contestId
int64
0
1.01k
name
stringlengths
2
58
tags
listlengths
0
11
title
stringclasses
523 values
time-limit
stringclasses
8 values
memory-limit
stringclasses
8 values
problem-description
stringlengths
0
7.15k
input-specification
stringlengths
0
2.05k
output-specification
stringlengths
0
1.5k
demo-input
listlengths
0
7
demo-output
listlengths
0
7
note
stringlengths
0
5.24k
test_cases
listlengths
0
402
timeConsumedMillis
int64
0
8k
memoryConsumedBytes
int64
0
537M
score
float64
-1
3.99
__index_level_0__
int64
0
621k
501
Contest
[ "implementation" ]
null
null
Misha and Vasya participated in a Codeforces contest. Unfortunately, each of them solved only one problem, though successfully submitted it at the first attempt. Misha solved the problem that costs *a* points and Vasya solved the problem that costs *b* points. Besides, Misha submitted the problem *c* minutes after the ...
The first line contains four integers *a*, *b*, *c*, *d* (250<=≤<=*a*,<=*b*<=≤<=3500, 0<=≤<=*c*,<=*d*<=≤<=180). It is guaranteed that numbers *a* and *b* are divisible by 250 (just like on any real Codeforces round).
Output on a single line: "Misha" (without the quotes), if Misha got more points than Vasya. "Vasya" (without the quotes), if Vasya got more points than Misha. "Tie" (without the quotes), if both of them got the same number of points.
[ "500 1000 20 30\n", "1000 1000 1 1\n", "1500 1000 176 177\n" ]
[ "Vasya\n", "Tie\n", "Misha\n" ]
none
[ { "input": "500 1000 20 30", "output": "Vasya" }, { "input": "1000 1000 1 1", "output": "Tie" }, { "input": "1500 1000 176 177", "output": "Misha" }, { "input": "1500 1000 74 177", "output": "Misha" }, { "input": "750 2500 175 178", "output": "Vasya" }, { ...
31
0
-1
1,679
433
Kitahara Haruki's Gift
[ "brute force", "implementation" ]
null
null
Kitahara Haruki has bought *n* apples for Touma Kazusa and Ogiso Setsuna. Now he wants to divide all the apples between the friends. Each apple weights 100 grams or 200 grams. Of course Kitahara Haruki doesn't want to offend any of his friend. Therefore the total weight of the apples given to Touma Kazusa must be equa...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of apples. The second line contains *n* integers *w*1,<=*w*2,<=...,<=*w**n* (*w**i*<==<=100 or *w**i*<==<=200), where *w**i* is the weight of the *i*-th apple.
In a single line print "YES" (without the quotes) if it is possible to divide all the apples between his friends. Otherwise print "NO" (without the quotes).
[ "3\n100 200 100\n", "4\n100 100 100 200\n" ]
[ "YES\n", "NO\n" ]
In the first test sample Kitahara Haruki can give the first and the last apple to Ogiso Setsuna and the middle apple to Touma Kazusa.
[ { "input": "3\n100 200 100", "output": "YES" }, { "input": "4\n100 100 100 200", "output": "NO" }, { "input": "1\n100", "output": "NO" }, { "input": "1\n200", "output": "NO" }, { "input": "2\n100 100", "output": "YES" }, { "input": "2\n200 200", "o...
30
0
0
1,684
954
Castle Defense
[ "binary search", "data structures", "greedy", "two pointers" ]
null
null
Today you are going to lead a group of elven archers to defend the castle that is attacked by an army of angry orcs. Three sides of the castle are protected by impassable mountains and the remaining side is occupied by a long wall that is split into *n* sections. At this moment there are exactly *a**i* archers located ...
The first line of the input contains three integers *n*, *r* and *k* (1<=≤<=*n*<=≤<=500<=000, 0<=≤<=*r*<=≤<=*n*, 0<=≤<=*k*<=≤<=1018) — the number of sections of the wall, the maximum distance to other section archers can still shoot and the number of archers yet to be distributed along the wall. The second line contain...
Print one integer — the maximum possible value of defense plan reliability, i.e. the maximum possible value of minimum defense level if we distribute *k* additional archers optimally.
[ "5 0 6\n5 4 3 4 9\n", "4 2 0\n1 2 3 4\n", "5 1 1\n2 1 2 1 2\n" ]
[ "5\n", "6\n", "3\n" ]
none
[ { "input": "5 0 6\n5 4 3 4 9", "output": "5" }, { "input": "4 2 0\n1 2 3 4", "output": "6" }, { "input": "5 1 1\n2 1 2 1 2", "output": "3" }, { "input": "1 0 0\n0", "output": "0" }, { "input": "1 0 1000000000000000000\n1000000000", "output": "10000000010000000...
46
0
0
1,698
449
Jzzhu and Cities
[ "graphs", "greedy", "shortest paths" ]
null
null
Jzzhu is the president of country A. There are *n* cities numbered from 1 to *n* in his country. City 1 is the capital of A. Also there are *m* roads connecting the cities. One can go from city *u**i* to *v**i* (and vise versa) using the *i*-th road, the length of this road is *x**i*. Finally, there are *k* train route...
The first line contains three integers *n*,<=*m*,<=*k* (2<=≤<=*n*<=≤<=105; 1<=≤<=*m*<=≤<=3·105; 1<=≤<=*k*<=≤<=105). Each of the next *m* lines contains three integers *u**i*,<=*v**i*,<=*x**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*; *u**i*<=≠<=*v**i*; 1<=≤<=*x**i*<=≤<=109). Each of the next *k* lines contains two integers *s*...
Output a single integer representing the maximum number of the train routes which can be closed.
[ "5 5 3\n1 2 1\n2 3 2\n1 3 3\n3 4 4\n1 5 5\n3 5\n4 5\n5 5\n", "2 2 3\n1 2 2\n2 1 3\n2 1\n2 2\n2 3\n" ]
[ "2\n", "2\n" ]
none
[ { "input": "5 5 3\n1 2 1\n2 3 2\n1 3 3\n3 4 4\n1 5 5\n3 5\n4 5\n5 5", "output": "2" }, { "input": "2 2 3\n1 2 2\n2 1 3\n2 1\n2 2\n2 3", "output": "2" }, { "input": "5 4 3\n1 2 999999999\n2 3 1000000000\n3 4 529529529\n5 1 524524524\n5 524444444\n5 529999999\n2 1000000000", "output": ...
1,123
87,961,600
0
1,699
440
Forgotten Episode
[ "implementation" ]
null
null
Polycarpus adores TV series. Right now he is ready to finish watching a season of a popular sitcom "Graph Theory". In total, the season has *n* episodes, numbered with integers from 1 to *n*. Polycarpus watches episodes not one by one but in a random order. He has already watched all the episodes except for one. Which...
The first line of the input contains integer *n* (2<=≤<=*n*<=≤<=100000) — the number of episodes in a season. Assume that the episodes are numbered by integers from 1 to *n*. The second line contains *n*<=-<=1 integer *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=*n*) — the numbers of episodes that Polycarpus has watch...
Print the number of the episode that Polycarpus hasn't watched.
[ "10\n3 8 10 1 7 9 6 5 2\n" ]
[ "4\n" ]
none
[ { "input": "10\n3 8 10 1 7 9 6 5 2", "output": "4" }, { "input": "5\n4 3 2 1", "output": "5" }, { "input": "2\n1", "output": "2" }, { "input": "2\n2", "output": "1" }, { "input": "3\n1 2", "output": "3" }, { "input": "3\n1 3", "output": "2" }, ...
31
0
0
1,701
825
Multi-judge Solving
[ "greedy", "implementation" ]
null
null
Makes solves problems on Decoforces and lots of other different online judges. Each problem is denoted by its difficulty — a positive integer number. Difficulties are measured the same across all the judges (the problem with difficulty *d* on Decoforces is as hard as the problem with difficulty *d* on any other judge)....
The first line contains two integer numbers *n*, *k* (1<=≤<=*n*<=≤<=103, 1<=≤<=*k*<=≤<=109). The second line contains *n* space-separated integer numbers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109).
Print minimum number of problems Makes should solve on other judges in order to solve all chosen problems on Decoforces.
[ "3 3\n2 1 9\n", "4 20\n10 3 6 3\n" ]
[ "1\n", "0\n" ]
In the first example Makes at first solves problems 1 and 2. Then in order to solve the problem with difficulty 9, he should solve problem with difficulty no less than 5. The only available are difficulties 5 and 6 on some other judge. Solving any of these will give Makes opportunity to solve problem 3. In the second ...
[ { "input": "3 3\n2 1 9", "output": "1" }, { "input": "4 20\n10 3 6 3", "output": "0" }, { "input": "1 1000000000\n1", "output": "0" }, { "input": "1 1\n3", "output": "1" }, { "input": "50 100\n74 55 33 5 83 24 75 59 30 36 13 4 62 28 96 17 6 35 45 53 33 11 37 93 34...
62
4,608,000
0
1,702
171
Mysterious numbers - 1
[ "*special", "constructive algorithms" ]
null
null
The input contains two integers *a*1,<=*a*2 (0<=≤<=*a**i*<=≤<=109), separated by a single space. Output a single integer.
The input contains two integers *a*1,<=*a*2 (0<=≤<=*a**i*<=≤<=109), separated by a single space.
Output a single integer.
[ "3 14\n", "27 12\n", "100 200\n" ]
[ "44\n", "48\n", "102\n" ]
none
[ { "input": "3 14", "output": "44" }, { "input": "27 12", "output": "48" }, { "input": "100 200", "output": "102" }, { "input": "0 0", "output": "0" }, { "input": "31415 92653", "output": "67044" }, { "input": "1000000000 0", "output": "1000000000" ...
0
0
-1
1,706
899
Shovel Sale
[ "constructive algorithms", "math" ]
null
null
There are *n* shovels in Polycarp's shop. The *i*-th shovel costs *i* burles, that is, the first shovel costs 1 burle, the second shovel costs 2 burles, the third shovel costs 3 burles, and so on. Polycarps wants to sell shovels in pairs. Visitors are more likely to buy a pair of shovels if their total cost ends with ...
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=109) — the number of shovels in Polycarp's shop.
Print the number of pairs of shovels such that their total cost ends with maximum possible number of nines. Note that it is possible that the largest number of 9s at the end is 0, then you should count all such ways. It is guaranteed that for every *n*<=≤<=109 the answer doesn't exceed 2·109.
[ "7\n", "14\n", "50\n" ]
[ "3\n", "9\n", "1\n" ]
In the first example the maximum possible number of nines at the end is one. Polycarp cah choose the following pairs of shovels for that purpose: - 2 and 7; - 3 and 6; - 4 and 5. In the second example the maximum number of nines at the end of total cost of two shovels is one. The following pairs of shovels suit Po...
[ { "input": "7", "output": "3" }, { "input": "14", "output": "9" }, { "input": "50", "output": "1" }, { "input": "999999999", "output": "499999999" }, { "input": "15", "output": "11" }, { "input": "3", "output": "3" }, { "input": "6500", ...
93
0
3
1,715
920
List Of Integers
[ "binary search", "bitmasks", "brute force", "combinatorics", "math", "number theory" ]
null
null
Let's denote as *L*(*x*,<=*p*) an infinite sequence of integers *y* such that *gcd*(*p*,<=*y*)<==<=1 and *y*<=&gt;<=*x* (where *gcd* is the greatest common divisor of two integer numbers), sorted in ascending order. The elements of *L*(*x*,<=*p*) are 1-indexed; for example, 9, 13 and 15 are the first, the second and th...
The first line contains one integer *t* (1<=≤<=*t*<=≤<=30000) — the number of queries to process. Then *t* lines follow. *i*-th line contains three integers *x*, *p* and *k* for *i*-th query (1<=≤<=*x*,<=*p*,<=*k*<=≤<=106).
Print *t* integers, where *i*-th integer is the answer to *i*-th query.
[ "3\n7 22 1\n7 22 2\n7 22 3\n", "5\n42 42 42\n43 43 43\n44 44 44\n45 45 45\n46 46 46\n" ]
[ "9\n13\n15\n", "187\n87\n139\n128\n141\n" ]
none
[ { "input": "3\n7 22 1\n7 22 2\n7 22 3", "output": "9\n13\n15" }, { "input": "5\n42 42 42\n43 43 43\n44 44 44\n45 45 45\n46 46 46", "output": "187\n87\n139\n128\n141" } ]
62
6,041,600
-1
1,716
596
Wilbur and Swimming Pool
[ "geometry", "implementation" ]
null
null
After making bad dives into swimming pools, Wilbur wants to build a swimming pool in the shape of a rectangle in his backyard. He has set up coordinate axes, and he wants the sides of the rectangle to be parallel to them. Of course, the area of the rectangle must be positive. Wilbur had all four vertices of the planned...
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=4) — the number of vertices that were not erased by Wilbur's friend. Each of the following *n* lines contains two integers *x**i* and *y**i* (<=-<=1000<=≤<=*x**i*,<=*y**i*<=≤<=1000) —the coordinates of the *i*-th vertex that remains. Vertices are...
Print the area of the initial rectangle if it could be uniquely determined by the points remaining. Otherwise, print <=-<=1.
[ "2\n0 0\n1 1\n", "1\n1 1\n" ]
[ "1\n", "-1\n" ]
In the first sample, two opposite corners of the initial rectangle are given, and that gives enough information to say that the rectangle is actually a unit square. In the second sample there is only one vertex left and this is definitely not enough to uniquely define the area.
[ { "input": "2\n0 0\n1 1", "output": "1" }, { "input": "1\n1 1", "output": "-1" }, { "input": "1\n-188 17", "output": "-1" }, { "input": "1\n71 -740", "output": "-1" }, { "input": "4\n-56 -858\n-56 -174\n778 -858\n778 -174", "output": "570456" }, { "inp...
124
0
0
1,718
725
Contest Balloons
[ "data structures", "greedy" ]
null
null
One tradition of ACM-ICPC contests is that a team gets a balloon for every solved problem. We assume that the submission time doesn't matter and teams are sorted only by the number of balloons they have. It means that one's place is equal to the number of teams with more balloons, increased by 1. For example, if there ...
The first line of the standard input contains one integer *n* (2<=≤<=*n*<=≤<=300<=000) — the number of teams. The *i*-th of *n* following lines contains two integers *t**i* and *w**i* (0<=≤<=*t**i*<=≤<=*w**i*<=≤<=1018) — respectively the number of balloons and the weight of the *i*-th team. Limak is a member of the fi...
Print one integer denoting the best place Limak can get.
[ "8\n20 1000\n32 37\n40 1000\n45 50\n16 16\n16 16\n14 1000\n2 1000\n", "7\n4 4\n4 4\n4 4\n4 4\n4 4\n4 4\n5 5\n", "7\n14000000003 1000000000000000000\n81000000000 88000000000\n5000000000 7000000000\n15000000000 39000000000\n46000000000 51000000000\n0 1000000000\n0 0\n" ]
[ "3\n", "2\n", "2\n" ]
In the first sample, Limak has 20 balloons initially. There are three teams with more balloons (32, 40 and 45 balloons), so Limak has the fourth place initially. One optimal strategy is: 1. Limak gives 6 balloons away to a team with 32 balloons and weight 37, which is just enough to make them fly. Unfortunately, Limak...
[ { "input": "8\n20 1000\n32 37\n40 1000\n45 50\n16 16\n16 16\n14 1000\n2 1000", "output": "3" }, { "input": "7\n4 4\n4 4\n4 4\n4 4\n4 4\n4 4\n5 5", "output": "2" }, { "input": "7\n14000000003 1000000000000000000\n81000000000 88000000000\n5000000000 7000000000\n15000000000 39000000000\n460...
46
0
0
1,721
989
A Mist of Florescence
[ "constructive algorithms", "graphs" ]
null
null
"I've been here once," Mino exclaims with delight, "it's breathtakingly amazing." "What is it like?" "Look, Kanno, you've got your paintbrush, and I've got my words. Have a try, shall we?" There are four kinds of flowers in the wood, Amaranths, Begonias, Centaureas and Dianthuses. The wood can be represented by a ...
The first and only line of input contains four space-separated integers $a$, $b$, $c$ and $d$ ($1 \leq a, b, c, d \leq 100$) — the required number of connected components of Amaranths, Begonias, Centaureas and Dianthuses, respectively.
In the first line, output two space-separated integers $n$ and $m$ ($1 \leq n, m \leq 50$) — the number of rows and the number of columns in the grid respectively. Then output $n$ lines each consisting of $m$ consecutive English letters, representing one row of the grid. Each letter should be among 'A', 'B', 'C' and '...
[ "5 3 2 1\n", "50 50 1 1\n", "1 6 4 5\n" ]
[ "4 7\nDDDDDDD\nDABACAD\nDBABACD\nDDDDDDD", "4 50\nCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC\nABABABABABABABABABABABABABABABABABABABABABABABABAB\nBABABABABABABABABABABABABABABABABABABABABABABABABA\nDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD", "7 7\nDDDDDDD\nDDDBDBD\nDDCDCDD\nDBDADBD\nDDCDCDD\nDB...
