message stringlengths 2 44.5k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A positive integer X is said to be a lunlun number if and only if the following condition is satisfied:
* In the base ten representation of X (without leading zeros), for every pair of two adjacent digits, the absolute difference of those digits is at most 1.
For example, 1234, 1, and 334 are lunlun numbers, while none of 31415, 119, or 13579 is.
You are given a positive integer K. Find the K-th smallest lunlun number.
Constraints
* 1 \leq K \leq 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the answer.
Examples
Input
15
Output
23
Input
1
Output
1
Input
13
Output
21
Input
100000
Output
3234566667
Submitted Solution:
```
k=int(input())
l=list(range(1,10))
for i in l:
for j in range(max(i%10-1,0),min(i%10+2,10)):
l.append(i*10+j)
if len(l)>k:
break
print(l[k-1])
``` | instruction | 0 | 45,183 | 5 | 90,366 |
Yes | output | 1 | 45,183 | 5 | 90,367 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A positive integer X is said to be a lunlun number if and only if the following condition is satisfied:
* In the base ten representation of X (without leading zeros), for every pair of two adjacent digits, the absolute difference of those digits is at most 1.
For example, 1234, 1, and 334 are lunlun numbers, while none of 31415, 119, or 13579 is.
You are given a positive integer K. Find the K-th smallest lunlun number.
Constraints
* 1 \leq K \leq 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
K
Output
Print the answer.
Examples
Input
15
Output
23
Input
1
Output
1
Input
13
Output
21
Input
100000
Output
3234566667
Submitted Solution:
```
K=int(input())
from collections import deque
q=deque([1,2,3,4,5,6,7,8,9])
for k in range(K):
x=q.popleft()
if x%10!=0:
q.append(10*x+(x%10-1))
q.append(10*x+(x%10))
if x%10!=9:
q.append(10*x+(x%10+1))
print(x)
``` | instruction | 0 | 45,185 | 5 | 90,370 |
Yes | output | 1 | 45,185 | 5 | 90,371 |
Provide a correct Python 3 solution for this coding contest problem.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654 | instruction | 0 | 45,223 | 5 | 90,446 |
"Correct Solution:
```
n,m,*a=map(int,open(0).read().split())
d=[0]*-~n
for i in range(1,n+1):
for j,k in zip((1,2,3,4,5,6,7,8,9),(2,5,5,4,5,6,3,7,6)):
if j in a and i-k>=0and(i-k<1or d[i-k]):d[i]=max(d[i],d[i-k]*10+j)
print(d[n])
``` | output | 1 | 45,223 | 5 | 90,447 |
Provide a correct Python 3 solution for this coding contest problem.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654 | instruction | 0 | 45,224 | 5 | 90,448 |
"Correct Solution:
```
n,m=map(int,input().split())
A=list(map(int,input().split()))
N=[0,2,5,5,4,5,6,3,7,6]
X=[]
dp=[0]+[-1]*n*9
for i in range(n):
for j in A:
if dp[i]>=0:
dp[i+N[j]]=max(dp[i+N[j]],dp[i]*10+j)
print(dp[n])
``` | output | 1 | 45,224 | 5 | 90,449 |
Provide a correct Python 3 solution for this coding contest problem.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654 | instruction | 0 | 45,225 | 5 | 90,450 |
"Correct Solution:
```
match, _ = [int(item) for item in input().split()]
kind = sorted([int(item) for item in input().split()])
use = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]
dp = [-1] * int(match + 1)
dp[0] = 0
for i in range (match + 1):
for k in kind:
if i < use[k]:
continue
dp[i] = max(dp[i], dp[i - use[k]] * 10 + k)
print(dp[match])
``` | output | 1 | 45,225 | 5 | 90,451 |
Provide a correct Python 3 solution for this coding contest problem.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654 | instruction | 0 | 45,226 | 5 | 90,452 |
"Correct Solution:
```
n, m = map(int, input().split())
a = list(map(int, input().split()))
a.sort()
use = [0, 2,5,5,4,5,6,3,7,6]
dp = [None for _ in range(n+1)]
dp[0] = 0
for i in range(0, n+1):
for j in a:
if i+ use[j] < n+1 and dp[i] != None:
if dp[i+use[j]] == None:
dp[i+use[j]] = dp[i]*10+j
else:
dp[i+use[j]] = max(dp[i]*10+j, dp[i+use[j]])
print(dp[n])
``` | output | 1 | 45,226 | 5 | 90,453 |
Provide a correct Python 3 solution for this coding contest problem.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654 | instruction | 0 | 45,227 | 5 | 90,454 |
"Correct Solution:
```
N, M = map(int, input().split())
A = list(map(int, input().split()))
dict = dict(zip([i for i in range(1, 10)], [2, 5, 5, 4, 5, 6, 3, 7, 6]))
INF = 10 ** (N // 2 + 1)
dp = [-INF for i in range(N + 21)]
for a in A:
dp[dict[a]] = max(dp[dict[a]], a)
for i in range(N + 1):
for j in range(1, 10):
dp[i] = max(dp[i], dp[i - j] * 10 + dp[j], dp[j] * 10 + dp[i - j])
print(dp[N])
``` | output | 1 | 45,227 | 5 | 90,455 |
Provide a correct Python 3 solution for this coding contest problem.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654 | instruction | 0 | 45,228 | 5 | 90,456 |
"Correct Solution:
```
n, m = map(int, input().split())
*a, = map(int, input().split())
sorted_a = sorted(a, reverse=True)
needs = [9,2,5,5,4,5,6,3,7,6]
table = [-1] * (n+10)
table[0] = 0
for i in range(n):
if table[i] != -1:
for j in sorted_a:
table[i + needs[j]] = max(table[i]*10 + j, table[i + needs[j]])
print(table[n])
``` | output | 1 | 45,228 | 5 | 90,457 |
Provide a correct Python 3 solution for this coding contest problem.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654 | instruction | 0 | 45,229 | 5 | 90,458 |
"Correct Solution:
```
n,m = map(int,input().split())
a = list(map(int,input().split()))
w = [2,5,5,4,5,6,3,7,6]
min_w = 10
for i in a:
min_w = min(min_w,w[i-1])
dp = [0 for i in range(n+1)]
for i in range(0,n):
if 1 <= i < min_w:
dp[i] = -1
for j in a:
if i + 1 - w[j-1] >= 0 and dp[i + 1 - w[j-1]] != -1:
dp[i+1] = max(dp[i+1],dp[i+1-w[j-1]]*10+j)
print(dp[n])
``` | output | 1 | 45,229 | 5 | 90,459 |
Provide a correct Python 3 solution for this coding contest problem.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654 | instruction | 0 | 45,230 | 5 | 90,460 |
"Correct Solution:
```
