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

import sys
input = sys.stdin.readline

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

# N = 10**5
# A = [random.randrange(1,10**9+1) for _ in range(N)]

# import time

def main():
    l = 0
    r = N
    while r-l > 1:
        m = (r+l)//2
        ok = True
        if m == 1:
            pre = -1
            for a in A:
                if pre >= a:
                    ok = False
                    break
                pre = a
        else:
            dp = {}
            needreset = 10**15
            exception = set()
            pre = -1
            for a in A:
                ind = a
                for _ in range(100):
                    # 修正
                    if needreset >= ind or ind in exception:
                        if not ind in dp.keys():
                            dp[ind] = 0 if pre < a else 1
                    else:
                        dp[ind] = 0 if pre < a else 1
                        exception.add(ind)
                    # たす
                    if dp[ind] < m:
                        dp[ind] += 1
                        break
                    elif ind == 1:
                        ok = False
                        break
                    else:
                        # 繰り上がり
                        dp[ind] = 1
                        ind -= 1
                if not ok: break
                # 更新
                if pre > a:
                    needreset = a
                    exception = set()
                pre = a

        if ok:
            r = m
        else:
            l = m

    print(r)


if __name__ == "__main__":
    #dt = time.time()
    main()
    #print(time.time()-dt)

### FIXED CODE ###

import sys
input = sys.stdin.readline

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


def check(m):
    if m == 1:
        pre = -1
        for a in A:
            if pre >= a:
                return False
            pre = a
    else:
        dp = {}
        pre = 0
        #count = 0
        for a in A:
            if pre < a:
                pre = a
                continue
            todelete = []
            for b in dp.keys():
                if b > a:
                    todelete.append(b)
            ind = a
            while ind > 0:
                if ind in dp and dp[ind] >= m-1:
                    todelete.append(ind)
                else:
                    break
                ind -= 1
            # 更新
            if ind in dp:
                dp[ind] += 1
            else:
                dp[ind] = 1
            if ind == 0 or dp[ind] >= m:
                return False
            for d in todelete:
                del dp[d]
            pre = a
    #print(m, count)
    return True



def main():
    l = 0
    r = N
    while r-l > 1:
        m = (r+l)//2
        if check(m):
            r = m
        else:
            l = m
    print(r)


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

import numpy as np

h, w, k = map(int, input().split())
s = []
for i in range(h):
    string = input()
    temp = []
    for j in range(w):
        temp.append(int(string[j]))
    s.append(temp)

s_arr = np.array(s)

ans = 10**9
for i in range(2**(h-1)):
    bin_str = format(i, '0'+str(h-1)+'b')
    kouryo = []
    cnt = 0
    start = 0
    for j in range(h-1):
        if bin_str[j] == '1':
            cnt += 1
            kouryo.append(list(s_arr[start:j+1].sum(axis=0)))
            start=j+1
    kouryo.append(list(s_arr[start:].sum(axis=0)))

    kouryo = np.array(kouryo)
    wa = np.array([[0] for _ in range(len(kouryo))])
    for j in range(w):
        if np.any(kouryo[:, j]>k): cnt += 10**9
        if cnt >= 10**9: break
        wa = wa + kouryo[:, j, None]
        if np.any(wa>k):
            cnt += 1
            wa = kouryo[:, j, None]
    ans = min(ans, cnt)
print(ans)

### FIXED CODE ###

import numpy as np

h, w, k = map(int, input().split())
s = []
for i in range(h):
    string = input()
    temp = []
    for j in range(w):
        temp.append(int(string[j]))
    s.append(temp)

s_arr = np.array(s)

ans = 10**9
for i in range(2**(h-1)):
    bin_str = format(i, '0'+str(h-1)+'b')
    kouryo = np.array([[0 for _ in range(w)]])
    cnt = 0
    start = 0
    for j in range(h-1):
        if bin_str[j] == '1':
            cnt += 1
            kouryo = np.concatenate((kouryo, s_arr[start:j+1].sum(axis=0, keepdims=True)), axis=0)
            start=j+1
    kouryo = np.concatenate((kouryo, s_arr[start:].sum(axis=0, keepdims=True)), axis=0)

