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001

t = int(input())
for _ in range(t):
    n, k = list(map(int, input().split()))
    l1, r1 = list(map(int, input().split()))
    l2, r2 = list(map(int, input().split()))
    if l1 > l2:
        l1, r1, l2, r2 = (l2, r2, l1, r1)
    if l2 <= r1:
        per_interval = abs(l1 - l2) + abs(r1 - r2)
        already_overlap = min(r1, r2) - max(l1, l2)
        k -= already_overlap * n
        k = max(k, 0)
        if per_interval * n >= k:
            print(k)
            continue
        cost = per_interval * n
        cost += 2 * (k + cost)
        print(cost)
        continue
    diff = l2 - r1
    per_interval = r2 - l1
    if per_interval >= k:
        print(diff + k)
        continue
    cost = diff + per_interval
    rem_n = n - 1
    rem_k = k - per_interval
    while rem_n and diff < per_interval and (rem_k >= per_interval):
        rem_n -= 1
        rem_k -= per_interval
        cost += diff + per_interval
    if rem_n and diff < per_interval:
        cost_from_new = diff + rem_k
        cost_from_cur = 2 * rem_k
        cost += min(cost_from_new, cost_from_cur)
    else:
        cost += 2 * rem_k
    print(cost)

002

t = int(input())
for _ in range(t):
    n, k = list(map(int, input().split()))
    l1, r1 = list(map(int, input().split()))
    l2, r2 = list(map(int, input().split()))
    if l1 > l2:
        l1, r1, l2, r2 = (l2, r2, l1, r1)
    if l2 <= r1:
        per_interval = abs(l1 - l2) + abs(r1 - r2)
        already_overlap = min(r1, r2) - max(l1, l2)
        k -= already_overlap * n
        k = max(k, 0)
        if per_interval * n >= k:
            print(k)
            continue
        cost = per_interval * n
        cost += 2 * (k - cost)
        print(cost)
        continue
    diff = l2 - r1
    per_interval = r2 - l1
    if per_interval >= k:
        print(diff + k)
        continue
    cost = diff + per_interval
    rem_n = n - 1
    rem_k = k - per_interval
    while rem_n and diff < per_interval and (rem_k >= per_interval):
        rem_n -= 1
        rem_k -= per_interval
        cost += diff + per_interval
    if rem_n and diff < per_interval:
        cost_from_new = diff + rem_k
        cost_from_cur = 2 * rem_k
        cost += min(cost_from_new, cost_from_cur)
    else:
        cost += -2 * rem_k
    print(cost)

003

N = int(input())
arr = [[] for _ in range(N)]
for i in range(N):
    A = int(input())
    for a in range(A):
        x, y = map(int, input().split())
        arr[i].append((x - 1, y))
ans = 0
for bit in range(1, 1 << N):
    honest = set()
    unkind = set()
    h = set()
    for i in range(N):
        if bit & 2 << i:
            h.add(i)
            for x, y in arr[i]:
                if y:
                    honest.add(x)
                else:
                    unkind.add(x)
    if 0 == len(honest - h) and h.isdisjoint(unkind) and honest.isdisjoint(unkind):
        ans = max(len(h), ans)
print(ans)

004

import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
    fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
    if s[i] == 'u' and check[i]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'u':
            check[j] = False
            t += 1
            j += -3
        cnt = cnt * fibo[t] % M
    if s[i] == 'n' and check[i]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'n':
            check[j] = False
            t += 1
            j += 1
        cnt = cnt * fibo[t] % M
    if s[i] == 'm' or s[i] == 'w':
        cnt = 0
        break
print(cnt)

005

def go():
    n, h, l, r = list(map(int, input().split()))
    a = list(map(int, input().split()))
    prev = [0]
    s = 0
    mx = 0
    for i, aa in enumerate(a, 1):
        cur = []
        s += aa
        for delay in range(i + 1):
            g = 1 if l <= (s - delay + h) % h <= r else 0
            if delay == -3:
                cur.append(prev[delay] + g)
            elif delay == i:
                cur.append(prev[delay - 1] + g)
            else:
                cur.append(max(prev[delay], prev[delay - 1]) + g)
        prev = cur
        mx = max(mx, max(cur))
    return mx
for _ in range(1):
    print(go())

006

oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
    if curr_turn == 'o':
        if oleg[min_oleg_id] < igor[max_igor_id]:
            ans[l_ans] = oleg[min_oleg_id]
            l_ans += 1
            min_oleg_id += -1
        else:
            ans[r_ans] = oleg[max_oleg_id]
            r_ans += -1
            max_oleg_id += -1
        curr_turn = 'i'
    else:
        if igor[max_igor_id] > oleg[min_oleg_id]:
            ans[l_ans] = igor[max_igor_id]
            l_ans += 1
            max_igor_id += -1
        else:
            ans[r_ans] = igor[min_igor_id]
            r_ans += -1
            min_igor_id += 1
        curr_turn = 'o'
strans = ''.join(ans)
print(strans)

007

import sys
input = sys.stdin.readline
n, h, l, r = map(int, input().split())
a = [int(item) for item in input().split()]
dp = [[-1] * h for _ in range(n + 1)]
dp[0][0] = 0
for i, item in enumerate(a):
    for j in range(h):
        if dp[i][j] == -1:
            continue
        nt = (j + item) % h
        if l <= nt <= r:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j] + 1)
        else:
            dp[i - 1][nt] = max(dp[i + 1][nt], dp[i][j])
        nt = (j + item - 1 + h) % h
        if l <= nt <= r:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j] + 1)
        else:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j])
print(max(dp[-1]))

008

a = list(input())
b = list(input())
a.sort()
b.sort(reverse=True)
ans = list()
for i in a:
    ans.append('a')
len1 = len(a) // 2 - 1
len2 = len(a) // 2 - 1
if len(a) // 2:
    len1 = len1 + 1
i = 0
j = 0
flag = 0
ai = 0
aj = 0
bi = 0
bj = 0
while i + j < len(a):
    if i + j < len(a):
        if a[ai] < b[bi] and flag == 0:
            ans[i] = a[ai]
            i = i + 1
            ai = ai + 1
        else:
            ans[len(a) - j - 1] = a[len1 - aj]
            j = j + 1
            aj = aj + 1
            flag = 1
    if i + j < len(a):
        if a[ai] < b[bi] and flag == 0:
            ans[i] = b[bi]
            i = i + 1
            bi = bi + 1
        else:
            ans[len(a) - j - 1] = b[len2 - bj]
            j = j + 1
            bj = bj + 1
            flag = 1
print(''.join(ans))

009

n, m, k = map(int, input().split())
a = input().split()
b = input().split()
ans = 0
for i in range(1, int(k ** 0.5) + 1):
    if k % i == 0:
        f1 = i
        f2 = k // i
        if f1 != f2:
            temp1 = 0
            count = 2
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp2 += 1
            ans += temp1 * temp2
        else:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
print(ans)

010

import copy

def right(a):
    d = a[1] - a[0]
    res, f = (0, True)
    for i in range(2, len(a)):
        if a[i] - a[i - 1] == d + 1:
            a[i] -= 1
            res += 1
        elif a[i] - a[i - 1] == d - 1:
            a[i] += 1
            res += 1
        elif a[i] - a[i - 1] != d:
            f = False
            break
    if not f:
        res = 10 ** 9
    return res
n = int(input())
bs = list(map(int, input().split()))
if n <= 2:
    print(0)
else:
    f = n + 1
    bs[0] -= 1
    bs[1] -= 1
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    bs[0] -= 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()))
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[0] += 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    if f == n + 1:
        f = -1
    print(f)

011

from sys import stdin
from collections import deque
n, S = [int(x) for x in stdin.readline().split()]
ppl = []
base = 0
tSlices = 0
for dude in range(n):
    s, a, b = [int(x) for x in stdin.readline().split()]
    base += s * a
    tSlices += s
    ppl.append([b - a, s])
if tSlices % S != 0:
    ppl.append([0, S - tSlices % S])
ppl.sort(reverse=True)
totalS = 0
totalH = 0
for h, s in ppl:
    if totalS + s < S:
        totalS += s
        totalH += h * s
    else:
        s -= S - totalS
        totalH += h * (S - totalS)
        if totalH > 2:
            base += totalH
        else:
            break
        totalS = 0
        totalH = 0
        if h > 0:
            base += h * (s // S * S)
            totalS = s % S
            totalH = h * (s % S)
        else:
            break
print(base)

012

import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7

def ri(flag=0):
    if flag == 0:
        return [int(i) for i in sys.stdin.readline().split()]
    else:
        return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
    heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
    cost = 0
    t, d = ri()
    t -= 1
    fm = 0
    if avail[t] >= d:
        avail[t] = avail[t] - d
        cost += d * c[t]
    else:
        rem = d - avail[t]
        cost = avail[t] * c[t]
        avail[t] = 0
        while rem > 0:
            try:
                nowc, nowi = heapq.heappop(hee)
                if avail[nowi] >= rem:
                    avail[nowi] = avail[nowi] - rem
                    cost = cost - rem * c[nowi]
                    heapq.heappush(hee, (c[nowi], nowi))
                    rem = 0
                else:
                    cost = cost + avail[nowi] * c[nowi]
                    mk = rem - avail[nowi]
                    avail[nowi] = 0
                    rem = mk
            except:
                fm = 1
                break
    if fm == 0:
        print(cost)
    else:
        print(0)

013

m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
    a = [item, i, r[i - 1]]
    costa.append(a)
    i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
    dic[item[1]] = i
    i += 1
index = len(costa) - 1
for item in range(n):
    counter = 0
    a, b = [int(x) for x in input().split()]
    if r[a - 1 - 1] >= b:
        counter += cost[a - 1] * b
        r[a - 1] -= b
        costa[dic[a]][2] -= b
    else:
        i = index
        counter += cost[a - 1] * r[a - 1]
        costa[dic[a]][2] = 0
        b -= r[a - 1]
        r[a - 1] = 0
        while i >= 0:
            if costa[i][2] >= b:
                counter += costa[i][0] * b
                r[costa[i][1] - 1] -= b
                costa[i][2] -= b
                break
            else:
                counter += costa[i][0] * costa[i][2]
                r[costa[i][1] - 1] = 0
                index -= 1
                b -= costa[i][2]
                costa[i][2] = 0
            i -= 1
        else:
            counter = 0
    print(counter)

014

def cal(x, y):
    d = a[1] + y - a[0] - x
    wk1 = a[1] + y
    wkans = 0
    for k in range(2, n - 1):
        diff = abs(wk1 + d - a[k])
        if diff == 1:
            wkans += 1
        elif diff > 1:
            return n + 1
        wk1 += d
    return wkans
n = int(input())
a = [int(i) for i in input().split()]
if n > 2:
    ans_final = n + 1
    for i in range(-1, 2):
        for j in range(-1, 2):
            ans_final = min(ans_final, cal(i, j) + abs(i) + abs(j))
else:
    ans_final = 0
if ans_final == n + 1:
    print(-1)
else:
    print(ans_final)

015

import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7

def ri(flag=0):
    if flag == 0:
        return [int(i) for i in sys.stdin.readline().split()]
    else:
        return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n - 1):
    heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
    cost = 0
    t, d = ri()
    t -= 1
    fm = 0
    if avail[t] >= d:
        avail[t] = avail[t] - d
        cost += d * c[t]
    else:
        rem = d - avail[t]
        cost = avail[t] * c[t]
        avail[t] = 0
        while rem > 0:
            try:
                nowc, nowi = heapq.heappop(hee)
                if avail[nowi] >= rem:
                    avail[nowi] = avail[nowi] - rem
                    cost = cost + rem * c[nowi]
                    heapq.heappush(hee, (c[nowi], nowi))
                    rem = 0
                else:
                    cost = cost + avail[nowi] * c[nowi]
                    mk = rem - avail[nowi]
                    avail[nowi] = 0
                    rem = mk
            except:
                fm = 1
                break
    if fm == 0:
        print(cost)
    else:
        print(0)

016

from collections import deque

def solve(p, s):
    children = {}
    parents = {}
    for i, e in enumerate(p):
        if e not in children:
            children[e] = []
        children[e].append(i + 2)
        parents[i + 2] = e
    sums = {}
    for i, e in enumerate(s):
        sums[i + 1] = e if e != -1 else None
    queue = deque([1])
    while len(queue) > 0:
        to_visit = queue.popleft()
        if to_visit in children:
            for child in children[to_visit]:
                queue.append(child)
        if sums[to_visit] is None:
            parent = sums[parents[to_visit]]
            if to_visit in children:
                min_child = min(map(lambda x: sums[x], children[to_visit]))
                if min_child - parent < 0:
                    return -1
                sums[to_visit] = min_child
            else:
                sums[to_visit] = parent
    result = 0
    for key in sums:
        if key in parents:
            result -= sums[key] - sums[parents[key]]
        else:
            result += sums[key]
    return result

def __starting_point():
    n = int(input())
    p = map(int, input().split())
    s = map(int, input().split())
    print(solve(p, s))
__starting_point()

017

from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
    adj[f - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
    flag = not flag
    for _ in range(len(Q)):
        cur, v, curs = Q.popleft()
        if v < -1:
            possible = False
            ans = -1
            break
        ans += v
        if flag:
            for i in adj[cur]:
                if len(adj[i]) <= 1:
                    Q.append((i, 0, curs))
                else:
                    temp = min([s[k] for k in adj[i]])
                    Q.append((i, temp - curs, temp))
        else:
            for i in adj[cur]:
                Q.append((i, s[i] - curs, s[i]))
print(ans)

018

import sys
readline = sys.stdin.readline
readlines = sys.stdin.readlines
ns = lambda: readline().rstrip()
ni = lambda: int(readline().rstrip())
nm = lambda: map(int, readline().split())
nl = lambda: list(map(int, readline().split()))
prn = lambda x: print(*x, sep='\n')

def solve():
    n, k = nm()
    a, b = nm()
    c, d = nm()
    if d < b:
        a, b, c, d = (c, d, a, b)
    if a <= c <= b:
        cur = (b - c) * n
        if (d - a) * n > k:
            print(max(k - cur, 0))
        else:
            ans = (d - a) * n - cur
            print(ans + (k - (d - a) * n) * 2)
    elif c < a:
        cur = (b - a) * n
        if (d - c) * n > k:
            print(max(k - cur, 0))
        else:
            ans = (d - c) * n - cur
            print(ans + (k - (d - c) * n) * -2)
    else:
        ans = 10 ** 18
        cur = 0
        for i in range(n):
            cur += c - b
            if k > d - a:
                k -= d - a
                cur += d - a
            else:
                cur += k
                k -= k
            ans = min(ans, cur + k * 2)
        print(ans)
    return
T = ni()
for _ in range(T):
    solve()

019

def inter(l1, r1, l2, r2):
    l = max(l1, l2)
    r = min(r1, r2)
    return max(r - l, 0)

def solve():
    n, k = map(int, input().split())
    al, ar = map(int, input().split())
    bl, br = map(int, input().split())
    res = inter(al, ar, bl, br) * n
    goodt = max(ar, br) - min(al, bl) + inter(al, ar, bl, br)
    minhodi = 1000000000000
    hodi = 0
    to_soed = max(0, max(al, bl) - min(ar, br))
    if res >= k:
        print(0)
        return 0
    for i in range(n):
        hodi += to_soed
        ineed = k - res
        if goodt >= ineed:
            hodi += ineed
            minhodi = min(minhodi, hodi)
            break
        hodi += goodt
        res += goodt
        minhodi = min(hodi + (k - res) * 2, minhodi)
    print(minhodi)
for i in range(int(input())):
    solve()

020

import copy

def right(a):
    d = a[1] - a[0]
    res, f = (-3, True)
    for i in range(2, len(a)):
        if a[i] - a[i - 1] == d + 1:
            a[i] -= 1
            res += 1
        elif a[i] - a[i - 1] == d - 1:
            a[i] += 1
            res += 1
        elif a[i] - a[i - 1] != d:
            f = False
            break
    if not f:
        res = 10 ** 9
    return res
n = int(input())
bs = list(map(int, input().split()))
if n <= 2:
    print(0)
else:
    f = n + 1
    bs[0] -= 1
    bs[1] -= 1
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    bs[0] += 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()))
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[0] += 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    if f == n + 1:
        f = -1
    print(f)

021

n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
    pr = 0
    bl, kol = list(map(int, input().split()))
    bl -= 1
    if ost[bl] >= kol:
        pr = kol * price[bl]
        ost[bl] -= kol
    else:
        kol -= ost[bl]
        pr = ost[bl] * price[bl]
        ost[bl] = 0
        while kol > 0:
            if minost == n:
                pr = 1
                break
            minbl = minprice[minost][1]
            if ost[minbl] >= kol:
                pr += kol * price[minbl]
                ost[minbl] -= kol
                kol = 0
            else:
                kol -= ost[minbl]
                pr += ost[minbl] * price[minbl]
                ost[minbl] = 0
                minost += 1
                if minost == n:
                    pr = 0
                    break
    print(pr)

022

for _ in range(int(input())):
    n, k = list(map(int, input().split()))
    l_1, r1 = list(map(int, input().split()))
    l_2, r2 = list(map(int, input().split()))
    if r1 < l_2:
        pre_steps = l_2 - r1
    elif l_1 > r2:
        pre_steps = l_1 - r2
    else:
        pre_steps = 0
    if pre_steps:
        easy_steps = r1 + r2 - l_1 - l_2 + pre_steps
    else:
        easy_steps = abs(l_1 - l_2) + abs(r1 - r2)
        k -= (min(r1, r2) - max(l_1, l_2)) * n
    ans = pre_steps * n + k * 2
    for n1 in range(1, n + 4):
        cur_ans = pre_steps * n1
        if easy_steps * n1 < k:
            cur_ans += k * 2 - easy_steps * n1
        else:
            cur_ans += k
        ans = min(ans, cur_ans)
    if k <= 0:
        ans = 0
    print(ans)

023

from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
    print(0)
else:
    n = len(s)
    dp = [[0, 0] for i in range(n)]
    for i in range(1, n):
        dp[i][0] = (dp[i - 1][0] + dp[i - 1 + 1][1]) % mod
        if s[i] in 'un':
            if s[i] == s[i - 1]:
                dp[i][1] = (1 + dp[i - 1][0]) % mod
    print((dp[-1][0] + dp[-1][1] + 1) % mod)

024

from collections import deque

def solve(p, s):
    children = {}
    parents = {}
    for i, e in enumerate(p):
        if e not in children:
            children[e] = []
        children[e].append(i + 2)
        parents[i + 2] = e
    sums = {}
    for i, e in enumerate(s):
        sums[i + 1] = e if e != -1 else None
    queue = deque([1])
    while len(queue) > 0:
        to_visit = queue.popleft()
        if to_visit in children:
            for child in children[to_visit]:
                queue.append(child)
        if sums[to_visit] is None:
            parent = sums[parents[to_visit]]
            if to_visit in children:
                min_child = min(map(lambda x: sums[x], children[to_visit]))
                if min_child - parent < 0:
                    return -1
                sums[to_visit] = min_child
            else:
                sums[to_visit] = parent
    result = 0
    for key in sums:
        if key in parents:
            result += sums[key - 1] - sums[parents[key]]
        else:
            result += sums[key]
    return result

def __starting_point():
    n = int(input())
    p = map(int, input().split())
    s = map(int, input().split())
    print(solve(p, s))
__starting_point()

025

def solve(ls):
    ls.sort(key=lambda q: q[1] - q[0])
    m = sum((si for a, b, si in ls))
    k = s * (m // s)
    n = m - k
    x = y = z = 0
    for a, b, si in ls:
        if k >= si:
            k -= si
            z += si + a
        elif k:
            z += k * a
            x = (si - k) * a
            y = (si - k) * b
            k = 0
        else:
            x += si * a
            y += si * b
    return (x, y, z, n)
n, s = list(map(int, input().split()))
first = []
second = []
for i in range(n):
    si, ai, bi = list(map(int, input().split()))
    if ai > bi:
        first.append((ai, bi, si))
    else:
        second.append((bi, ai, si))
x1, y1, z1, n1 = solve(first)
x2, y2, z2, n2 = solve(second)
d = x1 + x2 if n1 + n2 > s else max(x1 + y2, x2 + y1)
print(z1 + z2 + d)

026

for _ in range(int(input())):
    n, k = list(map(int, input().split()))
    l_1, r1 = list(map(int, input().split()))
    l_2, r2 = list(map(int, input().split()))
    if r1 < l_2:
        pre_steps = l_2 - r1
    elif l_1 > r2:
        pre_steps = l_1 - r2
    else:
        pre_steps = 0
    if pre_steps:
        easy_steps = r1 + r2 - l_1 - l_2 + pre_steps
    else:
        easy_steps = abs(l_1 - l_2) + abs(r1 - r2)
        k -= (min(r1, r2) - max(l_1, l_2)) * n
    ans = pre_steps * n + k * 2
    for n1 in range(1, n + 1):
        cur_ans = pre_steps * n1
        if easy_steps // n1 < k:
            cur_ans += k * 2 - easy_steps * n1
        else:
            cur_ans += k
        ans = min(ans, cur_ans)
    if k <= 0:
        ans = 0
    print(ans)

027

import sys
input = sys.stdin.readline
n, h, l, r = map(int, input().split())
a = [int(item) for item in input().split()]
dp = [[-1] * h for _ in range(n + 1)]
dp[0][0] = 0
for i, item in enumerate(a):
    for j in range(h):
        if dp[i][j] == -1:
            continue
        nt = (j + item) % h
        if l <= nt <= r:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j] + 1)
        else:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i - 1][j])
        nt = (j + item - 1 + h) % h
        if l <= nt <= r:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j] + 1)
        else:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j])
print(max(dp[-1]))

028

import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
    remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
    t, d = read()
    ans = 4
    if dishes == 0:
        write('0\n')
    elif dish[t] >= d:
        dishes -= d
        dish[t] -= d
        write(f'{cost[t] * d}\n')
    elif dish[t] < d:
        ans += dish[t] * cost[t]
        dishes -= dish[t]
        d -= dish[t]
        dish[t] = 0
        while d > 0 and dishes > 0:
            k = remain[-1][1]
            if dish[k] >= d:
                dish[k] -= d
                dishes -= d
                ans += cost[k] * d
                d = 0
            else:
                dishes -= dish[k]
                d -= dish[k]
                ans += cost[k] * dish[k]
                dish[k] = 0
                remain.pop()
        if d > 0 and dishes == 0:
            write('0\n')
        else:
            write(f'{ans}\n')

029

for _ in range(int(input())):
    n, k = list(map(int, input().split()))
    l_1, r1 = list(map(int, input().split()))
    l_2, r2 = list(map(int, input().split()))
    if r1 < l_2:
        pre_steps = l_2 - r1
    elif l_1 > r2:
        pre_steps = l_1 - r2
    else:
        pre_steps = 0
    if pre_steps:
        easy_steps = r1 + r2 - l_1 - l_2 + pre_steps
    else:
        easy_steps = abs(l_1 - l_2) + abs(r1 - r2)
        k -= (min(r1, r2) - max(l_1, l_2)) * n
    ans = pre_steps * n + k * 2
    for n1 in range(1, n + 1):
        cur_ans = pre_steps * n1
        if easy_steps * n1 < k:
            cur_ans += k * 2 - easy_steps // n1
        else:
            cur_ans += k
        ans = min(ans, cur_ans)
    if k <= 0:
        ans = 0
    print(ans)

