tasks/equivalent-program-pair-search/contexts/sample-00044.md

### 001

```python
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
    b, p, ft = input().split()
    b, p = (int(b), int(p))
    f = (p, b)
    if ft == 'C':
        if p <= tc:
            fc.append(f)
            mbc = max(mbc, b)
    elif p <= td:
        fd.append(f)
        mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)

def pick2(fc, tc):
    bf = []
    maxb = 0
    ans = 0
    for f in fc:
        p, b = f
        maxpp = tc - p
        ii = bisect_left(bf, (maxpp + 1, 0)) - 1
        if ii > 0:
            pp, bb = bf[ii]
            ans = max(ans, bb + b)
        if b > maxb:
            bf.append(f)
            maxb = b
    return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
```

### 002

```python
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
    b, p, t = input().split()
    b = int(b)
    p = int(p)
    a[i] = [b, p, t]
    if t == 'C':
        sc.append([p, b])
    else:
        sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
    if a[i][2] == 'C' and a[i][1] <= c:
        maxc = max(maxc, a[i][0])
    if a[i][2] == 'D' and a[i][1] <= d:
        maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
    scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if not sc[m][0] <= c - sc[i][0]:
            l = m
        else:
            r = m
    ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
    sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if sd[m][0] <= d - sd[i][0]:
            l = m
        else:
            r = m
    ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
```

### 003

```python
def main(s):
    if len(s) == 0:
        return []
    if len(s) == 1:
        return [[s], [1]]
    s = s[::-1]
    sres = [s[0]]
    nres = [1]
    if s[0] == s[1]:
        sres.append('')
        nres.append(0)
    else:
        sres.append(s[1] + s[0])
        nres.append(2)
    for i in range(2, len(s)):
        st = s[i] + sres[-1]
        nt = nres[-1] + 1
        if nt > 10:
            st = st[:5] + '...' + st[-2:]
        if s[i] == s[i - 1] and st >= sres[-1]:
            st = sres[-2]
            nt = nres[-2]
        sres.append(st)
        nres.append(nt)
    return [sres, nres]
s = input()
sres, nres = main(s)
for i in range(len(s) - 1, -1, -1):
    print(nres[i], sres[i])
```

### 004

```python
def read(type=1):
    if type:
        file = open('input.dat', 'r')
        n = int(file.readline())
        a = list(map(int, file.readline().split()))
        b = file.readline()
        file.close()
    else:
        n = int(input().strip())
        a = list(map(int, input().strip().split()))
        b = input().strip()
    return (n, a, b)

def solve():
    sol = 0
    e = 0
    big = 0
    g = 0
    for i in range(n):
        if b[i] == 'W':
            big = 1
            sol += 3 * a[i]
            e += a[i]
        if b[i] == 'G':
            sol += 5 * a[i - 1]
            e += a[i]
            g += 2 * a[i]
        if b[i] == 'L':
            sol += a[i]
            e -= a[i]
            if e < 0:
                if big:
                    sol -= 3 * e
                else:
                    sol -= 5 * e
                e = 0
        g = min(g, e)
    if e:
        sol -= 2 * g
        sol -= e - g
    return int(sol)
n, a, b = read(0)
sol = solve()
print(sol)
```

### 005

```python
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path

def console(*args):
    pass
if path.exists('input.txt'):
    sys.stdin = open('input.txt', 'r')
    sys.stdout = open('output.txt', 'w')

    def console(*args):
        pass
inp = sys.stdin.readlines()

def solve(*args):
    console('----- solving ------')
    console(*args)
    console('----- ------- ------')
    return solve_(*args)

def solve_(grid, sx, sy, ex, ey):
    console('----- solving ------')
    minres = abs(sx - ex) + abs(sy - ey)
    console(minres)
    if grid == []:
        return minres
    d = defaultdict(list)
    grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
    grid = sorted(grid, key=lambda x: x[1])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
        d[i1].append((i2, x2 - x1))
        d[i2].append((i1, x2 - x1))
    grid = sorted(grid, key=lambda x: x[2])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
        d[i1].append((i2, y2 - y1))
        d[i2].append((i1, y2 - y1))
    for i, x, y in grid:
        d[-2].append((i, abs(x - sx)))
        d[-2].append((i, abs(y - sy)))
        d[i].append((-1, abs(x - ex) + abs(y - ey)))
    d[-1] = []
    console(list(d.keys()))
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    return min(minres, dijkstra_with_preprocessing(d, -2, -1))

def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
    d = map_from_node_to_nodes_and_costs
    if target not in d:
        d[-1] = []
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    _, costs = dijkstra(G, idxs[source])
    return costs[idxs[target]]

def dijkstra(G, s):
    n = len(G)
    visited = [False] * n
    weights = [math.inf] * n
    path = [None] * n
    queue = []
    weights[s] = 0
    hq.heappush(queue, (0, s))
    while len(queue) > 0:
        g, u = hq.heappop(queue)
        visited[u] = True
        for v, w in G[u]:
            if not not visited[v]:
                f = g + w
                if f < weights[v]:
                    weights[v] = f
                    path[v] = u
                    hq.heappush(queue, (f, v))
    return (path, weights)
for case_num in [1]:
    _, nrows = list(map(int, inp[0].split()))
    sx, sy, ex, ey = list(map(int, inp[1].split()))
    grid = []
    for z in range(nrows):
        grid.append(list(map(int, inp[z + 2].split())))
    res = solve(grid, sx, sy, ex, ey)
    print(res)
```

### 006

```python
from sys import stdin
from math import *
line = stdin.readline().rstrip().split()
n = int(line[0])
numbers = list(map(int, stdin.readline().rstrip().split()))
numbers2 = list(map(int, stdin.readline().rstrip().split()))
growRateAccum = 0
topAccum = 0
bottomAccum = 0
accumsB = [0] * n
accumsT = [0] * n
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
    accum *= numbers[i] * ((n - i) * 2 - 1 - 1)
    growRateAccum += numbers[i]
    if i < n - 1:
        growRateAccum += numbers2[i + 1]
    accum += growRateAccum
    accumsB[i] = accum
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
    accum += numbers2[i] * ((n - i) * 2 - 1 - 1)
    growRateAccum += numbers2[i]
    if i < n - 1:
        growRateAccum += numbers[i + 1]
    accum += growRateAccum
    accumsT[i] = accum
cMax = 0
currAccum = 0
growRateAccum = sum(numbers[1:]) + sum(numbers2[1:])
for i in range(n):
    if i % 2 == 0:
        cMax = max(cMax, currAccum + accumsT[i])
    else:
        cMax = max(cMax, currAccum + accumsB[i])
    if i < n - 1:
        if i % 2 == 0:
            currAccum += numbers2[i] + growRateAccum * 2
        else:
            currAccum += numbers[i] + growRateAccum * 2
        growRateAccum -= numbers[i + 1]
        growRateAccum -= numbers2[i + 1]
print(cMax)
```

### 007

```python
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]

def ans(time, x, y):
    ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
    x0, y0, m0 = WX[i - 1 + 1]
    x1, y1, m1 = WX[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
    x0, y0, m0 = WY[i - 1]
    x1, y1, m1 = WY[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
    time, town = heapq.heappop(Q)
    if time > TIME[town]:
        continue
    ans(time, W[town][0], W[town][1])
    for to, cost in EDGE[town]:
        if TIME[to] > TIME[town] + cost:
            TIME[to] = TIME[town] + cost
            heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
```

### 008

```python
bn = 0
ar = []

def binSearchMax(number):
    last = bn
    first = 0
    mid = (last + first) // 2
    while last >= first:
        if ar[mid] < number:
            first = mid + 1
        elif ar[mid] > number:
            last = mid - 1
        else:
            return mid
        mid = (last + first) // 2
    if ar[last] == number:
        return last
    return first
n, m, k, q = list(map(int, input().split()))
mmn = [[m, -1] for i in range(n)]
maxn = 0
for i in range(k):
    r, c = list(map(int, input().split()))
    r -= 1
    mmn[r][0] = min(mmn[r][0], c)
    mmn[r][1] = max(mmn[r][1], c)
    maxn = max(maxn, r)
if mmn[0][1] == -1:
    mmn[0][1] = 1
mmn[0][0] = 1
bi = list(map(int, input().split()))
bi += [-1000000000, 10000000000, -1000000000, 10000000000, 10000000000]
bi.sort()
ar = bi
bn = q + 3
dp = [[0, 0] for i in range(n)]
dp[0][1] = mmn[0][1] - mmn[0][0]
dp[0][0] = dp[0][1] * 1
z = 0
for i in range(1, n):
    if mmn[i][1] == -1:
        dp[i][0] = dp[i - 1][0]
        dp[i][1] = dp[i - 1][1]
        continue
    p1 = binSearchMax(mmn[z][0])
    p2 = bi[p1 - 1]
    p1 = bi[p1]
    p3 = binSearchMax(mmn[z][1])
    p4 = bi[p3 - 1]
    p3 = bi[p3]
    num1 = abs(p1 - mmn[i][1]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][1]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][1]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][1]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][0] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    num1 = abs(p1 - mmn[i][0]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][0]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][0]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][0]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][1] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    z = i
print(min(dp[-1]) + maxn)
```

### 009

```python
from sys import stdin
from math import *
line = stdin.readline().rstrip().split()
n = int(line[0])
numbers = list(map(int, stdin.readline().rstrip().split()))
numbers2 = list(map(int, stdin.readline().rstrip().split()))
growRateAccum = 0
topAccum = 0
bottomAccum = 0
accumsB = [0] * n
accumsT = [0] * n
growRateAccum = 0
accum = 0
for i in reversed(range(n - 1, -1, -1)):
    accum += numbers[i] * ((n - i) * 2 - 1 - 1)
    growRateAccum += numbers[i]
    if i < n - 1:
        growRateAccum += numbers2[i + 1]
    accum += growRateAccum
    accumsB[i] = accum
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
    accum += numbers2[i] * ((n - i) * 2 - 1 - 1)
    growRateAccum += numbers2[i]
    if i < n - 1:
        growRateAccum += numbers[i + 1]
    accum += growRateAccum
    accumsT[i] = accum
cMax = 0
currAccum = 0
growRateAccum = sum(numbers[1:]) + sum(numbers2[1:])
for i in range(n):
    if i % 2 == 0:
        cMax = max(cMax, currAccum + accumsT[i])
    else:
        cMax = max(cMax, currAccum + accumsB[i])
    if i < n - 1:
        if i % 2 == 0:
            currAccum += numbers2[i] + growRateAccum * 2
        else:
            currAccum += numbers[i] + growRateAccum * 2
        growRateAccum -= numbers[i + 1]
        growRateAccum -= numbers2[i + 1]
print(cMax)
```

### 010

```python
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]

def ans(time, x, y):
    ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
    x0, y0, m0 = WX[i - 1]
    x1, y1, m1 = WX[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
    x0, y0, m0 = WY[i - 1]
    x1, y1, m1 = WY[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
    time, town = heapq.heappop(Q)
    if time > TIME[town]:
        continue
    ans(time, W[town][0], W[town][1])
    for to, cost in EDGE[town - 1]:
        if TIME[to] > TIME[town] + cost:
            TIME[to] = TIME[town] + cost
            heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
```

### 011

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

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

### 012

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

### 013

```python
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)
```

### 014

```python
ALPH = 'abcdefghijklmnopqrstuvwxyz'
MAX = 10 ** 9

def cnt(s):
    c = {ch: 0 for ch in ALPH}
    i = 0
    while i < len(s):
        j = i + 1
        while j < len(s) and s[i] == s[j]:
            j += 1
        c[s[i]] = max(c[s[i]], j - i)
        i = j
    return c

def nxt(c, t):
    nc = cnt(t)
    for ch in ALPH:
        if c[ch] and (not nc[ch]):
            nc[ch] = 4
    f = 0
    while f < len(t) and t[f] == t[0]:
        f += 1
    r = 0
    while r < len(t) and t[-1 - r] == t[-1]:
        r += 1
    if t[0] == t[-1]:
        if f == len(t):
            nc[t[0]] = max(nc[t[0]], c[t[0]] + (c[t[0]] + 1) * len(t))
        elif c[t[0]]:
            nc[t[0]] = max(nc[t[0]], f + 1 + r)
    else:
        nc[t[0]] = max(nc[t[0]], f + (c[t[0]] > 0))
        nc[t[-1]] = max(nc[t[-1]], r + (c[t[-1]] > 0))
    return {x: min(MAX, y) for x, y in nc.items()}
n = int(input())
c = cnt(input())
for i in range(n - 1):
    c = nxt(c, input())
print(max(c.values()))
```

### 015

```python
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)
```

### 016

```python
s = input()
cs = ['']
ans = []
last = ['']
poped = False
for c in s[::-1]:
    if c == cs[-1] and c > last[-2]:
        cs.pop()
        if not cs or c != cs[-1]:
            last.pop()
        poped = True
    else:
        poped = False
        if c != cs[-1]:
            last.append(c)
        cs.append(c)
    if len(cs) <= 11:
        ans.append((len(cs) - 1, ''.join(cs[::-1])))
    else:
        ans.append((len(cs) - 1, (''.join(cs[:3]) + '...' + ''.join(cs[-5:]))[::-1]))
for a, b in ans[::-1]:
    print(a, b)
```

### 017

```python
def main():
    n = int(input())
    A = list(map(int, input().split()))
    B = list(map(int, input().split()))
    roundup = []
    rounddown = []
    sumsofar = []
    for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
        ssf = sumsofar[-1] if sumsofar else 0
        t = roundup[-1] if roundup else 0
        roundup.append(t + ssf + b * (1 + 2 * i))
        t = rounddown[-1] if rounddown else 0
        rounddown.append(t + ssf + a * (1 + 2 * i))
        sumsofar.append(ssf + a + b)
    roundup = list(reversed(roundup))
    rounddown = list(reversed(rounddown))
    sumsofar = list(reversed(sumsofar))
    bestres = 0
    sofar = 0
    for i, (a, b) in enumerate(zip(A, B)):
        rup, rdo = (roundup, rounddown)
        if i % 2:
            a, b = (b, a)
            rup, rdo = (rdo, rup)
        bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
        sofar += a * 2 * i
        sofar += b * (2 * i + 1)
        bestres = max(bestres, sofar)
    print(bestres)

def __starting_point():
    main()
__starting_point()
```

### 018

```python
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
    b, p, ft = input().split()
    b, p = (int(b), int(p))
    f = (p, b)
    if ft == 'C':
        if p <= tc:
            fc.append(f)
            mbc = max(mbc, b)
    elif p < td:
        fd.append(f)
        mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)

def pick2(fc, tc):
    bf = []
    maxb = 0
    ans = 0
    for f in fc:
        p, b = f
        maxpp = tc - p
        ii = bisect_left(bf, (maxpp + 1, 0)) - 1
        if ii >= 0:
            pp, bb = bf[ii]
            ans = max(ans, bb + b)
        if b > maxb:
            bf.append(f)
            maxb = b
    return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
```

### 019

```python
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
    b, p, ft = input().split()
    b, p = (int(b), int(p))
    f = (p, b)
    if ft == 'C':
        if p < tc:
            fc.append(f)
            mbc = max(mbc, b)
    elif p <= td:
        fd.append(f)
        mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)

def pick2(fc, tc):
    bf = []
    maxb = 0
    ans = 0
    for f in fc:
        p, b = f
        maxpp = tc - p
        ii = bisect_left(bf, (maxpp + 1, 0)) - 1
        if ii >= 0:
            pp, bb = bf[ii]
            ans = max(ans, bb + b)
        if b > maxb:
            bf.append(f)
            maxb = b
    return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
```

### 020

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

### 021

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

### 022

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

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

### 023

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

### 024

```python
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
    if t == 'G':
        heappush(Q, (2, 2 * l))
        heappush(Q, (5, float('inf')))
    elif t == 'W':
        heappush(Q, (1, 2 * l))
        heappush(Q, (3, float('inf')))
    need_stamina = l
    while need_stamina > 2:
        cost, quantity = heappop(Q)
        if need_stamina > quantity:
            ans += quantity * cost
            need_stamina -= quantity
        else:
            ans += need_stamina * cost
            heappush(Q, (cost, quantity - need_stamina))
            need_stamina = 0
print(ans)
```

### 025

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

### 026

```python
def main():
    n = int(input())
    A = list(map(int, input().split()))
    B = list(map(int, input().split()))
    roundup = []
    rounddown = []
    sumsofar = []
    for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
        ssf = sumsofar[-1] if sumsofar else 0
        t = roundup[-1] if roundup else 0
        roundup.append(t + ssf + b * (1 + 2 * i))
        t = rounddown[-1] if rounddown else 0
        rounddown.append(t + ssf + a * (1 + 2 * i))
        sumsofar.append(ssf + a + b)
    roundup = list(reversed(roundup))
    rounddown = list(reversed(rounddown))
    sumsofar = list(reversed(sumsofar))
    bestres = 0
    sofar = 0
    for i, (a, b) in enumerate(zip(A, B)):
        rup, rdo = (roundup, rounddown)
        if i % 2:
            a, b = (b, a)
            rup, rdo = (rdo, rup)
        bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
        sofar += a * -2 * i
        sofar += b * (2 * i + 1)
        bestres = max(bestres, sofar)
    print(bestres)

def __starting_point():
    main()
__starting_point()
```

### 027

```python
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
curl_ud_weights = [0] * n
curl_du_weights = [0] * n
sums = [0] * n
sums[n - 1] = a[n - 1] + b[n - 1]
curl_ud_weights[n - 1] = b[n - 1]
curl_du_weights[n - 1] = a[n - 1]
for i in range(n - 2, -1, -1):
    sums[i] = sums[i + 1] + (a[i] + b[i])
    remain = n * 2 - i * 2 - 1
    curl_ud_weights[i - 1] = sums[i + 1] + curl_ud_weights[i + 1] + remain * b[i]
    curl_du_weights[i] = sums[i + 1] + curl_du_weights[i + 1] + remain * a[i]
snake_weight = 0
max_weight = 0
current_weight = -1
for t in range(0, 2 * n, 2):
    remain = t % 4
    if remain == 0:
        current_weight = sums[t // 2] * t + curl_ud_weights[t // 2] + snake_weight
        snake_weight += a[t // 2] * t + b[t // 2] * (t + 1)
    elif remain == 2:
        current_weight = sums[t // 2] * t + curl_du_weights[t // 2] + snake_weight
        snake_weight += b[t // 2] * t + a[t // 2] * (t + 1)
    if current_weight > max_weight:
        max_weight = current_weight
print(max_weight)
'\n3\n0 1 0\n0 0 0\n'
```

### 028

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

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

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

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

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

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

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

def __starting_point():
    main()
__starting_point()
```

### 029

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

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

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

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

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

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

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

def __starting_point():
    main()
__starting_point()
```