    if cnt > ans: continue
    if np.any(kouryo>k): continue

    wa = np.array([0 for _ in range(len(kouryo))])
    for j in range(w):
        wa += kouryo[:, j]
        if np.max(wa)>k:
            cnt += 1
            if cnt > ans: break
            wa = kouryo[:, j]
    ans = min(ans, cnt)
print(ans)
### BUGGY CODE ###

n = int(input())
A = list(map(int,input().split()))
gcd_list = []
min_element = min(A)
max_element = max(A)

def gcd(a, b):
    while a % b != 0:
        b_next = a % b
        a = b
        b = b_next
    return b

for i in range(n):
    y = A[i]
    for j in range(min_element, max_element + 1):
        A[i] = j
        x = A[0]
        for k in range(1, n):
            x = gcd(x, A[k])
            if x == 1:
                break
        gcd_list.append(x)
    A[i] = y
print(max(gcd_list))


### FIXED CODE ###

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

def gcd(a, b):
    a, b = max(a, b), min(a, b)
    if b == 0:
        return a
    if a % b == 0:
        return b
    return gcd(b, a%b)

L = [0]; R = [0]
for i in range(N-1):
    L.append(gcd(L[i], A[i]))
    R.append(gcd(R[i], A[N-1-i]))

maxGCD = 1
for j in range(N):
    maxGCD = max(maxGCD, gcd(L[j], R[N-j-1]))
print(maxGCD)
### BUGGY CODE ###

n = int(input())
s = input()

total = 0
for i in range(0, n):
    if i == n-2:
        print(total)
        exit()
    for j in range(i+1, n):
        if s[j] == s[i]:
            if j == n-1:
                break
            continue
        for k in range(j+1, n):
            if s[k] == s[i] or s[k] == s[j]:
                continue
            elif j - i != k - j:
                total += 1

### FIXED CODE ###

n = int(input())
s = input()

r = 0
g = 0
b = 0
for c in s:
    if c == 'R':
        r += 1
    if c == 'G':
        g += 1
    if c == 'B':
        b += 1

total = r*g*b

for i in range(0, n-2):
    for j in range(i+1, n-1):
        k = j - i + j
        if k >= n:
            break
        elif s[i] != s[j] and s[j] != s[k] and s[k] != s[i]:
            total -= 1
print(total)
### BUGGY CODE ###


def main():
    N = int(input())
    A = list(map(int, input().split()))
    maxA = max(A)
    # エラトステネスの篩
    sieve = [0] * (maxA + 1)
    sieve[0] = sieve[1] = -1
    for i in range(maxA+1):
        if sieve[i] != 0:
            continue
        for j in range(i, maxA+1, i):
            if sieve[j] == 0:
                sieve[j] = i

    # 素因数分解
    primelist = []
    lenprimelist = 0
    for i in range(N):
        tmpset = set()
        j = A[i]
        for _ in range(N):
            tmp = sieve[j]
            if tmp <= 0:
                break
            tmpset.add(tmp)
            j = j//tmp
        lenprimelist += len(tmpset)
        primelist.append(tmpset)
    
    # 素因数の和集合を取ったときに, 元の素因数の配列の長さから小さくなっている 
    #   => ある i, j で共通する素因数を持つAi, Ajが存在する
    #   => pairwise coprime ではない
    # 全ての素因数の配列に対して共通部分を取ったときに, 空集合となる
    #   => A全体での公約数は 1 
    #   => setwise coprime である

    primeset = set()
    primeintersection = set(range(2, maxA+1))
    for s in primelist:
        primeset.update(s)
        primeintersection.intersection_update(s)
    if len(primeset) == lenprimelist:
        print('pairwise coprime')
        return
    if len(primeintersection) == 0:
        print('setwise coprime')
        return
    print('not coprime')
    return

if __name__ == "__main__":
    main()