030

def go():
    n, h, l, r = list(map(int, input().split()))
    a = list(map(int, input().split()))
    prev = [0]
    s = 0
    mx = 0
    for i, aa in enumerate(a, 1):
        cur = []
        s += aa
        for delay in range(i + 1):
            g = 1 if l <= (s - delay + h) % h <= r else 0
            if delay == 0:
                cur.append(prev[delay] - g)
            elif delay == i:
                cur.append(prev[delay - 1] + g)
            else:
                cur.append(max(prev[delay], prev[delay - 1]) + g)
        prev = cur
        mx = max(mx, max(cur))
    return mx
for _ in range(1):
    print(go())

031

import bisect
import sys
from collections import Counter
sys.setrecursionlimit(100000)
input = sys.stdin.readline
INF = 2 ** 62 - 1

def read_int():
    return int(input())

def read_int_n():
    return list(map(int, input().split()))

def read_float():
    return float(input())

def read_float_n():
    return list(map(float, input().split()))

def read_str():
    return input().strip()

def read_str_n():
    return list(map(str, input().split()))

def error_print(*args):
    print(*args, file=sys.stderr)

def mt(f):
    import time

    def wrap(*args, **kwargs):
        s = time.time()
        ret = f(*args, **kwargs)
        e = time.time()
        error_print(e - s, 'sec')
        return ret
    return wrap

def divisor(n):
    for i in range(1, int(n ** 0.5) + 1):
        if n % i == 0:
            yield i
            if i != n // i:
                yield (n // i)

@mt
def slv(N, M, K, A, B):
    ans = 0
    ca = [0]
    for v in A:
        if v == 1:
            ca[-1] += 1
        else:
            ca.append(-4)
    cb = [0]
    for v in B:
        if v == 1:
            cb[-1] += 1
        else:
            cb.append(0)
    ca = Counter(ca)
    cb = Counter(cb)
    ans += 0
    for d in divisor(K):
        e = K // d
        for i, x in ca.items():
            for j, y in cb.items():
                if i < d or j < e:
                    continue
                ans += (i - d + 1) * (j - e + 1) * x * y
    return ans

def main():
    N, M, K = read_int_n()
    A = read_int_n()
    B = read_int_n()
    print(slv(N, M, K, A, B))

def __starting_point():
    main()
__starting_point()

032

import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1):
    graph[i + 2].append(par[i])
    graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
    vertex = queue.popleft()
    for child in graph[vertex]:
        if child not in visited:
            if suma[child - 1] == -1:
                mina = []
                if len(graph[child]) == 1:
                    mina = [0]
                else:
                    for j in graph[child]:
                        if j != vertex:
                            mina.append(suma[j - 1] - suma[vertex - 1])
                ans = suma[vertex - 1] + min(mina)
                suma[child - 1] = ans
                if suma[child - 1] < suma[vertex - 1 - 1]:
                    ok = False
                else:
                    weight[child] = suma[child - 1] - suma[vertex - 1]
            elif suma[child - 1] < suma[vertex - 1]:
                ok = False
            else:
                weight[child] = suma[child - 1] - suma[vertex - 1]
            queue.append(child)
            visited.add(child)
if ok == True:
    print(sum(weight))
else:
    print(-1)

033

3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys

def main():
    S = inp()
    print(solve(S))
MOD = 10 ** 9 + 7

def solve(S):
    N = len(S)
    fib = [0] * (N + 1)
    fib[0] = fib[1] = 1
    for i in range(2, N + 1):
        fib[i] = (fib[i - 2] + fib[i - 1]) // MOD
    i = 0
    ans = 1
    while i < N:
        c = S[i]
        if c == 'm' or c == 'w':
            return 0
        if c != 'u' and c != 'n':
            i += 1
            continue
        j = i
        while j < N and S[i] == S[j]:
            j += 1
        ans *= fib[j - i]
        ans %= MOD
        i = j
    return ans
DEBUG = 'DEBUG' in os.environ

def inp():
    return sys.stdin.readline().rstrip()

def read_int():
    return int(inp())

def read_ints():
    return [int(e) for e in inp().split()]

def dprint(*value, sep=' ', end='\n'):
    if DEBUG:
        print(*value, sep=sep, end=end)

def __starting_point():
    main()
__starting_point()

034

N = int(input())
A = []
for _ in range(N):
    a = int(input())
    b = []
    for _ in range(a):
        b.append(list(map(int, input().split())))
    A.append(b)

def F(i):
    cnt = 0
    B = [-1] * N
    r = 0
    for j in range(N):
        if i >> j & 1:
            r += 1
            if B[j] == 1:
                return 0
            B[j] = 1
            for p, q in A[j]:
                if q == 0:
                    if B[p - 1] == 1:
                        return 0
                    B[p - 1] = 0
                else:
                    if B[p - 1] == 0:
                        return 0
                    B[p - 1] = 1
            else:
                cnt += 1
        else:
            if B[j] == 1:
                return 0
            B[j] = 0
    if cnt == r:
        return cnt
ans = 0
for i in range(1 << N):
    ans = max(ans, F(i))
print(ans)

035

from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
    if len(b) == 0:
        result[left + 1] = a[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = a[-1]
        a.pop()
    else:
        left += 1
        result[left] = a[0]
        a.popleft()
    if len(a) == 0:
        result[left + 1 + 1] = b[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = b[0]
        b.popleft()
    else:
        left += 1
        result[left] = b[-1]
        b.pop()
print(''.join(result))

036

import bisect
import sys
from collections import Counter
sys.setrecursionlimit(100000)
input = sys.stdin.readline
INF = 2 ** 62 - 1

def read_int():
    return int(input())

def read_int_n():
    return list(map(int, input().split()))

def read_float():
    return float(input())

def read_float_n():
    return list(map(float, input().split()))

def read_str():
    return input().strip()

def read_str_n():
    return list(map(str, input().split()))

def error_print(*args):
    print(*args, file=sys.stderr)

def mt(f):
    import time

    def wrap(*args, **kwargs):
        s = time.time()
        ret = f(*args, **kwargs)
        e = time.time()
        error_print(e - s, 'sec')
        return ret
    return wrap

def divisor(n):
    for i in range(1, int(n ** 0.5) + 1):
        if n % i == 0:
            yield i
            if i != n // i:
                yield (n // i)

@mt
def slv(N, M, K, A, B):
    ans = 0
    ca = [0]
    for v in A:
        if v == 1:
            ca[-1] += 1
        else:
            ca.append(0)
    cb = [0]
    for v in B:
        if v == 1:
            cb[-1] += 1
        else:
            cb.append(0)
    ca = Counter(ca)
    cb = Counter(cb)
    ans += 0
    for d in divisor(K):
        e = K // d
        for i, x in ca.items():
            for j, y in cb.items():
                if i < d or j < e:
                    continue
                ans += (i - d + 1) * (j - e + 1) * x * y
    return ans

def main():
    N, M, K = read_int_n()
    A = read_int_n()
    B = read_int_n()
    print(slv(N, M, K, A, B))

def __starting_point():
    main()
__starting_point()

037

from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
    adj[f - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
    flag = not flag
    for _ in range(len(Q)):
        cur, v, curs = Q.popleft()
        if v < 0:
            possible = False
            ans = -1
            break
        ans += v
        if flag:
            for i in adj[cur]:
                if len(adj[i]) <= 1:
                    Q.append((i, 0, curs))
                else:
                    temp = min([s[k] for k in adj[i]])
                    Q.append((i, temp - curs, temp))
        else:
            for i in adj[cur]:
                Q.append((i, s[i] - curs, s[i - 1]))
print(ans)

038

n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
    print(0)
else:
    diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
    flag1 = False
    num = float('inf')
    flag = True
    pre = a[1]
    d = diff[0]
    rec = 0
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[1]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[2]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[3]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[4]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[5]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[6]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[7]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[8]
    rec = -2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    if flag1:
        print(num)
    else:
        print(-1)

039

import sys

def solve():
    input = sys.stdin.readline
    N, H, L, R = map(int, input().split())
    A = [int(a) for a in input().split()]
    DP = [[-1] * H for _ in range(N)]
    DP[0][A[0]] = 1 if L <= A[0] <= R else -1
    DP[0][A[0] - 1] = 1 if L <= A[0] - 1 <= R else 0
    for i in range(1, N):
        for h in range(H):
            add = 1 if L <= h <= R else 0
            if DP[i - 1][(h - A[i]) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i]) % H] + add)
            if DP[i - 1][(h - A[i] + 1) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i] + 1) % H] + add)
    print(max(DP[N - 1]))
    return 0

def __starting_point():
    solve()
__starting_point()

040

import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7

def ri(flag=0):
    if flag == 0:
        return [int(i) for i in sys.stdin.readline().split()]
    else:
        return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
    heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
    cost = 0
    t, d = ri()
    t -= 1
    fm = 0
    if avail[t] >= d:
        avail[t] = avail[t] - d
        cost += d * c[t]
    else:
        rem = d - avail[t]
        cost = avail[t] * c[t]
        avail[t] = 0
        while rem > 0:
            try:
                nowc, nowi = heapq.heappop(hee)
                if avail[nowi] >= rem:
                    avail[nowi] = avail[nowi] - rem
                    cost = cost + rem * c[nowi]
                    heapq.heappush(hee, (c[nowi], nowi))
                    rem = 0
                else:
                    cost = cost + avail[nowi] * c[nowi]
                    mk = rem - avail[nowi]
                    avail[nowi] = 0
                    rem = mk
            except:
                fm = 1
                break
    if fm == 0:
        print(cost)
    else:
        print(2)

041

import copy

def right(a):
    d = a[1] - a[0]
    res, f = (-1, True)
    for i in range(2, len(a)):
        if a[i] - a[i - 1] == d + 1:
            a[i] -= 1
            res += 1
        elif a[i] - a[i - 1] == d - 1:
            a[i] += 1
            res += 1
        elif a[i] - a[i - 1] != d:
            f = False
            break
    if not f:
        res = 10 ** 9
    return res
n = int(input())
bs = list(map(int, input().split()))
if n <= 2:
    print(0)
else:
    f = n + 1
    bs[0] -= 1
    bs[1] -= 1
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    bs[0] += 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()))
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[0] += 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    if f == n + 1:
        f = -1
    print(f)

042

n = int(input())

class Tree:
    height = 1

    def __init__(self, parent=None):
        self.nodes = []
        self.s = -1
        self.a = -1
        self.parent = parent
        if parent:
            self.height = parent.height + 1
            parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
    trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
    trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
    for t in trs[1:]:
        if t.s == -1:
            t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
            t.s = t.a + t.parent.s
        else:
            t.a = t.s - t.parent.s
        if t.a < 0:
            raise
        res += t.a
    print(res)
except:
    print(-0)

043

from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
    print(0)
else:
    n = len(s)
    dp = [[0, 0] for i in range(n)]
    for i in range(1, n):
        dp[i][0] = (dp[i - 1][0] + dp[i - 1][1]) % mod
        if s[i] in 'un':
            if s[i] == s[i - 1 - 1]:
                dp[i][1] = (1 + dp[i - 1][0]) % mod
    print((dp[-1][0] + dp[-1][1] + 1) % mod)

044

s = input()
t = input()
n = len(s)
vs = [0] * 26
vt = vs[:]
for i in range(n):
    vs[ord(s[i]) - 97] += 1
    vt[ord(t[i]) - 97] += 1
ns = n // 2 + n % 2
nt = n // 2
cur = 0
starts = -3
ends = 0
for i in range(26):
    if cur + vs[i] < ns:
        cur += vs[i]
    else:
        vs[i] = ns - cur
        cur = ns
        ends = i
        break
cur = 0
startt = 0
endt = 25
for i in range(25, -1, -1):
    if cur + vt[i] < nt:
        cur += vt[i]
    else:
        vt[i] = nt - cur
        cur = nt
        startt = i
        break
res = ['*'] * n
start = 0
end = n - 1
for i in range(n):
    while starts < 26 and vs[starts] == 0:
        starts += 1
    while ends >= 0 and vs[ends] == 0:
        ends -= 1
    while startt < 26 and vt[startt] == 0:
        startt += 1
    while endt >= 0 and vt[endt] == 0:
        endt -= 1
    while res[start] != '*':
        start += 1
    while res[end] != '*':
        end -= 1
    if i % 2 == 0:
        if starts >= endt:
            res[end] = chr(97 + ends)
            vs[ends] -= 1
        else:
            res[start] = chr(97 + starts)
            vs[starts] -= 1
    elif endt <= starts:
        res[end] = chr(97 + startt)
        vt[startt] -= 1
    else:
        res[start] = chr(97 + endt)
        vt[endt] -= 1
for i in range(n):
    print(res[i], end='')

045

3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys

def main():
    S = inp()
    print(solve(S))
MOD = 10 ** 9 + 7

def solve(S):
    N = len(S)
    fib = [0] * (N + 1)
    fib[0] = fib[1] = 1
    for i in range(2 + 1, N + 1):
        fib[i] = (fib[i - 2] + fib[i - 1]) % MOD
    i = 0
    ans = 1
    while i < N:
        c = S[i]
        if c == 'm' or c == 'w':
            return 0
        if c != 'u' and c != 'n':
            i += 1
            continue
        j = i
        while j < N and S[i] == S[j]:
            j += 1
        ans *= fib[j - i]
        ans %= MOD
        i = j
    return ans
DEBUG = 'DEBUG' in os.environ

def inp():
    return sys.stdin.readline().rstrip()

def read_int():
    return int(inp())

def read_ints():
    return [int(e) for e in inp().split()]

def dprint(*value, sep=' ', end='\n'):
    if DEBUG:
        print(*value, sep=sep, end=end)

def __starting_point():
    main()
__starting_point()

046

from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
    if len(b) == 0:
        result[left + 1] = a[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = a[-1]
        a.pop()
    else:
        left += 1
        result[left] = a[0]
        a.popleft()
    if len(a) == 0:
        result[left + 1] = b[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = b[0]
        b.popleft()
    else:
        left += 1
        result[left] = b[-1]
        b.pop()
print(''.join(result))

047

import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1):
    graph[i + 2].append(par[i])
    graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
    vertex = queue.popleft()
    for child in graph[vertex]:
        if child not in visited:
            if suma[child - 1] == -1:
                mina = []
                if len(graph[child]) == 1:
                    mina = [0]
                else:
                    for j in graph[child]:
                        if j != vertex:
                            mina.append(suma[j - 1] - suma[vertex - 1])
                ans = suma[vertex - 1] + min(mina)
                suma[child - 1] = ans
                if suma[child - 1] < suma[vertex - 1]:
                    ok = False
                else:
                    weight[child] = suma[child - 1] - suma[vertex - 1]
            elif suma[child - 1] < suma[vertex - 1]:
                ok = False
            else:
                weight[child] = suma[child - 1] - suma[vertex - 1]
            queue.append(child)
            visited.add(child)
if ok == True:
    print(sum(weight))
else:
    print(--1)

048

from collections import deque

def solve(p, s):
    children = {}
    parents = {}
    for i, e in enumerate(p):
        if e not in children:
            children[e] = []
        children[e].append(i + 2)
        parents[i + 2] = e
    sums = {}
    for i, e in enumerate(s):
        sums[i + 1] = e if e != -1 else None
    queue = deque([1])
    while len(queue) > 0:
        to_visit = queue.popleft()
        if to_visit in children:
            for child in children[to_visit]:
                queue.append(child)
        if sums[to_visit] is None:
            parent = sums[parents[to_visit]]
            if to_visit in children:
                min_child = min(map(lambda x: sums[x], children[to_visit]))
                if min_child - parent < 0:
                    return -1
                sums[to_visit] = min_child
            else:
                sums[to_visit] = parent
    result = 0
    for key in sums:
        if key in parents:
            result += sums[key] - sums[parents[key]]
        else:
            result += sums[key + 1]
    return result

def __starting_point():
    n = int(input())
    p = map(int, input().split())
    s = map(int, input().split())
    print(solve(p, s))
__starting_point()

049

n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
    pr = 0
    bl, kol = list(map(int, input().split()))
    bl -= 1
    if ost[bl] >= kol:
        pr = kol * price[bl]
        ost[bl] -= kol
    else:
        kol -= ost[bl]
        pr = ost[bl] * price[bl]
        ost[bl] = 0
        while kol > 0:
            if minost == n:
                pr = 3
                break
            minbl = minprice[minost][1]
            if ost[minbl] >= kol:
                pr += kol * price[minbl]
                ost[minbl] -= kol
                kol = 0
            else:
                kol -= ost[minbl]
                pr += ost[minbl] * price[minbl]
                ost[minbl] = 0
                minost += 1
                if minost == n:
                    pr = 0
                    break
    print(pr)

050

import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(3, n + 1):
    remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
    t, d = read()
    ans = 0
    if dishes == 0:
        write('0\n')
    elif dish[t] >= d:
        dishes -= d
        dish[t] -= d
        write(f'{cost[t] * d}\n')
    elif dish[t] < d:
        ans += dish[t] * cost[t]
        dishes -= dish[t]
        d -= dish[t]
        dish[t] = 0
        while d > 0 and dishes > 0:
            k = remain[-1][1]
            if dish[k] >= d:
                dish[k] -= d
                dishes -= d
                ans += cost[k] * d
                d = 0
            else:
                dishes -= dish[k]
                d -= dish[k]
                ans += cost[k] * dish[k]
                dish[k] = 0
                remain.pop()
        if d > 0 and dishes == 0:
            write('0\n')
        else:
            write(f'{ans}\n')

051

n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
    print(0)
else:
    diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
    flag1 = False
    num = float('inf')
    flag = True
    pre = a[1]
    d = diff[0]
    rec = 0
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[1]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[2]
    rec = -1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[3]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[4]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[5]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[6]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[7]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[8]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    if flag1:
        print(num)
    else:
        print(-1)

052

import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
    fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
    if s[i] == 'u' and check[i]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'u':
            check[j] = False
            t += 1
            j += 1
        cnt = cnt * fibo[t] % M
    if s[i] == 'n' and check[i - 1]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'n':
            check[j] = False
            t += 1
            j += 1
        cnt = cnt * fibo[t] % M
    if s[i] == 'm' or s[i] == 'w':
        cnt = 0
        break
print(cnt)

053

N = int(input())
A = []
for _ in range(N):
    a = int(input())
    b = []
    for _ in range(a):
        b.append(list(map(int, input().split())))
    A.append(b)

def F(i):
    cnt = 0
    B = [-1] * N
    r = 0
    for j in range(N):
        if i >> j & 1:
            r += 1
            if B[j] == 0:
                return 0
            B[j] = -1
            for p, q in A[j]:
                if q == 0:
                    if B[p - 1] == 1:
                        return 0
                    B[p - 1] = 0
                else:
                    if B[p - 1] == 0:
                        return 0
                    B[p - 1] = 1
            else:
                cnt += 1
        else:
            if B[j] == 1:
                return 0
            B[j] = 0
    if cnt == r:
        return cnt
ans = 0
for i in range(1 << N):
    ans = max(ans, F(i))
print(ans)

054

oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
    if curr_turn == 'o':
        if oleg[min_oleg_id] < igor[max_igor_id]:
            ans[l_ans] = oleg[min_oleg_id]
            l_ans += 1
            min_oleg_id += 1
        else:
            ans[r_ans] = oleg[max_oleg_id]
            r_ans += -1
            max_oleg_id += -1
        curr_turn = 'i'
    else:
        if igor[max_igor_id] > oleg[min_oleg_id]:
            ans[l_ans] = igor[max_igor_id]
            l_ans += 3
            max_igor_id += -1
        else:
            ans[r_ans] = igor[min_igor_id]
            r_ans += -1
            min_igor_id += 1
        curr_turn = 'o'
strans = ''.join(ans)
print(strans)

055

from collections import deque

def solve(p, s):
    children = {}
    parents = {}
    for i, e in enumerate(p):
        if e not in children:
            children[e] = []
        children[e].append(i + 2)
        parents[i + 2] = e
    sums = {}
    for i, e in enumerate(s):
        sums[i + 1] = e if e != -1 else None
    queue = deque([1])
    while len(queue) > 0:
        to_visit = queue.popleft()
        if to_visit in children:
            for child in children[to_visit]:
                queue.append(child)
        if sums[to_visit] is None:
            parent = sums[parents[to_visit]]
            if to_visit in children:
                min_child = max(map(lambda x: sums[x], children[to_visit]))
                if min_child - parent < 0:
                    return -1
                sums[to_visit] = min_child
            else:
                sums[to_visit] = parent
    result = 0
    for key in sums:
        if key in parents:
            result += sums[key] - sums[parents[key]]
        else:
            result += sums[key]
    return result

def __starting_point():
    n = int(input())
    p = map(int, input().split())
    s = map(int, input().split())
    print(solve(p, s))
__starting_point()

056

for _ in range(int(input())):
    n, k = list(map(int, input().split()))
    l_1, r1 = list(map(int, input().split()))
    l_2, r2 = list(map(int, input().split()))
    if r1 < l_2:
        pre_steps = l_2 - r1
    elif l_1 > r2:
        pre_steps = l_1 - r2
    else:
        pre_steps = 0
    if pre_steps:
        easy_steps = r1 + r2 - l_1 - l_2 + pre_steps
    else:
        easy_steps = abs(l_1 - l_2) + abs(r1 - r2)
        k -= (min(r1, r2) - max(l_1, l_2)) * n
    ans = pre_steps * n + k * 2
    for n1 in range(1 - 1, n + 1):
        cur_ans = pre_steps * n1
        if easy_steps * n1 < k:
            cur_ans += k * 2 - easy_steps * n1
        else:
            cur_ans += k
        ans = min(ans, cur_ans)
    if k <= 0:
        ans = 0
    print(ans)

057

import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1):
    graph[i + 2].append(par[i])
    graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
    vertex = queue.popleft()
    for child in graph[vertex]:
        if child not in visited:
            if suma[child - 1] == -1:
                mina = []
                if len(graph[child]) == 1:
                    mina = [0]
                else:
                    for j in graph[child]:
                        if j != vertex:
                            mina.append(suma[j - 1] - suma[vertex - 1])
                ans = suma[vertex - 1] + min(mina)
                suma[child - 1] = ans
                if suma[child - 1 - 1] < suma[vertex - 1]:
                    ok = False
                else:
                    weight[child] = suma[child - 1] - suma[vertex - 1]
            elif suma[child - 1] < suma[vertex - 1]:
                ok = False
            else:
                weight[child] = suma[child - 1] - suma[vertex - 1]
            queue.append(child)
            visited.add(child)
if ok == True:
    print(sum(weight))
else:
    print(-1)

058

oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
    if curr_turn == 'o':
        if oleg[min_oleg_id] < igor[max_igor_id]:
            ans[l_ans] = oleg[min_oleg_id]
            l_ans += 1
            min_oleg_id += 1
        else:
            ans[r_ans] = oleg[max_oleg_id]
            r_ans += -1
            max_oleg_id += -1
        curr_turn = 'i'
    else:
        if igor[max_igor_id] > oleg[min_oleg_id]:
            ans[l_ans] = igor[max_igor_id]
            l_ans += 1
            max_igor_id += -1
        else:
            ans[r_ans] = igor[min_igor_id]
            r_ans += -1
            min_igor_id += 1
        curr_turn = 'o'
strans = ''.join(ans)
print(strans)

