message stringlengths 2 28.7k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 21 109k | cluster float64 7 7 | __index_level_0__ int64 42 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Easter Rabbit laid n eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
* Each of the seven colors should be used to paint at least one egg.
* Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input
The only line contains an integer n — the amount of eggs (7 ≤ n ≤ 100).
Output
Print one line consisting of n characters. The i-th character should describe the color of the i-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Examples
Input
8
Output
ROYGRBIV
Input
13
Output
ROYGBIVGBIVYG
Note
The way the eggs will be painted in the first sample is shown on the picture:
<image>
Submitted Solution:
```
res = {}
res[0] = 'R';
res[1] = 'O';
res[2] = 'Y';
res[3] = 'G';
res[4] = 'B';
res[5] = 'I';
res[6] = 'V';
n = int(input())
for i in range(7,n):
res[i] = res[i - 4]
k = res.values()
k = list(k)
s = ''.join(k)
print(s)
``` | instruction | 0 | 94,066 | 7 | 188,132 |
Yes | output | 1 | 94,066 | 7 | 188,133 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Easter Rabbit laid n eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
* Each of the seven colors should be used to paint at least one egg.
* Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input
The only line contains an integer n — the amount of eggs (7 ≤ n ≤ 100).
Output
Print one line consisting of n characters. The i-th character should describe the color of the i-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Examples
Input
8
Output
ROYGRBIV
Input
13
Output
ROYGBIVGBIVYG
Note
The way the eggs will be painted in the first sample is shown on the picture:
<image>
Submitted Solution:
```
n = int(input())
colors = ["R", "O", "Y", "G", "B", "I", "V"]
answer = list()
for i in range(n):
answer.append(colors[i%7])
if (n % 7) < 4:
elements = n % 7
for i in range(elements):
j = len(answer) - 1
k = 3
temp = answer[j]
while k > 0:
answer[j] = answer[j-1]
j -= 1
k -= 1
answer[j] = temp
printstring = ""
for i in range(len(answer)):
printstring += answer[i]
print(printstring)
``` | instruction | 0 | 94,067 | 7 | 188,134 |
Yes | output | 1 | 94,067 | 7 | 188,135 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Easter Rabbit laid n eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
* Each of the seven colors should be used to paint at least one egg.
* Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input
The only line contains an integer n — the amount of eggs (7 ≤ n ≤ 100).
Output
Print one line consisting of n characters. The i-th character should describe the color of the i-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Examples
Input
8
Output
ROYGRBIV
Input
13
Output
ROYGBIVGBIVYG
Note
The way the eggs will be painted in the first sample is shown on the picture:
<image>
Submitted Solution:
```
rgb = "ROYGBIV"
n = int(input())
out = ""
out += rgb * (n // 7)
n %= 7
out += rgb[3:] * (n // 4)
n %= 4
out += rgb[3:n+3]
print(out)
``` | instruction | 0 | 94,068 | 7 | 188,136 |
Yes | output | 1 | 94,068 | 7 | 188,137 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Easter Rabbit laid n eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
* Each of the seven colors should be used to paint at least one egg.
* Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input
The only line contains an integer n — the amount of eggs (7 ≤ n ≤ 100).
Output
Print one line consisting of n characters. The i-th character should describe the color of the i-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Examples
Input
8
Output
ROYGRBIV
Input
13
Output
ROYGBIVGBIVYG
Note
The way the eggs will be painted in the first sample is shown on the picture:
<image>
Submitted Solution:
```
n = int(input())
while n >= 7:
n -= 7
print("ROYGBIV",end='')
if n <= 3:
print("GBI"[:n])
else:
print("ROYGBIV"[:n])
``` | instruction | 0 | 94,069 | 7 | 188,138 |
Yes | output | 1 | 94,069 | 7 | 188,139 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Easter Rabbit laid n eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
* Each of the seven colors should be used to paint at least one egg.
* Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input
The only line contains an integer n — the amount of eggs (7 ≤ n ≤ 100).
Output
Print one line consisting of n characters. The i-th character should describe the color of the i-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Examples
Input
8
Output
ROYGRBIV
Input
13
Output
ROYGBIVGBIVYG
Note
The way the eggs will be painted in the first sample is shown on the picture:
<image>
Submitted Solution:
```
n=int(input())
k=n//7
k1=n%7
s='VIBGYOR'
s2='GYORVIB'
s=s*k + s2[:k1]
print(s)
``` | instruction | 0 | 94,070 | 7 | 188,140 |
No | output | 1 | 94,070 | 7 | 188,141 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Easter Rabbit laid n eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
* Each of the seven colors should be used to paint at least one egg.
* Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input
The only line contains an integer n — the amount of eggs (7 ≤ n ≤ 100).
Output
Print one line consisting of n characters. The i-th character should describe the color of the i-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Examples
Input
8
Output
ROYGRBIV
Input
13
Output
ROYGBIVGBIVYG
Note
The way the eggs will be painted in the first sample is shown on the picture:
<image>
Submitted Solution:
```
n=int(input())
s='ROYGBIV'
se='GBIV'
c=n%len(s)
d=n//len(s)
f=int((c)%4)
if(c==0):
print(s*d)
else:
if(f<4):
print((s*d)+(se[0:c]))
else:
if(f%4==0):
print((s*d)+(se*(c//4)))
else:
print((s*d)+(se*(c//4))+se[0:(c%4)])
``` | instruction | 0 | 94,071 | 7 | 188,142 |
No | output | 1 | 94,071 | 7 | 188,143 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Easter Rabbit laid n eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
* Each of the seven colors should be used to paint at least one egg.
* Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input
The only line contains an integer n — the amount of eggs (7 ≤ n ≤ 100).
Output
Print one line consisting of n characters. The i-th character should describe the color of the i-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Examples
Input
8
Output
ROYGRBIV
Input
13
Output
ROYGBIVGBIVYG
Note
The way the eggs will be painted in the first sample is shown on the picture:
<image>
Submitted Solution:
```
a = int(input())
s = "ROYGBIV"
if a > 7:
print(s * (a // 7) + s[3:] * 2)
else:
print(s[:a])
``` | instruction | 0 | 94,072 | 7 | 188,144 |
No | output | 1 | 94,072 | 7 | 188,145 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Easter Rabbit laid n eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
* Each of the seven colors should be used to paint at least one egg.
* Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input
The only line contains an integer n — the amount of eggs (7 ≤ n ≤ 100).
Output
Print one line consisting of n characters. The i-th character should describe the color of the i-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Examples
Input
8
Output
ROYGRBIV
Input
13
Output
ROYGBIVGBIVYG
Note
The way the eggs will be painted in the first sample is shown on the picture:
<image>
Submitted Solution:
```
str="ROYGBIV"
str2="GBIVROY"
n=int(input())
final=str*(n//7)
final+=str2[:(n%7)]
print(final)
``` | instruction | 0 | 94,073 | 7 | 188,146 |
No | output | 1 | 94,073 | 7 | 188,147 |
Provide a correct Python 3 solution for this coding contest problem.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525 | instruction | 0 | 94,147 | 7 | 188,294 |
"Correct Solution:
```
n,m,k = map(int,input().split())
mod = 998244353
ans = 0
fact = [1,1]
finv = [1,1]
for i in range(2, n+1):
fact += [fact[i-1] * i % mod]
finv += [pow(fact[i], mod-2, mod)]
def comb(n,k, mod):
return (fact[n] * finv[k] * finv[n-k]) % mod
for i in range(0, k+1):
ans += m * pow(m-1, n-i-1, mod) * comb(n-1, i, mod)
ans %= mod
print(ans)
``` | output | 1 | 94,147 | 7 | 188,295 |
Provide a correct Python 3 solution for this coding contest problem.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525 | instruction | 0 | 94,148 | 7 | 188,296 |
"Correct Solution:
```
MOD = 998244353
FACT_MAX = 2 * 10 ** 5
fact = [1] * FACT_MAX
for i in range(1, FACT_MAX):
fact[i] = fact[i - 1] * i % MOD
def comb(n, r):
return fact[n] * pow(fact[n - r], MOD - 2, MOD) * pow(fact[r], MOD - 2, MOD) % MOD
N, M, K = map(int, input().split())
total = 0
for k in range(K + 1):
total = (total + comb(N - 1, k) * M * pow(M - 1, N - k - 1, MOD)) % MOD
print(total)
``` | output | 1 | 94,148 | 7 | 188,297 |
Provide a correct Python 3 solution for this coding contest problem.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525 | instruction | 0 | 94,149 | 7 | 188,298 |
"Correct Solution:
```
def cmb(n,r,mod):
if r<0 or r>n:return 0
r=min(r,n-r)
return g1[n]*g2[r]*g2[n-r]%mod
mod=998244353
n,m,k=map(int,input().split())
g1=[1,1]
g2=[1,1]
inverse=[0,1]
for i in range(2,n):
g1.append((g1[-1]*i)%mod)
inverse.append((-inverse[mod%i]*(mod//i))%mod)
g2.append((g2[-1]*inverse[-1]%mod))
ans=m*(m-1)**(n-1)
for i in range(k):
ans +=(m*pow(m-1,n-2-i,mod))*cmb(n-1,i+1,mod)
ans %=mod
print(ans%mod)
``` | output | 1 | 94,149 | 7 | 188,299 |
Provide a correct Python 3 solution for this coding contest problem.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525 | instruction | 0 | 94,150 | 7 | 188,300 |
"Correct Solution:
```
MOD = 998244353
fac = [1] * (3 * 10 ** 5)
for i in range(len(fac) - 1):
fac[i + 1] = fac[i] * (i + 1) % MOD
def comb(n, k):
return fac[n] * pow(fac[n - k], MOD - 2, MOD) * pow(fac[k], MOD - 2, MOD) % MOD
n, m, k = map(int, input().split())
ans = 0
for a in range(n, n - k - 1, -1):
ans += m * pow(m - 1, a - 1, MOD) * comb(n - 1, a - 1) % MOD
print(ans % MOD)
``` | output | 1 | 94,150 | 7 | 188,301 |
Provide a correct Python 3 solution for this coding contest problem.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525 | instruction | 0 | 94,151 | 7 | 188,302 |
"Correct Solution:
```
n, m, k = map(int, input().split())
MOD = 998244353
ans = 0
c = 1
for i in range(k + 1):
ans = (ans + m * pow(m - 1, n - i - 1, MOD) * c) % MOD
c = (c * (n - 1 - i) * pow(i + 1, MOD - 2, MOD)) % MOD
# print(f"{ans = }, {c = }")
print(ans)
``` | output | 1 | 94,151 | 7 | 188,303 |
Provide a correct Python 3 solution for this coding contest problem.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525 | instruction | 0 | 94,152 | 7 | 188,304 |
"Correct Solution:
```
def main():
n, m, k = map(int, input().split())
MOD = 998244353
ans = 0
c = 1
for i in range(k + 1):
ans += (((m * pow(m - 1, n - i - 1, MOD)) % MOD) * c) % MOD
ans %= MOD
c = (c * (n - 1 - i) * pow(i + 1, MOD - 2, MOD)) % MOD
print(ans % MOD)
if __name__ == '__main__':
main()
``` | output | 1 | 94,152 | 7 | 188,305 |
Provide a correct Python 3 solution for this coding contest problem.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525 | instruction | 0 | 94,153 | 7 | 188,306 |
