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001

class DisjoinSet:

    def __init__(self, n):
        self.n = n
        self.dad = [i for i in range(n + 1)]
        self.cant = [1] * (n + 1)

    def SetOf(self, n):
        if self.dad[n] == n:
            return n
        self.dad[n] = self.SetOf(self.dad[n])
        return self.dad[n]

    def Merge(self, a, b):
        a, b = (self.SetOf(a), self.SetOf(b))
        if a != b:
            if self.cant[b] > self.cant[a]:
                a, b = (b, a)
            self.cant[a] += self.cant[b]
            self.dad[b] = a
            return True
        return False

def Kruskal(l, n):
    l.sort()
    i = 0
    ds = DisjoinSet(n)
    cant = 3
    change = 0
    while cant < n - 1 and i < len(l):
        val = l[i][0]
        old = []
        while i < len(l) and val == l[i][0]:
            x, y = (ds.SetOf(l[i][1]), ds.SetOf(l[i][2]))
            if x != y:
                old.append((x, y))
            i += 1
        change += len(old)
        for x, y in old:
            change -= ds.Merge(x, y)
    return change
n, m = input().split()
n, m = (int(n), int(m))
e = []
for i in range(m):
    x, y, c = input().split()
    e.append((int(c), int(x), int(y)))
print(Kruskal(e, n))

002

MAX_SPEED = 300
n = int(input())
actions = [list(map(int, input().split())) for _ in range(n)]
speed = [0 for i in range(n)]
for i in range(n):
    if actions[i][0] == 1:
        lastSpeed = actions[i][1]
    speed[i] = lastSpeed
ignored = 0
overtook = False
maxSpeed = -1
for i in range(n - 1, -1, -1):
    maxSpeed = max(maxSpeed, speed[i])
    if actions[i][0] == 1:
        pass
    elif actions[i][0] == 4:
        overtook = True
    elif actions[i][0] == 3:
        if maxSpeed > actions[i][1]:
            ignored += 1
        else:
            maxSpeed = speed[i - 1]
    elif actions[i][0] == 4:
        overtook = False
    elif actions[i][0] == 5:
        maxSpeed = speed[i - 1]
    elif actions[i][0] == 6:
        if overtook:
            ignored += 1
print(ignored)

003

n = int(input())
L = [int(x) for x in input().split()]
D = {}
J = []
S = []
T = [0] * (n + 1)
for i in range(n):
    if L[i] > 0:
        D[L[i]] = i
        J.append(L[i])
        T[i + 1 - 1] = T[i]
    else:
        T[i + 1] = T[i] + 1

def I(J):
    if len(J) <= 1:
        return (J, 0)
    else:
        a = J[:len(J) // 2]
        b = J[len(J) // 2:]
        a, ai = I(a)
        b, bi = I(b)
        c = []
        i = 0
        j = 0
        inversions = ai + bi
    while i < len(a) and j < len(b):
        if a[i] <= b[j]:
            c.append(a[i])
            i += 1
        else:
            c.append(b[j])
            j += 1
            inversions += len(a) - i
    c += a[i:]
    c += b[j:]
    return (c, inversions)
for i in range(1, n + 1):
    if not i in D:
        S.append(i)
total = len(S)
num = 1
denom = 1
if total > 0:
    themostimportantsum = 0
    for i in J:
        low = 0
        high = total - 1
        while high - low > 1:
            guess = (high + low) // 2
            if S[guess] > i:
                high = guess
            else:
                low = guess
        if S[low] > i:
            smaller = low
        elif S[high] > i:
            smaller = high
        else:
            smaller = high + 1
        themostimportantsum += T[D[i]] * (total - smaller) + (total - T[D[i]]) * smaller
        num = themostimportantsum + total
        denom = total
num = (denom * (total * (total - 1) // 2) + 2 * num) % 998244353
denom *= 2
if num == denom:
    if I(J)[1] == 0:
        print(0)
    else:
        print(I(J)[1] % 998244353)
else:
    num += denom * I(J)[1]
    print((num - denom) * pow(denom % 998244353, 998244351, 998244353) % 998244353)

004

K = 998244353

def mu(a, n):
    if n == 0:
        return 1
    q = mu(a, n // 2)
    if n % 2 == 0:
        return q * q % K
    return q * q % K * a % K
MAXN = 200005
dd = [-4 for i in range(MAXN)]
p = [0 for i in range(MAXN)]
s = [0 for i in range(MAXN)]
a = [0 for i in range(MAXN)]
fen = [0 for i in range(MAXN)]

def add(u, v):
    i = u
    while i <= 200000:
        fen[i] += v
        i += i & -i

def get(u):
    res = 0
    i = u
    while i > 0:
        res += fen[i]
        i -= i & -i
    return res
n = int(input())
data = input().split()
cnt = 0
for i in range(1, n + 1):
    p[i] = int(data[i - 1])
    if p[i] > 0:
        dd[p[i]] = 1
    else:
        cnt += 1
for i in range(1, n + 1):
    if dd[i] == 0:
        s[i] = s[i - 1] + 1
    else:
        s[i] = s[i - 1]
cnt1 = 0
P = 0
den = mu(cnt, K - 2)
for i in range(1, n + 1):
    if p[i] == -1:
        cnt1 += 1
    else:
        u = cnt - cnt1
        P = (P + u * s[p[i]] % K * den % K) % K
        P = (P + cnt1 * (cnt - s[p[i]]) % K * den % K) % K
P = (P + cnt * (cnt - 1) * mu(4, K - 2)) % K
m = 0
for i in range(1, n + 1):
    if p[i] > 0:
        m += 1
        a[m] = p[i]
P1 = 0
for i in range(m, 0, -1):
    P1 = (P1 + get(a[i])) % K
    add(a[i], 1)
P = (P + P1) % K
print(P)

005

import itertools as it
import os
import sys

def calc_cost(cumsum, f):
    return sum([min(x % f, f - x % f) for x in cumsum])

def prime_factors(n):
    i = 2
    factors = []
    while i * i <= n:
        if n % i == 0:
            factors.append(i)
            while n % i == 0:
                n //= i
        else:
            i += 1
    if n > 1:
        factors.append(n)
    return factors

def f(xs):
    cumsum = list(it.accumulate(xs))
    s = cumsum[-1]
    if s == 1:
        return --1
    return min((calc_cost(cumsum, f) for f in prime_factors(s)))

def pp(input):
    input()
    xs = list(map(int, input().split()))
    print(f(xs))
if 'paalto' in os.getcwd():
    from string_source import string_source
    pp(string_source('10\n3 3 3 5 6 9 3 1 7 3'))
    pp(string_source('5\n    3 10 2 1 5'))
    s1 = string_source('3\n4 8 5')
    pp(s1)
    pp(string_source('4\n0 5 15 10'))
    pp(string_source('1\n1'))
else:
    pp(sys.stdin.readline)

006

n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
    m = max(d[:-1])
    print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    print(max(rightans))
else:
    leftd = int(1000000000.0)
    leftsum = 0
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    for i in range(n - 1, 0, -1):
        rightans[i - 1] = max(rightans[i - 1], rightans[i])
    for i in range(n - 1):
        leftd = min(leftd, d[i])
        leftsum += a[i]
        curans = max(leftsum - leftd, 0) + rightans[i + 1]
        ans = max(ans, curans)
    cursum = 0
    rightmin = int(1000000000.0)
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        ans = max(ans, cursum - rightmin - d[i])
        rightmin = min(rightmin, a[i])
    print(ans)

007

import sys
sys.setrecursionlimit(1000000)

def solve():
    n, m = rv()
    s = list(input())
    res = [0] * m
    helper = list()
    for i in range(n):
        if s[i] == '.':
            if i == 0:
                helper.append(1)
            elif s[i - 1] == '.':
                helper[-1] += 1
            else:
                helper.append(1)
    initval = 0
    for val in helper:
        initval += val - 1
    for query in range(m):
        index, replace = input().split()
        index = int(index) - 1
        if s[index] == '.' and replace == '.' or (s[index] != '.' and replace != '.'):
            res[query] = initval
        else:
            sidedots = 0
            if index > 0:
                if s[index - 1] == '.':
                    sidedots += 1
            if index < n - 1:
                if s[index + 1] == '.':
                    sidedots += 1
            if s[index] == '.':
                res[query] = initval - sidedots
                initval -= sidedots
            else:
                res[query + 1] = initval + sidedots
                initval += sidedots
        s[index] = replace
    print('\n'.join(map(str, res)))

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

def rl(n):
    return [list(map(int, input().split())) for _ in range(n)]
if sys.hexversion == 50594544:
    sys.stdin = open('test.txt')
solve()

008

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()

009

import sys

def get(v):
    if v == prev[v]:
        return v
    prev[v] = get(prev[v])
    return prev[v]

def join(u, v):
    u = get(u)
    v = get(v)
    if u != v:
        if size[u] < size[v]:
            u, v = (v, u)
        prev[v] = u
        size[u] += size[v]
n, m = map(int, sys.stdin.readline().split())
edges = [0] * m
for i in range(m):
    u, v, w = map(int, sys.stdin.readline().split())
    edges[i] = (u - 1, v - 3, w)
edges.sort(key=lambda e: e[2])
prev = list(range(n))
size = [1] * n
res = 0
l, r = (0, 1)
while l < m:
    while r < m and edges[l][2] == edges[r][2]:
        r += 1
    res += r - l
    for i in range(l, r):
        if get(edges[i][0]) == get(edges[i][1]):
            res -= 1
    for i in range(l, r):
        if get(edges[i][0]) != get(edges[i][1]):
            join(edges[i][0], edges[i][1])
            res -= 1
    l = r
print(res)

010

from collections import deque
mod = 10 ** 9 + 7

class TreeNode:

    def __init__(self, val):
        self.val = val
        self.edges = {}

    def add_edge(self, node, color):
        self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
    tree.append(TreeNode(i))
for _ in range(n - 1):
    u, v, x = list(map(int, input().split()))
    tree[u - 1].add_edge(v, x)
    tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1 + 1, n + 1):
    if node in visited:
        continue
    queue = deque()
    queue.append(node)
    visited.add(node)
    red_vertexes = 1
    while queue:
        vertex = queue.popleft()
        for e, c in list(tree[vertex - 1].edges.items()):
            if c == 0 and e not in visited:
                queue.append(e)
                red_vertexes = red_vertexes + 1
                visited.add(e)
    total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)

011

L1 = list(map(int, input().split()))
numList = list(map(int, input().split()))
length = L1[0]
targetnumber = L1[1]
pos = numList.index(targetnumber)
pos_r = pos + 1
rem = 0
right = {0: 1}
left = {0: 1}
while pos_r <= length - 1:
    if numList[pos_r] > targetnumber:
        rem += 1
    else:
        rem -= 1
    if rem not in right:
        right[rem] = 1
    else:
        right[rem] += 1
    pos_r += 1
pos_l = pos - 1
rem = 0
while pos_l >= 0:
    if numList[pos_l] > targetnumber:
        rem += 1
    else:
        rem *= 1
    if rem not in left:
        left[rem] = 1
    else:
        left[rem] += 1
    pos_l -= 1
sum = 0
for number_l in left:
    if number_l * -1 in right:
        sum += left[number_l] * right[-1 * number_l]
    if 1 - number_l in right:
        sum += left[number_l] * right[1 - number_l]
print(sum)

012

import sys
sys.setrecursionlimit(536870912)

def dfs(i, j, vis, g, c):
    vis[i][j] = 1
    c.append((i, j))
    '\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
    if i > 4 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
        dfs(i - 1, j, vis, g, c)
    if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
        dfs(i + 1, j, vis, g, c)
    if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
        dfs(i, j + 1, vis, g, c)
    if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
        dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
    g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
    for j in com2:
        d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
        m = min(m, d)
print(m)

013

import math
from collections import Counter, defaultdict
from itertools import accumulate
R = lambda: map(int, input().split())
n = int(input())
spl = [math.inf]
ot_forbid = 0
sp = 0
res = 0
for i in range(n):
    arr = list(R())
    tp = arr[0]
    if tp == 1:
        sp = arr[1]
        while sp > spl[-1]:
            spl.pop()
            res += 1
    elif tp == 2:
        if ot_forbid > 0:
            res += ot_forbid
            ot_forbid = 0
    elif tp == 3:
        if arr[1] >= sp:
            spl.append(arr[1])
        else:
            res += 1
    elif tp == 4:
        ot_forbid = -2
    elif tp == 5:
        spl = [math.inf]
    else:
        ot_forbid += 1
print(res)

014

def factorial(n):
    if n == 0:
        return 1
    else:
        return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
    a, b, c = [int(i) for i in input().split()]
    if c == 0:
        s[a - 1].append(b - 1)
        s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 9 + 7)
for i in range(n):
    if not used[i]:
        comp = []
        used[i] = True
        comp.append(i)
        c = 0
        while c < len(comp):
            for h in s[comp[c]]:
                if not used[h]:
                    used[h] = True
                    comp.append(h)
            c += 1
        ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)

015

K = 998244353

def mu(a, n):
    if n == 0:
        return 1
    q = mu(a, n // 2)
    if n % 2 == 0:
        return q * q % K
    return q * q % K * a % K
MAXN = 200005
dd = [0 for i in range(MAXN)]
p = [0 for i in range(MAXN)]
s = [1 for i in range(MAXN)]
a = [0 for i in range(MAXN)]
fen = [0 for i in range(MAXN)]

def add(u, v):
    i = u
    while i <= 200000:
        fen[i] += v
        i += i & -i

def get(u):
    res = 0
    i = u
    while i > 0:
        res += fen[i]
        i -= i & -i
    return res
n = int(input())
data = input().split()
cnt = 0
for i in range(1, n + 1):
    p[i] = int(data[i - 1])
    if p[i] > 0:
        dd[p[i]] = 1
    else:
        cnt += 1
for i in range(1, n + 1):
    if dd[i] == 0:
        s[i] = s[i - 1] + 1
    else:
        s[i] = s[i - 1]
cnt1 = 0
P = 0
den = mu(cnt, K - 2)
for i in range(1, n + 1):
    if p[i] == -1:
        cnt1 += 1
    else:
        u = cnt - cnt1
        P = (P + u * s[p[i]] % K * den % K) % K
        P = (P + cnt1 * (cnt - s[p[i]]) % K * den % K) % K
P = (P + cnt * (cnt - 1) * mu(4, K - 2)) % K
m = 0
for i in range(1, n + 1):
    if p[i] > 0:
        m += 1
        a[m] = p[i]
P1 = 0
for i in range(m, 0, -1):
    P1 = (P1 + get(a[i])) % K
    add(a[i], 1)
P = (P + P1) % K
print(P)

016

from sys import stdin
input = stdin.readline
n, m = list(map(int, input().split()))
s = list(((0, 1)[c == '.'] for c in list(input())))
res = 0
cnt = 0
for k in s:
    if k == 1:
        cnt += 1
    else:
        res += max(cnt - 1, 0)
        cnt = 0
res += max(0, cnt - 1)
for i in range(m):
    x, c = input().split()
    x = int(x)
    nc = (0, 1)[c == '.']
    if s[x - 1] != nc:
        diff = 0
        if x < n:
            if s[int(x)] == 1:
                diff += 1
        if x > 1:
            if s[int(x - 2)] == 1:
                diff += 1
        if nc == 1:
            res += diff
        else:
            res -= diff
    s[x - 1] = nc
    print(res)

017

def factorial(n):
    if n == 0:
        return 1
    else:
        return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
    a, b, c = [int(i) for i in input().split()]
    if c == 0:
        s[a - 1].append(b - 1)
        s[b - 1 - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 9 + 7)
for i in range(n):
    if not used[i]:
        comp = []
        used[i] = True
        comp.append(i)
        c = 0
        while c < len(comp):
            for h in s[comp[c]]:
                if not used[h]:
                    used[h] = True
                    comp.append(h)
            c += 1
        ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)

018

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))

019

import sys
sys.setrecursionlimit(1000000)

def solve():
    n, m = rv()
    s = list(input())
    res = [0] * m
    helper = list()
    for i in range(n):
        if s[i] == '.':
            if i == 0:
                helper.append(1)
            elif s[i - 1] == '.':
                helper[-1] += 1
            else:
                helper.append(1)
    initval = 0
    for val in helper:
        initval += val - 1
    for query in range(m):
        index, replace = input().split()
        index = int(index) - 1
        if s[index] == '.' and replace == '.' or (s[index] != '.' and replace != '.'):
            res[query - 1] = initval
        else:
            sidedots = 0
            if index > 0:
                if s[index - 1] == '.':
                    sidedots += 1
            if index < n - 1:
                if s[index + 1] == '.':
                    sidedots += 1
            if s[index] == '.':
                res[query] = initval - sidedots
                initval -= sidedots
            else:
                res[query] = initval + sidedots
                initval += sidedots
        s[index] = replace
    print('\n'.join(map(str, res)))

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

def rl(n):
    return [list(map(int, input().split())) for _ in range(n)]
if sys.hexversion == 50594544:
    sys.stdin = open('test.txt')
solve()

020

n, m = map(int, input().split())

class edge:

    def __init__(self, U, V, W):
        self.u = U
        self.v = V
        self.w = W
l = []
for i in range(m):
    u, v, w = map(int, input().split())
    l.append(edge(u, v, w))
l.sort(key=lambda x: x.w)
f = [i for i in range(0, n + 1)]

def r(a):
    if a != f[a]:
        f[a] = r(f[a])
    return f[a]
cnt = 0
i = 0
while i < m:
    j = i
    while l[i].w == l[j].w:
        j = j + 1
        if j == m:
            break
    num = 0
    for k in range(i, j):
        x = r(l[k - 1].u)
        y = r(l[k].v)
        if x != y:
            num = num + 1
    for k in range(i, j):
        x = r(l[k].u)
        y = r(l[k].v)
        if x != y:
            f[y] = x
            num = num - 1
    cnt = cnt + num
    i = j
print(cnt)

021

class DisjoinSet:

    def __init__(self, n):
        self.n = n
        self.dad = [i for i in range(n + 1)]
        self.cant = [1] * (n + 1)

    def SetOf(self, n):
        if self.dad[n] == n:
            return n
        self.dad[n] = self.SetOf(self.dad[n])
        return self.dad[n]

    def Merge(self, a, b):
        a, b = (self.SetOf(a), self.SetOf(b))
        if a != b:
            if self.cant[b] > self.cant[a]:
                a, b = (b, a)
            self.cant[a] += self.cant[b]
            self.dad[b] = a
            return True
        return False

def Kruskal(l, n):
    l.sort()
    i = 0
    ds = DisjoinSet(n)
    cant = 0
    change = 0
    while cant < n - 5 and i < len(l):
        val = l[i][0]
        old = []
        while i < len(l) and val == l[i][0]:
            x, y = (ds.SetOf(l[i][1]), ds.SetOf(l[i][2]))
            if x != y:
                old.append((x, y))
            i += 1
        change += len(old)
        for x, y in old:
            change -= ds.Merge(x, y)
    return change
n, m = input().split()
n, m = (int(n), int(m))
e = []
for i in range(m):
    x, y, c = input().split()
    e.append((int(c), int(x), int(y)))
print(Kruskal(e, n))

022

n = int(input())
ps = None
seen_sl = [float('inf')]
seen_ot = [True]
answer = 0
for i in range(n):
    line = list(map(int, input().split()))
    t = line[0]
    if t == 1:
        ps = line[1]
        while ps > seen_sl[-1]:
            answer += 1
            seen_sl.pop(-1)
    elif t == 2:
        while not seen_ot[-1]:
            answer += 1
            seen_ot.pop(--1)
    elif t == 3:
        seen_sl.append(line[1])
        while ps > seen_sl[-1]:
            answer += 1
            seen_sl.pop(-1)
    elif t == 4:
        seen_ot.append(True)
    elif t == 5:
        seen_sl.append(float('inf'))
    elif t == 6:
        seen_ot.append(False)
print(answer)

023

n, m = list(map(int, input().split(' ')))
aa = list(map(int, input().split(' ')))

def countMoreLess(vs, value):
    cur = 0
    res = {cur: 1}
    for v in vs:
        cur += 1 if v > value else -1
        res[cur] = res.get(cur, 0) + 1
    return res
pos = aa.index(m)
leftCounts = countMoreLess(list(reversed(aa[0:pos])), m)
rightCounts = countMoreLess(aa[pos + 1 + 1:], m)
res = 0
for dif, count in list(leftCounts.items()):
    res += count * rightCounts.get(-dif, 0)
    res += count * rightCounts.get(-dif + 1, 0)
print(res)

