "output": "NO" }, { "input": "5\n6 1\n...
326
34,816,000
3
8,575
106
Space Rescuers
[ "geometry", "ternary search" ]
E. Space Rescuers
2
256
The Galaxy contains *n* planets, there are many different living creatures inhabiting each planet. And each creature can get into troubles! Space rescuers know it perfectly well and they are always ready to help anyone who really needs help. All you need to do is call for them. Now the space rescuers plan to build th...
The first line of the input file contains integer *n* — the number of planets (1<=≤<=*N*<=≤<=100). Each of the following *n* lines contains information about the planets. The *i*-th line contains three integers *x**i*,<=*y**i*,<=*z**i* — the coordinates of the *i*-th planet (<=-<=104<=≤<=*x**i*,<=*y**i*,<=*z**i*<=≤<=10...
Print on the first line of the output file three space-separated real numbers *x*0,<=*y*0,<=*z*0 — the coordinates for the future base. If there are several solutions, you are allowed to print any of them. The answer will be accepted if the distance from this point to the remotest planet will differ from the juries' va...
[ "5\n5 0 0\n-5 0 0\n0 3 4\n4 -3 0\n2 2 -2\n" ]
[ "0.000 0.000 0.000\n" ]
none
[ { "input": "5\n5 0 0\n-5 0 0\n0 3 4\n4 -3 0\n2 2 -2", "output": "-0.0000000017 -0.0000000319 0.0000000473" }, { "input": "4\n-2 -9 1\n10 4 0\n-1 1 0\n3 -10 -4", "output": "4.0000068501 -2.5000015036 0.5000626514" }, { "input": "5\n6 0 -4\n8 1 5\n-8 5 -6\n-2 -4 -3\n8 -2 1", "output": ...
2,000
10,342,400
0
8,580
365
The Fibonacci Segment
[ "implementation" ]
null
null
You have array *a*1,<=*a*2,<=...,<=*a**n*. Segment [*l*,<=*r*] (1<=≤<=*l*<=≤<=*r*<=≤<=*n*) is good if *a**i*<==<=*a**i*<=-<=1<=+<=*a**i*<=-<=2, for all *i* (*l*<=+<=2<=≤<=*i*<=≤<=*r*). Let's define *len*([*l*,<=*r*])<==<=*r*<=-<=*l*<=+<=1, *len*([*l*,<=*r*]) is the length of the segment [*l*,<=*r*]. Segment [*l*1,<=*r...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the number of elements in the array. The second line contains integers: *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=109).
Print the length of the longest good segment in array *a*.
[ "10\n1 2 3 5 8 13 21 34 55 89\n", "5\n1 1 1 1 1\n" ]
[ "10\n", "2\n" ]
none
[ { "input": "10\n1 2 3 5 8 13 21 34 55 89", "output": "10" }, { "input": "5\n1 1 1 1 1", "output": "2" }, { "input": "1\n1000", "output": "1" }, { "input": "51\n1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0", "output"...
93
1,331,200
0
8,590
245
Internet Address
[ "implementation", "strings" ]
null
null
Vasya is an active Internet user. One day he came across an Internet resource he liked, so he wrote its address in the notebook. We know that the address of the written resource has format: where: - &lt;protocol&gt; can equal either "http" (without the quotes) or "ftp" (without the quotes), - &lt;domain&gt; is a no...
The first line contains a non-empty string that Vasya wrote out in his notebook. This line consists of lowercase English letters only. It is guaranteed that the given string contains at most 50 letters. It is guaranteed that the given string can be obtained from some correct Internet resource address, described above...
Print a single line — the address of the Internet resource that Vasya liked. If there are several addresses that meet the problem limitations, you are allowed to print any of them.
[ "httpsunrux\n", "ftphttprururu\n" ]
[ "http://sun.ru/x\n", "ftp://http.ru/ruru\n" ]
In the second sample there are two more possible answers: "ftp://httpruru.ru" and "ftp://httpru.ru/ru".
[ { "input": "httpsunrux", "output": "http://sun.ru/x" }, { "input": "ftphttprururu", "output": "ftp://http.ru/ruru" }, { "input": "httpuururrururruruurururrrrrurrurrurruruuruuu", "output": "http://uu.ru/rrururruruurururrrrrurrurrurruruuruuu" }, { "input": "httpabuaruauabbaruru...
124
307,200
3
8,627
718
Efim and Strange Grade
[ "dp", "implementation", "math" ]
null
null
Efim just received his grade for the last test. He studies in a special school and his grade can be equal to any positive decimal fraction. First he got disappointed, as he expected a way more pleasant result. Then, he developed a tricky plan. Each second, he can ask his teacher to round the grade at any place after th...
The first line of the input contains two integers *n* and *t* (1<=≤<=*n*<=≤<=200<=000, 1<=≤<=*t*<=≤<=109) — the length of Efim's grade and the number of seconds till the end of the break respectively. The second line contains the grade itself. It's guaranteed that the grade is a positive number, containing at least on...
Print the maximum grade that Efim can get in *t* seconds. Do not print trailing zeroes.
[ "6 1\n10.245\n", "6 2\n10.245\n", "3 100\n9.2\n" ]
[ "10.25\n", "10.3\n", "9.2\n" ]
In the first two samples Efim initially has grade 10.245. During the first second Efim can obtain grade 10.25, and then 10.3 during the next second. Note, that the answer 10.30 will be considered incorrect. In the third sample the optimal strategy is to not perform any rounding at all.
[ { "input": "6 1\n10.245", "output": "10.25" }, { "input": "6 2\n10.245", "output": "10.3" }, { "input": "3 100\n9.2", "output": "9.2" }, { "input": "12 5\n872.04488525", "output": "872.1" }, { "input": "35 8\n984227318.2031144444444444494637612", "output": "98...
46
0
-1
8,629
962
Students in Railway Carriage
[ "constructive algorithms", "greedy", "implementation" ]
null
null
There are $n$ consecutive seat places in a railway carriage. Each place is either empty or occupied by a passenger. The university team for the Olympiad consists of $a$ student-programmers and $b$ student-athletes. Determine the largest number of students from all $a+b$ students, which you can put in the railway carri...