### FIXED CODE ###


def main():
    N = int(input())
    A = list(map(int, input().split()))
    maxA = max(A)
    # エラトステネスの篩
    sieve = [0] * (maxA + 1)
    sieve[0] = sieve[1] = -1
    for i in range(maxA+1):
        if sieve[i] != 0:
            continue
        for j in range(i, maxA+1, i):
            if sieve[j] == 0:
                sieve[j] = i

    # 素因数分解
    primelist = []
    lenprimelist = 0
    for i in range(N):
        tmpset = set()
        j = A[i]
        for _ in range(N):
            tmp = sieve[j]
            if tmp <= 0:
                break
            tmpset.add(tmp)
            j = j//tmp
        lenprimelist += len(tmpset)
        primelist.append(tmpset)
    
    # 素因数の和集合を取ったときに, 元の素因数の配列の長さから小さくなっている 
    #   => ある i, j で共通する素因数を持つAi, Ajが存在する
    #   => pairwise coprime ではない
    # 全ての素因数の配列に対して共通部分を取ったときに, 空集合となる
    #   => A全体での公約数は 1 
    #   => setwise coprime である

    primeset = set()
    primeintersection = set(range(2, maxA+1))
    for s in primelist:
        primeset.update(s)
        primeintersection.intersection_update(s)
    if len(primeset) == lenprimelist:
        print('pairwise coprime')
        return
    if len(primeintersection) == 0:
        print('setwise coprime')
        return
    print('not coprime')
    return

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

import bisect
import sys

f_inf = float('inf')


def cal(syurui, d, index):
    if d == 'e':
        return syurui[index]
    elif d == 'w':
        return syurui[index - 1]


A, B, Q = map(int, input().split())
s = [int(input()) for i in range(A)]
s.sort()
t = [int(input()) for i in range(B)]
t.sort()

for i in range(Q):
    x = int(sys.stdin.readline().rstrip('\n'))
    s_index = bisect.bisect_left(s, x)
    t_index = bisect.bisect_left(t, x)
    if s_index == len(s) and t_index == len(t):
        print(max(abs(x-s[s_index-1]), abs(x-t[t_index-1])))
    elif s_index == len(s):
        ｓ.insert(0, -f_inf)
        t.insert(0, -f_inf)
        print(min(max(abs(x-s[s_index]), abs(x-t[t_index])),
                  2*abs(x-s[s_index])+abs(x-t[t_index+1]), abs(x-s[s_index])+2*abs(x-t[t_index+1])))
    elif t_index == len(t):
        ｓ.insert(0, -f_inf)
        t.insert(0, -f_inf)
        print(min(max(abs(x-s[s_index]), abs(x-t[t_index])), 2*abs(x-s[s_index+1])+abs(x-t[t_index]),
                  abs(x-s[s_index+1])+2*abs(x-t[t_index])))
    else:
        ｓ.insert(0, -f_inf)
        t.insert(0, -f_inf)
        print(min(max(abs(x-s[s_index]), abs(x-t[t_index])), max(
            abs(x-s[s_index+1]), abs(x-t[t_index+1])), 2*abs(x-s[s_index+1])+abs(x-t[t_index]), 2*abs(x-s[s_index])+abs(x-t[t_index+1]), abs(x-s[s_index+1])+2*abs(x-t[t_index]), abs(x-s[s_index])+2*abs(x-t[t_index+1])))


### FIXED CODE ###

import bisect

f_inf = float('inf')


def cal(syurui, d, index):
    if d == 'e':
        return syurui[index]
    elif d == 'w':
        return syurui[index - 1]