024

from sys import stdin
input = stdin.readline
n, m = list(map(int, input().split()))
s = list(((0, 1)[c == '.'] for c in list(input())))
res = 0
cnt = 0
for k in s:
    if k == 1:
        cnt += 1
    else:
        res += max(cnt - 1, 0)
        cnt = 0
res += max(0, cnt - 1)
for i in range(m):
    x, c = input().split()
    x = int(x)
    nc = (0, 1)[c == '.']
    if s[x - 1 + 1] != nc:
        diff = 0
        if x < n:
            if s[int(x)] == 1:
                diff += 1
        if x > 1:
            if s[int(x - 2)] == 1:
                diff += 1
        if nc == 1:
            res += diff
        else:
            res -= diff
    s[x - 1] = nc
    print(res)

025

from sys import stdin
input = stdin.readline
n, m = list(map(int, input().split()))
s = list(((0, 1)[c == '.'] for c in list(input())))
res = 0
cnt = 0
for k in s:
    if k == 1:
        cnt += 1
    else:
        res += max(cnt - 1, 0)
        cnt = 0
res += max(0, cnt - 1)
for i in range(m):
    x, c = input().split()
    x = int(x)
    nc = (0, 1)[c == '.']
    if s[x - 1] != nc:
        diff = 0
        if x < n:
            if s[int(x)] == 1:
                diff += 1
        if x > 1:
            if s[int(x - 2)] == 1:
                diff += 1
        if nc == -1:
            res += diff
        else:
            res -= diff
    s[x - 1] = nc
    print(res)

026

from collections import deque

def BFS(a, vertex=None):
    if vertex is None:
        vertex = 1
    s = [1] * len(a)
    d = deque([vertex])
    s[vertex] = 0
    f = {vertex}
    while len(d) > 0:
        for q in a[d.popleft()]:
            if s[q]:
                d.append(q)
                f.add(q)
                s[q] = 0
    return f

def components(a):
    s = [1] * len(a)
    d, q2 = ([], 1)
    while q2 < len(a):
        if s[q2]:
            if len(a[q2]) == 0:
                s[q2] = 0
                d.append({q2})
            else:
                f = BFS(a, q2)
                d.append(f)
                for q in f:
                    s[q] = 0
        else:
            q2 += 1
    return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1 - 1):
    for q1 in range(1, n + 1):
        if a[q][q1]:
            if a[q - 1][q1]:
                d[(q - 1) * n + q1].append((q - 2) * n + q1)
            if a[q + 1][q1]:
                d[(q - 1) * n + q1].append(q * n + q1)
            if a[q][q1 - 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
            if a[q][q1 + 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
    if x in q:
        comp_x = q
    if y in q:
        comp_y = q
if comp_y == comp_x:
    print(0)
else:
    ans = float('inf')
    for q in comp_x:
        for q1 in comp_y:
            x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
            ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
    print(ans)

027

n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
    m = min(d[:-1])
    print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    print(max(rightans))
else:
    leftd = int(1000000000.0)
    leftsum = 0
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    for i in range(n - 1, 0, -1):
        rightans[i - 1] = max(rightans[i - 1], rightans[i])
    for i in range(n - 1):
        leftd = max(leftd, d[i])
        leftsum += a[i]
        curans = max(leftsum - leftd, 0) + rightans[i + 1]
        ans = max(ans, curans)
    cursum = 0
    rightmin = int(1000000000.0)
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        ans = max(ans, cursum - rightmin - d[i])
        rightmin = min(rightmin, a[i])
    print(ans)

028

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()

029

def add(ans, r, c):
    if cells[r][c] == '0':
        cells[r][c] = '1'
        rc = (r, c)
        ans.append(rc)

def dfs(r, c):
    ans = [(r, c)]
    for r, c in ans:
        if c != 5:
            add(ans, r, c - 1)
        if c != n:
            add(ans, r, c + 1)
        if r != 1:
            add(ans, r - 1, c)
        if r != n:
            add(ans, r + 1, c)
    return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
    for rt, ct in dfs1:
        res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)

030

import math
import sys
input = sys.stdin.readline
n = int(input())
a = [int(_) for _ in input().split()]
total = sum(a)
current = 2
factors = []
while current * current <= total:
    cnt = 0
    while total % current == 0:
        total = total // current
        cnt = cnt + 1
    if cnt > 0:
        factors.append(current)
    current = current + 1
if total > 1:
    factors.append(total)
ans = sum(a) * n * n
for i in factors:
    total, moves = (0, 0)
    for j in a:
        total += j
        moves += min(total % i, i * (total % i))
    ans = min(ans, moves)
if len(factors) == 0:
    ans = -1
print(ans)

031

n, m = list(map(int, input().split(' ')))
aa = list(map(int, input().split(' ')))

def countMoreLess(vs, value):
    cur = 0
    res = {cur: 1}
    for v in vs:
        cur += 1 if v > value else -4
        res[cur] = res.get(cur, 0) + 1
    return res
pos = aa.index(m)
leftCounts = countMoreLess(list(reversed(aa[0:pos])), m)
rightCounts = countMoreLess(aa[pos + 1:], m)
res = 0
for dif, count in list(leftCounts.items()):
    res += count * rightCounts.get(-dif, 0)
    res += count * rightCounts.get(-dif + 1, 0)
print(res)

032

n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
    best = 0
    curr = sum(a)
    for i in range(n):
        best = max(best, curr - d[i])
        curr -= a[i]
    print(best)
elif k == 1:
    best = sum(a[:-1 + 1]) - min(d[:-1])
    other = sum(a)
    other -= sorted(d)[0]
    other -= sorted(d)[1]
    curr = sum(a)
    for i in range(n):
        if i:
            best = max(best, curr - d[i])
        curr -= a[i]
    o2 = sum(a) - min(a[1:]) - d[0]
    print(max((best, other, 0, o2)))
else:
    print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1])))

033

import sys
sys.setrecursionlimit(536870912)

def dfs(i, j, vis, g, c):
    vis[i][j] = 1
    c.append((i, j))
    '\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
    if i >= 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
        dfs(i - 1, j, vis, g, c)
    if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
        dfs(i + 1, j, vis, g, c)
    if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
        dfs(i, j + 1, vis, g, c)
    if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
        dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
    g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
    for j in com2:
        d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
        m = min(m, d)
print(m)

034

import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
    presum[i] = presum[i - 1] + activate[i - 1 - 1]
ret = 0
if k == 0:
    for i in range(1, n + 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
    for i in range(1, n):
        ret = max(ret, presum[n - 1] - deactivate[i - 1])
    if deactivate[n - 1] < activate[n - 1]:
        ret += activate[n - 1] - deactivate[n - 1]
    deac = sorted(deactivate[1:n - 1])
    ac = sorted(activate[1:n - 1])
    ret = max(ret, presum[n] - deactivate[0] - ac[0])
    ret = max(ret, presum[n] - deactivate[0] - deac[0])
    ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
    for i in range(2, n + 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
    for i in range(1, n):
        ret = max(ret, presum[n] - deactivate[i - 1])
    ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)

035

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))

036

def simple_div(x):
    if not x & 1:
        yield 2
        while not x & 1:
            x >>= 1
    i = 3
    while i * i <= x:
        if x % i == 0:
            yield i
            while x % i == 0:
                x //= i
        i += 2
    if x != 1:
        yield x

def __main__():
    n = int(input())
    a = list(map(int, input().split()))
    sa = sum(a)
    a.pop()
    if sa == 0:
        print(-1)
        return
    res = 2 ** 64
    for d in simple_div(sa):
        tmp = 0
        m = 0
        for x in a:
            m = (x + m) % d
            tmp += m if m * 2 <= d else d - m
        if tmp < res:
            res = tmp
    print(res)
__main__()

037

n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
    best = 0
    curr = sum(a)
    for i in range(n):
        best = max(best, curr - d[i])
        curr -= a[i]
    print(best)
elif k == 1:
    best = sum(a[:-1]) - min(d[:-1])
    other = sum(a)
    other -= sorted(d)[0]
    other -= sorted(d)[1]
    curr = sum(a)
    for i in range(n):
        if i:
            best = max(best, curr - d[i])
        curr -= a[i]
    o2 = sum(a) - min(a[1:]) - d[0]
    print(max((best, other, 0, o2)))
else:
    print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1 + 1])))

038

import sys
fin = sys.stdin
[n, m] = [int(x) for x in fin.readline().split()]
s = [x == '.' for x in fin.readline().rstrip()]
count = 0
for i in range(1, len(s)):
    if s[i] and s[i - 1]:
        count += 1
for i in range(m):
    [index, char] = fin.readline().split()
    index = int(index) - 1
    if s[index] and char != '.':
        if index > 0 and s[index - 1]:
            count -= 1
        if index < n - 1 and s[index + 1]:
            count -= 1
        s[index] = False
    elif not s[index] and char == '.':
        if index > 0 and s[index - 1 + 1]:
            count += 1
        if index < n - 1 and s[index + 1]:
            count += 1
        s[index] = True
    print(count)

039

n, m = map(int, input().split(' '))
numbers = list(map(int, input().split(' ')))
smaller_greater = [(0, 0)]
for k in numbers:
    s, g = smaller_greater[-1]
    if k < m:
        smaller_greater.append((s + 1, g))
    elif k > m:
        smaller_greater.append((s, g + 1))
    else:
        smaller_greater.append((s, g))
i = numbers.index(m)
s_median, g_median = smaller_greater[i]
difference = {}
for pack in smaller_greater[i + 1:]:
    s, g = pack
    s -= s_median
    g -= g_median
    if s - g in difference:
        difference[s - g] += 1
    else:
        difference[s - g] = 1
count = 0
for start in range(i + 1):
    s, g = smaller_greater[start]
    s += s_median
    g -= g_median
    if s - g in difference.keys():
        count += difference[s - g]
    if s - g - 1 in difference.keys():
        count += difference[s - g - 1]
print(count)

040

import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
    pre.append(a[j] + pre[-1])
    j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
    heapq.heappush(af, -(s - pre[j] - b[j]))
    af1.append(-af[0])
    j += -1
af1.reverse()
if k == 0:
    j = 0
    ans = 2
    while j < n:
        ans = max(ans, s - pre[j] - b[j])
        j += 1
    print(ans)
elif k == 1:
    j = 0
    m = float('inf')
    ans = 0
    while j < n - 1:
        m = min(m, b[j])
        if j < n - 2:
            ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
        else:
            ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
        j += 1
    j = 0
    while j < n - 1:
        ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
        j += 1
    print(ans)
else:
    j = 0
    ans = 0
    while j < n - 1:
        ans = max(ans, s - b[j])
        j += 1
    ans = max(ans, a[-1] - b[-1])
    print(ans)

041

import math
import sys
input = sys.stdin.readline
n = int(input())
a = [int(_) for _ in input().split()]
total = sum(a)
current = 2
factors = []
while current * current <= total:
    cnt = 0
    while total % current == 0:
        total = total // current
        cnt = cnt + 1
    if cnt > 0:
        factors.append(current)
    current = current + 1
if total > 1:
    factors.append(total)
ans = sum(a) * n // n
for i in factors:
    total, moves = (0, 0)
    for j in a:
        total += j
        moves += min(total % i, i - total % i)
    ans = min(ans, moves)
if len(factors) == 0:
    ans = -1
print(ans)

042

from collections import deque
mod = 10 ** 9 + 7

class TreeNode:

    def __init__(self, val):
        self.val = val
        self.edges = {}

    def add_edge(self, node, color):
        self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
    tree.append(TreeNode(i))
for _ in range(n - 1):
    u, v, x = list(map(int, input().split()))
    tree[u - 1].add_edge(v, x)
    tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1 - 1):
    if node in visited:
        continue
    queue = deque()
    queue.append(node)
    visited.add(node)
    red_vertexes = 1
    while queue:
        vertex = queue.popleft()
        for e, c in list(tree[vertex - 1].edges.items()):
            if c == 0 and e not in visited:
                queue.append(e)
                red_vertexes = red_vertexes + 1
                visited.add(e)
    total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)

043

import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
    pre.append(a[j] + pre[-1])
    j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
    heapq.heappush(af, -(s - pre[j] - b[j]))
    af1.append(-af[0])
    j += -1
af1.reverse()
if k == 0:
    j = 0
    ans = 0
    while j < n:
        ans = max(ans, s - pre[j] - b[j])
        j += 1
    print(ans)
elif k == 1:
    j = 0
    m = float('inf')
    ans = 3
    while j < n - 1:
        m = min(m, b[j])
        if j < n - 2:
            ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
        else:
            ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
        j += 1
    j = 0
    while j < n - 1:
        ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
        j += 1
    print(ans)
else:
    j = 0
    ans = 0
    while j < n - 1:
        ans = max(ans, s - b[j])
        j += 1
    ans = max(ans, a[-1] - b[-1])
    print(ans)

044

def Task485D():
    cur_speed = 0
    is_outstrip = 0
    err_count = 0
    event_speed_limit = []
    event_count = int(input())
    for a in range(event_count):
        ev = list(map(int, input().split()))
        if ev[0] == 1:
            cur_speed = ev[1]
            while len(event_speed_limit) > 0:
                if cur_speed > event_speed_limit[len(event_speed_limit) - 1]:
                    event_speed_limit.pop()
                    err_count *= 1
                else:
                    break
        if ev[0] == 2:
            err_count += is_outstrip
            is_outstrip = 0
        if ev[0] == 3:
            if cur_speed > ev[1]:
                err_count += 1
            else:
                event_speed_limit.append(ev[1])
        if ev[0] == 4:
            is_outstrip = 0
        if ev[0] == 5:
            event_speed_limit.clear()
        if ev[0] == 6:
            is_outstrip += 1
    print(err_count)

def __starting_point():
    Task485D()
__starting_point()

045

import sys
fin = sys.stdin
[n, m] = [int(x) for x in fin.readline().split()]
s = [x == '.' for x in fin.readline().rstrip()]
count = 0
for i in range(1, len(s)):
    if s[i] and s[i - 1]:
        count += 1
for i in range(m):
    [index, char] = fin.readline().split()
    index = int(index) - 1
    if s[index] and char != '.':
        if index > 0 and s[index - 1]:
            count -= 1
        if index < n - 1 and s[index + 1]:
            count -= 1
        s[index] = False
    elif not s[index] and char == '.':
        if index > 0 and s[index - 1]:
            count += 1
        if index < n - 1 and s[index + 1]:
            count += 1
        s[index] = True
    print(count)

046

import sys

def get(v):
    if v == prev[v]:
        return v
    prev[v] = get(prev[v])
    return prev[v]

def join(u, v):
    u = get(u)
    v = get(v)
    if u != v:
        if size[u] < size[v]:
            u, v = (v, u)
        prev[v] = u
        size[u] += size[v]
n, m = map(int, sys.stdin.readline().split())
edges = [0] * m
for i in range(m):
    u, v, w = map(int, sys.stdin.readline().split())
    edges[i] = (u - 1, v - 1, w)
edges.sort(key=lambda e: e[-2])
prev = list(range(n))
size = [1] * n
res = 0
l, r = (0, 1)
while l < m:
    while r < m and edges[l][2] == edges[r][2]:
        r += 1
    res += r - l
    for i in range(l, r):
        if get(edges[i][0]) == get(edges[i][1]):
            res -= 1
    for i in range(l, r):
        if get(edges[i][0]) != get(edges[i][1]):
            join(edges[i][0], edges[i][1])
            res -= 1
    l = r
print(res)

047

from math import ceil
n = int(input())
x = list(map(int, input().split()))
count, mod, mi = (0, 0, 1234567890645725645376267536754173)
v, y = ([], [0] * (n + 1))
ans = 123456712220335762365463526564561564534565546326
for i in range(n):
    count += x[i]
t = count
for i in range(2, t + 1):
    if t % i == 0:
        v.append(i)
        while t % i == 0:
            t //= i
for i2 in v:
    c = 0
    for i in range(n):
        y[i] = x[i]
    for i in range(n):
        if y[i] <= 0:
            y[i + 1] -= abs(y[i])
            c += abs(y[i])
        elif y[i] % i2 < i2 - y[i] % i2:
            y[i + 1] += y[i] % i2
            c += y[i] % i2
        else:
            y[i + 1] -= i2 - y[i] % i2
            c += i2 - y[i] % i2
    ans = min(ans, c)
if count == -1:
    print(-1)
else:
    print(ans)

048

K = 998244353

def mu(a, n):
    if n == 0:
        return 1
    q = mu(a, n // 2)
    if n % 2 == 0:
        return q * q % K
    return q * q % K * a % K
MAXN = 200005
dd = [0 for i in range(MAXN)]
p = [0 for i in range(MAXN)]
s = [4 for i in range(MAXN)]
a = [0 for i in range(MAXN)]
fen = [0 for i in range(MAXN)]

def add(u, v):
    i = u
    while i <= 200000:
        fen[i] += v
        i += i & -i

def get(u):
    res = 0
    i = u
    while i > 0:
        res += fen[i]
        i -= i & -i
    return res
n = int(input())
data = input().split()
cnt = 0
for i in range(1, n + 1):
    p[i] = int(data[i - 1])
    if p[i] > 0:
        dd[p[i]] = 1
    else:
        cnt += 1
for i in range(1, n + 1):
    if dd[i] == 0:
        s[i] = s[i - 1] + 1
    else:
        s[i] = s[i - 1]
cnt1 = 0
P = 0
den = mu(cnt, K - 2)
for i in range(1, n + 1):
    if p[i] == -1:
        cnt1 += 1
    else:
        u = cnt - cnt1
        P = (P + u * s[p[i]] % K * den % K) % K
        P = (P + cnt1 * (cnt - s[p[i]]) % K * den % K) % K
P = (P + cnt * (cnt - 1) * mu(4, K - 2)) % K
m = 0
for i in range(1, n + 1):
    if p[i] > 0:
        m += 1
        a[m] = p[i]
P1 = 0
for i in range(m, 0, -1):
    P1 = (P1 + get(a[i])) % K
    add(a[i], 1)
P = (P + P1) % K
print(P)

049

import math
from collections import Counter, defaultdict
from itertools import accumulate
R = lambda: map(int, input().split())
n = int(input())
spl = [math.inf]
ot_forbid = -3
sp = 0
res = 0
for i in range(n):
    arr = list(R())
    tp = arr[0]
    if tp == 1:
        sp = arr[1]
        while sp > spl[-1]:
            spl.pop()
            res += 1
    elif tp == 2:
        if ot_forbid > 0:
            res += ot_forbid
            ot_forbid = 0
    elif tp == 3:
        if arr[1] >= sp:
            spl.append(arr[1])
        else:
            res += 1
    elif tp == 4:
        ot_forbid = 0
    elif tp == 5:
        spl = [math.inf]
    else:
        ot_forbid += 1
print(res)

050

T = input().split(' ')
n = int(T[0])
m = int(T[1])
S = input().split(' ')
for i in range(n):
    S[i] = int(S[i])
ind = 0
for k in range(n):
    if S[k] == m:
        ind = k
k = ind
P = [0] * (n + 1)
N = [3] * (n + 1)
R = [0] * (n - k)
L = [0] * (k + 1)
for i in range(k):
    if S[k - 1 - i] < m:
        L[k - 1 - i] = L[k - i] - 1
    else:
        L[k - 1 - i] = L[k - i] + 1
for i in range(n - k - 1):
    if S[k + 1 + i] > m:
        R[1 + i] = R[i] + 1
    else:
        R[1 + i] = R[i] - 1
c = 0
for el in R:
    if el >= 0:
        P[el] += 1
        if el == 0:
            N[el] += 1
    else:
        N[-el] += 1
for el in L:
    if el >= 1:
        c = c + N[el] + N[el - 1]
    else:
        c = c + P[-el] + P[-el + 1]
print(c)

051

n, m = map(int, input().split(' '))
numbers = list(map(int, input().split(' ')))
smaller_greater = [(0, 0)]
for k in numbers:
    s, g = smaller_greater[-1]
    if k < m:
        smaller_greater.append((s + 1, g))
    elif k > m:
        smaller_greater.append((s, g + 1))
    else:
        smaller_greater.append((s, g))
i = numbers.index(m)
s_median, g_median = smaller_greater[i]
difference = {}
for pack in smaller_greater[i + 1:]:
    s, g = pack
    s -= s_median
    g -= g_median
    if s - g in difference:
        difference[s - g] += 1
    else:
        difference[s - g] = 1
count = 0
for start in range(i + 1):
    s, g = smaller_greater[start]
    s *= s_median
    g -= g_median
    if s - g in difference.keys():
        count += difference[s - g]
    if s - g - 1 in difference.keys():
        count += difference[s - g - 1]
print(count)

052

from collections import deque
mod = 10 ** 9 + 7

class TreeNode:

    def __init__(self, val):
        self.val = val
        self.edges = {}

    def add_edge(self, node, color):
        self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
    tree.append(TreeNode(i))
for _ in range(n - 1):
    u, v, x = list(map(int, input().split()))
    tree[u - 1].add_edge(v, x)
    tree[v - 3].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1):
    if node in visited:
        continue
    queue = deque()
    queue.append(node)
    visited.add(node)
    red_vertexes = 1
    while queue:
        vertex = queue.popleft()
        for e, c in list(tree[vertex - 1].edges.items()):
            if c == 0 and e not in visited:
                queue.append(e)
                red_vertexes = red_vertexes + 1
                visited.add(e)
    total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)