The first line contain three integers $n$, $a$ and $b$ ($1 \le n \le 2\cdot10^{5}$, $0 \le a, b \le 2\cdot10^{5}$, $a + b &gt; 0$) — total number of seat places in the railway carriage, the number of student-programmers and the number of student-athletes. The second line contains a string with length $n$, consisting o...
Print the largest number of students, which you can put in the railway carriage so that no student-programmer is sitting next to a student-programmer and no student-athlete is sitting next to a student-athlete.
[ "5 1 1\n*...*\n", "6 2 3\n*...*.\n", "11 3 10\n.*....**.*.\n", "3 2 3\n***\n" ]
[ "2\n", "4\n", "7\n", "0\n" ]
In the first example you can put all student, for example, in the following way: *.AB* In the second example you can put four students, for example, in the following way: *BAB*B In the third example you can put seven students, for example, in the following way: B*ABAB**A*B The letter A means a student-programmer, an...
[ { "input": "5 1 1\n*...*", "output": "2" }, { "input": "6 2 3\n*...*.", "output": "4" }, { "input": "11 3 10\n.*....**.*.", "output": "7" }, { "input": "3 2 3\n***", "output": "0" }, { "input": "9 5 3\n*...*...*", "output": "6" }, { "input": "9 2 4\n*....
265
8,396,800
0
8,633
0
none
[ "none" ]
null
null
Fox Ciel is participating in a party in Prime Kingdom. There are *n* foxes there (include Fox Ciel). The i-th fox is *a**i* years old. They will have dinner around some round tables. You want to distribute foxes such that: 1. Each fox is sitting at some table. 1. Each table has at least 3 foxes sitting around it. 1...
The first line contains single integer *n* (3<=≤<=*n*<=≤<=200): the number of foxes in this party. The second line contains *n* integers *a**i* (2<=≤<=*a**i*<=≤<=104).
If it is impossible to do this, output "Impossible". Otherwise, in the first line output an integer *m* (): the number of tables. Then output *m* lines, each line should start with an integer *k* -=– the number of foxes around that table, and then *k* numbers — indices of fox sitting around that table in clockwise or...
[ "4\n3 4 8 9\n", "5\n2 2 2 2 2\n", "12\n2 3 4 5 6 7 8 9 10 11 12 13\n", "24\n2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\n" ]
[ "1\n4 1 2 4 3\n", "Impossible\n", "1\n12 1 2 3 6 5 12 9 8 7 10 11 4\n", "3\n6 1 2 3 6 5 4\n10 7 8 9 12 15 14 13 16 11 10\n8 17 18 23 22 19 20 21 24\n" ]
In example 1, they can sit around one table, their ages are: 3-8-9-4, adjacent sums are: 11, 17, 13 and 7, all those integers are primes. In example 2, it is not possible: the sum of 2+2 = 4 is not a prime number.
[ { "input": "4\n3 4 8 9", "output": "1\n4 1 2 4 3" }, { "input": "5\n2 2 2 2 2", "output": "Impossible" }, { "input": "12\n2 3 4 5 6 7 8 9 10 11 12 13", "output": "1\n12 1 2 3 6 5 12 9 8 7 10 11 4" }, { "input": "24\n2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24...
46
0
0
8,634
958
Maximum Control (easy)
[ "implementation" ]
null
null
The Resistance is trying to take control over all planets in a particular solar system. This solar system is shaped like a tree. More precisely, some planets are connected by bidirectional hyperspace tunnels in such a way that there is a path between every pair of the planets, but removing any tunnel would disconnect s...
The first line of the input contains an integer *N* (2<=≤<=*N*<=≤<=1000) – the number of planets in the galaxy. The next *N*<=-<=1 lines describe the hyperspace tunnels between the planets. Each of the *N*<=-<=1 lines contains two space-separated integers *u* and *v* (1<=≤<=*u*,<=*v*<=≤<=*N*) indicating that there is ...
A single integer denoting the number of remote planets.
[ "5\n4 1\n4 2\n1 3\n1 5\n", "4\n1 2\n4 3\n1 4\n" ]
[ "3\n", "2\n" ]
In the first example, only planets 2, 3 and 5 are connected by a single tunnel. In the second example, the remote planets are 2 and 3. Note that this problem has only two versions – easy and medium.
[ { "input": "5\n4 1\n4 2\n1 3\n1 5", "output": "3" }, { "input": "4\n1 2\n4 3\n1 4", "output": "2" }, { "input": "10\n4 3\n2 6\n10 1\n5 7\n5 8\n10 6\n5 9\n9 3\n2 9", "output": "4" } ]
0
0
-1
8,646
376
Lever
[ "implementation", "math" ]
null
null
You have a description of a lever as string *s*. We'll represent the string length as record |*s*|, then the lever looks as a horizontal bar with weights of length |*s*|<=-<=1 with exactly one pivot. We will assume that the bar is a segment on the *Ox* axis between points 0 and |*s*|<=-<=1. The decoding of the lever d...
The first line contains the lever description as a non-empty string *s* (3<=≤<=|*s*|<=≤<=106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the p...
Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance.
[ "=^==\n", "9===^==1\n", "2==^7==\n", "41^52==\n" ]
[ "balance\n", "left\n", "right\n", "balance\n" ]
As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples:
[ { "input": "=^==", "output": "balance" }, { "input": "9===^==1", "output": "left" }, { "input": "2==^7==", "output": "right" }, { "input": "41^52==", "output": "balance" }, { "input": "=^2=4=1===1=", "output": "right" }, { "input": "9=6===5==3=9=1=1^7=...
249
18,124,800
3
8,649
283
Cows and Sequence
[ "constructive algorithms", "data structures", "implementation" ]
null
null
Bessie and the cows are playing with sequences and need your help. They start with a sequence, initially containing just the number 0, and perform *n* operations. Each operation is one of the following: 1. Add the integer *x**i* to the first *a**i* elements of the sequence. 1. Append an integer *k**i* to the end of ...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=2·105) — the number of operations. The next *n* lines describe the operations. Each line will start with an integer *t**i* (1<=≤<=*t**i*<=≤<=3), denoting the type of the operation (see above). If *t**i*<==<=1, it will be followed by two integers *a**i*,<=*x**i...
Output *n* lines each containing the average of the numbers in the sequence after the corresponding operation. The answer will be considered correct if its absolute or relative error doesn't exceed 10<=-<=6.