"Correct Solution:
```
n,m,k=map(int,input().split())
mod=998244353
if m==1:print(0 if k!=n-1 else 1);exit()
fact=[1]*(n-1+1)
inv=[1]*(n-1+1)
for i in range(2,n-1+1):
fact[i]=i*fact[i-1]%mod
inv[-1]=pow(fact[-1],mod-2,mod)
for i in range(n-1,1,-1):
inv[i-1]=inv[i]*i%mod
ans=0
po=pow(m-1,n-1,mod)*m%mod
ue=fact[n-1]
iii=pow(m-1,mod-2,mod)%mod
for i in range(k+1):
ans+=ue*inv[n-1-i]%mod*inv[i]%mod*po%mod
po*=iii
po%=mod
print(ans%mod)
``` | output | 1 | 94,153 | 7 | 188,307 |
Provide a correct Python 3 solution for this coding contest problem.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525 | instruction | 0 | 94,154 | 7 | 188,308 |
"Correct Solution:
```
N, M, K = map(int, input().split())
mod = 998244353
fact = [1 for i in range(N+1)]
fact_inv = [1 for i in range(N+1)]
for i in range(1, N+1):
fact[i] = fact[i-1] * i %mod
fact_inv[i] = pow(fact[i], mod-2, mod)
ans = 0
for k in range(K+1):
x = M *pow(M-1, N-1-k, mod) *fact[N-1] *fact_inv[k] *fact_inv[N-1-k]
ans += x %mod
ans = ans %mod
print(ans)
``` | output | 1 | 94,154 | 7 | 188,309 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525
Submitted Solution:
```
#E
n,m,k = list(map(int,input().split()))
fac = [1]*n
finv = [1]*n
inv = [1]*n
MOD = 998244353
for i in range(2,n):
fac[i] = fac[i-1]*i%MOD
inv[i] = MOD-inv[MOD%i]*(MOD//i)%MOD
finv[i] = finv[i-1]*inv[i]%MOD
def comb(n,k):
return fac[n]*(finv[k]*finv[n-k]%MOD)%MOD
ans = 0
for i in range(k+1):
# print(comb(n-1,i),m*(m-1)**(n-i-1))
ans += comb(n-1,i)*m*pow(m-1,n-i-1,MOD)%MOD
ans %= MOD
print(ans)
``` | instruction | 0 | 94,155 | 7 | 188,310 |
Yes | output | 1 | 94,155 | 7 | 188,311 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525
Submitted Solution:
```
MOD = 998244353
N, M, K = map(int, input().split())
Mp = [0]*(K+1)
nck = [0]*(K+1)
nck[0] = 1
ans = 0
comb = 1
for i in range(K+1):
t = 1
t *= M
t %= MOD
t *= pow(M-1, N-1-i, MOD)
t %= MOD
t *= comb
t %= MOD
ans += t
ans %= MOD
comb *= N-1-i
comb %= MOD
comb *= pow(i+1, MOD-2, MOD)
comb %= MOD
print(ans)
``` | instruction | 0 | 94,156 | 7 | 188,312 |
Yes | output | 1 | 94,156 | 7 | 188,313 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525
Submitted Solution:
```
# coding: utf-8
def solve(*args: str) -> str:
n, m, k = map(int, args[0].split())
mod = 998244353
if m == 1 and n-1 == k:
return str(1)
ncr = 1
p = m*pow(m-1, n-1, mod) % mod
ret = p
inv = pow(m-1, mod-2, mod)
for i in range(1, k+1):
ncr = (ncr * (n-i)*pow(i, mod-2, mod)) % mod
p = (p*inv) % mod
ret += p*ncr % mod
return str(ret % mod)
if __name__ == "__main__":
print(solve(*(open(0).read().splitlines())))
``` | instruction | 0 | 94,157 | 7 | 188,314 |
Yes | output | 1 | 94,157 | 7 | 188,315 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525
Submitted Solution:
```
n, m, k = map(int, input().split())
ans = 0
def cmb(n, r, mod):
if ( r<0 or r>n ):
return 0
r = min(r, n-r)
return g1[n] * g2[r] * g2[n-r] % mod
mod = 998244353
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]
for i in range( 2, n + 1 ):
g1.append( ( g1[-1] * i ) % mod )
inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
g2.append( (g2[-1] * inverse[-1]) % mod )
for i in range(k + 1):
ans = (ans + m * pow(m - 1, n - 1 - i, mod) * cmb(n-1,i, mod)) % mod
print(ans)
``` | instruction | 0 | 94,158 | 7 | 188,316 |
Yes | output | 1 | 94,158 | 7 | 188,317 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525
Submitted Solution:
```
N,M,K=map(int, input().split())
MOD=998244353
ans=0
temp2=1
temp3=1
for i in range(K+1):
if i == 0:
temp1=M*(M-1)**(N-1)%MOD
temp=temp1*temp2%MOD
ans+=temp
#print(temp)
else:
temp1=M*(M-1)**(N-1-i)%MOD
temp2*=(N-i)
temp3*=i
temp=temp1*temp2*temp3%MOD
ans+=temp
#print(temp)
print(ans%MOD)
``` | instruction | 0 | 94,159 | 7 | 188,318 |
No | output | 1 | 94,159 | 7 | 188,319 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525
Submitted Solution:
```
N, M, K = map(int, input().split())
MOD = 998244353
MAX = 2 * 10 ** 5 + 1
# Factorial
fac = [0] * (MAX + 1)
fac[0] = 1
fac[1] = 1
# Inverse
inv = [0] * (MAX + 1)
inv[1] = 1
# Inverse factorial
finv = [0] * (MAX + 1)
finv[0] = 1
finv[1] = 1
for i in range(2, MAX + 1):
fac[i] = fac[i - 1] * i % MOD
inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD
finv[i] = finv[i - 1] * inv[i] % MOD
def comb(n, k):
if n < k or k < 0:
return 0
return (fac[n] * finv[k] * finv[n - k]) % MOD
ans = 0
for k in range(K + 1):
ans += (comb(N - 1, k) * M * pow(M - 1, N - k - 1, MOD)) % MOD
print(ans)
``` | instruction | 0 | 94,160 | 7 | 188,320 |
No | output | 1 | 94,160 | 7 | 188,321 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525
Submitted Solution:
```
n,m,k=map(int,input().split())
mod=998244353
ans=m*((m-1)**(n-1))%mod
print(ans)
``` | instruction | 0 | 94,161 | 7 | 188,322 |
No | output | 1 | 94,161 | 7 | 188,323 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N blocks arranged in a row. Let us paint these blocks.