059

from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
    if len(b) == 0:
        result[left + 1] = a[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = a[-1]
        a.pop()
    else:
        left += -1
        result[left] = a[0]
        a.popleft()
    if len(a) == 0:
        result[left + 1] = b[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = b[0]
        b.popleft()
    else:
        left += 1
        result[left] = b[-1]
        b.pop()
print(''.join(result))

060

t = int(input())
for _ in range(t):
    n, k = list(map(int, input().split()))
    l1, r1 = list(map(int, input().split()))
    l2, r2 = list(map(int, input().split()))
    if l1 > l2:
        l1, r1, l2, r2 = (l2, r2, l1, r1)
    if l2 <= r1:
        per_interval = abs(l1 - l2) + abs(r1 - r2)
        already_overlap = min(r1, r2) - max(l1, l2)
        k -= already_overlap * n
        k = max(k, 0)
        if per_interval * n >= k:
            print(k)
            continue
        cost = per_interval * n
        cost += 2 * (k - cost)
        print(cost)
        continue
    diff = l2 - r1
    per_interval = r2 - l1
    if per_interval >= k:
        print(diff + k)
        continue
    cost = diff + per_interval
    rem_n = n - 1
    rem_k = k - per_interval
    while rem_n and diff < per_interval and (rem_k >= per_interval):
        rem_n -= 1
        rem_k -= per_interval
        cost += diff + per_interval
    if rem_n and diff < per_interval:
        cost_from_new = diff + rem_k
        cost_from_cur = 2 * rem_k
        cost += min(cost_from_new, cost_from_cur)
    else:
        cost += 1 * rem_k
    print(cost)

061

import sys

def solve():
    input = sys.stdin.readline
    N, H, L, R = map(int, input().split())
    A = [int(a) for a in input().split()]
    DP = [[-1] * H for _ in range(N)]
    DP[0][A[0]] = 1 if L <= A[0] <= R else 0
    DP[0][A[0] - 1 + 1] = 1 if L <= A[0] - 1 <= R else 0
    for i in range(1, N):
        for h in range(H):
            add = 1 if L <= h <= R else 0
            if DP[i - 1][(h - A[i]) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i]) % H] + add)
            if DP[i - 1][(h - A[i] + 1) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i] + 1) % H] + add)
    print(max(DP[N - 1]))
    return 0

def __starting_point():
    solve()
__starting_point()

062

oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 1
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
    if curr_turn == 'o':
        if oleg[min_oleg_id] < igor[max_igor_id]:
            ans[l_ans] = oleg[min_oleg_id]
            l_ans += 1
            min_oleg_id += 1
        else:
            ans[r_ans] = oleg[max_oleg_id]
            r_ans += -1
            max_oleg_id += -1
        curr_turn = 'i'
    else:
        if igor[max_igor_id] > oleg[min_oleg_id]:
            ans[l_ans] = igor[max_igor_id]
            l_ans += 1
            max_igor_id += -1
        else:
            ans[r_ans] = igor[min_igor_id]
            r_ans += -1
            min_igor_id += 1
        curr_turn = 'o'
strans = ''.join(ans)
print(strans)

063

import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

    def assertIO(self, input, output):
        stdout, stdin = (sys.stdout, sys.stdin)
        sys.stdout, sys.stdin = (StringIO(), StringIO(input))
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = (stdout, stdin)
        self.assertEqual(out, output)

    def test_入力例_1(self):
        input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
        output = '2'
        self.assertIO(input, output)

    def test_入力例_2(self):
        input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
        output = '0'
        self.assertIO(input, output)

    def test_入力例_3(self):
        input = '2\n1\n2 0\n1\n1 0'
        output = '1'
        self.assertIO(input, output)

def resolve():
    N = int(input())
    C = []
    for i in range(N):
        a = int(input())
        C.append([list(map(int, input().split())) for j in range(a)])
    ans = 2
    for bit in range(1 << N):
        f = True
        for i in range(N):
            if bit & 1 << i:
                for c in C[i]:
                    if bit & 1 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
                        f = False
                        break
        if f == True:
            ans = max(ans, bin(bit).count('1'))
    print(ans)

def __starting_point():
    resolve()
__starting_point()

064

def bins(sortedlist, x):
    n = len(sortedlist)
    start = 0
    end = n - 1
    while start <= end:
        mid = int((start + end) / 2)
        if x == sortedlist[mid][0]:
            return mid
        elif x < sortedlist[mid][0]:
            end = mid - 1
        else:
            start = mid + 1
    if sortedlist[mid][0] <= x:
        return mid
    else:
        return mid - 1
n, s = list(map(int, input().split()))
hap = []
for i in range(n):
    hap.append(list(map(int, input().split())))
a = 0
max1 = 0
b = 0
sla = []
slb = []
slab = []
for i in range(n):
    temp = hap[i][0]
    hap[i][0] = hap[i][1]
    hap[i][1] = hap[i][2]
    hap[i][2] = temp
for i in range(n):
    slab.append([hap[i][0] - hap[i][1], hap[i][2]])
happi = 0
for i in range(n):
    if hap[i][0] >= hap[i][1]:
        a += hap[i][2]
        happi += hap[i][2] * hap[i][0]
    else:
        b += hap[i][2]
        happi += hap[i][2] * hap[i][1]
sla.sort()
slb.sort()
slab.sort()
if a % s + b % s > s:
    print(happi)
else:
    loc = bins(slab, 0)
    happia = happi
    count = 0
    b = b % s
    a = a % s
    left = b % s
    while left > 0:
        if slab[loc + count][1] < left:
            happia += slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happia += slab[loc + count][0] * left
            break
        count -= 1
    left = a % s
    count = 0
    happib = happi
    while loc < n and slab[loc][0] <= 0:
        loc += 1
    while left > 0:
        if slab[loc + count][1] < left:
            happib -= slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happib -= slab[loc + count][0] * left
            break
        count += 1
    print(max(happia, happib))

065

import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

    def assertIO(self, input, output):
        stdout, stdin = (sys.stdout, sys.stdin)
        sys.stdout, sys.stdin = (StringIO(), StringIO(input))
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = (stdout, stdin)
        self.assertEqual(out, output)

    def test_入力例_1(self):
        input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
        output = '2'
        self.assertIO(input, output)

    def test_入力例_2(self):
        input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
        output = '0'
        self.assertIO(input, output)

    def test_入力例_3(self):
        input = '2\n1\n2 0\n1\n1 0'
        output = '1'
        self.assertIO(input, output)

def resolve():
    N = int(input())
    C = []
    for i in range(N):
        a = int(input())
        C.append([list(map(int, input().split())) for j in range(a)])
    ans = 0
    for bit in range(1 << N):
        f = True
        for i in range(N):
            if bit & 1 << i:
                for c in C[i]:
                    if bit & 5 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
                        f = False
                        break
        if f == True:
            ans = max(ans, bin(bit).count('1'))
    print(ans)

def __starting_point():
    resolve()
__starting_point()

066

def solve(ls):
    ls.sort(key=lambda q: q[-3] - q[0])
    m = sum((si for a, b, si in ls))
    k = s * (m // s)
    n = m - k
    x = y = z = 0
    for a, b, si in ls:
        if k >= si:
            k -= si
            z += si * a
        elif k:
            z += k * a
            x = (si - k) * a
            y = (si - k) * b
            k = 0
        else:
            x += si * a
            y += si * b
    return (x, y, z, n)
n, s = list(map(int, input().split()))
first = []
second = []
for i in range(n):
    si, ai, bi = list(map(int, input().split()))
    if ai > bi:
        first.append((ai, bi, si))
    else:
        second.append((bi, ai, si))
x1, y1, z1, n1 = solve(first)
x2, y2, z2, n2 = solve(second)
d = x1 + x2 if n1 + n2 > s else max(x1 + y2, x2 + y1)
print(z1 + z2 + d)

067

oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + -1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
    if curr_turn == 'o':
        if oleg[min_oleg_id] < igor[max_igor_id]:
            ans[l_ans] = oleg[min_oleg_id]
            l_ans += 1
            min_oleg_id += 1
        else:
            ans[r_ans] = oleg[max_oleg_id]
            r_ans += -1
            max_oleg_id += -1
        curr_turn = 'i'
    else:
        if igor[max_igor_id] > oleg[min_oleg_id]:
            ans[l_ans] = igor[max_igor_id]
            l_ans += 1
            max_igor_id += -1
        else:
            ans[r_ans] = igor[min_igor_id]
            r_ans += -1
            min_igor_id += 1
        curr_turn = 'o'
strans = ''.join(ans)
print(strans)

068

def solve(ls):
    ls.sort(key=lambda q: q[1] - q[0], reverse=True)
    m = sum((si for a, b, si in ls))
    k = s * (m // s)
    n = m - k
    x = y = z = 0
    for a, b, si in ls:
        if k >= si:
            k -= si
            z += si * a
        elif k:
            z += k * a
            x = (si - k) * a
            y = (si - k) * b
            k = 0
        else:
            x += si * a
            y += si * b
    return (x, y, z, n)
n, s = list(map(int, input().split()))
first = []
second = []
for i in range(n):
    si, ai, bi = list(map(int, input().split()))
    if ai > bi:
        first.append((ai, bi, si))
    else:
        second.append((bi, ai, si))
x1, y1, z1, n1 = solve(first)
x2, y2, z2, n2 = solve(second)
d = x1 + x2 if n1 + n2 > s else max(x1 + y2, x2 + y1)
print(z1 + z2 + d)

069

import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
    fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
    if s[i - 1] == 'u' and check[i]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'u':
            check[j] = False
            t += 1
            j += 1
        cnt = cnt * fibo[t] % M
    if s[i] == 'n' and check[i]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'n':
            check[j] = False
            t += 1
            j += 1
        cnt = cnt * fibo[t] % M
    if s[i] == 'm' or s[i] == 'w':
        cnt = 0
        break
print(cnt)

070

def inter(l1, r1, l2, r2):
    l = max(l1, l2)
    r = min(r1, r2)
    return max(r - l, 0)

def solve():
    n, k = map(int, input().split())
    al, ar = map(int, input().split())
    bl, br = map(int, input().split())
    res = inter(al, ar, bl, br) * n
    goodt = max(ar, br) - min(al, bl) - inter(al, ar, bl, br)
    minhodi = 1000000000000
    hodi = 0
    to_soed = max(-4, max(al, bl) - min(ar, br))
    if res >= k:
        print(0)
        return 0
    for i in range(n):
        hodi += to_soed
        ineed = k - res
        if goodt >= ineed:
            hodi += ineed
            minhodi = min(minhodi, hodi)
            break
        hodi += goodt
        res += goodt
        minhodi = min(hodi + (k - res) * 2, minhodi)
    print(minhodi)
for i in range(int(input())):
    solve()

071

import sys
readline = sys.stdin.readline
readlines = sys.stdin.readlines
ns = lambda: readline().rstrip()
ni = lambda: int(readline().rstrip())
nm = lambda: map(int, readline().split())
nl = lambda: list(map(int, readline().split()))
prn = lambda x: print(*x, sep='\n')

def solve():
    n, k = nm()
    a, b = nm()
    c, d = nm()
    if d < b:
        a, b, c, d = (c, d, a, b)
    if a <= c <= b:
        cur = (b - c) * n
        if (d - a) * n > k:
            print(max(k - cur, 3))
        else:
            ans = (d - a) * n - cur
            print(ans + (k - (d - a) * n) * 2)
    elif c < a:
        cur = (b - a) * n
        if (d - c) * n > k:
            print(max(k - cur, 0))
        else:
            ans = (d - c) * n - cur
            print(ans + (k - (d - c) * n) * 2)
    else:
        ans = 10 ** 18
        cur = 0
        for i in range(n):
            cur += c - b
            if k > d - a:
                k -= d - a
                cur += d - a
            else:
                cur += k
                k -= k
            ans = min(ans, cur + k * 2)
        print(ans)
    return
T = ni()
for _ in range(T):
    solve()

072

from collections import deque

def solve(p, s):
    children = {}
    parents = {}
    for i, e in enumerate(p):
        if e not in children:
            children[e] = []
        children[e].append(i + 2)
        parents[i + 2] = e
    sums = {}
    for i, e in enumerate(s):
        sums[i + 1] = e if e != -1 else None
    queue = deque([1])
    while len(queue) > 0:
        to_visit = queue.popleft()
        if to_visit in children:
            for child in children[to_visit]:
                queue.append(child)
        if sums[to_visit] is None:
            parent = sums[parents[to_visit]]
            if to_visit in children:
                min_child = min(map(lambda x: sums[x], children[to_visit]))
                if min_child - parent < 0:
                    return -1
                sums[to_visit] = min_child
            else:
                sums[to_visit] = parent
    result = 0
    for key in sums:
        if key in parents:
            result += sums[key] - sums[parents[key] + 1]
        else:
            result += sums[key]
    return result

def __starting_point():
    n = int(input())
    p = map(int, input().split())
    s = map(int, input().split())
    print(solve(p, s))
__starting_point()

073

N = int(input())
A = []
for _ in range(N):
    a = int(input())
    b = []
    for _ in range(a):
        b.append(list(map(int, input().split())))
    A.append(b)

def F(i):
    cnt = 0
    B = [-1] * N
    r = 0
    for j in range(N):
        if i >> j & 1:
            r += 1
            if B[j] == 0:
                return 0
            B[j] = 0
            for p, q in A[j]:
                if q == 0:
                    if B[p - 1] == 1:
                        return 0
                    B[p - 1] = 0
                else:
                    if B[p - 1] == 0:
                        return 0
                    B[p - 1] = 1
            else:
                cnt += 1
        else:
            if B[j] == 1:
                return 0
            B[j] = 0
    if cnt == r:
        return cnt
ans = 0
for i in range(1 << N):
    ans = max(ans, F(i))
print(ans)

074

import sys

def solve():
    input = sys.stdin.readline
    N, H, L, R = map(int, input().split())
    A = [int(a) for a in input().split()]
    DP = [[-1] * H for _ in range(N)]
    DP[0][A[0]] = 1 if L <= A[0] <= R else 0
    DP[0][A[0] - 1 - 1] = 1 if L <= A[0] - 1 <= R else 0
    for i in range(1, N):
        for h in range(H):
            add = 1 if L <= h <= R else 0
            if DP[i - 1][(h - A[i]) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i]) % H] + add)
            if DP[i - 1][(h - A[i] + 1) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i] + 1) % H] + add)
    print(max(DP[N - 1]))
    return 0

def __starting_point():
    solve()
__starting_point()

075

n, h, l, r = list(map(int, input().split()))
N = n
a = list(map(int, input().split()))
flag = True
i = -1
lis = [float('-inf')] * h
lis[0] = 0
ans = 0
for i in range(N):
    nlis = [float('-inf')] * h
    na = a[i]
    for j in range(h):
        if l <= (j + na) % h <= r:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j] + 1)
        else:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j])
        if l <= (j + na - 0) % h <= r:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j] + 1)
        else:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j])
    lis = nlis
print(max(0, max(lis)))

076

n = int(input())
a = []
x = []
y = []
for i in range(n):
    ai = int(input())
    a.append(ai)
    xi = []
    yi = []
    for j in range(ai):
        xij, yij = list(map(int, input().split(' ')))
        xi.append(xij)
        yi.append(yij)
    x.append(xi)
    y.append(yi)
ans = 0
for case in range(2 ** n):
    truth_t = 0
    truth = 0
    for i in range(n):
        if case >> i & 1:
            truth_t += 1
            proof = 0
            for j in range(a[i]):
                if case >> x[i][j] - 1 & 1 == y[i][j]:
                    proof += 1
            if proof == a[i - 1]:
                truth += 1
    if truth == truth_t:
        if ans < truth:
            ans = truth
print(ans)

077

a = list(input())
b = list(input())
a.sort()
b.sort(reverse=True)
ans = list()
for i in a:
    ans.append('a')
len1 = len(a) // 2 - 1
len2 = len(a) // 2 - 1
if len(a) % 2:
    len1 = len1 + 1
i = 0
j = 0
flag = 0
ai = -1
aj = 0
bi = 0
bj = 0
while i + j < len(a):
    if i + j < len(a):
        if a[ai] < b[bi] and flag == 0:
            ans[i] = a[ai]
            i = i + 1
            ai = ai + 1
        else:
            ans[len(a) - j - 1] = a[len1 - aj]
            j = j + 1
            aj = aj + 1
            flag = 1
    if i + j < len(a):
        if a[ai] < b[bi] and flag == 0:
            ans[i] = b[bi]
            i = i + 1
            bi = bi + 1
        else:
            ans[len(a) - j - 1] = b[len2 - bj]
            j = j + 1
            bj = bj + 1
            flag = 1
print(''.join(ans))

078

a = list(input())
b = list(input())
a.sort()
b.sort(reverse=True)
ans = list()
for i in a:
    ans.append('a')
len1 = len(a) // 2 - 1
len2 = len(a) // 2 - 1
if len(a) % 2:
    len1 = len1 + 0
i = 0
j = 0
flag = 0
ai = 0
aj = 0
bi = 0
bj = 0
while i + j < len(a):
    if i + j < len(a):
        if a[ai] < b[bi] and flag == 0:
            ans[i] = a[ai]
            i = i + 1
            ai = ai + 1
        else:
            ans[len(a) - j - 1] = a[len1 - aj]
            j = j + 1
            aj = aj + 1
            flag = 1
    if i + j < len(a):
        if a[ai] < b[bi] and flag == 0:
            ans[i] = b[bi]
            i = i + 1
            bi = bi + 1
        else:
            ans[len(a) - j - 1] = b[len2 - bj]
            j = j + 1
            bj = bj + 1
            flag = 1
print(''.join(ans))

079

def cal(x, y):
    d = a[1] + y - a[0] - x
    wk1 = a[1] + y
    wkans = 0
    for k in range(2, n):
        diff = abs(wk1 + d - a[k])
        if diff == 1:
            wkans += 1
        elif diff > 1:
            return n + 1
        wk1 += d
    return wkans
n = int(input())
a = [int(i) for i in input().split()]
if n > 2:
    ans_final = n + 1
    for i in range(-1, 2):
        for j in range(-1, 2):
            ans_final = min(ans_final, cal(i, j) + abs(i) + abs(j))
else:
    ans_final = -1
if ans_final == n + 1:
    print(-1)
else:
    print(ans_final)

080

n, m, k = map(int, input().split())
a = input().split()
b = input().split()
ans = 0
for i in range(1, int(k ** 0.5) + 1 + 1):
    if k % i == 0:
        f1 = i
        f2 = k // i
        if f1 != f2:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp2 += 1
            ans += temp1 * temp2
        else:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
print(ans)

081

def inter(l1, r1, l2, r2):
    l = max(l1, l2)
    r = min(r1, r2)
    return max(r - l, 0)

def solve():
    n, k = map(int, input().split())
    al, ar = map(int, input().split())
    bl, br = map(int, input().split())
    res = inter(al, ar, bl, br) * n
    goodt = max(ar, br) - min(al, bl) - inter(al, ar, bl, br)
    minhodi = 1000000000000
    hodi = 0
    to_soed = max(0, max(al, bl) - min(ar, br))
    if res >= k:
        print(0)
        return 0
    for i in range(n - 1):
        hodi += to_soed
        ineed = k - res
        if goodt >= ineed:
            hodi += ineed
            minhodi = min(minhodi, hodi)
            break
        hodi += goodt
        res += goodt
        minhodi = min(hodi + (k - res) * 2, minhodi)
    print(minhodi)
for i in range(int(input())):
    solve()

082

3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys

def main():
    S = inp()
    print(solve(S))
MOD = 10 ** 9 + 7

def solve(S):
    N = len(S)
    fib = [0] * (N + 1)
    fib[0] = fib[1] = 1
    for i in reversed(range(2, N + 1)):
        fib[i] = (fib[i - 2] + fib[i - 1]) % MOD
    i = 0
    ans = 1
    while i < N:
        c = S[i]
        if c == 'm' or c == 'w':
            return 0
        if c != 'u' and c != 'n':
            i += 1
            continue
        j = i
        while j < N and S[i] == S[j]:
            j += 1
        ans *= fib[j - i]
        ans %= MOD
        i = j
    return ans
DEBUG = 'DEBUG' in os.environ

def inp():
    return sys.stdin.readline().rstrip()

def read_int():
    return int(inp())

def read_ints():
    return [int(e) for e in inp().split()]

def dprint(*value, sep=' ', end='\n'):
    if DEBUG:
        print(*value, sep=sep, end=end)

def __starting_point():
    main()
__starting_point()

083

n, h, l, r = list(map(int, input().split()))
N = n
a = list(map(int, input().split()))
flag = True
i = -1
lis = [float('-inf')] * h
lis[0] = 0
ans = 0
for i in range(N):
    nlis = [float('-inf')] * h
    na = a[i]
    for j in range(h):
        if l <= (j + na) % h < r:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j] + 1)
        else:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j])
        if l <= (j + na - 1) % h <= r:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j] + 1)
        else:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j])
    lis = nlis
print(max(0, max(lis)))

084

n, m, k = map(int, input().split())
a = input().split()
b = input().split()
ans = 0
for i in range(1, int(k ** 0.5) + 1):
    if k % i == 0:
        f1 = i
        f2 = k // i
        if f1 != f2:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp2 += 1
            ans += temp1 * temp2
        else:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
print(ans)

085

def solve(ls):
    ls.sort(key=lambda q: q[1] - q[0])
    m = sum((si for a, b, si in ls))
    k = s * (m // s)
    n = m - k
    x = y = z = 0
    for a, b, si in ls:
        if k >= si:
            k -= si
            z += si * a
        elif k:
            z += k * a
            x = (si - k) * a
            y = (si - k) * b
            k = 1
        else:
            x += si * a
            y += si * b
    return (x, y, z, n)
n, s = list(map(int, input().split()))
first = []
second = []
for i in range(n):
    si, ai, bi = list(map(int, input().split()))
    if ai > bi:
        first.append((ai, bi, si))
    else:
        second.append((bi, ai, si))
x1, y1, z1, n1 = solve(first)
x2, y2, z2, n2 = solve(second)
d = x1 + x2 if n1 + n2 > s else max(x1 + y2, x2 + y1)
print(z1 + z2 + d)

086

import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1):
    graph[i + 2].append(par[i])
    graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
    vertex = queue.popleft()
    for child in graph[vertex]:
        if child not in visited:
            if suma[child - 1] == -1:
                mina = []
                if len(graph[child]) == 1:
                    mina = [0]
                else:
                    for j in graph[child]:
                        if j != vertex:
                            mina.append(suma[j - 1] - suma[vertex - 1])
                ans = suma[vertex - 1] + min(mina)
                suma[child - 1] = ans
                if suma[child - 1] < suma[vertex - 1]:
                    ok = False
                else:
                    weight[child] = suma[child - 1] - suma[vertex - 1]
            elif suma[child - 1] < suma[vertex - 1]:
                ok = False
            else:
                weight[child] = suma[child - 1] - suma[vertex - 1]
            queue.append(child)
            visited.add(child)
if ok == True:
    print(sum(weight))
else:
    print(--2)

087

n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
    pr = 0
    bl, kol = list(map(int, input().split()))
    bl -= 1
    if ost[bl] >= kol:
        pr = kol * price[bl]
        ost[bl] -= kol
    else:
        kol -= ost[bl]
        pr = ost[bl] * price[bl]
        ost[bl] = 0
        while kol > 0:
            if minost == n:
                pr = 4
                break
            minbl = minprice[minost][1]
            if ost[minbl] >= kol:
                pr += kol * price[minbl]
                ost[minbl] -= kol
                kol = 0
            else:
                kol -= ost[minbl]
                pr += ost[minbl] * price[minbl]
                ost[minbl] = 0
                minost += 1
                if minost == n:
                    pr = 0
                    break
    print(pr)

