message stringlengths 2 16.2k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 575 109k | cluster float64 16 16 | __index_level_0__ int64 1.15k 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
Let us consider a grid of squares with 10^9 rows and N columns. Let (i, j) be the square at the i-th column (1 \leq i \leq N) from the left and j-th row (1 \leq j \leq 10^9) from the bottom.
Snuke has cut out some part of the grid so that, for each i = 1, 2, ..., N, the bottom-most h_i squares are remaining in the i-th column from the left. Now, he will paint the remaining squares in red and blue. Find the number of the ways to paint the squares so that the following condition is satisfied:
* Every remaining square is painted either red or blue.
* For all 1 \leq i \leq N-1 and 1 \leq j \leq min(h_i, h_{i+1})-1, there are exactly two squares painted red and two squares painted blue among the following four squares: (i, j), (i, j+1), (i+1, j) and (i+1, j+1).
Since the number of ways can be extremely large, print the count modulo 10^9+7.
Constraints
* 1 \leq N \leq 100
* 1 \leq h_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
h_1 h_2 ... h_N
Output
Print the number of the ways to paint the squares, modulo 10^9+7.
Examples
Input
9
2 3 5 4 1 2 4 2 1
Output
12800
Input
2
2 2
Output
6
Input
5
2 1 2 1 2
Output
256
Input
9
27 18 28 18 28 45 90 45 23
Output
844733013 | instruction | 0 | 29,830 | 16 | 59,660 |
"Correct Solution:
```
from collections import defaultdict, deque, Counter
from heapq import heappush, heappop, heapify
import math
import bisect
import random
from itertools import permutations, accumulate, combinations, product
import sys
import string
from bisect import bisect_left, bisect_right
from math import factorial, ceil, floor
from operator import mul
from functools import reduce
sys.setrecursionlimit(2147483647)
INF = 10 ** 13
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS(): return sys.stdin.buffer.readline().rstrip().decode('utf-8').split()
def S(): return sys.stdin.buffer.readline().rstrip().decode('utf-8')
def IR(n): return [I() for i in range(n)]
def LIR(n): return [LI() for i in range(n)]
def SR(n): return [S() for i in range(n)]
def LSR(n): return [LS() for i in range(n)]
def SRL(n): return [list(S()) for i in range(n)]
def MSRL(n): return [[int(j) for j in list(S())] for i in range(n)]
mod = 10 ** 9 + 7
n = I()
H = LI() + [1]
dp = [1] * (n + 1)
for k in range(n):
new_dp = [0] * (n + 1)
for i in range(n + 1):
if H[i] <= H[k]:
if H[k - 1] <= H[i]:
new_dp[i] = dp[i] * 2 * pow(2, H[k] - H[i], mod)
elif H[k - 1] > H[k]:
new_dp[i] = dp[i] - dp[k] + dp[k] * 2
else:
new_dp[i] = (dp[i] - dp[k - 1] + dp[k - 1] * 2) * pow(2, H[k] - H[k - 1], mod)
else:
new_dp[i] = dp[k] * 2
new_dp[i] %= mod
dp = new_dp
print(dp[-1])
``` | output | 1 | 29,830 | 16 | 59,661 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us consider a grid of squares with 10^9 rows and N columns. Let (i, j) be the square at the i-th column (1 \leq i \leq N) from the left and j-th row (1 \leq j \leq 10^9) from the bottom.
Snuke has cut out some part of the grid so that, for each i = 1, 2, ..., N, the bottom-most h_i squares are remaining in the i-th column from the left. Now, he will paint the remaining squares in red and blue. Find the number of the ways to paint the squares so that the following condition is satisfied:
* Every remaining square is painted either red or blue.
* For all 1 \leq i \leq N-1 and 1 \leq j \leq min(h_i, h_{i+1})-1, there are exactly two squares painted red and two squares painted blue among the following four squares: (i, j), (i, j+1), (i+1, j) and (i+1, j+1).
Since the number of ways can be extremely large, print the count modulo 10^9+7.
Constraints
* 1 \leq N \leq 100
* 1 \leq h_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
h_1 h_2 ... h_N
Output
Print the number of the ways to paint the squares, modulo 10^9+7.
Examples
Input
9
2 3 5 4 1 2 4 2 1
Output
12800
Input
2
2 2
Output
6
Input
5
2 1 2 1 2
Output
256
Input
9
27 18 28 18 28 45 90 45 23
Output
844733013
Submitted Solution:
```
import sys
readline = sys.stdin.readline
MOD = 10**9+7
def compress(L):
L2 = list(set(L))
L2.sort()
C = {v : k for k, v in enumerate(L2)}
return L2, C
N = int(readline())
height = [0]
H = list(map(int, readline().split()))
height.extend(H)
orih, C = compress(height)
L = len(orih)
dp = [0]*L
dp[0] = 1
phidx = 0
for i in range(1, N+1):
hidx = C[H[i-1]]
dp2 = [0]*L
if phidx >= hidx:
for h in range(hidx+1):
dp2[h] = (dp[hidx]+dp[h])%MOD
else:
if phidx == 0:
dp2[0] = pow(2, orih[hidx])
for h in range(1, hidx+1):
dp2[h] = pow(2, orih[hidx]-orih[h]+1, MOD)
else:
for h in range(hidx+1):
dp2[h] = (dp[phidx] + dp[min(phidx, h)])*pow(2, orih[hidx]-orih[max(h, phidx)])%MOD
dp = dp2[:]
phidx = hidx
#print(dp)
print(dp[0])
``` | instruction | 0 | 29,831 | 16 | 59,662 |
No | output | 1 | 29,831 | 16 | 59,663 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us consider a grid of squares with 10^9 rows and N columns. Let (i, j) be the square at the i-th column (1 \leq i \leq N) from the left and j-th row (1 \leq j \leq 10^9) from the bottom.
Snuke has cut out some part of the grid so that, for each i = 1, 2, ..., N, the bottom-most h_i squares are remaining in the i-th column from the left. Now, he will paint the remaining squares in red and blue. Find the number of the ways to paint the squares so that the following condition is satisfied:
* Every remaining square is painted either red or blue.