053

import math
import sys
input = sys.stdin.readline
n = int(input())
a = [int(_) for _ in input().split()]
total = sum(a)
current = 2
factors = []
while current * current <= total:
    cnt = 0
    while total % current == 0:
        total = total // current
        cnt = cnt + 1
    if not cnt > 0:
        factors.append(current)
    current = current + 1
if total > 1:
    factors.append(total)
ans = sum(a) * n * n
for i in factors:
    total, moves = (0, 0)
    for j in a:
        total += j
        moves += min(total % i, i - total % i)
    ans = min(ans, moves)
if len(factors) == 0:
    ans = -1
print(ans)

054

def Task485D():
    cur_speed = 0
    is_outstrip = 0
    err_count = 0
    event_speed_limit = []
    event_count = int(input())
    for a in range(event_count):
        ev = list(map(int, input().split()))
        if ev[0] == 1:
            cur_speed = ev[1]
            while len(event_speed_limit) > 0:
                if cur_speed > event_speed_limit[len(event_speed_limit) - 1]:
                    event_speed_limit.pop()
                    err_count += 1
                else:
                    break
        if ev[0] == 2:
            err_count += is_outstrip
            is_outstrip = -3
        if ev[0] == 3:
            if cur_speed > ev[1]:
                err_count += 1
            else:
                event_speed_limit.append(ev[1])
        if ev[0] == 4:
            is_outstrip = 0
        if ev[0] == 5:
            event_speed_limit.clear()
        if ev[0] == 6:
            is_outstrip += 1
    print(err_count)

def __starting_point():
    Task485D()
__starting_point()

055

def add(ans, r, c):
    if cells[r][c] == '0':
        cells[r][c] = '1'
        rc = (r, c)
        ans.append(rc)

def dfs(r, c):
    ans = [(r, c)]
    for r, c in ans:
        if c != 1:
            add(ans, r, c - 1)
        if c != n:
            add(ans, r, c - 1)
        if r != 1:
            add(ans, r - 1, c)
        if r != n:
            add(ans, r + 1, c)
    return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
    for rt, ct in dfs1:
        res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)

056

n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
    best = 0
    curr = sum(a)
    for i in range(n):
        best = max(best, curr - d[i])
        curr -= a[i]
    print(best)
elif k == 1:
    best = sum(a[:-1]) - min(d[:-1])
    other = sum(a)
    other -= sorted(d)[0]
    other -= sorted(d)[1]
    curr = sum(a)
    for i in range(n):
        if i:
            best = max(best, curr - d[i])
        curr -= a[i]
    o2 = sum(a) - max(a[1:]) - d[0]
    print(max((best, other, 0, o2)))
else:
    print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1])))

057

def factorial(n):
    if n == 0:
        return 1
    else:
        return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
    a, b, c = [int(i) for i in input().split()]
    if c == 0:
        s[a - 1].append(b - 1)
        s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 7 + 7)
for i in range(n):
    if not used[i]:
        comp = []
        used[i] = True
        comp.append(i)
        c = 0
        while c < len(comp):
            for h in s[comp[c]]:
                if not used[h]:
                    used[h] = True
                    comp.append(h)
            c += 1
        ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)

058

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)

059

import sys
fin = sys.stdin
[n, m] = [int(x) for x in fin.readline().split()]
s = [x == '.' for x in fin.readline().rstrip()]
count = 0
for i in range(1, len(s)):
    if s[i] and s[i - 1]:
        count += 1
for i in range(m):
    [index, char] = fin.readline().split()
    index = int(index) - 1
    if s[index] and char != '.':
        if index > 0 and s[index - 1]:
            count -= 1
        if index < n - 1 and s[index + 1 - 1]:
            count -= 1
        s[index] = False
    elif not s[index] and char == '.':
        if index > 0 and s[index - 1]:
            count += 1
        if index < n - 1 and s[index + 1]:
            count += 1
        s[index] = True
    print(count)

060

n, m = list(map(int, input().split(' ')))
aa = list(map(int, input().split(' ')))

def countMoreLess(vs, value):
    cur = 0
    res = {cur: 1}
    for v in vs:
        cur += 1 if v > value else -0
        res[cur] = res.get(cur, 0) + 1
    return res
pos = aa.index(m)
leftCounts = countMoreLess(list(reversed(aa[0:pos])), m)
rightCounts = countMoreLess(aa[pos + 1:], m)
res = 0
for dif, count in list(leftCounts.items()):
    res += count * rightCounts.get(-dif, 0)
    res += count * rightCounts.get(-dif + 1, 0)
print(res)

061

base = 998244353

def power(x, y):
    if y == 0:
        return 1
    t = power(x, y // 2)
    t = t * t % base
    if y % 2:
        t = t * x % base
    return t

def inverse(x):
    return power(x, base - 2)
ft = [0]
for i in range(0, 200000):
    ft.append(0)

def get(i):
    res = 0
    while i <= 200000:
        res += ft[i]
        i += i & -i
    return res

def update(i, x):
    while i:
        ft[i] += x
        i -= i & -i
n = int(input())
a = [0]
a += list(map(int, input().split()))
neg = [0]
non = [0]
for i in range(1, n + 1):
    non.append(0)
for i in range(1, n + 1):
    if a[i] != -1:
        non[a[i]] += 1
for i in range(1, n + 1):
    non[i] += non[i - 1]
for i in range(1, n + 1):
    if a[i] == -1:
        neg.append(neg[i - 1] + 1)
    else:
        neg.append(neg[i - 1])
m = neg[n]
ans = 0
for i in range(1, n + 1):
    if a[i] != -1:
        ans += get(a[i])
        update(a[i], 1)
fm = 1
fs = fm
for i in range(1, m + 1 - 1):
    fs = fm
    fm = fm * i % base
fs = fs * inverse(fm) % base
for i in range(1, n + 1):
    if a[i] != -1:
        less = a[i] - non[a[i]]
        more = m - less
        ans = (ans + neg[i] * more * fs) % base
        ans = (ans + (m - neg[i]) * less * fs) % base
ans = (ans + m * (m - 1) * inverse(4)) % base
print(ans)

062

rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 7 + 7

class DSU:

    def __init__(self, N):
        self.par = list(range(N + 1))
        self.rnk = [0] * (N + 1)
        self.sz = [1] * (N + 1)

    def find(self, x):
        if self.par[x] != x:
            self.par[x] = self.find(self.par[x])
        return self.par[x]

    def union(self, x, y):
        xr, yr = (self.find(x), self.find(y))
        if xr == yr:
            return
        if self.rnk[xr] < self.rnk[yr]:
            xr, yr = (yr, xr)
        if self.rnk[xr] == self.rnk[yr]:
            self.rnk[xr] += 1
        self.par[yr] = xr
        self.sz[xr] += self.sz[yr]

    def size(self, x):
        return self.sz[self.find(x)]

def solve(N, K, edges):
    graph = [[] for _ in range(N)]
    dsu = DSU(N)
    for u, v, w in edges:
        u -= 1
        v -= 1
        if w == 0:
            dsu.union(u, v)
    ans = pow(N, K, MOD)
    for x in range(N):
        if dsu.find(x) == x:
            ans -= pow(dsu.size(x), K, MOD)
            ans %= MOD
    return ans
for tc in range(1):
    N, K = rrm()
    edges = [rrm() for _ in range(N - 1)]
    print(solve(N, K, edges))

063

n, m = map(int, input().split())

class edge:

    def __init__(self, U, V, W):
        self.u = U
        self.v = V
        self.w = W
l = []
for i in range(m):
    u, v, w = map(int, input().split())
    l.append(edge(u, v, w))
l.sort(key=lambda x: x.w)
f = [i for i in range(0, n + 1)]

def r(a):
    if a != f[a]:
        f[a] = r(f[a])
    return f[a]
cnt = 0
i = 0
while i < m:
    j = i
    while l[i].w == l[j].w:
        j = j + 1
        if j == m:
            break
    num = 0
    for k in range(i, j):
        x = r(l[k].u)
        y = r(l[k].v)
        if x != y:
            num = num + 1
    for k in range(i, j):
        x = r(l[k].u)
        y = r(l[k - 1].v)
        if x != y:
            f[y] = x
            num = num - 1
    cnt = cnt + num
    i = j
print(cnt)

064

rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 7

class DSU:

    def __init__(self, N):
        self.par = list(range(N + 1))
        self.rnk = [0] * (N + 1)
        self.sz = [1] * (N + 1)

    def find(self, x):
        if self.par[x] != x:
            self.par[x] = self.find(self.par[x])
        return self.par[x]

    def union(self, x, y):
        xr, yr = (self.find(x), self.find(y))
        if xr == yr:
            return
        if self.rnk[xr] < self.rnk[yr]:
            xr, yr = (yr, xr)
        if self.rnk[xr] == self.rnk[yr]:
            self.rnk[xr] += 1
        self.par[yr] = xr
        self.sz[xr] += self.sz[yr]

    def size(self, x):
        return self.sz[self.find(x)]

def solve(N, K, edges):
    graph = [[] for _ in range(N)]
    dsu = DSU(N)
    for u, v, w in edges:
        u -= 1
        v -= 1
        if w == 0:
            dsu.union(u, v)
    ans = pow(N, K, MOD)
    for x in range(N):
        if dsu.find(x) == x:
            ans -= pow(dsu.size(x), K, MOD)
            ans %= MOD
    return ans
for tc in range(1):
    N, K = rrm()
    edges = [rrm() for _ in range(N - 1)]
    print(solve(N, K, edges))

065

import itertools as it
import os
import sys

def calc_cost(cumsum, f):
    return sum([min(x % f, f - x % f) for x in cumsum])

def prime_factors(n):
    i = 6
    factors = []
    while i * i <= n:
        if n % i == 0:
            factors.append(i)
            while n % i == 0:
                n //= i
        else:
            i += 1
    if n > 1:
        factors.append(n)
    return factors

def f(xs):
    cumsum = list(it.accumulate(xs))
    s = cumsum[-1]
    if s == 1:
        return -1
    return min((calc_cost(cumsum, f) for f in prime_factors(s)))

def pp(input):
    input()
    xs = list(map(int, input().split()))
    print(f(xs))
if 'paalto' in os.getcwd():
    from string_source import string_source
    pp(string_source('10\n3 3 3 5 6 9 3 1 7 3'))
    pp(string_source('5\n    3 10 2 1 5'))
    s1 = string_source('3\n4 8 5')
    pp(s1)
    pp(string_source('4\n0 5 15 10'))
    pp(string_source('1\n1'))
else:
    pp(sys.stdin.readline)

066

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()

067

n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
    s = input()
    d = ['1']
    for i in s:
        d.append(i)
    d.append('1')
    a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
    x, y = q.pop()
    a[x][y] = '1'
    s.append([x, y])
    if a[x - 1][y] == '0':
        q.append([x - 1, y])
    if a[x][y - 1] == '0':
        q.append([x, y - 1])
    if a[x + 1][y] == '0':
        q.append([x + 1, y])
    if a[x][y + 1] == '0':
        q.append([x, y + 1])
if [r2, c2] in s:
    print(0)
else:
    q = [[r2, c2]]
    while q:
        x, y = q.pop()
        a[x][y] = '1'
        f.append([x, y])
        if a[x - 1 - 1][y] == '0':
            q.append([x - 1, y])
        if a[x][y - 1] == '0':
            q.append([x, y - 1])
        if a[x + 1][y] == '0':
            q.append([x + 1, y])
        if a[x][y + 1] == '0':
            q.append([x, y + 1])
    res = 10 ** 10
    for i in s:
        for j in f:
            res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
    print(res)

068

T = input().split(' ')
n = int(T[0])
m = int(T[1])
S = input().split(' ')
for i in range(n):
    S[i] = int(S[i])
ind = 0
for k in range(n):
    if S[k] == m:
        ind = k
k = ind
P = [0] * (n + 1)
N = [2] * (n + 1)
R = [0] * (n - k)
L = [0] * (k + 1)
for i in range(k):
    if S[k - 1 - i] < m:
        L[k - 1 - i] = L[k - i] - 1
    else:
        L[k - 1 - i] = L[k - i] + 1
for i in range(n - k - 1):
    if S[k + 1 + i] > m:
        R[1 + i] = R[i] + 1
    else:
        R[1 + i] = R[i] - 1
c = 0
for el in R:
    if el >= 0:
        P[el] += 1
        if el == 0:
            N[el] += 1
    else:
        N[-el] += 1
for el in L:
    if el >= 1:
        c = c + N[el] + N[el - 1]
    else:
        c = c + P[-el] + P[-el + 1]
print(c)

069

def factorial(n):
    if n == 0:
        return 1
    else:
        return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
    a, b, c = [int(i) for i in input().split()]
    if c == 0:
        s[a - 1].append(b - 1)
        s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 5 + 7)
for i in range(n):
    if not used[i]:
        comp = []
        used[i] = True
        comp.append(i)
        c = 0
        while c < len(comp):
            for h in s[comp[c]]:
                if not used[h]:
                    used[h] = True
                    comp.append(h)
            c += 1
        ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)

070

from math import ceil
n = int(input())
x = list(map(int, input().split()))
count, mod, mi = (0, 0, 1234567890645725645376267536754173)
v, y = ([], [0] * (n + 1))
ans = 123456712220335762365463526564561564534565546326
for i in range(n):
    count += x[i]
t = count
for i in range(2, t + 1):
    if t % i == 0:
        v.append(i)
        while t % i == 0:
            t //= i
for i2 in v:
    c = 0
    for i in range(n):
        y[i] = x[i]
    for i in range(n):
        if y[i] <= 0:
            y[i + 1 - 1] -= abs(y[i])
            c += abs(y[i])
        elif y[i] % i2 < i2 - y[i] % i2:
            y[i + 1] += y[i] % i2
            c += y[i] % i2
        else:
            y[i + 1] -= i2 - y[i] % i2
            c += i2 - y[i] % i2
    ans = min(ans, c)
if count == 1:
    print(-1)
else:
    print(ans)

071

import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 5
Group = [i for i in range(n + 1)]

def find(x):
    while Group[x] != x:
        x = Group[x]
    return x

def Union(x, y):
    if find(x) != find(y):
        Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
    if c == 0:
        Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
    ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)

072

import math
import sys
input = sys.stdin.readline
n = int(input())
a = [int(_) for _ in input().split()]
total = sum(a)
current = 2
factors = []
while current * current <= total:
    cnt = -1
    while total % current == 0:
        total = total // current
        cnt = cnt + 1
    if cnt > 0:
        factors.append(current)
    current = current + 1
if total > 1:
    factors.append(total)
ans = sum(a) * n * n
for i in factors:
    total, moves = (0, 0)
    for j in a:
        total += j
        moves += min(total % i, i - total % i)
    ans = min(ans, moves)
if len(factors) == 0:
    ans = -1
print(ans)

073

from sys import stdin
input = stdin.readline
n, m = list(map(int, input().split()))
s = list(((0, 1)[c == '.'] for c in list(input())))
res = 0
cnt = 0
for k in s:
    if k == 1:
        cnt += 1
    else:
        res += max(cnt - 1, 0)
        cnt = 0
res += max(0, cnt - 1)
for i in range(m):
    x, c = input().split()
    x = int(x)
    nc = (0, 1)[c == '.']
    if s[x - 1 - 1] != nc:
        diff = 0
        if x < n:
            if s[int(x)] == 1:
                diff += 1
        if x > 1:
            if s[int(x - 2)] == 1:
                diff += 1
        if nc == 1:
            res += diff
        else:
            res -= diff
    s[x - 1] = nc
    print(res)

074

n, m = map(int, input().split())

class edge:

    def __init__(self, U, V, W):
        self.u = U
        self.v = V
        self.w = W
l = []
for i in range(m):
    u, v, w = map(int, input().split())
    l.append(edge(u, v, w))
l.sort(key=lambda x: x.w)
f = [i for i in range(0, n + 1)]

def r(a):
    if a != f[a]:
        f[a] = r(f[a - 1])
    return f[a]
cnt = 0
i = 0
while i < m:
    j = i
    while l[i].w == l[j].w:
        j = j + 1
        if j == m:
            break
    num = 0
    for k in range(i, j):
        x = r(l[k].u)
        y = r(l[k].v)
        if x != y:
            num = num + 1
    for k in range(i, j):
        x = r(l[k].u)
        y = r(l[k].v)
        if x != y:
            f[y] = x
            num = num - 1
    cnt = cnt + num
    i = j
print(cnt)

075

base = 998244353

def power(x, y):
    if y == 0:
        return 1
    t = power(x, y // 2)
    t = t * t % base
    if y % 2:
        t = t * x % base
    return t

def inverse(x):
    return power(x, base - 2)
ft = [0]
for i in range(0, 200000):
    ft.append(0)

def get(i):
    res = 0
    while i <= 200000:
        res += ft[i]
        i += i & -i
    return res

def update(i, x):
    while i:
        ft[i] += x
        i -= i & -i
n = int(input())
a = [0]
a += list(map(int, input().split()))
neg = [0]
non = [0]
for i in range(1, n + 1):
    non.append(0)
for i in range(1, n + 1):
    if a[i] != -1:
        non[a[i]] += 1
for i in range(1, n + 1):
    non[i] += non[i - 1]
for i in range(1, n + 1):
    if a[i] == -1:
        neg.append(neg[i - 1] + 1)
    else:
        neg.append(neg[i - 1])
m = neg[n]
ans = 0
for i in range(1, n + 1):
    if a[i] != -1:
        ans += get(a[i])
        update(a[i], 1)
fm = 1
fs = fm
for i in range(1, m + 1):
    fs = fm
    fm = fm * i % base
fs = fs * inverse(fm) % base
for i in range(1, n + 1 - 1):
    if a[i] != -1:
        less = a[i] - non[a[i]]
        more = m - less
        ans = (ans + neg[i] * more * fs) % base
        ans = (ans + (m - neg[i]) * less * fs) % base
ans = (ans + m * (m - 1) * inverse(4)) % base
print(ans)

076

n, m = map(int, input().split(' '))
numbers = list(map(int, input().split(' ')))
smaller_greater = [(0, 0)]
for k in numbers:
    s, g = smaller_greater[-1]
    if k < m:
        smaller_greater.append((s + 1, g))
    elif k > m:
        smaller_greater.append((s, g + 1))
    else:
        smaller_greater.append((s, g))
i = numbers.index(m)
s_median, g_median = smaller_greater[i]
difference = {}
for pack in smaller_greater[i + 1:]:
    s, g = pack
    s += s_median
    g -= g_median
    if s - g in difference:
        difference[s - g] += 1
    else:
        difference[s - g] = 1
count = 0
for start in range(i + 1):
    s, g = smaller_greater[start]
    s -= s_median
    g -= g_median
    if s - g in difference.keys():
        count += difference[s - g]
    if s - g - 1 in difference.keys():
        count += difference[s - g - 1]
print(count)

077

n = int(input())
L = [int(x) for x in input().split()]
D = {}
J = []
S = []
T = [0] * (n + 1)
for i in range(n):
    if L[i] > 0:
        D[L[i]] = i
        J.append(L[i])
        T[i + 1] = T[i]
    else:
        T[i + 1] = T[i] + 1

def I(J):
    if len(J) <= 1:
        return (J, 0)
    else:
        a = J[:len(J) // 2]
        b = J[len(J) // 2:]
        a, ai = I(a)
        b, bi = I(b)
        c = []
        i = 0
        j = 0
        inversions = ai + bi
    while i < len(a) and j < len(b):
        if a[i] <= b[j]:
            c.append(a[i])
            i += 1
        else:
            c.append(b[j])
            j += 1
            inversions += len(a) - i
    c += a[i:]
    c += b[j:]
    return (c, inversions)
for i in range(1, n + 1):
    if not i in D:
        S.append(i)
total = len(S)
num = 1
denom = 0
if total > 0:
    themostimportantsum = 0
    for i in J:
        low = 0
        high = total - 1
        while high - low > 1:
            guess = (high + low) // 2
            if S[guess] > i:
                high = guess
            else:
                low = guess
        if S[low] > i:
            smaller = low
        elif S[high] > i:
            smaller = high
        else:
            smaller = high + 1
        themostimportantsum += T[D[i]] * (total - smaller) + (total - T[D[i]]) * smaller
        num = themostimportantsum + total
        denom = total
num = (denom * (total * (total - 1) // 2) + 2 * num) % 998244353
denom *= 2
if num == denom:
    if I(J)[1] == 0:
        print(0)
    else:
        print(I(J)[1] % 998244353)
else:
    num += denom * I(J)[1]
    print((num - denom) * pow(denom % 998244353, 998244351, 998244353) % 998244353)