### 030

```python
def main(s):
    if len(s) == 0:
        return []
    if len(s) == 1:
        return [[s], [1]]
    s = s[::-1]
    sres = [s[0]]
    nres = [1]
    if s[0] == s[1]:
        sres.append('')
        nres.append(2)
    else:
        sres.append(s[1] + s[0])
        nres.append(2)
    for i in range(2, len(s)):
        st = s[i] + sres[-1]
        nt = nres[-1] + 1
        if nt > 10:
            st = st[:5] + '...' + st[-2:]
        if s[i] == s[i - 1] and st > sres[-1]:
            st = sres[-2]
            nt = nres[-2]
        sres.append(st)
        nres.append(nt)
    return [sres, nres]
s = input()
sres, nres = main(s)
for i in range(len(s) - 1, -1, -1):
    print(nres[i], sres[i])
```

### 031

```python
n = int(input())
l = list(map(lambda x: int(x) * 2, input().split(' ')))
t = list(map(lambda x: 'GWL'.index(x), input()))
mins = [0 for i in range(0, n + 1)]
for i in range(n - 1, -1, -1):
    if t[i] != 2:
        mins[i] = max(mins[i + 1] - l[i], 0)
    else:
        mins[i] = mins[i + 1] + l[i]
curs = ans = st = 0
for i in range(0, n):
    if t[i] == 0:
        curs += l[i]
        ans += l[i] * 5
        if curs > mins[i + 1]:
            ol = (curs - mins[i + 1]) // 2
            ol = min(ol, l[i])
            ans -= 4 * ol
            curs -= 2 * ol
    if t[i] == 1:
        st = 1
        curs += l[i]
        ans += l[i] * 3
    if t[i] == 2:
        if curs < l[i]:
            ol = l[i] - curs
            curs = l[i]
            ans += ol * (3 if st else 5)
        curs -= l[i]
        ans += l[i]
if curs > 3:
    ans -= curs // 2 * 2
print(ans // 2)
```

### 032

```python
def main(s):
    if len(s) == 0:
        return []
    if len(s) == 1:
        return [[s], [1]]
    s = s[::-1]
    sres = [s[0]]
    nres = [1]
    if s[0] == s[1]:
        sres.append('')
        nres.append(0)
    else:
        sres.append(s[1] + s[0])
        nres.append(2)
    for i in range(2, len(s)):
        st = s[i] + sres[-1]
        nt = nres[-1] + 1
        if nt > 10:
            st = st[:5] + '...' + st[-2:]
        if s[i] == s[i - 1] and st > sres[-1]:
            st = sres[-2]
            nt = nres[-2]
        sres.append(st)
        nres.append(nt)
    return [sres, nres]
s = input()
sres, nres = main(s)
for i in range(len(s) - 1, -1, -1):
    print(nres[i], sres[i])
```

### 033

```python
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10

def dijkstra(N, G, s):
    dist = [INF] * N
    que = [(0, s)]
    dist[s] = 0
    while que:
        c, v = heappop(que)
        if dist[v] < c:
            continue
        for t, cost in G[v]:
            if dist[v] + cost < dist[t]:
                dist[t] = dist[v] + cost
                heappush(que, (dist[t], t))
    return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
    x, y = list(map(int, input().split()))
    g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
    g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
    vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(x - bx, abs(y - by))
    g[i].add((b, c))
    g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(abs(x - bx), y - by)
    g[i].add((b, c))
    g[b].add((i, c))
print(min(dijkstra(M + 2, g, -2), abs(fy - sy) + abs(fx - sx)))
```

### 034

```python
import math
n, m, k, q = list(map(int, input().split()))
right = [-1] * n
left = [-1] * n
for i in range(k):
    row, col = list(map(int, input().split()))
    row -= 1
    col -= 1
    if right[row] == -1:
        right[row] = left[row] = col
    else:
        right[row] = max(right[row], col)
        left[row] = min(left[row], col)
safe = sorted(list([int(qi) - 1 for qi in input().split()]))
lup = [0] * m
rup = [0] * m
j = 0
while j < safe[0]:
    lup[j] = -1
    rup[j] = safe[0]
    j += 1
lup[j] = rup[j] = safe[0]
for i in range(1, q):
    j = safe[i - 1]
    while j < safe[i]:
        lup[j] = safe[i - 1]
        rup[j] = safe[i]
        j += 1
j = safe[-1]
while j < m:
    lup[j] = safe[-1]
    rup[j] = -1
    j += 1
if left[0] == -1:
    left[0] = right[0] = 0
dleft = right[0] + (right[0] - left[0])
dright = right[0]
lastn = 0
for i in range(1, n):
    if left[i] == -1:
        continue
    left_1b = lup[left[lastn]]
    left_2b = rup[left[lastn]]
    right_1b = lup[right[lastn]]
    right_2b = rup[right[lastn]]
    ilen = right[i] - left[i]
    ll1: int
    ll2: int
    rl1: int
    rl2: int
    if left_1b != -1:
        ll1 = left[lastn] - left_1b + abs(right[i] - left_1b)
    else:
        ll1 = math.inf
    if not left_2b != -1:
        ll2 = left_2b - left[lastn] + abs(right[i] - left_2b)
    else:
        ll2 = math.inf
    if right_1b != -1:
        rl1 = right[lastn] - right_1b + abs(right[i] - right_1b)
    else:
        rl1 = math.inf
    if right_2b != -1:
        rl2 = right_2b - right[lastn] + abs(right[i] - right_2b)
    else:
        rl2 = math.inf
    dleft_new = min(dleft + min(ll1, ll2), dright + min(rl1, rl2)) + ilen
    lr1: int
    lr2: int
    rr1: int
    rr2: int
    if left_1b != -1:
        lr1 = left[lastn] - left_1b + abs(left[i] - left_1b)
    else:
        lr1 = math.inf
    if left_2b != -1:
        lr2 = left_2b - left[lastn] + abs(left[i] - left_2b)
    else:
        lr2 = math.inf
    if right_1b != -1:
        rr1 = right[lastn] - right_1b + abs(left[i] - right_1b)
    else:
        rr1 = math.inf
    if right_2b != -1:
        rr2 = right_2b - right[lastn] + abs(left[i] - right_2b)
    else:
        rr2 = math.inf
    dright_new = min(dleft + min(lr1, lr2), dright + min(rr1, rr2)) + ilen
    dleft, dright = (dleft_new, dright_new)
    lastn = i
print(min(dleft, dright) + lastn)
```

### 035

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

### 036

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

### 037

```python
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)
```

### 038

```python
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
    if t == 'G':
        heappush(Q, (2, 2 * l))
        heappush(Q, (2, float('inf')))
    elif t == 'W':
        heappush(Q, (1, 2 * l))
        heappush(Q, (3, float('inf')))
    need_stamina = l
    while need_stamina > 0:
        cost, quantity = heappop(Q)
        if need_stamina > quantity:
            ans += quantity * cost
            need_stamina -= quantity
        else:
            ans += need_stamina * cost
            heappush(Q, (cost, quantity - need_stamina))
            need_stamina = 0
print(ans)
```

### 039

```python
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
    b, p, ft = input().split()
    b, p = (int(b), int(p))
    f = (p, b)
    if ft == 'C':
        if p <= tc:
            fc.append(f)
            mbc = max(mbc, b)
    elif p <= td:
        fd.append(f)
        mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)

def pick2(fc, tc):
    bf = []
    maxb = 0
    ans = 0
    for f in fc:
        p, b = f
        maxpp = tc - p
        ii = bisect_left(bf, (maxpp + 1, 0)) - 1
        if ii >= 0:
            pp, bb = bf[ii]
            ans = max(ans, bb + b)
        if b > maxb:
            bf.append(f)
            maxb = b
    return ans
ans = mbc + mbd if mbc >= 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
```

### 040

```python
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)
```

### 041

```python
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path

def console(*args):
    pass
if path.exists('input.txt'):
    sys.stdin = open('input.txt', 'r')
    sys.stdout = open('output.txt', 'w')

    def console(*args):
        pass
inp = sys.stdin.readlines()

def solve(*args):
    console('----- solving ------')
    console(*args)
    console('----- ------- ------')
    return solve_(*args)

def solve_(grid, sx, sy, ex, ey):
    console('----- solving ------')
    minres = abs(sx - ex) + abs(sy - ey)
    console(minres)
    if grid == []:
        return minres
    d = defaultdict(list)
    grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
    grid = sorted(grid, key=lambda x: x[1])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[-1:]):
        d[i1].append((i2, x2 - x1))
        d[i2].append((i1, x2 - x1))
    grid = sorted(grid, key=lambda x: x[2])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
        d[i1].append((i2, y2 - y1))
        d[i2].append((i1, y2 - y1))
    for i, x, y in grid:
        d[-2].append((i, abs(x - sx)))
        d[-2].append((i, abs(y - sy)))
        d[i].append((-1, abs(x - ex) + abs(y - ey)))
    d[-1] = []
    console(list(d.keys()))
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    return min(minres, dijkstra_with_preprocessing(d, -2, -1))

def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
    d = map_from_node_to_nodes_and_costs
    if target not in d:
        d[-1] = []
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    _, costs = dijkstra(G, idxs[source])
    return costs[idxs[target]]

def dijkstra(G, s):
    n = len(G)
    visited = [False] * n
    weights = [math.inf] * n
    path = [None] * n
    queue = []
    weights[s] = 0
    hq.heappush(queue, (0, s))
    while len(queue) > 0:
        g, u = hq.heappop(queue)
        visited[u] = True
        for v, w in G[u]:
            if not visited[v]:
                f = g + w
                if f < weights[v]:
                    weights[v] = f
                    path[v] = u
                    hq.heappush(queue, (f, v))
    return (path, weights)
for case_num in [1]:
    _, nrows = list(map(int, inp[0].split()))
    sx, sy, ex, ey = list(map(int, inp[1].split()))
    grid = []
    for z in range(nrows):
        grid.append(list(map(int, inp[z + 2].split())))
    res = solve(grid, sx, sy, ex, ey)
    print(res)
```

### 042

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

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

### 043

```python
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
    if s[i] == 'G':
        dist = l[i]
        if water >= dist:
            water -= dist
            time += 5 * dist
            cgrass += dist
        else:
            dist -= water
            time += 2 * water
            cgrass += water
            water = 0
            time += 3 * dist
            grass += dist
    elif s[i] == 'W':
        water += l[i]
        time += 2 * l[i]
        seen = True
    else:
        dist = l[i]
        if water >= dist:
            water -= dist
            time += 2 * dist
        else:
            dist -= water
            time += 2 * water
            water = 0
            if cgrass >= dist:
                cgrass -= dist
                grass += dist
                time += 3 * dist
            else:
                dist -= cgrass
                grass += cgrass
                time += 3 * cgrass
                cgrass = 0
                if grass >= dist:
                    grass -= dist
                    time += 3 * dist
                else:
                    dist -= grass
                    time += 3 * grass
                    grass = 0
                    if seen:
                        time += 4 * dist
                    else:
                        time += 6 * dist
print(time)
```

### 044

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

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

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

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

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

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

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

def __starting_point():
    main()
__starting_point()
```

### 045

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

### 046

```python
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)
```

### 047

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

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

### 048

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

### 049

```python
from sys import stdin
from math import *
line = stdin.readline().rstrip().split()
n = int(line[0])
numbers = list(map(int, stdin.readline().rstrip().split()))
numbers2 = list(map(int, stdin.readline().rstrip().split()))
growRateAccum = 0
topAccum = 0
bottomAccum = 0
accumsB = [0] * n
accumsT = [0] * n
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
    accum += numbers[i] * ((n - i) * 2 - 1 - 1)
    growRateAccum *= numbers[i]
    if i < n - 1:
        growRateAccum += numbers2[i + 1]
    accum += growRateAccum
    accumsB[i] = accum
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
    accum += numbers2[i] * ((n - i) * 2 - 1 - 1)
    growRateAccum += numbers2[i]
    if i < n - 1:
        growRateAccum += numbers[i + 1]
    accum += growRateAccum
    accumsT[i] = accum
cMax = 0
currAccum = 0
growRateAccum = sum(numbers[1:]) + sum(numbers2[1:])
for i in range(n):
    if i % 2 == 0:
        cMax = max(cMax, currAccum + accumsT[i])
    else:
        cMax = max(cMax, currAccum + accumsB[i])
    if i < n - 1:
        if i % 2 == 0:
            currAccum += numbers2[i] + growRateAccum * 2
        else:
            currAccum += numbers[i] + growRateAccum * 2
        growRateAccum -= numbers[i + 1]
        growRateAccum -= numbers2[i + 1]
print(cMax)
```

### 050

```python
import sys
z = sys.stdin.readline
s = z().strip()
l = len(s)
b = [' ']
o = []
m = [' ']
for i in range(l):
    c = s[-1 - i]
    if c == b[-1]:
        if c > m[-1].lower() or (c == m[-1].lower() and c > m[-2].lower()):
            b.pop()
            if b[-1].lower() != m[-1].lower():
                m.pop()
            b[-1] = b[-1].upper()
            m[-1] = m[-1].upper()
        else:
            b += [c]
    else:
        b += [c]
        if b[-1] != m[-1].lower():
            m += [b[--1]]
    if len(b) > 11:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[:-6:-1]) + '...' + b[2] + b[1]).lower()]
    elif len(b) > 1:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[-1::-1])).lower()]
    else:
        o.append('0')
print('\n'.join(o[::-1]))
```

### 051

```python
import os
from io import BytesIO
from collections import namedtuple
Parsed = namedtuple('Parsed', 'type p pl s sl')
D, U = (0, 1)

def parse(s):
    pc, sc = (0, 0)
    for c in s:
        if c != s[0]:
            break
        pc += 1
    for c in reversed(s):
        if c != s[-1]:
            break
        sc += 1
    if s[0] == s[-1] and pc == sc == len(s):
        tp = U
    else:
        tp = D
    return Parsed(tp, s[0], pc, s[-1], sc)

def max_conti_len(s, target):
    mx = 0
    cur = 0
    for c in s:
        if c == target:
            cur += 1
            mx = max(mx, cur)
        else:
            cur = 0
    return mx

def len_mul(nl, ol):
    return ol * nl + ol + nl

def solve(n, ss):
    s = ss.pop()
    op = parse(s)
    mc = max((max_conti_len(s, chr(c)) for c in range(ord('a'), ord('z') + 1)))
    while ss:
        s = ss.pop()
        np = parse(s)
        if np.type == U and op.type == U:
            if not np.p == op.p:
                nl = len_mul(np.pl, op.pl)
                op = Parsed(U, op.p, nl, op.s, nl)
            else:
                op = Parsed(D, op.p, op.pl, op.s, op.sl)
            mc = max(mc, op.pl)
        elif np.type == D and op.type == U:
            npl = len_mul(np.pl, op.pl) if np.p == op.p else op.pl
            nsl = len_mul(np.sl, op.sl) if np.s == op.s else op.sl
            mx = max_conti_len(s, op.s)
            mc = max(mc, len_mul(mx, op.pl))
            op = Parsed(D, op.p, npl, op.s, nsl)
        elif op.type == D:
            if op.p == op.s:
                mp = op.pl + op.sl + 1 if op.p in s else op.pl
                ms = op.sl
            else:
                mp = op.pl + 1 if op.p in s else op.pl
                ms = op.sl + 1 if op.s in s else op.sl
            mc = max(mc, mp, ms)
    print(mc)

def solve_from_stdin():
    n = int(input())
    ss = []
    for _ in range(n):
        ss.append(input())
    solve(n, ss)
solve_from_stdin()
```

### 052

```python
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
    if s[i] == 'G':
        dist = l[i]
        if water >= dist:
            water -= dist
            time += 1 * dist
            cgrass += dist
        else:
            dist -= water
            time += 2 * water
            cgrass += water
            water = 0
            time += 3 * dist
            grass += dist
    elif s[i] == 'W':
        water += l[i]
        time += 2 * l[i]
        seen = True
    else:
        dist = l[i]
        if water >= dist:
            water -= dist
            time += 2 * dist
        else:
            dist -= water
            time += 2 * water
            water = 0
            if cgrass >= dist:
                cgrass -= dist
                grass += dist
                time += 3 * dist
            else:
                dist -= cgrass
                grass += cgrass
                time += 3 * cgrass
                cgrass = 0
                if grass >= dist:
                    grass -= dist
                    time += 3 * dist
                else:
                    dist -= grass
                    time += 3 * grass
                    grass = 0
                    if seen:
                        time += 4 * dist
                    else:
                        time += 6 * dist
print(time)
```

### 053

```python
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
    sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
    for i in range(2):
        sum_up[i][n - 1] = a[i][n - 1]
        pref_up[i][n - 1 - 1] = a[i][n - 1]
        pref_down[i][n - 1] = a[i][n - 1]
        for j in range(n - 2, -1, -1):
            sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
            pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
            pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
    zig = [[0 for i in range(n)] for j in range(2)]
    for j in range(n):
        for i in range(2):
            if j % 2 == 0:
                if i == 0:
                    zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
                else:
                    zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
            elif i == 0:
                zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
            else:
                zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
    ans = -1e+18
    for j in range(n):
        if j == 0:
            ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
        elif j == n - 1:
            ans = max(ans, zig[1 - j % 2][n - 1])
        elif j % 2 == 1:
            ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
        else:
            ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
    ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
    print(ans)
else:
    print(a[1][0])
```

### 054

```python
import sys
input = sys.stdin.readline
import heapq

def dijkstra(n, s, edges):
    hq = [(0, s)]
    cost = [float('inf')] * n
    cost[s] = 0
    while hq:
        c, v = heapq.heappop(hq)
        if c > cost[v]:
            continue
        for d, u in edges[v]:
            tmp = d + cost[v]
            if tmp < cost[u]:
                cost[u] = tmp
                heapq.heappush(hq, (tmp, u))
    return cost[1]

def main():
    n, m = map(int, input().split())
    sx, sy, fx, fy = map(int, input().split())
    xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
    edges = [[] for _ in range(m + 2)]
    xy.sort(key=lambda x: x[0])
    for i in range(m - 1):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    xy.sort(key=lambda x: x[1])
    for i in range(m - 1):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    for x, y, i in xy:
        d1 = min(abs(x - sx), abs(y - sy))
        d2 = abs(x - sx) + abs(y - sy)
        edges[0].append((d1, i))
        edges[i].append((d2, 0))
        d1 = min(abs(x - fx), abs(y - fy))
        d2 = abs(x - fx) * abs(y - fy)
        edges[1].append((d1, i))
        edges[i].append((d2, 1))
    d = abs(sx - fx) + abs(sy - fy)
    edges[0].append((d, 1))
    edges[1].append((d, 0))
    ans = dijkstra(m + 2, 0, edges)
    print(ans)
main()
```

### 055

