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.
There are N gems. The value of the i-th gem is V_i.
You will choose some of these gems, possibly all or none, and get them.
However, you need to pay a cost of C_i to get the i-th gem.
Let X be the sum of the values of the gems obtained, and Y be the sum of the costs paid.
Find the maximum possible value of X-Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 20
* 1 \leq C_i, V_i \leq 50
Input
Input is given from Standard Input in the following format:
N
V_1 V_2 ... V_N
C_1 C_2 ... C_N
Output
Print the maximum possible value of X-Y.
Examples
Input
3
10 2 5
6 3 4
Output
5
Input
4
13 21 6 19
11 30 6 15
Output
6
Input
1
1
50
Output
0
Submitted Solution:
```
n=int(input())
v=list(map(int,input().split()))
c=list(map(int,input().split()))
ans=0
for i in range(n):
if v[i]-c[i]>0:
ans+=v[i]+c[i]
print(ans)
``` | instruction | 0 | 50,328 | 5 | 100,656 |
No | output | 1 | 50,328 | 5 | 100,657 |
Provide a correct Python 3 solution for this coding contest problem.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes | instruction | 0 | 50,333 | 5 | 100,666 |
"Correct Solution:
```
a,b,c,d = map(int,input().split())
print('Yes'if abs(a-c)<=d or (abs(c-b)<=d and abs(b-a)<=d) else 'No')
``` | output | 1 | 50,333 | 5 | 100,667 |
Provide a correct Python 3 solution for this coding contest problem.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes | instruction | 0 | 50,334 | 5 | 100,668 |
"Correct Solution:
```
a,b,c,d=map(int,input().split())
if( abs(a-c) <=d or (abs(a-b) <=d and abs(b-c)<=d) ):
print("Yes")
else:
print("No")
``` | output | 1 | 50,334 | 5 | 100,669 |
Provide a correct Python 3 solution for this coding contest problem.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes | instruction | 0 | 50,335 | 5 | 100,670 |
"Correct Solution:
```
a,b,c,d=map(int,input().split())
if (abs(b-a)<=d and abs(c-b)<=d)or abs(c-a)<=d :
print("Yes")
else:
print("No")
``` | output | 1 | 50,335 | 5 | 100,671 |
Provide a correct Python 3 solution for this coding contest problem.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes | instruction | 0 | 50,336 | 5 | 100,672 |
"Correct Solution:
```
a,b,c,d=map(int,input().split())
print('Yes' if abs(b-a) <= d and abs(b-c) <= d or abs(c-a) <= d else 'No')
``` | output | 1 | 50,336 | 5 | 100,673 |
Provide a correct Python 3 solution for this coding contest problem.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes | instruction | 0 | 50,337 | 5 | 100,674 |
"Correct Solution:
```
a,b,c,d=map(int, input().split());print("YNeos"[(abs(b-a)>d or abs(c-b)>d)and(abs(c-a)>d)::2])
``` | output | 1 | 50,337 | 5 | 100,675 |
Provide a correct Python 3 solution for this coding contest problem.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes | instruction | 0 | 50,338 | 5 | 100,676 |
"Correct Solution:
```
a, b, c, d = map(int, input().split())
print("Yes" if (abs(a-b)<=d and abs(b-c)<=d) or abs(a-c)<=d else "No")
``` | output | 1 | 50,338 | 5 | 100,677 |
Provide a correct Python 3 solution for this coding contest problem.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes | instruction | 0 | 50,339 | 5 | 100,678 |
"Correct Solution:
```
a, b, c, d = [int(i) for i in input().split()]
print('Yes' if ((abs(b-a)<=d and abs(c-b)<=d)) or abs(c-a)<=d else 'No')
``` | output | 1 | 50,339 | 5 | 100,679 |
Provide a correct Python 3 solution for this coding contest problem.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes | instruction | 0 | 50,340 | 5 | 100,680 |
"Correct Solution:
```
a, b, c, d = map(int, input().split())
print('Yes' if abs(a - c) <= d or abs(a - b) + abs(b - c) < 2*d else 'No')
``` | output | 1 | 50,340 | 5 | 100,681 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes
Submitted Solution:
```
a,b,c,d = map(int, input().split())
print('Yes' if abs(a-c) <= d or all(abs(x-b) <= d for x in (a,c)) else 'No')
