message stringlengths 2 48.6k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 318 108k | cluster float64 8 8 | __index_level_0__ int64 636 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty. | instruction | 0 | 98,269 | 8 | 196,538 |
Tags: implementation, math, math
Correct Solution:
```
#676B
arr = list(map(int, input().split(" ")))
n = arr[0]
t = arr[1]
glasses = 0
a = [[0] * (i + 1) for i in range(n+1)]
a[0][0] = t
for j in range(n):
for k in range(j + 1):
if a[j][k] >= 1:
glasses += 1
extra = a[j][k] - 1
a[j][k] = 1
a[j+1][k] += extra / 2.0
a[j+1][k+1] += extra / 2.0
print(min(glasses, n * (n+1)/2))
``` | output | 1 | 98,269 | 8 | 196,539 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty. | instruction | 0 | 98,270 | 8 | 196,540 |
Tags: implementation, math, math
Correct Solution:
```
import sys,math
res=[0]
n,m=map(int,input().split())
z=[]
need=0
for i in range(1,n+1):
need+=i
for i in range(1,n+1):
z.append([0]*i)
for i in range(1,m+1):
z[0][0]+=2
for i in range(n-1):
for j in range(i+1):
if z[i][j]>=2:
h=z[i][j]-2
z[i+1][j]+=h/2
z[i+1][j+1]+=h/2
z[i][j]=2
for j in range(n):
if z[-1][j]>=2:
z[-1][j]=2
s=0
for i in range(n):
s+=z[i].count(2)
print(s)
``` | output | 1 | 98,270 | 8 | 196,541 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty.
Submitted Solution:
```
class CodeforcesTask676BSolution:
def __init__(self):
self.result = ''
self.n_t = []
def read_input(self):
self.n_t = [int(x) for x in input().split(" ")]
def process_task(self):
glasses = [[0.0] * (x + 1) for x in range(self.n_t[0])]
for s in range(self.n_t[1]):
glasses[0][0] += 1.0
for x in range(self.n_t[0] - 1):
for y in range(x + 1):
if glasses[x][y] > 1.0:
to_pour = glasses[x][y] - 1.0
glasses[x + 1][y] += to_pour / 2
glasses[x + 1][y + 1] += to_pour / 2
glasses[x][y] = 1.0
full = 0
for g in glasses:
for glass in g:
if glass >= 1.0:
full += 1
self.result = str(full)
def get_result(self):
return self.result
if __name__ == "__main__":
Solution = CodeforcesTask676BSolution()
Solution.read_input()
Solution.process_task()
print(Solution.get_result())
``` | instruction | 0 | 98,271 | 8 | 196,542 |
Yes | output | 1 | 98,271 | 8 | 196,543 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty.
Submitted Solution:
```
n,t=map(int,input().split())
l=[[0]*(i+1) for i in range(n+1)]
l[0][0]=t
ans=0
for i in range(n):
for j in range(i+1):
if l[i][j]>=1:
ans+=1
l[i+1][j]+=(l[i][j]-1)/2
l[i+1][j+1]+=(l[i][j]-1)/2
print(ans)
``` | instruction | 0 | 98,272 | 8 | 196,544 |
Yes | output | 1 | 98,272 | 8 | 196,545 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty.
Submitted Solution:
```
def push(graph, pos, level):
if graph[pos] > 1:
over = graph[pos] - 1
graph[pos] = 1
if level + pos < numberofglasses:
graph[level + pos] += over / 2
if level + pos + 1 < numberofglasses:
graph[level + pos + 1] += over / 2
if level + pos < numberofglasses:
push(graph, level + pos, level + 1)
if level + pos + 1 < numberofglasses:
push(graph, level + pos + 1, level + 1)
n, t = map(int, input().split())
table = dict()
current = 0
for i in range(1, 11):
current += i
table[i] = current
graph = [0] * table[n]
numberofglasses = table[n]
graph[0] += t
push(graph, 0, 1)
counter = 0
for elem in graph:
if elem == 1:
counter += 1
print(counter)
``` | instruction | 0 | 98,273 | 8 | 196,546 |
Yes | output | 1 | 98,273 | 8 | 196,547 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty.
Submitted Solution:
```
n, k = map(int,input().split())
a = [[0]*i for i in range(1,12)]
a[0][0] = k
ans = 0
for i in range(n):
for j in range(len(a[i])):
if a[i][j] >= 1:
ans += 1
rem = a[i][j]-1
a[i][j] = 1
a[i+1][j] += rem/2
a[i+1][j+1] += rem/2
print(ans)
``` | instruction | 0 | 98,274 | 8 | 196,548 |
Yes | output | 1 | 98,274 | 8 | 196,549 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty.
Submitted Solution:
```
n, t = list(map(int, input().split()))
a = []
for i in range(n):
a.append([0] * (n + 1))
a[0][1] = t
ans = 0
for i in range(1, n):
for j in range(1, n + 1):
a[i][j] = max(0, (a[i - 1][j] - 1) / 2) + max(0, (a[i - 1][j - 1] - 1) / 2)
if a[i][j] >= 1:
ans += 1
print(ans + 1)
``` | instruction | 0 | 98,275 | 8 | 196,550 |
No | output | 1 | 98,275 | 8 | 196,551 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty.
Submitted Solution:
```
n, t = map(int,input().split())
g = [[0.0] * i for i in range(1,n+1)]
for _ in range(t):
g[0][0] += 1.0
for i in range(n - 1):
for j in range(i+1):
spill = max(0, g[i][j] - 1.0)
g[i][j] -= spill
if i < n - 1:
g[i + 1][j] += spill / 2
g[i + 1][j + 1] += spill / 2
cnt = 0
for i in range(n):
for j in range(i + 1):
if g[i][j] == 1.0:
cnt += 1
print(cnt)
``` | instruction | 0 | 98,276 | 8 | 196,552 |
No | output | 1 | 98,276 | 8 | 196,553 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty.
Submitted Solution:
```
n=input().split()
p=0
m=0
l=int(n[0])
t=int(n[1])
for j in range (l):
m=m+(j+1)
for i in range(t):
if i==0 :
result=1
elif result == m:
break
elif i==1:
next
elif i%2==0:
result += 2
elif i % 2 == 1:
p += 1
result += p
print (result)
``` | instruction | 0 | 98,277 | 8 | 196,554 |
No | output | 1 | 98,277 | 8 | 196,555 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Mary has just graduated from one well-known University and is now attending celebration party. Students like to dream of a beautiful life, so they used champagne glasses to construct a small pyramid. The height of the pyramid is n. The top level consists of only 1 glass, that stands on 2 glasses on the second level (counting from the top), then 3 glasses on the third level and so on.The bottom level consists of n glasses.
Vlad has seen in the movies many times how the champagne beautifully flows from top levels to bottom ones, filling all the glasses simultaneously. So he took a bottle and started to pour it in the glass located at the top of the pyramid.
Each second, Vlad pours to the top glass the amount of champagne equal to the size of exactly one glass. If the glass is already full, but there is some champagne flowing in it, then it pours over the edge of the glass and is equally distributed over two glasses standing under. If the overflowed glass is at the bottom level, then the champagne pours on the table. For the purpose of this problem we consider that champagne is distributed among pyramid glasses immediately. Vlad is interested in the number of completely full glasses if he stops pouring champagne in t seconds.
Pictures below illustrate the pyramid consisting of three levels.