* For all 1 \leq i \leq N-1 and 1 \leq j \leq min(h_i, h_{i+1})-1, there are exactly two squares painted red and two squares painted blue among the following four squares: (i, j), (i, j+1), (i+1, j) and (i+1, j+1).
Since the number of ways can be extremely large, print the count modulo 10^9+7.
Constraints
* 1 \leq N \leq 100
* 1 \leq h_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
h_1 h_2 ... h_N
Output
Print the number of the ways to paint the squares, modulo 10^9+7.
Examples
Input
9
2 3 5 4 1 2 4 2 1
Output
12800
Input
2
2 2
Output
6
Input
5
2 1 2 1 2
Output
256
Input
9
27 18 28 18 28 45 90 45 23
Output
844733013
Submitted Solution:
```
mod=10**9+7
n=int(input())
H=list(map(int,input().split()))
def solve(h):
if not h:
return 1
elif len(h)==1:
return pow(2,h[0],mod)
N=len(h)
a=[h[i] for i in range(N)]
a=list(set(a))
a.sort()
comp={i:e+1 for e,i in enumerate(a)}
data={comp[e]:e for e in comp.keys()}
data[0]=0
data[0]=1
#print(comp)
dp=[[0 for i in range(len(a)+1)] for j in range(N)]
i=0
if h[i+1]>=h[i]:
id=comp[h[i]]
dp[i][id]=2
dp[i][id+1]=2
for j in range(0,id):
dp[i][j]=1
else:
id=comp[h[i+1]]
for j in range(0,id):
dp[i][j]=pow(2,h[i]-h[i+1],mod)
dp[i][id]=2*(pow(2,h[i]-h[i+1],mod)-1)
dp[i][id]%=mod
id2=comp[h[i]]
dp[i][id]+=2
dp[i][id]%=mod
for i in range(1,N-1):
if h[i+1]>=h[i]:
id=comp[h[i]]
id2=comp[h[i+1]]
for j in range(id,id2+1):
dp[i][j]=(2*dp[i-1][id])%mod
for j in range(0,id):
dp[i][j]=dp[i-1][j]
else:
id=comp[h[i+1]]
id2=comp[h[i]]
for j in range(0,id):
dp[i][j]=(pow(2,h[i]-h[i+1],mod)*dp[i-1][j])%mod
for j in range(id,id2):
low=data[j]
up=data[j+1]-1
dp[i][id]+=dp[i-1][j]*pow(2,h[i]-up,mod)*(pow(2,up-low+1,mod)-1)
dp[i][id]%=mod
dp[i][id]+=2*dp[i-1][id2]
dp[i][id]%=mod
ans=0
id=comp[h[-1]]
for i in range(0,id):
low=data[i]
up=data[i+1]-1
ans+=dp[N-2][i]*pow(2,h[-1]-up,mod)*(pow(2,up-low+1,mod)-1)
ans%=mod
ans+=2*dp[N-2][id]
ans%=mod
return ans
ans=pow(2,H.count(1),mod)
check=[i for i in range(n) if H[i]==1]
check=[-1]+check+[n]
for i in range(len(check)-1):
l,r=check[i],check[i+1]
ans*=solve(H[l+1:r])
ans%=mod
print(ans)
``` | instruction | 0 | 29,832 | 16 | 59,664 |
No | output | 1 | 29,832 | 16 | 59,665 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us consider a grid of squares with 10^9 rows and N columns. Let (i, j) be the square at the i-th column (1 \leq i \leq N) from the left and j-th row (1 \leq j \leq 10^9) from the bottom.
Snuke has cut out some part of the grid so that, for each i = 1, 2, ..., N, the bottom-most h_i squares are remaining in the i-th column from the left. Now, he will paint the remaining squares in red and blue. Find the number of the ways to paint the squares so that the following condition is satisfied:
* Every remaining square is painted either red or blue.
* For all 1 \leq i \leq N-1 and 1 \leq j \leq min(h_i, h_{i+1})-1, there are exactly two squares painted red and two squares painted blue among the following four squares: (i, j), (i, j+1), (i+1, j) and (i+1, j+1).
Since the number of ways can be extremely large, print the count modulo 10^9+7.
Constraints
* 1 \leq N \leq 100
* 1 \leq h_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
h_1 h_2 ... h_N
Output
Print the number of the ways to paint the squares, modulo 10^9+7.
Examples
Input
9
2 3 5 4 1 2 4 2 1
Output
12800
Input
2
2 2
Output
6
Input
5
2 1 2 1 2
Output
256
Input
9
27 18 28 18 28 45 90 45 23
Output
844733013
Submitted Solution:
```
from collections import defaultdict, deque, Counter
from heapq import heappush, heappop, heapify
import math
import bisect
import random
from itertools import permutations, accumulate, combinations, product
import sys
import string
from bisect import bisect_left, bisect_right
from math import factorial, ceil, floor
from operator import mul
from functools import reduce
sys.setrecursionlimit(2147483647)
INF = 10 ** 13
def LI(): return list(map(int, sys.stdin.buffer.readline().split()))
def I(): return int(sys.stdin.buffer.readline())
def LS(): return sys.stdin.buffer.readline().rstrip().decode('utf-8').split()
def S(): return sys.stdin.buffer.readline().rstrip().decode('utf-8')
def IR(n): return [I() for i in range(n)]
def LIR(n): return [LI() for i in range(n)]
def SR(n): return [S() for i in range(n)]
def LSR(n): return [LS() for i in range(n)]
def SRL(n): return [list(S()) for i in range(n)]
def MSRL(n): return [[int(j) for j in list(S())] for i in range(n)]
mod = 10 ** 9 + 7
n = I()
H = LI() + [1]
A = [0] * n
r = 1
ret = 1
ans = 1
dd = 1
for k in range(n - 1, -1, -1):
if H[k - 1] == 1 and H[k + 1] == 1:
ans = ans * pow(2, H[k], mod) % mod
elif H[k] == 1:
r = 1
ret = 1
ans = ans * 2 % mod
elif H[k - 1] == 1:
d = min(H[k], H[k + 1])
ret = ret * 2 + r * (pow(2, d, mod) - 2)
ans = ans * ret % mod
ans = ans * pow(2, max(H[k] - max(H[k - 1], H[k + 1]), 0), mod)
else:
if H[k] > H[k - 1] and H[k + 1] > H[k - 1]:
if H[k] > H[k + 1]:
d = H[k + 1] - H[k - 1]
else:
d = H[k] - H[k - 1]
ret = ret + r * (pow(2, d, mod) - 1)
r = r * pow(2, d, mod) % mod
ret = ret * 2 % mod
ans = ans * pow(2, max(H[k] - max(H[k - 1], H[k + 1]), 0), mod)
print(ans % mod)
# print(acc)
# print(c)
# 40, 96 , 4
``` | instruction | 0 | 29,833 | 16 | 59,666 |
No | output | 1 | 29,833 | 16 | 59,667 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us consider a grid of squares with 10^9 rows and N columns. Let (i, j) be the square at the i-th column (1 \leq i \leq N) from the left and j-th row (1 \leq j \leq 10^9) from the bottom.