N, M = map(int, input().split())
A = list(map(int, input().split()))
numbers = [None, 2, 5, 5, 4, 5, 6, 3, 7, 6]
dp = {i: -1 for i in range(N+1)}
dp[0] = 0
for i in range(N+1):
for a in A:
j = i + numbers[a]
if j <= N:
dp[j] = max(dp[j], dp[i]*10 + a)
print(dp[N])
``` | output | 1 | 45,230 | 5 | 90,461 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654
Submitted Solution:
```
n, _ = map(int, input().split())
L = list(map(int, input().split()))
weight = [0, 2, 5, 5, 4, 5, 6, 3, 7, 6]
dp = [-1] * (n+1)
dp[0] = 0
for i in range(n+1):
for a in L:
if i+weight[a] < n+1:
dp[i+weight[a]] = max(dp[i+weight[a]], dp[i]*10+a)
print(dp[n])
``` | instruction | 0 | 45,231 | 5 | 90,462 |
Yes | output | 1 | 45,231 | 5 | 90,463 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654
Submitted Solution:
```
n, m = map(int, input().split())
a = list(map(int, input().split()))
maxnum = [-1] * (n+1)
cost = [0,2,5,5,4,5,6,3,7,6]
maxnum[0] = 0
for i in range(n+1):
for num in a:
if ( i+cost[num] < n+1 ):
maxnum[i+cost[num]] = max(maxnum[i+cost[num]], num + maxnum[i]*10)
print(maxnum[n])
``` | instruction | 0 | 45,232 | 5 | 90,464 |
Yes | output | 1 | 45,232 | 5 | 90,465 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654
Submitted Solution:
```
n,m=map(int,input().split())
a=list(map(int,input().split()))
dp=[0]+[-1]*(9*n)
l=[0,2,5,5,4,5,6,3,7,6]
for i in range(n):
for j in a:
if dp[i]>=0:
dp[i+l[j]]=max(dp[i+l[j]],dp[i]*10+j)
print(dp[n])
``` | instruction | 0 | 45,233 | 5 | 90,466 |
Yes | output | 1 | 45,233 | 5 | 90,467 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654
Submitted Solution:
```
n,m=map(int,input().split())
*a,=map(int,input().split())
cost={1:2,2:5,3:5,4:4,5:5,6:6,7:3,8:7,9:6}
dp=[-1]*(n+1)
v=[0]*(n+1)
dp[0]=0
for i in range(1,n+1):
for j in range(10)[::-1]:
if not j in a or i<cost[j]:continue
if dp[i]<dp[i-cost[j]]+1:
dp[i]=dp[i-cost[j]]+1
v[i]=j
p=n
while p!=0:
print(v[p],end="")
p-=cost[v[p]]
print()
``` | instruction | 0 | 45,234 | 5 | 90,468 |
Yes | output | 1 | 45,234 | 5 | 90,469 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654
Submitted Solution:
```
import sys
stdin = sys.stdin
sys.setrecursionlimit(10 ** 7)
def li(): return map(int, stdin.readline().split())
def li_(): return map(lambda x: int(x) - 1, stdin.readline().split())
def lf(): return map(float, stdin.readline().split())
def ls(): return stdin.readline().split()
def ns(): return stdin.readline().rstrip()
def lc(): return list(ns())
def ni(): return int(stdin.readline())
def nf(): return float(stdin.readline())
num_cost = {1: 2,
2: 5,
3: 5,
4: 4,
5: 5,
6: 6,
7: 3,
8: 6,
9: 5}
chosen = {}
n, m = li()
a = list(li())
for ai in a:
chosen[str(ai)] = num_cost[ai]
dp = ["ng"]*(n+1)
dp[0] = ""
for i in range(n):
if dp[i] == "ng":
continue
for num, cost in chosen.items():
if i + cost <= n and dp[i+cost] == "ng":
dp[i+cost] = num + dp[i]
elif i + cost <= n:
if len(dp[i+cost]) < len(dp[i]) + 1:
dp[i+cost] = num + dp[i]
elif len(dp[i+cost]) > len(dp[i]) + 1:
dp[i+cost] = dp[i+cost]
else:
dp[i+cost] = max(dp[i+cost],
"".join(sorted(num+dp[i])))
print(dp[n])
``` | instruction | 0 | 45,235 | 5 | 90,470 |
No | output | 1 | 45,235 | 5 | 90,471 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654
Submitted Solution:
```
n,m=map(int,input().split())
a=list(map(int,input().split()))
#1 2 3 4 5 6 7 8 9
#2 5 5 4 5 6 3 7 6
cost=[0,2,5,5,4,5,6,3,7,6]
cost2v={}
use=[]
for aa in a:
if cost[aa] in cost2v:
cost2v[cost[aa]]=max(cost2v[cost[aa]],aa)
else:
cost2v[cost[aa]]=aa
use.append(cost[aa])
use.sort()
keta=n//use[0]
amari=n%use[0]
if amari==0:
print(str(cost2v[use[0]])*keta)
exit()
else:
i=1
ans=[]
flag=0
tmp=amari+use[0]*1
for item in use:
if item==tmp:
if cost2v[item]>cost2v[use[0]]:
print(str(cost2v[item])+str(cost2v[use[0]])*(keta-1))
exit()
else:
print(str(cost2v[use[0]])*(keta-1)+str(cost2v[item]))
exit()
tmp=amari+use[0]*2
for item1 in use:
for item2 in use:
if item1+item2==tmp:
if cost2v[item1]>=cost2v[item2] and cost2v[item2]>cost2v[use[0]]:
print(str(cost2v[item1])+str(cost2v[item2])+str(cost2v[use[0]])*(keta-2))
exit()
if cost2v[item2]>=cost2v[item1] and cost2v[item1]>cost2v[use[0]]:
print(str(cost2v[item2])+str(cost2v[item1])+str(cost2v[use[0]])*(keta-2))
exit()
if cost2v[item1]>cost2v[use[0]] and cost2v[use[0]]>cost2v[item2]:
print(str(cost2v[item1])+str(cost2v[use[0]])*(keta-2)+str(cost2v[item2]))
exit()
if cost2v[item2]>cost2v[use[0]] and cost2v[use[0]]>cost2v[item1]:
print(str(cost2v[item2])+str(cost2v[use[0]])*(keta-2)+str(cost2v[item1]))
exit()
if cost2v[use[0]] >cost2v[item1]and cost2v[item1]>=cost2v[item2]:
print(str(cost2v[use[0]])*(keta-2)+str(cost2v[item1])+str(cost2v[item2]))
exit()
if cost2v[use[0]] >cost2v[item2]and cost2v[item2]>=cost2v[item1]:
print(str(cost2v[use[0]])*(keta-2)+str(cost2v[item2])+str(cost2v[item1]))
exit()
``` | instruction | 0 | 45,236 | 5 | 90,472 |
No | output | 1 | 45,236 | 5 | 90,473 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654
Submitted Solution:
```
N, M = map( int, input().split())
A = list( map( int, input().split()))
Needs = [0,2,5,5,4,5,6,3,7,6]
A.sort(reverse = True)
V = [0]*10
Check = []
for a in A:
if V[Needs[a]] == 0:
Check.append(Needs[a])
V[Needs[a]] = a
Check.sort()
dp = [-100000]*(N+1)
dp[0] = 0
for x in Check:
dp[x] = 1
for i in range(1,N):
t = dp[i]
for x in Check:
if x + i <= N:
if dp[x+i] < t + 1:
dp[x+i] = t+1
ans = ""
t = N
W = [0]*10
while t > 0:
for a in A:
x = Needs[a]
if dp[t-x]+1 == dp[t]:
W[V[x]] += 1
t -= x
break
for i in range(9,0,-1):
ans += str(i)*W[i]
print(ans)
``` | instruction | 0 | 45,237 | 5 | 90,474 |
No | output | 1 | 45,237 | 5 | 90,475 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the largest integer that can be formed with exactly N matchsticks, under the following conditions:
* Every digit in the integer must be one of the digits A_1, A_2, ..., A_M (1 \leq A_i \leq 9).