<image> <image>
Input
The only line of the input contains two integers n and t (1 ≤ n ≤ 10, 0 ≤ t ≤ 10 000) — the height of the pyramid and the number of seconds Vlad will be pouring champagne from the bottle.
Output
Print the single integer — the number of completely full glasses after t seconds.
Examples
Input
3 5
Output
4
Input
4 8
Output
6
Note
In the first sample, the glasses full after 5 seconds are: the top glass, both glasses on the second level and the middle glass at the bottom level. Left and right glasses of the bottom level will be half-empty.
Submitted Solution:
```
# your code goes here
n,k1=map(int,input().split())
if(n==1):
print(1)
else:
print(abs(n-k1)+2)
``` | instruction | 0 | 98,278 | 8 | 196,556 |
No | output | 1 | 98,278 | 8 | 196,557 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Company trip
Problem Statement
Your company has n employees. For a group of m employees (a_i, b_i), a_i is the boss of b_i.
When employee x is the actual boss of employee y, it means that at least one of the following holds.
* x is y's boss.
* There is an employee z who is the actual boss of y, and x is the boss of z.
There are no employees in your company who are their actual bosses.
Your company is planning an employee trip with all employees participating. At the request of all employees, the room allocation at the inn must be "good room allocation".
A "good room allocation" means that both of the following are satisfied.
* Each employee is assigned to some room.
* When employee x and employee y are assigned to the same room, x is not the actual boss of y.
Since the secretary's employees are very talented, we allocated the rooms so that they were "good room allocation" and the number of required rooms was minimized. But unfortunately the budget is insufficient. It seems that the number of rooms required must be reduced.
Therefore, you who work in the human resources department decided to reduce the number of rooms required to obtain a "good room allocation" by eliminating only one boss-subordinate relationship.
Now, which relationship should be resolved?
Constraints
* 2 ≤ n ≤ 10 ^ 5
* 1 ≤ m ≤ 2 \ times 10 ^ 5
* 1 ≤ a_i <b_i ≤ n
* If i \ neq j, then (a_i, b_i) \ neq (a_j, b_j)
Input
Input follows the following format. All given numbers are integers.
n m
a_1 b_1
...
a_m b_m
Output
Output i that satisfies the following in ascending order, line by line.
* When the relationship "a_i is the boss of b_i" is resolved, the number of rooms required to obtain "good room allocation" can be reduced.
If such i does not exist, output -1 on one line.
Example
Input
5 4
1 2
2 3
3 4
3 5
Output
1
2
Submitted Solution:
```
def memoize(f):
cache = {}
def helper(arg):
if arg not in cache:
cache[arg] = f(arg)
return cache[arg]
return helper
def solve(edges):
@memoize
def tree_height(node):
en = edges[node]
if not en:
return 0, set()
max_depth = -1
max_bridges = None
for edge in en:
depth, bridges = tree_height(edge[0])
if depth > max_depth:
max_depth = depth
max_bridges = bridges.copy()
max_bridges.add(edge[1])
elif depth == max_depth:
max_bridges.intersection_update(bridges)
return max_depth + 1, max_bridges
removable = tree_height(0)[1]
print('\n'.join(map(str, sorted(removable)[1:])) if len(removable) > 1 else -1)
n, m = map(int, input().split())
root_flags = [False] + [True] * n
edges = [set() for _ in range(n + 1)]
for i in range(m):
a, b = map(int, input().split())
edges[a].add((b, i + 1))
root_flags[b] = False
edges[0] = set((i, -1) for i, f in enumerate(root_flags) if f)
solve(edges)
``` | instruction | 0 | 98,550 | 8 | 197,100 |
No | output | 1 | 98,550 | 8 | 197,101 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Company trip
Problem Statement
Your company has n employees. For a group of m employees (a_i, b_i), a_i is the boss of b_i.
When employee x is the actual boss of employee y, it means that at least one of the following holds.
* x is y's boss.
* There is an employee z who is the actual boss of y, and x is the boss of z.
There are no employees in your company who are their actual bosses.
Your company is planning an employee trip with all employees participating. At the request of all employees, the room allocation at the inn must be "good room allocation".
A "good room allocation" means that both of the following are satisfied.
* Each employee is assigned to some room.
* When employee x and employee y are assigned to the same room, x is not the actual boss of y.
Since the secretary's employees are very talented, we allocated the rooms so that they were "good room allocation" and the number of required rooms was minimized. But unfortunately the budget is insufficient. It seems that the number of rooms required must be reduced.
Therefore, you who work in the human resources department decided to reduce the number of rooms required to obtain a "good room allocation" by eliminating only one boss-subordinate relationship.
Now, which relationship should be resolved?
Constraints
* 2 ≤ n ≤ 10 ^ 5
* 1 ≤ m ≤ 2 \ times 10 ^ 5
* 1 ≤ a_i <b_i ≤ n
* If i \ neq j, then (a_i, b_i) \ neq (a_j, b_j)
Input
Input follows the following format. All given numbers are integers.
n m
a_1 b_1
...
a_m b_m
Output
Output i that satisfies the following in ascending order, line by line.
* When the relationship "a_i is the boss of b_i" is resolved, the number of rooms required to obtain "good room allocation" can be reduced.
If such i does not exist, output -1 on one line.
Example
Input
5 4
1 2
2 3
3 4
3 5
Output
1
2
Submitted Solution:
```
from functools import reduce
def hierarchize(n, f_edges, b_edges):
heights = [0] * n
height = 1
nodes = {edge[0] for i in range(n) if not f_edges[i] for edge in b_edges[i]}
while nodes:
for i in nodes:
heights[i] = height
nodes = {edge[0] for i in nodes for edge in b_edges[i]}
height += 1
node_hierarchy = [set() for _ in range(max(heights) + 1)]
for i in range(n):
node_hierarchy[heights[i]].add(i)
return node_hierarchy
n, m = map(int, input().split())
f_edges = [set() for _ in range(n)]
b_edges = [set() for _ in range(n)]
for i in range(m):
a, b = map(lambda x: int(x) - 1, input().split())
f_edges[a].add((b, i + 1))
b_edges[b].add((a, i + 1))
hierarchy = hierarchize(n, f_edges, b_edges)
prev = {}
for h, nodes in enumerate(hierarchy):
current = {}
for i in nodes:
max_bridges = set()
for edge in f_edges[i]:
if not edge[0] in prev:
continue
if not max_bridges:
max_bridges = prev[edge[0]].copy()
max_bridges.add(edge[1])
else:
max_bridges &= prev[edge[0]]
current[i] = max_bridges
prev = current
result = sorted(reduce(lambda r, c: r & c, prev.values()))
print('\n'.join(map(str, result)) if result else -1)
``` | instruction | 0 | 98,551 | 8 | 197,102 |
No | output | 1 | 98,551 | 8 | 197,103 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Company trip
Problem Statement
Your company has n employees. For a group of m employees (a_i, b_i), a_i is the boss of b_i.
When employee x is the actual boss of employee y, it means that at least one of the following holds.
* x is y's boss.
* There is an employee z who is the actual boss of y, and x is the boss of z.
There are no employees in your company who are their actual bosses.
Your company is planning an employee trip with all employees participating. At the request of all employees, the room allocation at the inn must be "good room allocation".
A "good room allocation" means that both of the following are satisfied.
* Each employee is assigned to some room.
* When employee x and employee y are assigned to the same room, x is not the actual boss of y.
Since the secretary's employees are very talented, we allocated the rooms so that they were "good room allocation" and the number of required rooms was minimized. But unfortunately the budget is insufficient. It seems that the number of rooms required must be reduced.