[ "5\n2 1\n3\n2 3\n2 1\n3\n", "6\n2 1\n1 2 20\n2 2\n1 2 -3\n3\n3\n" ]
[ "0.500000\n0.000000\n1.500000\n1.333333\n1.500000\n", "0.500000\n20.500000\n14.333333\n12.333333\n17.500000\n17.000000\n" ]
In the second sample, the sequence becomes <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/fb5aaaa5dc516fe540cef52fd153768bfdb941c8.png" style="max-width: 100.0%;max-height: 100.0%;"/>
[ { "input": "5\n2 1\n3\n2 3\n2 1\n3", "output": "0.500000\n0.000000\n1.500000\n1.333333\n1.500000" }, { "input": "6\n2 1\n1 2 20\n2 2\n1 2 -3\n3\n3", "output": "0.500000\n20.500000\n14.333333\n12.333333\n17.500000\n17.000000" }, { "input": "1\n1 1 1", "output": "1.000000" }, { ...
1,500
10,547,200
0
8,660
730
Ber Patio
[]
null
null
Polycarp is a regular customer at the restaurant "Ber Patio". He likes having lunches there. "Ber Patio" has special discount program for regular customers. A customer can collect bonuses and partially cover expenses in the restaurant. Let's assume a customer currently has *b* bonuses and she has to pay *r* burles fo...
The first line contains two integer numbers *n* and *b* (1<=≤<=*n*<=≤<=5000, 0<=≤<=*b*<=≤<=105) — number of days and initial number of bonuses Polycarp has. The second line contains the integer sequence *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1000), where *a**i* is the amount of burles in the *i*-th day's receipt...
On the first line, print the expected minimal number of burles to pay for all *n* receipts. On the second line, print the sequence of integer numbers *b*1,<=*b*2,<=...,<=*b**n*, where *b**i* is the number of bonuses to use on the *i*-th day. If there are multiple solutions, print any of them.
[ "3 21\n12 75 52\n", "3 39\n58 64 33\n" ]
[ "110\n2 5 22 \n", "107\n28 4 16 \n" ]
none
[]
31
0
0
8,662
587
Duff in Mafia
[ "2-sat", "binary search" ]
null
null
Duff is one if the heads of Mafia in her country, Andarz Gu. Andarz Gu has *n* cities (numbered from 1 to *n*) connected by *m* bidirectional roads (numbered by 1 to *m*). Each road has a destructing time, and a color. *i*-th road connects cities *v**i* and *u**i* and its color is *c**i* and its destructing time is *t...
The first line of input contains two integers *n* and *m* (2<=≤<=*n*<=≤<=5<=×<=104 and 1<=≤<=*m*<=≤<=5<=×<=104), number of cities and number of roads in the country. The next *m* lines contain the the roads. *i*<=-<=*th* of them contains four integers *v**i*,<=*u**i*,<=*c**i* and *t**i* (1<=≤<=*v**i*,<=*u**i*<=≤<=*n*,...
In the first line of input, print "Yes" (without quotes) if satisfying the first condition is possible and "No" (without quotes) otherwise. If it is possible, then you have to print two integers *t* and *k* in the second line, the minimum destructing time and the number of roads in the matching (). In the third line ...
[ "5 7\n2 1 3 7\n3 1 1 6\n5 4 1 8\n4 5 1 1\n3 2 2 3\n4 5 2 5\n2 3 2 4\n", "3 5\n3 2 1 3\n1 3 1 1\n3 2 1 4\n1 3 2 2\n1 3 2 10\n" ]
[ "Yes\n3 2\n4 5\n", "No\n" ]
Graph of Andarz Gu in the first sample case is as follows: A solution would be to destruct the roads with crosses. Graph of Andarz Gu in the second sample case is as follows:
[]
93
2,252,800
-1
8,669
900
Remove Extra One
[ "brute force", "data structures", "math" ]
null
null
You are given a permutation *p* of length *n*. Remove one element from permutation to make the number of records the maximum possible. We remind that in a sequence of numbers *a*1,<=*a*2,<=...,<=*a**k* the element *a**i* is a record if for every integer *j* (1<=≤<=*j*<=&lt;<=*i*) the following holds: *a**j*<=&lt;<=*a*...
The first line contains the only integer *n* (1<=≤<=*n*<=≤<=105) — the length of the permutation. The second line contains *n* integers *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=*n*) — the permutation. All the integers are distinct.
Print the only integer — the element that should be removed to make the number of records the maximum possible. If there are multiple such elements, print the smallest one.
[ "1\n1\n", "5\n5 1 2 3 4\n" ]
[ "1\n", "5\n" ]
In the first example the only element can be removed.
[ { "input": "1\n1", "output": "1" }, { "input": "5\n5 1 2 3 4", "output": "5" }, { "input": "5\n4 3 5 1 2", "output": "1" }, { "input": "9\n9 5 8 6 3 2 4 1 7", "output": "9" }, { "input": "3\n3 2 1", "output": "1" }, { "input": "7\n1 6 7 4 2 5 3", "...
186
2,560,000
-1
8,679
0
none
[ "none" ]
null
null
You are given a string *s*, consisting of small Latin letters. Let's denote the length of the string as |*s*|. The characters in the string are numbered starting from 1. Your task is to find out if it is possible to rearrange characters in string *s* so that for any prime number *p*<=≤<=|*s*| and for any integer *i* ...
The only line contains the initial string *s*, consisting of small Latin letters (1<=≤<=|*s*|<=≤<=1000).
If it is possible to rearrange the characters in the string so that the above-mentioned conditions were fulfilled, then print in the first line "YES" (without the quotes) and print on the second line one of the possible resulting strings. If such permutation is impossible to perform, then print the single string "NO".
[ "abc\n", "abcd\n", "xxxyxxx\n" ]
[ "YES\nabc\n", "NO\n", "YES\nxxxxxxy\n" ]
In the first sample any of the six possible strings will do: "abc", "acb", "bac", "bca", "cab" or "cba". In the second sample no letter permutation will satisfy the condition at *p* = 2 (*s*<sub class="lower-index">2</sub> = *s*<sub class="lower-index">4</sub>). In the third test any string where character "y" doesn'...