A, B, Q = map(int, input().split())
s = [int(input()) for i in range(A)]
s.sort()
t = [int(input()) for i in range(B)]
t.sort()
ｓ.insert(0, -f_inf)
t.insert(0, -f_inf)
ｓ.append(f_inf)
t.append(f_inf)

for i in range(Q):
    x = int(input())
    s_index = bisect.bisect_left(s, x)
    t_index = bisect.bisect_left(t, x)
    print(min(max(abs(x-s[s_index]), abs(x-t[t_index])), max(abs(x-s[s_index-1]), abs(x-t[t_index-1])), 2*abs(x-s[s_index-1])+abs(x-t[t_index]), 2*abs(x-s[s_index])+abs(x-t[t_index-1]), abs(x-s[s_index-1])+2*abs(x-t[t_index]), abs(x-s[s_index])+2*abs(x-t[t_index-1])))
### BUGGY CODE ###

N = int(input())
S = input()

seg = [0]*(2*N-1)

def update(k, x):
    k += N-1
    seg[k] = 2**x
    while k:
        k = (k-1)//2
        seg[k] = seg[2*k+1] | seg[2*k+2]
        
def query(p, q):
    p += N-1
    q += N-2
    res = 0
    while q-p > 1:
        if p&1 == 0:
            res = res | seg[p]
        if q&1 == 1:
            res = res | seg[q]
            q -= 1
        p //= 2
        q = (q-1)//2
    if p == q:
        res |= seg[q]
    else:
        res |= seg[p] | seg[q]
    return bin(res).count("1")

def f(s):
    return ord(s) - ord("a") + 1

for i in range(N):
    update(i, f(S[i]))
    
Q = int(input())
for _ in range(Q):
    a,b,c = map(str, input().split())
    if a == "1":
        update(int(b)-1, f(c))
    else:
        print(query(int(b)-1, int(c)))

### FIXED CODE ###

N = int(input())
S = input()

seg = [0]*(2*N-1)

def update(k, x):
    k += N-1
    seg[k] = 2**x
    while k:
        k = (k-1)//2
        seg[k] = seg[2*k+1] | seg[2*k+2]
        
def query(p, q):
    p += N-1
    q += N-2
    res = 0
    while q-p > 1:
        if p&1 == 0:
            res = res | seg[p]
        if q&1 == 1:
            res = res | seg[q]
            q -= 1
        p //= 2
        q = (q-1)//2
    if p == q:
        res |= seg[q]
    else:
        res |= seg[p] | seg[q]
    return bin(res).count("1")

def f(s):
    return ord(s) - ord("a") + 1

for i in range(N):
    update(i, f(S[i]))
    
Q = int(input())
for _ in range(Q):
    a,b,c = map(str, input().split())
    if a == "1":
        update(int(b)-1, f(c))
    else:
        print(query(int(b)-1, int(c)))
### BUGGY CODE ###

from bisect import bisect_left

H, W = [int(i) for i in input().split()]
S = [list(input()) for _ in range(H)]

R = [[] for i in range(H)]
for j in range(H):
    R[j].append(-1)
    for i in range(W):
        if S[j][i] == "#":
            R[j].append(i)
    R[j].append(W)

C = [[] for i in range(W)]
for j in range(W):
    C[j].append(-1)
    for i in range(H):
        if S[i][j] == "#":
            C[j].append(i)
    C[j].append(H)

ma = 0
for i in range(H):
    for j in range(W):
        if S[i][j] == "#":
            continue

        r = bisect_left(R[i], j)
        c = bisect_left(C[j], i)

        rr = R[i][r] - R[i][r - 1] - 1
        cc = C[j][c] - C[j][c - 1] - 1

        ma = max(ma, rr + cc - 1)

print(ma)

### FIXED CODE ###

H, W = [int(i) for i in input().split()]
S = [input() for _ in range(H)]