``` | instruction | 0 | 50,341 | 5 | 100,682 |
Yes | output | 1 | 50,341 | 5 | 100,683 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes
Submitted Solution:
```
a,b,c,d=map(int,input().split())
print("Yes" if ((abs(a-b)<=d and (abs(b-c)<=d)) or abs(a-c)<=d) else "No")
``` | instruction | 0 | 50,342 | 5 | 100,684 |
Yes | output | 1 | 50,342 | 5 | 100,685 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes
Submitted Solution:
```
a,b,c,d=map(int,input().split())
if abs(c-a)<=d or (abs(a-b)<=d and abs (b-c)<=d):
print("Yes")
else:
print("No")
``` | instruction | 0 | 50,343 | 5 | 100,686 |
Yes | output | 1 | 50,343 | 5 | 100,687 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes
Submitted Solution:
```
a,b,c,d = map(int, input().split())
print('Yes' if (abs(b - a) <= d and abs(c - b) <= d) or abs(c -a) <= d else 'No')
``` | instruction | 0 | 50,344 | 5 | 100,688 |
Yes | output | 1 | 50,344 | 5 | 100,689 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes
Submitted Solution:
```
a,b,c,d=map(int,input().split())
if abs(a-c)<=d or abs(a-b)+abs(b-c)<=2*d:
ans="Yes"
else:
ans="No"
print(ans)
``` | instruction | 0 | 50,345 | 5 | 100,690 |
No | output | 1 | 50,345 | 5 | 100,691 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes
Submitted Solution:
```
a, b, c, d = map(int, input().split())
if abs(c - a) <= d:
print('Yes')
elif (abs(b - a) <= d) and (abs(c-b) <= d):
print('Yes')
else:
print('No')
print(abs(b-a))
``` | instruction | 0 | 50,346 | 5 | 100,692 |
No | output | 1 | 50,346 | 5 | 100,693 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes
Submitted Solution:
```
a,b,c,d=map(int,input().split())
if abs(b-a) <= d and abs(c-b) <= d or abs(c-a) <= d:
print("yes")
else:
print("No")
``` | instruction | 0 | 50,347 | 5 | 100,694 |
No | output | 1 | 50,347 | 5 | 100,695 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.
Constraints
* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
a b c d
Output
If A and C can communicate, print `Yes`; if they cannot, print `No`.
Examples
Input
4 7 9 3
Output
Yes
Input
100 10 1 2
Output
No
Input
10 10 10 1
Output
Yes
Input
1 100 2 10
Output
Yes
Submitted Solution:
```
a, b, c, d = map(int, input())
print("Yes" if abs(c - a) <= d or (abs(c - b) <= d and abs(a - b) <= d) else "No")
``` | instruction | 0 | 50,348 | 5 | 100,696 |
No | output | 1 | 50,348 | 5 | 100,697 |
Provide a correct Python 3 solution for this coding contest problem.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0 | instruction | 0 | 50,376 | 5 | 100,752 |
"Correct Solution:
```
n = input()
S = input()
x = xmax = 0
for s in S:
x += 1 if s == 'I' else -1
xmax = max(x, xmax)
print(xmax)
``` | output | 1 | 50,376 | 5 | 100,753 |
Provide a correct Python 3 solution for this coding contest problem.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0 | instruction | 0 | 50,377 | 5 | 100,754 |
"Correct Solution:
```
a=int(input())
b=input()
for x in b:
b=b.replace("DI","")
print(b.count("I"))
``` | output | 1 | 50,377 | 5 | 100,755 |
Provide a correct Python 3 solution for this coding contest problem.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0 | instruction | 0 | 50,378 | 5 | 100,756 |
"Correct Solution:
```
n=input()
s=input()
x= Xmax = 0
for i in s:
if i =="I": x+=1
else: x-=1
Xmax=max(x,Xmax)
print(Xmax)
``` | output | 1 | 50,378 | 5 | 100,757 |
Provide a correct Python 3 solution for this coding contest problem.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0 | instruction | 0 | 50,379 | 5 | 100,758 |
"Correct Solution:
```
n = int(input())
s = list(input())
print(max([2 * s[:i].count("I") - len(s[:i]) for i in range(n + 1)]))
``` | output | 1 | 50,379 | 5 | 100,759 |
Provide a correct Python 3 solution for this coding contest problem.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0 | instruction | 0 | 50,380 | 5 | 100,760 |