[ { "input": "abc", "output": "YES\nabc" }, { "input": "abcd", "output": "NO" }, { "input": "xxxyxxx", "output": "YES\nxxxxxxy" }, { "input": "xxxjddyxduquybxdxx", "output": "NO" }, { "input": "jjjjjjjjjjzjjjjjjjjjjjjjjjj", "output": "YES\njjjjjjjjjjjjjjjjjjjjjj...
216
20,275,200
0
8,690
1,004
Sonya and Matrix
[ "brute force", "constructive algorithms", "implementation" ]
null
null
Since Sonya has just learned the basics of matrices, she decided to play with them a little bit. Sonya imagined a new type of matrices that she called rhombic matrices. These matrices have exactly one zero, while all other cells have the Manhattan distance to the cell containing the zero. The cells with equal numbers ...
The first line contains a single integer $t$ ($1\leq t\leq 10^6$) — the number of cells in the matrix. The second line contains $t$ integers $a_1, a_2, \ldots, a_t$ ($0\leq a_i&lt; t$) — the values in the cells in arbitrary order.
In the first line, print two positive integers $n$ and $m$ ($n \times m = t$) — the size of the matrix. In the second line, print two integers $x$ and $y$ ($1\leq x\leq n$, $1\leq y\leq m$) — the row number and the column number where the cell with $0$ is located. If there are multiple possible answers, print any of ...
[ "20\n1 0 2 3 5 3 2 1 3 2 3 1 4 2 1 4 2 3 2 4\n", "18\n2 2 3 2 4 3 3 3 0 2 4 2 1 3 2 1 1 1\n", "6\n2 1 0 2 1 2\n" ]
[ "4 5\n2 2\n", "3 6\n2 3\n", "-1\n" ]
You can see the solution to the first example in the legend. You also can choose the cell $(2, 2)$ for the cell where $0$ is located. You also can choose a $5\times 4$ matrix with zero at $(4, 2)$. In the second example, there is a $3\times 6$ matrix, where the zero is located at $(2, 3)$ there. In the third example,...
[ { "input": "20\n1 0 2 3 5 3 2 1 3 2 3 1 4 2 1 4 2 3 2 4", "output": "4 5\n2 2" }, { "input": "18\n2 2 3 2 4 3 3 3 0 2 4 2 1 3 2 1 1 1", "output": "3 6\n2 3" }, { "input": "6\n2 1 0 2 1 2", "output": "-1" }, { "input": "1\n0", "output": "1 1\n1 1" }, { "input": "7\...
155
8,396,800
-1
8,720
128
Games with Rectangle
[ "combinatorics", "dp" ]
null
null
In this task Anna and Maria play the following game. Initially they have a checkered piece of paper with a painted *n*<=×<=*m* rectangle (only the border, no filling). Anna and Maria move in turns and Anna starts. During each move one should paint inside the last-painted rectangle a new lesser rectangle (along the grid...
The first and only line contains three integers: *n*,<=*m*,<=*k* (1<=≤<=*n*,<=*m*,<=*k*<=≤<=1000).
Print the single number — the number of the ways to play the game. As this number can be very big, print the value modulo 1000000007 (109<=+<=7).
[ "3 3 1\n", "4 4 1\n", "6 7 2\n" ]
[ "1\n", "9\n", "75\n" ]
Two ways to play the game are considered different if the final pictures are different. In other words, if one way contains a rectangle that is not contained in the other way. In the first sample Anna, who performs her first and only move, has only one possible action plan — insert a 1 × 1 square inside the given 3 × ...
[ { "input": "3 3 1", "output": "1" }, { "input": "4 4 1", "output": "9" }, { "input": "6 7 2", "output": "75" }, { "input": "5 5 3", "output": "0" }, { "input": "2 2 1", "output": "0" }, { "input": "999 999 499", "output": "1" }, { "input": ...
482
114,176,000
3
8,750
696
Legen...
[ "data structures", "dp", "matrices", "strings" ]
null
null
Barney was hanging out with Nora for a while and now he thinks he may have feelings for her. Barney wants to send her a cheesy text message and wants to make her as happy as possible. Initially, happiness level of Nora is 0. Nora loves some pickup lines like "I'm falling for you" and stuff. Totally, she knows *n* pick...
The first line of input contains two integers *n* and *l* (1<=≤<=*n*<=≤<=200,<=1<=≤<=*l*<=≤<=1014) — the number of pickup lines and the maximum length of Barney's text. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100), meaning that Nora's happiness level increases by *a**i* after...
Print the only integer — the maximum possible value of Nora's happiness level after reading Barney's text.
[ "3 6\n3 2 1\nheart\nearth\nart\n", "3 6\n3 2 8\nheart\nearth\nart\n" ]
[ "6\n", "16\n" ]
An optimal answer for the first sample case is hearth containing each pickup line exactly once. An optimal answer for the second sample case is artart.
[]
30
0
0
8,805
475
Bayan Bus
[ "implementation" ]
null
null
The final round of Bayan Programming Contest will be held in Tehran, and the participants will be carried around with a yellow bus. The bus has 34 passenger seats: 4 seats in the last row and 3 seats in remaining rows. The event coordinator has a list of *k* participants who should be picked up at the airport. When a...
The only line of input contains integer *k*, (0<=≤<=*k*<=≤<=34), denoting the number of participants.
Print the figure of a bus with *k* passengers as described in sample tests. Character '#' denotes an empty seat, while 'O' denotes a taken seat. 'D' is the bus driver and other characters in the output are for the purpose of beautifying the figure. Strictly follow the sample test cases output format. Print exactly six ...
[ "9\n", "20\n" ]
[ "+------------------------+\n|O.O.O.#.#.#.#.#.#.#.#.|D|)\n|O.O.O.#.#.#.#.#.#.#.#.|.|\n|O.......................|\n|O.O.#.#.#.#.#.#.#.#.#.|.|)\n+------------------------+\n", "+------------------------+\n|O.O.O.O.O.O.O.#.#.#.#.|D|)\n|O.O.O.O.O.O.#.#.#.#.#.|.|\n|O.......................|\n|O.O.O.O.O.O.#.#.#.#.#.|.|...
none
[ { "input": "9", "output": "+------------------------+\n|O.O.O.#.#.#.#.#.#.#.#.|D|)\n|O.O.O.#.#.#.#.#.#.#.#.|.|\n|O.......................|\n|O.O.#.#.#.#.#.#.#.#.#.|.|)\n+------------------------+" }, { "input": "20", "output": "+------------------------+\n|O.O.O.O.O.O.O.#.#.#.#.|D|)\n|O.O.O.O.O....