Therefore, you who work in the human resources department decided to reduce the number of rooms required to obtain a "good room allocation" by eliminating only one boss-subordinate relationship.
Now, which relationship should be resolved?
Constraints
* 2 ≤ n ≤ 10 ^ 5
* 1 ≤ m ≤ 2 \ times 10 ^ 5
* 1 ≤ a_i <b_i ≤ n
* If i \ neq j, then (a_i, b_i) \ neq (a_j, b_j)
Input
Input follows the following format. All given numbers are integers.
n m
a_1 b_1
...
a_m b_m
Output
Output i that satisfies the following in ascending order, line by line.
* When the relationship "a_i is the boss of b_i" is resolved, the number of rooms required to obtain "good room allocation" can be reduced.
If such i does not exist, output -1 on one line.
Example
Input
5 4
1 2
2 3
3 4
3 5
Output
1
2
Submitted Solution:
```
import sys
sys.setrecursionlimit(100000)
def memoize(f):
cache = [None] * (n + 1)
def helper(arg):
if cache[arg] is None:
cache[arg] = f(arg)
return cache[arg]
return helper
def solve(edges):
@memoize
def tree_height(node):
en = edges[node]
if not en:
return 0, set()
max_depth = -1
max_bridges = None
for edge in en:
depth, bridges = tree_height(edge[0])
if depth > max_depth:
max_depth = depth
max_bridges = bridges.copy()
max_bridges.add(edge[1])
elif depth == max_depth:
max_bridges &= bridges
return max_depth + 1, max_bridges
removable = sorted(filter(lambda x: x > 0, tree_height(0)[1]))
print('\n'.join(map(str, removable)) if removable else -1)
n, m = map(int, input().split())
root_flags = [False] + [True] * n
edges = [set() for _ in range(n + 1)]
for i in range(m):
a, b = map(int, input().split())
edges[a].add((b, i + 1))
root_flags[b] = False
edges[0] = set((i, -1) for i, f in enumerate(root_flags) if f)
solve(edges)
``` | instruction | 0 | 98,552 | 8 | 197,104 |
No | output | 1 | 98,552 | 8 | 197,105 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Company trip
Problem Statement
Your company has n employees. For a group of m employees (a_i, b_i), a_i is the boss of b_i.
When employee x is the actual boss of employee y, it means that at least one of the following holds.
* x is y's boss.
* There is an employee z who is the actual boss of y, and x is the boss of z.
There are no employees in your company who are their actual bosses.
Your company is planning an employee trip with all employees participating. At the request of all employees, the room allocation at the inn must be "good room allocation".
A "good room allocation" means that both of the following are satisfied.
* Each employee is assigned to some room.
* When employee x and employee y are assigned to the same room, x is not the actual boss of y.
Since the secretary's employees are very talented, we allocated the rooms so that they were "good room allocation" and the number of required rooms was minimized. But unfortunately the budget is insufficient. It seems that the number of rooms required must be reduced.
Therefore, you who work in the human resources department decided to reduce the number of rooms required to obtain a "good room allocation" by eliminating only one boss-subordinate relationship.
Now, which relationship should be resolved?
Constraints
* 2 ≤ n ≤ 10 ^ 5
* 1 ≤ m ≤ 2 \ times 10 ^ 5
* 1 ≤ a_i <b_i ≤ n
* If i \ neq j, then (a_i, b_i) \ neq (a_j, b_j)
Input
Input follows the following format. All given numbers are integers.
n m
a_1 b_1
...
a_m b_m
Output
Output i that satisfies the following in ascending order, line by line.
* When the relationship "a_i is the boss of b_i" is resolved, the number of rooms required to obtain "good room allocation" can be reduced.
If such i does not exist, output -1 on one line.
Example
Input
5 4
1 2
2 3
3 4
3 5
Output
1
2
Submitted Solution:
```
from functools import reduce
def hierarchize(n, f_edges, b_edges):
heights = [0] * n
height = 1
nodes = {edge[0] for i in range(n) if not f_edges[i] for edge in b_edges[i]}
while nodes:
for i in nodes:
heights[i] = height
nodes = {edge[0] for i in nodes for edge in b_edges[i]}
height += 1
node_hierarchy = [set() for _ in range(max(heights) + 1)]
for i in range(n):
node_hierarchy[heights[i]].add(i)
return node_hierarchy
n, m = map(int, input().split())
f_edges = [set() for _ in range(n)]
b_edges = [set() for _ in range(n)]
for i in range(m):
a, b = map(lambda x: int(x) - 1, input().split())
f_edges[a].add((b, i + 1))
b_edges[b].add((a, i + 1))
hierarchy = hierarchize(n, f_edges, b_edges)
max_height = len(hierarchy) - 1
results = [None for _ in range(n)]
for h, nodes in enumerate(hierarchy):
for i in nodes:
max_bridges = set()
for edge in f_edges[i]:
height, bridges = results[edge[0]]
if height == h - 1:
if not max_bridges:
max_bridges = bridges.copy()
max_bridges.add(edge[1])
else:
max_bridges &= bridges
results[i] = (h, max_bridges)
result = sorted(reduce(lambda r, c: r & c, (d[1] for d in results if d[0] == max_height)))
print('\n'.join(map(str, result)) if result else -1)
``` | instruction | 0 | 98,553 | 8 | 197,106 |
No | output | 1 | 98,553 | 8 | 197,107 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2 | instruction | 0 | 98,960 | 8 | 197,920 |
Tags: geometry
Correct Solution:
```
#!/bin/python
from math import sqrt
r, h = (int(x) for x in input().split(' '))
# You can always put two in each "row" of the rectangle and one in the dome
in_box = 2 * h // r + 1
# You can add an additional one, like so:
# O
# O
#
# since they all have radius r/2, you can get the height needed to add an additional one through Pythagorean theorem
remainder = h % r + r
height = r * sqrt(3) / 2 + r
if remainder < height:
print(in_box)
else:
print(in_box + 1)
``` | output | 1 | 98,960 | 8 | 197,921 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2 | instruction | 0 | 98,961 | 8 | 197,922 |
Tags: geometry
Correct Solution:
```
r, h = map(int, input().split())
half_count = (2 * h + r) // (2 * r)
res = 2 * half_count
x1 = 0
y1 = h + r / 2
x2 = r / 2
y2 = (r * (2 * half_count - 1)) / 2
if (x1 - x2) ** 2 + (y1 - y2) ** 2 >= r * r:
res += 1
print(res)
``` | output | 1 | 98,961 | 8 | 197,923 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2 | instruction | 0 | 98,962 | 8 | 197,924 |
Tags: geometry
Correct Solution:
```
r,h = map(int,input().split())
s = h%r
a = (h//r)*2
if s*s >= 3*r*r/4:
a += 3
elif 2*s >= r:
a += 2
else:
a += 1
print(a)
``` | output | 1 | 98,962 | 8 | 197,925 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2 | instruction | 0 | 98,963 | 8 | 197,926 |
Tags: geometry
Correct Solution:
```
r, h = map(int, input().split())
if (h%r)/r >= 3**0.5/2: print(2*(h//r)+3)
elif 0.5 <= (h%r)/r : print(2*(h//r)+2)
else: print(2*(h//r)+1)
``` | output | 1 | 98,963 | 8 | 197,927 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2 | instruction | 0 | 98,964 | 8 | 197,928 |
Tags: geometry
Correct Solution:
```
if __name__=='__main__':
inp = input()
arr = inp.split(" ")
r = int(arr[0])
h = int(arr[1])
ans = 2*(h//r)
d = h%r
if d*2>=r:
ans+=2
if 4*d*d >= 3*r*r:
ans+=1
else:
ans+=1
print(ans)
``` | output | 1 | 98,964 | 8 | 197,929 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2 | instruction | 0 | 98,965 | 8 | 197,930 |