Snuke has cut out some part of the grid so that, for each i = 1, 2, ..., N, the bottom-most h_i squares are remaining in the i-th column from the left. Now, he will paint the remaining squares in red and blue. Find the number of the ways to paint the squares so that the following condition is satisfied:
* Every remaining square is painted either red or blue.
* For all 1 \leq i \leq N-1 and 1 \leq j \leq min(h_i, h_{i+1})-1, there are exactly two squares painted red and two squares painted blue among the following four squares: (i, j), (i, j+1), (i+1, j) and (i+1, j+1).
Since the number of ways can be extremely large, print the count modulo 10^9+7.
Constraints
* 1 \leq N \leq 100
* 1 \leq h_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
h_1 h_2 ... h_N
Output
Print the number of the ways to paint the squares, modulo 10^9+7.
Examples
Input
9
2 3 5 4 1 2 4 2 1
Output
12800
Input
2
2 2
Output
6
Input
5
2 1 2 1 2
Output
256
Input
9
27 18 28 18 28 45 90 45 23
Output
844733013
Submitted Solution:
```
#include <bits/stdc++.h>
using namespace std;
const long long MOD = 1000000007;
long long powmod(long long a, long long n) {
if (n == 0) return 1;
if (n % 2) return (a * powmod(a, n - 1)) % MOD;
long long c = powmod(a, n / 2);
return (c * c) % MOD;
}
long long inv(long long a) { return powmod(a, MOD - 2); }
long long fact[110000];
long long invfact[110000];
long long ncr(long long n, long long r) {
if (r < 0 || n < 0) return 0;
if (n < r) return 0;
long long a = fact[n];
a = (a * invfact[r]) % MOD;
a = (a * invfact[n - r]) % MOD;
return a;
}
void init() {
fact[0] = 1;
invfact[0] = 1;
long long inv2 = inv(2);
for (long long i = 1; i < 110000; i++) {
fact[i] = (i * fact[i - 1]) % MOD;
invfact[i] = inv(fact[i]);
}
}
pair<long long, long long> solve(vector<long long> a) {
long long r = a[0];
for (int j = 0; j < a.size(); j++) {
r = min(r, a[j]);
}
long long num0 = 0;
for (int j = 0; j < a.size(); j++) {
a[j] -= r;
if (a[j] == 0) num0++;
}
vector<long long> cur;
long long total = powmod(2, num0);
long long alternating = 2;
a.push_back(0);
for (int j = 0; j < a.size(); j++) {
if (a[j] == 0 && cur.size() > 0) {
pair<long long, long long> d = solve(cur);
cur.clear();
total = (total * (d.first + d.second)) % MOD;
alternating = (alternating * d.second) % MOD;
}
if (a[j] != 0) {
cur.push_back(a[j]);
}
if (a[j] == 0) {
num0++;
}
}
total -= alternating;
alternating = (alternating * powmod(2, r - 1)) % MOD;
total += alternating;
total %= MOD;
if (total < 0) total += MOD;
if (alternating < 0) alternating += MOD;
return {total, alternating};
}
int main() {
long long N;
cin >> N;
vector<long long> h;
for (int i = 0; i < N; i++) {
long long a;
cin >> a;
h.push_back(a);
}
pair<long long, long long> ans = solve(h);
cout << ans.first << endl;
}
``` | instruction | 0 | 29,834 | 16 | 59,668 |
No | output | 1 | 29,834 | 16 | 59,669 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45 | instruction | 0 | 30,799 | 16 | 61,598 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
N, M = map(int, input().split())
A = list(map(int, input().split()))
start = [0]*M
end = [0]*M
S = [0]*M
a = 0
score = 0
total = 0
for i in range(N-1):
p, q = A[i]-1, A[i+1]-1
start[q] += 1
end[p] += 1
S[q] += (q-p-1+M)%M
total += (q-p+M)%M
score += max(0, (q-p-1+M)%M - q)
if p > q:
a += 1
ans = total - score
ind = M-1
for _ in range(4*M):
a -= end[ind]
score += S[ind] - a
a += start[ind]
ind -= 1
if ind < -M: ind += M
ans = min(ans, total-score)
print(ans)
``` | output | 1 | 30,799 | 16 | 61,599 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45 | instruction | 0 | 30,800 | 16 | 61,600 |
"Correct Solution:
```
n,m,*A=map(int,open(0).read().split())
D=[0]*(2*m+2)
cur = 0
S = 0
for a,b in zip(A,A[1:]):
S += (b-a)%m
b += m*(b<a)
k = b-a
if k>1:
D[a+2] += 1
D[b+1] -= k
D[b+2] += k-1
for i in range(1,2*m+2):
D[i]+=D[i-1]
for i in range(1,2*m+2):
D[i]+=D[i-1]
print(S-max(D[a]+D[a+m]for a in A))
``` | output | 1 | 30,800 | 16 | 61,601 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45 | instruction | 0 | 30,801 | 16 | 61,602 |
"Correct Solution:
```
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import itertools
N,M,*A = map(int,read().split())
def f(x,y,k):
if x > y:
y += M
if k <= x:
k += M
if k <= y:
return (y-k) + 1
return y-x
add_X = 0
add_DX = 0
DDX = [0] * M
for x,y in zip(A,A[1:]):
x -= 1
y -= 1
a = f(x,y,M-2)
b = f(x,y,M-1)
add_X += b
add_DX += b-a
d = y - x
if d < 0:
d += M
DDX[(y+1)%M] += d
DDX[(y+2)%M] -= (d-1)
DDX[(x+2)%M] -= 1
DX = [add_DX + y for y in itertools.accumulate(DDX)]
X = [add_X + y for y in itertools.accumulate(DX)]
answer = min(X)
print(answer)
``` | output | 1 | 30,801 | 16 | 61,603 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45 | instruction | 0 | 30,802 | 16 | 61,604 |
"Correct Solution:
```
n,m=map(int,input().split())
A=[int(i)-1 for i in input().split()]
ds=[0]*m
de=[[] for i in range(m)]
h,dec=0,0
for i in range(n-1):
if A[i+1]-A[i]>0:
h+=A[i+1]-A[i]
else:
h+=A[i+1]+1
dec+=1
de[A[i+1]].append((i,(A[i+1]-A[i])%m))
for i in range(m):
for a in de[i]:
ds[(i-a[1]+1)%m]+=1
ans=float("inf")
for i in range(m):
for a in de[i]:
h+=a[1]-1
dec-=1
h-=dec
ans=min(h,ans)
if i<=m-2:
dec+=ds[i+1]
print(ans)
``` | output | 1 | 30,802 | 16 | 61,605 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45 | instruction | 0 | 30,803 | 16 | 61,606 |
"Correct Solution:
```
from itertools import accumulate
def acc(X): return list(accumulate(X))
N, M = map(int, input().split())
A = [int(a)-1 for a in input().split()]
X = [0] * M # 1,1,1,...