In the first example, each cell of Amaranths, Begonias and Centaureas forms a connected component, while all the Dianthuses form one.
[ { "input": "5 3 2 1", "output": "5 13\nAABABBBBCDDAD\nABAABBBBCDADD\nAAAABBBBCDDAD\nAAAABCBBCDADD\nAAAABBBBCDDDD" }, { "input": "50 50 1 1", "output": "10 50\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\nABABABABABABABABABABABABABABABABABABABABABABABABAA\nBABABABABABABABABABABABABABABABAB...
140
2,560,000
0
1,724
787
The Monster
[ "brute force", "math", "number theory" ]
null
null
A monster is chasing after Rick and Morty on another planet. They're so frightened that sometimes they scream. More accurately, Rick screams at times *b*,<=*b*<=+<=*a*,<=*b*<=+<=2*a*,<=*b*<=+<=3*a*,<=... and Morty screams at times *d*,<=*d*<=+<=*c*,<=*d*<=+<=2*c*,<=*d*<=+<=3*c*,<=.... The Monster will catch them if a...
The first line of input contains two integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=100). The second line contains two integers *c* and *d* (1<=≤<=*c*,<=*d*<=≤<=100).
Print the first time Rick and Morty will scream at the same time, or <=-<=1 if they will never scream at the same time.
[ "20 2\n9 19\n", "2 1\n16 12\n" ]
[ "82\n", "-1\n" ]
In the first sample testcase, Rick's 5th scream and Morty's 8th time are at time 82. In the second sample testcase, all Rick's screams will be at odd times and Morty's will be at even times, so they will never scream at the same time.
[ { "input": "20 2\n9 19", "output": "82" }, { "input": "2 1\n16 12", "output": "-1" }, { "input": "39 52\n88 78", "output": "1222" }, { "input": "59 96\n34 48", "output": "1748" }, { "input": "87 37\n91 29", "output": "211" }, { "input": "11 81\n49 7", ...
155
21,401,600
3
1,725
47
Triangular numbers
[ "brute force", "math" ]
A. Triangular numbers
2
256
A triangular number is the number of dots in an equilateral triangle uniformly filled with dots. For example, three dots can be arranged in a triangle; thus three is a triangular number. The *n*-th triangular number is the number of dots in a triangle with *n* dots on a side. . You can learn more about these numbers fr...
The first line contains the single number *n* (1<=≤<=*n*<=≤<=500) — the given integer.
If the given integer is a triangular number output YES, otherwise output NO.
[ "1\n", "2\n", "3\n" ]
[ "YES\n", "NO\n", "YES\n" ]
none
[ { "input": "1", "output": "YES" }, { "input": "2", "output": "NO" }, { "input": "3", "output": "YES" }, { "input": "4", "output": "NO" }, { "input": "5", "output": "NO" }, { "input": "6", "output": "YES" }, { "input": "7", "output": "NO...
248
0
3.938
1,726
1,009
Intercity Travelling
[ "combinatorics", "math", "probabilities" ]
null
null
Leha is planning his journey from Moscow to Saratov. He hates trains, so he has decided to get from one city to another by car. The path from Moscow to Saratov can be represented as a straight line (well, it's not that straight in reality, but in this problem we will consider it to be straight), and the distance betwe...
The first line contains one number $n$ ($1 \le n \le 10^6$) — the distance from Moscow to Saratov. The second line contains $n$ integer numbers $a_1$, $a_2$, ..., $a_n$ ($1 \le a_1 \le a_2 \le \dots \le a_n \le 10^6$), where $a_i$ is the difficulty of $i$-th kilometer after Leha has rested.
Print one number — $p \cdot 2^{n - 1}$, taken modulo $998244353$.
[ "2\n1 2\n", "4\n1 3 3 7\n" ]
[ "5\n", "60\n" ]
none
[ { "input": "2\n1 2", "output": "5" }, { "input": "4\n1 3 3 7", "output": "60" }, { "input": "100\n3 3 3 4 7 8 8 8 9 9 10 12 12 13 14 14 15 15 16 17 17 20 21 21 22 22 23 25 29 31 36 37 37 38 39 40 41 41 41 42 43 44 45 46 46 47 47 49 49 49 51 52 52 53 54 55 59 59 59 60 62 63 63 64 66 69 70...
1,404
61,440,000
-1
1,727
276
Little Girl and Game
[ "games", "greedy" ]
null
null
The Little Girl loves problems on games very much. Here's one of them. Two players have got a string *s*, consisting of lowercase English letters. They play a game that is described by the following rules: - The players move in turns; In one move the player can remove an arbitrary letter from string *s*. - If the p...
The input contains a single line, containing string *s* (1<=≤<=|*s*|<=<=≤<=<=103). String *s* consists of lowercase English letters.
In a single line print word "First" if the first player wins (provided that both players play optimally well). Otherwise, print word "Second". Print the words without the quotes.
[ "aba\n", "abca\n" ]
[ "First\n", "Second\n" ]
none
[ { "input": "aba", "output": "First" }, { "input": "abca", "output": "Second" }, { "input": "aabb", "output": "First" }, { "input": "ctjxzuimsxnarlciuynqeoqmmbqtagszuo", "output": "Second" }, { "input": "gevqgtaorjixsxnbcoybr", "output": "First" }, { "i...
62
0
0
1,730
400
Inna and New Matrix of Candies
[ "brute force", "implementation", "schedules" ]
null
null
Inna likes sweets and a game called the "Candy Matrix". Today, she came up with the new game "Candy Matrix 2: Reload". The field for the new game is a rectangle table of size *n*<=×<=*m*. Each line of the table contains one cell with a dwarf figurine, one cell with a candy, the other cells of the line are empty. The g...
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*<=≤<=1000; 2<=≤<=*m*<=≤<=1000). Next *n* lines each contain *m* characters — the game field for the "Candy Martix 2: Reload". Character "*" represents an empty cell of the field, character "G" represents a dwarf and character "S" represents a can...
In a single line print a single integer — either the minimum number of moves needed to achieve the aim of the game, or -1, if the aim cannot be achieved on the given game field.
[ "3 4\n*G*S\nG**S\n*G*S\n", "1 3\nS*G\n" ]
[ "2\n", "-1\n" ]
none
[ { "input": "3 4\n*G*S\nG**S\n*G*S", "output": "2" }, { "input": "1 3\nS*G", "output": "-1" }, { "input": "10 10\nG********S\n*G*******S\n**G******S\n***G*****S\n****G****S\n*****G***S\n******G**S\n*******G*S\n********GS\nG********S", "output": "9" }, { "input": "5 10\nG***S**...
62
0
0
1,736
508
Anton and currency you all know
[ "greedy", "math", "strings" ]
null
null
Berland, 2016. The exchange rate of currency you all know against the burle has increased so much that to simplify the calculations, its fractional part was neglected and the exchange rate is now assumed to be an integer. Reliable sources have informed the financier Anton of some information about the exchange rate of...
The first line contains an odd positive integer *n* — the exchange rate of currency you all know for today. The length of number *n*'s representation is within range from 2 to 105, inclusive. The representation of *n* doesn't contain any leading zeroes.
If the information about tomorrow's exchange rate is inconsistent, that is, there is no integer that meets the condition, print <=-<=1. Otherwise, print the exchange rate of currency you all know against the burle for tomorrow. This should be the maximum possible number of those that are even and that are obtained fro...
[ "527\n", "4573\n", "1357997531\n" ]
[ "572\n", "3574\n", "-1\n" ]
none
[ { "input": "527", "output": "572" }, { "input": "4573", "output": "3574" }, { "input": "1357997531", "output": "-1" }, { "input": "444443", "output": "444434" }, { "input": "22227", "output": "72222" }, { "input": "24683", "output": "34682" }, ...
62
0
0
1,740
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
17,612,800
0
1,741
156
Clues
[ "combinatorics", "graphs" ]
null
null
As Sherlock Holmes was investigating another crime, he found a certain number of clues. Also, he has already found direct links between some of those clues. The direct links between the clues are mutual. That is, the direct link between clues *A* and *B* and the direct link between clues *B* and *A* is the same thing. ...
The first line contains three space-separated integers *n*,<=*m*,<=*k* (1<=≤<=*n*<=≤<=105,<=0<=≤<=*m*<=≤<=105, 1<=≤<=*k*<=≤<=109) — the number of clues, the number of direct clue links that Holmes has already found and the divisor for the modulo operation. Each of next *m* lines contains two integers *a* and *b* (1<=≤...
Print the single number — the answer to the problem modulo *k*.
[ "2 0 1000000000\n", "3 0 100\n", "4 1 1000000000\n1 4\n" ]
[ "1\n", "3\n", "8\n" ]
The first sample only has two clues and Sherlock hasn't found any direct link between them yet. The only way to solve the crime is to find the link. The second sample has three clues and Sherlock hasn't found any direct links between them. He has to find two of three possible direct links between clues to solve the cr...
[ { "input": "2 0 1000000000", "output": "1" }, { "input": "3 0 100", "output": "3" }, { "input": "4 1 1000000000\n1 4", "output": "8" }, { "input": "6 4 100000\n1 4\n4 6\n6 1\n2 5", "output": "36" }, { "input": "10 0 123456789", "output": "100000000" }, { ...
62
0
0
1,742
670
Holidays
[ "brute force", "constructive algorithms", "greedy", "math" ]
null
null
On the planet Mars a year lasts exactly *n* days (there are no leap years on Mars). But Martians have the same weeks as earthlings — 5 work days and then 2 days off. Your task is to determine the minimum possible and the maximum possible number of days off per year on Mars.
The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=1<=000<=000) — the number of days in a year on Mars.
Print two integers — the minimum possible and the maximum possible number of days off per year on Mars.
[ "14\n", "2\n" ]
[ "4 4\n", "0 2\n" ]
In the first sample there are 14 days in a year on Mars, and therefore independently of the day a year starts with there will be exactly 4 days off . In the second sample there are only 2 days in a year on Mars, and they can both be either work days or days off.
[ { "input": "14", "output": "4 4" }, { "input": "2", "output": "0 2" }, { "input": "1", "output": "0 1" }, { "input": "3", "output": "0 2" }, { "input": "4", "output": "0 2" }, { "input": "5", "output": "0 2" }, { "input": "6", "output":...
140
0
0
1,747
997
Convert to Ones
[ "brute force", "greedy", "implementation", "math" ]
null
null
You've got a string $a_1, a_2, \dots, a_n$, consisting of zeros and ones. Let's call a sequence of consecutive elements $a_i, a_{i<=+<=1}, \ldots,<=a_j$ ($1\leq<=i\leq<=j\leq<=n$) a substring of string $a$. You can apply the following operations any number of times: - Choose some substring of string $a$ (for examp...
The first line of input contains integers $n$, $x$ and $y$ ($1<=\leq<=n<=\leq<=300\,000, 0 \leq x, y \leq 10^9$) — length of the string, cost of the first operation (substring reverse) and cost of the second operation (inverting all elements of substring). The second line contains the string $a$ of length $n$, consist...
Print a single integer — the minimum total cost of operations you need to spend to get a string consisting only of ones. Print $0$, if you do not need to perform any operations.
[ "5 1 10\n01000\n", "5 10 1\n01000\n", "7 2 3\n1111111\n" ]
[ "11\n", "2\n", "0\n" ]
In the first sample, at first you need to reverse substring $[1 \dots 2]$, and then you need to invert substring $[2 \dots 5]$. Then the string was changed as follows: «01000» $\to$ «10000» $\to$ «11111». The total cost of operations is $1 + 10 = 11$. In the second sample, at first you need to invert substring $[1...
[ { "input": "5 1 10\n01000", "output": "11" }, { "input": "5 10 1\n01000", "output": "2" }, { "input": "7 2 3\n1111111", "output": "0" }, { "input": "1 60754033 959739508\n0", "output": "959739508" }, { "input": "1 431963980 493041212\n1", "output": "0" }, ...
389
77,619,200
3
1,750
982
Row
[ "brute force", "constructive algorithms" ]
null
null
You're given a row with $n$ chairs. We call a seating of people "maximal" if the two following conditions hold: 1. There are no neighbors adjacent to anyone seated. 1. It's impossible to seat one more person without violating the first rule. The seating is given as a string consisting of zeros and ones ($0$ means t...
The first line contains a single integer $n$ ($1 \leq n \leq 1000$) — the number of chairs. The next line contains a string of $n$ characters, each of them is either zero or one, describing the seating.
Output "Yes" (without quotation marks) if the seating is "maximal". Otherwise print "No". You are allowed to print letters in whatever case you'd like (uppercase or lowercase).
[ "3\n101\n", "4\n1011\n", "5\n10001\n" ]
[ "Yes\n", "No\n", "No\n" ]
In sample case one the given seating is maximal. In sample case two the person at chair three has a neighbour to the right. In sample case three it is possible to seat yet another person into chair three.
[ { "input": "3\n101", "output": "Yes" }, { "input": "4\n1011", "output": "No" }, { "input": "5\n10001", "output": "No" }, { "input": "1\n0", "output": "No" }, { "input": "1\n1", "output": "Yes" }, { "input": "100\n010100101010100101001001010100101010010...
77
0
0
1,753
988
Equal Sums
[ "implementation", "sortings" ]
null
null
You are given $k$ sequences of integers. The length of the $i$-th sequence equals to $n_i$. You have to choose exactly two sequences $i$ and $j$ ($i \ne j$) such that you can remove exactly one element in each of them in such a way that the sum of the changed sequence $i$ (its length will be equal to $n_i - 1$) equals...
The first line contains an integer $k$ ($2 \le k \le 2 \cdot 10^5$) — the number of sequences. Then $k$ pairs of lines follow, each pair containing a sequence. The first line in the $i$-th pair contains one integer $n_i$ ($1 \le n_i &lt; 2 \cdot 10^5$) — the length of the $i$-th sequence. The second line of the $i$-t...
If it is impossible to choose two sequences such that they satisfy given conditions, print "NO" (without quotes). Otherwise in the first line print "YES" (without quotes), in the second line — two integers $i$, $x$ ($1 \le i \le k, 1 \le x \le n_i$), in the third line — two integers $j$, $y$ ($1 \le j \le k, 1 \le y \l...
[ "2\n5\n2 3 1 3 2\n6\n1 1 2 2 2 1\n", "3\n1\n5\n5\n1 1 1 1 1\n2\n2 3\n", "4\n6\n2 2 2 2 2 2\n5\n2 2 2 2 2\n3\n2 2 2\n5\n2 2 2 2 2\n" ]
[ "YES\n2 6\n1 2\n", "NO\n", "YES\n2 2\n4 1\n" ]
In the first example there are two sequences $[2, 3, 1, 3, 2]$ and $[1, 1, 2, 2, 2, 1]$. You can remove the second element from the first sequence to get $[2, 1, 3, 2]$ and you can remove the sixth element from the second sequence to get $[1, 1, 2, 2, 2]$. The sums of the both resulting sequences equal to $8$, i.e. the...
[ { "input": "2\n5\n2 3 1 3 2\n6\n1 1 2 2 2 1", "output": "YES\n2 1\n1 4" }, { "input": "3\n1\n5\n5\n1 1 1 1 1\n2\n2 3", "output": "NO" }, { "input": "4\n6\n2 2 2 2 2 2\n5\n2 2 2 2 2\n3\n2 2 2\n5\n2 2 2 2 2", "output": "YES\n4 1\n2 5" }, { "input": "2\n2\n0 -10000\n2\n10000 0",...
2,000
29,798,400
0
1,756
129
Cookies
[ "implementation" ]
null
null
Olga came to visit the twins Anna and Maria and saw that they have many cookies. The cookies are distributed into bags. As there are many cookies, Olga decided that it's no big deal if she steals a bag. However, she doesn't want the sisters to quarrel because of nothing when they divide the cookies. That's why Olga wan...
The first line contains the only integer *n* (1<=≤<=*n*<=≤<=100) — the number of cookie bags Anna and Maria have. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=100) — the number of cookies in the *i*-th bag.
Print in the only line the only number — the sought number of ways. If there are no such ways print 0.
[ "1\n1\n", "10\n1 2 2 3 4 4 4 2 2 2\n", "11\n2 2 2 2 2 2 2 2 2 2 99\n" ]
[ "1\n", "8\n", "1\n" ]
In the first sample Olga should take the only bag so that the twins ended up with the even number of cookies. In the second sample Olga can take any of five bags with two cookies or any of three bags with four cookies — 5 + 3 = 8 ways in total. In the third sample, no matter which bag with two cookies Olga chooses, t...
[ { "input": "1\n1", "output": "1" }, { "input": "10\n1 2 2 3 4 4 4 2 2 2", "output": "8" }, { "input": "11\n2 2 2 2 2 2 2 2 2 2 99", "output": "1" }, { "input": "2\n1 1", "output": "0" }, { "input": "2\n2 2", "output": "2" }, { "input": "2\n1 2", "o...
