Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

import bisect

def resolve():
    N = int(input())
    S = input().strip()
    Q = int(input())
    table = [[] for _ in range(26)]
    for i in range(len(S)):
        ch = S[i]
        bisect.insort(table[ord(ch)-ord('a')], i+1)

    for i in range(Q):
        query = input().strip().split()
        if query[0] == '1':
            pos = int(query[1])
            old_ch = ord(S[pos-1]) - ord('a')
            new_ch = ord(query[2]) - ord('a')
            if old_ch != new_ch:
                bisect.insort(table[new_ch], pos)
                table[old_ch].remove(pos)
                S = S[:pos-1] + query[2] + S[pos:]
        else:
            left = int(query[1])
            right = int(query[2])
            count = 0
            for j in range(26):
                k = bisect.bisect_left(table[j], left)
                if k != len(table[j]) and table[j][k] <= right:
                    count +=1
            print(count)
            
resolve()

### FIXED CODE ###

SIZE = 2**20 # 2**20 > N=500000

class SegmentTree:
    def __init__(self, size):
        self.size = size
        self.seg = [0] * (2 * size)

    def update(self, pos, ch):
        # update leaf
        i = self.size + pos - 1
        self.seg[i] = 1 << (ord(ch)-ord('a'))
        # update tree
        while i > 0:
            i = (i - 1) // 2
            self.seg[i] = self.seg[i*2+1] | self.seg[i*2+2]

    def _query(self, a, b, k, left, right):
        if right<a or b<left:
            return 0
        if a<=left and right<=b:
            return self.seg[k]

        vl = self._query(a,b,k*2+1, left, (left+right)//2)
        vr = self._query(a,b,k*2+2, (left+right)//2+1, right)
        return vl | vr

    def query(self, a, b):
        return self._query(a,b,0,0,self.size-1)


def resolve():
    N = int(input())
    S = input().strip()
    Q = int(input())
    table = [[] for _ in range(26)]
    sg = SegmentTree(SIZE)
    for i,ch in enumerate(S):
        sg.update(i, ch)

    for i in range(Q):
        query = input().strip().split()
        if query[0] == '1':
            pos = int(query[1])-1
            sg.update(pos, query[2])
        else:
            left = int(query[1])-1
            right = int(query[2])-1
            bits = sg.query(left, right)
            count = 0
            for j in range(26):
                count += (bits>>j) & 1
            print(count)

resolve()
### BUGGY CODE ###

from copy import deepcopy
from decimal import Decimal
n = int(input())
a = [int(Decimal(input()) * (pow(10, 9))) for i in range(n)]
l = [[0] * 19 for i in range(19)]
ans = 0
for i in a:
    cnt2 = 0
    i2 = deepcopy(i)
    while i2 % 2 == 0 and cnt2 < 18:
        i2 //= 2
        cnt2 += 1
    cnt5 = 0
    i5 = deepcopy(i)
    while i5 % 5 == 0 and cnt5 < 18:
        i5 //= 5
        cnt5 += 1
    ans += l[19 - cnt2 - 1][19 - cnt5 - 1]
    for i in range(cnt2 + 1):
        for j in range(cnt5 + 1):
            l[i][j] += 1
print(ans)

### FIXED CODE ###

from copy import deepcopy
from decimal import Decimal
n = int(input())
a = [int(Decimal(input()) * (pow(10, 9))) for i in range(n)]
l = [[0] * 19 for i in range(19)]
ans = 0
for i in a:
    cnt2 = 0
    i2 = deepcopy(i)
    while i2 % 2 == 0 and cnt2 < 18:
        i2 //= 2
        cnt2 += 1
    cnt5 = 0
    i5 = deepcopy(i)
    while i5 % 5 == 0 and cnt5 < 18:
        i5 //= 5
        cnt5 += 1
    ans += l[19 - cnt2 - 1][19 - cnt5 - 1]
    for i in range(cnt2 + 1):
        for j in range(cnt5 + 1):
            l[i][j] += 1
print(ans)
### BUGGY CODE ###

A, B, K = map(int, input().split())

for i in range(A,B+1) :
    if i < A+K or B-K < i :
        print(i)