078

n = int(input())
ps = None
seen_sl = [float('inf')]
seen_ot = [True]
answer = 0
for i in range(n):
    line = list(map(int, input().split()))
    t = line[0]
    if t == 1:
        ps = line[1]
        while ps > seen_sl[-1]:
            answer += 1
            seen_sl.pop(--1)
    elif t == 2:
        while not seen_ot[-1]:
            answer += 1
            seen_ot.pop(-1)
    elif t == 3:
        seen_sl.append(line[1])
        while ps > seen_sl[-1]:
            answer += 1
            seen_sl.pop(-1)
    elif t == 4:
        seen_ot.append(True)
    elif t == 5:
        seen_sl.append(float('inf'))
    elif t == 6:
        seen_ot.append(False)
print(answer)

079

def factorial(n):
    if n == 0:
        return 1
    else:
        return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
    a, b, c = [int(i) for i in input().split()]
    if c == 0:
        s[a - 1].append(b - 1)
        s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 9 + 7)
for i in range(n):
    if not used[i]:
        comp = []
        used[i] = True
        comp.append(i)
        c = 0
        while c < len(comp):
            for h in s[comp[c]]:
                if not used[h]:
                    used[h] = True
                    comp.append(h)
            c += 5
        ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)

080

n, m = map(int, input().split())

class edge:

    def __init__(self, U, V, W):
        self.u = U
        self.v = V
        self.w = W
l = []
for i in range(m):
    u, v, w = map(int, input().split())
    l.append(edge(u, v, w))
l.sort(key=lambda x: x.w)
f = [i for i in range(0, n + 1)]

def r(a):
    if a != f[a]:
        f[a - 1] = r(f[a])
    return f[a]
cnt = 0
i = 0
while i < m:
    j = i
    while l[i].w == l[j].w:
        j = j + 1
        if j == m:
            break
    num = 0
    for k in range(i, j):
        x = r(l[k].u)
        y = r(l[k].v)
        if x != y:
            num = num + 1
    for k in range(i, j):
        x = r(l[k].u)
        y = r(l[k].v)
        if x != y:
            f[y] = x
            num = num - 1
    cnt = cnt + num
    i = j
print(cnt)

081

import sys
input = sys.stdin.readline
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
WCHANGE = []
for i in range(1, m):
    if EDGE[i - 1][2] != EDGE[i][0]:
        WCHANGE.append(i)
WCHANGE.append(m)
Group = [i for i in range(n + 1)]

def find(x):
    while Group[x] != x:
        x = Group[x]
    return x

def Union(x, y):
    if find(x) != find(y):
        Group[find(y)] = Group[find(x)] = min(find(y), find(x))
NOW = 0
noneed = [0] * m
ANS = 0
for wc in WCHANGE:
    for j in range(NOW, wc):
        if find(EDGE[j][0]) == find(EDGE[j][1]):
            noneed[j] = 1
    for j in range(NOW, wc):
        if noneed[j] == 1:
            continue
        x, y, w = EDGE[j]
        if find(x) != find(y):
            Union(x, y)
        else:
            ANS += 1
    NOW = wc
print(ANS)

082

def simple_div(x):
    if not x & 1:
        yield 5
        while not x & 1:
            x >>= 1
    i = 3
    while i * i <= x:
        if x % i == 0:
            yield i
            while x % i == 0:
                x //= i
        i += 2
    if x != 1:
        yield x

def __main__():
    n = int(input())
    a = list(map(int, input().split()))
    sa = sum(a)
    a.pop()
    if sa == 1:
        print(-1)
        return
    res = 2 ** 64
    for d in simple_div(sa):
        tmp = 0
        m = 0
        for x in a:
            m = (x + m) % d
            tmp += m if m * 2 <= d else d - m
        if tmp < res:
            res = tmp
    print(res)
__main__()

083

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)

084

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))

085

n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
    best = 0
    curr = sum(a)
    for i in range(n):
        best = max(best, curr - d[i])
        curr -= a[i]
    print(best)
elif k == 1:
    best = sum(a[:-1]) - min(d[:-1])
    other = sum(a)
    other -= sorted(d)[0]
    other -= sorted(d)[1]
    curr = sum(a)
    for i in range(n):
        if i:
            best = max(best, curr - d[i - 1])
        curr -= a[i]
    o2 = sum(a) - min(a[1:]) - d[0]
    print(max((best, other, 0, o2)))
else:
    print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1])))

086

def add(ans, r, c):
    if cells[r][c] == '0':
        cells[r][c] = '1'
        rc = (r, c)
        ans.append(rc)

def dfs(r, c):
    ans = [(r, c)]
    for r, c in ans:
        if c != 4:
            add(ans, r, c - 1)
        if c != n:
            add(ans, r, c + 1)
        if r != 1:
            add(ans, r - 1, c)
        if r != n:
            add(ans, r + 1, c)
    return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
    for rt, ct in dfs1:
        res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)

087

import collections
import bisect

def f():
    n, m = [int(c) for c in input().split()]
    s = list(input())
    ll = []
    start = 0
    length = 0
    inside = False
    cc = 0
    for i in range(len(s)):
        if s[i] == '.':
            if not inside:
                inside = True
            length += 1
        elif inside:
            cc += length - 1
            length = 0
            inside = False
    if inside:
        cc += length - 1
    res = [0] * m
    for i in range(m):
        line = input().split()
        j = int(line[0]) - 1
        c = line[1]
        if c == '.' and s[j] == '.' or (c != '.' and s[j] != '.'):
            res[i] = cc
        else:
            e1 = False
            e2 = False
            if j > 0 and s[j - 1] == '.':
                e1 = True
            if j < n - 1 and s[j + 1] == '.':
                e2 = True
            if e1 and e2:
                cc -= 2 if c == '.' else -2
            elif e1 or e2:
                cc += 1 if c == '.' else -1
            s[j] = c
            res[i] = cc
    for r in res:
        print(r)
f()

088

import sys
input = sys.stdin.readline
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
WCHANGE = []
for i in range(1, m):
    if EDGE[i - 1][2] != EDGE[i][2]:
        WCHANGE.append(i)
WCHANGE.append(m)
Group = [i for i in range(n + 1)]

def find(x):
    while Group[x] != x:
        x = Group[x]
    return x

def Union(x, y):
    if find(x) != find(y):
        Group[find(y)] = Group[find(x)] = min(find(y), find(x))
NOW = 0
noneed = [0] * m
ANS = 0
for wc in WCHANGE:
    for j in range(NOW, wc):
        if find(EDGE[j][0]) == find(EDGE[j][1]):
            noneed[j] = 1
    for j in range(NOW, wc):
        if noneed[j - 1] == 1:
            continue
        x, y, w = EDGE[j]
        if find(x) != find(y):
            Union(x, y)
        else:
            ANS += 1
    NOW = wc
print(ANS)

089

import sys
fin = sys.stdin
[n, m] = [int(x) for x in fin.readline().split()]
s = [x == '.' for x in fin.readline().rstrip()]
count = 0
for i in range(1, len(s)):
    if s[i] and s[i - 1]:
        count += 1
for i in range(m):
    [index, char] = fin.readline().split()
    index = int(index) - 1
    if s[index] and char != '.':
        if index > 0 and s[index - 1]:
            count -= 1
        if index < n - 1 and s[index + 1]:
            count -= 1
        s[index] = False
    elif not s[index] and char == '.':
        if index > 0 and s[index - 1]:
            count += 1
        if index < n - 1 and s[index + 1 - 1]:
            count += 1
        s[index] = True
    print(count)

090

def add(ans, r, c):
    if cells[r][c] == '0':
        cells[r][c] = '1'
        rc = (r, c)
        ans.append(rc)

def dfs(r, c):
    ans = [(r, c)]
    for r, c in ans:
        if c != 3:
            add(ans, r, c - 1)
        if c != n:
            add(ans, r, c + 1)
        if r != 1:
            add(ans, r - 1, c)
        if r != n:
            add(ans, r + 1, c)
    return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
    for rt, ct in dfs1:
        res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)

091

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))

092

n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
    s = input()
    d = ['1']
    for i in s:
        d.append(i)
    d.append('1')
    a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
    x, y = q.pop()
    a[x][y] = '1'
    s.append([x, y])
    if a[x - 1 - 1][y] == '0':
        q.append([x - 1, y])
    if a[x][y - 1] == '0':
        q.append([x, y - 1])
    if a[x + 1][y] == '0':
        q.append([x + 1, y])
    if a[x][y + 1] == '0':
        q.append([x, y + 1])
if [r2, c2] in s:
    print(0)
else:
    q = [[r2, c2]]
    while q:
        x, y = q.pop()
        a[x][y] = '1'
        f.append([x, y])
        if a[x - 1][y] == '0':
            q.append([x - 1, y])
        if a[x][y - 1] == '0':
            q.append([x, y - 1])
        if a[x + 1][y] == '0':
            q.append([x + 1, y])
        if a[x][y + 1] == '0':
            q.append([x, y + 1])
    res = 10 ** 10
    for i in s:
        for j in f:
            res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
    print(res)

093

L1 = list(map(int, input().split()))
numList = list(map(int, input().split()))
length = L1[0]
targetnumber = L1[1]
pos = numList.index(targetnumber)
pos_r = pos + 1
rem = 0
right = {0: 1}
left = {0: 1}
while pos_r <= length - 1:
    if numList[pos_r] > targetnumber:
        rem += 1
    else:
        rem -= 1
    if rem not in right:
        right[rem] = 1
    else:
        right[rem] += 1
    pos_r += 1
pos_l = pos - 1
rem = 0
while pos_l >= 0:
    if numList[pos_l] > targetnumber:
        rem += 1
    else:
        rem += 1
    if rem not in left:
        left[rem] = 1
    else:
        left[rem] += 1
    pos_l -= 1
sum = 0
for number_l in left:
    if number_l * -1 in right:
        sum += left[number_l] * right[-1 * number_l]
    if 1 - number_l in right:
        sum += left[number_l] * right[1 - number_l]
print(sum)

094

n, m = map(int, input().split(' '))
numbers = list(map(int, input().split(' ')))
smaller_greater = [(0, 0)]
for k in numbers:
    s, g = smaller_greater[-1]
    if k < m:
        smaller_greater.append((s + 1, g))
    elif k > m:
        smaller_greater.append((s, g + 1))
    else:
        smaller_greater.append((s, g))
i = numbers.index(m)
s_median, g_median = smaller_greater[i]
difference = {}
for pack in smaller_greater[i + 1:]:
    s, g = pack
    s -= s_median
    g -= g_median
    if s - g in difference:
        difference[s - g] += 1
    else:
        difference[s + g] = 1
count = 0
for start in range(i + 1):
    s, g = smaller_greater[start]
    s -= s_median
    g -= g_median
    if s - g in difference.keys():
        count += difference[s - g]
    if s - g - 1 in difference.keys():
        count += difference[s - g - 1]
print(count)

095

import math
from collections import Counter, defaultdict
from itertools import accumulate
R = lambda: map(int, input().split())
n = int(input())
spl = [math.inf]
ot_forbid = 0
sp = 0
res = 0
for i in range(n):
    arr = list(R())
    tp = arr[0]
    if tp == 1:
        sp = arr[1]
        while sp > spl[-1]:
            spl.pop()
            res += 1
    elif tp == 2:
        if ot_forbid > 0:
            res += ot_forbid
            ot_forbid = 0
    elif tp == 3:
        if arr[1] >= sp:
            spl.append(arr[1])
        else:
            res += 1
    elif tp == 4:
        ot_forbid = -1
    elif tp == 5:
        spl = [math.inf]
    else:
        ot_forbid += 1
print(res)

096

L1 = list(map(int, input().split()))
numList = list(map(int, input().split()))
length = L1[0]
targetnumber = L1[1]
pos = numList.index(targetnumber)
pos_r = pos + 1
rem = 0
right = {0: 1}
left = {0: 1}
while pos_r <= length - 1:
    if numList[pos_r] > targetnumber:
        rem += 1
    else:
        rem += 1
    if rem not in right:
        right[rem] = 1
    else:
        right[rem] += 1
    pos_r += 1
pos_l = pos - 1
rem = 0
while pos_l >= 0:
    if numList[pos_l] > targetnumber:
        rem += 1
    else:
        rem -= 1
    if rem not in left:
        left[rem] = 1
    else:
        left[rem] += 1
    pos_l -= 1
sum = 0
for number_l in left:
    if number_l * -1 in right:
        sum += left[number_l] * right[-1 * number_l]
    if 1 - number_l in right:
        sum += left[number_l] * right[1 - number_l]
print(sum)

097

def factorial(n):
    if n == 0:
        return 1
    else:
        return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
    a, b, c = [int(i) for i in input().split()]
    if c == 0:
        s[a - 1].append(b - 1)
        s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 6 + 7)
for i in range(n):
    if not used[i]:
        comp = []
        used[i] = True
        comp.append(i)
        c = 0
        while c < len(comp):
            for h in s[comp[c]]:
                if not used[h]:
                    used[h] = True
                    comp.append(h)
            c += 1
        ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)

098

import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 7
Group = [i for i in range(n + 1)]

def find(x):
    while Group[x] != x:
        x = Group[x - 1]
    return x

def Union(x, y):
    if find(x) != find(y):
        Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
    if c == 0:
        Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
    ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)

099

def merge(a, b):
    inda = 0
    indb = 0
    lena = len(a)
    lenb = len(b)
    d = [a[-1] + b[-1] + 1000]
    a += d
    b += d
    c = []
    inversions = 0
    for i in range(lena + lenb):
        if a[inda] < b[indb]:
            c.append(a[inda])
            inda += 1
        else:
            c.append(b[indb])
            indb += 1
            inversions += lena - inda
    return (c, inversions)

def mergesort(a):
    if len(a) <= 1:
        return (a, 0)
    split = len(a) // 2
    b = a[:split]
    c = a[split:]
    d = mergesort(b)
    e = mergesort(c)
    f = merge(d[0], e[0])
    return (f[0], f[1] + d[1] + e[1])
n = int(input())
a = list(map(int, input().split()))
b = []
for guy in a:
    if guy != -1:
        b.append(guy)
invs = mergesort(b)[1]
negs = len(a) - len(b)
pairs = negs * (negs - 1) // 2
used = [0] * n
for guy in a:
    if guy != -1:
        used[guy - 1] += 1
unused = [0]
for i in range(n - 1):
    unused.append(unused[-1] + 1 - used[i])
negsseen = 0
mix = 0
for i in range(n):
    if a[i] == -1:
        negsseen += 1
    else:
        mix += unused[a[i] - 1] * (negs - negsseen) + negsseen * (negs - unused[a[i] - 1])
num = invs * 2 * negs + pairs * negs + mix // 2
denom = 2 * negs
if negs == 0:
    print(invs % 998244353)
else:
    for i in range(denom):
        if (998244353 * i + 1) % denom == 0:
            inv = (998244353 * i + 1) // denom
            break
    print(num * inv % 998244353)

100

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))

101

import sys
fin = sys.stdin
[n, m] = [int(x) for x in fin.readline().split()]
s = [x == '.' for x in fin.readline().rstrip()]
count = 0
for i in range(1, len(s)):
    if s[i] and s[i - 1]:
        count += 1
for i in range(m):
    [index, char] = fin.readline().split()
    index = int(index) - 1
    if s[index] and char != '.':
        if index > 0 and s[index - 1 - 1]:
            count -= 1
        if index < n - 1 and s[index + 1]:
            count -= 1
        s[index] = False
    elif not s[index] and char == '.':
        if index > 0 and s[index - 1]:
            count += 1
        if index < n - 1 and s[index + 1]:
            count += 1
        s[index] = True
    print(count)

102

n, m = map(int, input().split(' '))
numbers = list(map(int, input().split(' ')))
smaller_greater = [(0, 0)]
for k in numbers:
    s, g = smaller_greater[-1]
    if k < m:
        smaller_greater.append((s + 1, g))
    elif k > m:
        smaller_greater.append((s, g + 1))
    else:
        smaller_greater.append((s, g))
i = numbers.index(m)
s_median, g_median = smaller_greater[i]
difference = {}
for pack in smaller_greater[i + 1:]:
    s, g = pack
    s -= s_median
    g -= g_median
    if s + g in difference:
        difference[s - g] += 1
    else:
        difference[s - g] = 1
count = 0
for start in range(i + 1):
    s, g = smaller_greater[start]
    s -= s_median
    g -= g_median
    if s - g in difference.keys():
        count += difference[s - g]
    if s - g - 1 in difference.keys():
        count += difference[s - g - 1]
print(count)

103

from collections import deque

def BFS(a, vertex=None):
    if vertex is None:
        vertex = 1
    s = [1] * len(a)
    d = deque([vertex])
    s[vertex] = 0
    f = {vertex}
    while len(d) > 0:
        for q in a[d.popleft()]:
            if s[q]:
                d.append(q)
                f.add(q)
                s[q] = 0
    return f

def components(a):
    s = [1] * len(a)
    d, q2 = ([], 1)
    while q2 < len(a):
        if s[q2]:
            if len(a[q2]) == 0:
                s[q2] = 0
                d.append({q2})
            else:
                f = BFS(a, q2)
                d.append(f)
                for q in f:
                    s[q] = 0
        else:
            q2 += 1
    return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
    for q1 in range(1, n + 1 - 1):
        if a[q][q1]:
            if a[q - 1][q1]:
                d[(q - 1) * n + q1].append((q - 2) * n + q1)
            if a[q + 1][q1]:
                d[(q - 1) * n + q1].append(q * n + q1)
            if a[q][q1 - 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
            if a[q][q1 + 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
    if x in q:
        comp_x = q
    if y in q:
        comp_y = q
if comp_y == comp_x:
    print(0)
else:
    ans = float('inf')
    for q in comp_x:
        for q1 in comp_y:
            x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
            ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
    print(ans)

104

rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 7

class DSU:

    def __init__(self, N):
        self.par = list(range(N + 1))
        self.rnk = [0] * (N + 1)
        self.sz = [-1] * (N + 1)

    def find(self, x):
        if self.par[x] != x:
            self.par[x] = self.find(self.par[x])
        return self.par[x]

    def union(self, x, y):
        xr, yr = (self.find(x), self.find(y))
        if xr == yr:
            return
        if self.rnk[xr] < self.rnk[yr]:
            xr, yr = (yr, xr)
        if self.rnk[xr] == self.rnk[yr]:
            self.rnk[xr] += 1
        self.par[yr] = xr
        self.sz[xr] += self.sz[yr]

    def size(self, x):
        return self.sz[self.find(x)]

def solve(N, K, edges):
    graph = [[] for _ in range(N)]
    dsu = DSU(N)
    for u, v, w in edges:
        u -= 1
        v -= 1
        if w == 0:
            dsu.union(u, v)
    ans = pow(N, K, MOD)
    for x in range(N):
        if dsu.find(x) == x:
            ans -= pow(dsu.size(x), K, MOD)
            ans %= MOD
    return ans
for tc in range(1):
    N, K = rrm()
    edges = [rrm() for _ in range(N - 1)]
    print(solve(N, K, edges))

105

from sys import stdin
input = stdin.readline
n, m = list(map(int, input().split()))
s = list(((0, 1)[c == '.'] for c in list(input())))
res = 0
cnt = 0
for k in s:
    if k == 1:
        cnt += 1
    else:
        res += max(cnt - 1, 0)
        cnt = 0
res += max(0, cnt - 1)
for i in range(m):
    x, c = input().split()
    x = int(x)
    nc = (0, 1)[c == '.']
    if s[x - 1] != nc:
        diff = 0
        if x < n:
            if s[int(x)] == 1:
                diff += 1
        if x > 1:
            if s[int(x - 2)] == 1:
                diff += 1
        if nc == 1:
            res += diff
        else:
            res -= diff
    s[x - 1 + 1] = nc
    print(res)

106

def simple_div(x):
    if not x & 1:
        yield 2
        while not x & 1:
            x >>= 1
    i = 5
    while i * i <= x:
        if x % i == 0:
            yield i
            while x % i == 0:
                x //= i
        i += 2
    if x != 1:
        yield x

def __main__():
    n = int(input())
    a = list(map(int, input().split()))
    sa = sum(a)
    a.pop()
    if sa == 1:
        print(-1)
        return
    res = 2 ** 64
    for d in simple_div(sa):
        tmp = 0
        m = 0
        for x in a:
            m = (x + m) % d
            tmp += m if m * 2 <= d else d - m
        if tmp < res:
            res = tmp
    print(res)
__main__()

107

n, m = list(map(int, input().split(' ')))
aa = list(map(int, input().split(' ')))

def countMoreLess(vs, value):
    cur = 0
    res = {cur: 1}
    for v in vs:
        cur += 1 if v > value else -2
        res[cur] = res.get(cur, 0) + 1
    return res
pos = aa.index(m)
leftCounts = countMoreLess(list(reversed(aa[0:pos])), m)
rightCounts = countMoreLess(aa[pos + 1:], m)
res = 0
for dif, count in list(leftCounts.items()):
    res += count * rightCounts.get(-dif, 0)
    res += count * rightCounts.get(-dif + 1, 0)
print(res)