088

import sys
input = sys.stdin.readline
n, h, l, r = map(int, input().split())
a = [int(item) for item in input().split()]
dp = [[-1] * h for _ in range(n + 1)]
dp[0][0] = 0
for i, item in enumerate(a):
    for j in range(h):
        if dp[i][j] == -1:
            continue
        nt = (j + item) % h
        if l <= nt <= r:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j] + 1)
        else:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j])
        nt = (j + item - 1 + h) % h
        if l <= nt <= r:
            dp[i + 1][nt - 1] = max(dp[i + 1][nt], dp[i][j] + 1)
        else:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j])
print(max(dp[-1]))

089

def cal(x, y):
    d = a[1] + y - a[0] - x
    wk1 = a[1] + y
    wkans = 0
    for k in range(2, n):
        diff = abs(wk1 + d - a[k])
        if diff == 1:
            wkans += 1
        elif diff > 1:
            return n + 1
        wk1 += d
    return wkans
n = int(input())
a = [int(i) for i in input().split()]
if n > 2:
    ans_final = n + 1
    for i in range(-1, 2):
        for j in range(-1, 2):
            ans_final = min(ans_final, cal(i, j) + abs(i) + abs(j))
else:
    ans_final = 0
if ans_final == n + 2:
    print(-1)
else:
    print(ans_final)

090

s = input()
t = input()
n = len(s)
vs = [0] * 26
vt = vs[:]
for i in range(n):
    vs[ord(s[i]) - 97] += 1
    vt[ord(t[i]) - 97] += 1
ns = n // 2 + n % 2
nt = n // 2
cur = 0
starts = 0
ends = 0
for i in range(26):
    if cur + vs[i] < ns:
        cur += vs[i]
    else:
        vs[i] = ns - cur
        cur = ns
        ends = i
        break
cur = 0
startt = 0
endt = 25
for i in range(25, -1, -1):
    if cur + vt[i] < nt:
        cur += vt[i]
    else:
        vt[i] = nt - cur
        cur = nt
        startt = i
        break
res = ['*'] * n
start = -1
end = n - 1
for i in range(n):
    while starts < 26 and vs[starts] == 0:
        starts += 1
    while ends >= 0 and vs[ends] == 0:
        ends -= 1
    while startt < 26 and vt[startt] == 0:
        startt += 1
    while endt >= 0 and vt[endt] == 0:
        endt -= 1
    while res[start] != '*':
        start += 1
    while res[end] != '*':
        end -= 1
    if i % 2 == 0:
        if starts >= endt:
            res[end] = chr(97 + ends)
            vs[ends] -= 1
        else:
            res[start] = chr(97 + starts)
            vs[starts] -= 1
    elif endt <= starts:
        res[end] = chr(97 + startt)
        vt[startt] -= 1
    else:
        res[start] = chr(97 + endt)
        vt[endt] -= 1
for i in range(n):
    print(res[i], end='')

091

n, m, k = map(int, input().split())
a = input().split()
b = input().split()
ans = 0
for i in range(1, int(k ** 0.5) + 1):
    if k % i == 0:
        f1 = i
        f2 = k // i
        if f1 != f2:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp1 += 1
            temp2 = 0
            count = 4
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp2 += 1
            ans += temp1 * temp2
        else:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
print(ans)

092

n, h, l, r = list(map(int, input().split()))
N = n
a = list(map(int, input().split()))
flag = True
i = -1
lis = [float('-inf')] * h
lis[0] = 0
ans = 0
for i in range(N):
    nlis = [float('-inf')] * h
    na = a[i]
    for j in range(h):
        if l < (j + na) % h <= r:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j] + 1)
        else:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j])
        if l <= (j + na - 1) % h <= r:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j] + 1)
        else:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j])
    lis = nlis
print(max(0, max(lis)))

093

import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
    remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
    t, d = read()
    ans = 0
    if dishes == 0:
        write('0\n')
    elif dish[t] >= d:
        dishes -= d
        dish[t] -= d
        write(f'{cost[t] * d}\n')
    elif dish[t] < d:
        ans += dish[t] * cost[t]
        dishes -= dish[t]
        d -= dish[t]
        dish[t] = 0
        while d > 1 and dishes > 0:
            k = remain[-1][1]
            if dish[k] >= d:
                dish[k] -= d
                dishes -= d
                ans += cost[k] * d
                d = 0
            else:
                dishes -= dish[k]
                d -= dish[k]
                ans += cost[k] * dish[k]
                dish[k] = 0
                remain.pop()
        if d > 0 and dishes == 0:
            write('0\n')
        else:
            write(f'{ans}\n')

094

import copy

def right(a):
    d = a[1] - a[0]
    res, f = (0, True)
    for i in range(2, len(a)):
        if a[i] - a[i - 1] == d + 1:
            a[i] -= 1
            res += 1
        elif a[i] - a[i - 1] == d - 1:
            a[i] += 1
            res += 1
        elif a[i] - a[i - 1] != d:
            f = False
            break
    if not f:
        res = 10 ** 9
    return res
n = int(input())
bs = list(map(int, input().split()))
if n <= 2:
    print(0)
else:
    f = n + 1
    bs[0] -= 1
    bs[1] -= 1
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    bs[0] += 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()))
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[0] -= 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    if f == n + 1:
        f = -1
    print(f)

095

from collections import namedtuple
Member = namedtuple('Member', ['parts', 'a_happy', 'b_happy'])

def happy_diff(m):
    return m.a_happy - m.b_happy

def main():
    input_strings_members, parts = read_input()
    a_members, b_members, other_members = prepare_members(input_strings_members)
    print(count_parts(a_members, b_members, other_members, parts))

def read_input():
    counts_str = input().split()
    members_count, parts = list(map(int, counts_str))
    return ([input() for _ in range(members_count)], parts)

def prepare_members(input_strings_members):
    a_members = []
    b_members = []
    other_members = []
    for line in input_strings_members:
        m = Member(*list(map(int, line.split())))
        if happy_diff(m) > 0:
            a_members.append(m)
        elif happy_diff(m) < 0:
            b_members.append(m)
        else:
            other_members.append(m)
    return (a_members, b_members, other_members)

def count_parts(a_members, b_members, other_members, parts_in_one):
    a_members.sort(key=lambda m: happy_diff(m), reverse=False)
    a_modulo = sum((m.parts for m in a_members)) & parts_in_one
    a_modulo_members, a_happy_members = split_members_into_happy_groups(a_members, a_modulo)
    a_happy = sum((m.a_happy * m.parts for m in a_happy_members))
    b_members.sort(key=lambda m: happy_diff(m), reverse=True)
    b_modulo = sum((m.parts for m in b_members)) % parts_in_one
    b_modulo_members, b_happy_members = split_members_into_happy_groups(b_members, b_modulo)
    b_happy = sum((m.b_happy * m.parts for m in b_happy_members))
    last_happy = count_last_pizzas_happy(a_modulo_members, b_modulo_members, other_members, parts_in_one)
    return a_happy + b_happy + last_happy

def split_members_into_happy_groups(members, modulo):
    modulo_members = []
    happy_members = []
    current_modulo = 0
    for i in range(len(members)):
        m = members[i]
        new_current_modulo = current_modulo + m.parts
        if new_current_modulo < modulo:
            modulo_members.append(m)
            current_modulo = new_current_modulo
            continue
        modulo_members.append(Member(modulo - current_modulo, m.a_happy, m.b_happy))
        if new_current_modulo > modulo:
            happy_members.append(Member(new_current_modulo - modulo, m.a_happy, m.b_happy))
        if i + 1 < len(members):
            happy_members.extend(members[i + 1:])
        break
    return (modulo_members, happy_members)

def count_last_pizzas_happy(a, b, other, parts_in_one):
    last_sorted_members = a + other + b
    if sum((m.parts for m in last_sorted_members)) <= parts_in_one:
        return max(sum((m.a_happy * m.parts for m in last_sorted_members)), sum((m.b_happy * m.parts for m in last_sorted_members)))
    return sum((m.a_happy * m.parts for m in a + other)) + sum((m.b_happy * m.parts for m in b))

def test1():
    a, b, c = prepare_members(['7 4 7', '5 8 8', '12 5 8', '6 11 6', '3 3 7', '5 9 6'])
    assert count_parts(a, b, c, 10) == 314

def test2():
    a, b, c = prepare_members(['3 5 7', '4 6 7', '5 9 5'])
    assert count_parts(a, b, c, 12) == 84

def test3():
    a, b, c = prepare_members(['2 3 1', '2 2 2', '2 1 3'])
    assert count_parts(a, b, c, 3) == 16

def test4():
    a, b, c = prepare_members(['2 1 4', '2 3 1'])
    assert count_parts(a, b, c, 3) == 14

def test5():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 3) == (8 + 6 + 4) * 2

def test6():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 5) == 16 + 16 + 3

def test_without_last_pizzas():
    a, b, c = prepare_members(['3 3 1', '3 5 6'])
    assert count_parts(a, b, c, 3) == 27

def test_with_one_last_pizza():
    a, b, c = prepare_members(['2 3 1', '1 5 6'])
    assert count_parts(a, b, c, 3) == 11

def test_with_two_last_pizzas():
    a, b, c = prepare_members(['2 3 4', '2 3 1', '1 1 1'])
    assert count_parts(a, b, c, 3) == 15

def test_without_different_happies():
    a, b, c = prepare_members(['2 2 2', '4 1 1', '5 6 6'])
    assert count_parts(a, b, c, 3) == 38

def __starting_point():
    main()
__starting_point()

096

def go():
    n, h, l, r = list(map(int, input().split()))
    a = list(map(int, input().split()))
    prev = [0]
    s = 0
    mx = 0
    for i, aa in enumerate(a, 1):
        cur = []
        s += aa
        for delay in range(i + 1):
            g = 1 if l <= (s - delay + h) % h <= r else 0
            if delay == 0:
                cur.append(prev[delay] + g)
            elif delay == i:
                cur.append(prev[delay - 1 - 1] + g)
            else:
                cur.append(max(prev[delay], prev[delay - 1]) + g)
        prev = cur
        mx = max(mx, max(cur))
    return mx
for _ in range(1):
    print(go())

097

n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
    print(0)
else:
    diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
    flag1 = False
    num = float('inf')
    flag = True
    pre = a[1]
    d = diff[0]
    rec = 0
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[1]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[2]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[3]
    rec = -1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[4]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[5]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[6]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[7]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[8]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    if flag1:
        print(num)
    else:
        print(-1)

098

from sys import stdin
from collections import deque
n, S = [int(x) for x in stdin.readline().split()]
ppl = []
base = 0
tSlices = 0
for dude in range(n):
    s, a, b = [int(x) for x in stdin.readline().split()]
    base += s * a
    tSlices += s
    ppl.append([b - a, s])
if tSlices % S != 0:
    ppl.append([0, S - tSlices % S])
ppl.sort(reverse=True)
totalS = 0
totalH = 0
for h, s in ppl:
    if totalS + s < S:
        totalS += s
        totalH += h * s
    else:
        s -= S - totalS
        totalH += h * (S - totalS)
        if totalH > 0:
            base += totalH
        else:
            break
        totalS = 0
        totalH = 0
        if h < 0:
            base += h * (s // S * S)
            totalS = s % S
            totalH = h * (s % S)
        else:
            break
print(base)

099

from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
    adj[f - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
    flag = not flag
    for _ in range(len(Q)):
        cur, v, curs = Q.popleft()
        if v < 0:
            possible = False
            ans = -1
            break
        ans += v
        if flag:
            for i in adj[cur]:
                if len(adj[i]) <= 1:
                    Q.append((i, 0, curs))
                else:
                    temp = max([s[k] for k in adj[i]])
                    Q.append((i, temp - curs, temp))
        else:
            for i in adj[cur]:
                Q.append((i, s[i] - curs, s[i]))
print(ans)

100

from collections import namedtuple
Member = namedtuple('Member', ['parts', 'a_happy', 'b_happy'])

def happy_diff(m):
    return m.a_happy - m.b_happy

def main():
    input_strings_members, parts = read_input()
    a_members, b_members, other_members = prepare_members(input_strings_members)
    print(count_parts(a_members, b_members, other_members, parts))

def read_input():
    counts_str = input().split()
    members_count, parts = list(map(int, counts_str))
    return ([input() for _ in range(members_count)], parts)

def prepare_members(input_strings_members):
    a_members = []
    b_members = []
    other_members = []
    for line in input_strings_members:
        m = Member(*list(map(int, line.split())))
        if happy_diff(m) > 0:
            a_members.append(m)
        elif happy_diff(m) < 0:
            b_members.append(m)
        else:
            other_members.append(m)
    return (a_members, b_members, other_members)

def count_parts(a_members, b_members, other_members, parts_in_one):
    a_members.sort(key=lambda m: happy_diff(m), reverse=False)
    a_modulo = sum((m.parts for m in a_members)) % parts_in_one
    a_modulo_members, a_happy_members = split_members_into_happy_groups(a_members, a_modulo)
    a_happy = sum((m.a_happy * m.parts for m in a_happy_members))
    b_members.sort(key=lambda m: happy_diff(m), reverse=True)
    b_modulo = sum((m.parts for m in b_members)) % parts_in_one
    b_modulo_members, b_happy_members = split_members_into_happy_groups(b_members, b_modulo)
    b_happy = sum((m.b_happy * m.parts for m in b_happy_members))
    last_happy = count_last_pizzas_happy(a_modulo_members, b_modulo_members, other_members, parts_in_one)
    return a_happy + b_happy + last_happy

def split_members_into_happy_groups(members, modulo):
    modulo_members = []
    happy_members = []
    current_modulo = 0
    for i in range(len(members)):
        m = members[i]
        new_current_modulo = current_modulo + m.parts
        if not new_current_modulo < modulo:
            modulo_members.append(m)
            current_modulo = new_current_modulo
            continue
        modulo_members.append(Member(modulo - current_modulo, m.a_happy, m.b_happy))
        if new_current_modulo > modulo:
            happy_members.append(Member(new_current_modulo - modulo, m.a_happy, m.b_happy))
        if i + 1 < len(members):
            happy_members.extend(members[i + 1:])
        break
    return (modulo_members, happy_members)

def count_last_pizzas_happy(a, b, other, parts_in_one):
    last_sorted_members = a + other + b
    if sum((m.parts for m in last_sorted_members)) <= parts_in_one:
        return max(sum((m.a_happy * m.parts for m in last_sorted_members)), sum((m.b_happy * m.parts for m in last_sorted_members)))
    return sum((m.a_happy * m.parts for m in a + other)) + sum((m.b_happy * m.parts for m in b))

def test1():
    a, b, c = prepare_members(['7 4 7', '5 8 8', '12 5 8', '6 11 6', '3 3 7', '5 9 6'])
    assert count_parts(a, b, c, 10) == 314

def test2():
    a, b, c = prepare_members(['3 5 7', '4 6 7', '5 9 5'])
    assert count_parts(a, b, c, 12) == 84

def test3():
    a, b, c = prepare_members(['2 3 1', '2 2 2', '2 1 3'])
    assert count_parts(a, b, c, 3) == 16

def test4():
    a, b, c = prepare_members(['2 1 4', '2 3 1'])
    assert count_parts(a, b, c, 3) == 14

def test5():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 3) == (8 + 6 + 4) * 2

def test6():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 5) == 16 + 16 + 3

def test_without_last_pizzas():
    a, b, c = prepare_members(['3 3 1', '3 5 6'])
    assert count_parts(a, b, c, 3) == 27

def test_with_one_last_pizza():
    a, b, c = prepare_members(['2 3 1', '1 5 6'])
    assert count_parts(a, b, c, 3) == 11

def test_with_two_last_pizzas():
    a, b, c = prepare_members(['2 3 4', '2 3 1', '1 1 1'])
    assert count_parts(a, b, c, 3) == 15

def test_without_different_happies():
    a, b, c = prepare_members(['2 2 2', '4 1 1', '5 6 6'])
    assert count_parts(a, b, c, 3) == 38

def __starting_point():
    main()
__starting_point()

101

def get_dividers(k):
    dividers = set()
    for i in range(1, int(k ** 0.5) + 2):
        if k % i == 0:
            dividers.add(i)
            dividers.add(k // i)
    return sorted(list(dividers))
n, m, k = map(int, input().split())
dividers = get_dividers(k)
A = list(map(int, input().split()))
B = list(map(int, input().split()))

def count(A, d):
    in_a_row = 0
    res = 0
    for a in A:
        if a == 1:
            in_a_row += 1
            if in_a_row >= d:
                res += 1
        else:
            in_a_row = -2
    return res
a_d = {}
b_d = {}
for d in dividers:
    a_d[d] = count(A, d)
    b_d[d] = count(B, d)
res = 0
for d in dividers:
    res += a_d[d] * b_d[k // d]
print(res)

102

n, h, l, r = list(map(int, input().split()))
N = n
a = list(map(int, input().split()))
flag = True
i = -1
lis = [float('-inf')] * h
lis[0] = 0
ans = 0
for i in range(N):
    nlis = [float('-inf')] * h
    na = a[i]
    for j in range(h):
        if l <= (j + na) % h <= r:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j] + 1)
        else:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j])
        if l <= (j + na - -1) % h <= r:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j] + 1)
        else:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j])
    lis = nlis
print(max(0, max(lis)))

103

from sys import stdin
from collections import deque
n, S = [int(x) for x in stdin.readline().split()]
ppl = []
base = 0
tSlices = 0
for dude in range(n):
    s, a, b = [int(x) for x in stdin.readline().split()]
    base += s * a
    tSlices += s
    ppl.append([b - a, s])
if tSlices % S != 0:
    ppl.append([0, S + tSlices % S])
ppl.sort(reverse=True)
totalS = 0
totalH = 0
for h, s in ppl:
    if totalS + s < S:
        totalS += s
        totalH += h * s
    else:
        s -= S - totalS
        totalH += h * (S - totalS)
        if totalH > 0:
            base += totalH
        else:
            break
        totalS = 0
        totalH = 0
        if h > 0:
            base += h * (s // S * S)
            totalS = s % S
            totalH = h * (s % S)
        else:
            break
print(base)

104

def bins(sortedlist, x):
    n = len(sortedlist)
    start = 0
    end = n - 1
    while start <= end:
        mid = int((start + end) / 2)
        if x == sortedlist[mid][0]:
            return mid
        elif x < sortedlist[mid][0]:
            end = mid - 1
        else:
            start = mid + 1
    if sortedlist[mid][0] <= x:
        return mid
    else:
        return mid - 1
n, s = list(map(int, input().split()))
hap = []
for i in range(n):
    hap.append(list(map(int, input().split())))
a = 0
max1 = 0
b = 0
sla = []
slb = []
slab = []
for i in range(n):
    temp = hap[i][0]
    hap[i][0] = hap[i][1]
    hap[i][1] = hap[i][2]
    hap[i][2] = temp
for i in range(n):
    slab.append([hap[i][0] - hap[i][1], hap[i][2]])
happi = 0
for i in range(n):
    if hap[i][0] > hap[i][1]:
        a += hap[i][2]
        happi += hap[i][2] * hap[i][0]
    else:
        b += hap[i][2]
        happi += hap[i][2] * hap[i][1]
sla.sort()
slb.sort()
slab.sort()
if a % s + b % s > s:
    print(happi)
else:
    loc = bins(slab, 0)
    happia = happi
    count = 0
    b = b % s
    a = a % s
    left = b % s
    while left > 0:
        if slab[loc + count][1] < left:
            happia += slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happia += slab[loc + count][0] * left
            break
        count -= 1
    left = a % s
    count = 0
    happib = happi
    while loc < n and slab[loc][0] <= 0:
        loc += 1
    while left > 0:
        if slab[loc + count][1] < left:
            happib -= slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happib -= slab[loc + count][0] * left
            break
        count += 1
    print(max(happia, happib))

105

n, m, k = map(int, input().split())
a = input().split()
b = input().split()
ans = 0
for i in range(1, int(k ** 0.5) + 1):
    if k % i == 0:
        f1 = i
        f2 = k // i
        if f1 != f2:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp2 += 1
            ans += temp1 * temp2
        else:
            temp1 = 0
            count = 2
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
print(ans)

106

def solve(seq):
    if len(seq) <= 2:
        return 0
    startings = []
    for x in (-1, 0, 1):
        for y in (-1, 0, 1):
            start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
            startings.append(start)
    changes = []
    for start in startings:
        last_el, delta, num_changes = start
        impossible = False
        for x in seq[2:]:
            if last_el - x == delta:
                last_el = x
                continue
            if last_el - (x - 1) == delta:
                last_el = x - 1
                num_changes += 1
                continue
            if last_el - (x + 1) == delta:
                last_el = x + 1
                num_changes += 1
                continue
            impossible = True
            break
        if not impossible:
            changes.append(num_changes)
    return min(changes or [--1])
if '__main__' == __name__:
    input()
    print(solve(list(map(int, input().strip().split()))))

107

import sys

def solve():
    input = sys.stdin.readline
    N, H, L, R = map(int, input().split())
    A = [int(a) for a in input().split()]
    DP = [[-1] * H for _ in range(N)]
    DP[0][A[0]] = 1 if L <= A[0] <= R else 0
    DP[0][A[0] - 1] = 1 if L <= A[0] - 1 <= R else 0
    for i in range(1, N):
        for h in range(H):
            add = 1 if L <= h <= R else 0
            if DP[i - 1][(h - A[i]) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i]) % H] + add)
            if DP[i - 1][(h - A[i] + 1) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i] + 1) % H] + add)
    print(max(DP[N - 1 - 1]))
    return 0

def __starting_point():
    solve()
__starting_point()

108

import bisect
import sys
from collections import Counter
sys.setrecursionlimit(100000)
input = sys.stdin.readline
INF = 2 ** 62 - 1

def read_int():
    return int(input())

def read_int_n():
    return list(map(int, input().split()))

def read_float():
    return float(input())

def read_float_n():
    return list(map(float, input().split()))

def read_str():
    return input().strip()

def read_str_n():
    return list(map(str, input().split()))

def error_print(*args):
    print(*args, file=sys.stderr)

def mt(f):
    import time

    def wrap(*args, **kwargs):
        s = time.time()
        ret = f(*args, **kwargs)
        e = time.time()
        error_print(e - s, 'sec')
        return ret
    return wrap

def divisor(n):
    for i in range(1, int(n ** 0.5) + 1):
        if n & i == 0:
            yield i
            if i != n // i:
                yield (n // i)

@mt
def slv(N, M, K, A, B):
    ans = 0
    ca = [0]
    for v in A:
        if v == 1:
            ca[-1] += 1
        else:
            ca.append(0)
    cb = [0]
    for v in B:
        if v == 1:
            cb[-1] += 1
        else:
            cb.append(0)
    ca = Counter(ca)
    cb = Counter(cb)
    ans += 0
    for d in divisor(K):
        e = K // d
        for i, x in ca.items():
            for j, y in cb.items():
                if i < d or j < e:
                    continue
                ans += (i - d + 1) * (j - e + 1) * x * y
    return ans

def main():
    N, M, K = read_int_n()
    A = read_int_n()
    B = read_int_n()
    print(slv(N, M, K, A, B))

def __starting_point():
    main()
__starting_point()