### FIXED CODE ###

A, B, K = map(int, input().split())

if B-A+1 >= 2*K :
    for i in range(A,A+K) :
        print(i)
    for i in range(B-K+1,B+1) :
        print(i)
else :
    for i in range(A,B+1) :
        print(i)
### BUGGY CODE ###

N = int(input())
S = str(input())
ans = 10**6
for i in range(N):
  ans = min(ans,S[:i].count('W')+S[i+1:].count('E'))

print(ans)

### FIXED CODE ###

N = int(input())
S = str(input())
sumL = [0]*N
sumL[0] = S[1:].count('E')
left = 0
right = 0
for i in range(1,N):
  if S[i-1] == 'W':
    left = 1
  else:
    left = 0
  if S[i] == 'E':
    right = 1
  else:
    right = 0
  sumL[i] = sumL[i-1] + left - right
sumL.sort()
print(sumL[0])
### BUGGY CODE ###

from collections import defaultdict
from heapq import heappop, heappush
import sys
input = sys.stdin.readline


N, M, S = map(int, input().split())

d = defaultdict(list)
e = defaultdict(int)

for _ in range(M):
    U, V, A, B = map(int, input().split())
    d[U].append((A, B, V))
    d[V].append((A, B, U))

for i in range(1, N+1):
    C, D = map(int, input().split())
    e[i] = (C, D)

dist = defaultdict(lambda :10**30)
ans = defaultdict(lambda :10**30)

source = (1, S)
dist[source] = 0
q = [(0, source)]

while q:
    cost, (s, nokori) = heappop(q)
    ns = (s, nokori)

    u, v = e[s]
    if dist[ns] < cost:
        continue

    n_nokori = nokori
    n_cost = 0
    while n_nokori < 2500:
        n_nokori += u
        n_cost += v
        nt = (s, n_nokori)
        
        if dist[nt] > dist[ns]+n_cost:
            dist[nt] = dist[ns]+n_cost
            heappush(q, (dist[nt], nt))

    for a, b, t in d[s]:
        n_nokori = nokori - a
        n_cost = b
        
        nt = (t, n_nokori)

        if n_nokori < 0:
            continue
        if dist[nt] > dist[ns]+n_cost:
            dist[nt] = dist[ns]+n_cost
            heappush(q, (dist[nt], nt))

for (s, _), v in dist.items():
    ans[s] = min(ans[s], v)

for i in range(2, N+1):
    print(ans[i])

### FIXED CODE ###

from collections import defaultdict
from heapq import heappop, heappush
import sys
input = sys.stdin.readline


N, M, S = map(int, input().split())

d = defaultdict(list)
e = defaultdict(int)

for _ in range(M):
    U, V, A, B = map(int, input().split())
    d[U].append((A, B, V))
    d[V].append((A, B, U))

for i in range(1, N+1):
    C, D = map(int, input().split())
    e[i] = (C, D)

dist = defaultdict(lambda :10**30)
ans = defaultdict(lambda :10**30)

source = (1, S)
dist[source] = 0
q = [(0, source)]

while q:
    cost, (s, nokori) = heappop(q)
    ns = (s, nokori)

    u, v = e[s]
    if dist[ns] < cost:
        continue

    if nokori > 2500:
        nokori = 2500
    else:
        n_nokori = nokori + u
        n_cost = v
        if n_nokori > 2500:
            n_nokori = 2500
        nt = (s, n_nokori)
        
        if dist[nt] > dist[ns]+n_cost:
            dist[nt] = dist[ns]+n_cost
            heappush(q, (dist[nt], nt))
    
    for a, b, t in d[s]:
        n_nokori = nokori - a
        n_cost = b
        
        nt = (t, n_nokori)

        if n_nokori < 0:
            continue
        if dist[nt] > dist[ns]+n_cost:
            dist[nt] = dist[ns]+n_cost
            heappush(q, (dist[nt], nt))

for (s, _), v in dist.items():
    ans[s] = min(ans[s], v)

for i in range(2, N+1):
    print(ans[i])
### BUGGY CODE ###

H,K=map(int,input().split())

ln=list(map(int,input().split()))

sum=0

for A in range(K):
  ln[ln.index(max(ln))]=0

for A in ln:
  sum+=A

print(sum)