Tags: geometry
Correct Solution:
```
from math import *
r, h = map(int, input().split())
d = h % r
if d * 2 < r:
print(h // r * 2 + 1)
elif sqrt(3) * (r / 2) + r - 1e-6 <= d + r:
print(h // r * 2 + 3)
else:
print(h // r * 2 + 2)
``` | output | 1 | 98,965 | 8 | 197,931 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2 | instruction | 0 | 98,966 | 8 | 197,932 |
Tags: geometry
Correct Solution:
```
r, h = map(int, input().split())
a = 2 * (h // r)
h = h % r
print (a + 1 + (2*h>=r) + (4*h*h >= 3*r*r))
# Made By Mostafa_Khaled
``` | output | 1 | 98,966 | 8 | 197,933 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2 | instruction | 0 | 98,967 | 8 | 197,934 |
Tags: geometry
Correct Solution:
```
r, h = map(int, input().split())
h *= 2
if h < r:
print(1)
exit(0)
r *= 2
ans = (h + r // 2) // r * 2
h -= r * (ans // 2 - 1)
if (h ** 2) * 4 >= (r ** 2) * 3:
ans += 1
print(ans)
``` | output | 1 | 98,967 | 8 | 197,935 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2
Submitted Solution:
```
r, h = map(int, input().split())
k = (h // r) * 2
d = h % r
if d >= 2 * r / 3 + 1:
k += 3
elif d >= r / 2:
k += 2
else:
k += 1
print(k)
``` | instruction | 0 | 98,968 | 8 | 197,936 |
Yes | output | 1 | 98,968 | 8 | 197,937 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2
Submitted Solution:
```
from math import sqrt
r,h = map (int, input().split())
count = h // r * 2
h -= h // r * r
if h >= sqrt(3) / 2 * r:
count += 3
elif h >= r / 2:
count += 2
else:
count += 1
print (count)
``` | instruction | 0 | 98,969 | 8 | 197,938 |
Yes | output | 1 | 98,969 | 8 | 197,939 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2
Submitted Solution:
```
r, h = map(int, input().split())
a = 2 * (h // r)
h = h % r
print (a + 1 + (2*h>=r) + (4*h*h >= 3*r*r))
``` | instruction | 0 | 98,970 | 8 | 197,940 |
Yes | output | 1 | 98,970 | 8 | 197,941 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2
Submitted Solution:
```
r, h = map(int, input().split())
d, p = (3 ** 0.5) / 2 - 1, h / r
print(max(1 + 2 * int(p - d), 2 * int(p + 0.5)))
``` | instruction | 0 | 98,971 | 8 | 197,942 |
Yes | output | 1 | 98,971 | 8 | 197,943 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2
Submitted Solution:
```
from math import sqrt
r,h = map (int, input().split())
count = h // r * 2
h -= h // r
if h >= sqrt(3) / 2 * r:
count += 3
elif h >= r / 2:
count += 2
else:
count += 1
print (count)
``` | instruction | 0 | 98,972 | 8 | 197,944 |
No | output | 1 | 98,972 | 8 | 197,945 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2
Submitted Solution:
```
import math
import sys
r,h=map(int,sys.stdin.readline().split())
v=(h)//r
x=h-(r*v)
chord=x-(r/2)
x=math.sqrt(3)/2
if(chord<0):
v*=2
v+=1
elif(h-(r*v)+(r/2)>=x*r):
v*=2
v+=3
else:
v*=2
v+=2
print(int(v))
``` | instruction | 0 | 98,973 | 8 | 197,946 |
No | output | 1 | 98,973 | 8 | 197,947 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2
Submitted Solution:
```
r, h=map(int,input().split())
num = h//r
ans = 0
if num:
rem = h%r
ans = num*2
if rem == r//2 and rem:
ans += 2
else:
ans += 1
else:
ans = 2
print(ans)
``` | instruction | 0 | 98,974 | 8 | 197,948 |
No | output | 1 | 98,974 | 8 | 197,949 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius r (the cupboard's top) and two walls of height h (the cupboard's sides). The cupboard's depth is r, that is, it looks like a rectangle with base r and height h + r from the sides. The figure below shows what the cupboard looks like (the front view is on the left, the side view is on the right).
<image>
Xenia got lots of balloons for her birthday. The girl hates the mess, so she wants to store the balloons in the cupboard. Luckily, each balloon is a sphere with radius <image>. Help Xenia calculate the maximum number of balloons she can put in her cupboard.
You can say that a balloon is in the cupboard if you can't see any part of the balloon on the left or right view. The balloons in the cupboard can touch each other. It is not allowed to squeeze the balloons or deform them in any way. You can assume that the cupboard's walls are negligibly thin.
Input
The single line contains two integers r, h (1 ≤ r, h ≤ 107).
Output
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
Examples
Input
1 1
Output
3
Input
1 2
Output
5
Input
2 1
Output
2
Submitted Solution:
```
r, h = map(int, input().split())
h *= 2
r *= 2
ans = (h + r // 2) // r * 2
h = r - h % r
if h ** 2 * 4 >= r ** 2 * 3:
ans += 1
print(ans)
``` | instruction | 0 | 98,975 | 8 | 197,950 |
No | output | 1 | 98,975 | 8 | 197,951 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | instruction | 0 | 99,160 | 8 | 198,320 |
Tags: data structures, implementation
Correct Solution:
```
string_len, condition_value = (int(x) for x in input().split())
idx___letter = list(input())
letter___start__finish = {}
for idx, letter in enumerate(idx___letter):
if letter not in letter___start__finish:
letter___start__finish[letter] = [idx, idx]
if letter___start__finish[letter][1] < idx:
letter___start__finish[letter][1] = idx
max_events_open = 0
curr_events_open = 0
for idx, letter in enumerate(idx___letter):
start, close = letter___start__finish[letter]
if idx == start:
curr_events_open += 1
max_events_open = max(max_events_open, curr_events_open)
if idx == close:
curr_events_open -= 1
if max_events_open > condition_value:
print('YES')
else:
print('NO')
``` | output | 1 | 99,160 | 8 | 198,321 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | instruction | 0 | 99,161 | 8 | 198,322 |
Tags: data structures, implementation
Correct Solution:
```
import sys
def func(dic1,dic2,s,alot):
for i in s:
if dic2[i] == 0:
alot += 1
dic2[i] += 1
else:
dic2[i] += 1
if alot>guards:
return False
if dic2[i]==dic1[i]:
alot -= 1
return True
dic1 = {}
dic2 = {}
guests,guards = [int(x) for x in sys.stdin.readline().split()]
s = sys.stdin.readline().strip()
alp = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
for i in alp:
dic1[i] = 0
dic2[i] = 0
for i in s:
dic1[i] += 1
alot = 0
if func(dic1,dic2,s,alot):
sys.stdout.write('NO')
else:
sys.stdout.write('YES')
``` | output | 1 | 99,161 | 8 | 198,323 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | instruction | 0 | 99,162 | 8 | 198,324 |
Tags: data structures, implementation
Correct Solution:
```
n,k=(int(i )for i in input().split())
s=input()
a=[0]*n
b=[]
x=k
y=0
alf='ABCDEFGHIJKLMNOPQRSTUVWXYZ'
end=[s.rfind(i) for i in alf]
begin=[s.find(i) for i in alf]
f=False
ans=False
for i in range(n):
find=alf.find(s[i])
if ((i!=end[find]) and not(s[i] in b)) or ((begin[find]==end[find])):
b.append(s[i])
x-=1;
elif (i==end[find]) and (i!=begin[find]):
x+=1
if x<0:
ans=True
break
if begin[find]==end[find]:
x+=1
print('YES' if ans else 'NO')
``` | output | 1 | 99,162 | 8 | 198,325 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | instruction | 0 | 99,163 | 8 | 198,326 |
Tags: data structures, implementation
Correct Solution:
```
from collections import deque
n, k = list(map(int, input().split()))
s = input()
rs = s[::-1]