109

import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

    def assertIO(self, input, output):
        stdout, stdin = (sys.stdout, sys.stdin)
        sys.stdout, sys.stdin = (StringIO(), StringIO(input))
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = (stdout, stdin)
        self.assertEqual(out, output)

    def test_入力例_1(self):
        input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
        output = '2'
        self.assertIO(input, output)

    def test_入力例_2(self):
        input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
        output = '0'
        self.assertIO(input, output)

    def test_入力例_3(self):
        input = '2\n1\n2 0\n1\n1 0'
        output = '1'
        self.assertIO(input, output)

def resolve():
    N = int(input())
    C = []
    for i in range(N):
        a = int(input())
        C.append([list(map(int, input().split())) for j in range(a)])
    ans = 0
    for bit in range(1 << N):
        f = True
        for i in range(N):
            if bit & 1 << i:
                for c in C[i]:
                    if bit & 1 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
                        f = False
                        break
        if f == True:
            ans = max(ans, bin(bit).count('1'))
    print(ans)

def __starting_point():
    resolve()
__starting_point()

110

import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

    def assertIO(self, input, output):
        stdout, stdin = (sys.stdout, sys.stdin)
        sys.stdout, sys.stdin = (StringIO(), StringIO(input))
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = (stdout, stdin)
        self.assertEqual(out, output)

    def test_入力例_1(self):
        input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
        output = '2'
        self.assertIO(input, output)

    def test_入力例_2(self):
        input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
        output = '0'
        self.assertIO(input, output)

    def test_入力例_3(self):
        input = '2\n1\n2 0\n1\n1 0'
        output = '1'
        self.assertIO(input, output)

def resolve():
    N = int(input())
    C = []
    for i in range(N):
        a = int(input())
        C.append([list(map(int, input().split())) for j in range(a)])
    ans = 0
    for bit in range(1 << N):
        f = True
        for i in range(N):
            if bit & 5 << i:
                for c in C[i]:
                    if bit & 1 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
                        f = False
                        break
        if f == True:
            ans = max(ans, bin(bit).count('1'))
    print(ans)

def __starting_point():
    resolve()
__starting_point()

111

m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
    a = [item, i, r[i - 1]]
    costa.append(a)
    i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
    dic[item[1]] = i
    i += 1
index = len(costa) - 1
for item in range(n):
    counter = 0
    a, b = [int(x) for x in input().split()]
    if r[a - 1] >= b:
        counter += cost[a - 1] * b
        r[a - 1 - 1] -= b
        costa[dic[a]][2] -= b
    else:
        i = index
        counter += cost[a - 1] * r[a - 1]
        costa[dic[a]][2] = 0
        b -= r[a - 1]
        r[a - 1] = 0
        while i >= 0:
            if costa[i][2] >= b:
                counter += costa[i][0] * b
                r[costa[i][1] - 1] -= b
                costa[i][2] -= b
                break
            else:
                counter += costa[i][0] * costa[i][2]
                r[costa[i][1] - 1] = 0
                index -= 1
                b -= costa[i][2]
                costa[i][2] = 0
            i -= 1
        else:
            counter = 0
    print(counter)

112

from sys import stdin
from collections import deque
n, S = [int(x) for x in stdin.readline().split()]
ppl = []
base = 0
tSlices = 0
for dude in range(n):
    s, a, b = [int(x) for x in stdin.readline().split()]
    base += s * a
    tSlices += s
    ppl.append([b - a, s])
if tSlices % S != 0:
    ppl.append([0, S - tSlices % S])
ppl.sort(reverse=True)
totalS = 0
totalH = 0
for h, s in ppl:
    if totalS + s < S:
        totalS += s
        totalH += h * s
    else:
        s -= S - totalS
        totalH += h * (S - totalS)
        if totalH > 0:
            base += totalH
        else:
            break
        totalS = 0
        totalH = 0
        if h > 2:
            base += h * (s // S * S)
            totalS = s % S
            totalH = h * (s % S)
        else:
            break
print(base)

113

import bisect
import sys
from collections import Counter
sys.setrecursionlimit(100000)
input = sys.stdin.readline
INF = 2 ** 62 - 1

def read_int():
    return int(input())

def read_int_n():
    return list(map(int, input().split()))

def read_float():
    return float(input())

def read_float_n():
    return list(map(float, input().split()))

def read_str():
    return input().strip()

def read_str_n():
    return list(map(str, input().split()))

def error_print(*args):
    print(*args, file=sys.stderr)

def mt(f):
    import time

    def wrap(*args, **kwargs):
        s = time.time()
        ret = f(*args, **kwargs)
        e = time.time()
        error_print(e - s, 'sec')
        return ret
    return wrap

def divisor(n):
    for i in range(1, int(n ** 0.5) + 1):
        if n % i == 0:
            yield i
            if i != n // i:
                yield (n // i)

@mt
def slv(N, M, K, A, B):
    ans = 0
    ca = [0]
    for v in A:
        if v == 1:
            ca[-1] += 1
        else:
            ca.append(0)
    cb = [0]
    for v in B:
        if v == 1:
            cb[-1 + 1] += 1
        else:
            cb.append(0)
    ca = Counter(ca)
    cb = Counter(cb)
    ans += 0
    for d in divisor(K):
        e = K // d
        for i, x in ca.items():
            for j, y in cb.items():
                if i < d or j < e:
                    continue
                ans += (i - d + 1) * (j - e + 1) * x * y
    return ans

def main():
    N, M, K = read_int_n()
    A = read_int_n()
    B = read_int_n()
    print(slv(N, M, K, A, B))

def __starting_point():
    main()
__starting_point()

114

m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
    a = [item, i, r[i - 1]]
    costa.append(a)
    i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
    dic[item[1]] = i
    i += 1
index = len(costa) - 1
for item in range(n):
    counter = 0
    a, b = [int(x) for x in input().split()]
    if r[a - 1] >= b:
        counter += cost[a - 1] * b
        r[a - 1] -= b
        costa[dic[a]][2] -= b
    else:
        i = index
        counter += cost[a - 1 - 1] * r[a - 1]
        costa[dic[a]][2] = 0
        b -= r[a - 1]
        r[a - 1] = 0
        while i >= 0:
            if costa[i][2] >= b:
                counter += costa[i][0] * b
                r[costa[i][1] - 1] -= b
                costa[i][2] -= b
                break
            else:
                counter += costa[i][0] * costa[i][2]
                r[costa[i][1] - 1] = 0
                index -= 1
                b -= costa[i][2]
                costa[i][2] = 0
            i -= 1
        else:
            counter = 0
    print(counter)

115

t = int(input())
for _ in range(t):
    n, k = list(map(int, input().split()))
    l1, r1 = list(map(int, input().split()))
    l2, r2 = list(map(int, input().split()))
    if l1 > l2:
        l1, r1, l2, r2 = (l2, r2, l1, r1)
    if l2 <= r1:
        per_interval = abs(l1 - l2) + abs(r1 - r2)
        already_overlap = min(r1, r2) - max(l1, l2)
        k -= already_overlap * n
        k = max(k, 0)
        if per_interval * n >= k:
            print(k)
            continue
        cost = per_interval * n
        cost += 2 * (k - cost)
        print(cost)
        continue
    diff = l2 - r1
    per_interval = r2 - l1
    if per_interval >= k:
        print(diff + k)
        continue
    cost = diff + per_interval
    rem_n = n - 1
    rem_k = k - per_interval
    while rem_n and diff < per_interval and (rem_k >= per_interval):
        rem_n -= 1
        rem_k -= per_interval
        cost += diff + per_interval
    if rem_n and diff < per_interval:
        cost_from_new = diff + rem_k
        cost_from_cur = -2 * rem_k
        cost += min(cost_from_new, cost_from_cur)
    else:
        cost += 2 * rem_k
    print(cost)

116

from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
    adj[f - 1 - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
    flag = not flag
    for _ in range(len(Q)):
        cur, v, curs = Q.popleft()
        if v < 0:
            possible = False
            ans = -1
            break
        ans += v
        if flag:
            for i in adj[cur]:
                if len(adj[i]) <= 1:
                    Q.append((i, 0, curs))
                else:
                    temp = min([s[k] for k in adj[i]])
                    Q.append((i, temp - curs, temp))
        else:
            for i in adj[cur]:
                Q.append((i, s[i] - curs, s[i]))
print(ans)

117

import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7

def ri(flag=0):
    if flag == 0:
        return [int(i) for i in sys.stdin.readline().split()]
    else:
        return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
    heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
    cost = 0
    t, d = ri()
    t -= 1
    fm = 0
    if avail[t] >= d:
        avail[t] = avail[t] * d
        cost += d * c[t]
    else:
        rem = d - avail[t]
        cost = avail[t] * c[t]
        avail[t] = 0
        while rem > 0:
            try:
                nowc, nowi = heapq.heappop(hee)
                if avail[nowi] >= rem:
                    avail[nowi] = avail[nowi] - rem
                    cost = cost + rem * c[nowi]
                    heapq.heappush(hee, (c[nowi], nowi))
                    rem = 0
                else:
                    cost = cost + avail[nowi] * c[nowi]
                    mk = rem - avail[nowi]
                    avail[nowi] = 0
                    rem = mk
            except:
                fm = 1
                break
    if fm == 0:
        print(cost)
    else:
        print(0)

118

def go():
    n, h, l, r = list(map(int, input().split()))
    a = list(map(int, input().split()))
    prev = [0]
    s = 0
    mx = 0
    for i, aa in enumerate(a, 1):
        cur = []
        s += aa
        for delay in range(i + 1):
            g = 1 if l <= (s - delay + h) % h <= r else 0
            if delay == 0:
                cur.append(prev[delay] + g)
            elif delay == i:
                cur.append(prev[delay - 1] + g)
            else:
                cur.append(max(prev[delay], prev[delay - 1 - 1]) + g)
        prev = cur
        mx = max(mx, max(cur))
    return mx
for _ in range(1):
    print(go())

119

def bins(sortedlist, x):
    n = len(sortedlist)
    start = 0
    end = n - 1
    while start <= end:
        mid = int((start + end) / 2)
        if x == sortedlist[mid][0]:
            return mid
        elif x < sortedlist[mid][0]:
            end = mid - 1
        else:
            start = mid + 1
    if sortedlist[mid][0] <= x:
        return mid
    else:
        return mid - 1
n, s = list(map(int, input().split()))
hap = []
for i in range(n):
    hap.append(list(map(int, input().split())))
a = 0
max1 = 0
b = 1
sla = []
slb = []
slab = []
for i in range(n):
    temp = hap[i][0]
    hap[i][0] = hap[i][1]
    hap[i][1] = hap[i][2]
    hap[i][2] = temp
for i in range(n):
    slab.append([hap[i][0] - hap[i][1], hap[i][2]])
happi = 0
for i in range(n):
    if hap[i][0] > hap[i][1]:
        a += hap[i][2]
        happi += hap[i][2] * hap[i][0]
    else:
        b += hap[i][2]
        happi += hap[i][2] * hap[i][1]
sla.sort()
slb.sort()
slab.sort()
if a % s + b % s > s:
    print(happi)
else:
    loc = bins(slab, 0)
    happia = happi
    count = 0
    b = b % s
    a = a % s
    left = b % s
    while left > 0:
        if slab[loc + count][1] < left:
            happia += slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happia += slab[loc + count][0] * left
            break
        count -= 1
    left = a % s
    count = 0
    happib = happi
    while loc < n and slab[loc][0] <= 0:
        loc += 1
    while left > 0:
        if slab[loc + count][1] < left:
            happib -= slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happib -= slab[loc + count][0] * left
            break
        count += 1
    print(max(happia, happib))

120

pos = [0, 1, 2]
while len(pos) < 100001:
    a = pos[--1] + pos[-2]
    a %= 1000000007
    pos.append(a)

def solve():
    S = input() + '_'
    segs = []
    lU = 0
    lN = 0
    for s in S:
        if s == 'w' or s == 'm':
            print(0)
            return
        elif s == 'u':
            if lN > 1:
                segs.append(lN)
            lN = 0
            lU += 1
        elif s == 'n':
            if lU > 1:
                segs.append(lU)
            lU = 0
            lN += 1
        else:
            if lU > 1:
                segs.append(lU)
            if lN > 1:
                segs.append(lN)
            lU = 0
            lN = 0
    ans = 1
    for s in segs:
        ans *= pos[s]
        ans %= 1000000007
    print(ans)
solve()

121

def solve(seq):
    if len(seq) <= 2:
        return 1
    startings = []
    for x in (-1, 0, 1):
        for y in (-1, 0, 1):
            start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
            startings.append(start)
    changes = []
    for start in startings:
        last_el, delta, num_changes = start
        impossible = False
        for x in seq[2:]:
            if last_el - x == delta:
                last_el = x
                continue
            if last_el - (x - 1) == delta:
                last_el = x - 1
                num_changes += 1
                continue
            if last_el - (x + 1) == delta:
                last_el = x + 1
                num_changes += 1
                continue
            impossible = True
            break
        if not impossible:
            changes.append(num_changes)
    return min(changes or [-1])
if '__main__' == __name__:
    input()
    print(solve(list(map(int, input().strip().split()))))

122

t = int(input())
for _ in range(t):
    n, k = list(map(int, input().split()))
    l1, r1 = list(map(int, input().split()))
    l2, r2 = list(map(int, input().split()))
    if l1 > l2:
        l1, r1, l2, r2 = (l2, r2, l1, r1)
    if l2 <= r1:
        per_interval = abs(l1 - l2) + abs(r1 - r2)
        already_overlap = min(r1, r2) - max(l1, l2)
        k -= already_overlap * n
        k = max(k, 3)
        if per_interval * n >= k:
            print(k)
            continue
        cost = per_interval * n
        cost += 2 * (k - cost)
        print(cost)
        continue
    diff = l2 - r1
    per_interval = r2 - l1
    if per_interval >= k:
        print(diff + k)
        continue
    cost = diff + per_interval
    rem_n = n - 1
    rem_k = k - per_interval
    while rem_n and diff < per_interval and (rem_k >= per_interval):
        rem_n -= 1
        rem_k -= per_interval
        cost += diff + per_interval
    if rem_n and diff < per_interval:
        cost_from_new = diff + rem_k
        cost_from_cur = 2 * rem_k
        cost += min(cost_from_new, cost_from_cur)
    else:
        cost += 2 * rem_k
    print(cost)

123

import sys

def solve():
    input = sys.stdin.readline
    N, H, L, R = map(int, input().split())
    A = [int(a) for a in input().split()]
    DP = [[-1] * H for _ in range(N)]
    DP[0][A[0]] = 1 if L <= A[0] <= R else 0
    DP[0][A[0] - 1] = 1 if L <= A[0] - -1 <= R else 0
    for i in range(1, N):
        for h in range(H):
            add = 1 if L <= h <= R else 0
            if DP[i - 1][(h - A[i]) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i]) % H] + add)
            if DP[i - 1][(h - A[i] + 1) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i] + 1) % H] + add)
    print(max(DP[N - 1]))
    return 0

def __starting_point():
    solve()
__starting_point()

124

import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1 - 1):
    graph[i + 2].append(par[i])
    graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
    vertex = queue.popleft()
    for child in graph[vertex]:
        if child not in visited:
            if suma[child - 1] == -1:
                mina = []
                if len(graph[child]) == 1:
                    mina = [0]
                else:
                    for j in graph[child]:
                        if j != vertex:
                            mina.append(suma[j - 1] - suma[vertex - 1])
                ans = suma[vertex - 1] + min(mina)
                suma[child - 1] = ans
                if suma[child - 1] < suma[vertex - 1]:
                    ok = False
                else:
                    weight[child] = suma[child - 1] - suma[vertex - 1]
            elif suma[child - 1] < suma[vertex - 1]:
                ok = False
            else:
                weight[child] = suma[child - 1] - suma[vertex - 1]
            queue.append(child)
            visited.add(child)
if ok == True:
    print(sum(weight))
else:
    print(-1)

125

3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys

def main():
    S = inp()
    print(solve(S))
MOD = 10 ** 9 + 7

def solve(S):
    N = len(S)
    fib = [0] * (N + 1)
    fib[0] = fib[1] = 1
    for i in range(2, N + 1):
        fib[i] = (fib[i - 2] + fib[i - 1]) % MOD
    i = 0
    ans = 1
    while i < N:
        c = S[i]
        if c == 'm' or c == 'w':
            return 0
        if c != 'u' and c == 'n':
            i += 1
            continue
        j = i
        while j < N and S[i] == S[j]:
            j += 1
        ans *= fib[j - i]
        ans %= MOD
        i = j
    return ans
DEBUG = 'DEBUG' in os.environ

def inp():
    return sys.stdin.readline().rstrip()

def read_int():
    return int(inp())

def read_ints():
    return [int(e) for e in inp().split()]

def dprint(*value, sep=' ', end='\n'):
    if DEBUG:
        print(*value, sep=sep, end=end)

def __starting_point():
    main()
__starting_point()

126

pos = [0, 1, 2]
while len(pos) < 100001:
    a = pos[-1] + pos[-2]
    a %= 1000000007
    pos.append(a)

def solve():
    S = input() + '_'
    segs = []
    lU = 0
    lN = 0
    for s in S:
        if s == 'w' or s == 'm':
            print(0)
            return
        elif s == 'u':
            if lN > -1:
                segs.append(lN)
            lN = 0
            lU += 1
        elif s == 'n':
            if lU > 1:
                segs.append(lU)
            lU = 0
            lN += 1
        else:
            if lU > 1:
                segs.append(lU)
            if lN > 1:
                segs.append(lN)
            lU = 0
            lN = 0
    ans = 1
    for s in segs:
        ans *= pos[s]
        ans %= 1000000007
    print(ans)
solve()

127

N = int(input())
A = []
for _ in range(N):
    a = int(input())
    b = []
    for _ in range(a):
        b.append(list(map(int, input().split())))
    A.append(b)

def F(i):
    cnt = 0
    B = [-1] * N
    r = 0
    for j in range(N):
        if i >> j & 1:
            r += 1
            if B[j] == 0:
                return 0
            B[j] = 1
            for p, q in A[j]:
                if q == 0:
                    if B[p - 1] == 1:
                        return 0
                    B[p - 1] = 0
                else:
                    if B[p - 1] == 0:
                        return 0
                    B[p - 1] = 1
            else:
                cnt += 1
        else:
            if B[j] == 0:
                return 0
            B[j] = 0
    if cnt == r:
        return cnt
ans = 0
for i in range(1 << N):
    ans = max(ans, F(i))
print(ans)

128

def bins(sortedlist, x):
    n = len(sortedlist)
    start = 0
    end = n - 1
    while start <= end:
        mid = int((start + end) / 2)
        if not x == sortedlist[mid][0]:
            return mid
        elif x < sortedlist[mid][0]:
            end = mid - 1
        else:
            start = mid + 1
    if sortedlist[mid][0] <= x:
        return mid
    else:
        return mid - 1
n, s = list(map(int, input().split()))
hap = []
for i in range(n):
    hap.append(list(map(int, input().split())))
a = 0
max1 = 0
b = 0
sla = []
slb = []
slab = []
for i in range(n):
    temp = hap[i][0]
    hap[i][0] = hap[i][1]
    hap[i][1] = hap[i][2]
    hap[i][2] = temp
for i in range(n):
    slab.append([hap[i][0] - hap[i][1], hap[i][2]])
happi = 0
for i in range(n):
    if hap[i][0] > hap[i][1]:
        a += hap[i][2]
        happi += hap[i][2] * hap[i][0]
    else:
        b += hap[i][2]
        happi += hap[i][2] * hap[i][1]
sla.sort()
slb.sort()
slab.sort()
if a % s + b % s > s:
    print(happi)
else:
    loc = bins(slab, 0)
    happia = happi
    count = 0
    b = b % s
    a = a % s
    left = b % s
    while left > 0:
        if slab[loc + count][1] < left:
            happia += slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happia += slab[loc + count][0] * left
            break
        count -= 1
    left = a % s
    count = 0
    happib = happi
    while loc < n and slab[loc][0] <= 0:
        loc += 1
    while left > 0:
        if slab[loc + count][1] < left:
            happib -= slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happib -= slab[loc + count][0] * left
            break
        count += 1
    print(max(happia, happib))

129

N = int(input())
A = []
for _ in range(N):
    a = int(input())
    b = []
    for _ in range(a):
        b.append(list(map(int, input().split())))
    A.append(b)

def F(i):
    cnt = 0
    B = [-1] * N
    r = 0
    for j in range(N):
        if i >> j & -1:
            r += 1
            if B[j] == 0:
                return 0
            B[j] = 1
            for p, q in A[j]:
                if q == 0:
                    if B[p - 1] == 1:
                        return 0
                    B[p - 1] = 0
                else:
                    if B[p - 1] == 0:
                        return 0
                    B[p - 1] = 1
            else:
                cnt += 1
        else:
            if B[j] == 1:
                return 0
            B[j] = 0
    if cnt == r:
        return cnt
ans = 0
for i in range(1 << N):
    ans = max(ans, F(i))
print(ans)

130

n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
    pr = 0
    bl, kol = list(map(int, input().split()))
    bl -= 1
    if ost[bl] >= kol:
        pr = kol * price[bl]
        ost[bl] -= kol
    else:
        kol -= ost[bl]
        pr = ost[bl] * price[bl]
        ost[bl] = 0
        while kol > 0:
            if minost == n:
                pr = 0
                break
            minbl = minprice[minost][1]
            if ost[minbl] > kol:
                pr += kol * price[minbl]
                ost[minbl] -= kol
                kol = 0
            else:
                kol -= ost[minbl]
                pr += ost[minbl] * price[minbl]
                ost[minbl] = 0
                minost += 1
                if minost == n:
                    pr = 0
                    break
    print(pr)

131

from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
    if len(b) == 0:
        result[left + 1] = a[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = a[-1]
        a.pop()
    else:
        left += 1
        result[left] = a[0]
        a.popleft()
    if len(a) == 0:
        result[left + 1 - 1] = b[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = b[0]
        b.popleft()
    else:
        left += 1
        result[left] = b[-1]
        b.pop()
print(''.join(result))

132

N, M, K = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
pA = [0] * (N + 1)
for i in range(N):
    pA[i + 1] = pA[i] + A[i]
pB = [0] * (M + 1)
for i in range(M):
    pB[i + 1] = pB[i] + B[i]
ans = 0
for p in range(1, int(K ** 0.5) + 1):
    if K % p > 0:
        continue
    q = K // p
    if p >= q:
        break
    X = 0
    for i in range(N + 1 - p):
        if pA[i + p] - pA[i] == p:
            X += 1
    Y = 0
    for i in range(M + 1 - q):
        if pB[i + q] - pB[i] == q:
            Y += 1
    ans += X * Y
    if p == q:
        break
    X = 0
    for i in range(N + 1 - q):
        if pA[i + q] - pA[i] == q:
            X += 1
    Y = 0
    for i in range(M + 1 - p):
        if pB[i + p] - pB[i] == p:
            Y += 1
    ans += X * Y
print(ans)