### FIXED CODE ###

H,K=map(int,input().split())
 
s=list(map(int,input().split()))
 
sum=0

s.sort(reverse=True)

if K>=len(s):
  for A in range(len(s)):
    s[A]=0

else:
  for A in range(K):
    s[A]=0



for A in s:
  sum+=A
 
print(sum)
### BUGGY CODE ###

from collections import deque
import sys

INF = 10 ** 8

H, W = map(int,input().split())
CH, CW = map(int,input().split())
DH, DW = map(int,input().split())

S = []
for _ in range(H):
    S.append(list(input()))

d = [[INF for i in range(W)] for j in range(H)]

Q = deque([[CH-1, CW-1, 0]])
d[CH - 1][CW - 1] = 0

while len(Q) != 0:
    x, y, cnt = Q.popleft()
    
    d[x][y] = cnt
    
    if x == DH - 1 and y == DW - 1:
        print(cnt)
        sys.exit()
    
    for tx in range(-2, 3):
        for ty in range(-2, 3):
            nx = x + tx
            ny = y + ty
            if 0 <= nx < H and 0 <= ny < W and S[nx][ny] == "." and d[nx][ny] == INF:
                if abs(tx)+abs(ty) == 1:
                    Q.appendleft([nx, ny, cnt])
                elif abs(tx)+abs(ty) >= 2:
                    Q.append([nx, ny, cnt + 1])

print(-1)

### FIXED CODE ###

from collections import deque
import sys

INF = 10 ** 8

H, W = map(int,input().split())
C = list(map(int,input().split()))
D = list(map(int,input().split()))
MAP = []
for _ in range(H):
    MAP.append(list(input()))
d = [[INF for i in range(W)] for j in range(H)]
tx = [1, 0, -1, 0]
ty = [0, 1, 0, -1]
tx_y = [(i, j) for i in range(-2, 3) for j in range(-2, 3)]

Q = deque()
Q.append([C[0]-1, C[1]-1, 0])

while len(Q) != 0:
    x, y, cnt = Q.popleft()
    
    if x == D[0]-1 and y == D[1]-1:
        print(cnt)
        sys.exit()
    
    for i in range(4):
        nx = x + tx[i]
        ny = y + ty[i]
        if 0 <= nx < H and 0 <= ny < W and MAP[nx][ny] == "." and d[nx][ny] > cnt:
            d[nx][ny] = cnt
            Q.appendleft([nx, ny, cnt])
    
    for i, j in tx_y:
        nx = x + i
        ny = y + j
        if 0 <= nx < H and 0 <= ny < W and MAP[nx][ny] == "." and d[nx][ny] > cnt+1:
            d[nx][ny] = cnt+1
            Q.append([nx, ny, cnt+1])

print(-1)
### BUGGY CODE ###

from collections import deque
import sys
input=sys.stdin.readline


def solve():
    H, W = map(int, input().split())
    used = [[0]*W for _ in range(H)]
    candidate = [(i, j, 0) for i in range(H) for j, s in enumerate(input()) if s=="#"]
    q = deque(candidate)

    while q:
        y, x, cost = q.popleft()
        used[y][x] = 1

        for y1, x1 in [(y-1, x), (y+1, x), (y, x-1), (y, x+1)]:
            if not (0<=x1<W and 0<=y1<H):
                continue
            if used[y1][x1]:
                continue
            q.append((y1, x1, cost+1))

    print(cost)


if __name__ == "__main__":
    solve()