We will consider two ways to paint the blocks different if and only if there is a block painted in different colors in those two ways.
Find the number of ways to paint the blocks under the following conditions:
* For each block, use one of the M colors, Color 1 through Color M, to paint it. It is not mandatory to use all the colors.
* There may be at most K pairs of adjacent blocks that are painted in the same color.
Since the count may be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N, M \leq 2 \times 10^5
* 0 \leq K \leq N - 1
Input
Input is given from Standard Input in the following format:
N M K
Output
Print the answer.
Examples
Input
3 2 1
Output
6
Input
100 100 0
Output
73074801
Input
60522 114575 7559
Output
479519525
Submitted Solution:
```
def e_colorful_blocks(MOD=998244353):
N, M, K = [int(i) for i in input().split()]
# dp[i][k]: i 番目まで見たときに、同じ色で塗られている組が k 組である
dp = [[0] * (K + 1) for _ in range(N)]
dp[0][0] = M
for i in range(N - 1):
for k in range(min(i, K) + 1):
if k == K:
dp[i + 1][k] += dp[i][k] * (M - 1) # 異なる色で塗るしかない
dp[i + 1][k] %= MOD
else:
dp[i + 1][k] += dp[i][k] * (M - 1) # 左と異なる色で塗る
dp[i + 1][k + 1] += dp[i][k] # 左と同じ色で塗る
dp[i + 1][k] %= MOD
dp[i + 1][k + 1] %= MOD
return sum([dp[N - 1][k] for k in range(K + 1)]) % MOD
print(e_colorful_blocks())
``` | instruction | 0 | 94,162 | 7 | 188,324 |
No | output | 1 | 94,162 | 7 | 188,325 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n integers. You need to choose a subset and put the chosen numbers in a beautiful rectangle (rectangular matrix). Each chosen number should occupy one of its rectangle cells, each cell must be filled with exactly one chosen number. Some of the n numbers may not be chosen.
A rectangle (rectangular matrix) is called beautiful if in each row and in each column all values are different.
What is the largest (by the total number of cells) beautiful rectangle you can construct? Print the rectangle itself.
Input
The first line contains n (1 ≤ n ≤ 4⋅10^5). The second line contains n integers (1 ≤ a_i ≤ 10^9).
Output
In the first line print x (1 ≤ x ≤ n) — the total number of cells of the required maximum beautiful rectangle. In the second line print p and q (p ⋅ q=x): its sizes. In the next p lines print the required rectangle itself. If there are several answers, print any.