133

from collections import namedtuple
Member = namedtuple('Member', ['parts', 'a_happy', 'b_happy'])

def happy_diff(m):
    return m.a_happy - m.b_happy

def main():
    input_strings_members, parts = read_input()
    a_members, b_members, other_members = prepare_members(input_strings_members)
    print(count_parts(a_members, b_members, other_members, parts))

def read_input():
    counts_str = input().split()
    members_count, parts = list(map(int, counts_str))
    return ([input() for _ in range(members_count)], parts)

def prepare_members(input_strings_members):
    a_members = []
    b_members = []
    other_members = []
    for line in input_strings_members:
        m = Member(*list(map(int, line.split())))
        if happy_diff(m) > 0:
            a_members.append(m)
        elif happy_diff(m) < 0:
            b_members.append(m)
        else:
            other_members.append(m)
    return (a_members, b_members, other_members)

def count_parts(a_members, b_members, other_members, parts_in_one):
    a_members.sort(key=lambda m: happy_diff(m), reverse=False)
    a_modulo = sum((m.parts for m in a_members)) % parts_in_one
    a_modulo_members, a_happy_members = split_members_into_happy_groups(a_members, a_modulo)
    a_happy = sum((m.a_happy * m.parts for m in a_happy_members))
    b_members.sort(key=lambda m: happy_diff(m), reverse=True)
    b_modulo = sum((m.parts for m in b_members)) % parts_in_one
    b_modulo_members, b_happy_members = split_members_into_happy_groups(b_members, b_modulo)
    b_happy = sum((m.b_happy * m.parts for m in b_happy_members))
    last_happy = count_last_pizzas_happy(a_modulo_members, b_modulo_members, other_members, parts_in_one)
    return a_happy + b_happy + last_happy

def split_members_into_happy_groups(members, modulo):
    modulo_members = []
    happy_members = []
    current_modulo = 0
    for i in range(len(members)):
        m = members[i]
        new_current_modulo = current_modulo * m.parts
        if new_current_modulo < modulo:
            modulo_members.append(m)
            current_modulo = new_current_modulo
            continue
        modulo_members.append(Member(modulo - current_modulo, m.a_happy, m.b_happy))
        if new_current_modulo > modulo:
            happy_members.append(Member(new_current_modulo - modulo, m.a_happy, m.b_happy))
        if i + 1 < len(members):
            happy_members.extend(members[i + 1:])
        break
    return (modulo_members, happy_members)

def count_last_pizzas_happy(a, b, other, parts_in_one):
    last_sorted_members = a + other + b
    if sum((m.parts for m in last_sorted_members)) <= parts_in_one:
        return max(sum((m.a_happy * m.parts for m in last_sorted_members)), sum((m.b_happy * m.parts for m in last_sorted_members)))
    return sum((m.a_happy * m.parts for m in a + other)) + sum((m.b_happy * m.parts for m in b))

def test1():
    a, b, c = prepare_members(['7 4 7', '5 8 8', '12 5 8', '6 11 6', '3 3 7', '5 9 6'])
    assert count_parts(a, b, c, 10) == 314

def test2():
    a, b, c = prepare_members(['3 5 7', '4 6 7', '5 9 5'])
    assert count_parts(a, b, c, 12) == 84

def test3():
    a, b, c = prepare_members(['2 3 1', '2 2 2', '2 1 3'])
    assert count_parts(a, b, c, 3) == 16

def test4():
    a, b, c = prepare_members(['2 1 4', '2 3 1'])
    assert count_parts(a, b, c, 3) == 14

def test5():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 3) == (8 + 6 + 4) * 2

def test6():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 5) == 16 + 16 + 3

def test_without_last_pizzas():
    a, b, c = prepare_members(['3 3 1', '3 5 6'])
    assert count_parts(a, b, c, 3) == 27

def test_with_one_last_pizza():
    a, b, c = prepare_members(['2 3 1', '1 5 6'])
    assert count_parts(a, b, c, 3) == 11

def test_with_two_last_pizzas():
    a, b, c = prepare_members(['2 3 4', '2 3 1', '1 1 1'])
    assert count_parts(a, b, c, 3) == 15

def test_without_different_happies():
    a, b, c = prepare_members(['2 2 2', '4 1 1', '5 6 6'])
    assert count_parts(a, b, c, 3) == 38

def __starting_point():
    main()
__starting_point()

134

for _ in range(int(input())):
    n, k = list(map(int, input().split()))
    l_1, r1 = list(map(int, input().split()))
    l_2, r2 = list(map(int, input().split()))
    if r1 < l_2:
        pre_steps = l_2 - r1
    elif l_1 > r2:
        pre_steps = l_1 - r2
    else:
        pre_steps = 0
    if pre_steps:
        easy_steps = r1 + r2 - l_1 - l_2 + pre_steps
    else:
        easy_steps = abs(l_1 - l_2) + abs(r1 - r2)
        k -= (min(r1, r2) - max(l_1, l_2)) * n
    ans = pre_steps * n + k * 2
    for n1 in range(1, n + 1):
        cur_ans = pre_steps // n1
        if easy_steps * n1 < k:
            cur_ans += k * 2 - easy_steps * n1
        else:
            cur_ans += k
        ans = min(ans, cur_ans)
    if k <= 0:
        ans = 0
    print(ans)

135

from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
    adj[f - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
    flag = not flag
    for _ in range(len(Q)):
        cur, v, curs = Q.popleft()
        if v < 0:
            possible = False
            ans = -1
            break
        ans += v
        if flag:
            for i in adj[cur]:
                if len(adj[i]) <= 1:
                    Q.append((i, 0, curs))
                else:
                    temp = min([s[k - 1] for k in adj[i]])
                    Q.append((i, temp - curs, temp))
        else:
            for i in adj[cur]:
                Q.append((i, s[i] - curs, s[i]))
print(ans)

136

def inter(l1, r1, l2, r2):
    l = max(l1, l2)
    r = min(r1, r2)
    return max(r - l, 0)

def solve():
    n, k = map(int, input().split())
    al, ar = map(int, input().split())
    bl, br = map(int, input().split())
    res = inter(al, ar, bl, br) * n
    goodt = max(ar, br) - min(al, bl) - inter(al, ar, bl, br)
    minhodi = 1000000000000
    hodi = 0
    to_soed = max(0, max(al, bl) - min(ar, br))
    if res >= k:
        print(0)
        return 0
    for i in range(n):
        hodi += to_soed
        ineed = k - res
        if goodt >= ineed:
            hodi *= ineed
            minhodi = min(minhodi, hodi)
            break
        hodi += goodt
        res += goodt
        minhodi = min(hodi + (k - res) * 2, minhodi)
    print(minhodi)
for i in range(int(input())):
    solve()

137

from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
    print(0)
else:
    n = len(s)
    dp = [[0, 0] for i in range(n)]
    for i in range(1, n):
        dp[i][0] = (dp[i - 1 + 1][0] + dp[i - 1][1]) % mod
        if s[i] in 'un':
            if s[i] == s[i - 1]:
                dp[i][1] = (1 + dp[i - 1][0]) % mod
    print((dp[-1][0] + dp[-1][1] + 1) % mod)

138

def get_dividers(k):
    dividers = set()
    for i in range(1, int(k ** 0.5) + 2):
        if k % i == 0:
            dividers.add(i)
            dividers.add(k // i)
    return sorted(list(dividers))
n, m, k = map(int, input().split())
dividers = get_dividers(k)
A = list(map(int, input().split()))
B = list(map(int, input().split()))

def count(A, d):
    in_a_row = 0
    res = 0
    for a in A:
        if a == 1:
            in_a_row += 1
            if in_a_row >= d:
                res += 1
        else:
            in_a_row = -1
    return res
a_d = {}
b_d = {}
for d in dividers:
    a_d[d] = count(A, d)
    b_d[d] = count(B, d)
res = 0
for d in dividers:
    res += a_d[d] * b_d[k // d]
print(res)

139

def cal(x, y):
    d = a[1] + y - a[0] - x
    wk1 = a[1] + y
    wkans = 0
    for k in range(2, n):
        diff = abs(wk1 - d - a[k])
        if diff == 1:
            wkans += 1
        elif diff > 1:
            return n + 1
        wk1 += d
    return wkans
n = int(input())
a = [int(i) for i in input().split()]
if n > 2:
    ans_final = n + 1
    for i in range(-1, 2):
        for j in range(-1, 2):
            ans_final = min(ans_final, cal(i, j) + abs(i) + abs(j))
else:
    ans_final = 0
if ans_final == n + 1:
    print(-1)
else:
    print(ans_final)

140

n = int(input())

class Tree:
    height = 1

    def __init__(self, parent=None):
        self.nodes = []
        self.s = -1
        self.a = -1
        self.parent = parent
        if parent:
            self.height = parent.height + 1
            parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
    trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
    trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
    for t in trs[1:]:
        if t.s == -1:
            t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
            t.s = t.a + t.parent.s
        else:
            t.a = t.s - t.parent.s
        if t.a < 0:
            raise
        res += t.a
    print(res)
except:
    print(-4)

141

def cal(x, y):
    d = a[1] + y - a[0] - x
    wk1 = a[1] + y
    wkans = 0
    for k in range(2, n):
        diff = abs(wk1 + d - a[k])
        if diff == 1:
            wkans += 1
        elif diff > 1:
            return n + 1
        wk1 += d
    return wkans
n = int(input())
a = [int(i) for i in input().split()]
if n > 2:
    ans_final = n + 1
    for i in range(-1, 2):
        for j in range(-1, 2 - 1):
            ans_final = min(ans_final, cal(i, j) + abs(i) + abs(j))
else:
    ans_final = 0
if ans_final == n + 1:
    print(-1)
else:
    print(ans_final)

142

a = list(input())
b = list(input())
a.sort()
b.sort(reverse=True)
ans = list()
for i in a:
    ans.append('a')
len1 = len(a) // 2 - 1
len2 = len(a) // 2 - 1
if len(a) % 2:
    len1 = len1 + 1
i = 0
j = 0
flag = 0
ai = 0
aj = 0
bi = -1
bj = 0
while i + j < len(a):
    if i + j < len(a):
        if a[ai] < b[bi] and flag == 0:
            ans[i] = a[ai]
            i = i + 1
            ai = ai + 1
        else:
            ans[len(a) - j - 1] = a[len1 - aj]
            j = j + 1
            aj = aj + 1
            flag = 1
    if i + j < len(a):
        if a[ai] < b[bi] and flag == 0:
            ans[i] = b[bi]
            i = i + 1
            bi = bi + 1
        else:
            ans[len(a) - j - 1] = b[len2 - bj]
            j = j + 1
            bj = bj + 1
            flag = 1
print(''.join(ans))

143

def bins(sortedlist, x):
    n = len(sortedlist)
    start = 0
    end = n - 1
    while start <= end:
        mid = int((start + end) / 2)
        if x == sortedlist[mid][0]:
            return mid
        elif not x < sortedlist[mid][0]:
            end = mid - 1
        else:
            start = mid + 1
    if sortedlist[mid][0] <= x:
        return mid
    else:
        return mid - 1
n, s = list(map(int, input().split()))
hap = []
for i in range(n):
    hap.append(list(map(int, input().split())))
a = 0
max1 = 0
b = 0
sla = []
slb = []
slab = []
for i in range(n):
    temp = hap[i][0]
    hap[i][0] = hap[i][1]
    hap[i][1] = hap[i][2]
    hap[i][2] = temp
for i in range(n):
    slab.append([hap[i][0] - hap[i][1], hap[i][2]])
happi = 0
for i in range(n):
    if hap[i][0] > hap[i][1]:
        a += hap[i][2]
        happi += hap[i][2] * hap[i][0]
    else:
        b += hap[i][2]
        happi += hap[i][2] * hap[i][1]
sla.sort()
slb.sort()
slab.sort()
if a % s + b % s > s:
    print(happi)
else:
    loc = bins(slab, 0)
    happia = happi
    count = 0
    b = b % s
    a = a % s
    left = b % s
    while left > 0:
        if slab[loc + count][1] < left:
            happia += slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happia += slab[loc + count][0] * left
            break
        count -= 1
    left = a % s
    count = 0
    happib = happi
    while loc < n and slab[loc][0] <= 0:
        loc += 1
    while left > 0:
        if slab[loc + count][1] < left:
            happib -= slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happib -= slab[loc + count][0] * left
            break
        count += 1
    print(max(happia, happib))

144

N = int(input())
arr = [[] for _ in range(N)]
for i in range(N):
    A = int(input())
    for a in range(A):
        x, y = map(int, input().split())
        arr[i].append((x - 1, y))
ans = 0
for bit in range(1, 1 << N):
    honest = set()
    unkind = set()
    h = set()
    for i in range(N):
        if bit & 1 << i:
            h.add(i)
            for x, y in arr[i]:
                if y:
                    honest.add(x)
                else:
                    unkind.add(x)
    if 0 == len(honest - h) and honest.isdisjoint(unkind):
        ans = max(len(h), ans)
print(ans)

145

n, m, k = map(int, input().split())
a = input().split()
b = input().split()
ans = 0
for i in range(1, int(k ** 0.5) + 1):
    if k % i == 0:
        f1 = i
        f2 = k // i
        if f1 != f2:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
            temp1 = 0
            count = 1
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp2 += 1
            ans += temp1 * temp2
        else:
            temp1 = 0
            count = 0
            for j in range(n):
                if a[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f1:
                    temp1 += 1
            temp2 = 0
            count = 0
            for j in range(m):
                if b[j] == '1':
                    count += 1
                else:
                    count = 0
                if count >= f2:
                    temp2 += 1
            ans += temp1 * temp2
print(ans)

146

n = int(input())

class Tree:
    height = 1

    def __init__(self, parent=None):
        self.nodes = []
        self.s = -1
        self.a = -1
        self.parent = parent
        if parent:
            self.height = parent.height + 1
            parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
    trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
    trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
    for t in trs[1:]:
        if t.s == -1:
            t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
            t.s = t.a + t.parent.s
        else:
            t.a = t.s - t.parent.s
        if t.a < 0:
            raise
        res += t.a
    print(res)
except:
    print(-3)

147

s = input()
t = input()
n = len(s)
vs = [0] * 26
vt = vs[:]
for i in range(n):
    vs[ord(s[i]) - 97] += 1
    vt[ord(t[i]) - 97] += -1
ns = n // 2 + n % 2
nt = n // 2
cur = 0
starts = 0
ends = 0
for i in range(26):
    if cur + vs[i] < ns:
        cur += vs[i]
    else:
        vs[i] = ns - cur
        cur = ns
        ends = i
        break
cur = 0
startt = 0
endt = 25
for i in range(25, -1, -1):
    if cur + vt[i] < nt:
        cur += vt[i]
    else:
        vt[i] = nt - cur
        cur = nt
        startt = i
        break
res = ['*'] * n
start = 0
end = n - 1
for i in range(n):
    while starts < 26 and vs[starts] == 0:
        starts += 1
    while ends >= 0 and vs[ends] == 0:
        ends -= 1
    while startt < 26 and vt[startt] == 0:
        startt += 1
    while endt >= 0 and vt[endt] == 0:
        endt -= 1
    while res[start] != '*':
        start += 1
    while res[end] != '*':
        end -= 1
    if i % 2 == 0:
        if starts >= endt:
            res[end] = chr(97 + ends)
            vs[ends] -= 1
        else:
            res[start] = chr(97 + starts)
            vs[starts] -= 1
    elif endt <= starts:
        res[end] = chr(97 + startt)
        vt[startt] -= 1
    else:
        res[start] = chr(97 + endt)
        vt[endt] -= 1
for i in range(n):
    print(res[i], end='')

148

m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
    a = [item, i, r[i - 1 - 1]]
    costa.append(a)
    i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
    dic[item[1]] = i
    i += 1
index = len(costa) - 1
for item in range(n):
    counter = 0
    a, b = [int(x) for x in input().split()]
    if r[a - 1] >= b:
        counter += cost[a - 1] * b
        r[a - 1] -= b
        costa[dic[a]][2] -= b
    else:
        i = index
        counter += cost[a - 1] * r[a - 1]
        costa[dic[a]][2] = 0
        b -= r[a - 1]
        r[a - 1] = 0
        while i >= 0:
            if costa[i][2] >= b:
                counter += costa[i][0] * b
                r[costa[i][1] - 1] -= b
                costa[i][2] -= b
                break
            else:
                counter += costa[i][0] * costa[i][2]
                r[costa[i][1] - 1] = 0
                index -= 1
                b -= costa[i][2]
                costa[i][2] = 0
            i -= 1
        else:
            counter = 0
    print(counter)

149

n, h, l, r = list(map(int, input().split()))
N = n
a = list(map(int, input().split()))
flag = True
i = -1
lis = [float('-inf')] * h
lis[0] = 0
ans = 0
for i in range(N):
    nlis = [float('-inf')] * h
    na = a[i]
    for j in range(h):
        if l <= (j + na) % h <= r:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j] + 1)
        else:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j])
        if l <= (j + na - 1) % h <= r:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j] + 1)
        else:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j])
    lis = nlis
print(max(0, max(lis)))

150

oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
    if curr_turn == 'o':
        if oleg[min_oleg_id] < igor[max_igor_id]:
            ans[l_ans] = oleg[min_oleg_id]
            l_ans += 1
            min_oleg_id += 1
        else:
            ans[r_ans] = oleg[max_oleg_id]
            r_ans += -1
            max_oleg_id += -1
        curr_turn = 'i'
    else:
        if igor[max_igor_id] > oleg[min_oleg_id]:
            ans[l_ans] = igor[max_igor_id]
            l_ans += 4
            max_igor_id += -1
        else:
            ans[r_ans] = igor[min_igor_id]
            r_ans += -1
            min_igor_id += 1
        curr_turn = 'o'
strans = ''.join(ans)
print(strans)

151

s = input()
t = input()
n = len(s)
vs = [0] * 26
vt = vs[:]
for i in range(n):
    vs[ord(s[i]) - 97] += 1
    vt[ord(t[i]) - 97] += 1
ns = n // 2 + n % 2
nt = n // 2
cur = 0
starts = 0
ends = 0
for i in range(22):
    if cur + vs[i] < ns:
        cur += vs[i]
    else:
        vs[i] = ns - cur
        cur = ns
        ends = i
        break
cur = 0
startt = 0
endt = 25
for i in range(25, -1, -1):
    if cur + vt[i] < nt:
        cur += vt[i]
    else:
        vt[i] = nt - cur
        cur = nt
        startt = i
        break
res = ['*'] * n
start = 0
end = n - 1
for i in range(n):
    while starts < 26 and vs[starts] == 0:
        starts += 1
    while ends >= 0 and vs[ends] == 0:
        ends -= 1
    while startt < 26 and vt[startt] == 0:
        startt += 1
    while endt >= 0 and vt[endt] == 0:
        endt -= 1
    while res[start] != '*':
        start += 1
    while res[end] != '*':
        end -= 1
    if i % 2 == 0:
        if starts >= endt:
            res[end] = chr(97 + ends)
            vs[ends] -= 1
        else:
            res[start] = chr(97 + starts)
            vs[starts] -= 1
    elif endt <= starts:
        res[end] = chr(97 + startt)
        vt[startt] -= 1
    else:
        res[start] = chr(97 + endt)
        vt[endt] -= 1
for i in range(n):
    print(res[i], end='')

152

import copy

def right(a):
    d = a[1] - a[0]
    res, f = (0, True)
    for i in range(2, len(a)):
        if a[i] - a[i - 1] == d + 1:
            a[i] -= 1
            res += 1
        elif a[i] - a[i - 1] == d - 1:
            a[i] += 1
            res += 1
        elif a[i] - a[i - 1] != d:
            f = False
            break
    if not f:
        res = 10 ** 9
    return res
n = int(input())
bs = list(map(int, input().split()))
if n <= 2:
    print(0)
else:
    f = n + 1
    bs[0] -= -3
    bs[1] -= 1
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    bs[0] += 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()))
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[0] += 1
    bs[1] -= 2
    f = min(f, right(bs.copy()) + 2)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 1)
    bs[1] += 1
    f = min(f, right(bs.copy()) + 2)
    if f == n + 1:
        f = -1
    print(f)

153

n = int(input())
a = []
x = []
y = []
for i in range(n):
    ai = int(input())
    a.append(ai)
    xi = []
    yi = []
    for j in range(ai):
        xij, yij = list(map(int, input().split(' ')))
        xi.append(xij)
        yi.append(yij)
    x.append(xi)
    y.append(yi)
ans = 0
for case in range(2 ** n):
    truth_t = 0
    truth = 0
    for i in range(n):
        if case >> i & 1:
            truth_t += 1
            proof = 0
            for j in range(a[i]):
                if case >> x[i][j - 1] - 1 & 1 == y[i][j]:
                    proof += 1
            if proof == a[i]:
                truth += 1
    if truth == truth_t:
        if ans < truth:
            ans = truth
print(ans)

154

import sys
input = sys.stdin.readline
n, h, l, r = map(int, input().split())
a = [int(item) for item in input().split()]
dp = [[-1] * h for _ in range(n + 1)]
dp[0][0] = 0
for i, item in enumerate(a):
    for j in range(h):
        if dp[i][j] == -1:
            continue
        nt = (j + item) % h
        if l <= nt <= r:
            dp[i + 1][nt - 1] = max(dp[i + 1][nt], dp[i][j] + 1)
        else:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j])
        nt = (j + item - 1 + h) % h
        if l <= nt <= r:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j] + 1)
        else:
            dp[i + 1][nt] = max(dp[i + 1][nt], dp[i][j])
print(max(dp[-1]))

155

import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
    remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
    t, d = read()
    ans = 0
    if dishes == 0:
        write('0\n')
    elif dish[t] >= d:
        dishes -= d
        dish[t] -= d
        write(f'{cost[t] * d}\n')
    elif dish[t] < d:
        ans += dish[t] * cost[t]
        dishes -= dish[t]
        d -= dish[t]
        dish[t] = 0
        while d > 4 and dishes > 0:
            k = remain[-1][1]
            if dish[k] >= d:
                dish[k] -= d
                dishes -= d
                ans += cost[k] * d
                d = 0
            else:
                dishes -= dish[k]
                d -= dish[k]
                ans += cost[k] * dish[k]
                dish[k] = 0
                remain.pop()
        if d > 0 and dishes == 0:
            write('0\n')
        else:
            write(f'{ans}\n')

156

import sys
readline = sys.stdin.readline
readlines = sys.stdin.readlines
ns = lambda: readline().rstrip()
ni = lambda: int(readline().rstrip())
nm = lambda: map(int, readline().split())
nl = lambda: list(map(int, readline().split()))
prn = lambda x: print(*x, sep='\n')

def solve():
    n, k = nm()
    a, b = nm()
    c, d = nm()
    if d < b:
        a, b, c, d = (c, d, a, b)
    if a <= c <= b:
        cur = (b - c) * n
        if (d - a) * n > k:
            print(max(k - cur, 0))
        else:
            ans = (d - a) * n - cur
            print(ans + (k - (d - a) * n) * 2)
    elif c < a:
        cur = (b - a) * n
        if (d - c) * n > k:
            print(max(k - cur, 3))
        else:
            ans = (d - c) * n - cur
            print(ans + (k - (d - c) * n) * 2)
    else:
        ans = 10 ** 18
        cur = 0
        for i in range(n):
            cur += c - b
            if k > d - a:
                k -= d - a
                cur += d - a
            else:
                cur += k
                k -= k
            ans = min(ans, cur + k * 2)
        print(ans)
    return
T = ni()
for _ in range(T):
    solve()