### FIXED CODE ###

from collections import deque


def solve():
    H, W = map(int, input().split())
    m = [[-1]*W for _ in range(H)]
    l = [list(input()) for _ in range(H)]
    dx = [-1, 1, 0, 0]
    dy = [0, 0, -1, 1]
    q = deque([])

    for i in range(H):
        for j in range(W):
            if l[i][j]=="#":
                q.append((i, j))
                m[i][j] = 0
    
    while q:
        y, x = q.popleft()

        for px, py in zip(dx, dy):
            x1, y1 = x + px, y + py
            if not (0<=x1<W and 0<=y1<H):
                continue
            if m[y1][x1] == -1:
                q.append((y1, x1))
                m[y1][x1] = m[y][x] + 1

    print(max(map(max, m)))


if __name__ == "__main__":
    solve()
### BUGGY CODE ###

N, K = map(int, input().split())
x = list(map(int, input().split()))

dist = []
for i in range(N-K+1):
    pos_exist = False
    neg_exist = False
    max_pos = 0
    min_neg = 0
    tmp = x[i:i+K]
    pos = []
    neg = []
    for j in range(K):
        if tmp[j] >= 0:
            pos.append(tmp[j])
            pos_exist = True
        else:
            neg.append(tmp[j])
            neg_exist = True
    if pos_exist:
        max_pos = max(pos)
    if neg_exist:
        min_neg = abs(min(neg))
    dist.append((max_pos + min_neg + min(max_pos, min_neg)))

print(min(dist))

### FIXED CODE ###

N, K = map(int, input().split())
x = list(map(int, input().split()))

dist = []
for i in range(N-K+1): 
    l, r = x[i], x[i+K-1]
    t = min(abs(l)+abs(l-r), abs(r)+abs(r-l))
    dist.append(t)

print(min(dist))
### BUGGY CODE ###

# ABC093 B - Small and Large Integers
a,b,k = map(int, input().split())
s = set()
L = []
for i in range(a,b+1):
    if i <= a+k-1:
        s.add(i)
        continue
    elif i >= b-k+1:
        s.add(i)
        continue
L = list(s)
L.sort()

for l in L:
    print(l)

### FIXED CODE ###

# ABC093 B - Small and Large Integers
a,b,k = map(int, input().split())

range_ab = set(range(a,a+k))|set(range(b-k+1,b+1))
l = list(range_ab)
l = [x for x in l if a<=x<=b]

l.sort()
print(*l,sep='\n')
### BUGGY CODE ###

import itertools

N = int(input())

def g(x, y, z):
    g_xyz = x ** 2 + y ** 2 + z ** 2 + x * y + y * z + z * x
    return g_xyz

N2 = int(N ** (1 /2)) + 1

list_ans = []

for target in range(1, N + 1):
    b = 0
    for x in range(1, N2 + 1):
        for y in range(x, N2 + 1):
            for z in range(y, N2 + 1):
            #   print("x, y, z, g(x, y, z) =", x, y, z, g(x, y, z))
              if g(x, y, z) == target:
                  tmp = ["".join(map(str, v)) for v in itertools.permutations([x, y, z])]
                  a = set(tmp)
                  b = len(a)
    list_ans.append(b)

for i in list_ans:
    print(i)

### FIXED CODE ###

def g(x, y, z):
    g_xyz = x ** 2 + y ** 2 + z ** 2 + x * y + y * z + z * x
    return g_xyz


N = int(input())
ans_list = [0 for _ in range(60000)]
for x in range(1, 100):
  for y in range(1, 100):
      for z in range(1, 100):
          ans_list[g(x=x, y=y, z=z) - 1] += 1
           
for i in range(N):
    print(ans_list[i])
### BUGGY CODE ###

from sys import stdin

S = input()
Q = int(input())

T_list = []
reverse_flg = False

for q in range(Q):
    T = stdin.readline()[:-1]

    if T == '1':
        if reverse_flg:
            reverse_flg = False
        else:
            reverse_flg = True
    
    else:
        t, f, c = T.split()

        if (f == '1' and reverse_flg == False) or (f == '2' and reverse_flg == True):
            tmp_s = [c, S]
            S = ''.join(tmp_s)
        else:
            tmp_s = [S, c]
            S = ''.join(tmp_s)

if reverse_flg:
    S = ''.join(list(reversed(S)))
    
print(S) 