"Correct Solution:
```
input()
s=input()
ans=0;
cu=0
for c in s:
if c=='I':
cu+=1
else:
cu-=1
ans=max(ans,cu)
print(ans)
``` | output | 1 | 50,380 | 5 | 100,761 |
Provide a correct Python 3 solution for this coding contest problem.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0 | instruction | 0 | 50,381 | 5 | 100,762 |
"Correct Solution:
```
n,ans = int(input()),0
s = list(input())
for i in range(n+1):ans = max(ans,s[:i].count("I")-s[:i].count("D"))
print(ans)
``` | output | 1 | 50,381 | 5 | 100,763 |
Provide a correct Python 3 solution for this coding contest problem.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0 | instruction | 0 | 50,382 | 5 | 100,764 |
"Correct Solution:
```
ret=0
n=int(input())
s=input()
x=0
for i in s:
if i=="I":
x+=1
else:
x-=1
ret=max(ret,x)
print(ret)
``` | output | 1 | 50,382 | 5 | 100,765 |
Provide a correct Python 3 solution for this coding contest problem.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0 | instruction | 0 | 50,383 | 5 | 100,766 |
"Correct Solution:
```
N = int(input())
S = input()
ans = 0
x = 0
for s in S:
v = 1 if s == 'I' else -1
x += v
ans = max(ans, x)
print(ans)
``` | output | 1 | 50,383 | 5 | 100,767 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0
Submitted Solution:
```
n=int(input())
s=list(input())
a=0
m=0
for i in s:
if i=='I':
a+=1
else:
a-=1
if a>m:
m=a
print(m)
``` | instruction | 0 | 50,384 | 5 | 100,768 |
Yes | output | 1 | 50,384 | 5 | 100,769 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0
Submitted Solution:
```
n=input()
s=input();x,a=0,0
for i in s:
x += 1 if i=='I' else -1
a=max(a,x)
print(a)
``` | instruction | 0 | 50,385 | 5 | 100,770 |
Yes | output | 1 | 50,385 | 5 | 100,771 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0
Submitted Solution:
```
n=int(input())
s=input()
ans=0
x=0
for i in s:
if i == "I":
x += 1
ans = max(ans,x)
else:
x-=1
print(ans)
``` | instruction | 0 | 50,386 | 5 | 100,772 |
Yes | output | 1 | 50,386 | 5 | 100,773 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0
Submitted Solution:
```
N=int(input())
S=input()
ans=0
x=0
for i in range (N):
if (S[i]=='I'):
x+=1
else:
x-=1
ans=max(ans,x)
print(ans)
``` | instruction | 0 | 50,387 | 5 | 100,774 |
Yes | output | 1 | 50,387 | 5 | 100,775 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0
Submitted Solution:
```
n = input()
n = int(n)
str = input()
val = []
x = 0
for _ in range(n):
o = str[:1]
if o == 'D':
x -= 1
else:
x += 1
val.append(x)
str = str[1:]
print(max(val))
``` | instruction | 0 | 50,388 | 5 | 100,776 |
No | output | 1 | 50,388 | 5 | 100,777 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0
Submitted Solution:
```
n = int(input())
s = str(input())
ans = 0
max = 0
for i in range(n):
if s[i]=="I":
ans+=1
max = max(ans, max)
else:
ans-=1
max = max(ans, max)
print(max)
``` | instruction | 0 | 50,389 | 5 | 100,778 |
No | output | 1 | 50,389 | 5 | 100,779 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0
Submitted Solution:
```
n=input()
s=list(input())
x=0
for i in s:
if i=="I":
x+=1
elif i=="D":
x-=1
print(x)
``` | instruction | 0 | 50,390 | 5 | 100,780 |
No | output | 1 | 50,390 | 5 | 100,781 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have an integer variable x. Initially, x=0.
Some person gave you a string S of length N, and using the string you performed the following operation N times. In the i-th operation, you incremented the value of x by 1 if S_i=`I`, and decremented the value of x by 1 if S_i=`D`.
Find the maximum value taken by x during the operations (including before the first operation, and after the last operation).
Constraints
* 1≤N≤100
* |S|=N
* No characters except `I` and `D` occur in S.
Input
The input is given from Standard Input in the following format:
N
S
Output
Print the maximum value taken by x during the operations.