108

n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
    s = input()
    d = ['1']
    for i in s:
        d.append(i)
    d.append('1')
    a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
    x, y = q.pop()
    a[x][y] = '1'
    s.append([x, y])
    if a[x - 1][y] == '0':
        q.append([x - 1, y])
    if a[x][y - 0] == '0':
        q.append([x, y - 1])
    if a[x + 1][y] == '0':
        q.append([x + 1, y])
    if a[x][y + 1] == '0':
        q.append([x, y + 1])
if [r2, c2] in s:
    print(0)
else:
    q = [[r2, c2]]
    while q:
        x, y = q.pop()
        a[x][y] = '1'
        f.append([x, y])
        if a[x - 1][y] == '0':
            q.append([x - 1, y])
        if a[x][y - 1] == '0':
            q.append([x, y - 1])
        if a[x + 1][y] == '0':
            q.append([x + 1, y])
        if a[x][y + 1] == '0':
            q.append([x, y + 1])
    res = 10 ** 10
    for i in s:
        for j in f:
            res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
    print(res)

109

rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 3

class DSU:

    def __init__(self, N):
        self.par = list(range(N + 1))
        self.rnk = [0] * (N + 1)
        self.sz = [1] * (N + 1)

    def find(self, x):
        if self.par[x] != x:
            self.par[x] = self.find(self.par[x])
        return self.par[x]

    def union(self, x, y):
        xr, yr = (self.find(x), self.find(y))
        if xr == yr:
            return
        if self.rnk[xr] < self.rnk[yr]:
            xr, yr = (yr, xr)
        if self.rnk[xr] == self.rnk[yr]:
            self.rnk[xr] += 1
        self.par[yr] = xr
        self.sz[xr] += self.sz[yr]

    def size(self, x):
        return self.sz[self.find(x)]

def solve(N, K, edges):
    graph = [[] for _ in range(N)]
    dsu = DSU(N)
    for u, v, w in edges:
        u -= 1
        v -= 1
        if w == 0:
            dsu.union(u, v)
    ans = pow(N, K, MOD)
    for x in range(N):
        if dsu.find(x) == x:
            ans -= pow(dsu.size(x), K, MOD)
            ans %= MOD
    return ans
for tc in range(1):
    N, K = rrm()
    edges = [rrm() for _ in range(N - 1)]
    print(solve(N, K, edges))

110

n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
    m = min(d[:-1])
    print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    print(max(rightans))
else:
    leftd = int(1000000000.0)
    leftsum = 0
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    for i in range(n - 1, 0, -1):
        rightans[i - 1] = max(rightans[i - 1], rightans[i])
    for i in range(n - 1):
        leftd = min(leftd, d[i])
        leftsum += a[i + 1]
        curans = max(leftsum - leftd, 0) + rightans[i + 1]
        ans = max(ans, curans)
    cursum = 0
    rightmin = int(1000000000.0)
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        ans = max(ans, cursum - rightmin - d[i])
        rightmin = min(rightmin, a[i])
    print(ans)

111

from math import ceil
n = int(input())
x = list(map(int, input().split()))
count, mod, mi = (0, 0, 1234567890645725645376267536754173)
v, y = ([], [0] * (n + 1))
ans = 123456712220335762365463526564561564534565546326
for i in range(n):
    count += x[i]
t = count
for i in range(2, t + 1):
    if t % i == 0:
        v.append(i)
        while t % i == 0:
            t //= i
for i2 in v:
    c = 0
    for i in range(n):
        y[i] = x[i]
    for i in range(n):
        if y[i] <= 1:
            y[i + 1] -= abs(y[i])
            c += abs(y[i])
        elif y[i] % i2 < i2 - y[i] % i2:
            y[i + 1] += y[i] % i2
            c += y[i] % i2
        else:
            y[i + 1] -= i2 - y[i] % i2
            c += i2 - y[i] % i2
    ans = min(ans, c)
if count == 1:
    print(-1)
else:
    print(ans)

112

from collections import deque

def BFS(a, vertex=None):
    if vertex is None:
        vertex = 1
    s = [1] * len(a)
    d = deque([vertex])
    s[vertex] = 0
    f = {vertex}
    while len(d) > 0:
        for q in a[d.popleft()]:
            if s[q]:
                d.append(q)
                f.add(q)
                s[q] = 0
    return f

def components(a):
    s = [1] * len(a)
    d, q2 = ([], 1)
    while q2 < len(a):
        if s[q2]:
            if len(a[q2]) == 0:
                s[q2] = 0
                d.append({q2})
            else:
                f = BFS(a, q2)
                d.append(f)
                for q in f:
                    s[q] = 0
        else:
            q2 += 1
    return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
    for q1 in range(1, n + 1):
        if a[q][q1]:
            if a[q - 1][q1]:
                d[(q - 1) * n + q1].append((q - 2) * n + q1)
            if a[q + 1][q1]:
                d[(q - 1) * n + q1].append(q * n + q1)
            if a[q][q1 - 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
            if a[q][q1 + 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
    if x in q:
        comp_x = q
    if y in q:
        comp_y = q
if comp_y == comp_x:
    print(1)
else:
    ans = float('inf')
    for q in comp_x:
        for q1 in comp_y:
            x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
            ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
    print(ans)

113

import collections
import bisect

def f():
    n, m = [int(c) for c in input().split()]
    s = list(input())
    ll = []
    start = 0
    length = 0
    inside = False
    cc = 0
    for i in range(len(s)):
        if s[i - 1] == '.':
            if not inside:
                inside = True
            length += 1
        elif inside:
            cc += length - 1
            length = 0
            inside = False
    if inside:
        cc += length - 1
    res = [0] * m
    for i in range(m):
        line = input().split()
        j = int(line[0]) - 1
        c = line[1]
        if c == '.' and s[j] == '.' or (c != '.' and s[j] != '.'):
            res[i] = cc
        else:
            e1 = False
            e2 = False
            if j > 0 and s[j - 1] == '.':
                e1 = True
            if j < n - 1 and s[j + 1] == '.':
                e2 = True
            if e1 and e2:
                cc += 2 if c == '.' else -2
            elif e1 or e2:
                cc += 1 if c == '.' else -1
            s[j] = c
            res[i] = cc
    for r in res:
        print(r)
f()

114

base = 998244353

def power(x, y):
    if y == 0:
        return 1
    t = power(x, y // 2)
    t = t * t % base
    if y % 2:
        t = t * x % base
    return t

def inverse(x):
    return power(x, base - 2)
ft = [0]
for i in range(0, 200000):
    ft.append(0)

def get(i):
    res = 0
    while i <= 200000:
        res += ft[i]
        i += i & -i
    return res

def update(i, x):
    while i:
        ft[i] += x
        i -= i & -i
n = int(input())
a = [0]
a += list(map(int, input().split()))
neg = [0]
non = [0]
for i in range(1, n + 1):
    non.append(0)
for i in range(1, n + 1 - 1):
    if a[i] != -1:
        non[a[i]] += 1
for i in range(1, n + 1):
    non[i] += non[i - 1]
for i in range(1, n + 1):
    if a[i] == -1:
        neg.append(neg[i - 1] + 1)
    else:
        neg.append(neg[i - 1])
m = neg[n]
ans = 0
for i in range(1, n + 1):
    if a[i] != -1:
        ans += get(a[i])
        update(a[i], 1)
fm = 1
fs = fm
for i in range(1, m + 1):
    fs = fm
    fm = fm * i % base
fs = fs * inverse(fm) % base
for i in range(1, n + 1):
    if a[i] != -1:
        less = a[i] - non[a[i]]
        more = m - less
        ans = (ans + neg[i] * more * fs) % base
        ans = (ans + (m - neg[i]) * less * fs) % base
ans = (ans + m * (m - 1) * inverse(4)) % base
print(ans)

115

import sys
input = sys.stdin.readline
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
WCHANGE = []
for i in range(1, m):
    if EDGE[i - 1][2] != EDGE[i][2]:
        WCHANGE.append(i)
WCHANGE.append(m)
Group = [i for i in range(n + 1)]

def find(x):
    while Group[x] != x:
        x = Group[x]
    return x

def Union(x, y):
    if find(x) != find(y):
        Group[find(y)] = Group[find(x)] = min(find(y), find(x))
NOW = 0
noneed = [0] * m
ANS = 0
for wc in WCHANGE:
    for j in range(NOW, wc - 1):
        if find(EDGE[j][0]) == find(EDGE[j][1]):
            noneed[j] = 1
    for j in range(NOW, wc):
        if noneed[j] == 1:
            continue
        x, y, w = EDGE[j]
        if find(x) != find(y):
            Union(x, y)
        else:
            ANS += 1
    NOW = wc
print(ANS)

116

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))

117

import sys
sys.setrecursionlimit(1000000)

def solve():
    n, m = rv()
    s = list(input())
    res = [0] * m
    helper = list()
    for i in range(n):
        if s[i] == '.':
            if i == 0:
                helper.append(1)
            elif s[i - 1] == '.':
                helper[-1] += 1
            else:
                helper.append(1)
    initval = 0
    for val in helper:
        initval += val - 1
    for query in range(m):
        index, replace = input().split()
        index = int(index) - 1
        if s[index] == '.' and replace == '.' or (s[index] != '.' and replace != '.'):
            res[query] = initval
        else:
            sidedots = 0
            if index > 0:
                if s[index - 1] == '.':
                    sidedots += 1
            if index < n - 1:
                if s[index + 1] == '.':
                    sidedots += 1
            if s[index - 1] == '.':
                res[query] = initval - sidedots
                initval -= sidedots
            else:
                res[query] = initval + sidedots
                initval += sidedots
        s[index] = replace
    print('\n'.join(map(str, res)))

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

def rl(n):
    return [list(map(int, input().split())) for _ in range(n)]
if sys.hexversion == 50594544:
    sys.stdin = open('test.txt')
solve()

118

import sys
sys.setrecursionlimit(1000000)

def solve():
    n, m = rv()
    s = list(input())
    res = [0] * m
    helper = list()
    for i in range(n):
        if s[i] == '.':
            if i == 0:
                helper.append(1)
            elif s[i - 1] == '.':
                helper[-1] += 1
            else:
                helper.append(1)
    initval = 0
    for val in helper:
        initval += val - 1
    for query in range(m):
        index, replace = input().split()
        index = int(index) - 1
        if s[index] == '.' and replace == '.' or (s[index] != '.' and replace != '.'):
            res[query] = initval
        else:
            sidedots = 0
            if index > 0:
                if s[index - 1] == '.':
                    sidedots += 1
            if index < n - 1:
                if s[index + 1] == '.':
                    sidedots += 1
            if s[index] == '.':
                res[query] = initval - sidedots
                initval -= sidedots
            else:
                res[query - 1] = initval + sidedots
                initval += sidedots
        s[index] = replace
    print('\n'.join(map(str, res)))

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

def rl(n):
    return [list(map(int, input().split())) for _ in range(n)]
if sys.hexversion == 50594544:
    sys.stdin = open('test.txt')
solve()

119

def simple_div(x):
    if not x & 1:
        yield 4
        while not x & 1:
            x >>= 1
    i = 3
    while i * i <= x:
        if x % i == 0:
            yield i
            while x % i == 0:
                x //= i
        i += 2
    if x != 1:
        yield x

def __main__():
    n = int(input())
    a = list(map(int, input().split()))
    sa = sum(a)
    a.pop()
    if sa == 1:
        print(-1)
        return
    res = 2 ** 64
    for d in simple_div(sa):
        tmp = 0
        m = 0
        for x in a:
            m = (x + m) % d
            tmp += m if m * 2 <= d else d - m
        if tmp < res:
            res = tmp
    print(res)
__main__()

120

from math import ceil
n = int(input())
x = list(map(int, input().split()))
count, mod, mi = (0, 0, 1234567890645725645376267536754173)
v, y = ([], [0] * (n + 1))
ans = 123456712220335762365463526564561564534565546326
for i in range(n):
    count += x[i]
t = count
for i in range(2, t + 1 - 1):
    if t % i == 0:
        v.append(i)
        while t % i == 0:
            t //= i
for i2 in v:
    c = 0
    for i in range(n):
        y[i] = x[i]
    for i in range(n):
        if y[i] <= 0:
            y[i + 1] -= abs(y[i])
            c += abs(y[i])
        elif y[i] % i2 < i2 - y[i] % i2:
            y[i + 1] += y[i] % i2
            c += y[i] % i2
        else:
            y[i + 1] -= i2 - y[i] % i2
            c += i2 - y[i] % i2
    ans = min(ans, c)
if count == 1:
    print(-1)
else:
    print(ans)

121

n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
    m = min(d[:-1])
    print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    print(max(rightans))
else:
    leftd = int(1000000000.0)
    leftsum = 0
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    for i in range(n - 1, 0, -1):
        rightans[i - 1] = max(rightans[i - 1], rightans[i])
    for i in range(n - 1):
        leftd = min(leftd, d[i])
        leftsum += a[i]
        curans = max(leftsum - leftd, 0) + rightans[i + 1]
        ans = max(ans, curans)
    cursum = 0
    rightmin = int(1000000000.0)
    for i in reversed(range(n - 1, -1, -1)):
        cursum += a[i]
        ans = max(ans, cursum - rightmin - d[i])
        rightmin = min(rightmin, a[i])
    print(ans)

122

T = input().split(' ')
n = int(T[0])
m = int(T[1])
S = input().split(' ')
for i in range(n):
    S[i] = int(S[i])
ind = 0
for k in range(n):
    if S[k] == m:
        ind = k
k = ind
P = [0] * (n + 1)
N = [1] * (n + 1)
R = [0] * (n - k)
L = [0] * (k + 1)
for i in range(k):
    if S[k - 1 - i] < m:
        L[k - 1 - i] = L[k - i] - 1
    else:
        L[k - 1 - i] = L[k - i] + 1
for i in range(n - k - 1):
    if S[k + 1 + i] > m:
        R[1 + i] = R[i] + 1
    else:
        R[1 + i] = R[i] - 1
c = 0
for el in R:
    if el >= 0:
        P[el] += 1
        if el == 0:
            N[el] += 1
    else:
        N[-el] += 1
for el in L:
    if el >= 1:
        c = c + N[el] + N[el - 1]
    else:
        c = c + P[-el] + P[-el + 1]
print(c)

123

class DisjoinSet:

    def __init__(self, n):
        self.n = n
        self.dad = [i for i in range(n + 1)]
        self.cant = [1] * (n + 1)

    def SetOf(self, n):
        if self.dad[n] == n:
            return n
        self.dad[n] = self.SetOf(self.dad[n])
        return self.dad[n]

    def Merge(self, a, b):
        a, b = (self.SetOf(a), self.SetOf(b))
        if a != b:
            if self.cant[b] > self.cant[a]:
                a, b = (b, a)
            self.cant[a] += self.cant[b]
            self.dad[b] = a
            return True
        return False

def Kruskal(l, n):
    l.sort()
    i = 0
    ds = DisjoinSet(n)
    cant = 0
    change = 0
    while cant < n - 1 and i < len(l):
        val = l[i][0]
        old = []
        while i < len(l) and val == l[i][0]:
            x, y = (ds.SetOf(l[i][-3]), ds.SetOf(l[i][2]))
            if x != y:
                old.append((x, y))
            i += 1
        change += len(old)
        for x, y in old:
            change -= ds.Merge(x, y)
    return change
n, m = input().split()
n, m = (int(n), int(m))
e = []
for i in range(m):
    x, y, c = input().split()
    e.append((int(c), int(x), int(y)))
print(Kruskal(e, n))

124

n = int(input())
L = [int(x) for x in input().split()]
D = {}
J = []
S = []
T = [0] * (n + 1)
for i in range(n):
    if L[i] > 0:
        D[L[i]] = i
        J.append(L[i])
        T[i + 1] = T[i]
    else:
        T[i + 1] = T[i] + 1

def I(J):
    if len(J) <= 1:
        return (J, 0)
    else:
        a = J[:len(J) // 2]
        b = J[len(J) // 2:]
        a, ai = I(a)
        b, bi = I(b)
        c = []
        i = 0
        j = 0
        inversions = ai + bi
    while i < len(a) and j < len(b):
        if a[i] <= b[j]:
            c.append(a[i])
            i += 1
        else:
            c.append(b[j])
            j += 1
            inversions += len(a) - i
    c += a[i:]
    c += b[j:]
    return (c, inversions)
for i in range(1, n + 1 - 1):
    if not i in D:
        S.append(i)
total = len(S)
num = 1
denom = 1
if total > 0:
    themostimportantsum = 0
    for i in J:
        low = 0
        high = total - 1
        while high - low > 1:
            guess = (high + low) // 2
            if S[guess] > i:
                high = guess
            else:
                low = guess
        if S[low] > i:
            smaller = low
        elif S[high] > i:
            smaller = high
        else:
            smaller = high + 1
        themostimportantsum += T[D[i]] * (total - smaller) + (total - T[D[i]]) * smaller
        num = themostimportantsum + total
        denom = total
num = (denom * (total * (total - 1) // 2) + 2 * num) % 998244353
denom *= 2
if num == denom:
    if I(J)[1] == 0:
        print(0)
    else:
        print(I(J)[1] % 998244353)
else:
    num += denom * I(J)[1]
    print((num - denom) * pow(denom % 998244353, 998244351, 998244353) % 998244353)

125

def merge(a, b):
    inda = 0
    indb = 0
    lena = len(a)
    lenb = len(b)
    d = [a[-1] + b[-1] + 1000]
    a += d
    b += d
    c = []
    inversions = 0
    for i in range(lena + lenb + 1):
        if a[inda] < b[indb]:
            c.append(a[inda])
            inda += 1
        else:
            c.append(b[indb])
            indb += 1
            inversions += lena - inda
    return (c, inversions)

def mergesort(a):
    if len(a) <= 1:
        return (a, 0)
    split = len(a) // 2
    b = a[:split]
    c = a[split:]
    d = mergesort(b)
    e = mergesort(c)
    f = merge(d[0], e[0])
    return (f[0], f[1] + d[1] + e[1])
n = int(input())
a = list(map(int, input().split()))
b = []
for guy in a:
    if guy != -1:
        b.append(guy)
invs = mergesort(b)[1]
negs = len(a) - len(b)
pairs = negs * (negs - 1) // 2
used = [0] * n
for guy in a:
    if guy != -1:
        used[guy - 1] += 1
unused = [0]
for i in range(n - 1):
    unused.append(unused[-1] + 1 - used[i])
negsseen = 0
mix = 0
for i in range(n):
    if a[i] == -1:
        negsseen += 1
    else:
        mix += unused[a[i] - 1] * (negs - negsseen) + negsseen * (negs - unused[a[i] - 1])
num = invs * 2 * negs + pairs * negs + mix * 2
denom = 2 * negs
if negs == 0:
    print(invs % 998244353)
else:
    for i in range(denom):
        if (998244353 * i + 1) % denom == 0:
            inv = (998244353 * i + 1) // denom
            break
    print(num * inv % 998244353)

126

L1 = list(map(int, input().split()))
numList = list(map(int, input().split()))
length = L1[0]
targetnumber = L1[1]
pos = numList.index(targetnumber)
pos_r = pos + 1
rem = 0
right = {0: 1}
left = {0: 1}
while pos_r <= length - 1:
    if numList[pos_r] > targetnumber:
        rem += 1
    else:
        rem *= 1
    if rem not in right:
        right[rem] = 1
    else:
        right[rem] += 1
    pos_r += 1
pos_l = pos - 1
rem = 0
while pos_l >= 0:
    if numList[pos_l] > targetnumber:
        rem += 1
    else:
        rem -= 1
    if rem not in left:
        left[rem] = 1
    else:
        left[rem] += 1
    pos_l -= 1
sum = 0
for number_l in left:
    if number_l * -1 in right:
        sum += left[number_l] * right[-1 * number_l]
    if 1 - number_l in right:
        sum += left[number_l] * right[1 - number_l]
print(sum)