248
0
3
1,757
811
Vladik and Courtesy
[ "brute force", "implementation" ]
null
null
At regular competition Vladik and Valera won *a* and *b* candies respectively. Vladik offered 1 his candy to Valera. After that Valera gave Vladik 2 his candies, so that no one thought that he was less generous. Vladik for same reason gave 3 candies to Valera in next turn. More formally, the guys take turns giving eac...
Single line of input data contains two space-separated integers *a*, *b* (1<=≤<=*a*,<=*b*<=≤<=109) — number of Vladik and Valera candies respectively.
Pring a single line "Vladik’’ in case, if Vladik first who can’t give right amount of candy, or "Valera’’ otherwise.
[ "1 1\n", "7 6\n" ]
[ "Valera\n", "Vladik\n" ]
Illustration for first test case: <img class="tex-graphics" src="https://espresso.codeforces.com/ad9b7d0e481208de8e3a585aa1d96b9e1dda4fd7.png" style="max-width: 100.0%;max-height: 100.0%;"/> Illustration for second test case: <img class="tex-graphics" src="https://espresso.codeforces.com/9f4836d2ccdffaee5a63898e5d4e...
[ { "input": "1 1", "output": "Valera" }, { "input": "7 6", "output": "Vladik" }, { "input": "25 38", "output": "Vladik" }, { "input": "8311 2468", "output": "Valera" }, { "input": "250708 857756", "output": "Vladik" }, { "input": "957985574 24997558", ...
77
5,632,000
3
1,761
743
Chloe and pleasant prizes
[ "dfs and similar", "dp", "graphs", "trees" ]
null
null
Generous sponsors of the olympiad in which Chloe and Vladik took part allowed all the participants to choose a prize for them on their own. Christmas is coming, so sponsors decided to decorate the Christmas tree with their prizes. They took *n* prizes for the contestants and wrote on each of them a unique id (integer...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=2·105) — the number of gifts. The next line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=109<=≤<=*a**i*<=≤<=109) — the pleasantness of the gifts. The next (*n*<=-<=1) lines contain two numbers each. The *i*-th of these lines contains integers *u**i...
If it is possible for Chloe and Vladik to choose prizes without fighting, print single integer — the maximum possible sum of pleasantness they can get together. Otherwise print Impossible.
[ "8\n0 5 -1 4 3 2 6 5\n1 2\n2 4\n2 5\n1 3\n3 6\n6 7\n6 8\n", "4\n1 -5 1 1\n1 2\n1 4\n2 3\n", "1\n-1\n" ]
[ "25", "2", "Impossible" ]
none
[ { "input": "8\n0 5 -1 4 3 2 6 5\n1 2\n2 4\n2 5\n1 3\n3 6\n6 7\n6 8", "output": "25" }, { "input": "4\n1 -5 1 1\n1 2\n1 4\n2 3", "output": "2" }, { "input": "1\n-1", "output": "Impossible" }, { "input": "10\n3 2 -4 2 0 3 3 3 3 4\n10 8\n4 2\n4 9\n3 5\n5 2\n7 4\n2 6\n1 8\n10 9",...
1,855
228,966,400
3
1,765
813
The Contest
[ "implementation" ]
null
null
Pasha is participating in a contest on one well-known website. This time he wants to win the contest and will do anything to get to the first place! This contest consists of *n* problems, and Pasha solves *i*th problem in *a**i* time units (his solutions are always correct). At any moment of time he can be thinking ab...
The first line contains one integer *n* (1<=≤<=*n*<=≤<=1000) — the number of problems. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=105) — the time Pasha needs to solve *i*th problem. The third line contains one integer *m* (0<=≤<=*m*<=≤<=1000) — the number of periods of time when the website is work...
If Pasha can solve and submit all the problems before the end of the contest, print the minimal moment of time by which he can have all the solutions submitted. Otherwise print "-1" (without brackets).
[ "2\n3 4\n2\n1 4\n7 9\n", "1\n5\n1\n1 4\n", "1\n5\n1\n1 5\n" ]
[ "7\n", "-1\n", "5\n" ]
In the first example Pasha can act like this: he solves the second problem in 4 units of time and sends it immediately. Then he spends 3 time units to solve the first problem and sends it 7 time units after the contest starts, because at this moment the website starts working again. In the second example Pasha invents...
[ { "input": "2\n3 4\n2\n1 4\n7 9", "output": "7" }, { "input": "1\n5\n1\n1 4", "output": "-1" }, { "input": "1\n5\n1\n1 5", "output": "5" }, { "input": "5\n100000 100000 100000 100000 100000\n0", "output": "-1" }, { "input": "5\n886 524 128 4068 298\n3\n416 3755\n4...
31
0
3
1,768
380
Sereja and Cinema
[ "combinatorics", "math" ]
null
null
The cinema theater hall in Sereja's city is *n* seats lined up in front of one large screen. There are slots for personal possessions to the left and to the right of each seat. Any two adjacent seats have exactly one shared slot. The figure below shows the arrangement of seats and slots for *n*<==<=4. Today it's the p...
The first line contains integer *n* (1<=≤<=*n*<=≤<=105). The second line contains *n* integers, the *i*-th integer shows either the index of the person (index in the entering queue) with the ticket for the *i*-th seat or a 0, if his index is not known. It is guaranteed that all positive numbers in the second line are d...
In a single line print the remainder after dividing the answer by number 1000000007 (109<=+<=7).
[ "11\n0 0 0 0 0 0 0 0 0 0 0\n", "6\n0 3 1 0 0 0\n" ]
[ "1024\n", "3\n" ]
none
[]
1,000
16,486,400
0
1,772
950
Intercepted Message
[ "greedy", "implementation" ]
null
null
Hacker Zhorik wants to decipher two secret messages he intercepted yesterday. Yeah message is a sequence of encrypted blocks, each of them consists of several bytes of information. Zhorik knows that each of the messages is an archive containing one or more files. Zhorik knows how each of these archives was transferred...
The first line contains two integers *n*, *m* (1<=≤<=*n*,<=*m*<=≤<=105) — the number of blocks in the first and in the second messages. The second line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n* (1<=≤<=*x**i*<=≤<=106) — the length of the blocks that form the first message. The third line contains *m* integers *...
Print the maximum number of files the intercepted array could consist of.
[ "7 6\n2 5 3 1 11 4 4\n7 8 2 4 1 8\n", "3 3\n1 10 100\n1 100 10\n", "1 4\n4\n1 1 1 1\n" ]
[ "3\n", "2\n", "1\n" ]
In the first example the maximum number of files in the archive is 3. For example, it is possible that in the archive are three files of sizes 2 + 5 = 7, 15 = 3 + 1 + 11 = 8 + 2 + 4 + 1 and 4 + 4 = 8. In the second example it is possible that the archive contains two files of sizes 1 and 110 = 10 + 100 = 100 + 10. Not...
[ { "input": "7 6\n2 5 3 1 11 4 4\n7 8 2 4 1 8", "output": "3" }, { "input": "3 3\n1 10 100\n1 100 10", "output": "2" }, { "input": "1 4\n4\n1 1 1 1", "output": "1" }, { "input": "1 1\n1000000\n1000000", "output": "1" }, { "input": "3 5\n2 2 9\n2 1 4 2 4", "outp...
202
30,720,000
3
1,775
984
Game
[ "sortings" ]
null
null
Two players play a game. Initially there are $n$ integers $a_1, a_2, \ldots, a_n$ written on the board. Each turn a player selects one number and erases it from the board. This continues until there is only one number left on the board, i. e. $n - 1$ turns are made. The first player makes the first move, then players ...
The first line contains one integer $n$ ($1 \le n \le 1000$) — the number of numbers on the board. The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \le a_i \le 10^6$).
Print one number that will be left on the board.
[ "3\n2 1 3\n", "3\n2 2 2\n" ]
[ "2", "2" ]
In the first sample, the first player erases $3$ and the second erases $1$. $2$ is left on the board. In the second sample, $2$ is left on the board regardless of the actions of the players.
[ { "input": "3\n2 1 3", "output": "2" }, { "input": "3\n2 2 2", "output": "2" }, { "input": "9\n44 53 51 80 5 27 74 79 94", "output": "53" }, { "input": "10\n38 82 23 37 96 4 81 60 67 86", "output": "60" }, { "input": "10\n58 26 77 15 53 81 68 48 22 65", "outpu...
46
0
0
1,777
459
Pashmak and Garden
[ "implementation" ]
null
null
Pashmak has fallen in love with an attractive girl called Parmida since one year ago... Today, Pashmak set up a meeting with his partner in a romantic garden. Unfortunately, Pashmak has forgotten where the garden is. But he remembers that the garden looks like a square with sides parallel to the coordinate axes. He al...
The first line contains four space-separated *x*1,<=*y*1,<=*x*2,<=*y*2 (<=-<=100<=≤<=*x*1,<=*y*1,<=*x*2,<=*y*2<=≤<=100) integers, where *x*1 and *y*1 are coordinates of the first tree and *x*2 and *y*2 are coordinates of the second tree. It's guaranteed that the given points are distinct.
If there is no solution to the problem, print -1. Otherwise print four space-separated integers *x*3,<=*y*3,<=*x*4,<=*y*4 that correspond to the coordinates of the two other trees. If there are several solutions you can output any of them. Note that *x*3,<=*y*3,<=*x*4,<=*y*4 must be in the range (<=-<=1000<=≤<=*x*3,<...
[ "0 0 0 1\n", "0 0 1 1\n", "0 0 1 2\n" ]
[ "1 0 1 1\n", "0 1 1 0\n", "-1\n" ]
none
[ { "input": "0 0 0 1", "output": "1 0 1 1" }, { "input": "0 0 1 1", "output": "0 1 1 0" }, { "input": "0 0 1 2", "output": "-1" }, { "input": "-100 -100 100 100", "output": "-100 100 100 -100" }, { "input": "-100 -100 99 100", "output": "-1" }, { "input...
46
0
0
1,785
932
Palindromic Supersequence
[ "constructive algorithms" ]
null
null
You are given a string *A*. Find a string *B*, where *B* is a palindrome and *A* is a subsequence of *B*. A subsequence of a string is a string that can be derived from it by deleting some (not necessarily consecutive) characters without changing the order of the remaining characters. For example, "cotst" is a subsequ...
First line contains a string *A* (1<=≤<=|*A*|<=≤<=103) consisting of lowercase Latin letters, where |*A*| is a length of *A*.
Output single line containing *B* consisting of only lowercase Latin letters. You do not need to find the shortest answer, the only restriction is that the length of string *B* should not exceed 104. If there are many possible *B*, print any of them.
[ "aba\n", "ab\n" ]
[ "aba", "aabaa" ]
In the first example, "aba" is a subsequence of "aba" which is a palindrome. In the second example, "ab" is a subsequence of "aabaa" which is a palindrome.
[ { "input": "aba", "output": "abaaba" }, { "input": "ab", "output": "abba" }, { "input": "krnyoixirslfszfqivgkaflgkctvbvksipwomqxlyqxhlbceuhbjbfnhofcgpgwdseffycthmlpcqejgskwjkbkbbmifnurnwyhevsoqzmtvzgfiqajfrgyuzxnrtxectcnlyoisbglpdbjbslxlpoymrcxmdtqhcnlvtqdwftuzgbdxsyscwbrguostbelnvtaqdmk...
46
5,632,000
-1
1,791
165
Burning Midnight Oil
[ "binary search", "implementation" ]
null
null
One day a highly important task was commissioned to Vasya — writing a program in a night. The program consists of *n* lines of code. Vasya is already exhausted, so he works like that: first he writes *v* lines of code, drinks a cup of tea, then he writes as much as lines, drinks another cup of tea, then he writes lin...
The input consists of two integers *n* and *k*, separated by spaces — the size of the program in lines and the productivity reduction coefficient, 1<=≤<=*n*<=≤<=109, 2<=≤<=*k*<=≤<=10.
Print the only integer — the minimum value of *v* that lets Vasya write the program in one night.
[ "7 2\n", "59 9\n" ]
[ "4\n", "54\n" ]
In the first sample the answer is *v* = 4. Vasya writes the code in the following portions: first 4 lines, then 2, then 1, and then Vasya falls asleep. Thus, he manages to write 4 + 2 + 1 = 7 lines in a night and complete the task. In the second sample the answer is *v* = 54. Vasya writes the code in the following por...
[ { "input": "7 2", "output": "4" }, { "input": "59 9", "output": "54" }, { "input": "1 9", "output": "1" }, { "input": "11 2", "output": "7" }, { "input": "747 2", "output": "376" }, { "input": "6578 2", "output": "3293" }, { "input": "37212...
92
4,505,600
3
1,794
542
Idempotent functions
[ "constructive algorithms", "graphs", "math" ]
null
null
Some time ago Leonid have known about idempotent functions. Idempotent function defined on a set {1,<=2,<=...,<=*n*} is such function , that for any the formula *g*(*g*(*x*))<==<=*g*(*x*) holds. Let's denote as *f*(*k*)(*x*) the function *f* applied *k* times to the value *x*. More formally, *f*(1)(*x*)<==<=*f*(*x*),...
In the first line of the input there is a single integer *n* (1<=≤<=*n*<=≤<=200) — the size of function *f* domain. In the second line follow *f*(1),<=*f*(2),<=...,<=*f*(*n*) (1<=≤<=*f*(*i*)<=≤<=*n* for each 1<=≤<=*i*<=≤<=*n*), the values of a function.
Output minimum *k* such that function *f*(*k*)(*x*) is idempotent.
[ "4\n1 2 2 4\n", "3\n2 3 3\n", "3\n2 3 1\n" ]
[ "1\n", "2\n", "3\n" ]
In the first sample test function *f*(*x*) = *f*<sup class="upper-index">(1)</sup>(*x*) is already idempotent since *f*(*f*(1)) = *f*(1) = 1, *f*(*f*(2)) = *f*(2) = 2, *f*(*f*(3)) = *f*(3) = 2, *f*(*f*(4)) = *f*(4) = 4. In the second sample test: - function *f*(*x*) = *f*<sup class="upper-index">(1)</sup>(*x*) isn'...
[ { "input": "4\n1 2 2 4", "output": "1" }, { "input": "3\n2 3 3", "output": "2" }, { "input": "3\n2 3 1", "output": "3" }, { "input": "1\n1", "output": "1" }, { "input": "16\n1 4 13 9 11 16 14 6 5 12 7 8 15 2 3 10", "output": "105" }, { "input": "20\n1 ...
1,000
0
0
1,796
0
none
[ "none" ]
null
null
You are an experienced Codeforces user. Today you found out that during your activity on Codeforces you have made *y* submissions, out of which *x* have been successful. Thus, your current success rate on Codeforces is equal to *x*<=/<=*y*. Your favorite rational number in the [0;1] range is *p*<=/<=*q*. Now you wonde...
The first line contains a single integer *t* (1<=≤<=*t*<=≤<=1000) — the number of test cases. Each of the next *t* lines contains four integers *x*, *y*, *p* and *q* (0<=≤<=*x*<=≤<=*y*<=≤<=109; 0<=≤<=*p*<=≤<=*q*<=≤<=109; *y*<=&gt;<=0; *q*<=&gt;<=0). It is guaranteed that *p*<=/<=*q* is an irreducible fraction. Hacks...
For each test case, output a single integer equal to the smallest number of submissions you have to make if you want your success rate to be equal to your favorite rational number, or -1 if this is impossible to achieve.
[ "4\n3 10 1 2\n7 14 3 8\n20 70 2 7\n5 6 1 1\n" ]
[ "4\n10\n0\n-1\n" ]
In the first example, you have to make 4 successful submissions. Your success rate will be equal to 7 / 14, or 1 / 2. In the second example, you have to make 2 successful and 8 unsuccessful submissions. Your success rate will be equal to 9 / 24, or 3 / 8. In the third example, there is no need to make any new submiss...
[ { "input": "4\n3 10 1 2\n7 14 3 8\n20 70 2 7\n5 6 1 1", "output": "4\n10\n0\n-1" }, { "input": "8\n0 1 0 1\n0 2 1 2\n0 3 1 1\n1 2 0 1\n1 2 1 1\n2 2 0 1\n3 3 1 2\n4 4 1 1", "output": "0\n2\n-1\n-1\n-1\n-1\n3\n0" }, { "input": "5\n1 1000000000 1 2\n1 1000000000 1 2\n1 1000000000 1 2\n1 100...
280
6,246,400
3
1,799
938
Word Correction
[ "implementation" ]
null
null
Victor tries to write his own text editor, with word correction included. However, the rules of word correction are really strange. Victor thinks that if a word contains two consecutive vowels, then it's kinda weird and it needs to be replaced. So the word corrector works in such a way: as long as there are two consec...
The first line contains one integer *n* (1<=≤<=*n*<=≤<=100) — the number of letters in word *s* before the correction. The second line contains a string *s* consisting of exactly *n* lowercase Latin letters — the word before the correction.
Output the word *s* after the correction.