Y = [0] * M # 1,2,3,...
def tri(l, r, a = 1):
if l < M:
Y[l] += a
if r + 1 < M:
Y[r+1] -= a
X[r+1] -= (r-l+1) * a
def box(l, r, a = 1):
if l < M:
X[l] += a
if r + 1< M:
X[r+1] -= a
def calc(a, b):
if a <= b - 2:
tri(a+2, b)
elif a > b and a <= b + M - 2:
tri(a+2, M-1)
tri(0, b)
box(0, b, -a+M-2)
# print(a, b, X, Y, rev())
def rev():
ret = acc(Y)
ret = [X[i] + ret[i] for i in range(M)]
return acc(ret)
ans = 0
for i in range(1, N):
ans += (A[i] - A[i-1]) % M
calc(A[i-1], A[i])
X = rev()
# print(X)
ans -= max(X)
print(ans)
``` | output | 1 | 30,803 | 16 | 61,607 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45 | instruction | 0 | 30,804 | 16 | 61,608 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
N, M = map(int, input().split())
a = list(map(int, input().split()))
d = [0] * (N - 1)
imosa = [0] * (M * 2 + 2)
imosb = [0] * (M * 2 + 2)
for i in range(N - 1):
if a[i + 1] >= a[i]:
d[i] = a[i + 1] - a[i]
imosa[a[i] + 1] += 1
imosa[a[i + 1] + 1] -= 1
imosb[a[i] + 1] -= a[i] + 1
imosb[a[i + 1] + 1] += a[i] + 1
else:
d[i] = a[i + 1] + M - a[i]
imosa[a[i] + 1] += 1
imosa[a[i + 1] + M + 1] -= 1
imosb[a[i] + 1] -= a[i] + 1
imosb[a[i + 1] + M + 1] += a[i] + 1
#print(imosb)
#print(d)
imos = [0] * (M + 2)
for i in range(2 * M + 1):
imosa[i + 1] += imosa[i]
imosb[i + 1] += imosb[i]
#print(imosa)
#print(imosb)
for i in range(M + 2):
imos[i] = imosa[i] * i + imosa[i + M] * (i + M) + imosb[i] + imosb[i + M]
#print(imos)
print(sum(d) - max(imos[1: M + 1]))
``` | output | 1 | 30,804 | 16 | 61,609 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45 | instruction | 0 | 30,805 | 16 | 61,610 |
"Correct Solution:
```
from collections import Counter, defaultdict
n, m = [int(c) for c in input().split()]
xs = [int(c) for c in input().split()]
def ring_cost(fr, to):
return to - fr if to >= fr else (m - fr) + to
from_counter = Counter(xs[:-1])
to_counter = Counter(xs[1:])
fav = 1
cost = 0
use_fav = 0
nofav_cost = defaultdict(int)
for i in range(n - 1):
normal_cost = ring_cost(xs[i], xs[i+1])
fav_cost = ring_cost(fav, xs[i+1]) + 1
cost += min(normal_cost, fav_cost)
nofav_cost[xs[i+1]] += normal_cost
if fav_cost <= normal_cost:
use_fav += 1
ans = cost
for fav in range(2, m+1):
stop_using_fav = to_counter[fav - 1]
use_fav -= stop_using_fav
cost += nofav_cost[fav - 1] - stop_using_fav
cost -= use_fav
use_fav += from_counter[fav - 1]
ans = min(ans, cost)
# print(fav, cost)
print(ans)
``` | output | 1 | 30,805 | 16 | 61,611 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45 | instruction | 0 | 30,806 | 16 | 61,612 |
"Correct Solution:
```
"""
Writer: SPD_9X2
https://atcoder.jp/contests/arc077/tasks/arc077_c
お気に入りを決めてる時、その数字を超えるような移動が発生した場合だけ、ボタン2が有効になる。
ALLボタン１に比べて、何回節約できるかをimos法で計算する
"""
n,m = map(int,input().split())
lis = [0] * m
state = [0] * n
a = list(map(int,input().split()))
for i in range(n):
a[i] -= 1
start = [ [] for i in range(m) ]
end = [ [] for i in range(m)]
allsum = 0
for i in range(n-1):
allsum += (a[i+1]-a[i]) % m
if a[i+1] == (a[i]+1)%m:
continue
start[(a[i]+1) % m].append(i)
end[a[i+1] % m].append(i)
imosnum = 0
plus = 0
#print (start,end)
for i in range(2*m):
plus += imosnum
lis[i%m] += plus
for j in end[i%m]:
if state[j] == 1:
plus -= ((a[j+1]-(a[j]+1))%m)
state[j] = 2
imosnum -= 1
for j in start[i%m]:
if state[j] == 0:
imosnum += 1
state[j] = 1
#print (i+1,imosnum,plus)
if (allsum - max(lis) < 0):
print (asxacscd)
#print (lis)
print (allsum - max(lis))
``` | output | 1 | 30,806 | 16 | 61,613 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45
Submitted Solution:
```
_,m,*A=map(int,open(0).read().split());S=l=3*m;D=[0]*l
for a,b in zip(A,A[1:]):b+=m*(b<a);k=b-a;S+=k;D[a+2]+=1;D[b+1]-=k;D[b+2]+=k-1
for i in range(l*2):D[i%l]+=D[~-i%l]
print(S-l-max(D[a]+D[a+m]for a in A))
``` | instruction | 0 | 30,807 | 16 | 61,614 |
Yes | output | 1 | 30,807 | 16 | 61,615 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45
Submitted Solution:
```
n, m = map(int, input().split())
a = list(map(int, input().split()))
bitween = [0 for i in range(2 * m + 10)]
edge = [[] for i in range(m + 1)]
ans = 0
for i in range(n - 1):
l, r = a[i], a[i + 1]
if l >= r:
r += m
bitween[l + 2] += 1
bitween[r + 1] -= 1
edge[a[i + 1]].append(i)
for i in range(2 * m + 1):
bitween[i + 1] += bitween[i]
ans = 0
for i in range(n - 1): # x = 1
ans += min((a[i + 1] - a[i] + m) % m, (a[i + 1] - 1 + m) % m + 1)
prv = ans
for i in range(2, m + 1): # x >= 2
crt = prv - bitween[i] - bitween[i + m]