* The number of matchsticks used to form digits 1, 2, 3, 4, 5, 6, 7, 8, 9 should be 2, 5, 5, 4, 5, 6, 3, 7, 6, respectively.
Constraints
* All values in input are integers.
* 2 \leq N \leq 10^4
* 1 \leq M \leq 9
* 1 \leq A_i \leq 9
* A_i are all different.
* There exists an integer that can be formed by exactly N matchsticks under the conditions.
Input
Input is given from Standard Input in the following format:
N M
A_1 A_2 ... A_M
Output
Print the largest integer that can be formed with exactly N matchsticks under the conditions in the problem statement.
Examples
Input
20 4
3 7 8 4
Output
777773
Input
101 9
9 8 7 6 5 4 3 2 1
Output
71111111111111111111111111111111111111111111111111
Input
15 3
5 4 6
Output
654
Submitted Solution:
```
import sys
sys.setrecursionlimit(10**9)
N,M=map(int,input().split())
A=list(map(int,input().split()))
M=[0,2,5,5,4,5,6,3,7,6]
#まず最高何桁の数にできるか考えよう.
SET_A=set(A)
ANSLIST=[0]
def dfs(i,NOW):
if ANSLIST[0]!=0:
return
ANS=0
if NOW==N:
L=sorted(list(i),reverse=True)
#print(L)
ANSLIST[0]=int(("".join(L)))
return
elif NOW>N:
return
else:
for a in A:
dfs(i+str(a),NOW+M[a])
A.sort(reverse=True)
A.sort(key=lambda x:M[x])
dfs("",0)
x=ANSLIST[0]
stx=str(x)
from collections import Counter
counter=Counter(stx)
import itertools
for i,j,k in list(itertools.combinations(range(1,10),3)):
for l,m,n in list(itertools.combinations(range(1,10),3)):
if i in SET_A and j in SET_A and k in SET_A and l in SET_A and m in SET_A and n in SET_A and M[i]+M[j]+M[k]==M[l]+M[m]+M[n] and \
counter[str(i)]>0 and counter[str(j)]>0 and counter[str(k)]>0 and (n>k or (n==k and m>j) or (n==k and m==j and l>i)):
x=min(counter[str(i)],counter[str(j)],counter[str(k)])
counter[str(i)]-=x
counter[str(j)]-=x
counter[str(k)]-=x
counter[str(l)]+=x
counter[str(m)]+=x
counter[str(n)]+=x
for i,j in list(itertools.combinations(range(1,10),2)):
for l,m in list(itertools.combinations(range(1,10),2)):
if i in SET_A and j in SET_A and l in SET_A and m in SET_A and M[i]+M[j]==M[l]+M[m] and \
counter[str(i)]>0 and counter[str(j)]>0 and (m>j or (m==j and l>i)):
x=min(counter[str(i)],counter[str(j)])
counter[str(i)]-=x
counter[str(j)]-=x
counter[str(l)]+=x
counter[str(m)]+=x
ANS=""
for i in range(9,-1,-1):
ANS+=str(i)*counter[str(i)]
print(ANS)
``` | instruction | 0 | 45,238 | 5 | 90,476 |
No | output | 1 | 45,238 | 5 | 90,477 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a permutation of 1,2,...,N: p_1,p_2,...,p_N. Determine if the state where p_i=i for every i can be reached by performing the following operation any number of times:
* Choose three elements p_{i-1},p_{i},p_{i+1} (2\leq i\leq N-1) such that p_{i-1}>p_{i}>p_{i+1} and reverse the order of these three.
Constraints
* 3 \leq N \leq 3 × 10^5
* p_1,p_2,...,p_N is a permutation of 1,2,...,N.
Input
Input is given from Standard Input in the following format:
N
p_1
:
p_N
Output
If the state where p_i=i for every i can be reached by performing the operation, print `Yes`; otherwise, print `No`.
Examples
Input
5
5
2
1
4
3
Output
Yes
Input
4
3
2
4
1
Output
No
Input
7
3
2
1
6
5
4
7
Output
Yes
Input
6
5
3
4
1
2
6
Output
No
Submitted Solution:
```
N = int(input().strip())
ans = "Yes"
for i in range(1,N+1):
n = int(input().strip())
if(n%2 != i%2):
ans = "No"
print(ans)
``` | instruction | 0 | 45,243 | 5 | 90,486 |
No | output | 1 | 45,243 | 5 | 90,487 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a permutation of 1,2,...,N: p_1,p_2,...,p_N. Determine if the state where p_i=i for every i can be reached by performing the following operation any number of times:
* Choose three elements p_{i-1},p_{i},p_{i+1} (2\leq i\leq N-1) such that p_{i-1}>p_{i}>p_{i+1} and reverse the order of these three.
Constraints
* 3 \leq N \leq 3 × 10^5
* p_1,p_2,...,p_N is a permutation of 1,2,...,N.
Input
Input is given from Standard Input in the following format:
N
p_1
:
p_N
Output
If the state where p_i=i for every i can be reached by performing the operation, print `Yes`; otherwise, print `No`.
Examples
Input
5
5
2
1
4
3
Output
Yes
Input
4
3
2
4
1
Output
No
Input
7
3
2
1
6
5
4
7
Output
Yes
Input
6
5
3
4
1
2
6
Output
No
Submitted Solution:
```
#!/usr/bin/env python3
def main():
n = input()
n = int(n)
f = True
t = 1
x = -1
for i in range(1, n + 1):
p = input()
p = int(p)
if (p + i) % 2 == 1:
f = False
elif p == t:
if x == -1 or x == i:
t = i + 1
x = -1
else:
t = i
else:
if (t + i) % 2 == 0:
if x != -1:
f = False
elif p != i + 2:
x = p
else:
if p != i:
f = False
print('Yes' if f else 'No')
if __name__ == '__main__':
main()
``` | instruction | 0 | 45,244 | 5 | 90,488 |
No | output | 1 | 45,244 | 5 | 90,489 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a permutation of 1,2,...,N: p_1,p_2,...,p_N. Determine if the state where p_i=i for every i can be reached by performing the following operation any number of times:
* Choose three elements p_{i-1},p_{i},p_{i+1} (2\leq i\leq N-1) such that p_{i-1}>p_{i}>p_{i+1} and reverse the order of these three.