[ "5\nweird\n", "4\nword\n", "5\naaeaa\n" ]
[ "werd\n", "word\n", "a\n" ]
Explanations of the examples: 1. There is only one replace: weird <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/70a0795f45d32287dba0eb83fc4a3f470c6e5537.png" style="max-width: 100.0%;max-height: 100.0%;"/> werd;1. No replace needed since there are no two consecutive vowels;1. aaeaa <i...
[ { "input": "5\nweird", "output": "werd" }, { "input": "4\nword", "output": "word" }, { "input": "5\naaeaa", "output": "a" }, { "input": "100\naaaaabbbbboyoyoyoyoyacadabbbbbiuiufgiuiuaahjabbbklboyoyoyoyoyaaaaabbbbbiuiuiuiuiuaaaaabbbbbeyiyuyzyw", "output": "abbbbbocadabbbbb...
62
307,200
3
1,800
779
Dishonest Sellers
[ "constructive algorithms", "greedy", "sortings" ]
null
null
Igor found out discounts in a shop and decided to buy *n* items. Discounts at the store will last for a week and Igor knows about each item that its price now is *a**i*, and after a week of discounts its price will be *b**i*. Not all of sellers are honest, so now some products could be more expensive than after a week...
In the first line there are two positive integer numbers *n* and *k* (1<=≤<=*n*<=≤<=2·105, 0<=≤<=*k*<=≤<=*n*) — total number of items to buy and minimal number of items Igor wants to by right now. The second line contains sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=104) — prices of items during d...
Print the minimal amount of money Igor will spend to buy all *n* items. Remember, he should buy at least *k* items right now.
[ "3 1\n5 4 6\n3 1 5\n", "5 3\n3 4 7 10 3\n4 5 5 12 5\n" ]
[ "10\n", "25\n" ]
In the first example Igor should buy item 3 paying 6. But items 1 and 2 he should buy after a week. He will pay 3 and 1 for them. So in total he will pay 6 + 3 + 1 = 10. In the second example Igor should buy right now items 1, 2, 4 and 5, paying for them 3, 4, 10 and 3, respectively. Item 3 he should buy after a week ...
[ { "input": "3 1\n5 4 6\n3 1 5", "output": "10" }, { "input": "5 3\n3 4 7 10 3\n4 5 5 12 5", "output": "25" }, { "input": "1 0\n9\n8", "output": "8" }, { "input": "2 0\n4 10\n1 2", "output": "3" }, { "input": "4 2\n19 5 17 13\n3 18 8 10", "output": "29" }, ...
124
307,200
-1
1,803
962
Make a Square
[ "brute force", "implementation", "math" ]
null
null
You are given a positive integer $n$, written without leading zeroes (for example, the number 04 is incorrect). In one operation you can delete any digit of the given integer so that the result remains a positive integer without leading zeros. Determine the minimum number of operations that you need to consistently ...
The first line contains a single integer $n$ ($1 \le n \le 2 \cdot 10^{9}$). The number is given without leading zeroes.
If it is impossible to make the square of some positive integer from $n$, print -1. In the other case, print the minimal number of operations required to do it.
[ "8314\n", "625\n", "333\n" ]
[ "2\n", "0\n", "-1\n" ]
In the first example we should delete from $8314$ the digits $3$ and $4$. After that $8314$ become equals to $81$, which is the square of the integer $9$. In the second example the given $625$ is the square of the integer $25$, so you should not delete anything. In the third example it is impossible to make the squa...
[ { "input": "8314", "output": "2" }, { "input": "625", "output": "0" }, { "input": "333", "output": "-1" }, { "input": "1881388645", "output": "6" }, { "input": "1059472069", "output": "3" }, { "input": "1354124829", "output": "4" }, { "inpu...
109
2,457,600
0
1,804
285
Building Permutation
[ "greedy", "implementation", "sortings" ]
null
null
Permutation *p* is an ordered set of integers *p*1,<=<=*p*2,<=<=...,<=<=*p**n*, consisting of *n* distinct positive integers, each of them doesn't exceed *n*. We'll denote the *i*-th element of permutation *p* as *p**i*. We'll call number *n* the size or the length of permutation *p*1,<=<=*p*2,<=<=...,<=<=*p**n*. You ...
The first line contains integer *n* (1<=≤<=*n*<=≤<=3·105) — the size of the sought permutation. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=109<=≤<=*a**i*<=≤<=109).
Print a single number — the minimum number of moves. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
[ "2\n3 0\n", "3\n-1 -1 2\n" ]
[ "2\n", "6\n" ]
In the first sample you should decrease the first number by one and then increase the second number by one. The resulting permutation is (2, 1). In the second sample you need 6 moves to build permutation (1, 3, 2).
[ { "input": "2\n3 0", "output": "2" }, { "input": "3\n-1 -1 2", "output": "6" }, { "input": "5\n-3 5 -3 3 3", "output": "10" }, { "input": "10\n9 6 -2 4 1 1 1 9 6 2", "output": "18" }, { "input": "9\n2 0 0 6 5 4 1 9 3", "output": "15" }, { "input": "100...
467
31,948,800
3
1,807
975
Valhalla Siege
[ "binary search" ]
null
null
Ivar the Boneless is a great leader. He is trying to capture Kattegat from Lagertha. The war has begun and wave after wave Ivar's warriors are falling in battle. Ivar has $n$ warriors, he places them on a straight line in front of the main gate, in a way that the $i$-th warrior stands right after $(i-1)$-th warrior. T...
The first line contains two integers $n$ and $q$ ($1 \le n, q \leq 200\,000$) — the number of warriors and the number of minutes in the battle. The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \leq a_i \leq 10^9$) that represent the warriors' strengths. The third line contains $q$ integers $k_1, k_2,...
Output $q$ lines, the $i$-th of them is the number of standing warriors after the $i$-th minute.
[ "5 5\n1 2 1 2 1\n3 10 1 1 1\n", "4 4\n1 2 3 4\n9 1 10 6\n" ]
[ "3\n5\n4\n4\n3\n", "1\n4\n4\n1\n" ]
In the first example: - after the 1-st minute, the 1-st and 2-nd warriors die. - after the 2-nd minute all warriors die (and all arrows left over are wasted), then they will be revived thus answer is 5 — all warriors are alive. - after the 3-rd minute, the 1-st warrior dies. - after the 4-th minute, the 2-nd warr...
[ { "input": "5 5\n1 2 1 2 1\n3 10 1 1 1", "output": "3\n5\n4\n4\n3" }, { "input": "4 4\n1 2 3 4\n9 1 10 6", "output": "1\n4\n4\n1" }, { "input": "10 3\n1 1 1 1 1 1 1 1 1 1\n10 10 5", "output": "10\n10\n5" }, { "input": "1 1\n56563128\n897699770", "output": "1" }, { ...
2,000
3,993,600
0
1,810
980
Marlin
[ "constructive algorithms" ]
null
null
The city of Fishtopia can be imagined as a grid of $4$ rows and an odd number of columns. It has two main villages; the first is located at the top-left cell $(1,1)$, people who stay there love fishing at the Tuna pond at the bottom-right cell $(4, n)$. The second village is located at $(4, 1)$ and its people love the ...
The first line of input contain two integers, $n$ and $k$ ($3 \leq n \leq 99$, $0 \leq k \leq 2\times(n-2)$), $n$ is odd, the width of the city, and the number of hotels to be placed, respectively.
Print "YES", if it is possible to place all the hotels in a way that satisfies the problem statement, otherwise print "NO". If it is possible, print an extra $4$ lines that describe the city, each line should have $n$ characters, each of which is "#" if that cell has a hotel on it, or "." if not.
[ "7 2\n", "5 3\n" ]
[ "YES\n.......\n.#.....\n.#.....\n.......\n", "YES\n.....\n.###.\n.....\n.....\n" ]
none
[ { "input": "7 2", "output": "YES\n.......\n.#.....\n.#.....\n......." }, { "input": "5 3", "output": "YES\n.....\n.###.\n.....\n....." }, { "input": "3 2", "output": "YES\n...\n.#.\n.#.\n..." }, { "input": "3 0", "output": "YES\n...\n...\n...\n..." }, { "input": "...
46
0
0
1,819
796
Find The Bone
[ "implementation" ]
null
null
Zane the wizard is going to perform a magic show shuffling the cups. There are *n* cups, numbered from 1 to *n*, placed along the *x*-axis on a table that has *m* holes on it. More precisely, cup *i* is on the table at the position *x*<==<=*i*. The problematic bone is initially at the position *x*<==<=1. Zane will co...
The first line contains three integers *n*, *m*, and *k* (2<=≤<=*n*<=≤<=106, 1<=≤<=*m*<=≤<=*n*, 1<=≤<=*k*<=≤<=3·105) — the number of cups, the number of holes on the table, and the number of swapping operations, respectively. The second line contains *m* distinct integers *h*1,<=*h*2,<=...,<=*h**m* (1<=≤<=*h**i*<=≤<=*...
Print one integer — the final position along the *x*-axis of the bone.
[ "7 3 4\n3 4 6\n1 2\n2 5\n5 7\n7 1\n", "5 1 2\n2\n1 2\n2 4\n" ]
[ "1", "2" ]
In the first sample, after the operations, the bone becomes at *x* = 2, *x* = 5, *x* = 7, and *x* = 1, respectively. In the second sample, after the first operation, the bone becomes at *x* = 2, and falls into the hole onto the ground.
[ { "input": "7 3 4\n3 4 6\n1 2\n2 5\n5 7\n7 1", "output": "1" }, { "input": "5 1 2\n2\n1 2\n2 4", "output": "2" }, { "input": "10000 1 9\n55\n44 1\n2929 9292\n9999 9998\n44 55\n49 94\n55 53\n100 199\n55 50\n53 11", "output": "55" }, { "input": "100000 3 7\n2 3 4\n1 5\n5 1\n1 5...
93
0
-1
1,822
465
inc ARG
[ "implementation" ]
null
null
Sergey is testing a next-generation processor. Instead of bytes the processor works with memory cells consisting of *n* bits. These bits are numbered from 1 to *n*. An integer is stored in the cell in the following way: the least significant bit is stored in the first bit of the cell, the next significant bit is stored...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of bits in the cell. The second line contains a string consisting of *n* characters — the initial state of the cell. The first character denotes the state of the first bit of the cell. The second character denotes the second least significan...
Print a single integer — the number of bits in the cell which change their state after we add 1 to the cell.
[ "4\n1100\n", "4\n1111\n" ]
[ "3\n", "4\n" ]
In the first sample the cell ends up with value 0010, in the second sample — with 0000.
[ { "input": "4\n1100", "output": "3" }, { "input": "4\n1111", "output": "4" }, { "input": "1\n0", "output": "1" }, { "input": "1\n1", "output": "1" }, { "input": "2\n00", "output": "1" }, { "input": "2\n01", "output": "1" }, { "input": "2\n1...
62
0
3
1,824
903
Hungry Student Problem
[ "greedy", "implementation" ]
null
null
Ivan's classes at the university have just finished, and now he wants to go to the local CFK cafe and eat some fried chicken. CFK sells chicken chunks in small and large portions. A small portion contains 3 chunks; a large one — 7 chunks. Ivan wants to eat exactly *x* chunks. Now he wonders whether he can buy exactly ...
The first line contains one integer *n* (1<=≤<=*n*<=≤<=100) — the number of testcases. The *i*-th of the following *n* lines contains one integer *x**i* (1<=≤<=*x**i*<=≤<=100) — the number of chicken chunks Ivan wants to eat.
Print *n* lines, in *i*-th line output YES if Ivan can buy exactly *x**i* chunks. Otherwise, print NO.
[ "2\n6\n5\n" ]
[ "YES\nNO\n" ]
In the first example Ivan can buy two small portions. In the second example Ivan cannot buy exactly 5 chunks, since one small portion is not enough, but two small portions or one large is too much.
[ { "input": "2\n6\n5", "output": "YES\nNO" }, { "input": "100\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n21\n22\n23\n24\n25\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n38\n39\n40\n41\n42\n43\n44\n45\n46\n47\n48\n49\n50\n51\n52\n53\n54\n55\n56\n57\n58\n59\n60\n61\n62\...
46
0
0
1,825
325
Stadium and Games
[ "binary search", "math" ]
null
null
Daniel is organizing a football tournament. He has come up with the following tournament format: 1. In the first several (possibly zero) stages, while the number of teams is even, they split in pairs and play one game for each pair. At each stage the loser of each pair is eliminated (there are no draws). Such stages...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1018), the number of games that should be played. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
Print all possible numbers of invited teams in ascending order, one per line. If exactly *n* games cannot be played, output one number: -1.
[ "3\n", "25\n", "2\n" ]
[ "3\n4\n", "20\n", "-1\n" ]
none
[ { "input": "3", "output": "3\n4" }, { "input": "25", "output": "20" }, { "input": "2", "output": "-1" }, { "input": "1", "output": "2" }, { "input": "15", "output": "10\n16" }, { "input": "314", "output": "-1" }, { "input": "524800", "o...
1,000
1,843,200
0
1,826
1,000
Light It Up
[ "greedy" ]
null
null
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment $0$ and turn power off at moment $M$. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunate...
First line contains two space separated integers $n$ and $M$ ($1 \le n \le 10^5$, $2 \le M \le 10^9$) — the length of program $a$ and the moment when power turns off. Second line contains $n$ space separated integers $a_1, a_2, \dots, a_n$ ($0 &lt; a_1 &lt; a_2 &lt; \dots &lt; a_n &lt; M$) — initially installed progra...
Print the only integer — maximum possible total time when the lamp is lit.
[ "3 10\n4 6 7\n", "2 12\n1 10\n", "2 7\n3 4\n" ]
[ "8\n", "9\n", "6\n" ]
In the first example, one of possible optimal solutions is to insert value $x = 3$ before $a_1$, so program will be $[3, 4, 6, 7]$ and time of lamp being lit equals $(3 - 0) + (6 - 4) + (10 - 7) = 8$. Other possible solution is to insert $x = 5$ in appropriate place. In the second example, there is only one optimal so...
[ { "input": "3 10\n4 6 7", "output": "8" }, { "input": "2 12\n1 10", "output": "9" }, { "input": "2 7\n3 4", "output": "6" }, { "input": "1 2\n1", "output": "1" }, { "input": "5 10\n1 3 5 6 8", "output": "6" }, { "input": "7 1000000000\n1 10001 10011 20...
77
14,028,800
3
1,838
725
Hidden Word
[ "brute force", "constructive algorithms", "implementation", "strings" ]
null
null
Let’s define a grid to be a set of tiles with 2 rows and 13 columns. Each tile has an English letter written in it. The letters don't have to be unique: there might be two or more tiles with the same letter written on them. Here is an example of a grid: We say that two tiles are adjacent if they share a side or a corn...
The only line of the input contains the string *s*, consisting of 27 upper-case English letters. Each English letter occurs at least once in *s*.
Output two lines, each consisting of 13 upper-case English characters, representing the rows of the grid. If there are multiple solutions, print any of them. If there is no solution print "Impossible".
[ "ABCDEFGHIJKLMNOPQRSGTUVWXYZ\n", "BUVTYZFQSNRIWOXXGJLKACPEMDH\n" ]
[ "YXWVUTGHIJKLM\nZABCDEFSRQPON\n", "Impossible\n" ]
none
[ { "input": "ABCDEFGHIJKLMNOPQRSGTUVWXYZ", "output": "YXWVUTGHIJKLM\nZABCDEFSRQPON" }, { "input": "BUVTYZFQSNRIWOXXGJLKACPEMDH", "output": "Impossible" }, { "input": "DYCEUXXKMGZOINVPHWQSRTABLJF", "output": "Impossible" }, { "input": "UTEDBZRVWLOFUASHCYIPXGJMKNQ", "output"...
77
307,200
3
1,840
79
Colorful Field
[ "implementation", "sortings" ]
B. Colorful Field
2
256
Fox Ciel saw a large field while she was on a bus. The field was a *n*<=×<=*m* rectangle divided into 1<=×<=1 cells. Some cells were wasteland, and other each cell contained crop plants: either carrots or kiwis or grapes. After seeing the field carefully, Ciel found that the crop plants of each cell were planted in f...
In the first line there are four positive integers *n*,<=*m*,<=*k*,<=*t* (1<=≤<=*n*<=≤<=4·104,<=1<=≤<=*m*<=≤<=4·104,<=1<=≤<=*k*<=≤<=103,<=1<=≤<=*t*<=≤<=103), each of which represents the height of the field, the width of the field, the number of waste cells and the number of queries that ask the kind of crop plants in ...
For each query, if the cell is waste, print Waste. Otherwise, print the name of crop plants in the cell: either Carrots or Kiwis or Grapes.
[ "4 5 5 6\n4 3\n1 3\n3 3\n2 5\n3 2\n1 3\n1 4\n2 3\n2 4\n1 1\n1 1\n" ]
[ "Waste\nGrapes\nCarrots\nKiwis\nCarrots\nCarrots\n" ]
The sample corresponds to the figure in the statement.