for j in edge[i - 1]:
crt -= min((a[j + 1] - a[j] + m) % m, (a[j + 1] - (i - 1) + m) % m + 1)
crt += min((a[j + 1] - a[j] + m) % m, (a[j + 1] - i + m) % m + 1 )
ans = min(ans, crt)
prv = crt
print(ans)
``` | instruction | 0 | 30,808 | 16 | 61,616 |
Yes | output | 1 | 30,808 | 16 | 61,617 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45
Submitted Solution:
```
def main():
n, m = map(int, input().split())
a = list(map(lambda x: int(x)-1, input().split()))
event = [[] for _ in [0]*m]
for j, i in enumerate(a):
if j < n-1:
A = m-a[j+1]
if A < m:
event[A].append((True, j))
B = m-i
if B < m:
event[B].append((False, j))
leader = 1
now = a[-1]
for i in range(n-1):
if a[i] > a[i+1]:
leader += 1
now += a[i]
s = a[0]
ans = 10**20
for i in range(m):
for e, j in event[i]:
if e:
leader += 1
now += ((a[j]+i) % m)
else:
now -= m
if j != n-1:
leader -= 1
now += leader
ans = min(ans, now-1-(s+i) % m)
print(ans)
main()
``` | instruction | 0 | 30,809 | 16 | 61,618 |
Yes | output | 1 | 30,809 | 16 | 61,619 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45
Submitted Solution:
```
#!usr/bin/env python3
from collections import defaultdict,deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def I(): return int(sys.stdin.readline())
def LS():return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == "\n":
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
#A
def A():
n = I()
return
#B
def B():
n = I()
return
#C
def C():
n,m = LI()
a = LI()
for i in range(n):
a[i] -= 1
b = [0]*(m+10)
ans = 0
f = [0]*(m+10)
for i in range(n-1):
r = (a[i+1]-a[i])%m
ans += r
if r < 2:
continue
if a[i+1] >= (a[i]+2)%m:
f[(a[i]+2)%m] += 1
b[(a[i]+2)%m] += 1
b[a[i+1]+1] -= 1
f[a[i+1]+1] -= r
else:
b[0] += 1
f[0] += (-a[i]-1)%m
b[a[i+1]+1] -= 1
f[a[i+1]+1] -= r
b[a[i]+2] += 1
f[a[i]+2] += 1
b[m] -= 1
for i in range(m-1):
b[i+1] += b[i]
for i in range(m-1):
f[i+1] += f[i]+b[i]
print(ans-max(f))
return
#D
def D():
n = I()
return
#E
def E():
n = I()
return
#F
def F():
n = I()
return
#Solve
if __name__ == "__main__":
C()
``` | instruction | 0 | 30,810 | 16 | 61,620 |
Yes | output | 1 | 30,810 | 16 | 61,621 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45
Submitted Solution:
```
import sys
input = sys.stdin.readline
from itertools import accumulate
n, m = map(int, input().split())
A = list(map(int, input().split()))
L = [0]*(2*m)
B = []
cnt = 0
for i in range(n-1):
a, b = A[i], A[i+1]
a -= 1
b -= 1
if a < b:
cnt += b-a
if b-a == 1:
continue
L[a+2] += 1
L[b+1] += -1
B.append((b+1, -(b-a-1)))
a += m
b += m
L[a+2] += 1
if b < 2*m-1:
L[b+1] += -1
B.append((b+1, -(b-a-1)))
else:
b += m
cnt += b-a
if b-a == 1:
continue
L[a+2] += 1
L[b+1] += -1
B.append((b+1, -(b-a-1)))
L = list(accumulate(L))
for i, b in B:
L[i] += b
L = list(accumulate(L))
ans = cnt - max(L)
print(ans)
``` | instruction | 0 | 30,811 | 16 | 61,622 |
No | output | 1 | 30,811 | 16 | 61,623 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45
Submitted Solution:
```
n, m = map(int, input().split())
a = list(map(int, input().split()))
imos = [0] * (2 * m)
diff = [0] * (2 * m)
res = 0
for i in range(n - 1):
l = a[i] - 1
r = a[i + 1] - 1
if l > r:
r += m
imos[l + 2] += 1
imos[r + 1] -= 1
diff[r + 1] = r - l - 1
res += r - l
ans = [0] * (2 * m)
tmp = 0
for i in range(2 * m):
tmp += imos[i]
if i - 1 >= 0:
ans[i] += ans[i - 1] + tmp
else:
ans[i] += tmp
ans[i] -= diff[i]
max_ = 0
for i in range(m):
max_ = max(max_, ans[i] + ans[i + m])
print(res - max_)
``` | instruction | 0 | 30,812 | 16 | 61,624 |
No | output | 1 | 30,812 | 16 | 61,625 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45
Submitted Solution:
```
from itertools import accumulate
N, M = map(int, input().split())
A = list(map(int, input().split()))
cnt = [0] * (2 * M + 1)
memo = []
ans = 0
for s, t in zip(A[:-1], A[1:]):
s += 1
if s <= t:
cnt[s] += 1
cnt[t] -= 1
cnt[s + M] += 1
cnt[t + M] -= 1
memo.append((t, t - s))
memo.append((t + M, t - s))
ans += t - s + 1
else:
t += M
cnt[s] += 1
cnt[t] -= 1
memo.append((t, t - s))
ans += t - s + 1
cnt = list(accumulate(cnt))
for i, d in memo:
cnt[i] -= d
cnt = list(accumulate(cnt))
print(ans - max(cnt))
``` | instruction | 0 | 30,813 | 16 | 61,626 |
No | output | 1 | 30,813 | 16 | 61,627 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is buying a lamp. The light of the lamp can be adjusted to m levels of brightness, represented by integers from 1 through m, by the two buttons on the remote control.