Examples
Input
12
3 1 4 1 5 9 2 6 5 3 5 8
Output
12
3 4
1 2 3 5
3 1 5 4
5 6 8 9
Input
5
1 1 1 1 1
Output
1
1 1
1 | instruction | 0 | 94,495 | 7 | 188,990 |
Tags: brute force, combinatorics, constructive algorithms, data structures, greedy, math
Correct Solution:
```
def play(arr):
n = len(arr)
number2Count = {}
for p in arr:
number2Count[p] = number2Count.get(p, 0) + 1
count2Numbers = {}
maxCnt = 0
for num in number2Count:
cnt = number2Count[num]
if not cnt in count2Numbers:
count2Numbers[cnt] = []
count2Numbers[cnt].append(num)
maxCnt = max(maxCnt, cnt)
numRepeats = [0] * (n + 1)
numRepeats[n] = len(count2Numbers.get(n, []))
for i in range(n - 1, 0, -1):
numRepeats[i] = numRepeats[i + 1] + len(count2Numbers.get(i, []))
a_ideal = 0
b_ideal = 0
square = 0
square_ideal = 0
for a in range(1, n + 1):
square += numRepeats[a]
b = int(square / a)
if a <= b:
if square_ideal < a * b:
square_ideal = a * b
a_ideal = a
b_ideal = b
print(a_ideal * b_ideal)
print(str(a_ideal) + ' ' + str(b_ideal))
matrix = [[0] * b_ideal for p in range(0, a_ideal)]
x = 0
y = 0
for cnt in range(maxCnt, 0, -1):
for num in count2Numbers.get(cnt, []):
for i in range(0, min(cnt, a_ideal)):
if matrix[x][y] > 0:
x = (x + 1) % a_ideal
if matrix[x][y] == 0:
matrix[x][y] = num
x = (x + 1) % a_ideal
y = (y + 1) % b_ideal
for i in range(0, a_ideal):
print(*matrix[i])
def main():
input()
arr = list(map(int, input().split()))
play(arr)
main()
#print(play([3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8]))
#print(play([4, 9, 5, 9, 6, 8, 9, 8, 7]))
# play(['010', '101', '0'])
# play(['00000', '00001'])
# play(['01', '001', '0001', '00001'])
``` | output | 1 | 94,495 | 7 | 188,991 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0 | instruction | 0 | 94,668 | 7 | 189,336 |
Tags: implementation
Correct Solution:
```
input()
s=list(input())
c = 0
for i in range(len(s)-1):
if s[i] == s[i+1]:
c=c+1
print(c)
``` | output | 1 | 94,668 | 7 | 189,337 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0 | instruction | 0 | 94,669 | 7 | 189,338 |
Tags: implementation
Correct Solution:
```
n = input()
s = input()
a = 0
p = 'C'
for letter in s:
if letter == p:
a +=1
else:
p = letter
print(a)
``` | output | 1 | 94,669 | 7 | 189,339 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0 | instruction | 0 | 94,670 | 7 | 189,340 |
Tags: implementation
Correct Solution:
```
n = int(input())
s = input()
ptr1 = 0
ptr2 = 1
cnt = 0
while ptr1 < n and ptr2 < n:
while ptr2 < n and s[ptr1] == s[ptr2]:
ptr2 += 1
cnt += 1
ptr1 = ptr2
ptr2 += 1
print(cnt)
``` | output | 1 | 94,670 | 7 | 189,341 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0 | instruction | 0 | 94,671 | 7 | 189,342 |
Tags: implementation
Correct Solution:
```
n=int(input())
k=input()
count=0
for i in range(len(k)-1):
if k[i]==k[i+1]:
count=count+1
print(count)
``` | output | 1 | 94,671 | 7 | 189,343 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0 | instruction | 0 | 94,672 | 7 | 189,344 |
Tags: implementation
Correct Solution:
```
l = int(input())
inp = list(input())
p = inp[0]
c = ''
n = 0
for i in range(l):
if(i==0):
continue
c=inp[i]
if(c==p):
n+=1
else:
p=c
print(n)
``` | output | 1 | 94,672 | 7 | 189,345 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0 | instruction | 0 | 94,673 | 7 | 189,346 |
Tags: implementation
Correct Solution:
```
n=int(input())
f=str(input())
count=0
for i in range(len(f)-1):
if(f[i]==f[i+1]):
count+=1
print(count)
``` | output | 1 | 94,673 | 7 | 189,347 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0 | instruction | 0 | 94,674 | 7 | 189,348 |
Tags: implementation
Correct Solution:
```
n = int(input())
s = str(input())
current = "P"
result = 0
for i in s:
if i != current:
current = i
else:
result+=1
print(result)
``` | output | 1 | 94,674 | 7 | 189,349 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0 | instruction | 0 | 94,675 | 7 | 189,350 |
Tags: implementation
Correct Solution:
```
n = int(input())
s = [i for i in input()]
count = 0
for i in range(0,n-1):
if s[i] == s[i+1]:
count += 1
print(count)
``` | output | 1 | 94,675 | 7 | 189,351 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0
Submitted Solution:
```
u=int(input())
k=input()
c=0
for i in range(len(k)-1):
if(k[i]==k[i+1]):
c+=1
print(c)
``` | instruction | 0 | 94,676 | 7 | 189,352 |
Yes | output | 1 | 94,676 | 7 | 189,353 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0
Submitted Solution:
```
n=int(input())
s=input()
cnt=0
for i in range(n-1):
if s[i]==s[i+1]:
cnt+=1
print(cnt)
``` | instruction | 0 | 94,677 | 7 | 189,354 |
Yes | output | 1 | 94,677 | 7 | 189,355 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0
Submitted Solution:
```
n = int(input())
m = input()
s = 0
for i in range(n-1):
if m[i] == m[i+1]:
s += 1
print(s)
``` | instruction | 0 | 94,678 | 7 | 189,356 |
Yes | output | 1 | 94,678 | 7 | 189,357 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0
Submitted Solution:
```
n = input()
ent = input()
lista = []
for e in ent:
lista.append(e)
cont = 0
for i in range(len(lista)-1, 0, -1):
if lista[i] == lista[i-1]:
cont+= 1
print(cont)
``` | instruction | 0 | 94,679 | 7 | 189,358 |
Yes | output | 1 | 94,679 | 7 | 189,359 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0
Submitted Solution:
```
n=int(input())
m=input()
a=[]
r,b,g=0,0,0
for i in m:
if(i=="R"):
r=r+1
b=0
g=0
if(r>1):
a.append(r)
elif(i=="B"):
b=b+1
r=0
g=0
if(b>1):
a.append(b)
else:
g=g+1
r=0
g=0
if(g>1):
a.append(g)
if(len(a)>0):
print(max(a)-1)
else:
print("0")
``` | instruction | 0 | 94,680 | 7 | 189,360 |
No | output | 1 | 94,680 | 7 | 189,361 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0
Submitted Solution:
```
n = int(input())
st = input()
count = 0
for i in range (1,n):
if st[i-1] == st[i]:
count +=i
print (count )
``` | instruction | 0 | 94,681 | 7 | 189,362 |
No | output | 1 | 94,681 | 7 | 189,363 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0
Submitted Solution:
```
num = int(input())
string = input()
i = 1
while i < len(string):
print(string)
if string[i] == string[i - 1]:
if i != len(string) - 1:
string = string[:i] + string[i + 1:]
else:
string = string[:i]
else:
i += 1
print(num - len(string))
``` | instruction | 0 | 94,682 | 7 | 189,364 |
No | output | 1 | 94,682 | 7 | 189,365 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input
The first line contains integer n (1 ≤ n ≤ 50) — the number of stones on the table.