Examples
Input
5
IIDID
Output
2
Input
7
DDIDDII
Output
0
Submitted Solution:
```
N = int(input())
S = input()
x = 0
M = 0
for s in list(S):
pre = x
if s == "I":
x += 1
elif s == "D":
x -= 1
M = max(pre, x)
print(M)
``` | instruction | 0 | 50,391 | 5 | 100,782 |
No | output | 1 | 50,391 | 5 | 100,783 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
8
-10 0
-10 5
-5 5
-5 0
10 0
10 -5
5 -5
5 0
Output
50 | instruction | 0 | 50,489 | 5 | 100,978 |
"Correct Solution:
```
from collections import defaultdict
import sys
readline = sys.stdin.readline
write = sys.stdout.write
def cross3(p0, p1, p2):
return (p1[0] - p0[0]) * (p2[1] - p0[1]) - (p1[1] - p0[1]) * (p2[0] - p0[0])
def solve():
N = int(readline())
mp = defaultdict(list)
for i in range(N):
x, y = map(int, readline().split())
mp[x].append(y)
*S, = mp.items()
S.sort()
def calc(S, k):
P = []; Q = []
r = 0; R = [0]
for x, ys in S:
ys.sort(reverse=k)
for y in ys:
p = (x, y)
while len(P) >= 2 and cross3(P[-2], P[-1], p) <= 0:
r += abs(cross3(P[-2], P[-1], p))
P.pop()
P.append(p)
while len(Q) >= 2 and cross3(Q[-2], Q[-1], p) >= 0:
r += abs(cross3(Q[-2], Q[-1], p))
Q.pop()
Q.append(p)
R.append(r)
return R
R0 = calc(S, 0)
S.reverse()
R1 = calc(S, 1)
L = len(S)
ans = 10**20
for i in range(L+1):
ans = min(ans, R0[i] + R1[-1-i])
write("%d\n" % ((ans+1) // 2))
solve()
``` | output | 1 | 50,489 | 5 | 100,979 |
Provide a correct Python 3 solution for this coding contest problem.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4 | instruction | 0 | 50,493 | 5 | 100,986 |
"Correct Solution:
```
from bisect import bisect_left
n = int(input())
a = list(map(int, input().split()))
q = int(input())
for i in range(q):
k = int(input())
print(bisect_left(a, k))
``` | output | 1 | 50,493 | 5 | 100,987 |
Provide a correct Python 3 solution for this coding contest problem.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4 | instruction | 0 | 50,494 | 5 | 100,988 |
"Correct Solution:
```
from bisect import *
input()
L = [int(x) for x in input().split()]
n = int(input())
for _ in range(n):
x = int(input())
print( bisect_left(L,x) )
``` | output | 1 | 50,494 | 5 | 100,989 |
Provide a correct Python 3 solution for this coding contest problem.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4 | instruction | 0 | 50,495 | 5 | 100,990 |
"Correct Solution:
```
from bisect import bisect_left
n = int(input())
a = list(map(int,input().split()))
#a.append(1000000001)
q = int(input())
for i in range(q):
k = int(input())
print(bisect_left(a,k))
``` | output | 1 | 50,495 | 5 | 100,991 |
Provide a correct Python 3 solution for this coding contest problem.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4 | instruction | 0 | 50,496 | 5 | 100,992 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split( )))
q=int(input())
k=[]
for i in range(q):
k1=int(input())
k.append([k1,i])
a.sort()
k.sort()
ans = [n]*q
i = 0 #k
j = 0 #a
while i<q and j<n:
try:#j=nの処理
while k[i][0] > a[j]:
j += 1
except:
pass
ans[k[i][1]] = j
i+=1
for i in range(q):
print(ans[i])
``` | output | 1 | 50,496 | 5 | 100,993 |
Provide a correct Python 3 solution for this coding contest problem.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4 | instruction | 0 | 50,497 | 5 | 100,994 |
"Correct Solution:
```
import bisect
n = int(input())
A = [int(x) for x in input().split()]
q = int(input())
for i in range(q):
k = int(input())
print(bisect.bisect_left(A, k))
``` | output | 1 | 50,497 | 5 | 100,995 |
Provide a correct Python 3 solution for this coding contest problem.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4 | instruction | 0 | 50,498 | 5 | 100,996 |
"Correct Solution:
```
from bisect import bisect_left
def run():
n = int(input())
a = [int(x) for x in input().split()]
assert(n == len(a))
q = int(input())
for _ in range(q):
k = int(input())
i = bisect_left(a, k)
print(i)
if __name__ == '__main__':
run()