### FIXED CODE ###

from sys import stdin

S = input()
Q = int(input())

reverse_flg = False

former_list = []
latter_list = []

for q in range(Q):
    T = stdin.readline()[:-1]

    if T == '1':
        if reverse_flg:
            reverse_flg = False
        else:
            reverse_flg = True
    
    else:
        t, f, c = T.split()
        if (f == '1' and reverse_flg == False) or (f == '2' and reverse_flg == True):
            former_list.append(c)
        else:
            latter_list.append(c)


if reverse_flg:
    latter_list = ''.join(reversed(latter_list))
    former_list = ''.join(former_list)
    S = ''.join(list(reversed(S)))
    S = ''.join([latter_list, S, former_list])

else:
    former_list = ''.join(reversed(former_list))
    latter_list = ''.join(latter_list)
    S = ''.join([former_list, S, latter_list])

print(S)
### BUGGY CODE ###

## D
X = int(input())
Y = [y**5 for y in range(100000)]
for a in range(0, 100000):
    for b in range(1+a, 100000):
        if Y[a] - Y[b] == X:
            print(a, b)
            exit
        if Y[a] + Y[b] == X:
            print(a, -b)
            exit

### FIXED CODE ###

## D
X = int(input())
lp = 1000
for a in range(-lp, lp):
    for b in range(-lp, lp):
        if a**5 - b**5 == X:
            print(a, b)
            break
    else:
        continue
    break
### BUGGY CODE ###

a, b, n = map(int, input().split())
ans1 = 0
for i in range(n+1):
  ans2 = int(a * i / b) - a * int(i / b)
  ans1 = max(ans1, ans2)
print(ans1)

### FIXED CODE ###

a, b, n = map(int, input().split())
if b > n:
  x = n
else:
  x = b - 1
print(int(a * x / b) - a * int(x / b))
### BUGGY CODE ###

import sys
input = sys.stdin.readline

def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))

def main():
    #各行では連続した区間
    #行ごとに見ないと話が進まん，降りるタイミぐは各列高々3000こ，来るタイミングも同様
    
    mod=10**9+7
    R,C,K=MI()
    S=[[0]*(C+1) for _ in range(R+1)]

    
    for i in range(K):
        r,c,v=MI()
        S[r][c]=v
        
        
    dp=[[[0]*4 for _ in range(C+1)]for i in range(R+1)]
    # dp[i][j][k]はi行j列まで見てその行でk個以下
    
    for i in range(R+1):
        for j in range(C+1):
            for k in range(3):
                #S(i,j)からの移動を考える
                
                #右へ移動，-,拾わない，拾う
                if j+1<=C:
                    dp[i][j+1][k+1]=max(dp[i][j+1][k+1],dp[i][j][k+1],dp[i][j][k]+S[i][j+1])
                
                #下へ
                if i+1<=R:
                    temp=0
                    for kk in range(4):
                        temp=max(temp,dp[i][j][kk])
                    dp[i+1][j][0]=temp
                    dp[i+1][j][1]=temp+S[i+1][j]
                
    ans=0
    for k in range(4):
        ans=max(ans,dp[-1][-1][k])
        
    # for i in range(R+1):
    #     print(dp[i])
        
    print(ans)
                
        
    

main()


### FIXED CODE ###

import sys
input = sys.stdin.readline

def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))

def main():
    #各行では連続した区間
    #行ごとに見ないと話が進まん，降りるタイミぐは各列高々3000こ，来るタイミングも同様
    
    mod=10**9+7
    R,C,K=MI()
    S=[[0]*(C+1) for _ in range(R+1)]

    
    for i in range(K):
        r,c,v=MI()
        S[r][c]=v
        
        
    dp1=[[0]*(C+1)for _ in range(R+1)]
    dp2=[[0]*(C+1)for _ in range(R+1)]
    dp3=[[0]*(C+1)for _ in range(R+1)]
    # dp[i][j][k]はi行j列まで見てその行でk個以下
    
    for i in range(R+1):
        for j in range(C+1):
            #S(i,j)からの移動を考える
            
            #右へ移動，-,拾わない，拾う
            if j+1<=C:
                dp1[i][j+1]=max(dp1[i][j+1],dp1[i][j],S[i][j+1])
                dp2[i][j+1]=max(dp2[i][j+1],dp2[i][j],dp1[i][j]+S[i][j+1])
                dp3[i][j+1]=max(dp3[i][j+1],dp3[i][j],dp2[i][j]+S[i][j+1])
            