The next line contains string s, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to n from left to right. Then the i-th character s equals "R", if the i-th stone is red, "G", if it's green and "B", if it's blue.
Output
Print a single integer — the answer to the problem.
Examples
Input
3
RRG
Output
1
Input
5
RRRRR
Output
4
Input
4
BRBG
Output
0
Submitted Solution:
```
_=input('')
word=input('')
ct = 0
ct += word.count('RR')
ct += word.count('BB')
ct += word.count('GG')
print(ct)
``` | instruction | 0 | 94,683 | 7 | 189,366 |
No | output | 1 | 94,683 | 7 | 189,367 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya have invented a new game. Vasya takes a stripe consisting of 1 × n square and paints the squares black and white. After that Petya can start moves — during a move he may choose any two neighboring squares of one color and repaint these two squares any way he wants, perhaps in different colors. Petya can only repaint the squares in white and black colors. Petya’s aim is to repaint the stripe so that no two neighboring squares were of one color. Help Petya, using the given initial coloring, find the minimum number of moves Petya needs to win.
Input
The first line contains number n (1 ≤ n ≤ 1000) which represents the stripe’s length. The second line contains exactly n symbols — the line’s initial coloring. 0 corresponds to a white square, 1 corresponds to a black one.
Output
If Petya cannot win with such an initial coloring, print -1. Otherwise print the minimum number of moves Petya needs to win.
Examples
Input
6
111010
Output
1
Input
5
10001
Output
1
Input
7
1100010
Output
2
Input
5
00100
Output
2
Note
In the first sample Petya can take squares 1 and 2. He repaints square 1 to black and square 2 to white.
In the second sample Petya can take squares 2 and 3. He repaints square 2 to white and square 3 to black. | instruction | 0 | 94,784 | 7 | 189,568 |
Tags: brute force, dp, implementation
Correct Solution:
```
n = int(input())
stripe = list(input())
for i in range(n):
stripe[i] = int(stripe[i])
w = 0
b = 0
for i in range(n):
if i % 2 == stripe[i] - 0:
w += 1
else:
b += 1
answer = min (w, b)
print(answer)
``` | output | 1 | 94,784 | 7 | 189,569 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya have invented a new game. Vasya takes a stripe consisting of 1 × n square and paints the squares black and white. After that Petya can start moves — during a move he may choose any two neighboring squares of one color and repaint these two squares any way he wants, perhaps in different colors. Petya can only repaint the squares in white and black colors. Petya’s aim is to repaint the stripe so that no two neighboring squares were of one color. Help Petya, using the given initial coloring, find the minimum number of moves Petya needs to win.
Input
The first line contains number n (1 ≤ n ≤ 1000) which represents the stripe’s length. The second line contains exactly n symbols — the line’s initial coloring. 0 corresponds to a white square, 1 corresponds to a black one.
Output
If Petya cannot win with such an initial coloring, print -1. Otherwise print the minimum number of moves Petya needs to win.
Examples
Input
6
111010
Output
1
Input
5
10001
Output
1
Input
7
1100010
Output
2
Input
5
00100
Output
2
Note
In the first sample Petya can take squares 1 and 2. He repaints square 1 to black and square 2 to white.
In the second sample Petya can take squares 2 and 3. He repaints square 2 to white and square 3 to black. | instruction | 0 | 94,785 | 7 | 189,570 |
Tags: brute force, dp, implementation
Correct Solution:
```
n=int(input())
s=input()
t=0
for i in range(n):
if (i+1)%2==0 and s[i]=="1" or (i+1)%2==1 and s[i]=="0":
t+=1
print(min(t,n-t))
``` | output | 1 | 94,785 | 7 | 189,571 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya have invented a new game. Vasya takes a stripe consisting of 1 × n square and paints the squares black and white. After that Petya can start moves — during a move he may choose any two neighboring squares of one color and repaint these two squares any way he wants, perhaps in different colors. Petya can only repaint the squares in white and black colors. Petya’s aim is to repaint the stripe so that no two neighboring squares were of one color. Help Petya, using the given initial coloring, find the minimum number of moves Petya needs to win.
Input
The first line contains number n (1 ≤ n ≤ 1000) which represents the stripe’s length. The second line contains exactly n symbols — the line’s initial coloring. 0 corresponds to a white square, 1 corresponds to a black one.
Output
If Petya cannot win with such an initial coloring, print -1. Otherwise print the minimum number of moves Petya needs to win.
Examples
Input
6
111010
Output
1
Input
5
10001
Output
1
Input
7
1100010
Output
2
Input
5
00100
Output
2
Note
In the first sample Petya can take squares 1 and 2. He repaints square 1 to black and square 2 to white.