62
0
3
8,816
135
Cycle
[ "brute force", "dfs and similar", "implementation" ]
null
null
Little Petya very much likes rectangular tables that consist of characters "0" and "1". Recently he has received one such table as a gift from his mother. The table contained *n* rows and *m* columns. The rows are numbered from top to bottom from 1 to *n*, the columns are numbered from the left to the right from 1 to *...
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the number of rows and columns in the table, respectively. Each of the following *n* lines contains *m* characters. Each character can be either "0" or "1".
Print a single number — the length of the longest cool cycle in the table. If such cycles do not exist, print 0.
[ "3 3\n111\n101\n111\n", "5 5\n01010\n10101\n01010\n10101\n01010\n", "7 7\n1111111\n1000101\n1000101\n1000101\n1000111\n1000001\n1111111\n", "5 5\n11111\n10001\n10101\n10001\n11111\n" ]
[ "8\n", "0\n", "24\n", "0\n" ]
In the first example there's only one cycle and it is cool. In the second sample there's no cycle at all. In the third sample there are two cool cycles: their lengths are 12 and 24. In the fourth sample there also is only one cycle but it isn't cool as there's a cell containing "1" inside this cycle.
[]
60
0
0
8,828
645
Enduring Exodus
[ "binary search", "two pointers" ]
null
null
In an attempt to escape the Mischievous Mess Makers' antics, Farmer John has abandoned his farm and is traveling to the other side of Bovinia. During the journey, he and his *k* cows have decided to stay at the luxurious Grand Moo-dapest Hotel. The hotel consists of *n* rooms located in a row, some of which are occupie...
The first line of the input contains two integers *n* and *k* (1<=≤<=*k*<=&lt;<=*n*<=≤<=100<=000) — the number of rooms in the hotel and the number of cows travelling with Farmer John. The second line contains a string of length *n* describing the rooms. The *i*-th character of the string will be '0' if the *i*-th roo...
Print the minimum possible distance between Farmer John's room and his farthest cow.
[ "7 2\n0100100\n", "5 1\n01010\n", "3 2\n000\n" ]
[ "2\n", "2\n", "1\n" ]
In the first sample, Farmer John can book room 3 for himself, and rooms 1 and 4 for his cows. The distance to the farthest cow is 2. Note that it is impossible to make this distance 1, as there is no block of three consecutive unoccupied rooms. In the second sample, Farmer John can book room 1 for himself and room 3 f...
[ { "input": "7 2\n0100100", "output": "2" }, { "input": "5 1\n01010", "output": "2" }, { "input": "3 2\n000", "output": "1" }, { "input": "10 1\n1101111101", "output": "6" }, { "input": "2 1\n00", "output": "1" }, { "input": "3 1\n010", "output": "2...
390
307,200
3
8,831
32
Constellation
[ "implementation" ]
D. Constellation
2
256
A star map in Berland is a checked field *n*<=×<=*m* squares. In each square there is or there is not a star. The favourite constellation of all Berland's astronomers is the constellation of the Cross. This constellation can be formed by any 5 stars so, that for some integer *x* (radius of the constellation) the follow...
The first line contains three integers *n*, *m* and *k* (1<=≤<=*n*,<=*m*<=≤<=300,<=1<=≤<=*k*<=≤<=3·107) — height and width of the map and index of the required constellation respectively. The upper-left corner has coordinates (1,<=1), and the lower-right — (*n*,<=*m*). Then there follow *n* lines, *m* characters each —...
If the number of the constellations is less than *k*, output -1. Otherwise output 5 lines, two integers each — coordinates of the required constellation. Output the stars in the following order: central, upper, lower, left, right.
[ "5 6 1\n....*.\n...***\n....*.\n..*...\n.***..\n", "5 6 2\n....*.\n...***\n....*.\n..*...\n.***..\n", "7 7 2\n...*...\n.......\n...*...\n*.***.*\n...*...\n.......\n...*...\n" ]
[ "2 5\n1 5\n3 5\n2 4\n2 6\n", "-1\n", "4 4\n1 4\n7 4\n4 1\n4 7\n" ]
none
[ { "input": "5 6 1\n....*.\n...***\n....*.\n..*...\n.***..", "output": "2 5\n1 5\n3 5\n2 4\n2 6" }, { "input": "5 6 2\n....*.\n...***\n....*.\n..*...\n.***..", "output": "-1" }, { "input": "5 5 1\n.....\n.....\n.*..*\n*.*..\n....*", "output": "-1" }, { "input": "5 5 3\n*.***\n...
2,000
95,027,200
0
8,935
0
none
[ "none" ]
null
null
There are *n* points on a straight line, and the *i*-th point among them is located at *x**i*. All these coordinates are distinct. Determine the number *m* — the smallest number of points you should add on the line to make the distances between all neighboring points equal.
The first line contains a single integer *n* (3<=≤<=*n*<=≤<=100<=000) — the number of points. The second line contains a sequence of integers *x*1,<=*x*2,<=...,<=*x**n* (<=-<=109<=≤<=*x**i*<=≤<=109) — the coordinates of the points. All these coordinates are distinct. The points can be given in an arbitrary order.
Print a single integer *m* — the smallest number of points you should add on the line to make the distances between all neighboring points equal.
[ "3\n-5 10 5\n", "6\n100 200 400 300 600 500\n", "4\n10 9 0 -1\n" ]
[ "1\n", "0\n", "8\n" ]
In the first example you can add one point with coordinate 0. In the second example the distances between all neighboring points are already equal, so you shouldn't add anything.
[ { "input": "3\n-5 10 5", "output": "1" }, { "input": "6\n100 200 400 300 600 500", "output": "0" }, { "input": "4\n10 9 0 -1", "output": "8" }, { "input": "3\n1 4 7", "output": "0" }, { "input": "3\n1 4 6", "output": "3" }, { "input": "3\n1 2 6", "...