Constraints
* 3 \leq N \leq 3 × 10^5
* p_1,p_2,...,p_N is a permutation of 1,2,...,N.
Input
Input is given from Standard Input in the following format:
N
p_1
:
p_N
Output
If the state where p_i=i for every i can be reached by performing the operation, print `Yes`; otherwise, print `No`.
Examples
Input
5
5
2
1
4
3
Output
Yes
Input
4
3
2
4
1
Output
No
Input
7
3
2
1
6
5
4
7
Output
Yes
Input
6
5
3
4
1
2
6
Output
No
Submitted Solution:
```
#!/usr/bin/env python3
def main():
n = input()
n = int(n)
f = True
t = 1
x = -1
for i in range(1, n + 1):
p = input()
p = int(p)
if (p + i) % 2 == 1:
f = False
elif p == t:
if x == -1 or x == i:
t = i + 1
x = -1
else:
t = i
if x == i + 2:
x = -1
else:
if (t + i) % 2 == 0:
if x != -1:
f = False
elif p != i + 2:
x = p
else:
if p != i:
f = False
print('Yes' if f else 'No')
if __name__ == '__main__':
main()
``` | instruction | 0 | 45,245 | 5 | 90,490 |
No | output | 1 | 45,245 | 5 | 90,491 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a permutation of 1,2,...,N: p_1,p_2,...,p_N. Determine if the state where p_i=i for every i can be reached by performing the following operation any number of times:
* Choose three elements p_{i-1},p_{i},p_{i+1} (2\leq i\leq N-1) such that p_{i-1}>p_{i}>p_{i+1} and reverse the order of these three.
Constraints
* 3 \leq N \leq 3 × 10^5
* p_1,p_2,...,p_N is a permutation of 1,2,...,N.
Input
Input is given from Standard Input in the following format:
N
p_1
:
p_N
Output
If the state where p_i=i for every i can be reached by performing the operation, print `Yes`; otherwise, print `No`.
Examples
Input
5
5
2
1
4
3
Output
Yes
Input
4
3
2
4
1
Output
No
Input
7
3
2
1
6
5
4
7
Output
Yes
Input
6
5
3
4
1
2
6
Output
No
Submitted Solution:
```
import sys
N=int(input())
p=[int(input()) for i in range(N)]
s=list(range(1,N+1))
i=1
while i<N:
x=p.index(i)
#print(x)
if i==x+1:
i+=1
continue
elif x<i-1:
break
if (x-i+1)%2!=0:
break
#print(s,i,x)
for j in range(i-1,x,2):
s[j],s[j+2]=s[j+2],s[j]
i=x+2
#print(s,i)
if s==p:
print("Yes")
sys.exit()
#print(s)
s=list(range(1,N+1))
i=N
while i>0:
x=p.index(i)
if i==x+1:
i-=1
continue
elif x>i-1:
break
if (x-i-1)%2!=0:
break
#print(s,i,x)
for j in range(i-1,x,-2):
s[j],s[j-2]=s[j-2],s[j]
i=x
#print(s,i)
if s==p:
print("Yes")
sys.exit()
else:
print("No")
``` | instruction | 0 | 45,246 | 5 | 90,492 |
No | output | 1 | 45,246 | 5 | 90,493 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of digits between `1` and `9`, inclusive. You will insert at most K commas (`,`) into this string to separate it into multiple numbers.
Your task is to minimize the maximum number among those produced by inserting commas. Find minimum possible such value.
Constraints
* 0 ≦ K < |S| ≦ 100,000
* S consists of digits between `1` and `9`, inclusive.
Input
The input is given from Standard Input in the following format:
K
S
Output
Print the minimum possible value.
Examples
Input
2
15267315
Output
315
Input
0
12456174517653111
Output
12456174517653111
Input
8
127356176351764127645176543176531763517635176531278461856198765816581726586715987216581
Output
5317635176
Submitted Solution:
```
k=int(input())
S=str(input())
p=len(S)//(k+1)
q=len(S)%(k+1)
ans=0
if q==0:
for i in range(0,len(S),p):
ans= max(ans,int(S[i:(i+p)]))
print(ans)
``` | instruction | 0 | 45,278 | 5 | 90,556 |
No | output | 1 | 45,278 | 5 | 90,557 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of digits between `1` and `9`, inclusive. You will insert at most K commas (`,`) into this string to separate it into multiple numbers.
Your task is to minimize the maximum number among those produced by inserting commas. Find minimum possible such value.
Constraints
* 0 ≦ K < |S| ≦ 100,000
* S consists of digits between `1` and `9`, inclusive.
Input
The input is given from Standard Input in the following format:
K
S
Output
Print the minimum possible value.
Examples
Input
2
15267315
Output
315
Input
0
12456174517653111
Output
12456174517653111
Input
8
127356176351764127645176543176531763517635176531278461856198765816581726586715987216581
Output
5317635176
Submitted Solution:
```
k=int(input())
S=str(input())
p=len(S)//(k+1)
q=len(S)%(k+1)
ans=0
if q==0:
for i in range(0,len(S),p):
ans= max(ans,int(S[i:(i+p)]))
print(ans)
else:
for i in range(len(S)-(p+1)):
ans= max(ans,int(S[i:(i+p+1)]))
print(ans)
``` | instruction | 0 | 45,279 | 5 | 90,558 |
No | output | 1 | 45,279 | 5 | 90,559 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of digits between `1` and `9`, inclusive. You will insert at most K commas (`,`) into this string to separate it into multiple numbers.
Your task is to minimize the maximum number among those produced by inserting commas. Find minimum possible such value.
Constraints
* 0 ≦ K < |S| ≦ 100,000
* S consists of digits between `1` and `9`, inclusive.
Input
The input is given from Standard Input in the following format:
K
S
Output
Print the minimum possible value.
Examples
Input
2
15267315
Output
315
Input
0
12456174517653111
Output
12456174517653111
Input
8
127356176351764127645176543176531763517635176531278461856198765816581726586715987216581
Output
5317635176
Submitted Solution:
```
K = int(input())
S = input()
if len(S) <= 2:
if K == 0: print(int(S))
else: print(max(int(S[0]), int(S[1])))
else:
print(S[0])
``` | instruction | 0 | 45,280 | 5 | 90,560 |
No | output | 1 | 45,280 | 5 | 90,561 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of digits between `1` and `9`, inclusive. You will insert at most K commas (`,`) into this string to separate it into multiple numbers.
Your task is to minimize the maximum number among those produced by inserting commas. Find minimum possible such value.
Constraints
* 0 ≦ K < |S| ≦ 100,000
* S consists of digits between `1` and `9`, inclusive.