The first button is a "forward" button. When this button is pressed, the brightness level is increased by 1, except when the brightness level is m, in which case the brightness level becomes 1.
The second button is a "favorite" button. When this button is pressed, the brightness level becomes the favorite brightness level x, which is set when the lamp is purchased.
Snuke is thinking of setting the favorite brightness level x so that he can efficiently adjust the brightness. He is planning to change the brightness n-1 times. In the i-th change, the brightness level is changed from a_i to a_{i+1}. The initial brightness level is a_1. Find the number of times Snuke needs to press the buttons when x is set to minimize this number.
Constraints
* 2 \leq n,m \leq 10^5
* 1 \leq a_i\leq m
* a_i \neq a_{i+1}
* n, m and a_i are integers.
Input
Input is given from Standard Input in the following format:
n m
a_1 a_2 … a_n
Output
Print the minimum number of times Snuke needs to press the buttons.
Examples
Input
4 6
1 5 1 4
Output
5
Input
10 10
10 9 8 7 6 5 4 3 2 1
Output
45
Submitted Solution:
```
n, m = map(int, input().split(" "))
a = list(map(int, input().split(" ")))
def turn(a0, a1, x, m):
if a1 > a0:
d1 = a1 - a0
else:
d1 = a1 - a0 + m
if x > a0:
d2 = x - a0
else:
d2 = x - a0 + m
if d1 >= d2:
return 1+d1-d2
else:
return d1
print(min([sum([turn(a[i], a[i+1], x, m) for i in range(n-1)]) for x in range(1,m+1)]))
``` | instruction | 0 | 30,814 | 16 | 61,628 |
No | output | 1 | 30,814 | 16 | 61,629 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0 | instruction | 0 | 31,622 | 16 | 63,244 |
"Correct Solution:
```
n = int(input())
s = [list(input()) for _ in range(n)]
def check(a):
t = s[a:] + s[:a]
t_t = list(map(list, zip(*t)))
return t == t_t
ans = [check(a) for a in range(n)]
print(ans.count(True) * n)
``` | output | 1 | 31,622 | 16 | 63,245 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0 | instruction | 0 | 31,623 | 16 | 63,246 |
"Correct Solution:
```
N = int(input())
S = [input() for _ in range(N)]
def solve(N, S):
cs1 = [tuple(x) for x in S]
cs2 = list(zip(*cs1))
r = 0
for d in range(N):
if cs1 == cs2:
r += 1
cs1 = cs1[-1:] + cs1[:-1]
cs2 = [row[-1:] + row[:-1] for row in cs2]
return r * N
print(solve(N, S))
``` | output | 1 | 31,623 | 16 | 63,247 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0 | instruction | 0 | 31,624 | 16 | 63,248 |
"Correct Solution:
```
# B
N = int(input())
S = []
for _ in range(N):
S.append(list(input()))
def is_good(S):
# T = []
# for j in range(N):
# ls = []
# for i in range(N):
# ls.append(S[i][j])
# T.append(ls)
T = list(map(list, zip(*S)))
if T == S:
return True
else:
return False
ans = 0
for a in range(N):
T = []
for i in range(N):
T.append(S[(i+a) % N])
if is_good(T):
ans += N
print(ans)
``` | output | 1 | 31,624 | 16 | 63,249 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0 | instruction | 0 | 31,625 | 16 | 63,250 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
n = int(input())
a = [list(input().rstrip()) for i in range(n)]
ans = 0
for k in range(n):
for i in range(n):
for j in range(i+1,n):
if a[(i+k)%n][j] != a[(j+k)%n][i]:
break
else:
continue
break
else:
ans += n
print(ans)
``` | output | 1 | 31,625 | 16 | 63,251 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0 | instruction | 0 | 31,626 | 16 | 63,252 |
"Correct Solution:
```
import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(max(1000, 10**9))
write = lambda x: sys.stdout.write(x+"\n")
n = int(input())
s = [None]*n
for i in range(n):
s[i] = input()
ans = n * sum(all(all(s[(i+j)%n][(j+k)%n]==s[(i+j+k)%n][j] for k in range(n)) for j in range(n)) for i in range(n))
print(ans)
``` | output | 1 | 31,626 | 16 | 63,253 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0 | instruction | 0 | 31,627 | 16 | 63,254 |
"Correct Solution:
```
n=int(input())
s=[input()for _ in range(n)]
def check(s,t):
for i in range(n):
for j in range(n):
if s[(i+t)%n][j]!=s[(j+t)%n][i]:return False
return True
ans=0
for i in range(n):
if check(s,i):ans+=n
print(ans)
``` | output | 1 | 31,627 | 16 | 63,255 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0 | instruction | 0 | 31,628 | 16 | 63,256 |
"Correct Solution:
```
def check(c):
l = [['.']*n for _ in range(n)]
for i in range(n):
for j in range(n):
l[(i+c)%n][j] = s[i][j]
for i in range(n):
for j in range(n):
if l[i][j]!=l[j][i]:
return False
return True
n = int(input())
s = [input() for _ in range(n)]
ans = 0
for c in range(n):
if check(c):
ans+=n
print(ans)
``` | output | 1 | 31,628 | 16 | 63,257 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0 | instruction | 0 | 31,629 | 16 | 63,258 |
"Correct Solution:
```
n,*o=open(0)
n=int(n)
r=list(range(n))
print(sum((n-a-b)*all(o[(i+b)%n][(a+j)%n]==o[(j+b)%n][(a+i)%n]for i in r for j in r[i:])for a,b in zip(r+[0]*n,[0]*~-n+r)))