alpha = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
last = {}
for c in alpha:
p = rs.find(c)
if p != -1:
last.update({c: n - p - 1})
amount = 0
o = deque()
c = 0
for i in range(len(s)):
if s[i] not in o:
o.append(s[i])
c += 1
if c > k:
print('YES')
break
if i == last[s[i]]:
c -= 1
else:
print('NO')
``` | output | 1 | 99,163 | 8 | 198,327 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | instruction | 0 | 99,164 | 8 | 198,328 |
Tags: data structures, implementation
Correct Solution:
```
from collections import defaultdict
n,k=map(int,input().split())
s=input()
d=defaultdict(lambda:[-1,-1])
s1=s[::-1]
for x in range(65,91):
if s.find(chr(x))!=-1:
d[chr(x)][0]=s.find(chr(x))
d[chr(x)][1]=(n-1)-s1.find(chr(x))
t=s[0]
k1=1
f=0
for x in range(1,n):
if s[x]!=t and d[s[x-1]][1]!=x-1 and d[s[x]][0]==x:
k1+=1
if k1>k:
f=1
break
elif d[s[x]][0]!=x and d[s[x-1]][1]==x-1:
k1-=1
t=s[x]
if f:
print("YES")
else:
print("NO")
``` | output | 1 | 99,164 | 8 | 198,329 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | instruction | 0 | 99,165 | 8 | 198,330 |
Tags: data structures, implementation
Correct Solution:
```
from time import time
n, k = map(int, input().split())
g = input()
e = [-1] * 26
for i in range(n):
e[ord(g[i]) - 65] = i
curS = 0
f = 1
met = [0] * 26
for i in range(n):
if not met[ord(g[i]) - 65]:
curS += 1
met[ord(g[i]) - 65] = 1
if curS > k:
f = 0
break
if i == e[ord(g[i]) - 65]:
curS -= 1
if f: print("NO")
else: print("YES")
``` | output | 1 | 99,165 | 8 | 198,331 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | instruction | 0 | 99,166 | 8 | 198,332 |
Tags: data structures, implementation
Correct Solution:
```
"""
Author : Arif Ahmad
Date :
Algo :
Difficulty :
"""
from sys import stdin, stdout
def main():
n, k = [int(_) for _ in stdin.readline().strip().split()]
s = stdin.readline().strip()
last = dict()
for i in range(26):
c = chr(ord('A') + i)
for j in range(n-1, -1, -1):
if s[j] == c:
last[c] = j
break
guardAssigned = dict()
for i in range(26):
c = chr(ord('A') + i)
guardAssigned[c] = False
totalGuard = 0
maxGuard = 0
for i, c in enumerate(s):
if not guardAssigned[c]:
guardAssigned[c] = True
totalGuard += 1
maxGuard = max(maxGuard, totalGuard)
if i == last[c]:
totalGuard -= 1
#print('maxgurad:', maxGuard)
if maxGuard > k: stdout.write('YES\n')
else: stdout.write('NO\n')
if __name__ == '__main__':
main()
``` | output | 1 | 99,166 | 8 | 198,333 |
Provide tags and a correct Python 3 solution for this coding contest problem.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door. | instruction | 0 | 99,167 | 8 | 198,334 |
Tags: data structures, implementation
Correct Solution:
```
n, k = map(int, input().split())
s = input()
d1 = {}
d2 = {}
for i, v in enumerate(s):
if v not in d1: d1[v] = i
d2[v] = i
order = []
for v in d1:
order.append((d1[v], -1))
order.append((d2[v], 1))
order.sort()
cur = k
for _, v in order:
cur += v
if cur < 0:
print("YES")
break
else:
print("NO")
``` | output | 1 | 99,167 | 8 | 198,335 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
Submitted Solution:
```
n,k=map(int,input().split())
s=input()
flag=False
last_pos={}
gate=set()
for i in range(len(s)):
last_pos[s[i]]=i
#print(last_pos)
for i in range(len(s)):
gate.add(s[i])
if len(gate)>k:
flag=True
break
if last_pos[s[i]]==i:
gate.remove(s[i])
if flag:
print('YES')
else:
print('NO')
``` | instruction | 0 | 99,168 | 8 | 198,336 |
Yes | output | 1 | 99,168 | 8 | 198,337 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
Submitted Solution:
```
n, k = [int(x) for x in input().split()]
a = [ord(x) for x in list(input())]
b = [0] * 32
for i in a:
b[i - 65] += 1
c = [0] * 32
i = 0
f = 0
for i in a:
c[i - 65] += 1
if c[i - 65] == 1:
k -= 1
if k < 0:
f = 1
break
if c[i - 65] == b[i - 65] :
k += 1
if f == 1:
print('YES')
else:
print('NO')
``` | instruction | 0 | 99,169 | 8 | 198,338 |
Yes | output | 1 | 99,169 | 8 | 198,339 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
Submitted Solution:
```
from sys import stdin
input=lambda : stdin.readline().strip()
from math import ceil,sqrt,factorial
INT_MIN=float("-infinity")
INT_MAX=float("infinity")
n,k=map(int,input().split())
flag='NO'
d=set()
z={}
s=input()
for i in range(n):
z[s[i]]=i
for i in range(n):
d.add(s[i])
# print(d)
if len(d)>k:
flag='YES'
break
if z[s[i]]==i:
d.remove(s[i])
print(flag)
``` | instruction | 0 | 99,170 | 8 | 198,340 |
Yes | output | 1 | 99,170 | 8 | 198,341 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
Submitted Solution:
```
import os
from io import BytesIO
def main():
input = BytesIO(os.read(0, os.fstat(0).st_size)).readline
n, k = map(int, input().split())
g = [x - 65 for x in input()]
e = [-1] * 26
for i in range(n):
e[g[i]] = i
curS = 0
f = 1
met = [0] * 26
for i in range(n):
if not met[g[i]]:
curS += 1
met[g[i]] = 1
if curS > k:
f = 0
break
if i == e[g[i]]:
curS -= 1
print('NO' if f else 'YES')
main()
``` | instruction | 0 | 99,171 | 8 | 198,342 |
Yes | output | 1 | 99,171 | 8 | 198,343 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
Submitted Solution:
```
n, k = [int(x) for x in input().split()]
a = [ord(x) for x in list(input())]
b = [0] * 26
for i in a:
b[i - 65] += 1
c = [0] * 26
i = 0
f = 0
while i != len(a):
c[a[i] - 65] += 1
if c[a[i] - 65] == 1:
k -= 1
elif c[a[i] - 65] == b[a[i] - 65]:
k += 1
i += 1
if k < 0:
f = 1
if f == 1:
print('YES')
else:
print('NO')
``` | instruction | 0 | 99,172 | 8 | 198,344 |
No | output | 1 | 99,172 | 8 | 198,345 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
Submitted Solution:
```
#Proti letter shurur age ki obostha ache shei hisab korte hobe
#Ki obostha ache sheita khujar jonno (Age joto jon shuru - age jotojon sesh)
temp=input().split(" ")
n=int(temp[0])
k=int(temp[1])
s=input()
alphabet=set(s)
starts=[]
ends=[]
for x in alphabet:
starts.append(s.index(x))
ends.append(s.rindex(x))
res=0
for x in ends:
count=0
for y in starts:
if y<x:
count+=1
for y in ends:
if y<x:
count-=1
if count>=k:
res=1
if res:
print("YES")
else:
print("NO")
``` | instruction | 0 | 99,173 | 8 | 198,346 |
No | output | 1 | 99,173 | 8 | 198,347 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
Submitted Solution:
```
n,k=map(int,input().split())
exp=input()
last='B'
cnt=0
b=[-1]*27
e=[-1]*27
Cnt=[0]*27
for i in range(n):
tmp=ord(exp[i])-ord('A')
if b[tmp]==-1:
b[tmp]=i
e[tmp]=i
for i in range(n):
tmp=ord(exp[i])-ord('A')
for j in range(tmp):
if b[j]<i and e[j]>i:
Cnt[tmp]=1
for i in range(26):
cnt+=Cnt[i]
if cnt>=k:
print('YES')
else:
print('NO')
``` | instruction | 0 | 99,174 | 8 | 198,348 |
No | output | 1 | 99,174 | 8 | 198,349 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
It's the end of July – the time when a festive evening is held at Jelly Castle! Guests from all over the kingdom gather here to discuss new trends in the world of confectionery. Yet some of the things discussed here are not supposed to be disclosed to the general public: the information can cause discord in the kingdom of Sweetland in case it turns out to reach the wrong hands. So it's a necessity to not let any uninvited guests in.