Input
The input is given from Standard Input in the following format:
K
S
Output
Print the minimum possible value.
Examples
Input
2
15267315
Output
315
Input
0
12456174517653111
Output
12456174517653111
Input
8
127356176351764127645176543176531763517635176531278461856198765816581726586715987216581
Output
5317635176
Submitted Solution:
```
k=int(input())
s=input()
a=0;b=int(s)
while a!=b:
t=(a+b)//2
if b-a==1:t=a
x=str(t)
pos=0;i=0
while pos<len(s) and i<=k+1:
y=s[pos:pos+len(x)]
pos+=len(y)
if len(y)>=len(x) and y>x:pos-=1
i+=1
if i>k+1:a=t+1
else:b=t
print(a)
``` | instruction | 0 | 45,281 | 5 | 90,562 |
No | output | 1 | 45,281 | 5 | 90,563 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
4 4
1 2 3
1 3 3
2 3 3
2 4 3
Output
1 3 | instruction | 0 | 45,334 | 5 | 90,668 |
"Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**13
mod = 10**9+7
dd = [(-1,0),(0,1),(1,0),(0,-1)]
ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)]
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)
class UnionFind:
def __init__(self, size):
self.table = [-1 for _ in range(size)]
def find(self, x):
if self.table[x] < 0:
return x
else:
self.table[x] = self.find(self.table[x])
return self.table[x]
def union(self, x, y):
s1 = self.find(x)
s2 = self.find(y)
if s1 != s2:
if self.table[s1] <= self.table[s2]:
self.table[s1] += self.table[s2]
self.table[s2] = s1
else:
self.table[s2] += self.table[s1]
self.table[s1] = s2
return True
return False
def subsetall(self):
a = []
for i in range(len(self.table)):
if self.table[i] < 0:
a.append((i, -self.table[i]))
return a
def main():
rr = []
def f(n,m):
ee = [LI() + [_] for _ in range(m)]
e = sorted(ee, key=lambda x: [x[2], x[3]])
s = []
ns = []
uf = UnionFind(n+1)
t = 0
ttc = 0
for a,b,c,i in e:
if uf.union(a,b):
s.append(i)
t += c
ttc += 1
else:
ns.append((a,b,c))
r = 0
rc = 0
for si in s:
tr = 0
tc = 0
uf = UnionFind(n+1)
w = ee[si][2]
for sj in s:
if si == sj:
continue
uf.union(ee[sj][0],ee[sj][1])
sf = True
for a,b,c in ns:
if c == w and uf.union(a,b):
sf = False
break
if sf:
rc += 1
r += w
return '{} {}'.format(rc, r)
while 1:
n,m = LI()
if n == 0:
break
rr.append(f(n,m))
break
return '\n'.join(map(str,rr))
print(main())
``` | output | 1 | 45,334 | 5 | 90,669 |
Provide a correct Python 3 solution for this coding contest problem.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125 | instruction | 0 | 45,346 | 5 | 90,692 |
"Correct Solution:
```
from pprint import pprint
n = int(input().strip())
for i in range(n):
line = input().strip().split()
if i == 0:
mat = [int(line[0]), int(line[1])]
else:
mat.append(int(line[1]))
#pprint(mat)
dp = [[-999999999] * (n+1) for _ in range(n+1)]
for i in range(n+1):
dp[i][i] = 0
for i in range(n, 0, -1):
for j in range(i+1, n+1):
#for k in range(i, j):
# print(i, k, j)
# print((i, k), (k+1, j), dp[i][k], dp[k+1][j])
# print(dp[i][k], dp[k-1][j], mat[i-1] * mat[k] * mat[j])
# assert(dp[i][k] >= 0)
# assert(dp[i+j-k][j] >= 0)
dp[i][j] = min(dp[i][k] + dp[k+1][j] + mat[i-1] * mat[k] * mat[j] for k in range(i, j))
#print("--")
#pprint(dp)
print(dp[1][n])
``` | output | 1 | 45,346 | 5 | 90,693 |
Provide a correct Python 3 solution for this coding contest problem.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125 | instruction | 0 | 45,347 | 5 | 90,694 |
"Correct Solution:
```
n = int(input())
A = [list(map(int, input().split())) for i in range(n)]
ans = [[None for i in range(n)] for j in range(n)]
# for文で動的計画法
def dp1(i, j):
if ans[i][j] is not None:
return ans[i][j]
else:
if i == j:
ans[i][j] = 0
else:
ret = float('INF')
for k in range(i, j):
tmp = dp1(i, k) + A[i][0]*A[k][1]*A[j][1] + dp1(k+1, j)
ret = min(ret, tmp)
ans[i][j] = ret
return ans[i][j]
print(dp1(0, n-1))
``` | output | 1 | 45,347 | 5 | 90,695 |
Provide a correct Python 3 solution for this coding contest problem.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125 | instruction | 0 | 45,348 | 5 | 90,696 |
"Correct Solution:
```
def matrixChainMultiplication(M):
# P ??????
n = len(M)
P = [M[0][0]]
P += [M[i][1] for i in range(n)]