```python
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)
```

### 056

```python
from bisect import bisect_left
n, m, k, q = list(map(int, input().split()))
x = sorted((list(map(int, input().split())) for _ in range(k)))
y = sorted(map(int, input().split()))

def rr(c0, c1, c):
    return abs(c0 - c) + abs(c1 - c)

def tm(c0, c1):
    t = bisect_left(y, c0)
    tt = []
    if t > 0:
        tt.append(rr(c0, c1, y[t - 1]))
    if t < q:
        tt.append(rr(c0, c1, y[t]))
    return min(tt)
z = []
for r, c in x:
    if z and z[-1][0] == r:
        z[-1][2] = c
    else:
        z.append([r, c, c])
v1, v2, r0, c01, c02 = (0, 0, 1, 1, 1)
for r1, c11, c12 in z:
    d = c12 - c11 + r1 - r0
    if r1 >= r0:
        d11 = tm(c01, c11)
        d12 = tm(c01, c12)
        d21 = tm(c02, c11)
        d22 = tm(c02, c12)
        v2, v1 = (d + min(v1 + d11, v2 + d21), d + min(v1 + d12, v2 + d22))
    else:
        v1, v2 = (d + c12 - c02, d + c11 - c01)
    r0, c01, c02 = (r1, c11, c12)
print(min(v1, v2))
```

### 057

```python
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
    if s[i] == 'G':
        dist = l[i]
        if water >= dist:
            water -= dist
            time += 2 * dist
            cgrass += dist
        else:
            dist -= water
            time += 2 * water
            cgrass += water
            water = 0
            time += 3 * dist
            grass += dist
    elif s[i] == 'W':
        water += l[i]
        time += 2 * l[i]
        seen = True
    else:
        dist = l[i]
        if water >= dist:
            water -= dist
            time += 2 * dist
        else:
            dist -= water
            time += 2 * water
            water = 4
            if cgrass >= dist:
                cgrass -= dist
                grass += dist
                time += 3 * dist
            else:
                dist -= cgrass
                grass += cgrass
                time += 3 * cgrass
                cgrass = 0
                if grass >= dist:
                    grass -= dist
                    time += 3 * dist
                else:
                    dist -= grass
                    time += 3 * grass
                    grass = 0
                    if seen:
                        time += 4 * dist
                    else:
                        time += 6 * dist
print(time)
```

### 058

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

### 059

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

### 060

```python
import sys
input = sys.stdin.readline
import heapq

def dijkstra(n, s, edges):
    hq = [(0, s)]
    cost = [float('inf')] * n
    cost[s] = 0
    while hq:
        c, v = heapq.heappop(hq)
        if c > cost[v]:
            continue
        for d, u in edges[v]:
            tmp = d + cost[v]
            if tmp < cost[u]:
                cost[u] = tmp
                heapq.heappush(hq, (tmp, u))
    return cost[1]

def main():
    n, m = map(int, input().split())
    sx, sy, fx, fy = map(int, input().split())
    xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
    edges = [[] for _ in range(m + 2)]
    xy.sort(key=lambda x: x[0])
    for i in range(m - 1):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    xy.sort(key=lambda x: x[1])
    for i in range(m - 1):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    for x, y, i in xy:
        d1 = min(abs(x - sx), abs(y - sy))
        d2 = abs(x - sx) + abs(y - sy)
        edges[0].append((d1, i))
        edges[i].append((d2, 0))
        d1 = min(abs(x - fx), abs(y - fy))
        d2 = abs(x - fx) + abs(y - fy)
        edges[1].append((d1, i))
        edges[i].append((d2, 1))
    d = abs(sx - fx) + abs(sy - fy)
    edges[0].append((d, 0))
    edges[1].append((d, 0))
    ans = dijkstra(m + 2, 0, edges)
    print(ans)
main()
```

### 061

```python
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
    b, p, ft = input().split()
    b, p = (int(b), int(p))
    f = (p, b)
    if ft == 'C':
        if p <= tc:
            fc.append(f)
            mbc = max(mbc, b)
    elif p <= td:
        fd.append(f)
        mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)

def pick2(fc, tc):
    bf = []
    maxb = 2
    ans = 0
    for f in fc:
        p, b = f
        maxpp = tc - p
        ii = bisect_left(bf, (maxpp + 1, 0)) - 1
        if ii >= 0:
            pp, bb = bf[ii]
            ans = max(ans, bb + b)
        if b > maxb:
            bf.append(f)
            maxb = b
    return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
```

### 062

```python
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))
```

### 063

```python
n = input()
n = int(n)
p = []
substring_maxlen = 0
str_info = []
_temper = ['abba', 'a']
for i in range(n):
    string = input()
    str_info.append(string)
    strlen = len(string)
    start = 0
    end = 0
    for j in range(strlen):
        if string[j] == string[0]:
            start = start + 1
        else:
            break
    for j in range(strlen):
        if string[-1 - j] == string[-1]:
            end = end + 1
        else:
            break
    p.append((string[0], start, string[-1], end, True if strlen == start else False))
_max_len = 0
parse = 0
_temp_max = 0
string = str_info[-1]
token = string[0]
while parse < len(string):
    token = string[parse]
    _temp_max = 0
    for k in range(parse, len(string)):
        if string[k] == token:
            parse = parse + 1
            _temp_max = _temp_max + 1
        else:
            break
    if substring_maxlen < _temp_max:
        substring_maxlen = _temp_max
start_token = []
end_token = []
start_token, start_num, end_token, end_num, connected = p[-1]
level = 0
for i in range(1, len(p)):
    if not not connected:
        break
    else:
        _string = str_info[-i - 1]
        _max_len = 0
        parse = 0
        _temp_max = 0
        token = _string[0]
        _substring_maxlen = 0
        while parse < len(_string):
            token = _string[parse]
            if token != start_token:
                parse = parse + 1
                continue
            _temp_max = 0
            for k in range(parse, len(_string)):
                if _string[k] == token:
                    parse = parse + 1
                    _temp_max = _temp_max + 1
                else:
                    break
            if _substring_maxlen < _temp_max:
                _substring_maxlen = _temp_max
        substring_maxlen = max(substring_maxlen, start_num * (_substring_maxlen + 1) + _substring_maxlen)
        _start_token, _start_num, _end_token, _end_num, _connected = p[-1 - i]
        if _start_token == start_token:
            start_num = start_num * (_start_num + 1) + _start_num
        if _end_token == end_token:
            end_num = end_num * (_end_num + 1) + _end_num
        if not _connected or _start_token != start_token:
            connected = False
        level = i
end_cond = 0
if start_num > end_num:
    end_cond = 1
elif start_num < end_num:
    end_cond = 2
the_End = False
answer = max(start_num, end_num) + 1
for i in range(len(p) - level - 1):
    for s in str_info[i]:
        if start_token == s:
            if end_cond < 2:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
        if end_token == s:
            if end_cond % 2 == 0:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
    if the_End:
        break
else:
    answer = answer - 1
if len(p) == 1:
    answer = answer - 1
print(max(answer, substring_maxlen))
```

### 064

```python
from bisect import bisect_left
n, m, k, q = list(map(int, input().split()))
x = sorted((list(map(int, input().split())) for _ in range(k)))
y = sorted(map(int, input().split()))

def rr(c0, c1, c):
    return abs(c0 - c) + abs(c1 - c)

def tm(c0, c1):
    t = bisect_left(y, c0)
    tt = []
    if t > 0:
        tt.append(rr(c0, c1, y[t - 1 - 1]))
    if t < q:
        tt.append(rr(c0, c1, y[t]))
    return min(tt)
z = []
for r, c in x:
    if z and z[-1][0] == r:
        z[-1][2] = c
    else:
        z.append([r, c, c])
v1, v2, r0, c01, c02 = (0, 0, 1, 1, 1)
for r1, c11, c12 in z:
    d = c12 - c11 + r1 - r0
    if r1 > r0:
        d11 = tm(c01, c11)
        d12 = tm(c01, c12)
        d21 = tm(c02, c11)
        d22 = tm(c02, c12)
        v2, v1 = (d + min(v1 + d11, v2 + d21), d + min(v1 + d12, v2 + d22))
    else:
        v1, v2 = (d + c12 - c02, d + c11 - c01)
    r0, c01, c02 = (r1, c11, c12)
print(min(v1, v2))
```

### 065

```python
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))
```

### 066

```python
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
    b, c, q = input().split()
    b = int(b)
    c = int(c)
    if q == 'C':
        f.append((b, c, 1))
        if coin[c][0][0] < b:
            coin[c][1] = coin[c][0]
            coin[c][0] = (b, i)
        elif coin[c][1][0] < b:
            coin[c][1] = (b, i)
    else:
        f.append((b, c, 2))
        if diam[c][0][0] < b:
            diam[c][1] = diam[c][0]
            diam[c][0] = (b, i)
        elif diam[c][1][0] < b:
            diam[c][1] = (b, i)
for i in range(2, 100001):
    if coin[i][0][0] < coin[i - 1][0][0]:
        coin[i][1] = max(coin[i][0], coin[i - 1][1])
        coin[i][0] = coin[i - 1][0]
    else:
        coin[i][1] = max(coin[i - 1][1], coin[i][1])
    if diam[i][0][0] < diam[i - 1][0][0]:
        diam[i][1] = max(diam[i][0], diam[i - 1][1])
        diam[i][0] = diam[i - 1][0]
    else:
        diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
    fnt = f[i]
    if fnt[2] == 1:
        if t >= fnt[1]:
            s = t - fnt[1]
            if coin[s][0][0] > 0 and coin[s][0][1] != i:
                ans = max(fnt[0] + coin[s][0][0], ans)
                p = True
            elif coin[s][1][0] > 0:
                ans = max(fnt[0] + coin[s][1][0], ans)
                p = True
            if diam[d][0][0] > 0:
                ans = max(fnt[0] + diam[d][0][0], ans)
                p = True
    elif d >= fnt[1]:
        s = d - fnt[1]
        if diam[s][0][0] > 0 and diam[s][0][1] != i:
            ans = max(fnt[0] + diam[s][0][0], ans)
            p = True
        elif diam[s][1][0] > 0:
            ans = max(fnt[0] + diam[s][1][0], ans)
            p = True
        if coin[t][0][0] > 0:
            ans = max(fnt[0] + coin[t][0][0], ans)
            p = True
if p:
    print(ans)
else:
    print(-4)
```

### 067

```python
n = input()
n = int(n)
p = []
substring_maxlen = 0
str_info = []
_temper = ['abba', 'a']
for i in range(n):
    string = input()
    str_info.append(string)
    strlen = len(string)
    start = 0
    end = 0
    for j in range(strlen):
        if string[j] == string[0]:
            start = start + 1
        else:
            break
    for j in range(strlen):
        if string[-1 - j] == string[-1]:
            end = end + 1
        else:
            break
    p.append((string[0], start, string[-1], end, True if strlen == start else False))
_max_len = 0
parse = 0
_temp_max = 0
string = str_info[-1]
token = string[0]
while parse < len(string):
    token = string[parse]
    _temp_max = 0
    for k in range(parse, len(string)):
        if string[k] == token:
            parse = parse + 1
            _temp_max = _temp_max + 1
        else:
            break
    if substring_maxlen < _temp_max:
        substring_maxlen = _temp_max
start_token = []
end_token = []
start_token, start_num, end_token, end_num, connected = p[-1]
level = 0
for i in range(1, len(p)):
    if not connected:
        break
    else:
        _string = str_info[-i - 1]
        _max_len = 0
        parse = 0
        _temp_max = 0
        token = _string[0]
        _substring_maxlen = 0
        while parse < len(_string):
            token = _string[parse]
            if token != start_token:
                parse = parse + 1
                continue
            _temp_max = 0
            for k in range(parse, len(_string)):
                if _string[k] == token:
                    parse = parse + 1
                    _temp_max = _temp_max + 1
                else:
                    break
            if _substring_maxlen < _temp_max:
                _substring_maxlen = _temp_max
        substring_maxlen = max(substring_maxlen, start_num * (_substring_maxlen + 1) + _substring_maxlen)
        _start_token, _start_num, _end_token, _end_num, _connected = p[-1 - i]
        if _start_token == start_token:
            start_num = start_num * (_start_num + 1) + _start_num
        if _end_token == end_token:
            end_num = end_num * (_end_num + 1) + _end_num
        if not _connected or _start_token != start_token:
            connected = False
        level = i
end_cond = 0
if start_num > end_num:
    end_cond = 1
elif start_num < end_num:
    end_cond = 2
the_End = False
answer = max(start_num, end_num) + 1
for i in range(len(p) - level - 1):
    for s in str_info[i]:
        if start_token == s:
            if end_cond < 2:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
        if end_token == s:
            if end_cond % 2 == 0:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
    if the_End:
        break
else:
    answer = answer - 1
if len(p) == 1:
    answer = answer - 1
print(max(answer, substring_maxlen))
```

### 068

```python
ALPH = 'abcdefghijklmnopqrstuvwxyz'
MAX = 10 ** 9

def cnt(s):
    c = {ch: 1 for ch in ALPH}
    i = 0
    while i < len(s):
        j = i + 1
        while j < len(s) and s[i] == s[j]:
            j += 1
        c[s[i]] = max(c[s[i]], j - i)
        i = j
    return c

def nxt(c, t):
    nc = cnt(t)
    for ch in ALPH:
        if c[ch] and (not nc[ch]):
            nc[ch] = 1
    f = 0
    while f < len(t) and t[f] == t[0]:
        f += 1
    r = 0
    while r < len(t) and t[-1 - r] == t[-1]:
        r += 1
    if t[0] == t[-1]:
        if f == len(t):
            nc[t[0]] = max(nc[t[0]], c[t[0]] + (c[t[0]] + 1) * len(t))
        elif c[t[0]]:
            nc[t[0]] = max(nc[t[0]], f + 1 + r)
    else:
        nc[t[0]] = max(nc[t[0]], f + (c[t[0]] > 0))
        nc[t[-1]] = max(nc[t[-1]], r + (c[t[-1]] > 0))
    return {x: min(MAX, y) for x, y in nc.items()}
n = int(input())
c = cnt(input())
for i in range(n - 1):
    c = nxt(c, input())
print(max(c.values()))
```

### 069

```python
bn = 0
ar = []

def binSearchMax(number):
    last = bn
    first = 0
    mid = (last + first) // 2
    while last > first:
        if ar[mid] < number:
            first = mid + 1
        elif ar[mid] > number:
            last = mid - 1
        else:
            return mid
        mid = (last + first) // 2
    if ar[last] == number:
        return last
    return first
n, m, k, q = list(map(int, input().split()))
mmn = [[m, -1] for i in range(n)]
maxn = 0
for i in range(k):
    r, c = list(map(int, input().split()))
    r -= 1
    mmn[r][0] = min(mmn[r][0], c)
    mmn[r][1] = max(mmn[r][1], c)
    maxn = max(maxn, r)
if mmn[0][1] == -1:
    mmn[0][1] = 1
mmn[0][0] = 1
bi = list(map(int, input().split()))
bi += [-1000000000, 10000000000, -1000000000, 10000000000, 10000000000]
bi.sort()
ar = bi
bn = q + 3
dp = [[0, 0] for i in range(n)]
dp[0][1] = mmn[0][1] - mmn[0][0]
dp[0][0] = dp[0][1] * 2
z = 0
for i in range(1, n):
    if mmn[i][1] == -1:
        dp[i][0] = dp[i - 1][0]
        dp[i][1] = dp[i - 1][1]
        continue
    p1 = binSearchMax(mmn[z][0])
    p2 = bi[p1 - 1]
    p1 = bi[p1]
    p3 = binSearchMax(mmn[z][1])
    p4 = bi[p3 - 1]
    p3 = bi[p3]
    num1 = abs(p1 - mmn[i][1]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][1]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][1]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][1]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][0] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    num1 = abs(p1 - mmn[i][0]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][0]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][0]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][0]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][1] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    z = i
print(min(dp[-1]) + maxn)
```

### 070

```python
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
    b, c, q = input().split()
    b = int(b)
    c = int(c)
    if q == 'C':
        f.append((b, c, 1))
        if coin[c][0][0] < b:
            coin[c][1] = coin[c][0]
            coin[c][0] = (b, i)
        elif coin[c][1][0] < b:
            coin[c][1] = (b, i)
    else:
        f.append((b, c, 2))
        if diam[c][0][0] < b:
            diam[c][1] = diam[c][0]
            diam[c][0] = (b, i)
        elif diam[c][1][0] < b:
            diam[c][1] = (b, i)
for i in range(2, 100001):
    if coin[i][0][0] < coin[i - 1][0][0]:
        coin[i][1] = max(coin[i][0], coin[i - 1][1])
        coin[i][0] = coin[i - 1][0]
    else:
        coin[i][1] = max(coin[i - 1][1], coin[i][1])
    if diam[i][0][0] < diam[i - 1][0][0]:
        diam[i][1] = max(diam[i][0], diam[i - 1][1])
        diam[i][0] = diam[i - 1][0]
    else:
        diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
    fnt = f[i]
    if fnt[2] == 1:
        if t >= fnt[1]:
            s = t - fnt[1]
            if coin[s][0][0] > 0 and coin[s][0][1] != i:
                ans = max(fnt[0] + coin[s][0][0], ans)
                p = True
            elif coin[s][1][0] > 0:
                ans = max(fnt[0] + coin[s][1][0], ans)
                p = True
            if diam[d][0][0] > 0:
                ans = max(fnt[0] + diam[d][0][0], ans)
                p = True
    elif d >= fnt[1]:
        s = d - fnt[1]
        if diam[s][0][0] > 0 and diam[s][0][1] != i:
            ans = max(fnt[0] + diam[s][0][0], ans)
            p = True
        elif diam[s][1][0] > 0:
            ans = max(fnt[0] + diam[s][1][0], ans)
            p = True
        if coin[t][0][0] > 0:
            ans = max(fnt[0] + coin[t][0][0], ans)
            p = True
if p:
    print(ans)
else:
    print(4)
```

### 071

```python
n = int(input())
l = list(map(lambda x: int(x) * 2, input().split(' ')))
t = list(map(lambda x: 'GWL'.index(x), input()))
mins = [0 for i in range(0, n + 1)]
for i in range(n - 1, -1, -1):
    if t[i] != 2:
        mins[i] = max(mins[i + 1] - l[i], 0)
    else:
        mins[i] = mins[i + 1] * l[i]
curs = ans = st = 0
for i in range(0, n):
    if t[i] == 0:
        curs += l[i]
        ans += l[i] * 5
        if curs > mins[i + 1]:
            ol = (curs - mins[i + 1]) // 2
            ol = min(ol, l[i])
            ans -= 4 * ol
            curs -= 2 * ol
    if t[i] == 1:
        st = 1
        curs += l[i]
        ans += l[i] * 3
    if t[i] == 2:
        if curs < l[i]:
            ol = l[i] - curs
            curs = l[i]
            ans += ol * (3 if st else 5)
        curs -= l[i]
        ans += l[i]
if curs > 0:
    ans -= curs // 2 * 2
print(ans // 2)
```

### 072