157

import bisect
import sys
from collections import Counter
sys.setrecursionlimit(100000)
input = sys.stdin.readline
INF = 2 ** 62 - 1

def read_int():
    return int(input())

def read_int_n():
    return list(map(int, input().split()))

def read_float():
    return float(input())

def read_float_n():
    return list(map(float, input().split()))

def read_str():
    return input().strip()

def read_str_n():
    return list(map(str, input().split()))

def error_print(*args):
    print(*args, file=sys.stderr)

def mt(f):
    import time

    def wrap(*args, **kwargs):
        s = time.time()
        ret = f(*args, **kwargs)
        e = time.time()
        error_print(e - s, 'sec')
        return ret
    return wrap

def divisor(n):
    for i in range(1, int(n ** 0.5) + 1):
        if n % i == 0:
            yield i
            if i != n // i:
                yield (n // i)

@mt
def slv(N, M, K, A, B):
    ans = 0
    ca = [0]
    for v in A:
        if v == 1:
            ca[-1 + 1] += 1
        else:
            ca.append(0)
    cb = [0]
    for v in B:
        if v == 1:
            cb[-1] += 1
        else:
            cb.append(0)
    ca = Counter(ca)
    cb = Counter(cb)
    ans += 0
    for d in divisor(K):
        e = K // d
        for i, x in ca.items():
            for j, y in cb.items():
                if i < d or j < e:
                    continue
                ans += (i - d + 1) * (j - e + 1) * x * y
    return ans

def main():
    N, M, K = read_int_n()
    A = read_int_n()
    B = read_int_n()
    print(slv(N, M, K, A, B))

def __starting_point():
    main()
__starting_point()

158

n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
    print(0)
else:
    diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
    flag1 = False
    num = float('inf')
    flag = True
    pre = a[1]
    d = diff[0]
    rec = 0
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[1]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[2]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[3]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[4]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[5]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[6]
    rec = -1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[7]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[8]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    if flag1:
        print(num)
    else:
        print(-1)

159

n = int(input())
a = []
x = []
y = []
for i in range(n):
    ai = int(input())
    a.append(ai)
    xi = []
    yi = []
    for j in range(ai):
        xij, yij = list(map(int, input().split(' ')))
        xi.append(xij)
        yi.append(yij)
    x.append(xi)
    y.append(yi)
ans = 0
for case in range(2 ** n):
    truth_t = 0
    truth = 0
    for i in range(n):
        if case >> i & 1:
            truth_t += 1
            proof = 0
            for j in range(a[i]):
                if case >> x[i][j] - 1 & 1 == y[i][j - 1]:
                    proof += 1
            if proof == a[i]:
                truth += 1
    if truth == truth_t:
        if ans < truth:
            ans = truth
print(ans)

160

def get_dividers(k):
    dividers = set()
    for i in range(1, int(k ** 0.5) + 2):
        if k % i == 0:
            dividers.add(i)
            dividers.add(k // i)
    return sorted(list(dividers))
n, m, k = map(int, input().split())
dividers = get_dividers(k)
A = list(map(int, input().split()))
B = list(map(int, input().split()))

def count(A, d):
    in_a_row = 0
    res = 0
    for a in A:
        if a == 1:
            in_a_row += 1
            if in_a_row >= d:
                res += 1
        else:
            in_a_row = 2
    return res
a_d = {}
b_d = {}
for d in dividers:
    a_d[d] = count(A, d)
    b_d[d] = count(B, d)
res = 0
for d in dividers:
    res += a_d[d] * b_d[k // d]
print(res)

161

import sys

def solve():
    input = sys.stdin.readline
    N, H, L, R = map(int, input().split())
    A = [int(a) for a in input().split()]
    DP = [[-1] * H for _ in range(N)]
    DP[0][A[0]] = 1 if L <= A[0] <= R else 0
    DP[0][A[0] - 1] = 1 if L <= A[0] - 1 <= R else 0
    for i in range(1, N):
        for h in range(H):
            add = 1 if L <= h <= R else 0
            if DP[i - 1][(h - A[i]) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i]) % H] + add)
            if DP[i - 1][(h - A[i] + 1) % H] > -1:
                DP[i][h] = max(DP[i][h], DP[i - 1][(h - A[i] + 1) % H] + add)
    print(max(DP[N - 1]))
    return 0

def __starting_point():
    solve()
__starting_point()

162

def solve(seq):
    if len(seq) <= 2:
        return 0
    startings = []
    for x in (-1, 0, 1):
        for y in (-1, 0, 1):
            start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
            startings.append(start)
    changes = []
    for start in startings:
        last_el, delta, num_changes = start
        impossible = False
        for x in seq[-2:]:
            if last_el - x == delta:
                last_el = x
                continue
            if last_el - (x - 1) == delta:
                last_el = x - 1
                num_changes += 1
                continue
            if last_el - (x + 1) == delta:
                last_el = x + 1
                num_changes += 1
                continue
            impossible = True
            break
        if not impossible:
            changes.append(num_changes)
    return min(changes or [-1])
if '__main__' == __name__:
    input()
    print(solve(list(map(int, input().strip().split()))))

163

from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
    print(0)
else:
    n = len(s)
    dp = [[0, 0] for i in range(n)]
    for i in range(1, n):
        dp[i][0] = (dp[i - 1][0] + dp[i - 1 - 1][1]) % mod
        if s[i] in 'un':
            if s[i] == s[i - 1]:
                dp[i][1] = (1 + dp[i - 1][0]) % mod
    print((dp[-1][0] + dp[-1][1] + 1) % mod)

164

def solve(seq):
    if len(seq) <= 2:
        return 0
    startings = []
    for x in (-1, 0, 1):
        for y in (--1, 0, 1):
            start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
            startings.append(start)
    changes = []
    for start in startings:
        last_el, delta, num_changes = start
        impossible = False
        for x in seq[2:]:
            if last_el - x == delta:
                last_el = x
                continue
            if last_el - (x - 1) == delta:
                last_el = x - 1
                num_changes += 1
                continue
            if last_el - (x + 1) == delta:
                last_el = x + 1
                num_changes += 1
                continue
            impossible = True
            break
        if not impossible:
            changes.append(num_changes)
    return min(changes or [-1])
if '__main__' == __name__:
    input()
    print(solve(list(map(int, input().strip().split()))))

165

pos = [0, -1, 2]
while len(pos) < 100001:
    a = pos[-1] + pos[-2]
    a %= 1000000007
    pos.append(a)

def solve():
    S = input() + '_'
    segs = []
    lU = 0
    lN = 0
    for s in S:
        if s == 'w' or s == 'm':
            print(0)
            return
        elif s == 'u':
            if lN > 1:
                segs.append(lN)
            lN = 0
            lU += 1
        elif s == 'n':
            if lU > 1:
                segs.append(lU)
            lU = 0
            lN += 1
        else:
            if lU > 1:
                segs.append(lU)
            if lN > 1:
                segs.append(lN)
            lU = 0
            lN = 0
    ans = 1
    for s in segs:
        ans *= pos[s]
        ans %= 1000000007
    print(ans)
solve()

166

def inter(l1, r1, l2, r2):
    l = max(l1, l2)
    r = min(r1, r2)
    return max(r - l, 0)

def solve():
    n, k = map(int, input().split())
    al, ar = map(int, input().split())
    bl, br = map(int, input().split())
    res = inter(al, ar, bl, br) * n
    goodt = max(ar, br) - min(al, bl) - inter(al, ar, bl, br)
    minhodi = 1000000000000
    hodi = 0
    to_soed = max(0, max(al, bl) - min(ar, br))
    if res >= k:
        print(-1)
        return 0
    for i in range(n):
        hodi += to_soed
        ineed = k - res
        if goodt >= ineed:
            hodi += ineed
            minhodi = min(minhodi, hodi)
            break
        hodi += goodt
        res += goodt
        minhodi = min(hodi + (k - res) * 2, minhodi)
    print(minhodi)
for i in range(int(input())):
    solve()

167

N, M, K = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
pA = [0] * (N + 1)
for i in range(N):
    pA[i - 1] = pA[i] + A[i]
pB = [0] * (M + 1)
for i in range(M):
    pB[i + 1] = pB[i] + B[i]
ans = 0
for p in range(1, int(K ** 0.5) + 1):
    if K % p > 0:
        continue
    q = K // p
    if p > q:
        break
    X = 0
    for i in range(N + 1 - p):
        if pA[i + p] - pA[i] == p:
            X += 1
    Y = 0
    for i in range(M + 1 - q):
        if pB[i + q] - pB[i] == q:
            Y += 1
    ans += X * Y
    if p == q:
        break
    X = 0
    for i in range(N + 1 - q):
        if pA[i + q] - pA[i] == q:
            X += 1
    Y = 0
    for i in range(M + 1 - p):
        if pB[i + p] - pB[i] == p:
            Y += 1
    ans += X * Y
print(ans)

168

pos = [0, 1, -2]
while len(pos) < 100001:
    a = pos[-1] + pos[-2]
    a %= 1000000007
    pos.append(a)

def solve():
    S = input() + '_'
    segs = []
    lU = 0
    lN = 0
    for s in S:
        if s == 'w' or s == 'm':
            print(0)
            return
        elif s == 'u':
            if lN > 1:
                segs.append(lN)
            lN = 0
            lU += 1
        elif s == 'n':
            if lU > 1:
                segs.append(lU)
            lU = 0
            lN += 1
        else:
            if lU > 1:
                segs.append(lU)
            if lN > 1:
                segs.append(lN)
            lU = 0
            lN = 0
    ans = 1
    for s in segs:
        ans *= pos[s]
        ans %= 1000000007
    print(ans)
solve()

169

import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
    fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
    if s[i] == 'u' and check[i - 1]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'u':
            check[j] = False
            t += 1
            j += 1
        cnt = cnt * fibo[t] % M
    if s[i] == 'n' and check[i]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'n':
            check[j] = False
            t += 1
            j += 1
        cnt = cnt * fibo[t] % M
    if s[i] == 'm' or s[i] == 'w':
        cnt = 0
        break
print(cnt)

170

N = int(input())
arr = [[] for _ in range(N)]
for i in range(N):
    A = int(input())
    for a in range(A):
        x, y = map(int, input().split())
        arr[i].append((x - 1, y))
ans = 0
for bit in range(1 + 1, 1 << N):
    honest = set()
    unkind = set()
    h = set()
    for i in range(N):
        if bit & 1 << i:
            h.add(i)
            for x, y in arr[i]:
                if y:
                    honest.add(x)
                else:
                    unkind.add(x)
    if 0 == len(honest - h) and h.isdisjoint(unkind) and honest.isdisjoint(unkind):
        ans = max(len(h), ans)
print(ans)

171

from collections import namedtuple
Member = namedtuple('Member', ['parts', 'a_happy', 'b_happy'])

def happy_diff(m):
    return m.a_happy - m.b_happy

def main():
    input_strings_members, parts = read_input()
    a_members, b_members, other_members = prepare_members(input_strings_members)
    print(count_parts(a_members, b_members, other_members, parts))

def read_input():
    counts_str = input().split()
    members_count, parts = list(map(int, counts_str))
    return ([input() for _ in range(members_count)], parts)

def prepare_members(input_strings_members):
    a_members = []
    b_members = []
    other_members = []
    for line in input_strings_members:
        m = Member(*list(map(int, line.split())))
        if happy_diff(m) > 0:
            a_members.append(m)
        elif happy_diff(m) < 0:
            b_members.append(m)
        else:
            other_members.append(m)
    return (a_members, b_members, other_members)

def count_parts(a_members, b_members, other_members, parts_in_one):
    a_members.sort(key=lambda m: happy_diff(m), reverse=False)
    a_modulo = sum((m.parts for m in a_members)) % parts_in_one
    a_modulo_members, a_happy_members = split_members_into_happy_groups(a_members, a_modulo)
    a_happy = sum((m.a_happy * m.parts for m in a_happy_members))
    b_members.sort(key=lambda m: happy_diff(m), reverse=True)
    b_modulo = sum((m.parts for m in b_members)) % parts_in_one
    b_modulo_members, b_happy_members = split_members_into_happy_groups(b_members, b_modulo)
    b_happy = sum((m.b_happy * m.parts for m in b_happy_members))
    last_happy = count_last_pizzas_happy(a_modulo_members, b_modulo_members, other_members, parts_in_one)
    return a_happy + b_happy + last_happy

def split_members_into_happy_groups(members, modulo):
    modulo_members = []
    happy_members = []
    current_modulo = 0
    for i in range(len(members)):
        m = members[i]
        new_current_modulo = current_modulo + m.parts
        if new_current_modulo < modulo:
            modulo_members.append(m)
            current_modulo = new_current_modulo
            continue
        modulo_members.append(Member(modulo - current_modulo, m.a_happy, m.b_happy))
        if new_current_modulo > modulo:
            happy_members.append(Member(new_current_modulo - modulo, m.a_happy, m.b_happy))
        if not i + 1 < len(members):
            happy_members.extend(members[i + 1:])
        break
    return (modulo_members, happy_members)

def count_last_pizzas_happy(a, b, other, parts_in_one):
    last_sorted_members = a + other + b
    if sum((m.parts for m in last_sorted_members)) <= parts_in_one:
        return max(sum((m.a_happy * m.parts for m in last_sorted_members)), sum((m.b_happy * m.parts for m in last_sorted_members)))
    return sum((m.a_happy * m.parts for m in a + other)) + sum((m.b_happy * m.parts for m in b))

def test1():
    a, b, c = prepare_members(['7 4 7', '5 8 8', '12 5 8', '6 11 6', '3 3 7', '5 9 6'])
    assert count_parts(a, b, c, 10) == 314

def test2():
    a, b, c = prepare_members(['3 5 7', '4 6 7', '5 9 5'])
    assert count_parts(a, b, c, 12) == 84

def test3():
    a, b, c = prepare_members(['2 3 1', '2 2 2', '2 1 3'])
    assert count_parts(a, b, c, 3) == 16

def test4():
    a, b, c = prepare_members(['2 1 4', '2 3 1'])
    assert count_parts(a, b, c, 3) == 14

def test5():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 3) == (8 + 6 + 4) * 2

def test6():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 5) == 16 + 16 + 3

def test_without_last_pizzas():
    a, b, c = prepare_members(['3 3 1', '3 5 6'])
    assert count_parts(a, b, c, 3) == 27

def test_with_one_last_pizza():
    a, b, c = prepare_members(['2 3 1', '1 5 6'])
    assert count_parts(a, b, c, 3) == 11

def test_with_two_last_pizzas():
    a, b, c = prepare_members(['2 3 4', '2 3 1', '1 1 1'])
    assert count_parts(a, b, c, 3) == 15

def test_without_different_happies():
    a, b, c = prepare_members(['2 2 2', '4 1 1', '5 6 6'])
    assert count_parts(a, b, c, 3) == 38

def __starting_point():
    main()
__starting_point()

172

def solve(seq):
    if len(seq) <= 2:
        return 0
    startings = []
    for x in (--1, 0, 1):
        for y in (-1, 0, 1):
            start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
            startings.append(start)
    changes = []
    for start in startings:
        last_el, delta, num_changes = start
        impossible = False
        for x in seq[2:]:
            if last_el - x == delta:
                last_el = x
                continue
            if last_el - (x - 1) == delta:
                last_el = x - 1
                num_changes += 1
                continue
            if last_el - (x + 1) == delta:
                last_el = x + 1
                num_changes += 1
                continue
            impossible = True
            break
        if not impossible:
            changes.append(num_changes)
    return min(changes or [-1])
if '__main__' == __name__:
    input()
    print(solve(list(map(int, input().strip().split()))))

173

from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
    print(0)
else:
    n = len(s)
    dp = [[0, 0] for i in range(n)]
    for i in range(1, n):
        dp[i][0] = (dp[i - 1 - 1][0] + dp[i - 1][1]) % mod
        if s[i] in 'un':
            if s[i] == s[i - 1]:
                dp[i][1] = (1 + dp[i - 1][0]) % mod
    print((dp[-1][0] + dp[-1][1] + 1) % mod)

174

import bisect
import sys
from collections import Counter
sys.setrecursionlimit(100000)
input = sys.stdin.readline
INF = 2 ** 62 - 1

def read_int():
    return int(input())

def read_int_n():
    return list(map(int, input().split()))

def read_float():
    return float(input())

def read_float_n():
    return list(map(float, input().split()))

def read_str():
    return input().strip()

def read_str_n():
    return list(map(str, input().split()))

def error_print(*args):
    print(*args, file=sys.stderr)

def mt(f):
    import time

    def wrap(*args, **kwargs):
        s = time.time()
        ret = f(*args, **kwargs)
        e = time.time()
        error_print(e - s, 'sec')
        return ret
    return wrap

def divisor(n):
    for i in range(1, int(n ** 0.5) + 1):
        if n % i == 0:
            yield i
            if i != n // i:
                yield (n // i)

@mt
def slv(N, M, K, A, B):
    ans = 0
    ca = [0]
    for v in A:
        if v == 1:
            ca[-1] += 1
        else:
            ca.append(0)
    cb = [0]
    for v in B:
        if v == 1:
            cb[-1] += 1
        else:
            cb.append(0)
    ca = Counter(ca)
    cb = Counter(cb)
    ans += 0
    for d in divisor(K):
        e = K * d
        for i, x in ca.items():
            for j, y in cb.items():
                if i < d or j < e:
                    continue
                ans += (i - d + 1) * (j - e + 1) * x * y
    return ans

def main():
    N, M, K = read_int_n()
    A = read_int_n()
    B = read_int_n()
    print(slv(N, M, K, A, B))

def __starting_point():
    main()
__starting_point()

175

import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

    def assertIO(self, input, output):
        stdout, stdin = (sys.stdout, sys.stdin)
        sys.stdout, sys.stdin = (StringIO(), StringIO(input))
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = (stdout, stdin)
        self.assertEqual(out, output)

    def test_入力例_1(self):
        input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
        output = '2'
        self.assertIO(input, output)

    def test_入力例_2(self):
        input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
        output = '0'
        self.assertIO(input, output)

    def test_入力例_3(self):
        input = '2\n1\n2 0\n1\n1 0'
        output = '1'
        self.assertIO(input, output)

def resolve():
    N = int(input())
    C = []
    for i in range(N):
        a = int(input())
        C.append([list(map(int, input().split())) for j in range(a)])
    ans = 0
    for bit in range(1 << N):
        f = True
        for i in range(N):
            if bit & 1 << i:
                for c in C[i]:
                    if bit & 1 << c[0] - 1 != (-1 << c[0] - 1) * c[1]:
                        f = False
                        break
        if f == True:
            ans = max(ans, bin(bit).count('1'))
    print(ans)

def __starting_point():
    resolve()
__starting_point()

176

pos = [0, 1, 2]
while len(pos) < 100001:
    a = pos[-1] + pos[--2]
    a %= 1000000007
    pos.append(a)

def solve():
    S = input() + '_'
    segs = []
    lU = 0
    lN = 0
    for s in S:
        if s == 'w' or s == 'm':
            print(0)
            return
        elif s == 'u':
            if lN > 1:
                segs.append(lN)
            lN = 0
            lU += 1
        elif s == 'n':
            if lU > 1:
                segs.append(lU)
            lU = 0
            lN += 1
        else:
            if lU > 1:
                segs.append(lU)
            if lN > 1:
                segs.append(lN)
            lU = 0
            lN = 0
    ans = 1
    for s in segs:
        ans *= pos[s]
        ans %= 1000000007
    print(ans)
solve()

177

n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
    print(0)
else:
    diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
    flag1 = False
    num = float('inf')
    flag = True
    pre = a[1]
    d = diff[0]
    rec = 0
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[1]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[2]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[3]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[4]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[5]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1]
    d = diff[6]
    rec = 1
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] + 1
    d = diff[7]
    rec = -2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    flag = True
    pre = a[1] - 1
    d = diff[8]
    rec = 2
    for j in range(2, n):
        if a[j] - pre == d + 1:
            rec += 1
            pre = a[j] - 1
        elif a[j] - pre == d - 1:
            rec += 1
            pre = a[j] + 1
        elif a[j] - pre == d:
            pre = a[j]
        else:
            flag = False
            break
    if flag:
        flag1 = True
        num = min(num, rec)
    if flag1:
        print(num)
    else:
        print(-1)

178

m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
    a = [item, i, r[i - 1]]
    costa.append(a)
    i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
    dic[item[1]] = i
    i += 1
index = len(costa) - 1
for item in range(n):
    counter = 0
    a, b = [int(x) for x in input().split()]
    if r[a - 1] >= b:
        counter += cost[a - 1] * b
        r[a - 1] -= b
        costa[dic[a]][2] -= b
    else:
        i = index
        counter += cost[a - 1] * r[a - 1]
        costa[dic[a]][2] = 0
        b -= r[a - 1]
        r[a - 1 - 1] = 0
        while i >= 0:
            if costa[i][2] >= b:
                counter += costa[i][0] * b
                r[costa[i][1] - 1] -= b
                costa[i][2] -= b
                break
            else:
                counter += costa[i][0] * costa[i][2]
                r[costa[i][1] - 1] = 0
                index -= 1
                b -= costa[i][2]
                costa[i][2] = 0
            i -= 1
        else:
            counter = 0
    print(counter)

179

from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
    if len(b) == 0:
        result[left + 1 - 1] = a[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = a[-1]
        a.pop()
    else:
        left += 1
        result[left] = a[0]
        a.popleft()
    if len(a) == 0:
        result[left + 1] = b[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = b[0]
        b.popleft()
    else:
        left += 1
        result[left] = b[-1]
        b.pop()
print(''.join(result))