In the second sample Petya can take squares 2 and 3. He repaints square 2 to white and square 3 to black. | instruction | 0 | 94,786 | 7 | 189,572 |
Tags: brute force, dp, implementation
Correct Solution:
```
import sys
from array import array # noqa: F401
from itertools import product
def input():
return sys.stdin.buffer.readline().decode('utf-8')
n = int(input())
s = list(map(int, input().rstrip()))
if n <= 2:
if n == 1 or s[0] != s[1]:
print(0)
else:
print(1)
exit()
inf = 10**9
dp = [inf] * 4
dp[2 * s[0] + s[1]] = 0
for index, d in enumerate(s[2:], start=2):
next_dp = [inf] * 4
for i, j in product((0, 2), (0, 1)):
if i == j * 2:
next_dp[(j ^ 1) * 2 + d] = min(next_dp[(j ^ 1) * 2 + d], dp[i + j] + 1, dp[i + j] + index - 1)
next_dp[j * 2 + d] = min(next_dp[j * 2 + d], dp[i + j] + index - 1)
else:
next_dp[j * 2 + d] = min(next_dp[j * 2 + d], dp[i + j])
if j == d:
next_dp[(j ^ 1) * 2 + d] = min(next_dp[(j ^ 1) * 2 + d], dp[i + j] + index)
dp = next_dp
ans = min(
dp[0] + 1,
dp[1],
dp[2],
dp[3] + 1
)
print(ans if ans < inf else -1)
``` | output | 1 | 94,786 | 7 | 189,573 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya have invented a new game. Vasya takes a stripe consisting of 1 × n square and paints the squares black and white. After that Petya can start moves — during a move he may choose any two neighboring squares of one color and repaint these two squares any way he wants, perhaps in different colors. Petya can only repaint the squares in white and black colors. Petya’s aim is to repaint the stripe so that no two neighboring squares were of one color. Help Petya, using the given initial coloring, find the minimum number of moves Petya needs to win.
Input
The first line contains number n (1 ≤ n ≤ 1000) which represents the stripe’s length. The second line contains exactly n symbols — the line’s initial coloring. 0 corresponds to a white square, 1 corresponds to a black one.
Output
If Petya cannot win with such an initial coloring, print -1. Otherwise print the minimum number of moves Petya needs to win.
Examples
Input
6
111010
Output
1
Input
5
10001
Output
1
Input
7
1100010
Output
2
Input
5
00100
Output
2
Note
In the first sample Petya can take squares 1 and 2. He repaints square 1 to black and square 2 to white.
In the second sample Petya can take squares 2 and 3. He repaints square 2 to white and square 3 to black. | instruction | 0 | 94,787 | 7 | 189,574 |
Tags: brute force, dp, implementation
Correct Solution:
```
n = int(input())
s = input()
l = []
for i in range(n):
l.append(int(s[i]))
ans = 0
for i in range(1, n):
if l[i] == l[i-1]:
l[i] ^= 1
ans = ans+1
print(min(ans, n-ans))
# Made By Mostafa_Khaled
``` | output | 1 | 94,787 | 7 | 189,575 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya have invented a new game. Vasya takes a stripe consisting of 1 × n square and paints the squares black and white. After that Petya can start moves — during a move he may choose any two neighboring squares of one color and repaint these two squares any way he wants, perhaps in different colors. Petya can only repaint the squares in white and black colors. Petya’s aim is to repaint the stripe so that no two neighboring squares were of one color. Help Petya, using the given initial coloring, find the minimum number of moves Petya needs to win.
Input
The first line contains number n (1 ≤ n ≤ 1000) which represents the stripe’s length. The second line contains exactly n symbols — the line’s initial coloring. 0 corresponds to a white square, 1 corresponds to a black one.
Output
If Petya cannot win with such an initial coloring, print -1. Otherwise print the minimum number of moves Petya needs to win.
Examples
Input
6
111010
Output
1
Input
5
10001
Output
1
Input
7
1100010
Output
2
Input
5
00100
Output
2
Note
In the first sample Petya can take squares 1 and 2. He repaints square 1 to black and square 2 to white.
In the second sample Petya can take squares 2 and 3. He repaints square 2 to white and square 3 to black. | instruction | 0 | 94,788 | 7 | 189,576 |
Tags: brute force, dp, implementation
Correct Solution:
```
input()
a = list(input())
l = len(a)
if l % 2 == 0:
s = list("10" * (l // 2))
d = list("01" * (l // 2))
else:
s = list("10" * (l // 2) + "1")
d = list("01" * (l // 2) + "0")
d_s = 0
d_d = 0
for i in range(len(a)):
if a[i] != s[i]:
d_s += 1
if a[i] != d[i]:
d_d += 1
print(min(d_s,d_d))
``` | output | 1 | 94,788 | 7 | 189,577 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya have invented a new game. Vasya takes a stripe consisting of 1 × n square and paints the squares black and white. After that Petya can start moves — during a move he may choose any two neighboring squares of one color and repaint these two squares any way he wants, perhaps in different colors. Petya can only repaint the squares in white and black colors. Petya’s aim is to repaint the stripe so that no two neighboring squares were of one color. Help Petya, using the given initial coloring, find the minimum number of moves Petya needs to win.
Input
The first line contains number n (1 ≤ n ≤ 1000) which represents the stripe’s length. The second line contains exactly n symbols — the line’s initial coloring. 0 corresponds to a white square, 1 corresponds to a black one.
Output
If Petya cannot win with such an initial coloring, print -1. Otherwise print the minimum number of moves Petya needs to win.