```python
n = int(input())
l = list(map(lambda x: int(x) * 2, input().split(' ')))
t = list(map(lambda x: 'GWL'.index(x), input()))
mins = [0 for i in range(0, n + 1)]
for i in range(n - 1, -1, -1):
    if t[i] != 2:
        mins[i] = max(mins[i + 1] - l[i], 0)
    else:
        mins[i] = mins[i + 1] + l[i]
curs = ans = st = 0
for i in range(0, n):
    if t[i] == 0:
        curs += l[i]
        ans += l[i] * 5
        if curs > mins[i + 1]:
            ol = (curs - mins[i + 1]) // 2
            ol = min(ol, l[i])
            ans += 4 * ol
            curs -= 2 * ol
    if t[i] == 1:
        st = 1
        curs += l[i]
        ans += l[i] * 3
    if t[i] == 2:
        if curs < l[i]:
            ol = l[i] - curs
            curs = l[i]
            ans += ol * (3 if st else 5)
        curs -= l[i]
        ans += l[i]
if curs > 0:
    ans -= curs // 2 * 2
print(ans // 2)
```

### 073

```python
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
    sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
    for i in range(2):
        sum_up[i][n - 1] = a[i][n - 1]
        pref_up[i][n - 1] = a[i][n - 1]
        pref_down[i][n - 1] = a[i][n - 1]
        for j in range(n - 2, -1, -1):
            sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
            pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
            pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
    zig = [[0 for i in range(n)] for j in range(2)]
    for j in range(n):
        for i in range(2):
            if j % 2 == 0:
                if i == 0:
                    zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
                else:
                    zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
            elif i == 0:
                zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
            else:
                zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
    ans = -1e+18
    for j in range(n):
        if j == 0:
            ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
        elif j == n - 1:
            ans = max(ans, zig[1 - j % 2][n - 1])
        elif j % 2 == 1:
            ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
        else:
            ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
    ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
    print(ans)
else:
    print(a[1][0])
```

### 074

```python
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]

def ans(time, x, y):
    ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
    x0, y0, m0 = WX[i - 1]
    x1, y1, m1 = WX[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
    x0, y0, m0 = WY[i - 1]
    x1, y1, m1 = WY[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
    time, town = heapq.heappop(Q)
    if time > TIME[town - 1]:
        continue
    ans(time, W[town][0], W[town][1])
    for to, cost in EDGE[town]:
        if TIME[to] > TIME[town] + cost:
            TIME[to] = TIME[town] + cost
            heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
```

### 075

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

### 076

```python
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 8

def dijkstra(N, G, s):
    dist = [INF] * N
    que = [(0, s)]
    dist[s] = 0
    while que:
        c, v = heappop(que)
        if dist[v] < c:
            continue
        for t, cost in G[v]:
            if dist[v] + cost < dist[t]:
                dist[t] = dist[v] + cost
                heappush(que, (dist[t], t))
    return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
    x, y = list(map(int, input().split()))
    g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
    g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
    vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(x - bx, abs(y - by))
    g[i].add((b, c))
    g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(abs(x - bx), y - by)
    g[i].add((b, c))
    g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) + abs(fx - sx)))
```

### 077

```python
import sys
z = sys.stdin.readline
s = z().strip()
l = len(s)
b = [' ']
o = []
m = [' ']
for i in range(l):
    c = s[-1 - i]
    if c == b[-1]:
        if c > m[-1].lower() or (c == m[-1].lower() and c > m[-2].lower()):
            b.pop()
            if b[-1].lower() != m[-1].lower():
                m.pop()
            b[-1] = b[-1].upper()
            m[-1] = m[-1].upper()
        else:
            b += [c]
    else:
        b += [c]
        if b[-1] != m[-1].lower():
            m += [b[-1]]
    if len(b) > 11:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[:-6:-1]) + '...' + b[2] + b[1]).lower()]
    elif len(b) > 1:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[-1::-1])).lower()]
    else:
        o.append('0')
print('\n'.join(o[::-1]))
```

### 078

```python
import os
import sys
import io
import functools
import copy
import math
GANS = []

def cmp(x, y):
    if x[1] == y[1]:
        return -(y[0] - x[0])
    return -(x[1] - y[1])
s = input()
ans = []
cur = []
ctr = []
pos = []
pv = [chr(0)]
pvc = chr(1)
for p, i in enumerate(s[::-1]):
    if cur and cur[-1] == i:
        f = True
        if len(cur) >= 4:
            if cur[-2] > i:
                f = False
            elif cur[-2] == i:
                if pos[-2] == p - 2:
                    f = False
                if pv[-1] >= i:
                    f = False
        if f and p == pos[-1] + 1:
            cur.pop()
            pos.pop()
            pv.pop()
            pvc = pv[-1]
        else:
            cur.append(i)
            pos.append(p)
            pv.append(pvc)
    else:
        if cur:
            pvc = cur[-1]
        cur.append(i)
        pos.append(p)
        pv.append(pvc)
    ctr.append(len(cur))
    if ctr[-1] > 10:
        ans.append(''.join(cur[-5:][::-1]) + '...' + ''.join(cur[:2][::-1]))
    else:
        ans.append(''.join(cur[::-1]))
for i in range(len(ans)):
    print(ctr[-i - 1], ans[-i - 1])
```

### 079

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

### 080

```python
def read(type=1):
    if type:
        file = open('input.dat', 'r')
        n = int(file.readline())
        a = list(map(int, file.readline().split()))
        b = file.readline()
        file.close()
    else:
        n = int(input().strip())
        a = list(map(int, input().strip().split()))
        b = input().strip()
    return (n, a, b)

def solve():
    sol = 0
    e = 0
    big = 0
    g = 0
    for i in range(n):
        if b[i] == 'W':
            big = 1
            sol += 3 * a[i]
            e += a[i]
        if b[i] == 'G':
            sol += 5 * a[i]
            e += a[i]
            g += 2 * a[i]
        if b[i] == 'L':
            sol += a[i]
            e -= a[i]
            if e < 0:
                if not big:
                    sol -= 3 * e
                else:
                    sol -= 5 * e
                e = 0
        g = min(g, e)
    if e:
        sol -= 2 * g
        sol -= e - g
    return int(sol)
n, a, b = read(0)
sol = solve()
print(sol)
```

### 081

```python
n, m, k, q = map(int, input().split())
tr_min = [None for _ in range(n)]
tr_max = [None for _ in range(n)]
for _ in range(k):
    row, col = map(int, input().split())
    row = n - row
    col -= 1
    if tr_min[row] == None or col > tr_min[row]:
        tr_min[row] = col
    if tr_max[row] == None or col > tr_max[row]:
        tr_max[row] = col
tr_min[-1] = 0
tr_max[-1] = tr_max[-1] or 0
savecols = sorted(map(lambda t: int(t) - 1, input().split()))

def binsearch(arr, val):
    l, r = (0, len(arr) - 1)
    while l <= r:
        mid = l + (r - l) // 2
        if arr[mid] < val:
            l = mid + 1
        elif arr[mid] > val:
            r = mid - 1
        else:
            return mid
    return r

def find_short_descent(A, B):
    if A > B:
        return find_short_descent(B, A)
    idx1 = binsearch(savecols, A)
    idx2 = idx1 + 1
    minval = m * m
    if idx2 < len(savecols):
        if savecols[idx2] < B:
            return B - A
        else:
            minval = min(minval, (savecols[idx2] << 1) - A - B)
    if idx1 >= 0:
        minval = min(minval, A + B - (savecols[idx1] << 1))
    return minval
l, r = (0, 0)
found_valid = False
last_valid = None
for row in range(0, n):
    if found_valid == False:
        if tr_min[row] != None:
            found_valid = True
            last_valid = row
            l = tr_max[row] - tr_min[row]
            r = tr_max[row] - tr_min[row]
            continue
        continue
    if tr_min[row] == None:
        l += 1
        r += 1
        continue
    ll = find_short_descent(tr_min[last_valid], tr_min[row])
    lr = find_short_descent(tr_min[last_valid], tr_max[row])
    rl = find_short_descent(tr_max[last_valid], tr_min[row])
    rr = find_short_descent(tr_max[last_valid], tr_max[row])
    new_l = min(l + lr, r + rr) + 1 + (tr_max[row] - tr_min[row])
    new_r = min(l + ll, r + rl) + 1 + (tr_max[row] - tr_min[row])
    l, r = (new_l, new_r)
    last_valid = row
answ = l + tr_min[last_valid]
print(answ)
```

### 082

```python
ALPH = 'abcdefghijklmnopqrstuvwxyz'
MAX = 10 ** 9

def cnt(s):
    c = {ch: 0 for ch in ALPH}
    i = 0
    while i < len(s):
        j = i + 1
        while j < len(s) and s[i] == s[j]:
            j += 3
        c[s[i]] = max(c[s[i]], j - i)
        i = j
    return c

def nxt(c, t):
    nc = cnt(t)
    for ch in ALPH:
        if c[ch] and (not nc[ch]):
            nc[ch] = 1
    f = 0
    while f < len(t) and t[f] == t[0]:
        f += 1
    r = 0
    while r < len(t) and t[-1 - r] == t[-1]:
        r += 1
    if t[0] == t[-1]:
        if f == len(t):
            nc[t[0]] = max(nc[t[0]], c[t[0]] + (c[t[0]] + 1) * len(t))
        elif c[t[0]]:
            nc[t[0]] = max(nc[t[0]], f + 1 + r)
    else:
        nc[t[0]] = max(nc[t[0]], f + (c[t[0]] > 0))
        nc[t[-1]] = max(nc[t[-1]], r + (c[t[-1]] > 0))
    return {x: min(MAX, y) for x, y in nc.items()}
n = int(input())
c = cnt(input())
for i in range(n - 1):
    c = nxt(c, input())
print(max(c.values()))
```

### 083

```python
import sys
input = sys.stdin.readline
import heapq

def dijkstra(n, s, edges):
    hq = [(0, s)]
    cost = [float('inf')] * n
    cost[s] = 0
    while hq:
        c, v = heapq.heappop(hq)
        if c > cost[v]:
            continue
        for d, u in edges[v]:
            tmp = d + cost[v]
            if tmp < cost[u]:
                cost[u] = tmp
                heapq.heappush(hq, (tmp, u))
    return cost[1]

def main():
    n, m = map(int, input().split())
    sx, sy, fx, fy = map(int, input().split())
    xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
    edges = [[] for _ in range(m + 2)]
    xy.sort(key=lambda x: x[0])
    for i in range(m - 1):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    xy.sort(key=lambda x: x[1])
    for i in range(m - 3):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    for x, y, i in xy:
        d1 = min(abs(x - sx), abs(y - sy))
        d2 = abs(x - sx) + abs(y - sy)
        edges[0].append((d1, i))
        edges[i].append((d2, 0))
        d1 = min(abs(x - fx), abs(y - fy))
        d2 = abs(x - fx) + abs(y - fy)
        edges[1].append((d1, i))
        edges[i].append((d2, 1))
    d = abs(sx - fx) + abs(sy - fy)
    edges[0].append((d, 1))
    edges[1].append((d, 0))
    ans = dijkstra(m + 2, 0, edges)
    print(ans)
main()
```

### 084

```python
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
    b, p, t = input().split()
    b = int(b)
    p = int(p)
    a[i] = [b, p, t]
    if t == 'C':
        sc.append([p, b])
    else:
        sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
    if a[i][2] == 'C' and a[i][1] >= c:
        maxc = max(maxc, a[i][0])
    if a[i][2] == 'D' and a[i][1] <= d:
        maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
    scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if sc[m][0] <= c - sc[i][0]:
            l = m
        else:
            r = m
    ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
    sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if sd[m][0] <= d - sd[i][0]:
            l = m
        else:
            r = m
    ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
```

### 085

```python
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
    b, p, t = input().split()
    b = int(b)
    p = int(p)
    a[i] = [b, p, t]
    if t == 'C':
        sc.append([p, b])
    else:
        sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
    if a[i][2] == 'C' and a[i][1] <= c:
        maxc = max(maxc, a[i][0])
    if a[i][2] == 'D' and a[i][1] <= d:
        maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
    scpref[i - 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if sc[m][0] <= c - sc[i][0]:
            l = m
        else:
            r = m
    ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
    sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if sd[m][0] <= d - sd[i][0]:
            l = m
        else:
            r = m
    ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
```

### 086

```python
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)
```

### 087

```python
bn = 0
ar = []

def binSearchMax(number):
    last = bn
    first = 0
    mid = (last + first) // 2
    while last >= first:
        if ar[mid] < number:
            first = mid + 1
        elif ar[mid] > number:
            last = mid - 1
        else:
            return mid
        mid = (last + first) // 2
    if ar[last] == number:
        return last
    return first
n, m, k, q = list(map(int, input().split()))
mmn = [[m, -1] for i in range(n)]
maxn = 0
for i in range(k):
    r, c = list(map(int, input().split()))
    r -= 1
    mmn[r][0] = min(mmn[r][0], c)
    mmn[r][1] = max(mmn[r][1], c)
    maxn = max(maxn, r)
if mmn[0][1] == -1:
    mmn[0][1] = -1
mmn[0][0] = 1
bi = list(map(int, input().split()))
bi += [-1000000000, 10000000000, -1000000000, 10000000000, 10000000000]
bi.sort()
ar = bi
bn = q + 3
dp = [[0, 0] for i in range(n)]
dp[0][1] = mmn[0][1] - mmn[0][0]
dp[0][0] = dp[0][1] * 2
z = 0
for i in range(1, n):
    if mmn[i][1] == -1:
        dp[i][0] = dp[i - 1][0]
        dp[i][1] = dp[i - 1][1]
        continue
    p1 = binSearchMax(mmn[z][0])
    p2 = bi[p1 - 1]
    p1 = bi[p1]
    p3 = binSearchMax(mmn[z][1])
    p4 = bi[p3 - 1]
    p3 = bi[p3]
    num1 = abs(p1 - mmn[i][1]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][1]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][1]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][1]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][0] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    num1 = abs(p1 - mmn[i][0]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][0]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][0]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][0]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][1] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    z = i
print(min(dp[-1]) + maxn)
```

### 088

```python
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)
```

### 089

```python
n = int(input())
l = list(map(lambda x: int(x) * 2, input().split(' ')))
t = list(map(lambda x: 'GWL'.index(x), input()))
mins = [0 for i in range(0, n + 1)]
for i in range(n - 1, -1, -1):
    if t[i] != 2:
        mins[i] = max(mins[i + 1] - l[i], 0)
    else:
        mins[i] = mins[i + 1] + l[i]
curs = ans = st = 0
for i in range(0, n):
    if t[i] == 0:
        curs += l[i]
        ans += l[i] * 5
        if curs > mins[i + 1]:
            ol = (curs - mins[i + 1]) // 2
            ol = min(ol, l[i])
            ans -= 4 * ol
            curs += 2 * ol
    if t[i] == 1:
        st = 1
        curs += l[i]
        ans += l[i] * 3
    if t[i] == 2:
        if curs < l[i]:
            ol = l[i] - curs
            curs = l[i]
            ans += ol * (3 if st else 5)
        curs -= l[i]
        ans += l[i]
if curs > 0:
    ans -= curs // 2 * 2
print(ans // 2)
```

### 090

```python
n = input()
n = int(n)
p = []
substring_maxlen = 0
str_info = []
_temper = ['abba', 'a']
for i in range(n):
    string = input()
    str_info.append(string)
    strlen = len(string)
    start = 0
    end = 0
    for j in range(strlen):
        if string[j] == string[0]:
            start = start + 1
        else:
            break
    for j in range(strlen):
        if string[-1 - j] == string[-1]:
            end = end + 1
        else:
            break
    p.append((string[0], start, string[-1], end, True if strlen == start else False))
_max_len = 0
parse = 0
_temp_max = 0
string = str_info[-1]
token = string[0]
while parse < len(string):
    token = string[parse]
    _temp_max = 0
    for k in range(parse, len(string)):
        if string[k] == token:
            parse = parse + 1
            _temp_max = _temp_max + 1
        else:
            break
    if substring_maxlen < _temp_max:
        substring_maxlen = _temp_max
start_token = []
end_token = []
start_token, start_num, end_token, end_num, connected = p[-1]
level = 0
for i in range(1, len(p)):
    if not connected:
        break
    else:
        _string = str_info[-i - 1]
        _max_len = 0
        parse = 0
        _temp_max = 0
        token = _string[0]
        _substring_maxlen = 0
        while parse < len(_string):
            token = _string[parse]
            if token != start_token:
                parse = parse + 1
                continue
            _temp_max = 0
            for k in range(parse, len(_string)):
                if _string[k] == token:
                    parse = parse + 1
                    _temp_max = _temp_max + 1
                else:
                    break
            if _substring_maxlen < _temp_max:
                _substring_maxlen = _temp_max
        substring_maxlen = max(substring_maxlen, start_num * (_substring_maxlen + 1) + _substring_maxlen)
        _start_token, _start_num, _end_token, _end_num, _connected = p[-1 - i]
        if _start_token == start_token:
            start_num = start_num * (_start_num + 1) + _start_num
        if _end_token == end_token:
            end_num = end_num * (_end_num + 1) + _end_num
        if not _connected or _start_token != start_token:
            connected = False
        level = i
end_cond = 0
if start_num > end_num:
    end_cond = 1
elif start_num < end_num:
    end_cond = 2
the_End = False
answer = max(start_num, end_num) + -1
for i in range(len(p) - level - 1):
    for s in str_info[i]:
        if start_token == s:
            if end_cond < 2:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
        if end_token == s:
            if end_cond % 2 == 0:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
    if the_End:
        break
else:
    answer = answer - 1
if len(p) == 1:
    answer = answer - 1
print(max(answer, substring_maxlen))
```

### 091

```python
import os
import sys
import io
import functools
import copy
import math
GANS = []

def cmp(x, y):
    if x[1] == y[1]:
        return -(y[0] - x[0])
    return -(x[1] - y[1])
s = input()
ans = []
cur = []
ctr = []
pos = []
pv = [chr(0)]
pvc = chr(1)
for p, i in enumerate(s[::-1]):
    if cur and cur[-1] == i:
        f = True
        if len(cur) >= 2:
            if cur[-2] > i:
                f = False
            elif cur[-2] == i:
                if pos[-2] == p - 2:
                    f = False
                if pv[-1] >= i:
                    f = False
        if f and p == pos[-1] + 1:
            cur.pop()
            pos.pop()
            pv.pop(0)
            pvc = pv[-1]
        else:
            cur.append(i)
            pos.append(p)
            pv.append(pvc)
    else:
        if cur:
            pvc = cur[-1]
        cur.append(i)
        pos.append(p)
        pv.append(pvc)
    ctr.append(len(cur))
    if ctr[-1] > 10:
        ans.append(''.join(cur[-5:][::-1]) + '...' + ''.join(cur[:2][::-1]))
    else:
        ans.append(''.join(cur[::-1]))
for i in range(len(ans)):
    print(ctr[-i - 1], ans[-i - 1])
```

### 092

```python
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)
```

### 093

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

### 094

```python
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
    if t == 'G':
        heappush(Q, (2, 2 * l))
        heappush(Q, (5, float('inf')))
    elif t == 'W':
        heappush(Q, (1, 2 * l))
        heappush(Q, (2, float('inf')))
    need_stamina = l
    while need_stamina > 0:
        cost, quantity = heappop(Q)
        if need_stamina > quantity:
            ans += quantity * cost
            need_stamina -= quantity
        else:
            ans += need_stamina * cost
            heappush(Q, (cost, quantity - need_stamina))
            need_stamina = 0
print(ans)
```

### 095