# ?¨???¶?????? m ??????
m = [[[] for _ in range(n + 1)] for _ in range(n + 1)]
for i in range(n + 1):
m[i][i] = 0
# l???????±???¨?????????????????°
for l in range(2, n + 1):
for i in range(1, n - l + 2):
j = i + l - 1
m[i][j] = 9999999999999999
for k in range(i, j):
m[i][j] = min(m[i][j], m[i][k] + m[k + 1][j] + P[i -1] * P[k] * P[j])
return m[1][n]
if __name__ == '__main__':
n = int(input())
M = [list(map(int, input().split())) for _ in range(n)]
print(matrixChainMultiplication(M))
``` | output | 1 | 45,348 | 5 | 90,697 |
Provide a correct Python 3 solution for this coding contest problem.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125 | instruction | 0 | 45,349 | 5 | 90,698 |
"Correct Solution:
```
n = int(input())
rc = [[0, 0]]+[list(map(int, input().split())) for i in range(n)]
m = [[0]*(n+1) for _ in range(n+1)]
for l in range(2, n+1):
for i in range(1, n-l+2):
j = i+l-1
m[i][j] = 2**64
for k in range(i, j):
m[i][j] = min([
m[i][j],
m[i][k]+m[k+1][j]+rc[i][0]*rc[k+1][0]*rc[j][1]
])
print(m[1][n])
``` | output | 1 | 45,349 | 5 | 90,699 |
Provide a correct Python 3 solution for this coding contest problem.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125 | instruction | 0 | 45,350 | 5 | 90,700 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
N = int(input())
p = [0 for _ in range(N+1)]
p[0], p[1] = map(int, input().split())
for n in range(2, N+1):
p[n] = list(map(int, input().split()))[1]
M = [[0]*(N+1) for _ in range(N+1)]
for n in range(N+1):
M[n][n] = 0
for l in range(2, N+1):
for i in range(1, N-l+2):
j = i + l - 1
M[i][j] = float("inf")
for k in range(i, j):
M[i][j] = min(M[i][j], M[i][k] + M[k+1][j] + p[i-1]*p[k]*p[j])
print(M[1][N])
``` | output | 1 | 45,350 | 5 | 90,701 |
Provide a correct Python 3 solution for this coding contest problem.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125 | instruction | 0 | 45,351 | 5 | 90,702 |
"Correct Solution:
```
import sys
N = 100
n = int(input())
p = [0]*(N+1)
m = [list([0]*(N+1)) for _ in range(N+1)]
for i in range(n):
p[i],p[i+1]=map(int,input().split())
for l in range(2,n+1):
for i in range(1,n-l+2):
j = i+l-1
m[i][j]=sys.maxsize
for k in range(i,j):
m[i][j] = min(m[i][j],m[i][k] + m[k+1][j] + p[i-1] *p[k]*p[j])
print(m[1][n])
``` | output | 1 | 45,351 | 5 | 90,703 |
Provide a correct Python 3 solution for this coding contest problem.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125 | instruction | 0 | 45,352 | 5 | 90,704 |
"Correct Solution:
```
def memoize(f):
cache = {}
def helper(x):
if x not in cache:
cache[x] = f(x)
return cache[x]
return helper
def split_rc(rc):
for i in range(1, len(rc)):
yield rc[:i], rc[i:]
@memoize
def cost(rc):
if len(rc) == 1:
return 0
return min(calc_cost(first, second) for first, second in split_rc(rc))
def calc_cost(first, second):
return cost(first) + cost(second) + first[0][0] * first[-1][1] * second[-1][1]
n = int(input())
rc = tuple(tuple(map(int, input().split())) for _ in range(n))
print(cost(rc))
``` | output | 1 | 45,352 | 5 | 90,705 |
Provide a correct Python 3 solution for this coding contest problem.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125 | instruction | 0 | 45,353 | 5 | 90,706 |
"Correct Solution:
```
N = int(input())
RC = []
for _ in range(N):
RC.append(list(map(int, input().split())))
dp = {}
for i in range(N):
dp[(i, i)] = 0
for w in range(2, N+1):
for l in range(N-w+1):
cost = float('inf')
r = l+w-1
for m in range(l, r):
mul = RC[l][0] * RC[m][1] * RC[r][1]
cost = min(cost, dp[(l, m)]+dp[(m+1,r)] + mul)
dp[(l, r)] = cost
print(dp[(0, N-1)])
``` | output | 1 | 45,353 | 5 | 90,707 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125
Submitted Solution:
```
n = int(input())
r = [0] * (n+1) # M1=r0*r1, M2=r1*r2, ... , Mn=rn-1*rn
m = [[100**4] * (n+1) for _ in range(n+1)] # m[i][j] = Mi...Mj の最小コスト
for i in range(n):
r[i], r[i+1] = list(map(int, input().split()))
for i in range(1, n+1): # 1個の行列のコスト
m[i][i] = 0
for i in range(1, n): # 2個の行列のコスト
m[i][i+1] = r[i-1] * r[i] * r[i+1]
for j in range(2, n): # j+1 個の行列のコスト
for i in range(1, n-j+1): # Mi...Mi+j
for k in range(j): # Mi...Mi+k と Mi+k+1...Mi+j に分割
# print('i=',i,' i+k=',i+k,' i+j=', i+j)
cost = m[i][i+k] + r[i-1]*r[i+k]*r[i+j] + m[i+k+1][i+j]
if cost < m[i][i+j]:
m[i][i+j] = cost
print(m[1][n])
``` | instruction | 0 | 45,354 | 5 | 90,708 |
Yes | output | 1 | 45,354 | 5 | 90,709 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125
Submitted Solution:
```
from sys import stdin
from collections import deque
inf=float('inf')
def search(A,N):
dp=[[inf for x in range(N+1)] for j in range(N+1)]
p=[]
for i in range(N+1):
dp[i][i]=0
if i>=1:
if i==1:
p.append(A[i][0])
p.append(A[i][1])
else:p.append(A[i][1])
for l in range(2,N+1):#行を選ぶ
for i in range(1,N-l+2):
j=i+l-1
for k in range(i,j):
dp[i][j]=min(dp[i][j],dp[i][k]+dp[k+1][j]+p[i-1]*p[k]*p[j])
return dp[1][-1]
N=int(input())
num_list = [[0, 0]]
for i in range(N):
num_list.append(list(map(int,stdin.readline().strip().split())))
print(search(num_list,N))
``` | instruction | 0 | 45,355 | 5 | 90,710 |
Yes | output | 1 | 45,355 | 5 | 90,711 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125
Submitted Solution:
```
def s():
n=int(input())+1
e=[input().split()for _ in[0]*~-n]
p=[int(e[0][0])]+list(int(x[1])for x in e)
m=[[0]*n for _ in[0]*n]
for i in range(n):
for r in range(n-i-1):
c=r+i+1
for j in range(r+1,c):
x=m[r][j]+m[j][c]+p[r]*p[j]*p[c]
if not 0<m[r][c]<x:m[r][c]=x
print(m[r][c])
if'__main__'==__name__:s()
``` | instruction | 0 | 45,356 | 5 | 90,712 |
Yes | output | 1 | 45,356 | 5 | 90,713 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125
Submitted Solution:
```
# -*- coding: utf-8 -*-
import sys
INF=10**9
MOD=10**9+7
input=lambda: sys.stdin.readline().rstrip()
def main():
N=int(input())
R,C=[0]*N,[0]*N
A=[0]*(N+1)
for i in range(N):
A[i],A[i+1]=map(int,input().split())
dp=[[INF]*N for _ in range(N)]
dp[0]=[0]*N
for i in range(N):
for j in range(N-1-i):
for k in range(i+1):
dp[i+1][j]=min(dp[i+1][j],dp[i-k][j]+dp[k][i+1-k+j]+A[j]*A[j+i+1-k]*A[j+i+2])
print(dp[-1][0])
if __name__ == '__main__':
main()
``` | instruction | 0 | 45,357 | 5 | 90,714 |
Yes | output | 1 | 45,357 | 5 | 90,715 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125
Submitted Solution:
```
import sys
sys.setrecursionlimit(10**7)
debug = False
import numpy as np
def dprint(*objects):
if debug == True:
print(*objects)