62
7,065,600
0
8,938
86
Powerful array
[ "data structures", "implementation", "math", "two pointers" ]
D. Powerful array
5
256
An array of positive integers *a*1,<=*a*2,<=...,<=*a**n* is given. Let us consider its arbitrary subarray *a**l*,<=*a**l*<=+<=1...,<=*a**r*, where 1<=≤<=*l*<=≤<=*r*<=≤<=*n*. For every positive integer *s* denote by *K**s* the number of occurrences of *s* into the subarray. We call the power of the subarray the sum of p...
First line contains two integers *n* and *t* (1<=≤<=*n*,<=*t*<=≤<=200000) — the array length and the number of queries correspondingly. Second line contains *n* positive integers *a**i* (1<=≤<=*a**i*<=≤<=106) — the elements of the array. Next *t* lines contain two positive integers *l*, *r* (1<=≤<=*l*<=≤<=*r*<=≤<=*n*...
Output *t* lines, the *i*-th line of the output should contain single positive integer — the power of the *i*-th query subarray. Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preferred to use cout stream (also you may use %I64d).
[ "3 2\n1 2 1\n1 2\n1 3\n", "8 3\n1 1 2 2 1 3 1 1\n2 7\n1 6\n2 7\n" ]
[ "3\n6\n", "20\n20\n20\n" ]
Consider the following array (see the second sample) and its [2, 7] subarray (elements of the subarray are colored):
[ { "input": "3 2\n1 2 1\n1 2\n1 3", "output": "3\n6" }, { "input": "8 3\n1 1 2 2 1 3 1 1\n2 7\n1 6\n2 7", "output": "20\n20\n20" }, { "input": "20 8\n1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2\n4 15\n1 2\n2 20\n7 7\n13 18\n7 7\n3 19\n3 8", "output": "108\n3\n281\n1\n27\n1\n209\n27" }, ...
186
0
-1
8,995
915
Almost Acyclic Graph
[ "dfs and similar", "graphs" ]
null
null
You are given a [directed graph](https://en.wikipedia.org/wiki/Directed_graph) consisting of *n* vertices and *m* edges (each edge is directed, so it can be traversed in only one direction). You are allowed to remove at most one edge from it. Can you make this graph [acyclic](https://en.wikipedia.org/wiki/Directed_acy...
The first line contains two integers *n* and *m* (2<=≤<=*n*<=≤<=500, 1<=≤<=*m*<=≤<=*min*(*n*(*n*<=-<=1),<=100000)) — the number of vertices and the number of edges, respectively. Then *m* lines follow. Each line contains two integers *u* and *v* denoting a directed edge going from vertex *u* to vertex *v* (1<=≤<=*u*,<...
If it is possible to make this graph acyclic by removing at most one edge, print YES. Otherwise, print NO.
[ "3 4\n1 2\n2 3\n3 2\n3 1\n", "5 6\n1 2\n2 3\n3 2\n3 1\n2 1\n4 5\n" ]
[ "YES\n", "NO\n" ]
In the first example you can remove edge <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/29f71c065c3536e88b54429c734103ad3604f68b.png" style="max-width: 100.0%;max-height: 100.0%;"/>, and the graph becomes acyclic. In the second example you have to remove at least two edges (for example, <...
[ { "input": "3 4\n1 2\n2 3\n3 2\n3 1", "output": "YES" }, { "input": "5 6\n1 2\n2 3\n3 2\n3 1\n2 1\n4 5", "output": "NO" }, { "input": "2 2\n1 2\n2 1", "output": "YES" }, { "input": "7 7\n1 3\n3 6\n3 7\n5 3\n6 2\n6 7\n7 2", "output": "YES" }, { "input": "500 50\n39...
1,000
21,299,200
0
9,002
691
Exponential notation
[ "implementation", "strings" ]
null
null
You are given a positive decimal number *x*. Your task is to convert it to the "simple exponential notation". Let *x*<==<=*a*·10*b*, where 1<=≤<=*a*<=&lt;<=10, then in general case the "simple exponential notation" looks like "aEb". If *b* equals to zero, the part "Eb" should be skipped. If *a* is an integer, it shou...
The only line contains the positive decimal number *x*. The length of the line will not exceed 106. Note that you are given too large number, so you can't use standard built-in data types "float", "double" and other.
Print the only line — the "simple exponential notation" of the given number *x*.
[ "16\n", "01.23400\n", ".100\n", "100.\n" ]
[ "1.6E1\n", "1.234\n", "1E-1\n", "1E2\n" ]
none
[ { "input": "16", "output": "1.6E1" }, { "input": "01.23400", "output": "1.234" }, { "input": ".100", "output": "1E-1" }, { "input": "100.", "output": "1E2" }, { "input": "9000", "output": "9E3" }, { "input": "0.0012", "output": "1.2E-3" }, { ...
312
10,752,000
3
9,005
799
T-shirt buying
[ "data structures", "implementation" ]
null
null
A new pack of *n* t-shirts came to a shop. Each of the t-shirts is characterized by three integers *p**i*, *a**i* and *b**i*, where *p**i* is the price of the *i*-th t-shirt, *a**i* is front color of the *i*-th t-shirt and *b**i* is back color of the *i*-th t-shirt. All values *p**i* are distinct, and values *a**i* and...
The first line contains single integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of t-shirts. The following line contains sequence of integers *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=1<=000<=000<=000), where *p**i* equals to the price of the *i*-th t-shirt. The following line contains sequence of integers *a*1,<...
Print to the first line *m* integers — the *j*-th integer should be equal to the price of the t-shirt which the *j*-th buyer will buy. If the *j*-th buyer won't buy anything, print -1.
[ "5\n300 200 400 500 911\n1 2 1 2 3\n2 1 3 2 1\n6\n2 3 1 2 1 1\n", "2\n1000000000 1\n1 1\n1 2\n2\n2 1\n" ]
[ "200 400 300 500 911 -1 \n", "1 1000000000 \n" ]
none
[ { "input": "5\n300 200 400 500 911\n1 2 1 2 3\n2 1 3 2 1\n6\n2 3 1 2 1 1", "output": "200 400 300 500 911 -1 " }, { "input": "2\n1000000000 1\n1 1\n1 2\n2\n2 1", "output": "1 1000000000 " }, { "input": "10\n251034796 163562337 995167403 531046374 341924810 828969071 971837553 183763940 8...