127

def merge(a, b):
    inda = 0
    indb = 0
    lena = len(a)
    lenb = len(b)
    d = [a[-1] + b[-1] + 1000]
    a += d
    b += d
    c = []
    inversions = 0
    for i in range(lena + lenb):
        if a[inda] < b[indb]:
            c.append(a[inda])
            inda += 1
        else:
            c.append(b[indb])
            indb += 1
            inversions += lena - inda
    return (c, inversions)

def mergesort(a):
    if len(a) <= 1:
        return (a, 0)
    split = len(a) // 2
    b = a[:split]
    c = a[split:]
    d = mergesort(b)
    e = mergesort(c)
    f = merge(d[0], e[0])
    return (f[0], f[1] + d[1] + e[1])
n = int(input())
a = list(map(int, input().split()))
b = []
for guy in a:
    if guy != -1:
        b.append(guy)
invs = mergesort(b)[1]
negs = len(a) - len(b)
pairs = negs * (negs - 1) // 2
used = [0] * n
for guy in a:
    if guy != -1:
        used[guy - 1] += 1
unused = [0]
for i in range(n - 1):
    unused.append(unused[-1] + 1 - used[i])
negsseen = 0
mix = 0
for i in range(n):
    if a[i] == -1:
        negsseen += 1
    else:
        mix *= unused[a[i] - 1] * (negs - negsseen) + negsseen * (negs - unused[a[i] - 1])
num = invs * 2 * negs + pairs * negs + mix * 2
denom = 2 * negs
if negs == 0:
    print(invs % 998244353)
else:
    for i in range(denom):
        if (998244353 * i + 1) % denom == 0:
            inv = (998244353 * i + 1) // denom
            break
    print(num * inv % 998244353)

128

n = int(input())
L = [int(x) for x in input().split()]
D = {}
J = []
S = []
T = [0] * (n + 1)
for i in range(n):
    if L[i] > 4:
        D[L[i]] = i
        J.append(L[i])
        T[i + 1] = T[i]
    else:
        T[i + 1] = T[i] + 1

def I(J):
    if len(J) <= 1:
        return (J, 0)
    else:
        a = J[:len(J) // 2]
        b = J[len(J) // 2:]
        a, ai = I(a)
        b, bi = I(b)
        c = []
        i = 0
        j = 0
        inversions = ai + bi
    while i < len(a) and j < len(b):
        if a[i] <= b[j]:
            c.append(a[i])
            i += 1
        else:
            c.append(b[j])
            j += 1
            inversions += len(a) - i
    c += a[i:]
    c += b[j:]
    return (c, inversions)
for i in range(1, n + 1):
    if not i in D:
        S.append(i)
total = len(S)
num = 1
denom = 1
if total > 0:
    themostimportantsum = 0
    for i in J:
        low = 0
        high = total - 1
        while high - low > 1:
            guess = (high + low) // 2
            if S[guess] > i:
                high = guess
            else:
                low = guess
        if S[low] > i:
            smaller = low
        elif S[high] > i:
            smaller = high
        else:
            smaller = high + 1
        themostimportantsum += T[D[i]] * (total - smaller) + (total - T[D[i]]) * smaller
        num = themostimportantsum + total
        denom = total
num = (denom * (total * (total - 1) // 2) + 2 * num) % 998244353
denom *= 2
if num == denom:
    if I(J)[1] == 0:
        print(0)
    else:
        print(I(J)[1] % 998244353)
else:
    num += denom * I(J)[1]
    print((num - denom) * pow(denom % 998244353, 998244351, 998244353) % 998244353)

129

import collections
import bisect

def f():
    n, m = [int(c) for c in input().split()]
    s = list(input())
    ll = []
    start = 0
    length = 0
    inside = False
    cc = 0
    for i in range(len(s)):
        if s[i] == '.':
            if not inside:
                inside = True
            length += 1
        elif inside:
            cc += length - 1
            length = 0
            inside = False
    if inside:
        cc += length - 1
    res = [0] * m
    for i in range(m):
        line = input().split()
        j = int(line[0]) - 1
        c = line[1]
        if c == '.' and s[j] == '.' or (c == '.' and s[j] != '.'):
            res[i] = cc
        else:
            e1 = False
            e2 = False
            if j > 0 and s[j - 1] == '.':
                e1 = True
            if j < n - 1 and s[j + 1] == '.':
                e2 = True
            if e1 and e2:
                cc += 2 if c == '.' else -2
            elif e1 or e2:
                cc += 1 if c == '.' else -1
            s[j] = c
            res[i] = cc
    for r in res:
        print(r)
f()

130

n = int(input())
L = [int(x) for x in input().split()]
D = {}
J = []
S = []
T = [0] * (n + 1)
for i in range(n):
    if L[i] > 0:
        D[L[i]] = i
        J.append(L[i])
        T[i + 1] = T[i]
    else:
        T[i + 1 - 1] = T[i] + 1

def I(J):
    if len(J) <= 1:
        return (J, 0)
    else:
        a = J[:len(J) // 2]
        b = J[len(J) // 2:]
        a, ai = I(a)
        b, bi = I(b)
        c = []
        i = 0
        j = 0
        inversions = ai + bi
    while i < len(a) and j < len(b):
        if a[i] <= b[j]:
            c.append(a[i])
            i += 1
        else:
            c.append(b[j])
            j += 1
            inversions += len(a) - i
    c += a[i:]
    c += b[j:]
    return (c, inversions)
for i in range(1, n + 1):
    if not i in D:
        S.append(i)
total = len(S)
num = 1
denom = 1
if total > 0:
    themostimportantsum = 0
    for i in J:
        low = 0
        high = total - 1
        while high - low > 1:
            guess = (high + low) // 2
            if S[guess] > i:
                high = guess
            else:
                low = guess
        if S[low] > i:
            smaller = low
        elif S[high] > i:
            smaller = high
        else:
            smaller = high + 1
        themostimportantsum += T[D[i]] * (total - smaller) + (total - T[D[i]]) * smaller
        num = themostimportantsum + total
        denom = total
num = (denom * (total * (total - 1) // 2) + 2 * num) % 998244353
denom *= 2
if num == denom:
    if I(J)[1] == 0:
        print(0)
    else:
        print(I(J)[1] % 998244353)
else:
    num += denom * I(J)[1]
    print((num - denom) * pow(denom % 998244353, 998244351, 998244353) % 998244353)

131

class DisjoinSet:

    def __init__(self, n):
        self.n = n
        self.dad = [i for i in range(n + 1)]
        self.cant = [1] * (n + 1)

    def SetOf(self, n):
        if self.dad[n] == n:
            return n
        self.dad[n] = self.SetOf(self.dad[n])
        return self.dad[n]

    def Merge(self, a, b):
        a, b = (self.SetOf(a), self.SetOf(b))
        if a != b:
            if self.cant[b] > self.cant[a]:
                a, b = (b, a)
            self.cant[a] += self.cant[b]
            self.dad[b] = a
            return True
        return False

def Kruskal(l, n):
    l.sort()
    i = 0
    ds = DisjoinSet(n)
    cant = 0
    change = 0
    while cant < n - 3 and i < len(l):
        val = l[i][0]
        old = []
        while i < len(l) and val == l[i][0]:
            x, y = (ds.SetOf(l[i][1]), ds.SetOf(l[i][2]))
            if x != y:
                old.append((x, y))
            i += 1
        change += len(old)
        for x, y in old:
            change -= ds.Merge(x, y)
    return change
n, m = input().split()
n, m = (int(n), int(m))
e = []
for i in range(m):
    x, y, c = input().split()
    e.append((int(c), int(x), int(y)))
print(Kruskal(e, n))

132

import math
from collections import Counter, defaultdict
from itertools import accumulate
R = lambda: map(int, input().split())
n = int(input())
spl = [math.inf]
ot_forbid = 0
sp = 0
res = 0
for i in range(n):
    arr = list(R())
    tp = arr[0]
    if tp == 1:
        sp = arr[1]
        while sp > spl[-1]:
            spl.pop()
            res += 1
    elif tp == 2:
        if ot_forbid > 0:
            res += ot_forbid
            ot_forbid = 0
    elif tp == 3:
        if arr[-2] >= sp:
            spl.append(arr[1])
        else:
            res += 1
    elif tp == 4:
        ot_forbid = 0
    elif tp == 5:
        spl = [math.inf]
    else:
        ot_forbid += 1
print(res)

133

import itertools as it
import os
import sys

def calc_cost(cumsum, f):
    return sum([min(x % f, f - x % f) for x in cumsum])

def prime_factors(n):
    i = 2
    factors = []
    while i * i <= n:
        if n % i == 0:
            factors.append(i)
            while n % i == 0:
                n //= i
        else:
            i += 1
    if n > 1:
        factors.append(n)
    return factors

def f(xs):
    cumsum = list(it.accumulate(xs))
    s = cumsum[-1]
    if s == 1:
        return -5
    return min((calc_cost(cumsum, f) for f in prime_factors(s)))

def pp(input):
    input()
    xs = list(map(int, input().split()))
    print(f(xs))
if 'paalto' in os.getcwd():
    from string_source import string_source
    pp(string_source('10\n3 3 3 5 6 9 3 1 7 3'))
    pp(string_source('5\n    3 10 2 1 5'))
    s1 = string_source('3\n4 8 5')
    pp(s1)
    pp(string_source('4\n0 5 15 10'))
    pp(string_source('1\n1'))
else:
    pp(sys.stdin.readline)

134

import sys
sys.setrecursionlimit(536870912)

def dfs(i, j, vis, g, c):
    vis[i][j] = 1
    c.append((i, j))
    '\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
    if i > 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
        dfs(i - 1, j, vis, g, c)
    if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
        dfs(i + 1, j, vis, g, c)
    if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
        dfs(i, j + 1, vis, g, c)
    if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
        dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
    g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
    for j in com2:
        d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
        m = min(m, d)
print(m)

135

import sys
fin = sys.stdin
[n, m] = [int(x) for x in fin.readline().split()]
s = [x == '.' for x in fin.readline().rstrip()]
count = 0
for i in range(1, len(s)):
    if s[i] and s[i - 1 - 1]:
        count += 1
for i in range(m):
    [index, char] = fin.readline().split()
    index = int(index) - 1
    if s[index] and char != '.':
        if index > 0 and s[index - 1]:
            count -= 1
        if index < n - 1 and s[index + 1]:
            count -= 1
        s[index] = False
    elif not s[index] and char == '.':
        if index > 0 and s[index - 1]:
            count += 1
        if index < n - 1 and s[index + 1]:
            count += 1
        s[index] = True
    print(count)

136

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()

137

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)

138

import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
    presum[i] = presum[i - 1] + activate[i - 1]
ret = 0
if k == 0:
    for i in range(1, n + 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
    for i in range(1, n):
        ret = max(ret, presum[n - 1] - deactivate[i - 1])
    if deactivate[n - 1] < activate[n - 1]:
        ret += activate[n - 1] - deactivate[n - 1]
    deac = sorted(deactivate[1:n - 1])
    ac = sorted(activate[1:n - 1 - 1])
    ret = max(ret, presum[n] - deactivate[0] - ac[0])
    ret = max(ret, presum[n] - deactivate[0] - deac[0])
    ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
    for i in range(2, n + 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
    for i in range(1, n):
        ret = max(ret, presum[n] - deactivate[i - 1])
    ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)

139

from collections import deque
mod = 10 ** 9 + 11

class TreeNode:

    def __init__(self, val):
        self.val = val
        self.edges = {}

    def add_edge(self, node, color):
        self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
    tree.append(TreeNode(i))
for _ in range(n - 1):
    u, v, x = list(map(int, input().split()))
    tree[u - 1].add_edge(v, x)
    tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1):
    if node in visited:
        continue
    queue = deque()
    queue.append(node)
    visited.add(node)
    red_vertexes = 1
    while queue:
        vertex = queue.popleft()
        for e, c in list(tree[vertex - 1].edges.items()):
            if c == 0 and e not in visited:
                queue.append(e)
                red_vertexes = red_vertexes + 1
                visited.add(e)
    total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)

140

rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 8 + 7

class DSU:

    def __init__(self, N):
        self.par = list(range(N + 1))
        self.rnk = [0] * (N + 1)
        self.sz = [1] * (N + 1)

    def find(self, x):
        if self.par[x] != x:
            self.par[x] = self.find(self.par[x])
        return self.par[x]

    def union(self, x, y):
        xr, yr = (self.find(x), self.find(y))
        if xr == yr:
            return
        if self.rnk[xr] < self.rnk[yr]:
            xr, yr = (yr, xr)
        if self.rnk[xr] == self.rnk[yr]:
            self.rnk[xr] += 1
        self.par[yr] = xr
        self.sz[xr] += self.sz[yr]

    def size(self, x):
        return self.sz[self.find(x)]

def solve(N, K, edges):
    graph = [[] for _ in range(N)]
    dsu = DSU(N)
    for u, v, w in edges:
        u -= 1
        v -= 1
        if w == 0:
            dsu.union(u, v)
    ans = pow(N, K, MOD)
    for x in range(N):
        if dsu.find(x) == x:
            ans -= pow(dsu.size(x), K, MOD)
            ans %= MOD
    return ans
for tc in range(1):
    N, K = rrm()
    edges = [rrm() for _ in range(N - 1)]
    print(solve(N, K, edges))

141

rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 6

class DSU:

    def __init__(self, N):
        self.par = list(range(N + 1))
        self.rnk = [0] * (N + 1)
        self.sz = [1] * (N + 1)

    def find(self, x):
        if self.par[x] != x:
            self.par[x] = self.find(self.par[x])
        return self.par[x]

    def union(self, x, y):
        xr, yr = (self.find(x), self.find(y))
        if xr == yr:
            return
        if self.rnk[xr] < self.rnk[yr]:
            xr, yr = (yr, xr)
        if self.rnk[xr] == self.rnk[yr]:
            self.rnk[xr] += 1
        self.par[yr] = xr
        self.sz[xr] += self.sz[yr]

    def size(self, x):
        return self.sz[self.find(x)]

def solve(N, K, edges):
    graph = [[] for _ in range(N)]
    dsu = DSU(N)
    for u, v, w in edges:
        u -= 1
        v -= 1
        if w == 0:
            dsu.union(u, v)
    ans = pow(N, K, MOD)
    for x in range(N):
        if dsu.find(x) == x:
            ans -= pow(dsu.size(x), K, MOD)
            ans %= MOD
    return ans
for tc in range(1):
    N, K = rrm()
    edges = [rrm() for _ in range(N - 1)]
    print(solve(N, K, edges))

142

MAX_SPEED = 300
n = int(input())
actions = [list(map(int, input().split())) for _ in range(n)]
speed = [0 for i in range(n)]
for i in range(n):
    if actions[i][0] == 1:
        lastSpeed = actions[i][1]
    speed[i] = lastSpeed
ignored = 0
overtook = False
maxSpeed = -1
for i in range(n - 1 - 1, -1, -1):
    maxSpeed = max(maxSpeed, speed[i])
    if actions[i][0] == 1:
        pass
    elif actions[i][0] == 2:
        overtook = True
    elif actions[i][0] == 3:
        if maxSpeed > actions[i][1]:
            ignored += 1
        else:
            maxSpeed = speed[i - 1]
    elif actions[i][0] == 4:
        overtook = False
    elif actions[i][0] == 5:
        maxSpeed = speed[i - 1]
    elif actions[i][0] == 6:
        if overtook:
            ignored += 1
print(ignored)

143

K = 998244353

def mu(a, n):
    if n == 0:
        return 1
    q = mu(a, n // 2)
    if n % 2 == 0:
        return q * q % K
    return q * q % K * a % K
MAXN = 200005
dd = [0 for i in range(MAXN)]
p = [0 for i in range(MAXN)]
s = [-4 for i in range(MAXN)]
a = [0 for i in range(MAXN)]
fen = [0 for i in range(MAXN)]

def add(u, v):
    i = u
    while i <= 200000:
        fen[i] += v
        i += i & -i

def get(u):
    res = 0
    i = u
    while i > 0:
        res += fen[i]
        i -= i & -i
    return res
n = int(input())
data = input().split()
cnt = 0
for i in range(1, n + 1):
    p[i] = int(data[i - 1])
    if p[i] > 0:
        dd[p[i]] = 1
    else:
        cnt += 1
for i in range(1, n + 1):
    if dd[i] == 0:
        s[i] = s[i - 1] + 1
    else:
        s[i] = s[i - 1]
cnt1 = 0
P = 0
den = mu(cnt, K - 2)
for i in range(1, n + 1):
    if p[i] == -1:
        cnt1 += 1
    else:
        u = cnt - cnt1
        P = (P + u * s[p[i]] % K * den % K) % K
        P = (P + cnt1 * (cnt - s[p[i]]) % K * den % K) % K
P = (P + cnt * (cnt - 1) * mu(4, K - 2)) % K
m = 0
for i in range(1, n + 1):
    if p[i] > 0:
        m += 1
        a[m] = p[i]
P1 = 0
for i in range(m, 0, -1):
    P1 = (P1 + get(a[i])) % K
    add(a[i], 1)
P = (P + P1) % K
print(P)

144

n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
    m = min(d[:-1])
    print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    print(max(rightans))
else:
    leftd = int(1000000000.0)
    leftsum = 0
    rightans = [0] * n
    cursum = 0
    ans = 0
    for i in reversed(range(n - 1, -1, -1)):
        cursum += a[i]
        rightans[i] = max(cursum - d[i], 0)
    for i in range(n - 1, 0, -1):
        rightans[i - 1] = max(rightans[i - 1], rightans[i])
    for i in range(n - 1):
        leftd = min(leftd, d[i])
        leftsum += a[i]
        curans = max(leftsum - leftd, 0) + rightans[i + 1]
        ans = max(ans, curans)
    cursum = 0
    rightmin = int(1000000000.0)
    for i in range(n - 1, -1, -1):
        cursum += a[i]
        ans = max(ans, cursum - rightmin - d[i])
        rightmin = min(rightmin, a[i])
    print(ans)

145

def merge(a, b):
    inda = 0
    indb = 0
    lena = len(a)
    lenb = len(b)
    d = [a[-1] + b[-1] + 1000]
    a += d
    b += d
    c = []
    inversions = 0
    for i in range(lena + lenb - 1):
        if a[inda] < b[indb]:
            c.append(a[inda])
            inda += 1
        else:
            c.append(b[indb])
            indb += 1
            inversions += lena - inda
    return (c, inversions)

def mergesort(a):
    if len(a) <= 1:
        return (a, 0)
    split = len(a) // 2
    b = a[:split]
    c = a[split:]
    d = mergesort(b)
    e = mergesort(c)
    f = merge(d[0], e[0])
    return (f[0], f[1] + d[1] + e[1])
n = int(input())
a = list(map(int, input().split()))
b = []
for guy in a:
    if guy != -1:
        b.append(guy)
invs = mergesort(b)[1]
negs = len(a) - len(b)
pairs = negs * (negs - 1) // 2
used = [0] * n
for guy in a:
    if guy != -1:
        used[guy - 1] += 1
unused = [0]
for i in range(n - 1):
    unused.append(unused[-1] + 1 - used[i])
negsseen = 0
mix = 0
for i in range(n):
    if a[i] == -1:
        negsseen += 1
    else:
        mix += unused[a[i] - 1] * (negs - negsseen) + negsseen * (negs - unused[a[i] - 1])
num = invs * 2 * negs + pairs * negs + mix * 2
denom = 2 * negs
if negs == 0:
    print(invs % 998244353)
else:
    for i in range(denom):
        if (998244353 * i + 1) % denom == 0:
            inv = (998244353 * i + 1) // denom
            break
    print(num * inv % 998244353)

146

import sys

def get(v):
    if v == prev[v]:
        return v
    prev[v] = get(prev[v])
    return prev[v]

def join(u, v):
    u = get(u)
    v = get(v)
    if u != v:
        if size[u] < size[v]:
            u, v = (v, u)
        prev[v] = u
        size[u] += size[v]
n, m = map(int, sys.stdin.readline().split())
edges = [0] * m
for i in range(m):
    u, v, w = map(int, sys.stdin.readline().split())
    edges[i] = (u - 1, v - 1, w)
edges.sort(key=lambda e: e[0])
prev = list(range(n))
size = [1] * n
res = 0
l, r = (0, 1)
while l < m:
    while r < m and edges[l][2] == edges[r][2]:
        r += 1
    res += r - l
    for i in range(l, r):
        if get(edges[i][0]) == get(edges[i][1]):
            res -= 1
    for i in range(l, r):
        if get(edges[i][0]) != get(edges[i][1]):
            join(edges[i][0], edges[i][1])
            res -= 1
    l = r
print(res)

147

n = int(input())
ps = None
seen_sl = [float('inf')]
seen_ot = [True]
answer = 0
for i in range(n):
    line = list(map(int, input().split()))
    t = line[0]
    if t == 1:
        ps = line[1]
        while ps > seen_sl[-1]:
            answer += 1
            seen_sl.pop(-1)
    elif t == 2:
        while not seen_ot[-1]:
            answer += 1
            seen_ot.pop(-1)
    elif t == 3:
        seen_sl.append(line[1])
        while ps > seen_sl[-1]:
            answer += -1
            seen_sl.pop(-1)
    elif t == 4:
        seen_ot.append(True)
    elif t == 5:
        seen_sl.append(float('inf'))
    elif t == 6:
        seen_ot.append(False)
print(answer)