```python
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
    if s[i] == 'G':
        dist = l[i]
        if water >= dist:
            water -= dist
            time += 2 * dist
            cgrass += dist
        else:
            dist -= water
            time += 2 * water
            cgrass += water
            water = 0
            time += 3 * dist
            grass += dist
    elif s[i] == 'W':
        water += l[i]
        time += 2 * l[i]
        seen = True
    else:
        dist = l[i]
        if water >= dist:
            water -= dist
            time += 2 * dist
        else:
            dist -= water
            time += 2 * water
            water = 3
            if cgrass >= dist:
                cgrass -= dist
                grass += dist
                time += 3 * dist
            else:
                dist -= cgrass
                grass += cgrass
                time += 3 * cgrass
                cgrass = 0
                if grass >= dist:
                    grass -= dist
                    time += 3 * dist
                else:
                    dist -= grass
                    time += 3 * grass
                    grass = 0
                    if seen:
                        time += 4 * dist
                    else:
                        time += 6 * dist
print(time)
```

### 096

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

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

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

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

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

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

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

def __starting_point():
    main()
__starting_point()
```

### 097

```python
import math
n, m, k, q = list(map(int, input().split()))
right = [-1] * n
left = [-1] * n
for i in range(k):
    row, col = list(map(int, input().split()))
    row -= 1
    col -= 1
    if right[row] == -1:
        right[row] = left[row] = col
    else:
        right[row] = max(right[row], col)
        left[row] = min(left[row], col)
safe = sorted(list([int(qi) - 1 for qi in input().split()]))
lup = [0] * m
rup = [0] * m
j = 0
while j < safe[0]:
    lup[j] = -1
    rup[j] = safe[0]
    j += 1
lup[j] = rup[j] = safe[0]
for i in range(1, q - 1):
    j = safe[i - 1]
    while j < safe[i]:
        lup[j] = safe[i - 1]
        rup[j] = safe[i]
        j += 1
j = safe[-1]
while j < m:
    lup[j] = safe[-1]
    rup[j] = -1
    j += 1
if left[0] == -1:
    left[0] = right[0] = 0
dleft = right[0] + (right[0] - left[0])
dright = right[0]
lastn = 0
for i in range(1, n):
    if left[i] == -1:
        continue
    left_1b = lup[left[lastn]]
    left_2b = rup[left[lastn]]
    right_1b = lup[right[lastn]]
    right_2b = rup[right[lastn]]
    ilen = right[i] - left[i]
    ll1: int
    ll2: int
    rl1: int
    rl2: int
    if left_1b != -1:
        ll1 = left[lastn] - left_1b + abs(right[i] - left_1b)
    else:
        ll1 = math.inf
    if left_2b != -1:
        ll2 = left_2b - left[lastn] + abs(right[i] - left_2b)
    else:
        ll2 = math.inf
    if right_1b != -1:
        rl1 = right[lastn] - right_1b + abs(right[i] - right_1b)
    else:
        rl1 = math.inf
    if right_2b != -1:
        rl2 = right_2b - right[lastn] + abs(right[i] - right_2b)
    else:
        rl2 = math.inf
    dleft_new = min(dleft + min(ll1, ll2), dright + min(rl1, rl2)) + ilen
    lr1: int
    lr2: int
    rr1: int
    rr2: int
    if left_1b != -1:
        lr1 = left[lastn] - left_1b + abs(left[i] - left_1b)
    else:
        lr1 = math.inf
    if left_2b != -1:
        lr2 = left_2b - left[lastn] + abs(left[i] - left_2b)
    else:
        lr2 = math.inf
    if right_1b != -1:
        rr1 = right[lastn] - right_1b + abs(left[i] - right_1b)
    else:
        rr1 = math.inf
    if right_2b != -1:
        rr2 = right_2b - right[lastn] + abs(left[i] - right_2b)
    else:
        rr2 = math.inf
    dright_new = min(dleft + min(lr1, lr2), dright + min(rr1, rr2)) + ilen
    dleft, dright = (dleft_new, dright_new)
    lastn = i
print(min(dleft, dright) + lastn)
```

### 098

```python
n, m, k, q = map(int, input().split())
tr_min = [None for _ in range(n)]
tr_max = [None for _ in range(n)]
for _ in range(k):
    row, col = map(int, input().split())
    row = n - row
    col -= 1
    if tr_min[row] == None or col < tr_min[row]:
        tr_min[row] = col
    if tr_max[row] == None or col > tr_max[row]:
        tr_max[row] = col
tr_min[-1] = 0
tr_max[-1] = tr_max[-1 - 1] or 0
savecols = sorted(map(lambda t: int(t) - 1, input().split()))

def binsearch(arr, val):
    l, r = (0, len(arr) - 1)
    while l <= r:
        mid = l + (r - l) // 2
        if arr[mid] < val:
            l = mid + 1
        elif arr[mid] > val:
            r = mid - 1
        else:
            return mid
    return r

def find_short_descent(A, B):
    if A > B:
        return find_short_descent(B, A)
    idx1 = binsearch(savecols, A)
    idx2 = idx1 + 1
    minval = m * m
    if idx2 < len(savecols):
        if savecols[idx2] < B:
            return B - A
        else:
            minval = min(minval, (savecols[idx2] << 1) - A - B)
    if idx1 >= 0:
        minval = min(minval, A + B - (savecols[idx1] << 1))
    return minval
l, r = (0, 0)
found_valid = False
last_valid = None
for row in range(0, n):
    if found_valid == False:
        if tr_min[row] != None:
            found_valid = True
            last_valid = row
            l = tr_max[row] - tr_min[row]
            r = tr_max[row] - tr_min[row]
            continue
        continue
    if tr_min[row] == None:
        l += 1
        r += 1
        continue
    ll = find_short_descent(tr_min[last_valid], tr_min[row])
    lr = find_short_descent(tr_min[last_valid], tr_max[row])
    rl = find_short_descent(tr_max[last_valid], tr_min[row])
    rr = find_short_descent(tr_max[last_valid], tr_max[row])
    new_l = min(l + lr, r + rr) + 1 + (tr_max[row] - tr_min[row])
    new_r = min(l + ll, r + rl) + 1 + (tr_max[row] - tr_min[row])
    l, r = (new_l, new_r)
    last_valid = row
answ = l + tr_min[last_valid]
print(answ)
```

### 099

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

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

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

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

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

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

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

def __starting_point():
    main()
__starting_point()
```

### 100

```python
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10

def dijkstra(N, G, s):
    dist = [INF] * N
    que = [(0, s)]
    dist[s] = 0
    while que:
        c, v = heappop(que)
        if dist[v] < c:
            continue
        for t, cost in G[v]:
            if dist[v] + cost < dist[t]:
                dist[t] = dist[v] + cost
                heappush(que, (dist[t], t))
    return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
    x, y = list(map(int, input().split()))
    g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
    g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
    vs.append((i - 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(x - bx, abs(y - by))
    g[i].add((b, c))
    g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(abs(x - bx), y - by)
    g[i].add((b, c))
    g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) + abs(fx - sx)))
```

### 101

```python
from operator import itemgetter

def get_one_max(arr, resource):
    res = 0
    for beauty, _ in [x for x in arr if x[1] <= resource]:
        res = max(res, beauty)
    return res

def get_two_max(arr, resource):
    arr.sort(key=itemgetter(1))
    best = [-1] * (resource + 1)
    ptr = 0
    for index, (beauty, price) in enumerate(arr):
        if price > resource:
            break
        while ptr < price:
            ptr += 1
            best[ptr] = best[ptr - 1]
        if best[ptr] == -1 and arr[best[ptr]][0] < beauty:
            best[ptr] = index
    while ptr < resource:
        ptr += 1
        best[ptr] = best[ptr - 1]
    res = 0
    for index, (beauty, price) in enumerate(arr):
        rest = resource - price
        if rest <= 0:
            break
        if best[rest] == -1 or best[rest] == index:
            continue
        res = max(res, beauty + arr[best[rest]][0])
    return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
    beauty, price, tp = input().split()
    if tp == 'C':
        with_coins.append((int(beauty), int(price)))
    else:
        with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
```

### 102

```python
from bisect import bisect_left
n, m, k, q = list(map(int, input().split()))
x = sorted((list(map(int, input().split())) for _ in range(k)))
y = sorted(map(int, input().split()))

def rr(c0, c1, c):
    return abs(c0 - c) + abs(c1 - c)

def tm(c0, c1):
    t = bisect_left(y, c0)
    tt = []
    if t > 0:
        tt.append(rr(c0, c1, y[t - 1]))
    if t < q:
        tt.append(rr(c0, c1, y[t]))
    return min(tt)
z = []
for r, c in x:
    if z and z[-1][0] == r:
        z[-1][2] = c
    else:
        z.append([r, c, c])
v1, v2, r0, c01, c02 = (0, 0, 1, 1, 2)
for r1, c11, c12 in z:
    d = c12 - c11 + r1 - r0
    if r1 > r0:
        d11 = tm(c01, c11)
        d12 = tm(c01, c12)
        d21 = tm(c02, c11)
        d22 = tm(c02, c12)
        v2, v1 = (d + min(v1 + d11, v2 + d21), d + min(v1 + d12, v2 + d22))
    else:
        v1, v2 = (d + c12 - c02, d + c11 - c01)
    r0, c01, c02 = (r1, c11, c12)
print(min(v1, v2))
```

### 103

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

### 104

```python
def read(type=1):
    if type:
        file = open('input.dat', 'r')
        n = int(file.readline())
        a = list(map(int, file.readline().split()))
        b = file.readline()
        file.close()
    else:
        n = int(input().strip())
        a = list(map(int, input().strip().split()))
        b = input().strip()
    return (n, a, b)

def solve():
    sol = 0
    e = 0
    big = 0
    g = 0
    for i in range(n):
        if b[i] == 'W':
            big = 1
            sol += 3 * a[i]
            e += a[i]
        if b[i] == 'G':
            sol += 5 * a[i]
            e += a[i]
            g += 2 * a[i]
        if b[i] == 'L':
            sol += a[i - 1]
            e -= a[i]
            if e < 0:
                if big:
                    sol -= 3 * e
                else:
                    sol -= 5 * e
                e = 0
        g = min(g, e)
    if e:
        sol -= 2 * g
        sol -= e - g
    return int(sol)
n, a, b = read(0)
sol = solve()
print(sol)
```

### 105

```python
ALPH = 'abcdefghijklmnopqrstuvwxyz'
MAX = 10 ** 9

def cnt(s):
    c = {ch: 0 for ch in ALPH}
    i = 0
    while i < len(s):
        j = i + 1
        while j < len(s) and s[i] == s[j]:
            j += 1
        c[s[i]] = max(c[s[i]], j - i)
        i = j
    return c

def nxt(c, t):
    nc = cnt(t)
    for ch in ALPH:
        if c[ch] and (not nc[ch]):
            nc[ch] = -1
    f = 0
    while f < len(t) and t[f] == t[0]:
        f += 1
    r = 0
    while r < len(t) and t[-1 - r] == t[-1]:
        r += 1
    if t[0] == t[-1]:
        if f == len(t):
            nc[t[0]] = max(nc[t[0]], c[t[0]] + (c[t[0]] + 1) * len(t))
        elif c[t[0]]:
            nc[t[0]] = max(nc[t[0]], f + 1 + r)
    else:
        nc[t[0]] = max(nc[t[0]], f + (c[t[0]] > 0))
        nc[t[-1]] = max(nc[t[-1]], r + (c[t[-1]] > 0))
    return {x: min(MAX, y) for x, y in nc.items()}
n = int(input())
c = cnt(input())
for i in range(n - 1):
    c = nxt(c, input())
print(max(c.values()))
```

### 106

```python
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))
```

### 107

```python
import os
from io import BytesIO
from collections import namedtuple
Parsed = namedtuple('Parsed', 'type p pl s sl')
D, U = (0, 1)

def parse(s):
    pc, sc = (0, 0)
    for c in s:
        if c != s[0]:
            break
        pc += 1
    for c in reversed(s):
        if c != s[-1]:
            break
        sc += 1
    if s[0] == s[-1] and pc == sc == len(s):
        tp = U
    else:
        tp = D
    return Parsed(tp, s[0], pc, s[-1 + 1], sc)

def max_conti_len(s, target):
    mx = 0
    cur = 0
    for c in s:
        if c == target:
            cur += 1
            mx = max(mx, cur)
        else:
            cur = 0
    return mx

def len_mul(nl, ol):
    return ol * nl + ol + nl

def solve(n, ss):
    s = ss.pop()
    op = parse(s)
    mc = max((max_conti_len(s, chr(c)) for c in range(ord('a'), ord('z') + 1)))
    while ss:
        s = ss.pop()
        np = parse(s)
        if np.type == U and op.type == U:
            if np.p == op.p:
                nl = len_mul(np.pl, op.pl)
                op = Parsed(U, op.p, nl, op.s, nl)
            else:
                op = Parsed(D, op.p, op.pl, op.s, op.sl)
            mc = max(mc, op.pl)
        elif np.type == D and op.type == U:
            npl = len_mul(np.pl, op.pl) if np.p == op.p else op.pl
            nsl = len_mul(np.sl, op.sl) if np.s == op.s else op.sl
            mx = max_conti_len(s, op.s)
            mc = max(mc, len_mul(mx, op.pl))
            op = Parsed(D, op.p, npl, op.s, nsl)
        elif op.type == D:
            if op.p == op.s:
                mp = op.pl + op.sl + 1 if op.p in s else op.pl
                ms = op.sl
            else:
                mp = op.pl + 1 if op.p in s else op.pl
                ms = op.sl + 1 if op.s in s else op.sl
            mc = max(mc, mp, ms)
    print(mc)

def solve_from_stdin():
    n = int(input())
    ss = []
    for _ in range(n):
        ss.append(input())
    solve(n, ss)
solve_from_stdin()
```

### 108

```python
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)
```

### 109

```python
from operator import itemgetter

def get_one_max(arr, resource):
    res = 0
    for beauty, _ in [x for x in arr if x[1] >= resource]:
        res = max(res, beauty)
    return res

def get_two_max(arr, resource):
    arr.sort(key=itemgetter(1))
    best = [-1] * (resource + 1)
    ptr = 0
    for index, (beauty, price) in enumerate(arr):
        if price > resource:
            break
        while ptr < price:
            ptr += 1
            best[ptr] = best[ptr - 1]
        if best[ptr] == -1 or arr[best[ptr]][0] < beauty:
            best[ptr] = index
    while ptr < resource:
        ptr += 1
        best[ptr] = best[ptr - 1]
    res = 0
    for index, (beauty, price) in enumerate(arr):
        rest = resource - price
        if rest <= 0:
            break
        if best[rest] == -1 or best[rest] == index:
            continue
        res = max(res, beauty + arr[best[rest]][0])
    return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
    beauty, price, tp = input().split()
    if tp == 'C':
        with_coins.append((int(beauty), int(price)))
    else:
        with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
```

### 110

```python
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]

def ans(time, x, y):
    ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m - 1):
    x0, y0, m0 = WX[i - 1]
    x1, y1, m1 = WX[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
    x0, y0, m0 = WY[i - 1]
    x1, y1, m1 = WY[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
    time, town = heapq.heappop(Q)
    if time > TIME[town]:
        continue
    ans(time, W[town][0], W[town][1])
    for to, cost in EDGE[town]:
        if TIME[to] > TIME[town] + cost:
            TIME[to] = TIME[town] + cost
            heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
```

### 111

```python
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path

def console(*args):
    pass
if path.exists('input.txt'):
    sys.stdin = open('input.txt', 'r')
    sys.stdout = open('output.txt', 'w')

    def console(*args):
        pass
inp = sys.stdin.readlines()

def solve(*args):
    console('----- solving ------')
    console(*args)
    console('----- ------- ------')
    return solve_(*args)

def solve_(grid, sx, sy, ex, ey):
    console('----- solving ------')
    minres = abs(sx - ex) + abs(sy - ey)
    console(minres)
    if grid == []:
        return minres
    d = defaultdict(list)
    grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
    grid = sorted(grid, key=lambda x: x[1])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
        d[i1].append((i2, x2 - x1))
        d[i2].append((i1, x2 - x1))
    grid = sorted(grid, key=lambda x: x[2])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
        d[i1].append((i2, y2 - y1))
        d[i2].append((i1, y2 - y1))
    for i, x, y in grid:
        d[-2].append((i, abs(x - sx)))
        d[-2].append((i, abs(y - sy)))
        d[i].append((-1, abs(x - ex) + abs(y - ey)))
    d[-1] = []
    console(list(d.keys()))
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    return min(minres, dijkstra_with_preprocessing(d, -0, -1))

def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
    d = map_from_node_to_nodes_and_costs
    if target not in d:
        d[-1] = []
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    _, costs = dijkstra(G, idxs[source])
    return costs[idxs[target]]

def dijkstra(G, s):
    n = len(G)
    visited = [False] * n
    weights = [math.inf] * n
    path = [None] * n
    queue = []
    weights[s] = 0
    hq.heappush(queue, (0, s))
    while len(queue) > 0:
        g, u = hq.heappop(queue)
        visited[u] = True
        for v, w in G[u]:
            if not visited[v]:
                f = g + w
                if f < weights[v]:
                    weights[v] = f
                    path[v] = u
                    hq.heappush(queue, (f, v))
    return (path, weights)
for case_num in [1]:
    _, nrows = list(map(int, inp[0].split()))
    sx, sy, ex, ey = list(map(int, inp[1].split()))
    grid = []
    for z in range(nrows):
        grid.append(list(map(int, inp[z + 2].split())))
    res = solve(grid, sx, sy, ex, ey)
    print(res)
```

### 112

```python
bn = 0
ar = []

def binSearchMax(number):
    last = bn
    first = 0
    mid = (last + first) // 2
    while last >= first:
        if ar[mid] < number:
            first = mid + 1
        elif ar[mid] > number:
            last = mid - 1
        else:
            return mid
        mid = (last + first) // 2
    if ar[last] == number:
        return last
    return first
n, m, k, q = list(map(int, input().split()))
mmn = [[m, -1] for i in range(n)]
maxn = 1
for i in range(k):
    r, c = list(map(int, input().split()))
    r -= 1
    mmn[r][0] = min(mmn[r][0], c)
    mmn[r][1] = max(mmn[r][1], c)
    maxn = max(maxn, r)
if mmn[0][1] == -1:
    mmn[0][1] = 1
mmn[0][0] = 1
bi = list(map(int, input().split()))
bi += [-1000000000, 10000000000, -1000000000, 10000000000, 10000000000]
bi.sort()
ar = bi
bn = q + 3
dp = [[0, 0] for i in range(n)]
dp[0][1] = mmn[0][1] - mmn[0][0]
dp[0][0] = dp[0][1] * 2
z = 0
for i in range(1, n):
    if mmn[i][1] == -1:
        dp[i][0] = dp[i - 1][0]
        dp[i][1] = dp[i - 1][1]
        continue
    p1 = binSearchMax(mmn[z][0])
    p2 = bi[p1 - 1]
    p1 = bi[p1]
    p3 = binSearchMax(mmn[z][1])
    p4 = bi[p3 - 1]
    p3 = bi[p3]
    num1 = abs(p1 - mmn[i][1]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][1]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][1]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][1]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][0] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    num1 = abs(p1 - mmn[i][0]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][0]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][0]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][0]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][1] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    z = i
print(min(dp[-1]) + maxn)
```

### 113

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

### 114