3,000
24,576,000
0
9,041
837
Vasya's Function
[ "binary search", "implementation", "math" ]
null
null
Vasya is studying number theory. He has denoted a function *f*(*a*,<=*b*) such that: - *f*(*a*,<=0)<==<=0; - *f*(*a*,<=*b*)<==<=1<=+<=*f*(*a*,<=*b*<=-<=*gcd*(*a*,<=*b*)), where *gcd*(*a*,<=*b*) is the greatest common divisor of *a* and *b*. Vasya has two numbers *x* and *y*, and he wants to calculate *f*(*x*,<=*y*)...
The first line contains two integer numbers *x* and *y* (1<=≤<=*x*,<=*y*<=≤<=1012).
Print *f*(*x*,<=*y*).
[ "3 5\n", "6 3\n" ]
[ "3\n", "1\n" ]
none
[ { "input": "3 5", "output": "3" }, { "input": "6 3", "output": "1" }, { "input": "1000000009 1000000008", "output": "1000000008" }, { "input": "1000000007 1000000006", "output": "1000000006" }, { "input": "2000000018 2000000017", "output": "1000000009" }, ...
77
5,734,400
0
9,043
0
none
[ "none" ]
null
null
Alyona has a tree with *n* vertices. The root of the tree is the vertex 1. In each vertex Alyona wrote an positive integer, in the vertex *i* she wrote *a**i*. Moreover, the girl wrote a positive integer to every edge of the tree (possibly, different integers on different edges). Let's define *dist*(*v*,<=*u*) as the ...
The first line contains single integer *n* (1<=≤<=*n*<=≤<=2·105). The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the integers written in the vertices. The next (*n*<=-<=1) lines contain two integers each. The *i*-th of these lines contains integers *p**i* and *w**i* (1<=≤<=*...
Print *n* integers — the *i*-th of these numbers should be equal to the number of vertices that the *i*-th vertex controls.
[ "5\n2 5 1 4 6\n1 7\n1 1\n3 5\n3 6\n", "5\n9 7 8 6 5\n1 1\n2 1\n3 1\n4 1\n" ]
[ "1 0 1 0 0\n", "4 3 2 1 0\n" ]
In the example test case the vertex 1 controls the vertex 3, the vertex 3 controls the vertex 5 (note that is doesn't mean the vertex 1 controls the vertex 5).
[ { "input": "5\n2 5 1 4 6\n1 7\n1 1\n3 5\n3 6", "output": "1 0 1 0 0" }, { "input": "5\n9 7 8 6 5\n1 1\n2 1\n3 1\n4 1", "output": "4 3 2 1 0" }, { "input": "1\n1", "output": "0" }, { "input": "2\n1 1\n1 1", "output": "1 0" }, { "input": "10\n40 77 65 14 86 16 2 51 ...
46
0
-1
9,048
316
Special Task
[ "math" ]
null
null
Special Agent Smart Beaver works in a secret research department of ABBYY. He's been working there for a long time and is satisfied with his job, as it allows him to eat out in the best restaurants and order the most expensive and exotic wood types there. The content special agent has got an important task: to get th...
The first line contains string *s* — the hint to the safe code. String *s* consists of the following characters: ?, 0-9, A-J. It is guaranteed that the first character of string *s* doesn't equal to character 0. The input limits for scoring 30 points are (subproblem A1): - 1<=≤<=|*s*|<=≤<=5. The input limits for s...
Print the number of codes that match the given hint.
[ "AJ\n", "1?AA\n" ]
[ "81\n", "100\n" ]
none
[ { "input": "AJ", "output": "81" }, { "input": "1?AA", "output": "100" }, { "input": "?", "output": "9" }, { "input": "7", "output": "1" }, { "input": "A", "output": "9" }, { "input": "BBB?", "output": "90" }, { "input": "BC??", "output"...
372
819,200
-1
9,049
923
Perfect Security
[ "data structures", "greedy", "strings", "trees" ]
null
null
Alice has a very important message *M* consisting of some non-negative integers that she wants to keep secret from Eve. Alice knows that the only theoretically secure cipher is one-time pad. Alice generates a random key *K* of the length equal to the message's length. Alice computes the bitwise xor of each element of t...
The first line contains a single integer *N* (1<=≤<=*N*<=≤<=300000), the length of the message. The second line contains *N* integers *A*1,<=*A*2,<=...,<=*A**N* (0<=≤<=*A**i*<=&lt;<=230) representing the encrypted message. The third line contains *N* integers *P*1,<=*P*2,<=...,<=*P**N* (0<=≤<=*P**i*<=&lt;<=230) repr...
Output a single line with *N* integers, the lexicographically smallest possible message *O*. Note that all its elements should be non-negative.
[ "3\n8 4 13\n17 2 7\n", "5\n12 7 87 22 11\n18 39 9 12 16\n", "10\n331415699 278745619 998190004 423175621 42983144 166555524 843586353 802130100 337889448 685310951\n226011312 266003835 342809544 504667531 529814910 684873393 817026985 844010788 993949858 1031395667\n" ]
[ "10 3 28\n", "0 14 69 6 44\n", "128965467 243912600 4281110 112029883 223689619 76924724 429589 119397893 613490433 362863284\n" ]
In the first case, the solution is (10, 3, 28), since <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a896b30a69636d1bfbfa981eae10650f5fee843c.png" style="max-width: 100.0%;max-height: 100.0%;"/>, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/e383e4333ea37c465...
[ { "input": "3\n8 4 13\n17 2 7", "output": "10 3 28" }, { "input": "5\n12 7 87 22 11\n18 39 9 12 16", "output": "0 14 69 6 44" }, { "input": "10\n331415699 278745619 998190004 423175621 42983144 166555524 843586353 802130100 337889448 685310951\n226011312 266003835 342809544 504667531 529...
3,500
161,996,800
0
9,058
383
Vowels
[ "combinatorics", "divide and conquer", "dp" ]
null
null
Iahubina is tired of so many complicated languages, so she decided to invent a new, simple language. She already made a dictionary consisting of *n* 3-words. A 3-word is a sequence of exactly 3 lowercase letters of the first 24 letters of the English alphabet (*a* to *x*). She decided that some of the letters are vowel...