There are 26 entrances in Jelly Castle, enumerated with uppercase English letters from A to Z. Because of security measures, each guest is known to be assigned an entrance he should enter the castle through. The door of each entrance is opened right before the first guest's arrival and closed right after the arrival of the last guest that should enter the castle through this entrance. No two guests can enter the castle simultaneously.
For an entrance to be protected from possible intrusion, a candy guard should be assigned to it. There are k such guards in the castle, so if there are more than k opened doors, one of them is going to be left unguarded! Notice that a guard can't leave his post until the door he is assigned to is closed.
Slastyona had a suspicion that there could be uninvited guests at the evening. She knows the order in which the invited guests entered the castle, and wants you to help her check whether there was a moment when more than k doors were opened.
Input
Two integers are given in the first string: the number of guests n and the number of guards k (1 ≤ n ≤ 106, 1 ≤ k ≤ 26).
In the second string, n uppercase English letters s1s2... sn are given, where si is the entrance used by the i-th guest.
Output
Output «YES» if at least one door was unguarded during some time, and «NO» otherwise.
You can output each letter in arbitrary case (upper or lower).
Examples
Input
5 1
AABBB
Output
NO
Input
5 1
ABABB
Output
YES
Note
In the first sample case, the door A is opened right before the first guest's arrival and closed when the second guest enters the castle. The door B is opened right before the arrival of the third guest, and closed after the fifth one arrives. One guard can handle both doors, as the first one is closed before the second one is opened.
In the second sample case, the door B is opened before the second guest's arrival, but the only guard can't leave the door A unattended, as there is still one more guest that should enter the castle through this door.
Submitted Solution:
```
from collections import Counter
n,k=map(int,input().split())
s=input()
a=list(s)
count=0
b=Counter(a)
c=[]
for k1,v in b.items():
c.append(v)
ans=n
for i in range(len(c)):
if(c[i]>1):
count=count+1
ans=ans-1
if(ans!=0):
count=count+1
if(count-1>k):
print("YES")
else:
print("NO")
``` | instruction | 0 | 99,175 | 8 | 198,350 |
No | output | 1 | 99,175 | 8 | 198,351 |
Provide tags and a correct Python 3 solution for this coding contest problem.
In the year of 30XX participants of some world programming championship live in a single large hotel. The hotel has n floors. Each floor has m sections with a single corridor connecting all of them. The sections are enumerated from 1 to m along the corridor, and all sections with equal numbers on different floors are located exactly one above the other. Thus, the hotel can be represented as a rectangle of height n and width m. We can denote sections with pairs of integers (i, j), where i is the floor, and j is the section number on the floor.
The guests can walk along the corridor on each floor, use stairs and elevators. Each stairs or elevator occupies all sections (1, x), (2, x), …, (n, x) for some x between 1 and m. All sections not occupied with stairs or elevators contain guest rooms. It takes one time unit to move between neighboring sections on the same floor or to move one floor up or down using stairs. It takes one time unit to move up to v floors in any direction using an elevator. You can assume you don't have to wait for an elevator, and the time needed to enter or exit an elevator is negligible.
You are to process q queries. Each query is a question "what is the minimum time needed to go from a room in section (x_1, y_1) to a room in section (x_2, y_2)?"
Input
The first line contains five integers n, m, c_l, c_e, v (2 ≤ n, m ≤ 10^8, 0 ≤ c_l, c_e ≤ 10^5, 1 ≤ c_l + c_e ≤ m - 1, 1 ≤ v ≤ n - 1) — the number of floors and section on each floor, the number of stairs, the number of elevators and the maximum speed of an elevator, respectively.
The second line contains c_l integers l_1, …, l_{c_l} in increasing order (1 ≤ l_i ≤ m), denoting the positions of the stairs. If c_l = 0, the second line is empty.
The third line contains c_e integers e_1, …, e_{c_e} in increasing order, denoting the elevators positions in the same format. It is guaranteed that all integers l_i and e_i are distinct.
The fourth line contains a single integer q (1 ≤ q ≤ 10^5) — the number of queries.
The next q lines describe queries. Each of these lines contains four integers x_1, y_1, x_2, y_2 (1 ≤ x_1, x_2 ≤ n, 1 ≤ y_1, y_2 ≤ m) — the coordinates of starting and finishing sections for the query. It is guaranteed that the starting and finishing sections are distinct. It is also guaranteed that these sections contain guest rooms, i. e. y_1 and y_2 are not among l_i and e_i.
Output
Print q integers, one per line — the answers for the queries.
Example
Input
5 6 1 1 3
2
5
3
1 1 5 6
1 3 5 4
3 3 5 3
Output
7
5
4
Note
In the first query the optimal way is to go to the elevator in the 5-th section in four time units, use it to go to the fifth floor in two time units and go to the destination in one more time unit.