L = [[0 for _ in range(W)] for _ in range(H)]
R = [[0 for _ in range(W)] for _ in range(H)]
U = [[0 for _ in range(W)] for _ in range(H)]
D = [[0 for _ in range(W)] for _ in range(H)]

for i in range(H):
    for j in range(W):
        if S[i][j] != "#":
            L[i][j] = 1 if j == 0 else 1 + L[i][j - 1]
    for j in range(W - 1, -1, -1):
        if S[i][j] != "#":
            R[i][j] = 1 if j == W - 1 else 1 + R[i][j + 1]

for j in range(W):
    for i in range(H):
        if S[i][j] != "#":
            U[i][j] = 1 if i == 0 else 1 + U[i - 1][j]
    for i in range(H - 1, -1, -1):
        if S[i][j] != "#":
            D[i][j] = 1 if i == H - 1 else 1 + D[i + 1][j]

ans = 0
for i in range(H):
    for j in range(W):
        ans = max(ans, L[i][j] + R[i][j] + U[i][j] + D[i][j] - 3)
print(ans)
### BUGGY CODE ###

from collections import deque
import sys
input = sys.stdin.readline
n=int(input())
g=[[] for i in range(n)]
for i in range(n-1):
    a,b=map(int,input().split())
    a-=1
    b-=1
    g[a].append(b)
    g[b].append(a)
q=deque([[0,[0]]])
v=[0]*n
v[0]=1
f=0
while q:
    p=q.popleft()
    #if p[1][-1]==n-1:
        #break
    v[p[0]]=1
    for i in g[p[0]]:
        if v[i]==0:
            v[i]=1
            #print(i)
            if i==n-1:
                r=p[1]+[i]
                f=1
                break
            q.append([i,p[1]+[i]])
    if f==1:
        break
fe=deque(r[:(-(-len(r)//2))])
v=[0]*n
v[r[(-(-len(r)//2))]]=1
v[0]=1
while fe:
    s=fe.popleft()
    for i in g[s]:
        if v[i]==0:
            fe.append(i)
            v[i]=1
x=sum(v)-1
y=n-x
if x>y:
    print('Fennec')
else:
    print('Snuke')


### FIXED CODE ###

import math
import sys
sys.setrecursionlimit(1000000)
N = int(input())
graph = {}
SCORE = 0
def dfs(visited,v,depth):
    visited[v] = depth
    for next_v in graph[v]:
        if  visited[next_v]  == -1 :
            dfs(visited,next_v,depth + 1)




for _ in range(N-1):
    a,b = map(int,input().split())
    if a not in graph:
        graph[a] = [b]
    else:
        graph[a].append(b)

    if b not in graph:
        graph[b] = [a]
    else:
        graph[b].append(a)

vF = [-1] * (N + 1)
vF[1] = 0
dfs(vF,1,0)
# print(vF)

vS = [-1] * (N + 1)
vS[N] = 0

dfs(vS,N,0)
# print(vS)

fc = 0
sc = 0

for f,s in zip(vF[1:N + 1],vS[1:N + 1]):
    if f <= s:
        fc += 1
    else:
        sc += 1

# print(fc,sc)
if fc > sc:
    print("Fennec")
else:
    print("Snuke")
### BUGGY CODE ###

import numpy as np
n = int(input())
#a = np.array(list(map(int, input().split())))
a = list(map(int, input().split()))

d = {a.index(i)+1: i for i in a}
#print(d)
d_sorted = sorted(d.items(), key=lambda x:x[1])
#print(d_sorted)
for i in d_sorted:
  print(i[0], end=' ')

### FIXED CODE ###

import numpy as np
n = int(input())
a = list(map(int, input().split()))
ans = [0 for _ in range(n)]
for i in range(n):
  ans[a[i]-1] = i + 1
for i in ans:
  print(i, end=' ')
### BUGGY CODE ###

# -*- coding: utf-8 -*-
k=int(input())
i=1
s=7
while True:
  m=s%k
  if m==0:
    print(i)
    break
  s=m*10+7
  i+=1

### FIXED CODE ###

# -*- coding: utf-8 -*-
import sys
k=int(input())
if k%2==0 or k%5==0:
  print(-1)
  sys.exit()
s=7
for i in range(k):
  m=s%k
  if m==0:
    print(i+1)
    break
  s=m*10+7
### BUGGY CODE ###

a=int(input())
d=list(map(int,input().split()))

sum=0
mod = 1000000007

for i in range(a-1):
  for j in range(i+1,a):
    sum=pow(sum+d[i]*d[j],1,mod)

print(sum)