The first line contains one integer, *n* (1<=≤<=*n*<=≤<=104). Each of the next *n* lines contains a 3-word consisting of 3 lowercase letters. There will be no two identical 3-words.
Print one number, the *xor* of the squared answers to the queries.
[ "5\nabc\naaa\nada\nbcd\ndef\n" ]
[ "0\n" ]
none
[ { "input": "5\nabc\naaa\nada\nbcd\ndef", "output": "0" }, { "input": "100\namd\namj\natr\nbcp\nbjm\ncna\ncpj\ncse\ndij\ndjp\ndlv\nebk\nedf\nelw\nfbr\nfcl\nfhs\nflo\nfmj\ngcg\ngen\nghg\ngvb\ngxx\nhbe\nhbf\nhgu\nhlv\nhqa\nibg\nifp\nima\nitt\nivl\nixu\njle\njli\nket\nkit\nkws\nlep\nles\nleu\nmbp\nmci\n...
30
0
0
9,117
342
Xenia and Spies
[ "brute force", "greedy", "implementation" ]
null
null
Xenia the vigorous detective faced *n* (*n*<=≥<=2) foreign spies lined up in a row. We'll consider the spies numbered from 1 to *n* from left to right. Spy *s* has an important note. He has to pass the note to spy *f*. Xenia interrogates the spies in several steps. During one step the spy keeping the important note c...
The first line contains four integers *n*, *m*, *s* and *f* (1<=≤<=*n*,<=*m*<=≤<=105; 1<=≤<=*s*,<=*f*<=≤<=*n*; *s*<=≠<=*f*; *n*<=≥<=2). Each of the following *m* lines contains three integers *t**i*,<=*l**i*,<=*r**i* (1<=≤<=*t**i*<=≤<=109,<=1<=≤<=*l**i*<=≤<=*r**i*<=≤<=*n*). It is guaranteed that *t*1<=&lt;<=*t*2<=&lt;<...
Print *k* characters in a line: the *i*-th character in the line must represent the spies' actions on step *i*. If on step *i* the spy with the note must pass the note to the spy with a lesser number, the *i*-th character should equal "L". If on step *i* the spy with the note must pass it to the spy with a larger numbe...
[ "3 5 1 3\n1 1 2\n2 2 3\n3 3 3\n4 1 1\n10 1 3\n" ]
[ "XXRR\n" ]
none
[ { "input": "3 5 1 3\n1 1 2\n2 2 3\n3 3 3\n4 1 1\n10 1 3", "output": "XXRR" }, { "input": "2 3 2 1\n1 1 2\n2 1 2\n4 1 2", "output": "XXL" }, { "input": "5 11 1 5\n1 1 5\n2 2 2\n3 1 1\n4 3 3\n5 3 3\n6 1 1\n7 4 4\n8 4 5\n10 1 3\n11 5 5\n13 1 5", "output": "XXXRXRXXRR" }, { "inpu...
62
0
0
9,124
958
Death Stars (medium)
[ "hashing", "strings" ]
null
null
The stardate is 1983, and Princess Heidi is getting better at detecting the Death Stars. This time, two Rebel spies have yet again given Heidi two maps with the possible locations of the Death Star. Since she got rid of all double agents last time, she knows that both maps are correct, and indeed show the map of the so...
The first line of the input contains two space-separated integers *N* and *M* (1<=≤<=*N*<=≤<=2000, 1<=≤<=*M*<=≤<=200, *M*<=≤<=*N*). The next *N* lines each contain *M* lower-case Latin characters (a-z), denoting the first map. Different characters correspond to different cosmic object types. The next *M* lines each con...
The only line of the output should contain two space-separated integers *i* and *j*, denoting that the section of size *M*<=×<=*M* in the first map that starts at the *i*-th row is equal to the section of the second map that starts at the *j*-th column. Rows and columns are numbered starting from 1. If there are sever...
[ "10 5\nsomer\nandom\nnoise\nmayth\neforc\nebewi\nthyou\nhctwo\nagain\nnoise\nsomermayth\nandomeforc\nnoiseebewi\nagainthyou\nnoisehctwo\n" ]
[ "4 6\n" ]
The 5-by-5 grid for the first test case looks like this:
[ { "input": "10 5\nsomer\nandom\nnoise\nmayth\neforc\nebewi\nthyou\nhctwo\nagain\nnoise\nsomermayth\nandomeforc\nnoiseebewi\nagainthyou\nnoisehctwo", "output": "4 6" }, { "input": "1 1\ng\ng", "output": "1 1" } ]
1,715
154,214,400
3
9,141
0
none
[ "none" ]
null
null
Santa Claus likes palindromes very much. There was his birthday recently. *k* of his friends came to him to congratulate him, and each of them presented to him a string *s**i* having the same length *n*. We denote the beauty of the *i*-th string by *a**i*. It can happen that *a**i* is negative — that means that Santa d...
The first line contains two positive integers *k* and *n* divided by space and denoting the number of Santa friends and the length of every string they've presented, respectively (1<=≤<=*k*,<=*n*<=≤<=100<=000; *n*·*k* <=≤<=100<=000). *k* lines follow. The *i*-th of them contains the string *s**i* and its beauty *a**i*...
In the only line print the required maximum possible beauty.
[ "7 3\nabb 2\naaa -3\nbba -1\nzyz -4\nabb 5\naaa 7\nxyx 4\n", "3 1\na 1\na 2\na 3\n", "2 5\nabcde 10000\nabcde 10000\n" ]
[ "12\n", "6\n", "0\n" ]
In the first example Santa can obtain abbaaaxyxaaabba by concatenating strings 5, 2, 7, 6 and 3 (in this order).
[ { "input": "7 3\nabb 2\naaa -3\nbba -1\nzyz -4\nabb 5\naaa 7\nxyx 4", "output": "12" }, { "input": "3 1\na 1\na 2\na 3", "output": "6" }, { "input": "2 5\nabcde 10000\nabcde 10000", "output": "0" }, { "input": "10 10\nnjxbzflaka -1\nfelbvvtkja 6\ngxiuztqkcw 5\naomvscmtti 6\nj...
46
0
-1
9,146