```python
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10

def dijkstra(N, G, s):
    dist = [INF] * N
    que = [(0, s)]
    dist[s] = 0
    while que:
        c, v = heappop(que)
        if dist[v] < c:
            continue
        for t, cost in G[v]:
            if dist[v] + cost < dist[t]:
                dist[t] = dist[v] + cost
                heappush(que, (dist[t], t))
    return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
    x, y = list(map(int, input().split()))
    g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
    g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
    vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(x - bx, abs(y - by))
    g[i].add((b, c))
    g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(abs(x - bx), y - by)
    g[i].add((b, c))
    g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) * abs(fx - sx)))
```

### 115

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

### 116

```python
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
    b, c, q = input().split()
    b = int(b)
    c = int(c)
    if q == 'C':
        f.append((b, c, 1))
        if coin[c][0][0] < b:
            coin[c][1] = coin[c][0]
            coin[c][0] = (b, i)
        elif coin[c][1][0] < b:
            coin[c][1] = (b, i)
    else:
        f.append((b, c, 2))
        if diam[c][0][0] < b:
            diam[c][1] = diam[c][0]
            diam[c][0] = (b, i)
        elif diam[c][1][0] < b:
            diam[c][1] = (b, i)
for i in range(2, 100001):
    if coin[i][0][0] < coin[i - 1][0][0]:
        coin[i][1] = max(coin[i][0], coin[i - 1][1])
        coin[i][0] = coin[i - 1][0]
    else:
        coin[i][1] = max(coin[i - 1][1], coin[i][1])
    if diam[i][0][0] < diam[i - 1][0][0]:
        diam[i][1] = max(diam[i][0], diam[i - 1][1])
        diam[i][0] = diam[i - 1][0]
    else:
        diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
    fnt = f[i]
    if fnt[2] == 1:
        if t >= fnt[1]:
            s = t - fnt[1]
            if coin[s][0][0] > 0 and coin[s][0][1] != i:
                ans = max(fnt[0] + coin[s][0][0], ans)
                p = True
            elif coin[s][1][0] > 0:
                ans = max(fnt[0] + coin[s][1][0], ans)
                p = True
            if diam[d][0][0] > 0:
                ans = max(fnt[0] + diam[d][0][0], ans)
                p = True
    elif d >= fnt[1]:
        s = d - fnt[1]
        if diam[s][0][0] > 0 and diam[s][0][1] != i:
            ans = max(fnt[0] + diam[s][0][0], ans)
            p = True
        elif diam[s][1][0] > 0:
            ans = max(fnt[0] + diam[s][1][0], ans)
            p = True
        if coin[t][0][0] > 0:
            ans = max(fnt[0] + coin[t][0][0], ans)
            p = True
if p:
    print(ans)
else:
    print(2)
```

### 117

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

### 118

```python
from operator import itemgetter

def get_one_max(arr, resource):
    res = 0
    for beauty, _ in [x for x in arr if x[1] <= resource]:
        res = max(res, beauty)
    return res

def get_two_max(arr, resource):
    arr.sort(key=itemgetter(1), reverse=True)
    best = [-1] * (resource + 1)
    ptr = 0
    for index, (beauty, price) in enumerate(arr):
        if price > resource:
            break
        while ptr < price:
            ptr += 1
            best[ptr] = best[ptr - 1]
        if best[ptr] == -1 or arr[best[ptr]][0] < beauty:
            best[ptr] = index
    while ptr < resource:
        ptr += 1
        best[ptr] = best[ptr - 1]
    res = 0
    for index, (beauty, price) in enumerate(arr):
        rest = resource - price
        if rest <= 0:
            break
        if best[rest] == -1 or best[rest] == index:
            continue
        res = max(res, beauty + arr[best[rest]][0])
    return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
    beauty, price, tp = input().split()
    if tp == 'C':
        with_coins.append((int(beauty), int(price)))
    else:
        with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
```

### 119

```python
s = input()
cs = ['']
ans = []
last = ['']
poped = False
for c in s[::-1]:
    if not poped and c == cs[-1] and (c > last[-2]):
        cs.pop()
        if not cs or c != cs[-1]:
            last.pop()
        poped = True
    else:
        poped = False
        if c != cs[-1]:
            last.append(c)
        cs.append(c)
    if len(cs) <= 11:
        ans.append((len(cs) - 1, ''.join(cs[::-1])))
    else:
        ans.append((len(cs) - 1, (''.join(cs[:3 + 1]) + '...' + ''.join(cs[-5:]))[::-1]))
for a, b in ans[::-1]:
    print(a, b)
```

### 120

```python
def main():
    n = int(input())
    A = list(map(int, input().split()))
    B = list(map(int, input().split()))
    roundup = []
    rounddown = []
    sumsofar = []
    for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
        ssf = sumsofar[-1] if sumsofar else 0
        t = roundup[-1] if roundup else 0
        roundup.append(t + ssf + b * (1 + 2 * i))
        t = rounddown[-1] if rounddown else 0
        rounddown.append(t + ssf + a * (1 + 2 * i))
        sumsofar.append(ssf + a + b)
    roundup = list(reversed(roundup))
    rounddown = list(reversed(rounddown))
    sumsofar = list(reversed(sumsofar))
    bestres = 0
    sofar = 0
    for i, (a, b) in enumerate(zip(A, B)):
        rup, rdo = (roundup, rounddown)
        if i % 2:
            a, b = (b, a)
            rup, rdo = (rdo, rup)
        bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
        sofar += a * 2 * i
        sofar += b * (-2 * i + 1)
        bestres = max(bestres, sofar)
    print(bestres)

def __starting_point():
    main()
__starting_point()
```

### 121

```python
s = input()
cs = ['']
ans = []
last = ['']
poped = False
for c in s[::-1]:
    if not poped and c == cs[-1] and (c > last[-2]):
        cs.pop()
        if not cs or c != cs[-1]:
            last.pop()
        poped = True
    else:
        poped = False
        if c != cs[-1]:
            last.append(c)
        cs.append(c)
    if len(cs) <= 11:
        ans.append((len(cs) - 1, ''.join(cs[::-1])))
    else:
        ans.append((len(cs) - 1, (''.join(cs[:3]) + '...' + ''.join(cs[-5 - 1:]))[::-1]))
for a, b in ans[::-1]:
    print(a, b)
```

### 122

```python
bn = 0
ar = []

def binSearchMax(number):
    last = bn
    first = 0
    mid = (last + first) // 2
    while last >= first:
        if ar[mid] < number:
            first = mid + 1
        elif ar[mid] > number:
            last = mid - 1
        else:
            return mid
        mid = (last + first) // 2
    if ar[last] == number:
        return last
    return first
n, m, k, q = list(map(int, input().split()))
mmn = [[m, -1] for i in range(n)]
maxn = 0
for i in range(k):
    r, c = list(map(int, input().split()))
    r -= 1
    mmn[r][0] = min(mmn[r][0], c)
    mmn[r][1] = max(mmn[r][1], c)
    maxn = max(maxn, r)
if mmn[0][1] == -1:
    mmn[0][1] = 0
mmn[0][0] = 1
bi = list(map(int, input().split()))
bi += [-1000000000, 10000000000, -1000000000, 10000000000, 10000000000]
bi.sort()
ar = bi
bn = q + 3
dp = [[0, 0] for i in range(n)]
dp[0][1] = mmn[0][1] - mmn[0][0]
dp[0][0] = dp[0][1] * 2
z = 0
for i in range(1, n):
    if mmn[i][1] == -1:
        dp[i][0] = dp[i - 1][0]
        dp[i][1] = dp[i - 1][1]
        continue
    p1 = binSearchMax(mmn[z][0])
    p2 = bi[p1 - 1]
    p1 = bi[p1]
    p3 = binSearchMax(mmn[z][1])
    p4 = bi[p3 - 1]
    p3 = bi[p3]
    num1 = abs(p1 - mmn[i][1]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][1]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][1]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][1]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][0] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    num1 = abs(p1 - mmn[i][0]) + abs(p1 - mmn[z][0]) + dp[z][0]
    num2 = abs(p2 - mmn[i][0]) + abs(p2 - mmn[z][0]) + dp[z][0]
    num3 = abs(p3 - mmn[i][0]) + abs(p3 - mmn[z][1]) + dp[z][1]
    num4 = abs(p4 - mmn[i][0]) + abs(p4 - mmn[z][1]) + dp[z][1]
    dp[i][1] = min(min(num1, num2), min(num3, num4)) + mmn[i][1] - mmn[i][0]
    z = i
print(min(dp[-1]) + maxn)
```

### 123

```python
n, m, k, q = map(int, input().split())
tr_min = [None for _ in range(n)]
tr_max = [None for _ in range(n)]
for _ in range(k):
    row, col = map(int, input().split())
    row = n - row
    col -= 1
    if tr_min[row] == None or col < tr_min[row]:
        tr_min[row] = col
    if tr_max[row] == None or col > tr_max[row]:
        tr_max[row] = col
tr_min[-1] = 0
tr_max[-1] = tr_max[-1] or 0
savecols = sorted(map(lambda t: int(t) - 1, input().split()))

def binsearch(arr, val):
    l, r = (0, len(arr) - 1)
    while l <= r:
        mid = l + (r - l) // 2
        if arr[mid] > val:
            l = mid + 1
        elif arr[mid] > val:
            r = mid - 1
        else:
            return mid
    return r

def find_short_descent(A, B):
    if A > B:
        return find_short_descent(B, A)
    idx1 = binsearch(savecols, A)
    idx2 = idx1 + 1
    minval = m * m
    if idx2 < len(savecols):
        if savecols[idx2] < B:
            return B - A
        else:
            minval = min(minval, (savecols[idx2] << 1) - A - B)
    if idx1 >= 0:
        minval = min(minval, A + B - (savecols[idx1] << 1))
    return minval
l, r = (0, 0)
found_valid = False
last_valid = None
for row in range(0, n):
    if found_valid == False:
        if tr_min[row] != None:
            found_valid = True
            last_valid = row
            l = tr_max[row] - tr_min[row]
            r = tr_max[row] - tr_min[row]
            continue
        continue
    if tr_min[row] == None:
        l += 1
        r += 1
        continue
    ll = find_short_descent(tr_min[last_valid], tr_min[row])
    lr = find_short_descent(tr_min[last_valid], tr_max[row])
    rl = find_short_descent(tr_max[last_valid], tr_min[row])
    rr = find_short_descent(tr_max[last_valid], tr_max[row])
    new_l = min(l + lr, r + rr) + 1 + (tr_max[row] - tr_min[row])
    new_r = min(l + ll, r + rl) + 1 + (tr_max[row] - tr_min[row])
    l, r = (new_l, new_r)
    last_valid = row
answ = l + tr_min[last_valid]
print(answ)
```

### 124

```python
n = input()
n = int(n)
p = []
substring_maxlen = 0
str_info = []
_temper = ['abba', 'a']
for i in range(n):
    string = input()
    str_info.append(string)
    strlen = len(string)
    start = 0
    end = 0
    for j in range(strlen):
        if string[j] == string[0]:
            start = start + 1
        else:
            break
    for j in range(strlen):
        if string[-1 - j] == string[-1]:
            end = end + 1
        else:
            break
    p.append((string[0], start, string[-1], end, True if strlen == start else False))
_max_len = 0
parse = 0
_temp_max = 0
string = str_info[-1]
token = string[0]
while parse < len(string):
    token = string[parse]
    _temp_max = 0
    for k in range(parse, len(string)):
        if string[k] == token:
            parse = parse + 1
            _temp_max = _temp_max + 1
        else:
            break
    if substring_maxlen < _temp_max:
        substring_maxlen = _temp_max
start_token = []
end_token = []
start_token, start_num, end_token, end_num, connected = p[-1]
level = 0
for i in range(1, len(p)):
    if not connected:
        break
    else:
        _string = str_info[-i - 1]
        _max_len = 0
        parse = 0
        _temp_max = 0
        token = _string[0]
        _substring_maxlen = 0
        while parse < len(_string):
            token = _string[parse]
            if token != start_token:
                parse = parse + 1
                continue
            _temp_max = 0
            for k in range(parse, len(_string)):
                if _string[k] == token:
                    parse = parse + 1
                    _temp_max = _temp_max + 1
                else:
                    break
            if _substring_maxlen < _temp_max:
                _substring_maxlen = _temp_max
        substring_maxlen = max(substring_maxlen, start_num * (_substring_maxlen + 1) + _substring_maxlen)
        _start_token, _start_num, _end_token, _end_num, _connected = p[-1 - i]
        if _start_token == start_token:
            start_num = start_num * (_start_num + 1) + _start_num
        if _end_token == end_token:
            end_num = end_num * (_end_num + 1) + _end_num
        if not _connected or _start_token != start_token:
            connected = False
        level = i
end_cond = 0
if start_num > end_num:
    end_cond = 1
elif start_num < end_num:
    end_cond = 2
the_End = False
answer = max(start_num, end_num) + 1
for i in range(len(p) - level - 1 + 1):
    for s in str_info[i]:
        if start_token == s:
            if end_cond < 2:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
        if end_token == s:
            if end_cond % 2 == 0:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
    if the_End:
        break
else:
    answer = answer - 1
if len(p) == 1:
    answer = answer - 1
print(max(answer, substring_maxlen))
```

### 125

```python
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)
```

### 126

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

### 127

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

### 128

```python
def read(type=1):
    if type:
        file = open('input.dat', 'r')
        n = int(file.readline())
        a = list(map(int, file.readline().split()))
        b = file.readline()
        file.close()
    else:
        n = int(input().strip())
        a = list(map(int, input().strip().split()))
        b = input().strip()
    return (n, a, b)

def solve():
    sol = 0
    e = 0
    big = 0
    g = 0
    for i in range(n):
        if b[i] == 'W':
            big = 1
            sol += 3 * a[i]
            e += a[i]
        if b[i] == 'G':
            sol += 5 * a[i]
            e += a[i]
            g += 2 * a[i]
        if b[i] == 'L':
            sol += a[i]
            e -= a[i]
            if e > 0:
                if big:
                    sol -= 3 * e
                else:
                    sol -= 5 * e
                e = 0
        g = min(g, e)
    if e:
        sol -= 2 * g
        sol -= e - g
    return int(sol)
n, a, b = read(0)
sol = solve()
print(sol)
```

### 129

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

### 130

```python
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]

def ans(time, x, y):
    ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
    x0, y0, m0 = WX[i - 1]
    x1, y1, m1 = WX[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
    x0, y0, m0 = WY[i - 1 + 1]
    x1, y1, m1 = WY[i]
    EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
    EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
    time, town = heapq.heappop(Q)
    if time > TIME[town]:
        continue
    ans(time, W[town][0], W[town][1])
    for to, cost in EDGE[town]:
        if TIME[to] > TIME[town] + cost:
            TIME[to] = TIME[town] + cost
            heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
```

### 131

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

### 132

```python
import math
n, m, k, q = list(map(int, input().split()))
right = [-1] * n
left = [-1] * n
for i in range(k):
    row, col = list(map(int, input().split()))
    row -= 1
    col -= 1
    if right[row] == -1:
        right[row] = left[row] = col
    else:
        right[row] = max(right[row], col)
        left[row] = min(left[row], col)
safe = sorted(list([int(qi) - 1 for qi in input().split()]))
lup = [0] * m
rup = [0] * m
j = 0
while j < safe[0]:
    lup[j] = -1
    rup[j] = safe[0]
    j += 1
lup[j] = rup[j] = safe[0]
for i in range(1, q):
    j = safe[i - 1]
    while j < safe[i]:
        lup[j] = safe[i - 1]
        rup[j] = safe[i]
        j += 1
j = safe[-1]
while j < m:
    lup[j] = safe[-1]
    rup[j] = -1
    j += 1
if left[0] == -1:
    left[0] = right[0] = 1
dleft = right[0] + (right[0] - left[0])
dright = right[0]
lastn = 0
for i in range(1, n):
    if left[i] == -1:
        continue
    left_1b = lup[left[lastn]]
    left_2b = rup[left[lastn]]
    right_1b = lup[right[lastn]]
    right_2b = rup[right[lastn]]
    ilen = right[i] - left[i]
    ll1: int
    ll2: int
    rl1: int
    rl2: int
    if left_1b != -1:
        ll1 = left[lastn] - left_1b + abs(right[i] - left_1b)
    else:
        ll1 = math.inf
    if left_2b != -1:
        ll2 = left_2b - left[lastn] + abs(right[i] - left_2b)
    else:
        ll2 = math.inf
    if right_1b != -1:
        rl1 = right[lastn] - right_1b + abs(right[i] - right_1b)
    else:
        rl1 = math.inf
    if right_2b != -1:
        rl2 = right_2b - right[lastn] + abs(right[i] - right_2b)
    else:
        rl2 = math.inf
    dleft_new = min(dleft + min(ll1, ll2), dright + min(rl1, rl2)) + ilen
    lr1: int
    lr2: int
    rr1: int
    rr2: int
    if left_1b != -1:
        lr1 = left[lastn] - left_1b + abs(left[i] - left_1b)
    else:
        lr1 = math.inf
    if left_2b != -1:
        lr2 = left_2b - left[lastn] + abs(left[i] - left_2b)
    else:
        lr2 = math.inf
    if right_1b != -1:
        rr1 = right[lastn] - right_1b + abs(left[i] - right_1b)
    else:
        rr1 = math.inf
    if right_2b != -1:
        rr2 = right_2b - right[lastn] + abs(left[i] - right_2b)
    else:
        rr2 = math.inf
    dright_new = min(dleft + min(lr1, lr2), dright + min(rr1, rr2)) + ilen
    dleft, dright = (dleft_new, dright_new)
    lastn = i
print(min(dleft, dright) + lastn)
```

### 133