# n = int(input())
# a, b = map(int, input().split())
# int_list = list(map(int, input().split()))
# l = list(input().split())
def solve():
n = int(input())
mat_list = []
for i in range(n):
mat_list.append(list(map(int, input().split())))
dprint(mat_list)
# 掛け始めのidxと掛け終わりのidxをi, jとし、計算回数を持つメモ
memo = np.zeros(shape=(n, n))
def calc(start, end):
dprint("*", start, end)
# 1つの行列なら0
if end == start:
return 0
# メモがあれば返す
if memo[start][end] != 0:
return memo[start][end]
# 2つの行列なら、答えを計算しメモ追記
if end - start == 1:
cost = mat_list[start][0] * mat_list[start][1] * mat_list[end][1]
memo[start][end] = cost
dprint(start, end, cost)
return cost
# 3つ以上なら、再帰
min_cost = -1
if end - start >= 2:
for right_start in range(start+1, end+1):
left = calc(start, right_start-1)
right = calc(right_start, end)
cost = left + right + mat_list[start][0] * mat_list[right_start][0] * mat_list[end][1]
if min_cost == -1 or min_cost > cost:
min_cost = cost
dprint(start, end, right_start, min_cost, cost)
memo[start][end] = min_cost
return min_cost
ans = calc(0, n-1)
dprint(memo)
print(int(ans))
solve()
``` | instruction | 0 | 45,358 | 5 | 90,716 |
No | output | 1 | 45,358 | 5 | 90,717 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125
Submitted Solution:
```
if'__main__'==__name__:s()
def s():
n=int(input())+1
e=[input().split()for _ in[0]*~-n]
p=[int(e[0][0])]+list(int(x[1])for x in e)
m=[[0]*n for _ in[0]*n]
for l in range(2,n):
for i in range(1,n-l+1):
j=i+l-1;m[i][j]=1e6
for k in range(i,j):m[i][j]=min(m[i][j],m[i][k]+m[k+1][j]+p[i-1]*p[k]*p[j])
print(m[1][n-1])
``` | instruction | 0 | 45,359 | 5 | 90,718 |
No | output | 1 | 45,359 | 5 | 90,719 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125
Submitted Solution:
```
n = int(input())
INF = 10**9
P = []
for i in range(n):
p = map(int, input().split())
P.append()
m = [[0]*n for i in range(n)]
for l in range(2, n + 1):
for i in range(n - l + 1):
j = i + l - 1
m[i][j] = INF
for k in range(i, j):
m[i][j] = min(m[i][j], m[i][k] + m[k + 1]m[j] + p[i - 1] * p[k] * p[j])
print(m[0][n - 1])
``` | instruction | 0 | 45,360 | 5 | 90,720 |
No | output | 1 | 45,360 | 5 | 90,721 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The goal of the matrix-chain multiplication problem is to find the most efficient way to multiply given $n$ matrices $M_1, M_2, M_3,...,M_n$.
Write a program which reads dimensions of $M_i$, and finds the minimum number of scalar multiplications to compute the maxrix-chain multiplication $M_1M_2...M_n$.
Constraints
* $1 \leq n \leq 100$
* $1 \leq r, c \leq 100$
Input
In the first line, an integer $n$ is given. In the following $n$ lines, the dimension of matrix $M_i$ ($i = 1...n$) is given by two integers $r$ and $c$ which respectively represents the number of rows and columns of $M_i$.
Output
Print the minimum number of scalar multiplication in a line.
Example
Input
6
30 35
35 15
15 5
5 10
10 20
20 25
Output
15125
Submitted Solution:
```
import math
n = int(input())
p1 = []
p = []
m = [[] for i in range(n)]
for i in range (n):
p1.append(list(map(int, input().split())))
p.append(int(p1[i][0]))
for j in range(n):
m[i].append(0)
p.append(int(p1[i][1]))
for l in range(2, n + 1):
for i in range(n - l + 1):
j = i + l - 1
m[i][j] = 10000000000000000
for k in range(i, j):
m[i][j] = min(m[i][j], m[i][k] + m[k + 1][j] + p[i - 1] * p[k] * p[j])
print(m[0][5])
``` | instruction | 0 | 45,361 | 5 | 90,722 |
No | output | 1 | 45,361 | 5 | 90,723 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a_1, a_2, ..., a_n consisting of n non-zero integers (i.e. a_i ≠ 0).
You have to calculate two following values:
1. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is negative;
2. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is positive;
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^{5}) — the number of elements in the sequence.
The second line contains n integers a_1, a_2, ..., a_n (-10^{9} ≤ a_i ≤ 10^{9}; a_i ≠ 0) — the elements of the sequence.
Output
Print two integers — the number of subsegments with negative product and the number of subsegments with positive product, respectively.
Examples
Input
5
5 -3 3 -1 1
Output
8 7
Input
10
4 2 -4 3 1 2 -4 3 2 3
Output
28 27
Input
5
-1 -2 -3 -4 -5
Output
9 6
Submitted Solution:
```
import math
n = int(input())
a = input().split(" ")
for i in range(n):
a[i] = int(a[i])
s = int((2+(n-1))/2*n)
kot = 0
ch = 0
nch = 0
otv = 0
for i in range(n):
if kot % 2 == 0:
ch += 1
else:
nch += 1
if a[i] < 0:
kot += 1
if kot % 2 == 0:
otv += ch
else:
otv += nch
print(str(s-otv) + " " + str(otv))
``` | instruction | 0 | 45,488 | 5 | 90,976 |
Yes | output | 1 | 45,488 | 5 | 90,977 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a_1, a_2, ..., a_n consisting of n non-zero integers (i.e. a_i ≠ 0).
You have to calculate two following values:
1. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is negative;
2. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is positive;
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^{5}) — the number of elements in the sequence.
The second line contains n integers a_1, a_2, ..., a_n (-10^{9} ≤ a_i ≤ 10^{9}; a_i ≠ 0) — the elements of the sequence.
Output
Print two integers — the number of subsegments with negative product and the number of subsegments with positive product, respectively.
Examples
Input
5
5 -3 3 -1 1
Output
8 7
Input
10
4 2 -4 3 1 2 -4 3 2 3
Output
28 27
Input
5
-1 -2 -3 -4 -5
Output
9 6
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split()))
positive = [0]
negative = [0]
sm = 0
for x in a:
if x > 0:
positive.append(positive[-1]+1)
negative.append(negative[-1])
else:
positive.append(negative[-1])
negative.append(positive[-2]+1)
sm += positive[-1]
print((n*(n+1)//2)-sm,sm)
``` | instruction | 0 | 45,489 | 5 | 90,978 |
Yes | output | 1 | 45,489 | 5 | 90,979 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a_1, a_2, ..., a_n consisting of n non-zero integers (i.e. a_i ≠ 0).
You have to calculate two following values:
1. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is negative;
2. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is positive;
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^{5}) — the number of elements in the sequence.
The second line contains n integers a_1, a_2, ..., a_n (-10^{9} ≤ a_i ≤ 10^{9}; a_i ≠ 0) — the elements of the sequence.
Output
Print two integers — the number of subsegments with negative product and the number of subsegments with positive product, respectively.