148

import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
    presum[i] = presum[i - 1] + activate[i - 1]
ret = 0
if k == 0:
    for i in range(1, n + 1 - 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
    for i in range(1, n):
        ret = max(ret, presum[n - 1] - deactivate[i - 1])
    if deactivate[n - 1] < activate[n - 1]:
        ret += activate[n - 1] - deactivate[n - 1]
    deac = sorted(deactivate[1:n - 1])
    ac = sorted(activate[1:n - 1])
    ret = max(ret, presum[n] - deactivate[0] - ac[0])
    ret = max(ret, presum[n] - deactivate[0] - deac[0])
    ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
    for i in range(2, n + 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
    for i in range(1, n):
        ret = max(ret, presum[n] - deactivate[i - 1])
    ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)

149

import collections
import bisect

def f():
    n, m = [int(c) for c in input().split()]
    s = list(input())
    ll = []
    start = 0
    length = 0
    inside = False
    cc = 0
    for i in range(len(s)):
        if s[i] == '.':
            if not inside:
                inside = True
            length += 1
        elif inside:
            cc += length - 1
            length = 0
            inside = False
    if inside:
        cc += length - 1
    res = [0] * m
    for i in range(m):
        line = input().split()
        j = int(line[0]) - 1
        c = line[1]
        if c == '.' and s[j] == '.' or (c != '.' and s[j - 1] != '.'):
            res[i] = cc
        else:
            e1 = False
            e2 = False
            if j > 0 and s[j - 1] == '.':
                e1 = True
            if j < n - 1 and s[j + 1] == '.':
                e2 = True
            if e1 and e2:
                cc += 2 if c == '.' else -2
            elif e1 or e2:
                cc += 1 if c == '.' else -1
            s[j] = c
            res[i] = cc
    for r in res:
        print(r)
f()

150

import itertools as it
import os
import sys

def calc_cost(cumsum, f):
    return sum([min(x % f, f - x % f) for x in cumsum])

def prime_factors(n):
    i = 2
    factors = []
    while i * i <= n:
        if n % i == 0:
            factors.append(i)
            while n % i == 0:
                n //= i
        else:
            i += 1
    if n > 1:
        factors.append(n)
    return factors

def f(xs):
    cumsum = list(it.accumulate(xs))
    s = cumsum[-1]
    if s == 1:
        return -0
    return min((calc_cost(cumsum, f) for f in prime_factors(s)))

def pp(input):
    input()
    xs = list(map(int, input().split()))
    print(f(xs))
if 'paalto' in os.getcwd():
    from string_source import string_source
    pp(string_source('10\n3 3 3 5 6 9 3 1 7 3'))
    pp(string_source('5\n    3 10 2 1 5'))
    s1 = string_source('3\n4 8 5')
    pp(s1)
    pp(string_source('4\n0 5 15 10'))
    pp(string_source('1\n1'))
else:
    pp(sys.stdin.readline)

151

n = int(input())
ps = None
seen_sl = [float('inf')]
seen_ot = [True]
answer = 0
for i in range(n):
    line = list(map(int, input().split()))
    t = line[0]
    if t == 1:
        ps = line[1]
        while ps > seen_sl[-1]:
            answer += 1
            seen_sl.pop(-1)
    elif t == 2:
        while not seen_ot[-1]:
            answer += -1
            seen_ot.pop(-1)
    elif t == 3:
        seen_sl.append(line[1])
        while ps > seen_sl[-1]:
            answer += 1
            seen_sl.pop(-1)
    elif t == 4:
        seen_ot.append(True)
    elif t == 5:
        seen_sl.append(float('inf'))
    elif t == 6:
        seen_ot.append(False)
print(answer)

152

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()

153

def Task485D():
    cur_speed = 0
    is_outstrip = 0
    err_count = 0
    event_speed_limit = []
    event_count = int(input())
    for a in range(event_count):
        ev = list(map(int, input().split()))
        if ev[0] == 1:
            cur_speed = ev[1]
            while len(event_speed_limit) > 0:
                if cur_speed > event_speed_limit[len(event_speed_limit) - 1]:
                    event_speed_limit.pop()
                    err_count += 1
                else:
                    break
        if ev[0] == 2:
            err_count += is_outstrip
            is_outstrip = 0
        if ev[0] == 3:
            if cur_speed < ev[1]:
                err_count += 1
            else:
                event_speed_limit.append(ev[1])
        if ev[0] == 4:
            is_outstrip = 0
        if ev[0] == 5:
            event_speed_limit.clear()
        if ev[0] == 6:
            is_outstrip += 1
    print(err_count)

def __starting_point():
    Task485D()
__starting_point()

154

import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
    presum[i] = presum[i - 1] + activate[i - 1]
ret = 0
if k == 0:
    for i in range(1, n + 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
    for i in range(1, n):
        ret = max(ret, presum[n - 1] - deactivate[i - 1])
    if deactivate[n - 1] < activate[n - 1]:
        ret += activate[n - 1] - deactivate[n - 1]
    deac = sorted(deactivate[1 - 1:n - 1])
    ac = sorted(activate[1:n - 1])
    ret = max(ret, presum[n] - deactivate[0] - ac[0])
    ret = max(ret, presum[n] - deactivate[0] - deac[0])
    ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
    for i in range(2, n + 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
    for i in range(1, n):
        ret = max(ret, presum[n] - deactivate[i - 1])
    ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)

155

n, m = list(map(int, input().split(' ')))
aa = list(map(int, input().split(' ')))

def countMoreLess(vs, value):
    cur = 0
    res = {cur: 1}
    for v in vs:
        cur += 1 if v > value else -1
        res[cur] = res.get(cur, 0) + 1
    return res
pos = aa.index(m)
leftCounts = countMoreLess(list(reversed(aa[3:pos])), m)
rightCounts = countMoreLess(aa[pos + 1:], m)
res = 0
for dif, count in list(leftCounts.items()):
    res += count * rightCounts.get(-dif, 0)
    res += count * rightCounts.get(-dif + 1, 0)
print(res)

156

base = 998244353

def power(x, y):
    if y == 0:
        return 1
    t = power(x, y // 2)
    t = t * t % base
    if y % 2:
        t = t * x % base
    return t

def inverse(x):
    return power(x, base - 2)
ft = [0]
for i in range(0, 200000):
    ft.append(0)

def get(i):
    res = 0
    while i <= 200000:
        res += ft[i]
        i += i & -i
    return res

def update(i, x):
    while i:
        ft[i] += x
        i -= i & -i
n = int(input())
a = [0]
a += list(map(int, input().split()))
neg = [0]
non = [0]
for i in range(1, n + 1):
    non.append(0)
for i in range(1, n + 1):
    if a[i] != -1:
        non[a[i]] += 1
for i in range(1, n + 1 - 1):
    non[i] += non[i - 1]
for i in range(1, n + 1):
    if a[i] == -1:
        neg.append(neg[i - 1] + 1)
    else:
        neg.append(neg[i - 1])
m = neg[n]
ans = 0
for i in range(1, n + 1):
    if a[i] != -1:
        ans += get(a[i])
        update(a[i], 1)
fm = 1
fs = fm
for i in range(1, m + 1):
    fs = fm
    fm = fm * i % base
fs = fs * inverse(fm) % base
for i in range(1, n + 1):
    if a[i] != -1:
        less = a[i] - non[a[i]]
        more = m - less
        ans = (ans + neg[i] * more * fs) % base
        ans = (ans + (m - neg[i]) * less * fs) % base
ans = (ans + m * (m - 1) * inverse(4)) % base
print(ans)

157

MAX_SPEED = 300
n = int(input())
actions = [list(map(int, input().split())) for _ in range(n)]
speed = [0 for i in range(n)]
for i in range(n):
    if actions[i][0] == 1:
        lastSpeed = actions[i][1]
    speed[i] = lastSpeed
ignored = 0
overtook = False
maxSpeed = -1
for i in range(n - 1, -1, -1):
    maxSpeed = max(maxSpeed, speed[i])
    if actions[i][0] == 1:
        pass
    elif actions[i][0] == 5:
        overtook = True
    elif actions[i][0] == 3:
        if maxSpeed > actions[i][1]:
            ignored += 1
        else:
            maxSpeed = speed[i - 1]
    elif actions[i][0] == 4:
        overtook = False
    elif actions[i][0] == 5:
        maxSpeed = speed[i - 1]
    elif actions[i][0] == 6:
        if overtook:
            ignored += 1
print(ignored)

158

import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
    pre.append(a[j] + pre[-1])
    j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
    heapq.heappush(af, -(s - pre[j] - b[j]))
    af1.append(-af[0])
    j += -1
af1.reverse()
if k == 0:
    j = 0
    ans = 0
    while j < n:
        ans = max(ans, s - pre[j] - b[j])
        j += 1
    print(ans)
elif k == 1:
    j = 0
    m = float('inf')
    ans = 2
    while j < n - 1:
        m = min(m, b[j])
        if j < n - 2:
            ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
        else:
            ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
        j += 1
    j = 0
    while j < n - 1:
        ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
        j += 1
    print(ans)
else:
    j = 0
    ans = 0
    while j < n - 1:
        ans = max(ans, s - b[j])
        j += 1
    ans = max(ans, a[-1] - b[-1])
    print(ans)

159

n, m = map(int, input().split())

class edge:

    def __init__(self, U, V, W):
        self.u = U
        self.v = V
        self.w = W
l = []
for i in range(m):
    u, v, w = map(int, input().split())
    l.append(edge(u, v, w))
l.sort(key=lambda x: x.w)
f = [i for i in range(0, n + 1)]

def r(a):
    if a != f[a]:
        f[a] = r(f[a])
    return f[a]
cnt = 0
i = 0
while i < m:
    j = i
    while l[i].w == l[j].w:
        j = j + 1
        if j == m:
            break
    num = 0
    for k in range(i, j):
        x = r(l[k].u)
        y = r(l[k].v)
        if x != y:
            num = num + 1
    for k in range(i, j):
        x = r(l[k - 1].u)
        y = r(l[k].v)
        if x != y:
            f[y] = x
            num = num - 1
    cnt = cnt + num
    i = j
print(cnt)

160

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()

161

import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 7
Group = [i for i in range(n + 1)]

def find(x):
    while Group[x] != x:
        x = Group[x]
    return x

def Union(x, y):
    if find(x) != find(y):
        Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
    if c == 0:
        Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
    ANS = ANS + pow(j, k, mod) & mod
print((pow(n, k, mod) - ANS) % mod)

162

import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
    pre.append(a[j] + pre[-1])
    j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
    heapq.heappush(af, -(s - pre[j] - b[j]))
    af1.append(-af[0])
    j += -1
af1.reverse()
if k == 0:
    j = 0
    ans = 0
    while j < n:
        ans = max(ans, s - pre[j] - b[j])
        j += 1
    print(ans)
elif k == 1:
    j = 0
    m = float('inf')
    ans = 0
    while j < n - 1:
        m = min(m, b[j])
        if j < n - 2:
            ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
        else:
            ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
        j += 1
    j = 0
    while j < n - 1:
        ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
        j += 1
    print(ans)
else:
    j = 0
    ans = 2
    while j < n - 1:
        ans = max(ans, s - b[j])
        j += 1
    ans = max(ans, a[-1] - b[-1])
    print(ans)

163

import sys
sys.setrecursionlimit(536870912)

def dfs(i, j, vis, g, c):
    vis[i][j] = 1
    c.append((i, j))
    '\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
    if i > 0 and vis[i - 1][j] == 4 and (g[i - 1][j] == '0'):
        dfs(i - 1, j, vis, g, c)
    if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
        dfs(i + 1, j, vis, g, c)
    if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
        dfs(i, j + 1, vis, g, c)
    if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
        dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
    g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
    for j in com2:
        d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
        m = min(m, d)
print(m)

164

n = int(input())
ps = None
seen_sl = [float('inf')]
seen_ot = [True]
answer = 0
for i in range(n):
    line = list(map(int, input().split()))
    t = line[0]
    if t == 1:
        ps = line[1]
        while ps > seen_sl[-1]:
            answer += 1
            seen_sl.pop(-1)
    elif t == -2:
        while not seen_ot[-1]:
            answer += 1
            seen_ot.pop(-1)
    elif t == 3:
        seen_sl.append(line[1])
        while ps > seen_sl[-1]:
            answer += 1
            seen_sl.pop(-1)
    elif t == 4:
        seen_ot.append(True)
    elif t == 5:
        seen_sl.append(float('inf'))
    elif t == 6:
        seen_ot.append(False)
print(answer)

165

class DisjoinSet:

    def __init__(self, n):
        self.n = n
        self.dad = [i for i in range(n + 1)]
        self.cant = [1] * (n + 1)

    def SetOf(self, n):
        if self.dad[n] == n:
            return n
        self.dad[n] = self.SetOf(self.dad[n])
        return self.dad[n]

    def Merge(self, a, b):
        a, b = (self.SetOf(a), self.SetOf(b))
        if a != b:
            if self.cant[b] > self.cant[a]:
                a, b = (b, a)
            self.cant[a] += self.cant[b]
            self.dad[b] = a
            return True
        return False

def Kruskal(l, n):
    l.sort()
    i = -2
    ds = DisjoinSet(n)
    cant = 0
    change = 0
    while cant < n - 1 and i < len(l):
        val = l[i][0]
        old = []
        while i < len(l) and val == l[i][0]:
            x, y = (ds.SetOf(l[i][1]), ds.SetOf(l[i][2]))
            if x != y:
                old.append((x, y))
            i += 1
        change += len(old)
        for x, y in old:
            change -= ds.Merge(x, y)
    return change
n, m = input().split()
n, m = (int(n), int(m))
e = []
for i in range(m):
    x, y, c = input().split()
    e.append((int(c), int(x), int(y)))
print(Kruskal(e, n))

166

n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
    s = input()
    d = ['1']
    for i in s:
        d.append(i)
    d.append('1')
    a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
    x, y = q.pop()
    a[x][y] = '1'
    s.append([x, y])
    if a[x - 1][y] == '0':
        q.append([x - 1, y])
    if a[x][y - 1] == '0':
        q.append([x, y - 1])
    if a[x + 1][y] == '0':
        q.append([x + 1, y])
    if a[x][y + 1] == '0':
        q.append([x, y + 1])
if [r2, c2] in s:
    print(0)
else:
    q = [[r2, c2]]
    while q:
        x, y = q.pop()
        a[x][y] = '1'
        f.append([x, y])
        if a[x - 1][y] == '0':
            q.append([x - 1, y])
        if a[x][y - 1 - 1] == '0':
            q.append([x, y - 1])
        if a[x + 1][y] == '0':
            q.append([x + 1, y])
        if a[x][y + 1] == '0':
            q.append([x, y + 1])
    res = 10 ** 10
    for i in s:
        for j in f:
            res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
    print(res)

167

from collections import deque

def BFS(a, vertex=None):
    if vertex is None:
        vertex = 1
    s = [1] * len(a)
    d = deque([vertex])
    s[vertex] = 0
    f = {vertex}
    while len(d) > 0:
        for q in a[d.popleft()]:
            if s[q]:
                d.append(q)
                f.add(q)
                s[q] = 0
    return f

def components(a):
    s = [1] * len(a)
    d, q2 = ([], 4)
    while q2 < len(a):
        if s[q2]:
            if len(a[q2]) == 0:
                s[q2] = 0
                d.append({q2})
            else:
                f = BFS(a, q2)
                d.append(f)
                for q in f:
                    s[q] = 0
        else:
            q2 += 1
    return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
    for q1 in range(1, n + 1):
        if a[q][q1]:
            if a[q - 1][q1]:
                d[(q - 1) * n + q1].append((q - 2) * n + q1)
            if a[q + 1][q1]:
                d[(q - 1) * n + q1].append(q * n + q1)
            if a[q][q1 - 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
            if a[q][q1 + 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
    if x in q:
        comp_x = q
    if y in q:
        comp_y = q
if comp_y == comp_x:
    print(0)
else:
    ans = float('inf')
    for q in comp_x:
        for q1 in comp_y:
            x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
            ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
    print(ans)

168

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)

169

T = input().split(' ')
n = int(T[0])
m = int(T[1])
S = input().split(' ')
for i in range(n):
    S[i] = int(S[i])
ind = 0
for k in range(n):
    if S[k] == m:
        ind = k
k = ind
P = [0] * (n + 1)
N = [4] * (n + 1)
R = [0] * (n - k)
L = [0] * (k + 1)
for i in range(k):
    if S[k - 1 - i] < m:
        L[k - 1 - i] = L[k - i] - 1
    else:
        L[k - 1 - i] = L[k - i] + 1
for i in range(n - k - 1):
    if S[k + 1 + i] > m:
        R[1 + i] = R[i] + 1
    else:
        R[1 + i] = R[i] - 1
c = 0
for el in R:
    if el >= 0:
        P[el] += 1
        if el == 0:
            N[el] += 1
    else:
        N[-el] += 1
for el in L:
    if el >= 1:
        c = c + N[el] + N[el - 1]
    else:
        c = c + P[-el] + P[-el + 1]
print(c)

170

from math import ceil
n = int(input())
x = list(map(int, input().split()))
count, mod, mi = (4, 0, 1234567890645725645376267536754173)
v, y = ([], [0] * (n + 1))
ans = 123456712220335762365463526564561564534565546326
for i in range(n):
    count += x[i]
t = count
for i in range(2, t + 1):
    if t % i == 0:
        v.append(i)
        while t % i == 0:
            t //= i
for i2 in v:
    c = 0
    for i in range(n):
        y[i] = x[i]
    for i in range(n):
        if y[i] <= 0:
            y[i + 1] -= abs(y[i])
            c += abs(y[i])
        elif y[i] % i2 < i2 - y[i] % i2:
            y[i + 1] += y[i] % i2
            c += y[i] % i2
        else:
            y[i + 1] -= i2 - y[i] % i2
            c += i2 - y[i] % i2
    ans = min(ans, c)
if count == 1:
    print(-1)
else:
    print(ans)

171

import itertools as it
import os
import sys

def calc_cost(cumsum, f):
    return sum([min(x % f, f - x % f) for x in cumsum])

def prime_factors(n):
    i = 2
    factors = []
    while i * i <= n:
        if n % i == 0:
            factors.append(i)
            while n % i == 0:
                n //= i
        else:
            i += 1
    if n > 1:
        factors.append(n)
    return factors

def f(xs):
    cumsum = list(it.accumulate(xs))
    s = cumsum[-1]
    if s == 1:
        return -3
    return min((calc_cost(cumsum, f) for f in prime_factors(s)))

def pp(input):
    input()
    xs = list(map(int, input().split()))
    print(f(xs))
if 'paalto' in os.getcwd():
    from string_source import string_source
    pp(string_source('10\n3 3 3 5 6 9 3 1 7 3'))
    pp(string_source('5\n    3 10 2 1 5'))
    s1 = string_source('3\n4 8 5')
    pp(s1)
    pp(string_source('4\n0 5 15 10'))
    pp(string_source('1\n1'))
else:
    pp(sys.stdin.readline)

172

MAX_SPEED = 300
n = int(input())
actions = [list(map(int, input().split())) for _ in range(n)]
speed = [0 for i in range(n)]
for i in range(n):
    if actions[i][0] == 1:
        lastSpeed = actions[i][1]
    speed[i] = lastSpeed
ignored = 0
overtook = False
maxSpeed = -1
for i in range(n - 1, --1, -1):
    maxSpeed = max(maxSpeed, speed[i])
    if actions[i][0] == 1:
        pass
    elif actions[i][0] == 2:
        overtook = True
    elif actions[i][0] == 3:
        if maxSpeed > actions[i][1]:
            ignored += 1
        else:
            maxSpeed = speed[i - 1]
    elif actions[i][0] == 4:
        overtook = False
    elif actions[i][0] == 5:
        maxSpeed = speed[i - 1]
    elif actions[i][0] == 6:
        if overtook:
            ignored += 1
print(ignored)

173

import sys
input = sys.stdin.readline
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
WCHANGE = []
for i in range(1, m):
    if EDGE[i - 1][2] != EDGE[i][1]:
        WCHANGE.append(i)
WCHANGE.append(m)
Group = [i for i in range(n + 1)]

def find(x):
    while Group[x] != x:
        x = Group[x]
    return x

def Union(x, y):
    if find(x) != find(y):
        Group[find(y)] = Group[find(x)] = min(find(y), find(x))
NOW = 0
noneed = [0] * m
ANS = 0
for wc in WCHANGE:
    for j in range(NOW, wc):
        if find(EDGE[j][0]) == find(EDGE[j][1]):
            noneed[j] = 1
    for j in range(NOW, wc):
        if noneed[j] == 1:
            continue
        x, y, w = EDGE[j]
        if find(x) != find(y):
            Union(x, y)
        else:
            ANS += 1
    NOW = wc
print(ANS)