[ { "input": "4 5 5 6\n4 3\n1 3\n3 3\n2 5\n3 2\n1 3\n1 4\n2 3\n2 4\n1 1\n1 1", "output": "Waste\nGrapes\nCarrots\nKiwis\nCarrots\nCarrots" }, { "input": "2 3 2 2\n1 1\n2 2\n2 1\n2 2", "output": "Grapes\nWaste" }, { "input": "31 31 31 4\n4 9\n16 27\n11 29\n8 28\n11 2\n10 7\n22 6\n1 25\n14 8...
122
0
-1
1,846
820
Mister B and Angle in Polygon
[ "constructive algorithms", "geometry", "math" ]
null
null
On one quiet day all of sudden Mister B decided to draw angle *a* on his field. Aliens have already visited his field and left many different geometric figures on it. One of the figures is regular convex *n*-gon (regular convex polygon with *n* sides). That's why Mister B decided to use this polygon. Now Mister B must...
First and only line contains two space-separated integers *n* and *a* (3<=≤<=*n*<=≤<=105, 1<=≤<=*a*<=≤<=180) — the number of vertices in the polygon and the needed angle, in degrees.
Print three space-separated integers: the vertices *v*1, *v*2, *v*3, which form . If there are multiple optimal solutions, print any of them. The vertices are numbered from 1 to *n* in clockwise order.
[ "3 15\n", "4 67\n", "4 68\n" ]
[ "1 2 3\n", "2 1 3\n", "4 1 2\n" ]
In first sample test vertices of regular triangle can create only angle of 60 degrees, that's why every possible angle is correct. Vertices of square can create 45 or 90 degrees angles only. That's why in second sample test the angle of 45 degrees was chosen, since |45 - 67| &lt; |90 - 67|. Other correct answers are: ...
[ { "input": "3 15", "output": "2 1 3" }, { "input": "4 67", "output": "2 1 3" }, { "input": "4 68", "output": "2 1 4" }, { "input": "3 1", "output": "2 1 3" }, { "input": "3 180", "output": "2 1 3" }, { "input": "100000 1", "output": "2 1 558" }, ...
92
23,142,400
0
1,850
166
Tetrahedron
[ "dp", "math", "matrices" ]
null
null
You are given a tetrahedron. Let's mark its vertices with letters *A*, *B*, *C* and *D* correspondingly. An ant is standing in the vertex *D* of the tetrahedron. The ant is quite active and he wouldn't stay idle. At each moment of time he makes a step from one vertex to another one along some edge of the tetrahedron. ...
The first line contains the only integer *n* (1<=≤<=*n*<=≤<=107) — the required length of the cyclic path.
Print the only integer — the required number of ways modulo 1000000007 (109<=+<=7).
[ "2\n", "4\n" ]
[ "3\n", "21\n" ]
The required paths in the first sample are: - *D* - *A* - *D* - *D* - *B* - *D* - *D* - *C* - *D*
[ { "input": "2", "output": "3" }, { "input": "4", "output": "21" }, { "input": "1", "output": "0" }, { "input": "3", "output": "6" }, { "input": "5", "output": "60" }, { "input": "6", "output": "183" }, { "input": "7", "output": "546" ...
124
0
0
1,856
181
Series of Crimes
[ "brute force", "geometry", "implementation" ]
null
null
The Berland capital is shaken with three bold crimes committed by the Pihsters, a notorious criminal gang. The Berland capital's map is represented by an *n*<=×<=*m* rectangular table. Each cell of the table on the map represents some districts of the capital. The capital's main detective Polycarpus took a map and m...
The first line contains two space-separated integers *n* and *m* (2<=≤<=*n*,<=*m*<=≤<=100) — the number of rows and columns in the table, correspondingly. Each of the next *n* lines contains *m* characters — the description of the capital's map. Each character can either be a "." (dot), or an "*" (asterisk). A charact...
Print two integers — the number of the row and the number of the column of the city district that is the fourth one to be robbed. The rows are numbered starting from one from top to bottom and the columns are numbered starting from one from left to right.
[ "3 2\n.*\n..\n**\n", "3 3\n*.*\n*..\n...\n" ]
[ "1 1\n", "2 3\n" ]
none
[ { "input": "3 2\n.*\n..\n**", "output": "1 1" }, { "input": "2 5\n*....\n*...*", "output": "1 5" }, { "input": "7 2\n..\n**\n..\n..\n..\n..\n.*", "output": "7 1" }, { "input": "7 2\n*.\n..\n..\n..\n..\n..\n**", "output": "1 2" }, { "input": "2 10\n*......*..\n.......
92
0
3
1,861
803
Maximal Binary Matrix
[ "constructive algorithms" ]
null
null
You are given matrix with *n* rows and *n* columns filled with zeroes. You should put *k* ones in it in such a way that the resulting matrix is symmetrical with respect to the main diagonal (the diagonal that goes from the top left to the bottom right corner) and is lexicographically maximal. One matrix is lexicograph...
The first line consists of two numbers *n* and *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=106).
If the answer exists then output resulting matrix. Otherwise output -1.
[ "2 1\n", "3 2\n", "2 5\n" ]
[ "1 0 \n0 0 \n", "1 0 0 \n0 1 0 \n0 0 0 \n", "-1\n" ]
none
[ { "input": "2 1", "output": "1 0 \n0 0 " }, { "input": "3 2", "output": "1 0 0 \n0 1 0 \n0 0 0 " }, { "input": "2 5", "output": "-1" }, { "input": "1 0", "output": "0 " }, { "input": "1 1", "output": "1 " }, { "input": "20 398", "output": "1 1 1 1 ...
46
0
3
1,862
900
Position in Fraction
[ "math", "number theory" ]
null
null
You have a fraction . You need to find the first occurrence of digit *c* into decimal notation of the fraction after decimal point.
The first contains three single positive integers *a*, *b*, *c* (1<=≤<=*a*<=&lt;<=*b*<=≤<=105, 0<=≤<=*c*<=≤<=9).
Print position of the first occurrence of digit *c* into the fraction. Positions are numbered from 1 after decimal point. It there is no such position, print -1.
[ "1 2 0\n", "2 3 7\n" ]
[ "2", "-1" ]
The fraction in the first example has the following decimal notation: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/896357459a466614a0542f34c9cfb0cef1afc9ed.png" style="max-width: 100.0%;max-height: 100.0%;"/>. The first zero stands on second position. The fraction in the second example ...
[ { "input": "1 2 0", "output": "2" }, { "input": "2 3 7", "output": "-1" }, { "input": "1 100000 1", "output": "5" }, { "input": "1 7 7", "output": "6" }, { "input": "99999 100000 8", "output": "-1" }, { "input": "44102 73848 2", "output": "132" }...
62
5,529,600
0
1,864
134
Pairs of Numbers
[ "brute force", "dfs and similar", "math", "number theory" ]
null
null
Let's assume that we have a pair of numbers (*a*,<=*b*). We can get a new pair (*a*<=+<=*b*,<=*b*) or (*a*,<=*a*<=+<=*b*) from the given pair in a single step. Let the initial pair of numbers be (1,1). Your task is to find number *k*, that is, the least number of steps needed to transform (1,1) into the pair where at ...
The input contains the only integer *n* (1<=≤<=*n*<=≤<=106).
Print the only integer *k*.
[ "5\n", "1\n" ]
[ "3\n", "0\n" ]
The pair (1,1) can be transformed into a pair containing 5 in three moves: (1,1)  →  (1,2)  →  (3,2)  →  (5,2).
[ { "input": "5", "output": "3" }, { "input": "1", "output": "0" }, { "input": "2", "output": "1" }, { "input": "3", "output": "2" }, { "input": "4", "output": "3" }, { "input": "10", "output": "5" }, { "input": "1009", "output": "15" }...
171
614,400
-1
1,871
914
Palindromes in a Tree
[ "bitmasks", "data structures", "divide and conquer", "trees" ]
null
null
You are given a tree (a connected acyclic undirected graph) of *n* vertices. Vertices are numbered from 1 to *n* and each vertex is assigned a character from a to t. A path in the tree is said to be palindromic if at least one permutation of the labels in the path is a palindrome. For each vertex, output the number o...
The first line contains an integer *n* (2<=≤<=*n*<=≤<=2·105)  — the number of vertices in the tree. The next *n*<=-<=1 lines each contain two integers *u* and *v* (1<=<=≤<=<=*u*,<=*v*<=<=≤<=<=*n*,<=*u*<=≠<=*v*) denoting an edge connecting vertex *u* and vertex *v*. It is guaranteed that the given graph is a tree. The...
Print *n* integers in a single line, the *i*-th of which is the number of palindromic paths passing through vertex *i* in the tree.
[ "5\n1 2\n2 3\n3 4\n3 5\nabcbb\n", "7\n6 2\n4 3\n3 7\n5 2\n7 2\n1 4\nafefdfs\n" ]
[ "1 3 4 3 3 \n", "1 4 1 1 2 4 2 \n" ]
In the first sample case, the following paths are palindromic: 2 - 3 - 4 2 - 3 - 5 4 - 3 - 5 Additionally, all paths containing only one vertex are palindromic. Listed below are a few paths in the first sample that are not palindromic: 1 - 2 - 3 1 - 2 - 3 - 4 1 - 2 - 3 - 5
[ { "input": "5\n1 2\n2 3\n3 4\n3 5\nabcbb", "output": "1 3 4 3 3 " }, { "input": "7\n6 2\n4 3\n3 7\n5 2\n7 2\n1 4\nafefdfs", "output": "1 4 1 1 2 4 2 " }, { "input": "5\n3 1\n3 5\n5 4\n5 2\nticdm", "output": "1 1 1 1 1 " }, { "input": "10\n10 8\n3 2\n9 7\n1 5\n5 3\n7 6\n8 4\n1...
30
0
0
1,873
5
Follow Traffic Rules
[ "implementation", "math" ]
D. Follow Traffic Rules
1
64
Everybody knows that the capital of Berland is connected to Bercouver (the Olympic capital) by a direct road. To improve the road's traffic capacity, there was placed just one traffic sign, limiting the maximum speed. Traffic signs in Berland are a bit peculiar, because they limit the speed only at that point on the ro...
The first line of the input file contains two integer numbers *a* and *v* (1<=≤<=*a*,<=*v*<=≤<=10000). The second line contains three integer numbers *l*, *d* and *w* (2<=≤<=*l*<=≤<=10000; 1<=≤<=*d*<=&lt;<=*l*; 1<=≤<=*w*<=≤<=10000).
Print the answer with at least five digits after the decimal point.
[ "1 1\n2 1 3\n", "5 70\n200 170 40\n" ]
[ "2.500000000000\n", "8.965874696353\n" ]
none
[ { "input": "1 1\n2 1 3", "output": "2.500000000000" }, { "input": "5 70\n200 170 40", "output": "8.965874696353" }, { "input": "6 80\n100 50 10", "output": "7.312347829731" }, { "input": "7 80\n100 50 50", "output": "5.345224838248" }, { "input": "8 80\n100 50 199...
154
307,200
0
1,874
900
Find Extra One
[ "geometry", "implementation" ]
null
null
You have *n* distinct points on a plane, none of them lie on *OY* axis. Check that there is a point after removal of which the remaining points are located on one side of the *OY* axis.
The first line contains a single positive integer *n* (2<=≤<=*n*<=≤<=105). The following *n* lines contain coordinates of the points. The *i*-th of these lines contains two single integers *x**i* and *y**i* (|*x**i*|,<=|*y**i*|<=≤<=109, *x**i*<=≠<=0). No two points coincide.
Print "Yes" if there is such a point, "No" — otherwise. You can print every letter in any case (upper or lower).
[ "3\n1 1\n-1 -1\n2 -1\n", "4\n1 1\n2 2\n-1 1\n-2 2\n", "3\n1 2\n2 1\n4 60\n" ]
[ "Yes", "No", "Yes" ]
In the first example the second point can be removed. In the second example there is no suitable for the condition point. In the third example any point can be removed.
[ { "input": "3\n1 1\n-1 -1\n2 -1", "output": "Yes" }, { "input": "4\n1 1\n2 2\n-1 1\n-2 2", "output": "No" }, { "input": "3\n1 2\n2 1\n4 60", "output": "Yes" }, { "input": "10\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n-1 -1", "output": "Yes" }, { "input": "2\n1...
296
0
3
1,875
478
Initial Bet
[ "implementation" ]
null
null
There are five people playing a game called "Generosity". Each person gives some non-zero number of coins *b* as an initial bet. After all players make their bets of *b* coins, the following operation is repeated for several times: a coin is passed from one player to some other player. Your task is to write a program ...
The input consists of a single line containing five integers *c*1,<=*c*2,<=*c*3,<=*c*4 and *c*5 — the number of coins that the first, second, third, fourth and fifth players respectively have at the end of the game (0<=≤<=*c*1,<=*c*2,<=*c*3,<=*c*4,<=*c*5<=≤<=100).
Print the only line containing a single positive integer *b* — the number of coins in the initial bet of each player. If there is no such value of *b*, then print the only value "-1" (quotes for clarity).
[ "2 5 4 0 4\n", "4 5 9 2 1\n" ]
[ "3\n", "-1\n" ]
In the first sample the following sequence of operations is possible: 1. One coin is passed from the fourth player to the second player; 1. One coin is passed from the fourth player to the fifth player; 1. One coin is passed from the first player to the third player; 1. One coin is passed from the fourth player to...
[ { "input": "2 5 4 0 4", "output": "3" }, { "input": "4 5 9 2 1", "output": "-1" }, { "input": "0 0 0 0 0", "output": "-1" }, { "input": "1 2 1 2 3", "output": "-1" }, { "input": "100 0 0 0 0", "output": "20" }, { "input": "2 3 4 5 6", "output": "4"...
46
0
0
1,877
277
Learning Languages
[ "dfs and similar", "dsu" ]
null
null
The "BerCorp" company has got *n* employees. These employees can use *m* approved official languages for the formal correspondence. The languages are numbered with integers from 1 to *m*. For each employee we have the list of languages, which he knows. This list could be empty, i. e. an employee may know no official la...
The first line contains two integers *n* and *m* (2<=≤<=*n*,<=*m*<=≤<=100) — the number of employees and the number of languages. Then *n* lines follow — each employee's language list. At the beginning of the *i*-th line is integer *k**i* (0<=≤<=*k**i*<=≤<=*m*) — the number of languages the *i*-th employee knows. Next...
Print a single integer — the minimum amount of money to pay so that in the end every employee could write a letter to every other one (other employees can help out translating).
[ "5 5\n1 2\n2 2 3\n2 3 4\n2 4 5\n1 5\n", "8 7\n0\n3 1 2 3\n1 1\n2 5 4\n2 6 7\n1 3\n2 7 4\n1 1\n", "2 2\n1 2\n0\n" ]
[ "0\n", "2\n", "1\n" ]
In the second sample the employee 1 can learn language 2, and employee 8 can learn language 4. In the third sample employee 2 must learn language 2.
[ { "input": "5 5\n1 2\n2 2 3\n2 3 4\n2 4 5\n1 5", "output": "0" }, { "input": "8 7\n0\n3 1 2 3\n1 1\n2 5 4\n2 6 7\n1 3\n2 7 4\n1 1", "output": "2" }, { "input": "2 2\n1 2\n0", "output": "1" }, { "input": "2 2\n0\n0", "output": "2" }, { "input": "5 5\n1 3\n0\n0\n2 4...
280
0
0
1,878
73
LionAge II
[ "dp" ]
C. LionAge II
2
256
Vasya plays the LionAge II. He was bored of playing with a stupid computer, so he installed this popular MMORPG, to fight with his friends. Vasya came up with the name of his character — non-empty string *s*, consisting of a lowercase Latin letters. However, in order not to put up a front of friends, Vasya has decided ...
The first line contains character's name *s* and an integer number *k* (0<=≤<=*k*<=≤<=100). The length of the nonempty string *s* does not exceed 100. The second line contains an integer number *n* (0<=≤<=*n*<=≤<=676) — amount of pairs of letters, giving bonus to the euphony. The next *n* lines contain description of t...
Output the only number — maximum possible euphony оf the new character's name.
[ "winner 4\n4\ns e 7\no s 8\nl o 13\no o 8\n", "abcdef 1\n5\na b -10\nb c 5\nc d 5\nd e 5\ne f 5\n" ]
[ "36", "20" ]
In the first example the most euphony name will be *looser*. It is easy to calculate that its euphony is 36.
[ { "input": "winner 4\n4\ns e 7\no s 8\nl o 13\no o 8", "output": "36" }, { "input": "abcdef 1\n5\na b -10\nb c 5\nc d 5\nd e 5\ne f 5", "output": "20" }, { "input": "akcbd 2\n3\na d 55\nb z 100\nb c 50", "output": "155" }, { "input": "adcbd 1\n3\na d 55\nb z 100\nb c 50", ...
2,000
30,208,000
0
1,885
626
Robot Sequence
[ "brute force", "implementation" ]
null
null
Calvin the robot lies in an infinite rectangular grid. Calvin's source code contains a list of *n* commands, each either 'U', 'R', 'D', or 'L' — instructions to move a single square up, right, down, or left, respectively. How many ways can Calvin execute a non-empty contiguous substrings of commands and return to the s...