            #下へ
            if i+1<=R:
                temp=max(dp1[i][j],dp2[i][j],dp3[i][j])
                dp1[i+1][j]=temp+S[i+1][j]
                
    ans=max(dp1[-1][-1],dp2[-1][-1],dp3[-1][-1])
        
    # for i in range(R+1):
    #     print(dp[i])
        
    print(ans)
                
        
    

main()
### BUGGY CODE ###


n, k = map(int, input().split())
p_n = [int(i) for i in input().split()]

def expected(x):
    return (x+1)/2

e_n = list(map(expected, p_n))
result = []
for i in range(n-k+1):
    window_total = 0
    for j in range(k):
        window_total +=e_n[i+j]
    result.append(window_total)
print(max(result))

### FIXED CODE ###

n, k = map(int, input().split())
p_n = [int(i) for i in input().split()]

def expected(x):
    return (x+1)/2

def test3():
    e_n = list(map(expected, p_n))
    s_n = []
    for i, e in enumerate(e_n):
        if i == 0:
            s_n.append(e)
            continue
        s_n.append(s_n[i-1] + e)
    result = []
    result.append(s_n[k-1])
    for i in range(len(s_n)):
        if i+k >= n:
            continue
        result.append(s_n[i+k]-s_n[i])
    print(max(result))      
test3()
### BUGGY CODE ###

# -*- coding: utf-8 -*-
n = int(input())
a = list(map(int, input().split()))

a_set = set(a)
a_map = {i:a.count(i) for i in a_set}
print(sum([cnt-i if i < cnt else cnt for i, cnt in a_map.items() if i != cnt]))
    


### FIXED CODE ###

from collections import defaultdict
n = int(input())
a = list(map(int, input().split()))

a_map=defaultdict(int)
for i in a:
    a_map[i] += 1
print(sum([cnt-i if i < cnt else cnt for i, cnt in a_map.items() if i != cnt]))
### BUGGY CODE ###

from collections import Counter

def get_substrings(length, string):
    substrings = [''.join(string[i:i+length]) for i in range(len(string)-length+1)]
    return substrings

N = int(input())
S = input()
ans = 0
for i in range(1, N//2 + 1):
    substrings = Counter(get_substrings(i, S))
    if substrings.most_common(1)[0][1] >= 2:
        ans = i
print(ans)

### FIXED CODE ###

def z_algo(S):
    '''
    Input: a string S
    Output: an array Z[0..|S| - 1]
            Z[i] = l: the length of the longest prefix of S[i..|S| - 1] which is also a prefix of S,
            i.e.,
                S[j] = S[i + j] for all 0 <= j < l (l != 0),
                S[0] != S[i] (l == 0)
    Time complexity: O(|S|) time
    '''
    N = len(S)
    Z = [-1] * N
    Z[0] = N
    L = 0; R = 0 # algorithm invariant: S[L..R] is always set to be the longest common prefix of S[L..|S| - 1]
    for i in range(1, N):
        if i > R: # naive calculation
            j = 0
            while i + j < N and S[j] == S[i + j]: j += 1
            Z[i] = j
            if j > 0: L = i; R = i + j - 1
        else: # i in [L, R]
            k = i - L
            if Z[k] < R - i + 1: Z[i] = Z[k]
            else:
                L = i
                while R < N and S[R - L] == S[R]: R += 1
                Z[i] = R - L
                R -= 1
    return Z

N = int(input())
S = input()
ans = 0
for i in range(N-1):
    Z = z_algo(S[i:])
    for j, z in enumerate(Z):
        ans = max(ans, min(z, j))
print(ans)
### BUGGY CODE ###

import numpy as np
N=int(input().strip())
A=np.array(list(map(int,input().strip().split())))
for i in range(N):
    print(np.argsort(A)[i]+1,end=" ")


### FIXED CODE ###

import numpy as np
N=int(input().strip())
A=np.array(list(map(int,input().strip().split())))
ans=[0]*N
for i in range(N):
    ans[A[i]-1]=i+1
for i in range(N):
    print(ans[i], end=" ")
### BUGGY CODE ###