``` | output | 1 | 31,629 | 16 | 63,259 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0
Submitted Solution:
```
n = int(input())
A = [input() for _ in range(n)]
out = 0
for k in range(n):
a = A[k:][:] + A[:k][:]
if ''.join(a) == ''.join(list(map(''.join, zip(*a)))):
out += n
print(out)
``` | instruction | 0 | 31,630 | 16 | 63,260 |
Yes | output | 1 | 31,630 | 16 | 63,261 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0
Submitted Solution:
```
N = int(input())
S = [list(input()) for i in range(N)]
def is_ok(mat):
n = len(mat)
for i in range(n):
for j in range(i, n):
if mat[i][j] != mat[j][i]:
return False
return True
count = 0
A = 1
for B in range(N):
next_S = [S[(i+B) % N] for i in range(N)]
if is_ok(next_S):
count += 1
print(count * N)
``` | instruction | 0 | 31,631 | 16 | 63,262 |
Yes | output | 1 | 31,631 | 16 | 63,263 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0
Submitted Solution:
```
def main():
n=int(input())
s=[input() for _ in [0]*n]
def check(a):
for i in range(n):
for j in range(i):
if s[i%n][(j+a)%n]!=s[j%n][(i+a)%n]:
return 0
return 1
print(n*sum([check(i) for i in range(n)]))
main()
``` | instruction | 0 | 31,632 | 16 | 63,264 |
Yes | output | 1 | 31,632 | 16 | 63,265 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0
Submitted Solution:
```
import sys
sys.setrecursionlimit(10 ** 7)
rl = sys.stdin.readline
def solve():
N = int(rl())
S = [rl().rstrip() for _ in range(N)]
ans = 0
for b in range(N):
flg = True
for i in range(N):
ii = (i + b) % N
for j in range(N):
jj = (j + b) % N
if S[i][jj] != S[j][ii]:
flg = False
break
if not flg:
break
ans += flg
ans *= N
print(ans)
if __name__ == '__main__':
solve()
``` | instruction | 0 | 31,633 | 16 | 63,266 |
Yes | output | 1 | 31,633 | 16 | 63,267 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0
Submitted Solution:
```
N=int(input())
S=[list(input()) for _ in range(N)]
ans=0
for k in range(N):
ju=1
for i in range(N):
for j in range(N):
if S[i][(k+j)%N]!=S[j][(k+i)%N]:
ju=0
if ju==1:
ans+=1
print(N*ans)
``` | instruction | 0 | 31,634 | 16 | 63,268 |
No | output | 1 | 31,634 | 16 | 63,269 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0
Submitted Solution:
```
from itertools import combinations, product
n=int(input())
s=[["a" for _ in range(n)] for _ in range(n)]
for i in range(n):
s[i]=list(input())
res=0
for a,b in product(range(n),range(n)):
for i,j in combinations(range(n),2):
if(s[(i+a)%n][(j+b)%n]!=s[(j+b)%n][(i+a)%n]):
break
else:
res+=1
print(res)
``` | instruction | 0 | 31,635 | 16 | 63,270 |
No | output | 1 | 31,635 | 16 | 63,271 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0
Submitted Solution:
```
import sys
import heapq
from operator import itemgetter
from collections import deque, defaultdict, Counter
from bisect import bisect_left, bisect_right
input = sys.stdin.readline
sys.setrecursionlimit(10 ** 7)
MOD = 10**9 + 7
def sol():
N = int(input())
S = [0] * N
for i in range(N):
S[i] = input().rstrip()
ans = 0
for a in range(N):
for b in range(N):
for i in range(N):
for j in range(N):
if i == j:
continue
if S[(i - a) % N][(j - b) % N] != S[(j - b) % N][(i - a) % N]:
break
else:
continue
break
else:
ans += 1
print(ans)
sol()
``` | instruction | 0 | 31,636 | 16 | 63,272 |
No | output | 1 | 31,636 | 16 | 63,273 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has two boards, each divided into a grid with N rows and N columns. For both of these boards, the square at the i-th row from the top and the j-th column from the left is called Square (i,j).
There is a lowercase English letter written in each square on the first board. The letter written in Square (i,j) is S_{i,j}. On the second board, nothing is written yet.
Snuke will write letters on the second board, as follows:
* First, choose two integers A and B ( 0 \leq A, B < N ).
* Write one letter in each square on the second board. Specifically, write the letter written in Square ( i+A, j+B ) on the first board into Square (i,j) on the second board. Here, the k-th row is also represented as the (N+k)-th row, and the k-th column is also represented as the (N+k)-th column.
After this operation, the second board is called a good board when, for every i and j ( 1 \leq i, j \leq N ), the letter in Square (i,j) and the letter in Square (j,i) are equal.
Find the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Constraints
* 1 \leq N \leq 300
* S_{i,j} ( 1 \leq i, j \leq N ) is a lowercase English letter.
Input
Input is given from Standard Input in the following format:
N
S_{1,1}S_{1,2}..S_{1,N}
S_{2,1}S_{2,2}..S_{2,N}
:
S_{N,1}S_{N,2}..S_{N,N}
Output
Print the number of the ways to choose integers A and B ( 0 \leq A, B < N ) such that the second board is a good board.