```python
def main():
    n = int(input())
    A = list(map(int, input().split()))
    B = list(map(int, input().split()))
    roundup = []
    rounddown = []
    sumsofar = []
    for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
        ssf = sumsofar[-1] if sumsofar else 0
        t = roundup[-1] if roundup else 0
        roundup.append(t + ssf + b * (1 + 2 * i))
        t = rounddown[-1] if rounddown else 0
        rounddown.append(t + ssf + a * (1 + 2 * i))
        sumsofar.append(ssf + a + b)
    roundup = list(reversed(roundup))
    rounddown = list(reversed(rounddown))
    sumsofar = list(reversed(sumsofar))
    bestres = 0
    sofar = 0
    for i, (a, b) in enumerate(zip(A, B)):
        rup, rdo = (roundup, rounddown)
        if i % 2:
            a, b = (b, a)
            rup, rdo = (rdo, rup)
        bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
        sofar += a * 2 * i
        sofar += b * (2 * i + -1)
        bestres = max(bestres, sofar)
    print(bestres)

def __starting_point():
    main()
__starting_point()
```

### 134

```python
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)
```

### 135

```python
import sys
input = sys.stdin.readline
import heapq

def dijkstra(n, s, edges):
    hq = [(0, s)]
    cost = [float('inf')] * n
    cost[s] = 0
    while hq:
        c, v = heapq.heappop(hq)
        if c > cost[v]:
            continue
        for d, u in edges[v]:
            tmp = d + cost[v]
            if tmp < cost[u]:
                cost[u] = tmp
                heapq.heappush(hq, (tmp, u))
    return cost[1]

def main():
    n, m = map(int, input().split())
    sx, sy, fx, fy = map(int, input().split())
    xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
    edges = [[] for _ in range(m + 2)]
    xy.sort(key=lambda x: x[0])
    for i in range(m - 1):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    xy.sort(key=lambda x: x[1])
    for i in range(m - 1):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    for x, y, i in xy:
        d1 = min(abs(x - sx), abs(y - sy))
        d2 = abs(x - sx) + abs(y - sy)
        edges[0].append((d1, i))
        edges[i].append((d2, 0))
        d1 = min(abs(x - fx), abs(y - fy))
        d2 = abs(x - fx) + abs(y - fy)
        edges[1].append((d1, i))
        edges[i].append((d2, 1))
    d = abs(sx - fx) * abs(sy - fy)
    edges[0].append((d, 1))
    edges[1].append((d, 0))
    ans = dijkstra(m + 2, 0, edges)
    print(ans)
main()
```

### 136

```python
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path

def console(*args):
    pass
if path.exists('input.txt'):
    sys.stdin = open('input.txt', 'r')
    sys.stdout = open('output.txt', 'w')

    def console(*args):
        pass
inp = sys.stdin.readlines()

def solve(*args):
    console('----- solving ------')
    console(*args)
    console('----- ------- ------')
    return solve_(*args)

def solve_(grid, sx, sy, ex, ey):
    console('----- solving ------')
    minres = abs(sx - ex) + abs(sy - ey)
    console(minres)
    if grid == []:
        return minres
    d = defaultdict(list)
    grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
    grid = sorted(grid, key=lambda x: x[1])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
        d[i1].append((i2, x2 - x1))
        d[i2].append((i1, x2 - x1))
    grid = sorted(grid, key=lambda x: x[2])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[-1:]):
        d[i1].append((i2, y2 - y1))
        d[i2].append((i1, y2 - y1))
    for i, x, y in grid:
        d[-2].append((i, abs(x - sx)))
        d[-2].append((i, abs(y - sy)))
        d[i].append((-1, abs(x - ex) + abs(y - ey)))
    d[-1] = []
    console(list(d.keys()))
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    return min(minres, dijkstra_with_preprocessing(d, -2, -1))

def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
    d = map_from_node_to_nodes_and_costs
    if target not in d:
        d[-1] = []
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    _, costs = dijkstra(G, idxs[source])
    return costs[idxs[target]]

def dijkstra(G, s):
    n = len(G)
    visited = [False] * n
    weights = [math.inf] * n
    path = [None] * n
    queue = []
    weights[s] = 0
    hq.heappush(queue, (0, s))
    while len(queue) > 0:
        g, u = hq.heappop(queue)
        visited[u] = True
        for v, w in G[u]:
            if not visited[v]:
                f = g + w
                if f < weights[v]:
                    weights[v] = f
                    path[v] = u
                    hq.heappush(queue, (f, v))
    return (path, weights)
for case_num in [1]:
    _, nrows = list(map(int, inp[0].split()))
    sx, sy, ex, ey = list(map(int, inp[1].split()))
    grid = []
    for z in range(nrows):
        grid.append(list(map(int, inp[z + 2].split())))
    res = solve(grid, sx, sy, ex, ey)
    print(res)
```

### 137

```python
n = int(input())

def get_longest(s):
    prev_c = -1
    curr_len = 0
    longest = [-3] * 26
    for c in s:
        if c != prev_c:
            curr_len = 1
            prev_c = c
        else:
            curr_len += 1
        longest[c] = max(longest[c], curr_len)
    return longest

def get_prefix(s):
    prev_c = s[0]
    curr_len = 0
    for c in s:
        if c == prev_c:
            curr_len += 1
        else:
            return (prev_c, curr_len)
    return (prev_c, curr_len)

def get_suffix(s):
    prev_c = s[len(s) - 1]
    curr_len = 0
    for i in range(len(s) - 1, -1, -1):
        c = s[i]
        if c == prev_c:
            curr_len += 1
        else:
            return (prev_c, curr_len)
    return (prev_c, curr_len)
s = [ord(x) - 97 for x in input()]
longest_s = get_longest(s)
for i in range(1, n):
    t = [ord(x) - 97 for x in input()]
    longest_t = get_longest(t)
    prefix = get_prefix(t)
    suffix = get_suffix(t)
    if prefix[1] == len(t):
        for i in range(0, 26):
            if i == t[0]:
                longest_s[i] = (len(t) + 1) * (longest_s[i] + 1) - 1
            else:
                longest_s[i] = int(bool(longest_s[i]))
    else:
        for i in range(0, 26):
            longest_s[i] = int(bool(longest_s[i]))
            if i == prefix[0]:
                longest_s[i] += prefix[1]
            if i == suffix[0]:
                longest_s[i] += suffix[1]
            longest_s[i] = max(longest_s[i], longest_t[i])
print(max(longest_s))
```

### 138

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

### 139

```python
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10

def dijkstra(N, G, s):
    dist = [INF] * N
    que = [(0, s)]
    dist[s] = 0
    while que:
        c, v = heappop(que)
        if dist[v] < c:
            continue
        for t, cost in G[v]:
            if dist[v] + cost < dist[t]:
                dist[t] = dist[v] + cost
                heappush(que, (dist[t], t))
    return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
    x, y = list(map(int, input().split()))
    g[0].add((i + 2, max(abs(x - sx), abs(y - sy))))
    g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
    vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(x - bx, abs(y - by))
    g[i].add((b, c))
    g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
    c = min(abs(x - bx), y - by)
    g[i].add((b, c))
    g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) + abs(fx - sx)))
```

### 140

```python
import math
n, m, k, q = list(map(int, input().split()))
right = [-1] * n
left = [-1] * n
for i in range(k):
    row, col = list(map(int, input().split()))
    row -= 1
    col -= 1
    if right[row] == -1:
        right[row] = left[row] = col
    else:
        right[row] = max(right[row], col)
        left[row] = min(left[row], col)
safe = sorted(list([int(qi) - 1 for qi in input().split()]))
lup = [0] * m
rup = [0] * m
j = 0
while j < safe[0]:
    lup[j] = -1
    rup[j] = safe[0]
    j += 1
lup[j] = rup[j] = safe[0]
for i in range(1, q):
    j = safe[i - 1]
    while j < safe[i]:
        lup[j] = safe[i - 1]
        rup[j] = safe[i]
        j += 1
j = safe[-1]
while j < m:
    lup[j] = safe[-1]
    rup[j] = -1
    j += 1
if left[0] == -1:
    left[0] = right[0] = 0
dleft = right[0] + (right[0] - left[0])
dright = right[0]
lastn = 0
for i in range(1, n):
    if left[i] == -1:
        continue
    left_1b = lup[left[lastn]]
    left_2b = rup[left[lastn]]
    right_1b = lup[right[lastn]]
    right_2b = rup[right[lastn]]
    ilen = right[i] - left[i]
    ll1: int
    ll2: int
    rl1: int
    rl2: int
    if left_1b != -1:
        ll1 = left[lastn] - left_1b + abs(right[i] - left_1b)
    else:
        ll1 = math.inf
    if left_2b != -1:
        ll2 = left_2b - left[lastn] + abs(right[i] - left_2b)
    else:
        ll2 = math.inf
    if right_1b != -1:
        rl1 = right[lastn] - right_1b + abs(right[i] - right_1b)
    else:
        rl1 = math.inf
    if right_2b != -1:
        rl2 = right_2b - right[lastn] + abs(right[i] - right_2b)
    else:
        rl2 = math.inf
    dleft_new = min(dleft + min(ll1, ll2), dright + min(rl1, rl2)) + ilen
    lr1: int
    lr2: int
    rr1: int
    rr2: int
    if left_1b != -1:
        lr1 = left[lastn] - left_1b + abs(left[i] - left_1b)
    else:
        lr1 = math.inf
    if not left_2b != -1:
        lr2 = left_2b - left[lastn] + abs(left[i] - left_2b)
    else:
        lr2 = math.inf
    if right_1b != -1:
        rr1 = right[lastn] - right_1b + abs(left[i] - right_1b)
    else:
        rr1 = math.inf
    if right_2b != -1:
        rr2 = right_2b - right[lastn] + abs(left[i] - right_2b)
    else:
        rr2 = math.inf
    dright_new = min(dleft + min(lr1, lr2), dright + min(rr1, rr2)) + ilen
    dleft, dright = (dleft_new, dright_new)
    lastn = i
print(min(dleft, dright) + lastn)
```

### 141

```python
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
    sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
    for i in range(2):
        sum_up[i][n - 1 - 1] = a[i][n - 1]
        pref_up[i][n - 1] = a[i][n - 1]
        pref_down[i][n - 1] = a[i][n - 1]
        for j in range(n - 2, -1, -1):
            sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
            pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
            pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
    zig = [[0 for i in range(n)] for j in range(2)]
    for j in range(n):
        for i in range(2):
            if j % 2 == 0:
                if i == 0:
                    zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
                else:
                    zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
            elif i == 0:
                zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
            else:
                zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
    ans = -1e+18
    for j in range(n):
        if j == 0:
            ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
        elif j == n - 1:
            ans = max(ans, zig[1 - j % 2][n - 1])
        elif j % 2 == 1:
            ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
        else:
            ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
    ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
    print(ans)
else:
    print(a[1][0])
```

### 142

```python
n, m, k, q = map(int, input().split())
tr_min = [None for _ in range(n)]
tr_max = [None for _ in range(n)]
for _ in range(k):
    row, col = map(int, input().split())
    row = n - row
    col -= 1
    if tr_min[row] == None or col < tr_min[row]:
        tr_min[row] = col
    if tr_max[row] == None or col > tr_max[row]:
        tr_max[row] = col
tr_min[-1] = 0
tr_max[-1] = tr_max[-1] or 0
savecols = sorted(map(lambda t: int(t) - 1, input().split()))

def binsearch(arr, val):
    l, r = (0, len(arr) - 1)
    while l < r:
        mid = l + (r - l) // 2
        if arr[mid] < val:
            l = mid + 1
        elif arr[mid] > val:
            r = mid - 1
        else:
            return mid
    return r

def find_short_descent(A, B):
    if A > B:
        return find_short_descent(B, A)
    idx1 = binsearch(savecols, A)
    idx2 = idx1 + 1
    minval = m * m
    if idx2 < len(savecols):
        if savecols[idx2] < B:
            return B - A
        else:
            minval = min(minval, (savecols[idx2] << 1) - A - B)
    if idx1 >= 0:
        minval = min(minval, A + B - (savecols[idx1] << 1))
    return minval
l, r = (0, 0)
found_valid = False
last_valid = None
for row in range(0, n):
    if found_valid == False:
        if tr_min[row] != None:
            found_valid = True
            last_valid = row
            l = tr_max[row] - tr_min[row]
            r = tr_max[row] - tr_min[row]
            continue
        continue
    if tr_min[row] == None:
        l += 1
        r += 1
        continue
    ll = find_short_descent(tr_min[last_valid], tr_min[row])
    lr = find_short_descent(tr_min[last_valid], tr_max[row])
    rl = find_short_descent(tr_max[last_valid], tr_min[row])
    rr = find_short_descent(tr_max[last_valid], tr_max[row])
    new_l = min(l + lr, r + rr) + 1 + (tr_max[row] - tr_min[row])
    new_r = min(l + ll, r + rl) + 1 + (tr_max[row] - tr_min[row])
    l, r = (new_l, new_r)
    last_valid = row
answ = l + tr_min[last_valid]
print(answ)
```

### 143

```python
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
    sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
    for i in range(2):
        sum_up[i][n - 1] = a[i][n - 1 - 1]
        pref_up[i][n - 1] = a[i][n - 1]
        pref_down[i][n - 1] = a[i][n - 1]
        for j in range(n - 2, -1, -1):
            sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
            pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
            pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
    zig = [[0 for i in range(n)] for j in range(2)]
    for j in range(n):
        for i in range(2):
            if j % 2 == 0:
                if i == 0:
                    zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
                else:
                    zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
            elif i == 0:
                zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
            else:
                zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
    ans = -1e+18
    for j in range(n):
        if j == 0:
            ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
        elif j == n - 1:
            ans = max(ans, zig[1 - j % 2][n - 1])
        elif j % 2 == 1:
            ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
        else:
            ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
    ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
    print(ans)
else:
    print(a[1][0])
```

### 144

```python
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
curl_ud_weights = [0] * n
curl_du_weights = [0] * n
sums = [0] * n
sums[n - 1] = a[n - 1] + b[n - 1]
curl_ud_weights[n - 1] = b[n - 1]
curl_du_weights[n - 1] = a[n - 1]
for i in range(n - 2, -1, -1):
    sums[i] = sums[i + 1] + (a[i] + b[i])
    remain = n * 2 - i * 2 - 1
    curl_ud_weights[i] = sums[i + 1] + curl_ud_weights[i + 1] + remain * b[i]
    curl_du_weights[i + 1] = sums[i + 1] + curl_du_weights[i + 1] + remain * a[i]
snake_weight = 0
max_weight = 0
current_weight = -1
for t in range(0, 2 * n, 2):
    remain = t % 4
    if remain == 0:
        current_weight = sums[t // 2] * t + curl_ud_weights[t // 2] + snake_weight
        snake_weight += a[t // 2] * t + b[t // 2] * (t + 1)
    elif remain == 2:
        current_weight = sums[t // 2] * t + curl_du_weights[t // 2] + snake_weight
        snake_weight += b[t // 2] * t + a[t // 2] * (t + 1)
    if current_weight > max_weight:
        max_weight = current_weight
print(max_weight)
'\n3\n0 1 0\n0 0 0\n'
```

### 145

```python
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)
```

### 146

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

### 147

```python
n = int(input())

def get_longest(s):
    prev_c = -1
    curr_len = 0
    longest = [0] * 26
    for c in s:
        if c != prev_c:
            curr_len = 1
            prev_c = c
        else:
            curr_len += 1
        longest[c - 1] = max(longest[c], curr_len)
    return longest

def get_prefix(s):
    prev_c = s[0]
    curr_len = 0
    for c in s:
        if c == prev_c:
            curr_len += 1
        else:
            return (prev_c, curr_len)
    return (prev_c, curr_len)

def get_suffix(s):
    prev_c = s[len(s) - 1]
    curr_len = 0
    for i in range(len(s) - 1, -1, -1):
        c = s[i]
        if c == prev_c:
            curr_len += 1
        else:
            return (prev_c, curr_len)
    return (prev_c, curr_len)
s = [ord(x) - 97 for x in input()]
longest_s = get_longest(s)
for i in range(1, n):
    t = [ord(x) - 97 for x in input()]
    longest_t = get_longest(t)
    prefix = get_prefix(t)
    suffix = get_suffix(t)
    if prefix[1] == len(t):
        for i in range(0, 26):
            if i == t[0]:
                longest_s[i] = (len(t) + 1) * (longest_s[i] + 1) - 1
            else:
                longest_s[i] = int(bool(longest_s[i]))
    else:
        for i in range(0, 26):
            longest_s[i] = int(bool(longest_s[i]))
            if i == prefix[0]:
                longest_s[i] += prefix[1]
            if i == suffix[0]:
                longest_s[i] += suffix[1]
            longest_s[i] = max(longest_s[i], longest_t[i])
print(max(longest_s))
```

### 148

```python
def main(s):
    if len(s) == 0:
        return []
    if len(s) == 1:
        return [[s], [1]]
    s = s[::-1]
    sres = [s[0]]
    nres = [1]
    if s[0] == s[1]:
        sres.append('')
        nres.append(0)
    else:
        sres.append(s[1] + s[0])
        nres.append(2)
    for i in range(2, len(s)):
        st = s[i] + sres[-1]
        nt = nres[-1] + 1
        if nt > 11:
            st = st[:5] + '...' + st[-2:]
        if s[i] == s[i - 1] and st > sres[-1]:
            st = sres[-2]
            nt = nres[-2]
        sres.append(st)
        nres.append(nt)
    return [sres, nres]
s = input()
sres, nres = main(s)
for i in range(len(s) - 1, -1, -1):
    print(nres[i], sres[i])
```

### 149

```python
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
    if t == 'G':
        heappush(Q, (2, 2 * l))
        heappush(Q, (3, float('inf')))
    elif t == 'W':
        heappush(Q, (1, 2 * l))
        heappush(Q, (3, float('inf')))
    need_stamina = l
    while need_stamina > 0:
        cost, quantity = heappop(Q)
        if need_stamina > quantity:
            ans += quantity * cost
            need_stamina -= quantity
        else:
            ans += need_stamina * cost
            heappush(Q, (cost, quantity - need_stamina))
            need_stamina = 0
print(ans)
```

### 150

```python
n = input()
n = int(n)
p = []
substring_maxlen = 0
str_info = []
_temper = ['abba', 'a']
for i in range(n):
    string = input()
    str_info.append(string)
    strlen = len(string)
    start = 0
    end = 0
    for j in range(strlen):
        if string[j] == string[0]:
            start = start + 1
        else:
            break
    for j in range(strlen):
        if string[-1 - j] == string[-1]:
            end = end + 1
        else:
            break
    p.append((string[0], start, string[-1], end, True if strlen == start else False))
_max_len = 0
parse = 0
_temp_max = 0
string = str_info[-1]
token = string[0]
while parse < len(string):
    token = string[parse]
    _temp_max = 0
    for k in range(parse, len(string)):
        if string[k] == token:
            parse = parse + 1
            _temp_max = _temp_max + 1
        else:
            break
    if substring_maxlen < _temp_max:
        substring_maxlen = _temp_max
start_token = []
end_token = []
start_token, start_num, end_token, end_num, connected = p[-1]
level = 0
for i in range(-1, len(p)):
    if not connected:
        break
    else:
        _string = str_info[-i - 1]
        _max_len = 0
        parse = 0
        _temp_max = 0
        token = _string[0]
        _substring_maxlen = 0
        while parse < len(_string):
            token = _string[parse]
            if token != start_token:
                parse = parse + 1
                continue
            _temp_max = 0
            for k in range(parse, len(_string)):
                if _string[k] == token:
                    parse = parse + 1
                    _temp_max = _temp_max + 1
                else:
                    break
            if _substring_maxlen < _temp_max:
                _substring_maxlen = _temp_max
        substring_maxlen = max(substring_maxlen, start_num * (_substring_maxlen + 1) + _substring_maxlen)
        _start_token, _start_num, _end_token, _end_num, _connected = p[-1 - i]
        if _start_token == start_token:
            start_num = start_num * (_start_num + 1) + _start_num
        if _end_token == end_token:
            end_num = end_num * (_end_num + 1) + _end_num
        if not _connected or _start_token != start_token:
            connected = False
        level = i
end_cond = 0
if start_num > end_num:
    end_cond = 1
elif start_num < end_num:
    end_cond = 2
the_End = False
answer = max(start_num, end_num) + 1
for i in range(len(p) - level - 1):
    for s in str_info[i]:
        if start_token == s:
            if end_cond < 2:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
        if end_token == s:
            if end_cond % 2 == 0:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
    if the_End:
        break
else:
    answer = answer - 1
if len(p) == 1:
    answer = answer - 1
print(max(answer, substring_maxlen))
```

### 151