### FIXED CODE ###

MOD = 10 ** 9 + 7

n=int(input())
alst=list(map(int,input().split()))

total=sum(alst)
sum=0

# for i in range(n-1):
#   for j in range(i+1,n):
#     sum=pow(sum+alst[i]*alst[j],1,MOD)

# print(sum)

for a in alst:
  sum = sum+a * (total - a)
  sum %= MOD

sum *= pow(2, MOD - 2, MOD)
sum %= MOD
print(sum)
### BUGGY CODE ###

# coding: utf-8
# Here your code !
prof = 0
d = int(input())
li =[int(input()) for i in range(d)]
max =li[1]-li[0]

while len(li)>1:
    for i in range(len(li)):
        if li[i]-li[0]>max and i!=0:
            max= li[i]-li[0]
    li=li[1:]
    
print(max)

### FIXED CODE ###

# coding: utf-8
# Here your code !
import math
prof = 0
d = int(input())
li =[int(input()) for i in range(d)]
max=float("-inf")
min=li[0]
for j in range(1,d):
    if li[j]-min>max:
        max=li[j]-min
    if li[j]<min:
        min=li[j]

print(max)
### BUGGY CODE ###

n = int(input())
li = list(map(int, input().split()))
res = 1
for i in li:
    res *= i
print(res) if res <= 10**18 else print(-1)

### FIXED CODE ###

import sys
n = int(sys.stdin.readline())
li = list(map(int, sys.stdin.readline().split()))
if 0 in li:
    print(0)
    exit()
res = 1
for i in range(n):
    res *= li[i]
    if res > 1000000000000000000:
        print(-1)
        exit(0)
print(res)
### BUGGY CODE ###

def main():
    n = int(input())
    a = list(map(int, input().split()))

    m = 10 ** 9 + 7
    ans = 0
    for i in range(n):
        for j in range(i + 1, n):
            ans += a[i] * a[j]
            if ans > m:
                ans = ans % m
    print(ans)

if __name__ == '__main__':
    main()


### FIXED CODE ###

def main():
    n = int(input())
    a = list(map(int, input().split()))
    ans = 0
    m = 10 ** 9 + 7
    tmp_sum = 0
    for i in range(n - 1):
        tmp_sum += a[i]
        tmp_sum %= m
        ans += tmp_sum * a[i+1]
        ans %= m
    
    print(ans)


if __name__ == '__main__':
    main()
### BUGGY CODE ###

def main():
  from collections import deque
  s,*c=open(0)
  h,w=map(int,s.split())
  c=''.join(t[:w]for t in c)
  f=[-1]*h*w
  q=deque()
  for i in range(h*w):
    if c[i]=='#':
      q.append((i//w,i%w))
      f[i]=0
  while q:
    y,x=q.popleft()
    v=f[y*w+x]
    for i,j in((y,x-1),(y,x+1),(y-1,x),(y+1,x)):
      k=i*w+j
      if h>i>=0<=j<w and'.'==c[k]*(f[k]<0):
        f[k]=v+1
        q.append((i,j))
  print(v)
if __name__=='__main__':
  main()

### FIXED CODE ###

from collections import*
h,w=map(int,input().split())
c=eval('list(input()),'*h)
q=deque()
for i in range(h):
    for j in range(w):
        if c[i][j]=='#':
            q.append((i,j,0))
ans=0
while q:
    y,x,v=q.popleft()
    ans=max(ans,v)
    for i,j in((y,x-1),(y,x+1),(y-1,x),(y+1,x)):
        if h>i>=0 and w>j>=0 and c[i][j]=='.':
            c[i][j]='#'
            q.append((i,j,v+1))
print(ans)
### BUGGY CODE ###

N = int(input())
a = [sorted(input()) for i in range(N)]
count = 0
for i in range(N):
    for k in range(1+i,N):
        if a[i] == a[k]:
            count += 1
print(count)