The first line of the input contains a single positive integer, *n* (1<=≤<=*n*<=≤<=200) — the number of commands. The next line contains *n* characters, each either 'U', 'R', 'D', or 'L' — Calvin's source code.
Print a single integer — the number of contiguous substrings that Calvin can execute and return to his starting square.
[ "6\nURLLDR\n", "4\nDLUU\n", "7\nRLRLRLR\n" ]
[ "2\n", "0\n", "12\n" ]
In the first case, the entire source code works, as well as the "RL" substring in the second and third characters. Note that, in the third case, the substring "LR" appears three times, and is therefore counted three times to the total result.
[ { "input": "6\nURLLDR", "output": "2" }, { "input": "4\nDLUU", "output": "0" }, { "input": "7\nRLRLRLR", "output": "12" }, { "input": "1\nR", "output": "0" }, { "input": "100\nURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDL...
77
0
3
1,887
602
Approximating a Constant Range
[ "dp", "implementation", "two pointers" ]
null
null
When Xellos was doing a practice course in university, he once had to measure the intensity of an effect that slowly approached equilibrium. A good way to determine the equilibrium intensity would be choosing a sufficiently large number of consecutive data points that seems as constant as possible and taking their aver...
The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000) — the number of data points. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100<=000).
Print a single number — the maximum length of an almost constant range of the given sequence.
[ "5\n1 2 3 3 2\n", "11\n5 4 5 5 6 7 8 8 8 7 6\n" ]
[ "4\n", "5\n" ]
In the first sample, the longest almost constant range is [2, 5]; its length (the number of data points in it) is 4. In the second sample, there are three almost constant ranges of length 4: [1, 4], [6, 9] and [7, 10]; the only almost constant range of the maximum length 5 is [6, 10].
[ { "input": "5\n1 2 3 3 2", "output": "4" }, { "input": "11\n5 4 5 5 6 7 8 8 8 7 6", "output": "5" }, { "input": "2\n3 2", "output": "2" }, { "input": "4\n1001 1000 1000 1001", "output": "4" }, { "input": "4\n1 1 2 3", "output": "3" }, { "input": "3\n1 ...
249
7,372,800
3
1,888
396
On Changing Tree
[ "data structures", "graphs", "trees" ]
null
null
You are given a rooted tree consisting of *n* vertices numbered from 1 to *n*. The root of the tree is a vertex number 1. Initially all vertices contain number 0. Then come *q* queries, each query has one of the two types: - The format of the query: 1 *v* *x* *k*. In response to the query, you need to add to the num...
The first line contains integer *n* (1<=≤<=*n*<=≤<=3·105) — the number of vertices in the tree. 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 vertex that is the parent of vertex *i* in the tree. The third line contains integer *q* (1<=...
For each query of the second type print on a single line the number written in the vertex from the query. Print the number modulo 1000000007 (109<=+<=7).
[ "3\n1 1\n3\n1 1 2 1\n2 1\n2 2\n" ]
[ "2\n1\n" ]
You can read about a rooted tree here: http://en.wikipedia.org/wiki/Tree_(graph_theory).
[ { "input": "3\n1 1\n3\n1 1 2 1\n2 1\n2 2", "output": "2\n1" }, { "input": "10\n1 2 3 4 4 3 3 6 7\n10\n1 6 13 98\n1 7 17 66\n1 5 32 39\n1 1 9 5\n1 7 27 11\n1 1 24 79\n1 5 87 86\n2 2\n1 5 9 38\n2 5", "output": "999999956\n999999832" }, { "input": "1\n\n1\n2 1", "output": "0" } ]
30
0
0
1,890
884
Boxes And Balls
[ "data structures", "greedy" ]
null
null
Ivan has *n* different boxes. The first of them contains some balls of *n* different colors. Ivan wants to play a strange game. He wants to distribute the balls into boxes in such a way that for every *i* (1<=≤<=*i*<=≤<=*n*) *i*-th box will contain all balls with color *i*. In order to do this, Ivan will make some tu...
The first line contains one integer number *n* (1<=≤<=*n*<=≤<=200000) — the number of boxes and colors. The second line contains *n* integer numbers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=109), where *a**i* is the number of balls with color *i*.
Print one number — the minimum possible penalty of the game.
[ "3\n1 2 3\n", "4\n2 3 4 5\n" ]
[ "6\n", "19\n" ]
In the first example you take all the balls from the first box, choose *k* = 3 and sort all colors to corresponding boxes. Penalty is 6. In the second example you make two turns: 1. Take all the balls from the first box, choose *k* = 3, put balls of color 3 to the third box, of color 4 — to the fourth box and the r...
[ { "input": "3\n1 2 3", "output": "6" }, { "input": "4\n2 3 4 5", "output": "19" }, { "input": "6\n1 4 4 4 4 4", "output": "38" }, { "input": "8\n821407370 380061316 428719552 90851747 825473738 704702117 845629927 245820158", "output": "8176373828" }, { "input": "...
93
3,072,000
-1
1,891
946
Partition
[ "greedy" ]
null
null
You are given a sequence *a* consisting of *n* integers. You may partition this sequence into two sequences *b* and *c* in such a way that every element belongs exactly to one of these sequences. Let *B* be the sum of elements belonging to *b*, and *C* be the sum of elements belonging to *c* (if some of these sequenc...
The first line contains one integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in *a*. The second line contains *n* integers *a*1, *a*2, ..., *a**n* (<=-<=100<=≤<=*a**i*<=≤<=100) — the elements of sequence *a*.
Print the maximum possible value of *B*<=-<=*C*, where *B* is the sum of elements of sequence *b*, and *C* is the sum of elements of sequence *c*.
[ "3\n1 -2 0\n", "6\n16 23 16 15 42 8\n" ]
[ "3\n", "120\n" ]
In the first example we may choose *b* = {1, 0}, *c* = { - 2}. Then *B* = 1, *C* =  - 2, *B* - *C* = 3. In the second example we choose *b* = {16, 23, 16, 15, 42, 8}, *c* = {} (an empty sequence). Then *B* = 120, *C* = 0, *B* - *C* = 120.
[ { "input": "3\n1 -2 0", "output": "3" }, { "input": "6\n16 23 16 15 42 8", "output": "120" }, { "input": "1\n-1", "output": "1" }, { "input": "100\n-100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -10...
140
0
3
1,893
121
Lucky Sum
[ "implementation" ]
null
null
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Let *next*(*x*) be the minimum lucky number which is larger than or equals *x*. Petya is interested ...
The single line contains two integers *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=109) — the left and right interval limits.
In the single line print the only number — the sum *next*(*l*)<=+<=*next*(*l*<=+<=1)<=+<=...<=+<=*next*(*r*<=-<=1)<=+<=*next*(*r*). Please do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator.
[ "2 7\n", "7 7\n" ]
[ "33\n", "7\n" ]
In the first sample: *next*(2) + *next*(3) + *next*(4) + *next*(5) + *next*(6) + *next*(7) = 4 + 4 + 4 + 7 + 7 + 7 = 33 In the second sample: *next*(7) = 7
[ { "input": "2 7", "output": "33" }, { "input": "7 7", "output": "7" }, { "input": "1 9", "output": "125" }, { "input": "4 7", "output": "25" }, { "input": "12 47", "output": "1593" }, { "input": "6 77", "output": "4012" }, { "input": "1 100...
46
307,200
0
1,895
485
Factory
[ "implementation", "math", "matrices" ]
null
null
One industrial factory is reforming working plan. The director suggested to set a mythical detail production norm. If at the beginning of the day there were *x* details in the factory storage, then by the end of the day the factory has to produce (remainder after dividing *x* by *m*) more details. Unfortunately, no cu...
The first line contains two integers *a* and *m* (1<=≤<=*a*,<=*m*<=≤<=105).
Print "Yes" (without quotes) if the production will eventually stop, otherwise print "No".
[ "1 5\n", "3 6\n" ]
[ "No\n", "Yes\n" ]
none
[ { "input": "1 5", "output": "No" }, { "input": "3 6", "output": "Yes" }, { "input": "1 8", "output": "Yes" }, { "input": "2 3", "output": "No" }, { "input": "3 24", "output": "Yes" }, { "input": "1 1", "output": "Yes" }, { "input": "100000 ...
93
0
-1
1,896
821
Okabe and Future Gadget Laboratory
[ "implementation" ]
null
null
Okabe needs to renovate the Future Gadget Laboratory after he tried doing some crazy experiments! The lab is represented as an *n* by *n* square grid of integers. A good lab is defined as a lab in which every number not equal to 1 can be expressed as the sum of a number in the same row and a number in the same column. ...
The first line of input contains the integer *n* (1<=≤<=*n*<=≤<=50) — the size of the lab. The next *n* lines contain *n* space-separated integers denoting a row of the grid. The *j*-th integer in the *i*-th row is *a**i*,<=*j* (1<=≤<=*a**i*,<=*j*<=≤<=105).
Print "Yes" if the given lab is good and "No" otherwise. You can output each letter in upper or lower case.
[ "3\n1 1 2\n2 3 1\n6 4 1\n", "3\n1 5 2\n1 1 1\n1 2 3\n" ]
[ "Yes\n", "No\n" ]
In the first sample test, the 6 in the bottom left corner is valid because it is the sum of the 2 above it and the 4 on the right. The same holds for every number not equal to 1 in this table, so the answer is "Yes". In the second sample test, the 5 cannot be formed as the sum of an integer in the same row and an inte...
[ { "input": "3\n1 1 2\n2 3 1\n6 4 1", "output": "Yes" }, { "input": "3\n1 5 2\n1 1 1\n1 2 3", "output": "No" }, { "input": "1\n1", "output": "Yes" }, { "input": "4\n1 1 1 1\n1 11 1 2\n2 5 1 4\n3 9 4 1", "output": "Yes" }, { "input": "4\n1 1 1 1\n1 7 1 1\n1 3 1 2\n2...
62
409,600
3
1,901
817
Really Big Numbers
[ "binary search", "brute force", "dp", "math" ]
null
null
Ivan likes to learn different things about numbers, but he is especially interested in really big numbers. Ivan thinks that a positive integer number *x* is really big if the difference between *x* and the sum of its digits (in decimal representation) is not less than *s*. To prove that these numbers may have different...
The first (and the only) line contains two integers *n* and *s* (1<=≤<=*n*,<=*s*<=≤<=1018).
Print one integer — the quantity of really big numbers that are not greater than *n*.
[ "12 1\n", "25 20\n", "10 9\n" ]
[ "3\n", "0\n", "1\n" ]
In the first example numbers 10, 11 and 12 are really big. In the second example there are no really big numbers that are not greater than 25 (in fact, the first really big number is 30: 30 - 3 ≥ 20). In the third example 10 is the only really big number (10 - 1 ≥ 9).
[ { "input": "12 1", "output": "3" }, { "input": "25 20", "output": "0" }, { "input": "10 9", "output": "1" }, { "input": "300 1000", "output": "0" }, { "input": "500 1000", "output": "0" }, { "input": "1000 2000", "output": "0" }, { "input":...
108
21,708,800
0
1,903
479
Expression
[ "brute force", "math" ]
null
null
Petya studies in a school and he adores Maths. His class has been studying arithmetic expressions. On the last class the teacher wrote three positive integers *a*, *b*, *c* on the blackboard. The task was to insert signs of operations '+' and '*', and probably brackets between the numbers so that the value of the resul...
The input contains three integers *a*, *b* and *c*, each on a single line (1<=≤<=*a*,<=*b*,<=*c*<=≤<=10).
Print the maximum value of the expression that you can obtain.
[ "1\n2\n3\n", "2\n10\n3\n" ]
[ "9\n", "60\n" ]
none
[ { "input": "1\n2\n3", "output": "9" }, { "input": "2\n10\n3", "output": "60" }, { "input": "1\n1\n1", "output": "3" }, { "input": "1\n2\n1", "output": "4" }, { "input": "10\n10\n10", "output": "1000" }, { "input": "5\n1\n3", "output": "20" }, {...
31
0
-1
1,905
633
Fibonacci-ish
[ "brute force", "dp", "hashing", "implementation", "math" ]
null
null
Yash has recently learnt about the Fibonacci sequence and is very excited about it. He calls a sequence Fibonacci-ish if 1. the sequence consists of at least two elements 1. *f*0 and *f*1 are arbitrary 1. *f**n*<=+<=2<==<=*f**n*<=+<=1<=+<=*f**n* for all *n*<=≥<=0. You are given some sequence of integers *a*1,<=*a...
The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=1000) — the length of the sequence *a**i*. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (|*a**i*|<=≤<=109).
Print the length of the longest possible Fibonacci-ish prefix of the given sequence after rearrangement.
[ "3\n1 2 -1\n", "5\n28 35 7 14 21\n" ]
[ "3\n", "4\n" ]
In the first sample, if we rearrange elements of the sequence as  - 1, 2, 1, the whole sequence *a*<sub class="lower-index">*i*</sub> would be Fibonacci-ish. In the second sample, the optimal way to rearrange elements is <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/16f1f7e35511b29cb1396...
[ { "input": "3\n1 2 -1", "output": "3" }, { "input": "5\n28 35 7 14 21", "output": "4" }, { "input": "11\n-9 -1 -10 9 7 -4 0 -8 -3 3 5", "output": "5" }, { "input": "10\n-4 -8 -8 8 -9 0 -7 9 1 0", "output": "4" }, { "input": "2\n2 2", "output": "2" }, { ...
140
1,228,800
0
1,909
909
Segments
[ "constructive algorithms", "math" ]
null
null
You are given an integer *N*. Consider all possible segments on the coordinate axis with endpoints at integer points with coordinates between 0 and *N*, inclusive; there will be of them. You want to draw these segments in several layers so that in each layer the segments don't overlap (they might touch at the endpoin...
The only input line contains a single integer *N* (1<=≤<=*N*<=≤<=100).
Output a single integer - the minimal number of layers required to draw the segments for the given *N*.
[ "2\n", "3\n", "4\n" ]
[ "2\n", "4\n", "6\n" ]
As an example, here are the segments and their optimal arrangement into layers for *N* = 4.
[ { "input": "2", "output": "2" }, { "input": "3", "output": "4" }, { "input": "4", "output": "6" }, { "input": "21", "output": "121" }, { "input": "100", "output": "2550" }, { "input": "1", "output": "1" }, { "input": "5", "output": "9" ...
109
0
3
1,914
400
Inna and Choose Options
[ "implementation" ]
null
null
There always is something to choose from! And now, instead of "Noughts and Crosses", Inna choose a very unusual upgrade of this game. The rules of the game are given below: There is one person playing the game. Before the beginning of the game he puts 12 cards in a row on the table. Each card contains a character: "X"...
The first line of the input contains integer *t* (1<=≤<=*t*<=≤<=100). This value shows the number of sets of test data in the input. Next follows the description of each of the *t* tests on a separate line. The description of each test is a string consisting of 12 characters, each character is either "X", or "O". The ...
For each test, print the answer to the test on a single line. The first number in the line must represent the number of distinct ways to choose the pair *a*,<=*b*. Next, print on this line the pairs in the format *a*x*b*. Print the pairs in the order of increasing first parameter (*a*). Separate the pairs in the line b...
[ "4\nOXXXOXOOXOOX\nOXOXOXOXOXOX\nXXXXXXXXXXXX\nOOOOOOOOOOOO\n" ]
[ "3 1x12 2x6 4x3\n4 1x12 2x6 3x4 6x2\n6 1x12 2x6 3x4 4x3 6x2 12x1\n0\n" ]
none
[ { "input": "4\nOXXXOXOOXOOX\nOXOXOXOXOXOX\nXXXXXXXXXXXX\nOOOOOOOOOOOO", "output": "3 1x12 2x6 4x3\n4 1x12 2x6 3x4 6x2\n6 1x12 2x6 3x4 4x3 6x2 12x1\n0" }, { "input": "2\nOOOOOOOOOOOO\nXXXXXXXXXXXX", "output": "0\n6 1x12 2x6 3x4 4x3 6x2 12x1" }, { "input": "13\nXXXXXXXXXXXX\nXXXXXXXXXXXX\n...
77
5,632,000
3
1,915
319
Psychos in a Line
[ "data structures", "implementation" ]
null
null
There are *n* psychos standing in a line. Each psycho is assigned a unique integer from 1 to *n*. At each step every psycho who has an id greater than the psycho to his right (if exists) kills his right neighbor in the line. Note that a psycho might kill and get killed at the same step. You're given the initial arran...
The first line of input contains integer *n* denoting the number of psychos, (1<=≤<=*n*<=≤<=105). In the second line there will be a list of *n* space separated distinct integers each in range 1 to *n*, inclusive — ids of the psychos in the line from left to right.
Print the number of steps, so that the line remains the same afterward.
[ "10\n10 9 7 8 6 5 3 4 2 1\n", "6\n1 2 3 4 5 6\n" ]
[ "2\n", "0\n" ]
In the first sample line of the psychos transforms as follows: [10 9 7 8 6 5 3 4 2 1]  →  [10 8 4]  →  [10]. So, there are two steps.