Examples
Input
2
ab
ca
Output
2
Input
4
aaaa
aaaa
aaaa
aaaa
Output
16
Input
5
abcde
fghij
klmno
pqrst
uvwxy
Output
0
Submitted Solution:
```
n = int(input())
A = [input() for _ in range(n)]
AT = list(map(''.join,zip(*A)))
count = 0
for a in range(n):
arr = A[a:][:] + A[:a][:]
arrT = AT[a:][:] + AT[:a][:]
for i in range(n):
if arr[i][i+1:] != arrT[i][i+1:]:
break
else:
count += n
print(count)
``` | instruction | 0 | 31,637 | 16 | 63,274 |
No | output | 1 | 31,637 | 16 | 63,275 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8 | instruction | 0 | 31,638 | 16 | 63,276 |
"Correct Solution:
```
s=input()
a=list(set(s))
l=[]
for i in a:
b=s+i
m=0
c=0
for j in range(len(b)):
c+=1
if b[j]==i:
if c>m:
m=c
c=0
l.append(m)
print(min(l)-1)
``` | output | 1 | 31,638 | 16 | 63,277 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8 | instruction | 0 | 31,639 | 16 | 63,278 |
"Correct Solution:
```
S=list(input())
ans=len(S)
for s in set(S):
T=S
tmp=0
for i in range(len(S)):
if len(set(T))==1:
ans=min(ans,tmp)
break
tmp+=1
T=[s if a==s else b for a,b in zip(T[0:],T[1:])]
print(ans)
``` | output | 1 | 31,639 | 16 | 63,279 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8 | instruction | 0 | 31,640 | 16 | 63,280 |
"Correct Solution:
```
s = input()
ans = len(s)
for i in set(s):
t = s.split(i)
c = 0
for j in t:
c = max(c,len(j))
ans = min(ans,c)
print(ans)
``` | output | 1 | 31,640 | 16 | 63,281 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8 | instruction | 0 | 31,641 | 16 | 63,282 |
"Correct Solution:
```
S=list(input())
N=len(S)
ans=100
for s in S:
i=0
C=0
count2=0
while i<N:
if s!=S[i]:
count2+=1
else:
C=max(C,count2)
count2=0
i+=1
C=max(C,count2)
ans=min(C,ans)
print(ans)
``` | output | 1 | 31,641 | 16 | 63,283 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8 | instruction | 0 | 31,642 | 16 | 63,284 |
"Correct Solution:
```
s = input()
v = 'abcdefghijklmnopqrstuvwxyz'
ans = 1000
for i in range(26):
t = s
a = t.split(v[i])
if len(a) == 1:
continue
b = 0
for j in a:
b = max(len(j),b)
ans = min(b,ans)
print (ans)
``` | output | 1 | 31,642 | 16 | 63,285 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8 | instruction | 0 | 31,643 | 16 | 63,286 |
"Correct Solution:
```
s = input()
ans = [0 for i in range(ord('z')-ord('a')+1)]
for i in range(ord('a'),ord('z')+1):
c = chr(i)
s2 = s.split(c)
ans[i-ord('a')] = max([len(ss) for ss in s2])
print(min(ans))
``` | output | 1 | 31,643 | 16 | 63,287 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8 | instruction | 0 | 31,644 | 16 | 63,288 |
"Correct Solution:
```
s = input()
n = len(s)
ans = 101
for i in range(n):
move = 0
r = -1
for j in range(n):
if s[j] == s[i]:
move = max(move, j-r-1)
r = j
move = max(move, n-r-1)
ans = min(ans, move)
print(ans)
``` | output | 1 | 31,644 | 16 | 63,289 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8 | instruction | 0 | 31,645 | 16 | 63,290 |
"Correct Solution:
```
s=input()
ans=float('inf')
for c in set(s):
# print (c)
ans=min(ans,max(map(len,s.split(c))))
# print (ans)
print(ans)
``` | output | 1 | 31,645 | 16 | 63,291 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8
Submitted Solution:
```
# A - Shrinking
s = input()
N = len(s)
ans = 1000
for i in range(N):
count = count_max = 0
for j in range(1,N+1):
if s[i]==s[N-j]:
count = 0
else:
count += 1
count_max = max(count, count_max)
ans = min(count_max, ans)
print(ans)
``` | instruction | 0 | 31,646 | 16 | 63,292 |
Yes | output | 1 | 31,646 | 16 | 63,293 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8
Submitted Solution:
```
s = input()
c = "abcdefghijklmnopqrstuvwxyz"
a = len(s)
for i in c:
sl = s
count = 0
while len(sl) != sl.count(i):
nsl = ""
for j in range(len(sl)-1):
if sl[j] == i or sl[j+1] == i:
nsl += i
else:
nsl += sl[j]
sl = nsl
count += 1
a = min(a,count)
print(a)
``` | instruction | 0 | 31,647 | 16 | 63,294 |
Yes | output | 1 | 31,647 | 16 | 63,295 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8
Submitted Solution:
```
s = input()
s_list = list(s)
minis = []
for k in set(s):
a = [i for i, x in enumerate(s_list) if x == k]
mini = max(a[0], 0)
for m in range(len(a) - 1):
mini = max(a[m+1] - a[m] - 1, mini)
mini = max(len(s) - a[-1] - 1, mini)
minis.append(mini)
print(min(minis))
``` | instruction | 0 | 31,648 | 16 | 63,296 |
Yes | output | 1 | 31,648 | 16 | 63,297 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8
Submitted Solution:
```
S = input()
N = len(S)
C = set(S)
ans = N-1
for c in C:
T = list(S)
tmp = 0
for i in range(N):
if len(set(T))==1 :
ans = min(ans,tmp)
break
tmp += 1
T = [c if a == c else b for a,b in zip(T[:-1],T[1:])]
print(ans)
``` | instruction | 0 | 31,649 | 16 | 63,298 |
Yes | output | 1 | 31,649 | 16 | 63,299 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8
Submitted Solution:
```
s = input()
l = list(s)
N = len(s)
n = len(s)
ans = 0
for ll in l:
S = s
n = N
while n > 0:
tmp = ''
for i in range(n - 1):
if S[i] == ll or S[i + 1] == ll:
tmp += ll
else:
tmp += S[i]
if len(set(tmp)) == 1:
ans = max(ans, len(tmp))
break
n -= 1
S = tmp
print(N - ans)
``` | instruction | 0 | 31,650 | 16 | 63,300 |
No | output | 1 | 31,650 | 16 | 63,301 |
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