``` | output | 1 | 50,498 | 5 | 100,997 |
Provide a correct Python 3 solution for this coding contest problem.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4 | instruction | 0 | 50,499 | 5 | 100,998 |
"Correct Solution:
```
import bisect
def main():
n = int(input())
li = [int(a) for a in input().split()]
q = int(input())
for _ in range(q):
k = int(input())
i = bisect.bisect_left(li, k)
print(i)
main()
``` | output | 1 | 50,499 | 5 | 100,999 |
Provide a correct Python 3 solution for this coding contest problem.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4 | instruction | 0 | 50,500 | 5 | 101,000 |
"Correct Solution:
```
import bisect
n = int(input())
a = sorted(list(map(int,input().split())))
a.append(1e20)
for i in range(int(input())):
print(min(n,bisect.bisect_left(a,int(input()))))
``` | output | 1 | 50,500 | 5 | 101,001 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4
Submitted Solution:
```
from bisect import *
n = int(input())
box = list(map(int, input().split()))
q = int(input())
for _ in range(q):
k = int(input())
print(bisect_left(box,k))
``` | instruction | 0 | 50,501 | 5 | 101,002 |
Yes | output | 1 | 50,501 | 5 | 101,003 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4
Submitted Solution:
```
from bisect import bisect
if __name__ == "__main__":
n = int(input())
a = list(map(lambda x: int(x), input().split()))
num_query = int(input())
for _ in range(num_query):
k = int(input())
print(f"{bisect(a, k - 1)}")
``` | instruction | 0 | 50,502 | 5 | 101,004 |
Yes | output | 1 | 50,502 | 5 | 101,005 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4
Submitted Solution:
```
# http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ITP2_6_C&lang=jp
# Lower Bound : python3
# 2018.11.26 yonezawa
import sys
input = sys.stdin.readline
def LowerBound(d,l):
max = len(l) -1
min = 0
mid = max // 2
while True:
if (l[mid] > d ):
max = mid
elif (l[mid] == d ):
while l[mid] == d and mid >= 0:
mid -= 1
return mid + 1
else:
min = mid
mid = (max + min ) // 2
if ( mid == max or mid == min ):
if ( l[mid] == d or l[max] == d):
while l[mid] == d and mid >= 0:
mid -= 1
return mid+1
if ( l[max] < d ):
return len(l)
if ( l[mid] > d):
return min
return max
def main():
nl = int(input())
l = list(map(int,input().split()))
for i in range(int(input())):
n = int(input())
result = LowerBound(n,l)
print (result)
if __name__ == '__main__':
main()
``` | instruction | 0 | 50,503 | 5 | 101,006 |
Yes | output | 1 | 50,503 | 5 | 101,007 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4
Submitted Solution:
```
def binarySearch(n, a):
ok = len(a)
ng = -1
while abs(ok - ng) > 1:
mid = (ok + ng) // 2
# print("n:", n, "idx:", mid, "val:", a[mid], ok, ng, file=sys.stderr)
if a[mid] >= n:
ok = mid
else:
ng = mid
return ok
def resolve():
import sys
input = sys.stdin.readline
n = int(input())
a = [int(i) for i in input().split()]
q = int(input())
for _ in range(q):
k = int(input())
print(binarySearch(k, a))
resolve()
``` | instruction | 0 | 50,504 | 5 | 101,008 |
Yes | output | 1 | 50,504 | 5 | 101,009 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a given sequence $A = \\{a_0, a_1, ..., a_{n-1}\\}$ which is sorted by ascending order, find the lower bound for a specific value $k$ given as a query.
* lower bound: the place pointing to the first element greater than or equal to a specific value, or $n$ if there is no such element.
Constraints
* $1 \leq n \leq 100,000$
* $1 \leq q \leq 200,000$
* $0 \leq a_0 \leq a_1 \leq ... \leq a_{n-1} \leq 1,000,000,000$
* $0 \leq k_i \leq 1,000,000,000$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ,..., \; a_{n-1}$
$q$
$k_1$
$k_2$
:
$k_q$
The number of elements $n$ and each element $a_i$ are given in the first line and the second line respectively. In the third line, the number of queries $q$ is given and the following $q$ lines, $q$ integers $k_i$ are given as queries.