In the second query it is still optimal to use the elevator, but in the third query it is better to use the stairs in the section 2. | instruction | 0 | 99,192 | 8 | 198,384 |
Tags: binary search
Correct Solution:
```
from bisect import bisect_left
input = __import__('sys').stdin.readline
MIS = lambda: map(int,input().split())
def walk(x1, y1, x2, y2, L, v):
if y1 == y2: return abs(x2-x1)
dy = abs(y1-y2)
vertical = dy // v
if dy%v: vertical+= 1
i = bisect_left(L, x1)
xs1 = L[i-1] if 0<=i-1<len(L) else float('inf')
xs2 = L[i] if 0<=i<len(L) else float('inf')
xs3 = L[i+1] if 0<=i+1<len(L) else float('inf')
d = min(abs(x1-xs1)+abs(xs1-x2), abs(x1-xs2)+abs(xs2-x2), abs(x1-xs3)+abs(xs3-x2))
return d + vertical
n, m, cs, ce, v = MIS()
sta = list(MIS())
ele = list(MIS())
for TEST in range(int(input())):
y1, x1, y2, x2 = MIS()
if x1 > x2:
x1, x2 = x2, x1
y1, y2 = y2, y1
print(min(walk(x1, y1, x2, y2, sta, 1), walk(x1, y1, x2, y2, ele, v)))
``` | output | 1 | 99,192 | 8 | 198,385 |
Provide tags and a correct Python 3 solution for this coding contest problem.
In the year of 30XX participants of some world programming championship live in a single large hotel. The hotel has n floors. Each floor has m sections with a single corridor connecting all of them. The sections are enumerated from 1 to m along the corridor, and all sections with equal numbers on different floors are located exactly one above the other. Thus, the hotel can be represented as a rectangle of height n and width m. We can denote sections with pairs of integers (i, j), where i is the floor, and j is the section number on the floor.
The guests can walk along the corridor on each floor, use stairs and elevators. Each stairs or elevator occupies all sections (1, x), (2, x), …, (n, x) for some x between 1 and m. All sections not occupied with stairs or elevators contain guest rooms. It takes one time unit to move between neighboring sections on the same floor or to move one floor up or down using stairs. It takes one time unit to move up to v floors in any direction using an elevator. You can assume you don't have to wait for an elevator, and the time needed to enter or exit an elevator is negligible.
You are to process q queries. Each query is a question "what is the minimum time needed to go from a room in section (x_1, y_1) to a room in section (x_2, y_2)?"
Input
The first line contains five integers n, m, c_l, c_e, v (2 ≤ n, m ≤ 10^8, 0 ≤ c_l, c_e ≤ 10^5, 1 ≤ c_l + c_e ≤ m - 1, 1 ≤ v ≤ n - 1) — the number of floors and section on each floor, the number of stairs, the number of elevators and the maximum speed of an elevator, respectively.
The second line contains c_l integers l_1, …, l_{c_l} in increasing order (1 ≤ l_i ≤ m), denoting the positions of the stairs. If c_l = 0, the second line is empty.
The third line contains c_e integers e_1, …, e_{c_e} in increasing order, denoting the elevators positions in the same format. It is guaranteed that all integers l_i and e_i are distinct.
The fourth line contains a single integer q (1 ≤ q ≤ 10^5) — the number of queries.
The next q lines describe queries. Each of these lines contains four integers x_1, y_1, x_2, y_2 (1 ≤ x_1, x_2 ≤ n, 1 ≤ y_1, y_2 ≤ m) — the coordinates of starting and finishing sections for the query. It is guaranteed that the starting and finishing sections are distinct. It is also guaranteed that these sections contain guest rooms, i. e. y_1 and y_2 are not among l_i and e_i.
Output
Print q integers, one per line — the answers for the queries.
Example
Input
5 6 1 1 3
2
5
3
1 1 5 6
1 3 5 4
3 3 5 3
Output
7
5
4
Note
In the first query the optimal way is to go to the elevator in the 5-th section in four time units, use it to go to the fifth floor in two time units and go to the destination in one more time unit.
In the second query it is still optimal to use the elevator, but in the third query it is better to use the stairs in the section 2. | instruction | 0 | 99,193 | 8 | 198,386 |
Tags: binary search
Correct Solution:
```
# python3
import sys
from bisect import bisect
def readline(): return tuple(map(int, input().split()))
def readlines():
return (tuple(map(int, line.split())) for line in sys.stdin.readlines())
def bisect_bounds(arr, val):
idx = bisect(arr, val)
if idx: yield idx - 1
if idx < len(arr): yield idx
class Minimizator:
def __init__(self, value=float('inf')):
self.value = value
def eat(self, value):
self.value = min(self.value, value)
def main():
n, m, cl, ce, v = readline()
l = readline()
e = readline()
assert len(l) == cl
assert len(e) == ce
q, = readline()
answers = list()
for (x1, y1, x2, y2) in readlines():
if x1 == x2:
answers.append(abs(y1 - y2))
else:
ans = Minimizator(n + 2*m)
for idx in bisect_bounds(l, y1):
ladder = l[idx]
ans.eat(abs(x1 - x2) + abs(ladder - y1) + abs(ladder - y2))
for idx in bisect_bounds(e, y1):
elevator = e[idx]
ans.eat((abs(x1 - x2) - 1) // v + 1
+ abs(elevator - y1) + abs(elevator - y2))
answers.append(ans.value)
print("\n".join(map(str, answers)))
main()
``` | output | 1 | 99,193 | 8 | 198,387 |
Provide tags and a correct Python 3 solution for this coding contest problem.
In the year of 30XX participants of some world programming championship live in a single large hotel. The hotel has n floors. Each floor has m sections with a single corridor connecting all of them. The sections are enumerated from 1 to m along the corridor, and all sections with equal numbers on different floors are located exactly one above the other. Thus, the hotel can be represented as a rectangle of height n and width m. We can denote sections with pairs of integers (i, j), where i is the floor, and j is the section number on the floor.
The guests can walk along the corridor on each floor, use stairs and elevators. Each stairs or elevator occupies all sections (1, x), (2, x), …, (n, x) for some x between 1 and m. All sections not occupied with stairs or elevators contain guest rooms. It takes one time unit to move between neighboring sections on the same floor or to move one floor up or down using stairs. It takes one time unit to move up to v floors in any direction using an elevator. You can assume you don't have to wait for an elevator, and the time needed to enter or exit an elevator is negligible.
You are to process q queries. Each query is a question "what is the minimum time needed to go from a room in section (x_1, y_1) to a room in section (x_2, y_2)?"
Input
The first line contains five integers n, m, c_l, c_e, v (2 ≤ n, m ≤ 10^8, 0 ≤ c_l, c_e ≤ 10^5, 1 ≤ c_l + c_e ≤ m - 1, 1 ≤ v ≤ n - 1) — the number of floors and section on each floor, the number of stairs, the number of elevators and the maximum speed of an elevator, respectively.
The second line contains c_l integers l_1, …, l_{c_l} in increasing order (1 ≤ l_i ≤ m), denoting the positions of the stairs. If c_l = 0, the second line is empty.
The third line contains c_e integers e_1, …, e_{c_e} in increasing order, denoting the elevators positions in the same format. It is guaranteed that all integers l_i and e_i are distinct.
The fourth line contains a single integer q (1 ≤ q ≤ 10^5) — the number of queries.
The next q lines describe queries. Each of these lines contains four integers x_1, y_1, x_2, y_2 (1 ≤ x_1, x_2 ≤ n, 1 ≤ y_1, y_2 ≤ m) — the coordinates of starting and finishing sections for the query. It is guaranteed that the starting and finishing sections are distinct. It is also guaranteed that these sections contain guest rooms, i. e. y_1 and y_2 are not among l_i and e_i.
Output
Print q integers, one per line — the answers for the queries.
Example
Input
5 6 1 1 3
2
5
3
1 1 5 6
1 3 5 4
3 3 5 3
Output
7
5
4
Note
In the first query the optimal way is to go to the elevator in the 5-th section in four time units, use it to go to the fifth floor in two time units and go to the destination in one more time unit.