N = int(input())
p = list(map(float, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
dp[0][0] = 1

for i in range(N):
    for j in range(i + 1):
        dp[i + 1][j + 1] += dp[i][j] * p[i]
        dp[i + 1][j] += dp[i][j] * (1 - p[i])
ans = 0
for i in range(N // 2 + 1, N + 1):
    ans += dp[N][i]

print(ans)

### FIXED CODE ###

N = int(input())
p = list(map(float, input().split()))

dp = [[0] * (N + 1) for _ in range(N + 1)]
dp[0][0] = 1

for i in range(N):
    for j in range(i + 1):
        dp[i + 1][j + 1] += dp[i][j] * p[i]
        dp[i + 1][j] += dp[i][j] * (1 - p[i])
ans = 0
for i in range(N // 2 + 1, N + 1):
    ans += dp[N][i]

print(ans)
### BUGGY CODE ###

N,A,B,C,D=map(int,input().split())
mod=10**9+7

factorial=[1]
for i in range(1,1001):
    factorial.append((factorial[-1]*i)%mod)

inverse=[pow(factorial[i],mod-2,mod) for i in range(1001)]

dp=[{i:0 for i in range(A-1,B+1)} for j in range(N+1)]

for i in range(A,B+1):
    dp[0][i]=1

dp[0][A-1]=1

for i in range(1,N+1):
    for j in range(A,B+1):
        dp[i][j]=dp[i][j-1]+sum(dp[i-k*j][j-1]*factorial[i]*pow(inverse[j],k,mod)*inverse[k]*inverse[i-j*k] for k in range(C,min(D,i//j)+1))
        dp[i][j]%=mod

print(dp[N][B])


### FIXED CODE ###

N,A,B,C,D=map(int,input().split())
mod=10**9+7

factorial=[1]
for i in range(1,1001):
    factorial.append((factorial[-1]*i)%mod)

inverse=[pow(factorial[i],mod-2,mod) for i in range(1001)]

Inverse=[[1] for i in range(1001)]
for i in range(1001):
    for j in range(1,1001):
        Inverse[i].append((Inverse[i][-1]*inverse[i])%mod)

dp=[{i:0 for i in range(A-1,B+1)} for j in range(N+1)]

for i in range(A-1,B+1):
    dp[0][i]=1


for i in range(1,N+1):
    for j in range(A,B+1):
        dp[i][j]=dp[i][j-1]+factorial[i]*sum(dp[i-k*j][j-1]*Inverse[j][k]*inverse[k]*inverse[i-j*k] for k in range(C,min(D,i//j)+1))
        dp[i][j]%=mod

print(dp[N][B])
### BUGGY CODE ###

import fractions
a, b = map(int, input().split())
c=fractions.gcd(a, b)
ans=1
def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False

    for i in range(2, n+1):
        if is_prime[i-1]:
            j = 2 * i
            while j <= n:
                is_prime[j-1] = False
                j += i
    table = [ i for i in range(1, n+1) if is_prime[i-1]]
    return table
d=sieve(c)
for i in range(len(d)):
    if c%d[i]==0:
        ans+=1
print(ans)

### FIXED CODE ###

import fractions
a, b = map(int, input().split())
c=fractions.gcd(a, b)
def prime_decomposition(n):
  i = 2
  table = []
  while i * i <= n:
    while n % i == 0:
      n /= i
      table.append(i)
    i += 1
  if n > 1:
    table.append(n)
  return table
d=list(set(prime_decomposition(c)))
ans=len(d)+1
print(ans)
### BUGGY CODE ###

# input
N = int(input())
A = list(map(int, input().split()))

# check
for ind in range(N):
    target = [0] + [a for i, a in enumerate(A) if i != ind] + [0]
    res = sum([abs(target[i] - target[i + 1]) for i in range(N)])
    print(res)

### FIXED CODE ###

# input
N = int(input())
A = list(map(int, input().split()))

full_root = [0] + A + [0]
full_place = [abs(full_root[i] - full_root[i + 1]) for i in range(N + 1)]
full_res = sum(full_place)
# check
for ind in range(1, N + 1):
    res = full_res - sum(full_place[ind - 1:ind + 1]) + abs(full_root[ind - 1] - full_root[ind + 1])

    print(res)