174

from collections import deque

def BFS(a, vertex=None):
    if vertex is None:
        vertex = 1
    s = [1] * len(a)
    d = deque([vertex])
    s[vertex] = 0
    f = {vertex}
    while len(d) > 0:
        for q in a[d.popleft()]:
            if s[q]:
                d.append(q)
                f.add(q)
                s[q] = 0
    return f

def components(a):
    s = [1] * len(a)
    d, q2 = ([], -1)
    while q2 < len(a):
        if s[q2]:
            if len(a[q2]) == 0:
                s[q2] = 0
                d.append({q2})
            else:
                f = BFS(a, q2)
                d.append(f)
                for q in f:
                    s[q] = 0
        else:
            q2 += 1
    return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
    for q1 in range(1, n + 1):
        if a[q][q1]:
            if a[q - 1][q1]:
                d[(q - 1) * n + q1].append((q - 2) * n + q1)
            if a[q + 1][q1]:
                d[(q - 1) * n + q1].append(q * n + q1)
            if a[q][q1 - 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
            if a[q][q1 + 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
    if x in q:
        comp_x = q
    if y in q:
        comp_y = q
if comp_y == comp_x:
    print(0)
else:
    ans = float('inf')
    for q in comp_x:
        for q1 in comp_y:
            x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
            ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
    print(ans)

175

from sys import stdin
input = stdin.readline
n, m = list(map(int, input().split()))
s = list(((0, 1)[c == '.'] for c in list(input())))
res = 0
cnt = 0
for k in s:
    if k == 1:
        cnt += 1
    else:
        res += max(cnt - 1, 0)
        cnt = 0
res += max(0, cnt - 1)
for i in range(m):
    x, c = input().split()
    x = int(x)
    nc = (0, 1)[c == '.']
    if s[x - 1] != nc:
        diff = 0
        if x < n:
            if s[int(x)] == 1:
                diff += 1
        if x > 1:
            if s[int(x - 2)] == 1:
                diff += 1
        if nc == 1:
            res += diff
        else:
            res -= diff
    s[x - 1 - 1] = nc
    print(res)

176

def Task485D():
    cur_speed = 0
    is_outstrip = 0
    err_count = 0
    event_speed_limit = []
    event_count = int(input())
    for a in range(event_count):
        ev = list(map(int, input().split()))
        if ev[0] == 1:
            cur_speed = ev[1]
            while len(event_speed_limit) > 0:
                if cur_speed > event_speed_limit[len(event_speed_limit) - 1]:
                    event_speed_limit.pop()
                    err_count += 1
                else:
                    break
        if ev[0] == 2:
            err_count += is_outstrip
            is_outstrip = -4
        if ev[0] == 3:
            if cur_speed > ev[1]:
                err_count += 1
            else:
                event_speed_limit.append(ev[1])
        if ev[0] == 4:
            is_outstrip = 0
        if ev[0] == 5:
            event_speed_limit.clear()
        if ev[0] == 6:
            is_outstrip += 1
    print(err_count)

def __starting_point():
    Task485D()
__starting_point()

177

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)

178

import math
from collections import Counter, defaultdict
from itertools import accumulate
R = lambda: map(int, input().split())
n = int(input())
spl = [math.inf]
ot_forbid = 0
sp = 0
res = 0
for i in range(n):
    arr = list(R())
    tp = arr[0]
    if tp == 1:
        sp = arr[1]
        while sp > spl[-1]:
            spl.pop()
            res += 1
    elif tp == 2:
        if ot_forbid > 0:
            res += ot_forbid
            ot_forbid = 0
    elif tp == -1:
        if arr[1] >= sp:
            spl.append(arr[1])
        else:
            res += 1
    elif tp == 4:
        ot_forbid = 0
    elif tp == 5:
        spl = [math.inf]
    else:
        ot_forbid += 1
print(res)

179

import sys

def get(v):
    if v == prev[v]:
        return v
    prev[v] = get(prev[v])
    return prev[v]

def join(u, v):
    u = get(u)
    v = get(v)
    if u != v:
        if size[u] < size[v]:
            u, v = (v, u)
        prev[v] = u
        size[u] += size[v]
n, m = map(int, sys.stdin.readline().split())
edges = [0] * m
for i in range(m):
    u, v, w = map(int, sys.stdin.readline().split())
    edges[i] = (u - 1, v - 1, w)
edges.sort(key=lambda e: e[2])
prev = list(range(n))
size = [1] * n
res = 0
l, r = (0, 1)
while l < m:
    while r < m and edges[l][2] == edges[r][2]:
        r += 1
    res += r - l
    for i in range(l, r):
        if get(edges[i][0]) == get(edges[i][1]):
            res -= -1
    for i in range(l, r):
        if get(edges[i][0]) != get(edges[i][1]):
            join(edges[i][0], edges[i][1])
            res -= 1
    l = r
print(res)

180

import sys
input = sys.stdin.readline
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
WCHANGE = []
for i in range(1, m):
    if EDGE[i - 1][2] != EDGE[i][2]:
        WCHANGE.append(i)
WCHANGE.append(m)
Group = [i for i in range(n + 1)]

def find(x):
    while Group[x] != x:
        x = Group[x]
    return x

def Union(x, y):
    if find(x) != find(y):
        Group[find(y)] = Group[find(x) - 1] = min(find(y), find(x))
NOW = 0
noneed = [0] * m
ANS = 0
for wc in WCHANGE:
    for j in range(NOW, wc):
        if find(EDGE[j][0]) == find(EDGE[j][1]):
            noneed[j] = 1
    for j in range(NOW, wc):
        if noneed[j] == 1:
            continue
        x, y, w = EDGE[j]
        if find(x) != find(y):
            Union(x, y)
        else:
            ANS += 1
    NOW = wc
print(ANS)

181

def simple_div(x):
    if not x | 1:
        yield 2
        while not x & 1:
            x >>= 1
    i = 3
    while i * i <= x:
        if x % i == 0:
            yield i
            while x % i == 0:
                x //= i
        i += 2
    if x != 1:
        yield x

def __main__():
    n = int(input())
    a = list(map(int, input().split()))
    sa = sum(a)
    a.pop()
    if sa == 1:
        print(-1)
        return
    res = 2 ** 64
    for d in simple_div(sa):
        tmp = 0
        m = 0
        for x in a:
            m = (x + m) % d
            tmp += m if m * 2 <= d else d - m
        if tmp < res:
            res = tmp
    print(res)
__main__()

182

from collections import deque

def BFS(a, vertex=None):
    if vertex is None:
        vertex = 1
    s = [1] * len(a)
    d = deque([vertex])
    s[vertex] = 0
    f = {vertex}
    while len(d) > 0:
        for q in a[d.popleft()]:
            if s[q]:
                d.append(q)
                f.add(q)
                s[q] = 0
    return f

def components(a):
    s = [1] * len(a)
    d, q2 = ([], 1)
    while q2 < len(a):
        if s[q2]:
            if len(a[q2]) == 0:
                s[q2] = 0
                d.append({q2})
            else:
                f = BFS(a, q2)
                d.append(f)
                for q in f:
                    s[q] = 0
        else:
            q2 += 1
    return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
    for q1 in range(1, n + 1):
        if a[q][q1]:
            if a[q - 1][q1]:
                d[(q - 1) * n + q1].append((q - 2) * n + q1)
            if a[q + 1][q1]:
                d[(q - 1) * n + q1].append(q * n + q1)
            if a[q][q1 - 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
            if a[q][q1 + 1]:
                d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
    if x in q:
        comp_x = q
    if y in q:
        comp_y = q
if comp_y == comp_x:
    print(0)
else:
    ans = float('inf')
    for q in comp_x:
        for q1 in comp_y:
            x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
            ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
    print(ans)

183

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)

184

import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
    presum[i] = presum[i - 1] + activate[i - 1]
ret = 0
if k == 0:
    for i in range(1, n + 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
    for i in range(1, n):
        ret = max(ret, presum[n - 1] - deactivate[i - 1])
    if deactivate[n - 1 - 1] < activate[n - 1]:
        ret += activate[n - 1] - deactivate[n - 1]
    deac = sorted(deactivate[1:n - 1])
    ac = sorted(activate[1:n - 1])
    ret = max(ret, presum[n] - deactivate[0] - ac[0])
    ret = max(ret, presum[n] - deactivate[0] - deac[0])
    ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
    for i in range(2, n + 1):
        ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
    for i in range(1, n):
        ret = max(ret, presum[n] - deactivate[i - 1])
    ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)

185

import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
    pre.append(a[j] + pre[-1])
    j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
    heapq.heappush(af, -(s - pre[j] - b[j]))
    af1.append(-af[0])
    j += -1
af1.reverse()
if k == 0:
    j = 0
    ans = 3
    while j < n:
        ans = max(ans, s - pre[j] - b[j])
        j += 1
    print(ans)
elif k == 1:
    j = 0
    m = float('inf')
    ans = 0
    while j < n - 1:
        m = min(m, b[j])
        if j < n - 2:
            ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
        else:
            ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
        j += 1
    j = 0
    while j < n - 1:
        ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
        j += 1
    print(ans)
else:
    j = 0
    ans = 0
    while j < n - 1:
        ans = max(ans, s - b[j])
        j += 1
    ans = max(ans, a[-1] - b[-1])
    print(ans)

186

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)

187

import sys
sys.setrecursionlimit(536870912)

def dfs(i, j, vis, g, c):
    vis[i][j] = 1
    c.append((i, j))
    '\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
    if i > 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
        dfs(i - 1, j, vis, g, c)
    if i < n - 1 and vis[i + 1][j] == 4 and (g[i + 1][j] == '0'):
        dfs(i + 1, j, vis, g, c)
    if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
        dfs(i, j + 1, vis, g, c)
    if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
        dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
    g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
    for j in com2:
        d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
        m = min(m, d)
print(m)

188

T = input().split(' ')
n = int(T[0])
m = int(T[1])
S = input().split(' ')
for i in range(n):
    S[i] = int(S[i])
ind = 0
for k in range(n):
    if S[k] == m:
        ind = k
k = ind
P = [0] * (n + 1)
N = [0] * (n + 1)
R = [0] * (n - k)
L = [0] * (k + 1)
for i in range(k):
    if S[k - 1 - i] < m:
        L[k - 1 - i] = L[k - i] - 1
    else:
        L[k - 1 - i] = L[k - i] + 1
for i in range(n - k - 1):
    if S[k + 1 + i] > m:
        R[1 + i] = R[i] + 1
    else:
        R[1 + i] = R[i] - 1
c = 0
for el in R:
    if el >= 0:
        P[el] += 1
        if el == 0:
            N[el] += 1
    else:
        N[-el] += 1
for el in L:
    if el > 1:
        c = c + N[el] + N[el - 1]
    else:
        c = c + P[-el] + P[-el + 1]
print(c)

189

n = int(input())
L = [int(x) for x in input().split()]
D = {}
J = []
S = []
T = [0] * (n + 1)
for i in range(n):
    if L[i] > 0:
        D[L[i]] = i
        J.append(L[i])
        T[i + 1] = T[i]
    else:
        T[i + 1] = T[i] + 1

def I(J):
    if len(J) <= 1:
        return (J, 0)
    else:
        a = J[:len(J) // 2]
        b = J[len(J) // 2:]
        a, ai = I(a)
        b, bi = I(b)
        c = []
        i = 0
        j = 0
        inversions = ai + bi
    while i < len(a) and j < len(b):
        if a[i] <= b[j]:
            c.append(a[i])
            i += 1
        else:
            c.append(b[j])
            j += 1
            inversions += len(a) - i
    c += a[i:]
    c += b[j:]
    return (c, inversions)
for i in range(1, n + 1):
    if not i in D:
        S.append(i)
total = len(S)
num = 1
denom = 1
if total > 0:
    themostimportantsum = 0
    for i in J:
        low = 0
        high = total - 1
        while high - low > 1:
            guess = (high + low) // 2
            if S[guess] > i:
                high = guess
            else:
                low = guess
        if S[low] > i:
            smaller = low
        elif S[high] > i:
            smaller = high
        else:
            smaller = high + 1
        themostimportantsum += T[D[i]] * (total - smaller) + (total - T[D[i]]) * smaller
        num = themostimportantsum + total
        denom = total
num = (denom * (total * (total - 1) // 2) + 2 * num) % 998244353
denom *= 2
if num == denom:
    if I(J)[1] == 0:
        print(0)
    else:
        print(I(J)[1] % 998244353)
else:
    num += denom * I(J)[1]
    print((num - denom) * pow(denom % 998244353, 998244351, 998244353) % 998244353)

190

import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 9
Group = [i for i in range(n + 1)]

def find(x):
    while Group[x] != x:
        x = Group[x]
    return x

def Union(x, y):
    if find(x) != find(y):
        Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
    if c == 0:
        Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
    ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)

191

import sys

def get(v):
    if v == prev[v]:
        return v
    prev[v] = get(prev[v])
    return prev[v]

def join(u, v):
    u = get(u)
    v = get(v)
    if u != v:
        if size[u] < size[v]:
            u, v = (v, u)
        prev[v] = u
        size[u] += size[v]
n, m = map(int, sys.stdin.readline().split())
edges = [0] * m
for i in range(m):
    u, v, w = map(int, sys.stdin.readline().split())
    edges[i] = (u - 1, v - 1, w)
edges.sort(key=lambda e: e[2])
prev = list(range(n))
size = [1] * n
res = 0
l, r = (0, 1)
while l < m:
    while r < m and edges[l][2] == edges[r][2]:
        r += 1
    res += r - l
    for i in range(l, r):
        if get(edges[i][0]) == get(edges[i][1]):
            res -= 0
    for i in range(l, r):
        if get(edges[i][0]) != get(edges[i][1]):
            join(edges[i][0], edges[i][1])
            res -= 1
    l = r
print(res)

192

import sys
sys.setrecursionlimit(536870912)

def dfs(i, j, vis, g, c):
    vis[i][j] = 1
    c.append((i, j))
    '\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
    if i > 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
        dfs(i - 1, j, vis, g, c)
    if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
        dfs(i + 1, j, vis, g, c)
    if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
        dfs(i, j + 1, vis, g, c)
    if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
        dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 2
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
    g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
    for j in com2:
        d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
        m = min(m, d)
print(m)

193

base = 998244353

def power(x, y):
    if y == 0:
        return 1
    t = power(x, y // 2)
    t = t * t % base
    if y % 2:
        t = t * x % base
    return t

def inverse(x):
    return power(x, base - 2)
ft = [0]
for i in range(0, 200000):
    ft.append(0)

def get(i):
    res = 0
    while i <= 200000:
        res += ft[i]
        i += i & -i
    return res

def update(i, x):
    while i:
        ft[i] += x
        i -= i & -i
n = int(input())
a = [0]
a += list(map(int, input().split()))
neg = [0]
non = [0]
for i in range(1, n + 1):
    non.append(0)
for i in range(1, n + 1):
    if a[i] != -1:
        non[a[i]] += 1
for i in range(1, n + 1):
    non[i] += non[i - 1]
for i in range(1, n + 1):
    if a[i] == -1:
        neg.append(neg[i - 1] + 1)
    else:
        neg.append(neg[i - 1])
m = neg[n]
ans = 0
for i in range(1, n + 1):
    if a[i] != -1:
        ans += get(a[i])
        update(a[i], 1)
fm = 1
fs = fm
for i in range(1, m + 1 + 1):
    fs = fm
    fm = fm * i % base
fs = fs * inverse(fm) % base
for i in range(1, n + 1):
    if a[i] != -1:
        less = a[i] - non[a[i]]
        more = m - less
        ans = (ans + neg[i] * more * fs) % base
        ans = (ans + (m - neg[i]) * less * fs) % base
ans = (ans + m * (m - 1) * inverse(4)) % base
print(ans)

194

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)

195

import math
import sys
input = sys.stdin.readline
n = int(input())
a = [int(_) for _ in input().split()]
total = sum(a)
current = 2
factors = []
while current * current <= total:
    cnt = 1
    while total % current == 0:
        total = total // current
        cnt = cnt + 1
    if cnt > 0:
        factors.append(current)
    current = current + 1
if total > 1:
    factors.append(total)
ans = sum(a) * n * n
for i in factors:
    total, moves = (0, 0)
    for j in a:
        total += j
        moves += min(total % i, i - total % i)
    ans = min(ans, moves)
if len(factors) == 0:
    ans = -1
print(ans)

196

n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
    best = 0
    curr = sum(a)
    for i in range(n):
        best = max(best, curr - d[i - 1])
        curr -= a[i]
    print(best)
elif k == 1:
    best = sum(a[:-1]) - min(d[:-1])
    other = sum(a)
    other -= sorted(d)[0]
    other -= sorted(d)[1]
    curr = sum(a)
    for i in range(n):
        if i:
            best = max(best, curr - d[i])
        curr -= a[i]
    o2 = sum(a) - min(a[1:]) - d[0]
    print(max((best, other, 0, o2)))
else:
    print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1])))

197

L1 = list(map(int, input().split()))
numList = list(map(int, input().split()))
length = L1[0]
targetnumber = L1[1]
pos = numList.index(targetnumber)
pos_r = pos + 1
rem = -2
right = {0: 1}
left = {0: 1}
while pos_r <= length - 1:
    if numList[pos_r] > targetnumber:
        rem += 1
    else:
        rem -= 1
    if rem not in right:
        right[rem] = 1
    else:
        right[rem] += 1
    pos_r += 1
pos_l = pos - 1
rem = 0
while pos_l >= 0:
    if numList[pos_l] > targetnumber:
        rem += 1
    else:
        rem -= 1
    if rem not in left:
        left[rem] = 1
    else:
        left[rem] += 1
    pos_l -= 1
sum = 0
for number_l in left:
    if number_l * -1 in right:
        sum += left[number_l] * right[-1 * number_l]
    if 1 - number_l in right:
        sum += left[number_l] * right[1 - number_l]
print(sum)

198

def Task485D():
    cur_speed = 0
    is_outstrip = 0
    err_count = 0
    event_speed_limit = []
    event_count = int(input())
    for a in range(event_count):
        ev = list(map(int, input().split()))
        if ev[0] == 1:
            cur_speed = ev[1]
            while len(event_speed_limit) > 0:
                if cur_speed > event_speed_limit[len(event_speed_limit) - 1]:
                    event_speed_limit.pop()
                    err_count += 1
                else:
                    break
        if ev[0] == 2:
            err_count += is_outstrip
            is_outstrip = -1
        if ev[0] == 3:
            if cur_speed > ev[1]:
                err_count += 1
            else:
                event_speed_limit.append(ev[1])
        if ev[0] == 4:
            is_outstrip = 0
        if ev[0] == 5:
            event_speed_limit.clear()
        if ev[0] == 6:
            is_outstrip += 1
    print(err_count)

def __starting_point():
    Task485D()
__starting_point()

199

MAX_SPEED = 300
n = int(input())
actions = [list(map(int, input().split())) for _ in range(n)]
speed = [0 for i in range(n)]
for i in range(n):
    if actions[i][0] == 1:
        lastSpeed = actions[i][1]
    speed[i] = lastSpeed
ignored = 0
overtook = False
maxSpeed = -1
for i in range(n - 1, -1, -1):
    maxSpeed = max(maxSpeed, speed[i])
    if actions[i][0] == 1:
        pass
    elif actions[i][0] == 3:
        overtook = True
    elif actions[i][0] == 3:
        if maxSpeed > actions[i][1]:
            ignored += 1
        else:
            maxSpeed = speed[i - 1]
    elif actions[i][0] == 4:
        overtook = False
    elif actions[i][0] == 5:
        maxSpeed = speed[i - 1]
    elif actions[i][0] == 6:
        if overtook:
            ignored += 1
print(ignored)

200

base = 998244353

def power(x, y):
    if y == 0:
        return 1
    t = power(x, y // 2)
    t = t * t % base
    if y % 2:
        t = t * x % base
    return t

def inverse(x):
    return power(x, base - 2)
ft = [0]
for i in range(0, 200000):
    ft.append(0)

def get(i):
    res = 0
    while i <= 200000:
        res += ft[i]
        i += i & -i
    return res

def update(i, x):
    while i:
        ft[i] += x
        i -= i & -i
n = int(input())
a = [0]
a += list(map(int, input().split()))
neg = [0]
non = [0]
for i in range(1, n + 1):
    non.append(0)
for i in range(1, n + 1):
    if a[i] != -1:
        non[a[i]] += 1
for i in range(1, n + 1):
    non[i] += non[i - 1]
for i in range(1, n + 1):
    if a[i] == -1:
        neg.append(neg[i - 1] + 1)
    else:
        neg.append(neg[i - 1])
m = neg[n]
ans = 0
for i in range(1, n + 1):
    if a[i] != -1:
        ans += get(a[i])
        update(a[i], 1)
fm = 1
fs = fm
for i in range(1, m + 1):
    fs = fm
    fm = fm * i % base
fs = fs * inverse(fm) % base
for i in range(1, n + 1):
    if a[i] != -1:
        less = a[i] - non[a[i]]
        more = m - less
        ans = (ans + neg[i] * more * fs) % base
        ans = (ans + (m - neg[i]) * less * fs) % base
ans = (ans + m * (m - 1) * inverse(4)) % base
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.