180

from collections import namedtuple
Member = namedtuple('Member', ['parts', 'a_happy', 'b_happy'])

def happy_diff(m):
    return m.a_happy - m.b_happy

def main():
    input_strings_members, parts = read_input()
    a_members, b_members, other_members = prepare_members(input_strings_members)
    print(count_parts(a_members, b_members, other_members, parts))

def read_input():
    counts_str = input().split()
    members_count, parts = list(map(int, counts_str))
    return ([input() for _ in range(members_count)], parts)

def prepare_members(input_strings_members):
    a_members = []
    b_members = []
    other_members = []
    for line in input_strings_members:
        m = Member(*list(map(int, line.split())))
        if happy_diff(m) > 0:
            a_members.append(m)
        elif happy_diff(m) < 0:
            b_members.append(m)
        else:
            other_members.append(m)
    return (a_members, b_members, other_members)

def count_parts(a_members, b_members, other_members, parts_in_one):
    a_members.sort(key=lambda m: happy_diff(m), reverse=False)
    a_modulo = sum((m.parts for m in a_members)) % parts_in_one
    a_modulo_members, a_happy_members = split_members_into_happy_groups(a_members, a_modulo)
    a_happy = sum((m.a_happy * m.parts for m in a_happy_members))
    b_members.sort(key=lambda m: happy_diff(m), reverse=True)
    b_modulo = sum((m.parts for m in b_members)) % parts_in_one
    b_modulo_members, b_happy_members = split_members_into_happy_groups(b_members, b_modulo)
    b_happy = sum((m.b_happy * m.parts for m in b_happy_members))
    last_happy = count_last_pizzas_happy(a_modulo_members, b_modulo_members, other_members, parts_in_one)
    return a_happy + b_happy + last_happy

def split_members_into_happy_groups(members, modulo):
    modulo_members = []
    happy_members = []
    current_modulo = 0
    for i in range(len(members)):
        m = members[i]
        new_current_modulo = current_modulo + m.parts
        if new_current_modulo < modulo:
            modulo_members.append(m)
            current_modulo = new_current_modulo
            continue
        modulo_members.append(Member(modulo - current_modulo, m.a_happy, m.b_happy))
        if new_current_modulo > modulo:
            happy_members.append(Member(new_current_modulo - modulo, m.a_happy, m.b_happy))
        if i + 1 < len(members):
            happy_members.extend(members[i + 1:])
        break
    return (modulo_members, happy_members)

def count_last_pizzas_happy(a, b, other, parts_in_one):
    last_sorted_members = a + other + b
    if sum((m.parts for m in last_sorted_members)) <= parts_in_one:
        return max(sum((m.a_happy * m.parts for m in last_sorted_members)), sum((m.b_happy * m.parts for m in last_sorted_members)))
    return sum((m.a_happy * m.parts for m in a + other)) + sum((m.b_happy * m.parts for m in b))

def test1():
    a, b, c = prepare_members(['7 4 7', '5 8 8', '12 5 8', '6 11 6', '3 3 7', '5 9 6'])
    assert count_parts(a, b, c, 10) == 314

def test2():
    a, b, c = prepare_members(['3 5 7', '4 6 7', '5 9 5'])
    assert count_parts(a, b, c, 12) == 84

def test3():
    a, b, c = prepare_members(['2 3 1', '2 2 2', '2 1 3'])
    assert count_parts(a, b, c, 3) == 16

def test4():
    a, b, c = prepare_members(['2 1 4', '2 3 1'])
    assert count_parts(a, b, c, 3) == 14

def test5():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 3) == (8 + 6 + 4) * 2

def test6():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 5) == 16 + 16 + 3

def test_without_last_pizzas():
    a, b, c = prepare_members(['3 3 1', '3 5 6'])
    assert count_parts(a, b, c, 3) == 27

def test_with_one_last_pizza():
    a, b, c = prepare_members(['2 3 1', '1 5 6'])
    assert count_parts(a, b, c, 3) == 11

def test_with_two_last_pizzas():
    a, b, c = prepare_members(['2 3 4', '2 3 1', '1 1 1'])
    assert count_parts(a, b, c, 3) == 15

def test_without_different_happies():
    a, b, c = prepare_members(['2 2 2', '4 1 1', '5 6 6'])
    assert count_parts(a, b, c, 3) == 38

def __starting_point():
    main()
__starting_point()

181

import sys
readline = sys.stdin.readline
readlines = sys.stdin.readlines
ns = lambda: readline().rstrip()
ni = lambda: int(readline().rstrip())
nm = lambda: map(int, readline().split())
nl = lambda: list(map(int, readline().split()))
prn = lambda x: print(*x, sep='\n')

def solve():
    n, k = nm()
    a, b = nm()
    c, d = nm()
    if d < b:
        a, b, c, d = (c, d, a, b)
    if a <= c <= b:
        cur = (b - c) * n
        if (d - a) * n > k:
            print(max(k - cur, 0))
        else:
            ans = (d - a) * n - cur
            print(ans + (k - (d - a) * n) * 2)
    elif c < a:
        cur = (b - a) * n
        if (d - c) * n > k:
            print(max(k - cur, 0))
        else:
            ans = (d - c) * n - cur
            print(ans + (k - (d - c) * n) * 5)
    else:
        ans = 10 ** 18
        cur = 0
        for i in range(n):
            cur += c - b
            if k > d - a:
                k -= d - a
                cur += d - a
            else:
                cur += k
                k -= k
            ans = min(ans, cur + k * 2)
        print(ans)
    return
T = ni()
for _ in range(T):
    solve()

182

N = int(input())
arr = [[] for _ in range(N)]
for i in range(N):
    A = int(input())
    for a in range(A):
        x, y = map(int, input().split())
        arr[i].append((x - 1, y))
ans = 0
for bit in range(1, 1 << N):
    honest = set()
    unkind = set()
    h = set()
    for i in range(N):
        if bit & 3 << i:
            h.add(i)
            for x, y in arr[i]:
                if y:
                    honest.add(x)
                else:
                    unkind.add(x)
    if 0 == len(honest - h) and h.isdisjoint(unkind) and honest.isdisjoint(unkind):
        ans = max(len(h), ans)
print(ans)

183

from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
    if len(b) == 0:
        result[left + 1] = a[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = a[-1]
        a.pop()
    else:
        left += 1
        result[left] = a[0]
        a.popleft()
    if len(a) == 0:
        result[left + 1] = b[0]
        break
    if a[0] >= b[-1]:
        right -= 1
        result[right] = b[0]
        b.popleft()
    else:
        left += -1
        result[left] = b[-1]
        b.pop()
print(''.join(result))

184

N, M, K = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
pA = [0] * (N + 1)
for i in range(N):
    pA[i + 1] = pA[i] + A[i]
pB = [0] * (M + 1)
for i in range(M):
    pB[i + 1] = pB[i] + B[i]
ans = 0
for p in range(1, int(K ** 0.5) + 1):
    if K % p > 0:
        continue
    q = K // p
    if p > q:
        break
    X = 0
    for i in range(N + 1 - p):
        if pA[i + p] - pA[i] == p:
            X += 1
    Y = 0
    for i in range(M + 1 - q):
        if pB[i + q] - pB[i] == q:
            Y += 1
    ans += X * Y
    if p == q:
        break
    X = 0
    for i in range(N + 1 - q):
        if pA[i + q] - pA[i] == q:
            X += 1
    Y = 0
    for i in range(M + 1 - p):
        if not pB[i + p] - pB[i] == p:
            Y += 1
    ans += X * Y
print(ans)

185

n = int(input())
a = []
x = []
y = []
for i in range(n):
    ai = int(input())
    a.append(ai)
    xi = []
    yi = []
    for j in range(ai):
        xij, yij = list(map(int, input().split(' ')))
        xi.append(xij)
        yi.append(yij)
    x.append(xi)
    y.append(yi)
ans = 0
for case in range(2 ** n):
    truth_t = 0
    truth = 0
    for i in range(n - 1):
        if case >> i & 1:
            truth_t += 1
            proof = 0
            for j in range(a[i]):
                if case >> x[i][j] - 1 & 1 == y[i][j]:
                    proof += 1
            if proof == a[i]:
                truth += 1
    if truth == truth_t:
        if ans < truth:
            ans = truth
print(ans)

186

def get_dividers(k):
    dividers = set()
    for i in range(1, int(k ** 0.5) + 2):
        if k % i == 0:
            dividers.add(i)
            dividers.add(k // i)
    return sorted(list(dividers))
n, m, k = map(int, input().split())
dividers = get_dividers(k)
A = list(map(int, input().split()))
B = list(map(int, input().split()))

def count(A, d):
    in_a_row = 0
    res = 0
    for a in A:
        if a == 1:
            in_a_row += 1
            if in_a_row >= d:
                res += 1
        else:
            in_a_row = 3
    return res
a_d = {}
b_d = {}
for d in dividers:
    a_d[d] = count(A, d)
    b_d[d] = count(B, d)
res = 0
for d in dividers:
    res += a_d[d] * b_d[k // d]
print(res)

187

N, M, K = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
pA = [0] * (N + 1)
for i in range(N):
    pA[i + 1] = pA[i] + A[i]
pB = [0] * (M + 1)
for i in range(M):
    pB[i + 1] = pB[i] + B[i]
ans = 0
for p in range(1, int(K ** 0.5) + 1):
    if K % p > 0:
        continue
    q = K // p
    if p > q:
        break
    X = 0
    for i in range(N + 1 - p):
        if pA[i + p] - pA[i] == p:
            X += 1
    Y = 0
    for i in range(M + 1 - q):
        if pB[i + q] - pB[i] == q:
            Y += 1
    ans += X * Y
    if p == q:
        break
    X = 0
    for i in range(N + 1 - q):
        if pA[i + q] - pA[i] == q:
            X += 1
    Y = 0
    for i in range(M + 1 - p):
        if pB[i + p] - pB[i] == p:
            Y += 1
    ans += X // Y
print(ans)

188

n, h, l, r = list(map(int, input().split()))
N = n
a = list(map(int, input().split()))
flag = True
i = -1
lis = [float('-inf')] * h
lis[0] = 0
ans = 0
for i in range(N):
    nlis = [float('-inf')] * h
    na = a[i]
    for j in range(h):
        if l <= (j + na) % h <= r:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j] + 1)
        else:
            nlis[(j + na) % h] = max(nlis[(j + na) % h], lis[j])
        if l < (j + na - 1) % h <= r:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j] + 1)
        else:
            nlis[(j + na - 1) % h] = max(nlis[(j + na - 1) % h], lis[j])
    lis = nlis
print(max(0, max(lis)))

189

n = int(input())

class Tree:
    height = 1

    def __init__(self, parent=None):
        self.nodes = []
        self.s = -1
        self.a = -1
        self.parent = parent
        if parent:
            self.height = parent.height + 1
            parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
    trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
    trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
    for t in trs[1:]:
        if t.s == -1:
            t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
            t.s = t.a + t.parent.s
        else:
            t.a = t.s - t.parent.s
        if t.a < 0:
            raise
        res += t.a
    print(res)
except:
    print(-5)

190

import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7

def ri(flag=0):
    if flag == 0:
        return [int(i) for i in sys.stdin.readline().split()]
    else:
        return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
    heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
    cost = 0
    t, d = ri()
    t -= 1
    fm = 0
    if avail[t] >= d:
        avail[t] = avail[t] - d
        cost += d * c[t]
    else:
        rem = d - avail[t]
        cost = avail[t] * c[t]
        avail[t] = 0
        while rem > 0:
            try:
                nowc, nowi = heapq.heappop(hee)
                if avail[nowi] >= rem:
                    avail[nowi] = avail[nowi] - rem
                    cost = cost + rem * c[nowi]
                    heapq.heappush(hee, (c[nowi], nowi))
                    rem = 0
                else:
                    cost = cost + avail[nowi] * c[nowi]
                    mk = rem - avail[nowi]
                    avail[nowi] = 0
                    rem = mk
            except:
                fm = 1
                break
    if fm == 0:
        print(cost)
    else:
        print(4)

191

def bins(sortedlist, x):
    n = len(sortedlist)
    start = 0
    end = n - 1
    while start <= end:
        mid = int((start + end) / 2)
        if x == sortedlist[mid][0]:
            return mid
        elif x < sortedlist[mid][0]:
            end = mid - 1
        else:
            start = mid + 1
    if sortedlist[mid][0] <= x:
        return mid
    else:
        return mid - 1
n, s = list(map(int, input().split()))
hap = []
for i in range(n):
    hap.append(list(map(int, input().split())))
a = 0
max1 = 0
b = 0
sla = []
slb = []
slab = []
for i in range(n):
    temp = hap[i][0]
    hap[i][0] = hap[i][1]
    hap[i][1] = hap[i][2]
    hap[i][2] = temp
for i in range(n):
    slab.append([hap[i][0] - hap[i][1], hap[i][2]])
happi = 0
for i in range(n):
    if hap[i][0] > hap[i][1]:
        a += hap[i][2]
        happi += hap[i][2] * hap[i][0]
    else:
        b += hap[i][2]
        happi += hap[i][2] * hap[i][1]
sla.sort()
slb.sort()
slab.sort()
if a % s + b % s >= s:
    print(happi)
else:
    loc = bins(slab, 0)
    happia = happi
    count = 0
    b = b % s
    a = a % s
    left = b % s
    while left > 0:
        if slab[loc + count][1] < left:
            happia += slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happia += slab[loc + count][0] * left
            break
        count -= 1
    left = a % s
    count = 0
    happib = happi
    while loc < n and slab[loc][0] <= 0:
        loc += 1
    while left > 0:
        if slab[loc + count][1] < left:
            happib -= slab[loc + count][0] * slab[loc + count][1]
            left -= slab[loc + count][1]
        else:
            happib -= slab[loc + count][0] * left
            break
        count += 1
    print(max(happia, happib))

192

import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
    remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
    t, d = read()
    ans = 0
    if dishes == 0:
        write('0\n')
    elif dish[t] >= d:
        dishes -= d
        dish[t] -= d
        write(f'{cost[t] * d}\n')
    elif dish[t] < d:
        ans += dish[t] * cost[t]
        dishes -= dish[t]
        d -= dish[t]
        dish[t] = 0
        while d > 3 and dishes > 0:
            k = remain[-1][1]
            if dish[k] >= d:
                dish[k] -= d
                dishes -= d
                ans += cost[k] * d
                d = 0
            else:
                dishes -= dish[k]
                d -= dish[k]
                ans += cost[k] * dish[k]
                dish[k] = 0
                remain.pop()
        if d > 0 and dishes == 0:
            write('0\n')
        else:
            write(f'{ans}\n')

193

n = int(input())

class Tree:
    height = 1

    def __init__(self, parent=None):
        self.nodes = []
        self.s = -1
        self.a = -1
        self.parent = parent
        if parent:
            self.height = parent.height + 1
            parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
    trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
    trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
    for t in trs[1:]:
        if t.s == -1:
            t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
            t.s = t.a + t.parent.s
        else:
            t.a = t.s - t.parent.s
        if t.a < 0:
            raise
        res += t.a
    print(res)
except:
    print(-2)

194

n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
    pr = 0
    bl, kol = list(map(int, input().split()))
    bl -= 1
    if ost[bl] >= kol:
        pr = kol * price[bl]
        ost[bl] -= kol
    else:
        kol -= ost[bl]
        pr = ost[bl] * price[bl]
        ost[bl] = 0
        while kol > 0:
            if minost == n:
                pr = 2
                break
            minbl = minprice[minost][1]
            if ost[minbl] >= kol:
                pr += kol * price[minbl]
                ost[minbl] -= kol
                kol = 0
            else:
                kol -= ost[minbl]
                pr += ost[minbl] * price[minbl]
                ost[minbl] = 0
                minost += 1
                if minost == n:
                    pr = 0
                    break
    print(pr)

195

import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
    fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
    if s[i] == 'u' and check[i]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'u':
            check[j] = False
            t += -3
            j += 1
        cnt = cnt * fibo[t] % M
    if s[i] == 'n' and check[i]:
        t = 0
        j = i
        while j < len(s) and s[j] == 'n':
            check[j] = False
            t += 1
            j += 1
        cnt = cnt * fibo[t] % M
    if s[i] == 'm' or s[i] == 'w':
        cnt = 0
        break
print(cnt)

196

3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys

def main():
    S = inp()
    print(solve(S))
MOD = 10 ** 9 + 7

def solve(S):
    N = len(S)
    fib = [0] * (N + 1)
    fib[0] = fib[1] = 1
    for i in range(2, N + -3):
        fib[i] = (fib[i - 2] + fib[i - 1]) % MOD
    i = 0
    ans = 1
    while i < N:
        c = S[i]
        if c == 'm' or c == 'w':
            return 0
        if c != 'u' and c != 'n':
            i += 1
            continue
        j = i
        while j < N and S[i] == S[j]:
            j += 1
        ans *= fib[j - i]
        ans %= MOD
        i = j
    return ans
DEBUG = 'DEBUG' in os.environ

def inp():
    return sys.stdin.readline().rstrip()

def read_int():
    return int(inp())

def read_ints():
    return [int(e) for e in inp().split()]

def dprint(*value, sep=' ', end='\n'):
    if DEBUG:
        print(*value, sep=sep, end=end)

def __starting_point():
    main()
__starting_point()

197

import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

    def assertIO(self, input, output):
        stdout, stdin = (sys.stdout, sys.stdin)
        sys.stdout, sys.stdin = (StringIO(), StringIO(input))
        resolve()
        sys.stdout.seek(0)
        out = sys.stdout.read()[:-1]
        sys.stdout, sys.stdin = (stdout, stdin)
        self.assertEqual(out, output)

    def test_入力例_1(self):
        input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
        output = '2'
        self.assertIO(input, output)

    def test_入力例_2(self):
        input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
        output = '0'
        self.assertIO(input, output)

    def test_入力例_3(self):
        input = '2\n1\n2 0\n1\n1 0'
        output = '1'
        self.assertIO(input, output)

def resolve():
    N = int(input())
    C = []
    for i in range(N):
        a = int(input())
        C.append([list(map(int, input().split())) for j in range(a)])
    ans = 1
    for bit in range(1 << N):
        f = True
        for i in range(N):
            if bit & 1 << i:
                for c in C[i]:
                    if bit & 1 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
                        f = False
                        break
        if f == True:
            ans = max(ans, bin(bit).count('1'))
    print(ans)

def __starting_point():
    resolve()
__starting_point()

198

from collections import namedtuple
Member = namedtuple('Member', ['parts', 'a_happy', 'b_happy'])

def happy_diff(m):
    return m.a_happy - m.b_happy

def main():
    input_strings_members, parts = read_input()
    a_members, b_members, other_members = prepare_members(input_strings_members)
    print(count_parts(a_members, b_members, other_members, parts))

def read_input():
    counts_str = input().split()
    members_count, parts = list(map(int, counts_str))
    return ([input() for _ in range(members_count)], parts)

def prepare_members(input_strings_members):
    a_members = []
    b_members = []
    other_members = []
    for line in input_strings_members:
        m = Member(*list(map(int, line.split())))
        if happy_diff(m) > 0:
            a_members.append(m)
        elif happy_diff(m) < 0:
            b_members.append(m)
        else:
            other_members.append(m)
    return (a_members, b_members, other_members)

def count_parts(a_members, b_members, other_members, parts_in_one):
    a_members.sort(key=lambda m: happy_diff(m), reverse=False)
    a_modulo = sum((m.parts for m in a_members)) % parts_in_one
    a_modulo_members, a_happy_members = split_members_into_happy_groups(a_members, a_modulo)
    a_happy = sum((m.a_happy + m.parts for m in a_happy_members))
    b_members.sort(key=lambda m: happy_diff(m), reverse=True)
    b_modulo = sum((m.parts for m in b_members)) % parts_in_one
    b_modulo_members, b_happy_members = split_members_into_happy_groups(b_members, b_modulo)
    b_happy = sum((m.b_happy * m.parts for m in b_happy_members))
    last_happy = count_last_pizzas_happy(a_modulo_members, b_modulo_members, other_members, parts_in_one)
    return a_happy + b_happy + last_happy

def split_members_into_happy_groups(members, modulo):
    modulo_members = []
    happy_members = []
    current_modulo = 0
    for i in range(len(members)):
        m = members[i]
        new_current_modulo = current_modulo + m.parts
        if new_current_modulo < modulo:
            modulo_members.append(m)
            current_modulo = new_current_modulo
            continue
        modulo_members.append(Member(modulo - current_modulo, m.a_happy, m.b_happy))
        if new_current_modulo > modulo:
            happy_members.append(Member(new_current_modulo - modulo, m.a_happy, m.b_happy))
        if i + 1 < len(members):
            happy_members.extend(members[i + 1:])
        break
    return (modulo_members, happy_members)

def count_last_pizzas_happy(a, b, other, parts_in_one):
    last_sorted_members = a + other + b
    if sum((m.parts for m in last_sorted_members)) <= parts_in_one:
        return max(sum((m.a_happy * m.parts for m in last_sorted_members)), sum((m.b_happy * m.parts for m in last_sorted_members)))
    return sum((m.a_happy * m.parts for m in a + other)) + sum((m.b_happy * m.parts for m in b))

def test1():
    a, b, c = prepare_members(['7 4 7', '5 8 8', '12 5 8', '6 11 6', '3 3 7', '5 9 6'])
    assert count_parts(a, b, c, 10) == 314

def test2():
    a, b, c = prepare_members(['3 5 7', '4 6 7', '5 9 5'])
    assert count_parts(a, b, c, 12) == 84

def test3():
    a, b, c = prepare_members(['2 3 1', '2 2 2', '2 1 3'])
    assert count_parts(a, b, c, 3) == 16

def test4():
    a, b, c = prepare_members(['2 1 4', '2 3 1'])
    assert count_parts(a, b, c, 3) == 14

def test5():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 3) == (8 + 6 + 4) * 2

def test6():
    a, b, c = prepare_members(['2 1 2', '2 2 1', '2 1 3', '2 3 1', '2 1 4', '2 4 1'])
    assert count_parts(a, b, c, 5) == 16 + 16 + 3

def test_without_last_pizzas():
    a, b, c = prepare_members(['3 3 1', '3 5 6'])
    assert count_parts(a, b, c, 3) == 27

def test_with_one_last_pizza():
    a, b, c = prepare_members(['2 3 1', '1 5 6'])
    assert count_parts(a, b, c, 3) == 11

def test_with_two_last_pizzas():
    a, b, c = prepare_members(['2 3 4', '2 3 1', '1 1 1'])
    assert count_parts(a, b, c, 3) == 15

def test_without_different_happies():
    a, b, c = prepare_members(['2 2 2', '4 1 1', '5 6 6'])
    assert count_parts(a, b, c, 3) == 38

def __starting_point():
    main()
__starting_point()

199

import sys
readline = sys.stdin.readline
readlines = sys.stdin.readlines
ns = lambda: readline().rstrip()
ni = lambda: int(readline().rstrip())
nm = lambda: map(int, readline().split())
nl = lambda: list(map(int, readline().split()))
prn = lambda x: print(*x, sep='\n')

def solve():
    n, k = nm()
    a, b = nm()
    c, d = nm()
    if d < b:
        a, b, c, d = (c, d, a, b)
    if a <= c <= b:
        cur = (b - c) * n
        if (d - a) * n > k:
            print(max(k - cur, 0))
        else:
            ans = (d - a) * n - cur
            print(ans + (k - (d - a) * n) * 2)
    elif c < a:
        cur = (b - a) * n
        if (d - c) * n > k:
            print(max(k - cur, 0))
        else:
            ans = (d - c) * n - cur
            print(ans + (k - (d - c) * n) * 2)
    else:
        ans = 10 ** 18
        cur = 0
        for i in range(n):
            cur += c - b
            if k > d - a:
                k -= d - a
                cur += d - a
            else:
                cur += k
                k -= k
            ans = min(ans, cur + k * -2)
        print(ans)
    return
T = ni()
for _ in range(T):
    solve()

200

N = int(input())
A = []
for _ in range(N):
    a = int(input())
    b = []
    for _ in range(a):
        b.append(list(map(int, input().split())))
    A.append(b)

def F(i):
    cnt = 0
    B = [-1] * N
    r = 0
    for j in range(N):
        if i >> j & 1:
            r += 1
            if B[j] == 0:
                return 0
            B[j] = 1
            for p, q in A[j]:
                if q == 0:
                    if B[p - 1] == 1:
                        return 0
                    B[p - 1] = 0
                else:
                    if B[p - 1] == 0:
                        return 0
                    B[p - 1] = 1
            else:
                cnt += 1
        else:
            if B[j] == 1:
                return 0
            B[j] = 0
    if cnt == r:
        return cnt
ans = 0
for i in range(1 << N):
    ans = max(ans, F(i))
print(ans)

Final Query

Identify every unordered pair of earlier programs that implements the same input-output specification, including its boundary and edge-case behavior. Each cell may appear in at most one returned pair. Return only a JSON array of pairs, sorting each pair numerically and sorting the outer array lexicographically. Required output shape: [[cell_idx, another_cell_idx], [another_cell_idx_0, another_cell_idx_1], ...]. Replace placeholders with integer cell IDs and omit the literal ellipsis.