Examples
Input
6
111010
Output
1
Input
5
10001
Output
1
Input
7
1100010
Output
2
Input
5
00100
Output
2
Note
In the first sample Petya can take squares 1 and 2. He repaints square 1 to black and square 2 to white.
In the second sample Petya can take squares 2 and 3. He repaints square 2 to white and square 3 to black. | instruction | 0 | 94,789 | 7 | 189,578 |
Tags: brute force, dp, implementation
Correct Solution:
```
n = int(input())
s = input()
l = []
for i in range(n):
l.append(int(s[i]))
ans = 0
for i in range(1, n):
if l[i] == l[i-1]:
l[i] ^= 1
ans = ans+1
print(min(ans, n-ans))
``` | output | 1 | 94,789 | 7 | 189,579 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya have invented a new game. Vasya takes a stripe consisting of 1 × n square and paints the squares black and white. After that Petya can start moves — during a move he may choose any two neighboring squares of one color and repaint these two squares any way he wants, perhaps in different colors. Petya can only repaint the squares in white and black colors. Petya’s aim is to repaint the stripe so that no two neighboring squares were of one color. Help Petya, using the given initial coloring, find the minimum number of moves Petya needs to win.
Input
The first line contains number n (1 ≤ n ≤ 1000) which represents the stripe’s length. The second line contains exactly n symbols — the line’s initial coloring. 0 corresponds to a white square, 1 corresponds to a black one.
Output
If Petya cannot win with such an initial coloring, print -1. Otherwise print the minimum number of moves Petya needs to win.
Examples
Input
6
111010
Output
1
Input
5
10001
Output
1
Input
7
1100010
Output
2
Input
5
00100
Output
2
Note
In the first sample Petya can take squares 1 and 2. He repaints square 1 to black and square 2 to white.
In the second sample Petya can take squares 2 and 3. He repaints square 2 to white and square 3 to black. | instruction | 0 | 94,790 | 7 | 189,580 |
Tags: brute force, dp, implementation
Correct Solution:
```
n = int(input())
seq = input()
seq = [int(x) for x in seq]
count = [[0,0],[0,0]]
for i in range(n):
count[i%2][seq[i]] += 1
m1 = count[0][1] + count[1][0]
m2 = count[0][0] + count[1][1]
print(min(m1,m2))
``` | output | 1 | 94,790 | 7 | 189,581 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya have invented a new game. Vasya takes a stripe consisting of 1 × n square and paints the squares black and white. After that Petya can start moves — during a move he may choose any two neighboring squares of one color and repaint these two squares any way he wants, perhaps in different colors. Petya can only repaint the squares in white and black colors. Petya’s aim is to repaint the stripe so that no two neighboring squares were of one color. Help Petya, using the given initial coloring, find the minimum number of moves Petya needs to win.
Input
The first line contains number n (1 ≤ n ≤ 1000) which represents the stripe’s length. The second line contains exactly n symbols — the line’s initial coloring. 0 corresponds to a white square, 1 corresponds to a black one.
Output
If Petya cannot win with such an initial coloring, print -1. Otherwise print the minimum number of moves Petya needs to win.
Examples
Input
6
111010
Output
1
Input
5
10001
Output
1
Input
7
1100010
Output
2
Input
5
00100
Output
2
Note
In the first sample Petya can take squares 1 and 2. He repaints square 1 to black and square 2 to white.
In the second sample Petya can take squares 2 and 3. He repaints square 2 to white and square 3 to black. | instruction | 0 | 94,791 | 7 | 189,582 |
Tags: brute force, dp, implementation
Correct Solution:
```
n=int(input())
def hamming(a,b):
global n
ret=0
for i in range(n):
ret+=int(a[i]!=b[i])
return ret
s=input()
a=['0' if q%2==0 else '1' for q in range(n)]
b=['0' if q%2==1 else '1' for q in range(n)]
print(min(hamming(s,a),hamming(s,b)))
``` | output | 1 | 94,791 | 7 | 189,583 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya and Petya have invented a new game. Vasya takes a stripe consisting of 1 × n square and paints the squares black and white. After that Petya can start moves — during a move he may choose any two neighboring squares of one color and repaint these two squares any way he wants, perhaps in different colors. Petya can only repaint the squares in white and black colors. Petya’s aim is to repaint the stripe so that no two neighboring squares were of one color. Help Petya, using the given initial coloring, find the minimum number of moves Petya needs to win.
Input
The first line contains number n (1 ≤ n ≤ 1000) which represents the stripe’s length. The second line contains exactly n symbols — the line’s initial coloring. 0 corresponds to a white square, 1 corresponds to a black one.
Output
If Petya cannot win with such an initial coloring, print -1. Otherwise print the minimum number of moves Petya needs to win.
Examples
Input
6
111010
Output
1
Input
5
10001
Output
1
Input
7
1100010
Output
2
Input
5
00100
Output
2
Note
In the first sample Petya can take squares 1 and 2. He repaints square 1 to black and square 2 to white.
In the second sample Petya can take squares 2 and 3. He repaints square 2 to white and square 3 to black.
Submitted Solution:
```
n=int(input())
x=str(input())
dp1,dp2=0,0
for i in range(n):
if i%2==0:
if x[i]=="0":
dp1+=1
else:
dp2+=1
if i%2==1:
if x[i]=="0":
dp2+=1
else:
dp1+=1
print(min(dp1,dp2))
``` | instruction | 0 | 94,792 | 7 | 189,584 |
Yes | output | 1 | 94,792 | 7 | 189,585 |
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