In the second query it is still optimal to use the elevator, but in the third query it is better to use the stairs in the section 2. | instruction | 0 | 99,194 | 8 | 198,388 |
Tags: binary search
Correct Solution:
```
def takeClosest(myList, myNumber):
"""
Assumes myList is sorted. Returns closest value to myNumber.
If two numbers are equally close, return the smallest number.
"""
if len(myList) == 0:
return 9e10
pos = bisect_left(myList, myNumber)
if pos == 0:
return myList[0]
if pos == len(myList):
return myList[-1]
before = myList[pos - 1]
after = myList[pos]
if after - myNumber < myNumber - before:
return after
else:
return before
from bisect import bisect_left
from math import ceil
n, m, n_stairs, n_elevators, v = map(int, input().split(" "))
if n_stairs > 0:
stairs = list(map(int, input().split(" ")))
else:
stairs = []
input()
if n_elevators > 0:
elevators = list(map(int, input().split(" ")))
else:
elevators = []
input()
queries = int(input())
res = []
for i in range(queries):
x1, y1, x2, y2 = map(int, input().split(" "))
next_elevator = takeClosest(elevators, (y1 + y2) / 2)
next_stairs = takeClosest(stairs, (y1 + y2) / 2)
time_elevator = abs(x1 - x2) / v
time_stairs = abs(x1 - x2)
mi = min(y1, y2)
ma = max(y1, y2)
if next_elevator < mi:
time_elevator += (mi - next_elevator) * 2
elif next_elevator > ma:
time_elevator += (next_elevator - ma) * 2
if next_stairs < mi:
time_stairs += (mi - next_stairs) * 2
elif next_stairs > ma:
time_stairs += (next_stairs - ma) * 2
dis = abs(y1 - y2)
if time_elevator < time_stairs:
dis += time_elevator
else:
dis += time_stairs
if x1 == x2:
res.append(abs(y1 - y2))
else:
res.append(ceil(dis))
print(*res, sep="\n")
# Made By Mostafa_Khaled
``` | output | 1 | 99,194 | 8 | 198,389 |
Provide tags and a correct Python 3 solution for this coding contest problem.
In the year of 30XX participants of some world programming championship live in a single large hotel. The hotel has n floors. Each floor has m sections with a single corridor connecting all of them. The sections are enumerated from 1 to m along the corridor, and all sections with equal numbers on different floors are located exactly one above the other. Thus, the hotel can be represented as a rectangle of height n and width m. We can denote sections with pairs of integers (i, j), where i is the floor, and j is the section number on the floor.
The guests can walk along the corridor on each floor, use stairs and elevators. Each stairs or elevator occupies all sections (1, x), (2, x), …, (n, x) for some x between 1 and m. All sections not occupied with stairs or elevators contain guest rooms. It takes one time unit to move between neighboring sections on the same floor or to move one floor up or down using stairs. It takes one time unit to move up to v floors in any direction using an elevator. You can assume you don't have to wait for an elevator, and the time needed to enter or exit an elevator is negligible.
You are to process q queries. Each query is a question "what is the minimum time needed to go from a room in section (x_1, y_1) to a room in section (x_2, y_2)?"
Input
The first line contains five integers n, m, c_l, c_e, v (2 ≤ n, m ≤ 10^8, 0 ≤ c_l, c_e ≤ 10^5, 1 ≤ c_l + c_e ≤ m - 1, 1 ≤ v ≤ n - 1) — the number of floors and section on each floor, the number of stairs, the number of elevators and the maximum speed of an elevator, respectively.
The second line contains c_l integers l_1, …, l_{c_l} in increasing order (1 ≤ l_i ≤ m), denoting the positions of the stairs. If c_l = 0, the second line is empty.
The third line contains c_e integers e_1, …, e_{c_e} in increasing order, denoting the elevators positions in the same format. It is guaranteed that all integers l_i and e_i are distinct.
The fourth line contains a single integer q (1 ≤ q ≤ 10^5) — the number of queries.
The next q lines describe queries. Each of these lines contains four integers x_1, y_1, x_2, y_2 (1 ≤ x_1, x_2 ≤ n, 1 ≤ y_1, y_2 ≤ m) — the coordinates of starting and finishing sections for the query. It is guaranteed that the starting and finishing sections are distinct. It is also guaranteed that these sections contain guest rooms, i. e. y_1 and y_2 are not among l_i and e_i.
Output
Print q integers, one per line — the answers for the queries.
Example
Input
5 6 1 1 3
2
5
3
1 1 5 6
1 3 5 4
3 3 5 3
Output
7
5
4
Note
In the first query the optimal way is to go to the elevator in the 5-th section in four time units, use it to go to the fifth floor in two time units and go to the destination in one more time unit.
In the second query it is still optimal to use the elevator, but in the third query it is better to use the stairs in the section 2. | instruction | 0 | 99,195 | 8 | 198,390 |
Tags: binary search
Correct Solution:
```
from __future__ import division, print_function
import bisect
import math
import itertools
import sys
from atexit import register
if sys.version_info[0] < 3:
from io import BytesIO as stream
else:
from io import StringIO as stream
if sys.version_info[0] < 3:
class dict(dict):
"""dict() -> new empty dictionary"""
def items(self):
"""D.items() -> a set-like object providing a view on D's items"""
return dict.iteritems(self)
def keys(self):
"""D.keys() -> a set-like object providing a view on D's keys"""
return dict.iterkeys(self)
def values(self):
"""D.values() -> an object providing a view on D's values"""
return dict.itervalues(self)
input = raw_input
range = xrange
filter = itertools.ifilter
map = itertools.imap
zip = itertools.izip
def sync_with_stdio(sync=True):
"""Set whether the standard Python streams are allowed to buffer their I/O.
Args:
sync (bool, optional): The new synchronization setting.
"""
global input, flush
if sync:
flush = sys.stdout.flush
else:
sys.stdin = stream(sys.stdin.read())
input = lambda: sys.stdin.readline().rstrip('\r\n')
sys.stdout = stream()
register(lambda: sys.__stdout__.write(sys.stdout.getvalue()))
def main():
n,m,c1,ce,v=map(int,input().split())
posstairs=list(map(int,input().split()))
posele=list(map(int,input().split()))
q=int(input())
for i in range(0,q):
y1,x1,y2,x2=map(int,input().split())
if x2<x1:
x1,x2=x2,x1
if ce!=0:
ind1=bisect.bisect_left(posele,x1)
if ind1==ce:
ind1-=1
t1=abs(x1-posele[ind1])+abs(posele[ind1]-x2)+math.ceil(abs(y2-y1)/v)
ind1-=1
if ind1>=0:
t1=min(t1,abs(x1-posele[ind1])+abs(posele[ind1]-x2)+math.ceil(abs(y2-y1)/v))
if c1!=0:
ind3=bisect.bisect_left(posstairs,x1)
if ind3==c1:
ind3-=1
t2=abs(x1-posstairs[ind3])+abs(posstairs[ind3]-x2)+abs(y2-y1)
ind3-=1
if ind3>=0:
t2=min(t2,abs(x1-posstairs[ind3])+abs(posstairs[ind3]-x2)+abs(y2-y1))
if y1==y2:
print(abs(x2-x1))
elif ce!=0 and c1!=0:
print(min(t1,t2))
elif ce!=0:
print(t1)
else :
print(t2)
if __name__ == '__main__':
sync_with_stdio(False)
main()
``` | output | 1 | 99,195 | 8 | 198,391 |
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