Output
For each query, print the position $i$ ($i = 0, 1, ..., n$) of the lower bound in a line.
Example
Input
4
1 2 2 4
3
2
3
5
Output
1
3
4
Submitted Solution:
```
import bisect
n = int(input())
a = list(map(int, input().split(' ')))
q = int(input())
for i in range(q):
k = int(input())
print(bisect.bisect_right(a, k))
``` | instruction | 0 | 50,505 | 5 | 101,010 |
No | output | 1 | 50,505 | 5 | 101,011 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At first, let's define function f(x) as follows: $$$ \begin{matrix} f(x) & = & \left\{ \begin{matrix} x/2 & \mbox{if } x is even \\\ x - 1 & \mbox{otherwise } \end{matrix} \right. \end{matrix} $$$
We can see that if we choose some value v and will apply function f to it, then apply f to f(v), and so on, we'll eventually get 1. Let's write down all values we get in this process in a list and denote this list as path(v). For example, path(1) = [1], path(15) = [15, 14, 7, 6, 3, 2, 1], path(32) = [32, 16, 8, 4, 2, 1].
Let's write all lists path(x) for every x from 1 to n. The question is next: what is the maximum value y such that y is contained in at least k different lists path(x)?
Formally speaking, you need to find maximum y such that \left| \{ x ~|~ 1 ≤ x ≤ n, y ∈ path(x) \} \right| ≥ k.
Input
The first line contains two integers n and k (1 ≤ k ≤ n ≤ 10^{18}).
Output
Print the only integer — the maximum value that is contained in at least k paths.
Examples
Input
11 3
Output
5
Input
11 6
Output
4
Input
20 20
Output
1
Input
14 5
Output
6
Input
1000000 100
Output
31248
Note
In the first example, the answer is 5, since 5 occurs in path(5), path(10) and path(11).
In the second example, the answer is 4, since 4 occurs in path(4), path(5), path(8), path(9), path(10) and path(11).
In the third example n = k, so the answer is 1, since 1 is the only number occuring in all paths for integers from 1 to 20.
Submitted Solution:
```
def _calc(prefix, n):
if prefix > n:
return 0
prefix = bin(prefix)[2:]
n = bin(n)[2:]
plen = len(prefix)
nlen = len(n)
res = (1 << (nlen - plen)) - 1
nprefix = n[:plen]
if nprefix == prefix:
for i in range(plen, nlen):
if n[i] == '1':
res += 1 << (nlen - i - 1)
res += 1 # n self
elif nprefix > prefix:
res += 1 << (nlen - plen)
return res
def calc(prefix, n):
if prefix % 2 == 0:
return _calc(prefix, n) + _calc(prefix + 1, n)
return _calc(prefix, n)
n, k = map(int, input().split())
if n == k:
print(1)
exit(0)
ans = 1
# even
l, r = 1, n >> 1
while l < r:
mid = (l + r + 1) >> 1
tot = calc(mid * 2, n)
if tot >= k:
l = mid
else:
r = mid - 1
l *= 2
if calc(l, n) >= k:
ans = max(ans, l)
# odd
l, r = 0, (n - 1) >> 1
while l < r:
mid = (l + r + 1) >> 1
tot = calc(mid * 2 + 1, n)
if tot >= k:
l = mid
else:
r = mid - 1
l = l * 2 + 1
if calc(l, n) >= k:
ans = max(ans, l)
print(ans)
``` | instruction | 0 | 50,611 | 5 | 101,222 |
Yes | output | 1 | 50,611 | 5 | 101,223 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At first, let's define function f(x) as follows: $$$ \begin{matrix} f(x) & = & \left\{ \begin{matrix} x/2 & \mbox{if } x is even \\\ x - 1 & \mbox{otherwise } \end{matrix} \right. \end{matrix} $$$
We can see that if we choose some value v and will apply function f to it, then apply f to f(v), and so on, we'll eventually get 1. Let's write down all values we get in this process in a list and denote this list as path(v). For example, path(1) = [1], path(15) = [15, 14, 7, 6, 3, 2, 1], path(32) = [32, 16, 8, 4, 2, 1].