[ { "input": "10\n10 9 7 8 6 5 3 4 2 1", "output": "2" }, { "input": "6\n1 2 3 4 5 6", "output": "0" }, { "input": "6\n6 5 4 3 2 1", "output": "1" }, { "input": "10\n10 7 4 2 5 8 9 6 3 1", "output": "4" }, { "input": "15\n15 9 5 10 7 11 14 6 2 3 12 1 8 13 4", "o...
62
0
0
1,916
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
0
1,924
15
Laser
[ "math" ]
B. Laser
1
64
Petya is the most responsible worker in the Research Institute. So he was asked to make a very important experiment: to melt the chocolate bar with a new laser device. The device consists of a rectangular field of *n*<=×<=*m* cells and a robotic arm. Each cell of the field is a 1<=×<=1 square. The robotic arm has two l...
The first line contains one integer number *t* (1<=≤<=*t*<=≤<=10000) — the number of test sets. Each of the following *t* lines describes one test set. Each line contains integer numbers *n*, *m*, *x*1, *y*1, *x*2, *y*2, separated by a space (2<=≤<=*n*,<=*m*<=≤<=109, 1<=≤<=*x*1,<=*x*2<=≤<=*n*, 1<=≤<=*y*1,<=*y*2<=≤<=*m*...
Each of the *t* lines of the output should contain the answer to the corresponding input test set.
[ "2\n4 4 1 1 3 3\n4 3 1 1 2 2\n" ]
[ "8\n2\n" ]
none
[ { "input": "2\n4 4 1 1 3 3\n4 3 1 1 2 2", "output": "8\n2" }, { "input": "1\n2 2 1 2 2 1", "output": "2" }, { "input": "1\n2 2 1 2 2 1", "output": "2" }, { "input": "1\n3 3 3 2 1 1", "output": "5" }, { "input": "1\n3 4 1 1 1 2", "output": "0" }, { "inp...
310
0
3.845
1,933
394
Counting Sticks
[ "brute force", "implementation" ]
null
null
When new students come to the Specialized Educational and Scientific Centre (SESC) they need to start many things from the beginning. Sometimes the teachers say (not always unfairly) that we cannot even count. So our teachers decided to teach us arithmetics from the start. And what is the best way to teach students add...
The single line contains the initial expression. It is guaranteed that the expression looks like *A*<=+<=*B*<==<=*C*, where 1<=≤<=*A*,<=*B*,<=*C*<=≤<=100.
If there isn't a way to shift the stick so the expression becomes correct, print on a single line "Impossible" (without the quotes). If there is a way, print the resulting expression. Follow the format of the output from the test samples. Don't print extra space characters. If there are multiple correct answers, print...
[ "||+|=|||||\n", "|||||+||=||\n", "|+|=||||||\n", "||||+||=||||||\n" ]
[ "|||+|=||||\n", "Impossible\n", "Impossible\n", "||||+||=||||||\n" ]
In the first sample we can shift stick from the third group of sticks to the first one. In the second sample we cannot shift vertical stick from + sign to the second group of sticks. So we cannot make a - sign. There is no answer in the third sample because we cannot remove sticks from the expression. In the forth s...
[ { "input": "||+|=|||||", "output": "|||+|=||||" }, { "input": "|||||+||=||", "output": "Impossible" }, { "input": "|+|=||||||", "output": "Impossible" }, { "input": "||||+||=||||||", "output": "||||+||=||||||" }, { "input": "||||||||||||+|||||||||||=||||||||||||||...
108
0
0
1,936
981
Businessmen Problems
[ "sortings" ]
null
null
Two famous competing companies ChemForces and TopChemist decided to show their sets of recently discovered chemical elements on an exhibition. However they know that no element should be present in the sets of both companies. In order to avoid this representatives of both companies decided to make an agreement on the ...
The first line contains a single integer $n$ ($1 \leq n \leq 10^5$)  — the number of elements discovered by ChemForces. The $i$-th of the next $n$ lines contains two integers $a_i$ and $x_i$ ($1 \leq a_i \leq 10^9$, $1 \leq x_i \leq 10^9$)  — the index of the $i$-th element and the income of its usage on the exhibitio...
Print the maximum total income you can obtain by choosing the sets for both companies in such a way that no element is presented in both sets.
[ "3\n1 2\n7 2\n3 10\n4\n1 4\n2 4\n3 4\n4 4\n", "1\n1000000000 239\n3\n14 15\n92 65\n35 89\n" ]
[ "24\n", "408\n" ]
In the first example ChemForces can choose the set ($3, 7$), while TopChemist can choose ($1, 2, 4$). This way the total income is $(10 + 2) + (4 + 4 + 4) = 24$. In the second example ChemForces can choose the only element $10^9$, while TopChemist can choose ($14, 92, 35$). This way the total income is $(239) + (15 + ...
[ { "input": "3\n1 2\n7 2\n3 10\n4\n1 4\n2 4\n3 4\n4 4", "output": "24" }, { "input": "1\n1000000000 239\n3\n14 15\n92 65\n35 89", "output": "408" }, { "input": "10\n598654597 488228616\n544064902 21923894\n329635457 980089248\n988262691 654502493\n967529230 543358150\n835120075 128123793\...
61
0
-1
1,937
519
A and B and Team Training
[ "greedy", "implementation", "math", "number theory" ]
null
null
A and B are preparing themselves for programming contests. An important part of preparing for a competition is sharing programming knowledge from the experienced members to those who are just beginning to deal with the contests. Therefore, during the next team training A decided to make teams so that newbies are solvi...
The first line contains two integers *n* and *m* (0<=≤<=*n*,<=*m*<=≤<=5·105) — the number of experienced participants and newbies that are present at the training session.
Print the maximum number of teams that can be formed.
[ "2 6\n", "4 5\n" ]
[ "2\n", "3\n" ]
Let's represent the experienced players as XP and newbies as NB. In the first test the teams look as follows: (XP, NB, NB), (XP, NB, NB). In the second test sample the teams look as follows: (XP, NB, NB), (XP, NB, NB), (XP, XP, NB).
[ { "input": "2 6", "output": "2" }, { "input": "4 5", "output": "3" }, { "input": "1 1", "output": "0" }, { "input": "3 3", "output": "2" }, { "input": "500000 500000", "output": "333333" }, { "input": "70 100", "output": "56" }, { "input": ...
109
0
3
1,939
567
President and Roads
[ "dfs and similar", "graphs", "hashing", "shortest paths" ]
null
null
Berland has *n* cities, the capital is located in city *s*, and the historic home town of the President is in city *t* (*s*<=≠<=*t*). The cities are connected by one-way roads, the travel time for each of the road is a positive integer. Once a year the President visited his historic home town *t*, for which his motorc...
The first lines contain four integers *n*, *m*, *s* and *t* (2<=≤<=*n*<=≤<=105; 1<=≤<=*m*<=≤<=105; 1<=≤<=*s*,<=*t*<=≤<=*n*) — the number of cities and roads in Berland, the numbers of the capital and of the Presidents' home town (*s*<=≠<=*t*). Next *m* lines contain the roads. Each road is given as a group of three in...
Print *m* lines. The *i*-th line should contain information about the *i*-th road (the roads are numbered in the order of appearance in the input). If the president will definitely ride along it during his travels, the line must contain a single word "YES" (without the quotes). Otherwise, if the *i*-th road can be re...
[ "6 7 1 6\n1 2 2\n1 3 10\n2 3 7\n2 4 8\n3 5 3\n4 5 2\n5 6 1\n", "3 3 1 3\n1 2 10\n2 3 10\n1 3 100\n", "2 2 1 2\n1 2 1\n1 2 2\n" ]
[ "YES\nCAN 2\nCAN 1\nCAN 1\nCAN 1\nCAN 1\nYES\n", "YES\nYES\nCAN 81\n", "YES\nNO\n" ]
The cost of repairing the road is the difference between the time needed to ride along it before and after the repairing. In the first sample president initially may choose one of the two following ways for a ride: 1 → 2 → 4 → 5 → 6 or 1 → 2 → 3 → 5 → 6.
[ { "input": "6 7 1 6\n1 2 2\n1 3 10\n2 3 7\n2 4 8\n3 5 3\n4 5 2\n5 6 1", "output": "YES\nCAN 2\nCAN 1\nCAN 1\nCAN 1\nCAN 1\nYES" }, { "input": "3 3 1 3\n1 2 10\n2 3 10\n1 3 100", "output": "YES\nYES\nCAN 81" }, { "input": "2 2 1 2\n1 2 1\n1 2 2", "output": "YES\nNO" }, { "inpu...
46
0
0
1,950
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...
62
2,867,200
-1
1,955
983
Finite or not?
[ "implementation", "math" ]
null
null
You are given several queries. Each query consists of three integers $p$, $q$ and $b$. You need to answer whether the result of $p/q$ in notation with base $b$ is a finite fraction. A fraction in notation with base $b$ is finite if it contains finite number of numerals after the decimal point. It is also possible that...
The first line contains a single integer $n$ ($1 \le n \le 10^5$) — the number of queries. Next $n$ lines contain queries, one per line. Each line contains three integers $p$, $q$, and $b$ ($0 \le p \le 10^{18}$, $1 \le q \le 10^{18}$, $2 \le b \le 10^{18}$). All numbers are given in notation with base $10$.
For each question, in a separate line, print Finite if the fraction is finite and Infinite otherwise.
[ "2\n6 12 10\n4 3 10\n", "4\n1 1 2\n9 36 2\n4 12 3\n3 5 4\n" ]
[ "Finite\nInfinite\n", "Finite\nFinite\nFinite\nInfinite\n" ]
$\frac{6}{12} = \frac{1}{2} = 0,5_{10}$ $\frac{4}{3} = 1,(3)_{10}$ $\frac{9}{36} = \frac{1}{4} = 0,01_2$ $\frac{4}{12} = \frac{1}{3} = 0,1_3$
[ { "input": "2\n6 12 10\n4 3 10", "output": "Finite\nInfinite" }, { "input": "4\n1 1 2\n9 36 2\n4 12 3\n3 5 4", "output": "Finite\nFinite\nFinite\nInfinite" }, { "input": "10\n10 5 3\n1 7 10\n7 5 7\n4 4 9\n6 5 2\n6 7 5\n9 9 7\n7 5 5\n6 6 4\n10 8 2", "output": "Finite\nInfinite\nInfini...
0
0
-1
1,961
776
A Serial Killer
[ "brute force", "implementation", "strings" ]
null
null
Our beloved detective, Sherlock is currently trying to catch a serial killer who kills a person each day. Using his powers of deduction, he came to know that the killer has a strategy for selecting his next victim. The killer starts with two potential victims on his first day, selects one of these two, kills selected ...
First line of input contains two names (length of each of them doesn't exceed 10), the two initials potential victims. Next line contains integer *n* (1<=≤<=*n*<=≤<=1000), the number of days. Next *n* lines contains two names (length of each of them doesn't exceed 10), first being the person murdered on this day and t...
Output *n*<=+<=1 lines, the *i*-th line should contain the two persons from which the killer selects for the *i*-th murder. The (*n*<=+<=1)-th line should contain the two persons from which the next victim is selected. In each line, the two names can be printed in any order.
[ "ross rachel\n4\nross joey\nrachel phoebe\nphoebe monica\nmonica chandler\n", "icm codeforces\n1\ncodeforces technex\n" ]
[ "ross rachel\njoey rachel\njoey phoebe\njoey monica\njoey chandler\n", "icm codeforces\nicm technex\n" ]
In first example, the killer starts with ross and rachel. - After day 1, ross is killed and joey appears. - After day 2, rachel is killed and phoebe appears. - After day 3, phoebe is killed and monica appears. - After day 4, monica is killed and chandler appears.
[ { "input": "ross rachel\n4\nross joey\nrachel phoebe\nphoebe monica\nmonica chandler", "output": "ross rachel\njoey rachel\njoey phoebe\njoey monica\njoey chandler" }, { "input": "icm codeforces\n1\ncodeforces technex", "output": "icm codeforces\nicm technex" }, { "input": "a b\n3\na c\n...
124
6,963,200
3
1,965
770
Maximize Sum of Digits
[ "*special", "implementation", "math" ]
null
null
Anton has the integer *x*. He is interested what positive integer, which doesn't exceed *x*, has the maximum sum of digits. Your task is to help Anton and to find the integer that interests him. If there are several such integers, determine the biggest of them.
The first line contains the positive integer *x* (1<=≤<=*x*<=≤<=1018) — the integer which Anton has.
Print the positive integer which doesn't exceed *x* and has the maximum sum of digits. If there are several such integers, print the biggest of them. Printed integer must not contain leading zeros.
[ "100\n", "48\n", "521\n" ]
[ "99\n", "48\n", "499\n" ]
none
[ { "input": "100", "output": "99" }, { "input": "48", "output": "48" }, { "input": "521", "output": "499" }, { "input": "1", "output": "1" }, { "input": "2", "output": "2" }, { "input": "3", "output": "3" }, { "input": "39188", "output":...
77
2,764,800
-1
1,966
538
Tourist's Notes
[ "binary search", "brute force", "greedy", "implementation", "math" ]
null
null
A tourist hiked along the mountain range. The hike lasted for *n* days, during each day the tourist noted height above the sea level. On the *i*-th day height was equal to some integer *h**i*. The tourist pick smooth enough route for his hike, meaning that the between any two consecutive days height changes by at most ...
The first line contains two space-separated numbers, *n* and *m* (1<=≤<=*n*<=≤<=108, 1<=≤<=*m*<=≤<=105) — the number of days of the hike and the number of notes left in the journal. Next *m* lines contain two space-separated integers *d**i* and *h**d**i* (1<=≤<=*d**i*<=≤<=*n*, 0<=≤<=*h**d**i*<=≤<=108) — the number of ...
If the notes aren't contradictory, print a single integer — the maximum possible height value throughout the whole route. If the notes do not correspond to any set of heights, print a single word 'IMPOSSIBLE' (without the quotes).
[ "8 2\n2 0\n7 0\n", "8 3\n2 0\n7 0\n8 3\n" ]
[ "2\n", "IMPOSSIBLE\n" ]
For the first sample, an example of a correct height sequence with a maximum of 2: (0, 0, 1, 2, 1, 1, 0, 1). In the second sample the inequality between *h*<sub class="lower-index">7</sub> and *h*<sub class="lower-index">8</sub> does not hold, thus the information is inconsistent.
[ { "input": "8 2\n2 0\n7 0", "output": "2" }, { "input": "8 3\n2 0\n7 0\n8 3", "output": "IMPOSSIBLE" }, { "input": "10 10\n1 0\n2 0\n3 0\n4 0\n5 1\n6 2\n7 3\n8 2\n9 3\n10 4", "output": "4" }, { "input": "50 10\n1 42\n7 36\n16 40\n21 40\n26 39\n30 41\n32 41\n36 40\n44 37\n50 4...
62
5,734,400
0
1,969
985
Switches and Lamps
[ "implementation" ]
null
null
You are given *n* switches and *m* lamps. The *i*-th switch turns on some subset of the lamps. This information is given as the matrix *a* consisting of *n* rows and *m* columns where *a**i*,<=*j*<==<=1 if the *i*-th switch turns on the *j*-th lamp and *a**i*,<=*j*<==<=0 if the *i*-th switch is not connected to the *j*...
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=2000) — the number of the switches and the number of the lamps. The following *n* lines contain *m* characters each. The character *a**i*,<=*j* is equal to '1' if the *i*-th switch turns on the *j*-th lamp and '0' otherwise. It is guar...
Print "YES" if there is a switch that if you will ignore it and press all the other *n*<=-<=1 switches then all *m* lamps will be turned on. Print "NO" if there is no such switch.
[ "4 5\n10101\n01000\n00111\n10000\n", "4 5\n10100\n01000\n00110\n00101\n" ]
[ "YES\n", "NO\n" ]
none
[ { "input": "4 5\n10101\n01000\n00111\n10000", "output": "YES" }, { "input": "4 5\n10100\n01000\n00110\n00101", "output": "NO" }, { "input": "1 5\n11111", "output": "NO" }, { "input": "10 1\n1\n0\n0\n0\n0\n0\n0\n0\n0\n1", "output": "YES" }, { "input": "1 1\n1", ...
109
22,323,200
-1
1,971
463
Gargari and Bishops
[ "greedy", "hashing", "implementation" ]
null
null
Gargari is jealous that his friend Caisa won the game from the previous problem. He wants to prove that he is a genius. He has a *n*<=×<=*n* chessboard. Each cell of the chessboard has a number written on it. Gargari wants to place two bishops on the chessboard in such a way that there is no cell that is attacked by b...
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=2000). Each of the next *n* lines contains *n* integers *a**ij* (0<=≤<=*a**ij*<=≤<=109) — description of the chessboard.
On the first line print the maximal number of dollars Gargari will get. On the next line print four integers: *x*1,<=*y*1,<=*x*2,<=*y*2 (1<=≤<=*x*1,<=*y*1,<=*x*2,<=*y*2<=≤<=*n*), where *x**i* is the number of the row where the *i*-th bishop should be placed, *y**i* is the number of the column where the *i*-th bishop sh...