### FIXED CODE ###

N = int(input())
S = [''.join(sorted(input().rstrip())) for _ in range(N)]


from collections import Counter
counter = Counter(S)
answer = sum(x * (x - 1) // 2 for x in counter.values())
print(answer)
### BUGGY CODE ###

n = int(input())
a = [int(x) for x in input().split()]
mod = 10**9+7
res = [0]*(max(a)+1)
ma = 0
for i in a:
    for j in range(2,int(i**0.5)+1):
        cnt = 0
        while i%j==0:
            i//=j
            cnt+=1
        res[j] = max(res[j],cnt)
    if i!=1:
        res[i] = max(res[i],1)

d = 1
for i in range(max(a)+1):
    if res[i]>0:
        d*=i**res[i]
ans = 0
for i in range(n):
    ans = (ans+d//a[i])%mod
print(ans)

### FIXED CODE ###

import sys

n = int(input())
a = [int(x) for x in input().split()]
am = max(a)
mod = 10**9+7
if n==1:
    print(1)
    sys.exit()
li = [0]*(am+1)
lcm = 1
for k in range(n):
    z = a[k]
    for i in range(2,int(z**0.5)+1):
        x = 0
        while z%i==0:
            x += 1
            z//=i
        li[i] = max(li[i],x)
    if z!=1 and li[z]==0:
        li[z] = 1

for i in range(2,am+1):
    if li[i]>0:
        lcm = lcm * i**li[i] % mod

ans = 0
for i in range(n):
    m = pow(a[i],mod-2,mod)
    ans = (ans+(lcm*m)%mod)%mod
print(ans%mod)
### BUGGY CODE ###

S = input()
N = len(S)
dp = [[0 for _ in range(N//2+2)] for _ in range(N)]

for i in range(N-1,-1,-1):
  for j in range(i//2+1,-1,-1):
    if i == N-1:
      if S[i] == 'g':
        if j > 0:
          dp[i][j] = 1
        else:
          dp[i][j] = 0
      else:
        if j > 0:
          dp[i][j] = 0
        else:
          dp[i][j] = -1
    else:
      if S[i] == 'g':
        if j > 0:
          dp[i][j] = max(1+dp[i+1][j-1],dp[i+1][j+1])
        else:
          dp[i][j] = dp[i+1][j+1]
      else:
        if j > 0:
          dp[i][j] = max(dp[i+1][j-1],-1+dp[i+1][j+1])
        else:
          dp[i][j] = -1+dp[i+1][j+1]

print(dp[0][0])


### FIXED CODE ###

S = input()

A = 'gp' * (len(S)//2)
if len(S) % 2 == 1:
  A += 'g'
ans = 0
for i in range(len(S)):
  if S[i] == 'p' and A[i] == 'g':
    ans -= 1
  elif S[i] == 'g' and A[i] == 'p':
    ans += 1
print(ans)
### BUGGY CODE ###

a, b = list(map(int, input().split()))
ansL = 0
ansR = 0
for i in range(a, int((b + a + 1) / 2)):
    ansL = ansL ^ i
    ansR = ansR ^ b + a - i
if (a + b) % 2 == 0 :
    ansL = ansL ^ int((a + b) / 2)
print(ansL ^ ansR)

### FIXED CODE ###

a, b = list(map(int, input().split()))
def division2(n):
    if(n % 2 == 0):
        return True
    else:
        return False
k = b - a + 1
if division2(k):##戸数が偶数
    if division2(a):
        if division2(k / 2):##個数の半分が偶数
            print(0)
        else:
            print(1)
    else:
        if division2((k - 2)/2):
            print(a ^ b)
        else:
            print(1 ^ a ^ b)
else:
    if division2(a):##最初がguu数
        if division2((k - 1) / 2):
            print(b)
        else:
            print(b ^ 1)
    else:
        if division2((k - 1) / 2):
            print(a)
        else:
            print(a ^ 1)