Examples
Input
5
5 -3 3 -1 1
Output
8 7
Input
10
4 2 -4 3 1 2 -4 3 2 3
Output
28 27
Input
5
-1 -2 -3 -4 -5
Output
9 6
Submitted Solution:
```
n=int(input())
l=list(map(int,input().split()))
bal=0
p=0
cte,cto=0,0
for i in range(n):
if bal%2==0:
cte+=1
if bal%2==1:
cto+=1
if l[i]<0:
bal=bal+1
if bal%2==0:
p=p+cte
if bal%2==1:
p=p+cto
print((n*(n+1))//2-p,p)
``` | instruction | 0 | 45,490 | 5 | 90,980 |
Yes | output | 1 | 45,490 | 5 | 90,981 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a_1, a_2, ..., a_n consisting of n non-zero integers (i.e. a_i ≠ 0).
You have to calculate two following values:
1. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is negative;
2. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is positive;
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^{5}) — the number of elements in the sequence.
The second line contains n integers a_1, a_2, ..., a_n (-10^{9} ≤ a_i ≤ 10^{9}; a_i ≠ 0) — the elements of the sequence.
Output
Print two integers — the number of subsegments with negative product and the number of subsegments with positive product, respectively.
Examples
Input
5
5 -3 3 -1 1
Output
8 7
Input
10
4 2 -4 3 1 2 -4 3 2 3
Output
28 27
Input
5
-1 -2 -3 -4 -5
Output
9 6
Submitted Solution:
```
def main():
n, a, c, cc = int(input()), True, [0, 0], [0, 0]
for s in input().split():
a ^= s[0] == '-'
if a:
cc[0] += c[0]
cc[1] += c[1] + 1
else:
cc[1] += c[0]
cc[0] += c[1] + 1
c[a] += 1
print(*cc)
if __name__ == '__main__':
main()
``` | instruction | 0 | 45,491 | 5 | 90,982 |
Yes | output | 1 | 45,491 | 5 | 90,983 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a_1, a_2, ..., a_n consisting of n non-zero integers (i.e. a_i ≠ 0).
You have to calculate two following values:
1. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is negative;
2. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is positive;
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^{5}) — the number of elements in the sequence.
The second line contains n integers a_1, a_2, ..., a_n (-10^{9} ≤ a_i ≤ 10^{9}; a_i ≠ 0) — the elements of the sequence.
Output
Print two integers — the number of subsegments with negative product and the number of subsegments with positive product, respectively.
Examples
Input
5
5 -3 3 -1 1
Output
8 7
Input
10
4 2 -4 3 1 2 -4 3 2 3
Output
28 27
Input
5
-1 -2 -3 -4 -5
Output
9 6
Submitted Solution:
```
import sys
input = sys.stdin.readline
sys.setrecursionlimit(1000000)
def lis():return [int(i) for i in input().split()]
def value():return int(input())
n=value()
a=lis()
neg = 0
for i in a:
if i<0:neg+=1
if neg == 0:
print(0,(n*(n+1))//2)
exit()
ans=[]
count = 0
for i in range(n):
count+=1
if a[i]<0:
ans.append(count)
count = 0
rem = count
if neg == 1:
tot = ans[0]*(rem+1)
print(tot,n*(n+1)//2- tot)
exit()
elif neg == 2:
tot = (rem + 1)*ans[1] + (ans[1])*ans[0]
# ans[1]*(rem+1) + rem*ans[0] + ans[0]*(1+ans[1])
print(tot,n*(n+1)//2- tot)
exit()
a1,a2=ans[0],ans[1]
tot = 0
for i in range(2,len(ans)):
if i&1:
tot+=a2*ans[i]
a2+=ans[i]
else:
tot+=a1*ans[i]
a1+=ans[i]
if rem:
if len(ans)&1:
tot+=rem*a1
else:tot+=rem*a2
for i in range(len(ans)):
if i == len(ans) - 1:
tot+=ans[i]*1
else:
tot+=ans[i]*ans[i+1]
print(tot,n*(n+1)//2- tot)
``` | instruction | 0 | 45,493 | 5 | 90,986 |
No | output | 1 | 45,493 | 5 | 90,987 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a_1, a_2, ..., a_n consisting of n non-zero integers (i.e. a_i ≠ 0).
You have to calculate two following values:
1. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is negative;
2. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is positive;
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^{5}) — the number of elements in the sequence.
The second line contains n integers a_1, a_2, ..., a_n (-10^{9} ≤ a_i ≤ 10^{9}; a_i ≠ 0) — the elements of the sequence.
Output
Print two integers — the number of subsegments with negative product and the number of subsegments with positive product, respectively.
Examples
Input
5
5 -3 3 -1 1
Output
8 7
Input
10
4 2 -4 3 1 2 -4 3 2 3
Output
28 27
Input
5
-1 -2 -3 -4 -5
Output
9 6
Submitted Solution:
```
n = int(input())
nums =[ int (x) for x in input().split()]
bal=0
p=0
ng=0
ans=0
for i in nums:
if bal%2==0:
p+=1
else:
ng+=1
if i<0:
bal+=1
if bal%2==0:
ans=ans+p
else:
ans=ans+ng
tot=n*(n+1)//2
print(ans, tot-ans)
``` | instruction | 0 | 45,494 | 5 | 90,988 |
No | output | 1 | 45,494 | 5 | 90,989 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a_1, a_2, ..., a_n consisting of n non-zero integers (i.e. a_i ≠ 0).
You have to calculate two following values:
1. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is negative;
2. the number of pairs of indices (l, r) (l ≤ r) such that a_l ⋅ a_{l + 1} ... a_{r - 1} ⋅ a_r is positive;
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^{5}) — the number of elements in the sequence.
The second line contains n integers a_1, a_2, ..., a_n (-10^{9} ≤ a_i ≤ 10^{9}; a_i ≠ 0) — the elements of the sequence.
Output
Print two integers — the number of subsegments with negative product and the number of subsegments with positive product, respectively.
Examples
Input
5
5 -3 3 -1 1
Output
8 7
Input
10
4 2 -4 3 1 2 -4 3 2 3
Output
28 27
Input
5
-1 -2 -3 -4 -5
Output
9 6
Submitted Solution:
```
elem = int(input())
ar = []
countPlus = 0
countMin = 0
temp = []
for t in input().split(" "):
if len(temp)==0:
if int(t) > 0:
countPlus = 1
temp.append(1)
ar.append(1)
else:
countMin=1
temp.append(-1)
ar.append(-1)
else:
if int(t) > 0:
if temp[-1]==-1:
countMin=countMin+1
else:
countPlus=countPlus + 1
temp.append(temp[-1])
ar.append(1)
else:
if temp[-1]==-1:
countMin=countMin+1
else:
countPlus=countPlus + 1
temp.append(-1*temp[-1])
ar.append(-1)
plus = 0
minus = 0
for x in ar:
if x == 1:
plus = plus+countPlus
minus = minus+countMin
countPlus=countPlus-1
else:
plus = plus+countPlus
minus = minus+countMin
countMin=countMin-1
temp2 = countMin
countMin = countPlus
countPlus = temp2
print(minus, plus)
``` | instruction | 0 | 45,495 | 5 | 90,990 |
No | output | 1 | 45,495 | 5 | 90,991 |
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