[ "4\n1 1 1 1\n2 1 1 0\n1 1 1 0\n1 0 0 1\n" ]
[ "12\n2 2 3 2\n" ]
none
[ { "input": "4\n1 1 1 1\n2 1 1 0\n1 1 1 0\n1 0 0 1", "output": "12\n2 2 3 2" }, { "input": "10\n48 43 75 80 32 30 65 31 18 91\n99 5 12 43 26 90 54 91 4 88\n8 87 68 95 73 37 53 46 53 90\n50 1 85 24 32 16 5 48 98 74\n38 49 78 2 91 3 43 96 93 46\n35 100 84 2 94 56 90 98 54 43\n88 3 95 72 78 78 87 82 25 ...
1,590
74,649,600
0
1,972
987
High School: Become Human
[ "math" ]
null
null
Year 2118. Androids are in mass production for decades now, and they do all the work for humans. But androids have to go to school to be able to solve creative tasks. Just like humans before. It turns out that high school struggles are not gone. If someone is not like others, he is bullied. Vasya-8800 is an economy-cl...
On the only line of input there are two integers $x$ and $y$ ($1 \le x, y \le 10^{9}$).
If $x^y &lt; y^x$, then print '&lt;' (without quotes). If $x^y &gt; y^x$, then print '&gt;' (without quotes). If $x^y = y^x$, then print '=' (without quotes).
[ "5 8\n", "10 3\n", "6 6\n" ]
[ "&gt;\n", "&lt;\n", "=\n" ]
In the first example $5^8 = 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 390625$, and $8^5 = 8 \cdot 8 \cdot 8 \cdot 8 \cdot 8 = 32768$. So you should print '&gt;'. In the second example $10^3 = 1000 &lt; 3^{10} = 59049$. In the third example $6^6 = 46656 = 6^6$.
[ { "input": "5 8", "output": ">" }, { "input": "10 3", "output": "<" }, { "input": "6 6", "output": "=" }, { "input": "14 1", "output": ">" }, { "input": "2 4", "output": "=" }, { "input": "987654321 123456987", "output": "<" }, { "input": "...
156
0
3
1,974
451
Sort the Array
[ "implementation", "sortings" ]
null
null
Being a programmer, you like arrays a lot. For your birthday, your friends have given you an array *a* consisting of *n* distinct integers. Unfortunately, the size of *a* is too small. You want a bigger array! Your friends agree to give you a bigger array, but only if you are able to answer the following question corr...
The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=105) — the size of array *a*. The second line contains *n* distinct space-separated integers: *a*[1],<=*a*[2],<=...,<=*a*[*n*] (1<=≤<=*a*[*i*]<=≤<=109).
Print "yes" or "no" (without quotes), depending on the answer. If your answer is "yes", then also print two space-separated integers denoting start and end (start must not be greater than end) indices of the segment to be reversed. If there are multiple ways of selecting these indices, print any of them.
[ "3\n3 2 1\n", "4\n2 1 3 4\n", "4\n3 1 2 4\n", "2\n1 2\n" ]
[ "yes\n1 3\n", "yes\n1 2\n", "no\n", "yes\n1 1\n" ]
Sample 1. You can reverse the entire array to get [1, 2, 3], which is sorted. Sample 3. No segment can be reversed such that the array will be sorted. Definitions A segment [*l*, *r*] of array *a* is the sequence *a*[*l*], *a*[*l* + 1], ..., *a*[*r*]. If you have an array *a* of size *n* and you reverse its segment...
[ { "input": "3\n3 2 1", "output": "yes\n1 3" }, { "input": "4\n2 1 3 4", "output": "yes\n1 2" }, { "input": "4\n3 1 2 4", "output": "no" }, { "input": "2\n1 2", "output": "yes\n1 1" }, { "input": "2\n58 4", "output": "yes\n1 2" }, { "input": "5\n69 37 2...
124
7,782,400
3
1,979
492
Vanya and Cubes
[ "implementation" ]
null
null
Vanya got *n* cubes. He decided to build a pyramid from them. Vanya wants to build the pyramid as follows: the top level of the pyramid must consist of 1 cube, the second level must consist of 1<=+<=2<==<=3 cubes, the third level must have 1<=+<=2<=+<=3<==<=6 cubes, and so on. Thus, the *i*-th level of the pyramid must...
The first line contains integer *n* (1<=≤<=*n*<=≤<=104) — the number of cubes given to Vanya.
Print the maximum possible height of the pyramid in the single line.
[ "1\n", "25\n" ]
[ "1\n", "4\n" ]
Illustration to the second sample:
[ { "input": "1", "output": "1" }, { "input": "25", "output": "4" }, { "input": "2", "output": "1" }, { "input": "4115", "output": "28" }, { "input": "9894", "output": "38" }, { "input": "7969", "output": "35" }, { "input": "6560", "outpu...
62
0
3
1,988
980
Posterized
[ "games", "greedy" ]
null
null
Professor Ibrahim has prepared the final homework for his algorithm’s class. He asked his students to implement the Posterization Image Filter. Their algorithm will be tested on an array of integers, where the $i$-th integer represents the color of the $i$-th pixel in the image. The image is in black and white, theref...
The first line of input contains two integers $n$ and $k$ ($1 \leq n \leq 10^5$, $1 \leq k \leq 256$), the number of pixels in the image, and the maximum size of a group, respectively. The second line contains $n$ integers $p_1, p_2, \dots, p_n$ ($0 \leq p_i \leq 255$), where $p_i$ is the color of the $i$-th pixel.
Print $n$ space-separated integers; the lexicographically smallest possible array that represents the image after applying the Posterization filter.
[ "4 3\n2 14 3 4\n", "5 2\n0 2 1 255 254\n" ]
[ "0 12 3 3\n", "0 1 1 254 254\n" ]
One possible way to group colors and assign keys for the first sample: Color $2$ belongs to the group $[0,2]$, with group key $0$. Color $14$ belongs to the group $[12,14]$, with group key $12$. Colors $3$ and $4$ belong to group $[3, 5]$, with group key $3$. Other groups won't affect the result so they are not lis...
[ { "input": "4 3\n2 14 3 4", "output": "0 12 3 3" }, { "input": "5 2\n0 2 1 255 254", "output": "0 1 1 254 254" }, { "input": "10 3\n112 184 161 156 118 231 191 128 91 229", "output": "110 182 159 154 116 229 189 126 89 229" }, { "input": "9 3\n174 149 118 124 166 146 219 233 ...
61
7,065,600
0
1,994
864
Polycarp and Letters
[ "brute force", "implementation", "strings" ]
null
null
Polycarp loves lowercase letters and dislikes uppercase ones. Once he got a string *s* consisting only of lowercase and uppercase Latin letters. Let *A* be a set of positions in the string. Let's call it pretty if following conditions are met: - letters on positions from *A* in the string are all distinct and lowerc...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=200) — length of string *s*. The second line contains a string *s* consisting of lowercase and uppercase Latin letters.
Print maximum number of elements in pretty set of positions for string *s*.
[ "11\naaaaBaabAbA\n", "12\nzACaAbbaazzC\n", "3\nABC\n" ]
[ "2\n", "3\n", "0\n" ]
In the first example the desired positions might be 6 and 8 or 7 and 8. Positions 6 and 7 contain letters 'a', position 8 contains letter 'b'. The pair of positions 1 and 8 is not suitable because there is an uppercase letter 'B' between these position. In the second example desired positions can be 7, 8 and 11. There...
[ { "input": "11\naaaaBaabAbA", "output": "2" }, { "input": "12\nzACaAbbaazzC", "output": "3" }, { "input": "3\nABC", "output": "0" }, { "input": "1\na", "output": "1" }, { "input": "2\naz", "output": "2" }, { "input": "200\nXbTJZqcbpYuZQEoUrbxlPXAPCtVLr...
124
6,656,000
3
1,996
977
Two-gram
[ "implementation", "strings" ]
null
null
Two-gram is an ordered pair (i.e. string of length two) of capital Latin letters. For example, "AZ", "AA", "ZA" — three distinct two-grams. You are given a string $s$ consisting of $n$ capital Latin letters. Your task is to find any two-gram contained in the given string as a substring (i.e. two consecutive characters...
The first line of the input contains integer number $n$ ($2 \le n \le 100$) — the length of string $s$. The second line of the input contains the string $s$ consisting of $n$ capital Latin letters.
Print the only line containing exactly two capital Latin letters — any two-gram contained in the given string $s$ as a substring (i.e. two consecutive characters of the string) maximal number of times.
[ "7\nABACABA\n", "5\nZZZAA\n" ]
[ "AB\n", "ZZ\n" ]
In the first example "BA" is also valid answer. In the second example the only two-gram "ZZ" can be printed because it contained in the string "ZZZAA" two times.
[ { "input": "7\nABACABA", "output": "AB" }, { "input": "5\nZZZAA", "output": "ZZ" }, { "input": "26\nQWERTYUIOPASDFGHJKLZXCVBNM", "output": "AS" }, { "input": "2\nQA", "output": "QA" }, { "input": "2\nWW", "output": "WW" }, { "input": "11\nGGRRAATTZZZ",...
46
28,774,400
0
1,997
930
Peculiar apple-tree
[ "dfs and similar", "graphs", "trees" ]
null
null
In Arcady's garden there grows a peculiar apple-tree that fruits one time per year. Its peculiarity can be explained in following way: there are *n* inflorescences, numbered from 1 to *n*. Inflorescence number 1 is situated near base of tree and any other inflorescence with number *i* (*i*<=&gt;<=1) is situated at the ...
First line of input contains single integer number *n* (2<=≤<=*n*<=≤<=100<=000)  — number of inflorescences. Second line of input contains sequence of *n*<=-<=1 integer numbers *p*2,<=*p*3,<=...,<=*p**n* (1<=≤<=*p**i*<=&lt;<=*i*), where *p**i* is number of inflorescence into which the apple from *i*-th inflorescence r...
Single line of output should contain one integer number: amount of apples that Arcady will be able to collect from first inflorescence during one harvest.
[ "3\n1 1\n", "5\n1 2 2 2\n", "18\n1 1 1 4 4 3 2 2 2 10 8 9 9 9 10 10 4\n" ]
[ "1\n", "3\n", "4\n" ]
In first example Arcady will be able to collect only one apple, initially situated in 1st inflorescence. In next second apples from 2nd and 3rd inflorescences will roll down and annihilate, and Arcady won't be able to collect them. In the second example Arcady will be able to collect 3 apples. First one is one initial...
[ { "input": "3\n1 1", "output": "1" }, { "input": "5\n1 2 2 2", "output": "3" }, { "input": "18\n1 1 1 4 4 3 2 2 2 10 8 9 9 9 10 10 4", "output": "4" }, { "input": "2\n1", "output": "2" }, { "input": "3\n1 2", "output": "3" }, { "input": "20\n1 1 1 1 1 ...
451
47,001,600
-1
1,999
250
Movie Critics
[ "greedy" ]
null
null
A film festival is coming up in the city N. The festival will last for exactly *n* days and each day will have a premiere of exactly one film. Each film has a genre — an integer from 1 to *k*. On the *i*-th day the festival will show a movie of genre *a**i*. We know that a movie of each of *k* genres occurs in the fes...
The first line of the input contains two integers *n* and *k* (2<=≤<=*k*<=≤<=*n*<=≤<=105), where *n* is the number of movies and *k* is the number of genres. The second line of the input contains a sequence of *n* positive integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=*k*), where *a**i* is the genre of the *i*-th...
Print a single number — the number of the genre (from 1 to *k*) of the excluded films. If there are multiple answers, print the genre with the minimum number.
[ "10 3\n1 1 2 3 2 3 3 1 1 3\n", "7 3\n3 1 3 2 3 1 2\n" ]
[ "3", "1" ]
In the first sample if we exclude the movies of the 1st genre, the genres 2, 3, 2, 3, 3, 3 remain, that is 3 stresses; if we exclude the movies of the 2nd genre, the genres 1, 1, 3, 3, 3, 1, 1, 3 remain, that is 3 stresses; if we exclude the movies of the 3rd genre the genres 1, 1, 2, 2, 1, 1 remain, that is 2 stresses...
[ { "input": "10 3\n1 1 2 3 2 3 3 1 1 3", "output": "3" }, { "input": "7 3\n3 1 3 2 3 1 2", "output": "1" }, { "input": "2 2\n1 2", "output": "1" }, { "input": "10 2\n1 2 2 1 1 2 1 1 2 2", "output": "1" }, { "input": "10 10\n5 7 8 2 4 10 1 3 9 6", "output": "1" ...
560
7,372,800
3
2,002
6
Alice, Bob and Chocolate
[ "greedy", "two pointers" ]
C. Alice, Bob and Chocolate
2
64
Alice and Bob like games. And now they are ready to start a new game. They have placed *n* chocolate bars in a line. Alice starts to eat chocolate bars one by one from left to right, and Bob — from right to left. For each chocololate bar the time, needed for the player to consume it, is known (Alice and Bob eat them wi...
The first line contains one integer *n* (1<=≤<=*n*<=≤<=105) — the amount of bars on the table. The second line contains a sequence *t*1,<=*t*2,<=...,<=*t**n* (1<=≤<=*t**i*<=≤<=1000), where *t**i* is the time (in seconds) needed to consume the *i*-th bar (in the order from left to right).
Print two numbers *a* and *b*, where *a* is the amount of bars consumed by Alice, and *b* is the amount of bars consumed by Bob.
[ "5\n2 9 8 2 7\n" ]
[ "2 3\n" ]
none
[ { "input": "5\n2 9 8 2 7", "output": "2 3" }, { "input": "1\n1", "output": "1 0" }, { "input": "2\n1 1", "output": "1 1" }, { "input": "3\n1 1 1", "output": "2 1" }, { "input": "4\n1 1 1 1", "output": "2 2" }, { "input": "1\n6", "output": "1 0" }...
62
0
0
2,003
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" }, ...
60
102,400
-1
2,004
115
Party
[ "dfs and similar", "graphs", "trees" ]
null
null
A company has *n* employees numbered from 1 to *n*. Each employee either has no immediate manager or exactly one immediate manager, who is another employee with a different number. An employee *A* is said to be the superior of another employee *B* if at least one of the following is true: - Employee *A* is the immedi...
The first line contains integer *n* (1<=≤<=*n*<=≤<=2000) — the number of employees. The next *n* lines contain the integers *p**i* (1<=≤<=*p**i*<=≤<=*n* or *p**i*<==<=-1). Every *p**i* denotes the immediate manager for the *i*-th employee. If *p**i* is -1, that means that the *i*-th employee does not have an immediate...
Print a single integer denoting the minimum number of groups that will be formed in the party.
[ "5\n-1\n1\n2\n1\n-1\n" ]
[ "3\n" ]
For the first example, three groups are sufficient, for example: - Employee 1 - Employees 2 and 4 - Employees 3 and 5
[ { "input": "5\n-1\n1\n2\n1\n-1", "output": "3" }, { "input": "4\n-1\n1\n2\n3", "output": "4" }, { "input": "12\n-1\n1\n2\n3\n-1\n5\n6\n7\n-1\n9\n10\n11", "output": "4" }, { "input": "6\n-1\n-1\n2\n3\n1\n1", "output": "3" }, { "input": "3\n-1\n1\n1", "output": ...
248
6,656,000
3
2,010
989
A Tide of Riverscape
[ "constructive algorithms", "strings" ]
null
null
"Time," Mino thinks aloud. "What?" "Time and tide wait for no man," explains Mino. "My name, taken from the river, always reminds me of this." "And what are you recording?" "You see it, tide. Everything has its own period, and I think I've figured out this one," says Mino with confidence. Doubtfully, Kanno peeks a...
The first line contains two space-separated integers $n$ and $p$ ($1 \leq p \leq n \leq 2000$) — the length of the given string and the supposed period, respectively. The second line contains a string $s$ of $n$ characters — Mino's records. $s$ only contains characters '0', '1' and '.', and contains at least one '.' c...
Output one line — if it's possible that $p$ is not a period of the resulting string, output any one of such strings; otherwise output "No" (without quotes, you can print letters in any case (upper or lower)).
[ "10 7\n1.0.1.0.1.\n", "10 6\n1.0.1.1000\n", "10 9\n1........1\n" ]
[ "1000100010\n", "1001101000\n", "No\n" ]
In the first example, $7$ is not a period of the resulting string because the $1$-st and $8$-th characters of it are different. In the second example, $6$ is not a period of the resulting string because the $4$-th and $10$-th characters of it are different. In the third example, $9$ is always a period because the onl...
[ { "input": "10 7\n1.0.1.0.1.", "output": "1000100010" }, { "input": "10 6\n1.0.1.1000", "output": "1001101000" }, { "input": "10 9\n1........1", "output": "No" }, { "input": "1 1\n.", "output": "No" }, { "input": "5 1\n0...1", "output": "00001" }, { "i...
155
2,969,600
3
2,013