Let's write all lists path(x) for every x from 1 to n. The question is next: what is the maximum value y such that y is contained in at least k different lists path(x)?
Formally speaking, you need to find maximum y such that \left| \{ x ~|~ 1 ≤ x ≤ n, y ∈ path(x) \} \right| ≥ k.
Input
The first line contains two integers n and k (1 ≤ k ≤ n ≤ 10^{18}).
Output
Print the only integer — the maximum value that is contained in at least k paths.
Examples
Input
11 3
Output
5
Input
11 6
Output
4
Input
20 20
Output
1
Input
14 5
Output
6
Input
1000000 100
Output
31248
Note
In the first example, the answer is 5, since 5 occurs in path(5), path(10) and path(11).
In the second example, the answer is 4, since 4 occurs in path(4), path(5), path(8), path(9), path(10) and path(11).
In the third example n = k, so the answer is 1, since 1 is the only number occuring in all paths for integers from 1 to 20.
Submitted Solution:
```
a, b = input().split()
a = int(a)
b = int(b)
if b == 1:
print(a)
else:
chopped_even = bin(b+1)[3:]
len_even = len(chopped_even)
best_even = ((a-int(chopped_even, 2))//(2**len_even))*2
chopped_odd = bin(b)[2:]
len_odd = len(chopped_odd)
best_odd = ((a - b) // (2**len_odd))*2 + 1
print(best_even if best_even > best_odd else best_odd)
``` | instruction | 0 | 50,612 | 5 | 101,224 |
Yes | output | 1 | 50,612 | 5 | 101,225 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
At first, let's define function f(x) as follows: $$$ \begin{matrix} f(x) & = & \left\{ \begin{matrix} x/2 & \mbox{if } x is even \\\ x - 1 & \mbox{otherwise } \end{matrix} \right. \end{matrix} $$$
We can see that if we choose some value v and will apply function f to it, then apply f to f(v), and so on, we'll eventually get 1. Let's write down all values we get in this process in a list and denote this list as path(v). For example, path(1) = [1], path(15) = [15, 14, 7, 6, 3, 2, 1], path(32) = [32, 16, 8, 4, 2, 1].
Let's write all lists path(x) for every x from 1 to n. The question is next: what is the maximum value y such that y is contained in at least k different lists path(x)?
Formally speaking, you need to find maximum y such that \left| \{ x ~|~ 1 ≤ x ≤ n, y ∈ path(x) \} \right| ≥ k.
Input
The first line contains two integers n and k (1 ≤ k ≤ n ≤ 10^{18}).
Output
Print the only integer — the maximum value that is contained in at least k paths.
Examples
Input
11 3
Output
5
Input
11 6
Output
4
Input
20 20
Output
1
Input
14 5
Output
6
Input
1000000 100
Output
31248
Note
In the first example, the answer is 5, since 5 occurs in path(5), path(10) and path(11).
In the second example, the answer is 4, since 4 occurs in path(4), path(5), path(8), path(9), path(10) and path(11).
In the third example n = k, so the answer is 1, since 1 is the only number occuring in all paths for integers from 1 to 20.
Submitted Solution:
```
from math import *
from collections import *
import sys
sys.setrecursionlimit(10**9)
def check(ch):
if(ch > n): return 0
if(ch %2 == 0):
if(ch == n): return 1
else:
st = 4
ans = 2
else:
st = 2
ans = 1
ch *= 2
while(ch < n):
if(ch > n + 1 - st):
ans += n+1-ch
break
else:
ans += st
st *= 2
if(ch > n - ch):
break
else:
ch *= 2
return ans
mod = 10**9 + 7
n,x = map(int,input().split())
l = 1
r = n
ans1 = 0
while(r >= l):
mid = (r+l)//2
mid *= 2
if(check(mid) >= x):
l = mid//2 + 1
ans1 = mid
else:
r = mid//2 - 1
#print(mid,check(mid))
l = 1
r = n
ans2 = 0
while(r >= l):
mid = (r+l)//2
mid = mid*2-1
if(check(mid) >= x):
l = (mid+1)//2 + 1
ans2 = mid
else:
r = (mid+1)//2 - 1
#print(mid,check(mid))
print(max(ans1,ans2))
``` | instruction | 0 | 50,613 | 5 | 101,226 |
Yes | output | 1 | 50,613 | 5 | 101,227 |
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