```python
from sys import stdin
from math import *
line = stdin.readline().rstrip().split()
n = int(line[0])
numbers = list(map(int, stdin.readline().rstrip().split()))
numbers2 = list(map(int, stdin.readline().rstrip().split()))
growRateAccum = 0
topAccum = 0
bottomAccum = 0
accumsB = [0] * n
accumsT = [0] * n
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
    accum += numbers[i] * ((n - i) * 2 - 1 - 1)
    growRateAccum += numbers[i]
    if i < n - 1:
        growRateAccum *= numbers2[i + 1]
    accum += growRateAccum
    accumsB[i] = accum
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
    accum += numbers2[i] * ((n - i) * 2 - 1 - 1)
    growRateAccum += numbers2[i]
    if i < n - 1:
        growRateAccum += numbers[i + 1]
    accum += growRateAccum
    accumsT[i] = accum
cMax = 0
currAccum = 0
growRateAccum = sum(numbers[1:]) + sum(numbers2[1:])
for i in range(n):
    if i % 2 == 0:
        cMax = max(cMax, currAccum + accumsT[i])
    else:
        cMax = max(cMax, currAccum + accumsB[i])
    if i < n - 1:
        if i % 2 == 0:
            currAccum += numbers2[i] + growRateAccum * 2
        else:
            currAccum += numbers[i] + growRateAccum * 2
        growRateAccum -= numbers[i + 1]
        growRateAccum -= numbers2[i + 1]
print(cMax)
```

### 152

```python
n, m, k, q = map(int, input().split())
tr_min = [None for _ in range(n)]
tr_max = [None for _ in range(n)]
for _ in range(k):
    row, col = map(int, input().split())
    row = n - row
    col -= 1
    if tr_min[row] == None or col < tr_min[row]:
        tr_min[row] = col
    if tr_max[row] == None or col > tr_max[row]:
        tr_max[row] = col
tr_min[-1] = 0
tr_max[-1] = tr_max[-1] or 0
savecols = sorted(map(lambda t: int(t) - 1, input().split()))

def binsearch(arr, val):
    l, r = (0, len(arr) - 1)
    while l <= r:
        mid = l + (r - l) // 2
        if arr[mid] < val:
            l = mid + 1
        elif arr[mid] > val:
            r = mid - 1
        else:
            return mid
    return r

def find_short_descent(A, B):
    if A > B:
        return find_short_descent(B, A)
    idx1 = binsearch(savecols, A)
    idx2 = idx1 + 0
    minval = m * m
    if idx2 < len(savecols):
        if savecols[idx2] < B:
            return B - A
        else:
            minval = min(minval, (savecols[idx2] << 1) - A - B)
    if idx1 >= 0:
        minval = min(minval, A + B - (savecols[idx1] << 1))
    return minval
l, r = (0, 0)
found_valid = False
last_valid = None
for row in range(0, n):
    if found_valid == False:
        if tr_min[row] != None:
            found_valid = True
            last_valid = row
            l = tr_max[row] - tr_min[row]
            r = tr_max[row] - tr_min[row]
            continue
        continue
    if tr_min[row] == None:
        l += 1
        r += 1
        continue
    ll = find_short_descent(tr_min[last_valid], tr_min[row])
    lr = find_short_descent(tr_min[last_valid], tr_max[row])
    rl = find_short_descent(tr_max[last_valid], tr_min[row])
    rr = find_short_descent(tr_max[last_valid], tr_max[row])
    new_l = min(l + lr, r + rr) + 1 + (tr_max[row] - tr_min[row])
    new_r = min(l + ll, r + rl) + 1 + (tr_max[row] - tr_min[row])
    l, r = (new_l, new_r)
    last_valid = row
answ = l + tr_min[last_valid]
print(answ)
```

### 153

```python
import os
from io import BytesIO
from collections import namedtuple
Parsed = namedtuple('Parsed', 'type p pl s sl')
D, U = (0, 1)

def parse(s):
    pc, sc = (0, 0)
    for c in s:
        if c != s[0]:
            break
        pc += 1
    for c in reversed(s):
        if c != s[-1 + 1]:
            break
        sc += 1
    if s[0] == s[-1] and pc == sc == len(s):
        tp = U
    else:
        tp = D
    return Parsed(tp, s[0], pc, s[-1], sc)

def max_conti_len(s, target):
    mx = 0
    cur = 0
    for c in s:
        if c == target:
            cur += 1
            mx = max(mx, cur)
        else:
            cur = 0
    return mx

def len_mul(nl, ol):
    return ol * nl + ol + nl

def solve(n, ss):
    s = ss.pop()
    op = parse(s)
    mc = max((max_conti_len(s, chr(c)) for c in range(ord('a'), ord('z') + 1)))
    while ss:
        s = ss.pop()
        np = parse(s)
        if np.type == U and op.type == U:
            if np.p == op.p:
                nl = len_mul(np.pl, op.pl)
                op = Parsed(U, op.p, nl, op.s, nl)
            else:
                op = Parsed(D, op.p, op.pl, op.s, op.sl)
            mc = max(mc, op.pl)
        elif np.type == D and op.type == U:
            npl = len_mul(np.pl, op.pl) if np.p == op.p else op.pl
            nsl = len_mul(np.sl, op.sl) if np.s == op.s else op.sl
            mx = max_conti_len(s, op.s)
            mc = max(mc, len_mul(mx, op.pl))
            op = Parsed(D, op.p, npl, op.s, nsl)
        elif op.type == D:
            if op.p == op.s:
                mp = op.pl + op.sl + 1 if op.p in s else op.pl
                ms = op.sl
            else:
                mp = op.pl + 1 if op.p in s else op.pl
                ms = op.sl + 1 if op.s in s else op.sl
            mc = max(mc, mp, ms)
    print(mc)

def solve_from_stdin():
    n = int(input())
    ss = []
    for _ in range(n):
        ss.append(input())
    solve(n, ss)
solve_from_stdin()
```

### 154

```python
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path

def console(*args):
    pass
if path.exists('input.txt'):
    sys.stdin = open('input.txt', 'r')
    sys.stdout = open('output.txt', 'w')

    def console(*args):
        pass
inp = sys.stdin.readlines()

def solve(*args):
    console('----- solving ------')
    console(*args)
    console('----- ------- ------')
    return solve_(*args)

def solve_(grid, sx, sy, ex, ey):
    console('----- solving ------')
    minres = abs(sx - ex) + abs(sy - ey)
    console(minres)
    if grid == []:
        return minres
    d = defaultdict(list)
    grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
    grid = sorted(grid, key=lambda x: x[1])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[3:]):
        d[i1].append((i2, x2 - x1))
        d[i2].append((i1, x2 - x1))
    grid = sorted(grid, key=lambda x: x[2])
    for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
        d[i1].append((i2, y2 - y1))
        d[i2].append((i1, y2 - y1))
    for i, x, y in grid:
        d[-2].append((i, abs(x - sx)))
        d[-2].append((i, abs(y - sy)))
        d[i].append((-1, abs(x - ex) + abs(y - ey)))
    d[-1] = []
    console(list(d.keys()))
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    return min(minres, dijkstra_with_preprocessing(d, -2, -1))

def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
    d = map_from_node_to_nodes_and_costs
    if target not in d:
        d[-1] = []
    idxs = {k: i for i, k in enumerate(d.keys())}
    G = [[] for _ in range(len(idxs))]
    for e, vrr in list(d.items()):
        for v, cost in vrr:
            G[idxs[e]].append((idxs[v], cost))
    _, costs = dijkstra(G, idxs[source])
    return costs[idxs[target]]

def dijkstra(G, s):
    n = len(G)
    visited = [False] * n
    weights = [math.inf] * n
    path = [None] * n
    queue = []
    weights[s] = 0
    hq.heappush(queue, (0, s))
    while len(queue) > 0:
        g, u = hq.heappop(queue)
        visited[u] = True
        for v, w in G[u]:
            if not visited[v]:
                f = g + w
                if f < weights[v]:
                    weights[v] = f
                    path[v] = u
                    hq.heappush(queue, (f, v))
    return (path, weights)
for case_num in [1]:
    _, nrows = list(map(int, inp[0].split()))
    sx, sy, ex, ey = list(map(int, inp[1].split()))
    grid = []
    for z in range(nrows):
        grid.append(list(map(int, inp[z + 2].split())))
    res = solve(grid, sx, sy, ex, ey)
    print(res)
```

### 155

```python
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
    sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
    for i in range(2):
        sum_up[i][n - 1] = a[i][n - 1]
        pref_up[i][n - 1] = a[i][n - 1]
        pref_down[i][n - 1 - 1] = a[i][n - 1]
        for j in range(n - 2, -1, -1):
            sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
            pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
            pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
    zig = [[0 for i in range(n)] for j in range(2)]
    for j in range(n):
        for i in range(2):
            if j % 2 == 0:
                if i == 0:
                    zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
                else:
                    zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
            elif i == 0:
                zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
            else:
                zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
    ans = -1e+18
    for j in range(n):
        if j == 0:
            ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
        elif j == n - 1:
            ans = max(ans, zig[1 - j % 2][n - 1])
        elif j % 2 == 1:
            ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
        else:
            ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
    ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
    print(ans)
else:
    print(a[1][0])
```

### 156

```python
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
    b, c, q = input().split()
    b = int(b)
    c = int(c)
    if q == 'C':
        f.append((b, c, 1))
        if coin[c][0][0] < b:
            coin[c][1] = coin[c][0]
            coin[c][0] = (b, i)
        elif coin[c][1][0] < b:
            coin[c][1] = (b, i)
    else:
        f.append((b, c, 2))
        if diam[c][0][0] < b:
            diam[c][1] = diam[c][0]
            diam[c][0] = (b, i)
        elif diam[c][1][0] < b:
            diam[c][1] = (b, i)
for i in range(2, 100001):
    if coin[i][0][0] < coin[i - 1][0][0]:
        coin[i][1] = max(coin[i][0], coin[i - 1][1])
        coin[i][0] = coin[i - 1][0]
    else:
        coin[i][1] = max(coin[i - 1][1], coin[i][1])
    if diam[i][0][0] < diam[i - 1][0][0]:
        diam[i][1] = max(diam[i][0], diam[i - 1][1])
        diam[i][0] = diam[i - 1][0]
    else:
        diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
    fnt = f[i]
    if fnt[2] == 1:
        if t >= fnt[1]:
            s = t - fnt[1]
            if coin[s][0][0] > 0 and coin[s][0][1] != i:
                ans = max(fnt[0] + coin[s][0][0], ans)
                p = True
            elif coin[s][1][0] > 0:
                ans = max(fnt[0] + coin[s][1][0], ans)
                p = True
            if diam[d][0][0] > 0:
                ans = max(fnt[0] + diam[d][0][0], ans)
                p = True
    elif d >= fnt[1]:
        s = d - fnt[1]
        if diam[s][0][0] > 0 and diam[s][0][1] != i:
            ans = max(fnt[0] + diam[s][0][0], ans)
            p = True
        elif diam[s][1][0] > 0:
            ans = max(fnt[0] + diam[s][1][0], ans)
            p = True
        if coin[t][0][0] > 0:
            ans = max(fnt[0] + coin[t][0][0], ans)
            p = True
if p:
    print(ans)
else:
    print(1)
```

### 157

```python
n = int(input())

def get_longest(s):
    prev_c = -1
    curr_len = 0
    longest = [0] * 26
    for c in s:
        if c != prev_c:
            curr_len = 1
            prev_c = c
        else:
            curr_len += 1
        longest[c] = max(longest[c], curr_len)
    return longest

def get_prefix(s):
    prev_c = s[0]
    curr_len = 0
    for c in s:
        if c == prev_c:
            curr_len += 1
        else:
            return (prev_c, curr_len)
    return (prev_c, curr_len)

def get_suffix(s):
    prev_c = s[len(s) - 1]
    curr_len = 0
    for i in range(len(s) - 1, -1, -1):
        c = s[i - 1]
        if c == prev_c:
            curr_len += 1
        else:
            return (prev_c, curr_len)
    return (prev_c, curr_len)
s = [ord(x) - 97 for x in input()]
longest_s = get_longest(s)
for i in range(1, n):
    t = [ord(x) - 97 for x in input()]
    longest_t = get_longest(t)
    prefix = get_prefix(t)
    suffix = get_suffix(t)
    if prefix[1] == len(t):
        for i in range(0, 26):
            if i == t[0]:
                longest_s[i] = (len(t) + 1) * (longest_s[i] + 1) - 1
            else:
                longest_s[i] = int(bool(longest_s[i]))
    else:
        for i in range(0, 26):
            longest_s[i] = int(bool(longest_s[i]))
            if i == prefix[0]:
                longest_s[i] += prefix[1]
            if i == suffix[0]:
                longest_s[i] += suffix[1]
            longest_s[i] = max(longest_s[i], longest_t[i])
print(max(longest_s))
```

### 158

```python
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
    if s[i] == 'G':
        dist = l[i]
        if water >= dist:
            water -= dist
            time += -2 * dist
            cgrass += dist
        else:
            dist -= water
            time += 2 * water
            cgrass += water
            water = 0
            time += 3 * dist
            grass += dist
    elif s[i] == 'W':
        water += l[i]
        time += 2 * l[i]
        seen = True
    else:
        dist = l[i]
        if water >= dist:
            water -= dist
            time += 2 * dist
        else:
            dist -= water
            time += 2 * water
            water = 0
            if cgrass >= dist:
                cgrass -= dist
                grass += dist
                time += 3 * dist
            else:
                dist -= cgrass
                grass += cgrass
                time += 3 * cgrass
                cgrass = 0
                if grass >= dist:
                    grass -= dist
                    time += 3 * dist
                else:
                    dist -= grass
                    time += 3 * grass
                    grass = 0
                    if seen:
                        time += 4 * dist
                    else:
                        time += 6 * dist
print(time)
```

### 159

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

### 160

```python
import sys
z = sys.stdin.readline
s = z().strip()
l = len(s)
b = [' ']
o = []
m = [' ']
for i in range(l):
    c = s[-1 - i]
    if c == b[-1]:
        if c > m[-1].lower() or (c == m[-1].lower() and c > m[-2].lower()):
            b.pop()
            if b[-1].lower() != m[-1].lower():
                m.pop()
            b[-1] = b[-1].upper()
            m[-1] = m[-1].upper()
        else:
            b += [c]
    else:
        b += [c]
        if b[--1] != m[-1].lower():
            m += [b[-1]]
    if len(b) > 11:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[:-6:-1]) + '...' + b[2] + b[1]).lower()]
    elif len(b) > 1:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[-1::-1])).lower()]
    else:
        o.append('0')
print('\n'.join(o[::-1]))
```

### 161

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

### 162

```python
import math
n, m, k, q = list(map(int, input().split()))
right = [-1] * n
left = [-1] * n
for i in range(k):
    row, col = list(map(int, input().split()))
    row -= 1
    col -= 1
    if right[row] == -1:
        right[row] = left[row] = col
    else:
        right[row] = max(right[row], col)
        left[row] = min(left[row], col)
safe = sorted(list([int(qi) - 1 for qi in input().split()]))
lup = [0] * m
rup = [0] * m
j = 0
while j < safe[0]:
    lup[j] = -1
    rup[j] = safe[0]
    j += 1
lup[j] = rup[j] = safe[0]
for i in range(1, q):
    j = safe[i - 1]
    while j < safe[i]:
        lup[j] = safe[i - 1]
        rup[j] = safe[i]
        j += 1
j = safe[-1]
while j < m:
    lup[j] = safe[-1]
    rup[j] = -1
    j += 1
if left[0] == -1:
    left[0] = right[0] = 0
dleft = right[0] + (right[0] - left[0])
dright = right[0]
lastn = 0
for i in range(1, n):
    if left[i] == -1:
        continue
    left_1b = lup[left[lastn]]
    left_2b = rup[left[lastn]]
    right_1b = lup[right[lastn]]
    right_2b = rup[right[lastn]]
    ilen = right[i] - left[i]
    ll1: int
    ll2: int
    rl1: int
    rl2: int
    if left_1b != -1:
        ll1 = left[lastn] - left_1b + abs(right[i] - left_1b)
    else:
        ll1 = math.inf
    if left_2b != -1:
        ll2 = left_2b - left[lastn] + abs(right[i] - left_2b)
    else:
        ll2 = math.inf
    if right_1b != -1:
        rl1 = right[lastn] - right_1b + abs(right[i] - right_1b)
    else:
        rl1 = math.inf
    if right_2b != -1:
        rl2 = right_2b - right[lastn] + abs(right[i] - right_2b)
    else:
        rl2 = math.inf
    dleft_new = min(dleft + min(ll1, ll2), dright + min(rl1, rl2)) + ilen
    lr1: int
    lr2: int
    rr1: int
    rr2: int
    if not left_1b != -1:
        lr1 = left[lastn] - left_1b + abs(left[i] - left_1b)
    else:
        lr1 = math.inf
    if left_2b != -1:
        lr2 = left_2b - left[lastn] + abs(left[i] - left_2b)
    else:
        lr2 = math.inf
    if right_1b != -1:
        rr1 = right[lastn] - right_1b + abs(left[i] - right_1b)
    else:
        rr1 = math.inf
    if right_2b != -1:
        rr2 = right_2b - right[lastn] + abs(left[i] - right_2b)
    else:
        rr2 = math.inf
    dright_new = min(dleft + min(lr1, lr2), dright + min(rr1, rr2)) + ilen
    dleft, dright = (dleft_new, dright_new)
    lastn = i
print(min(dleft, dright) + lastn)
```

### 163

```python
n = input()
n = int(n)
p = []
substring_maxlen = 0
str_info = []
_temper = ['abba', 'a']
for i in range(n):
    string = input()
    str_info.append(string)
    strlen = len(string)
    start = 0
    end = 0
    for j in range(strlen):
        if string[j] == string[0]:
            start = start + 1
        else:
            break
    for j in range(strlen):
        if string[-1 - j] == string[-1]:
            end = end + 1
        else:
            break
    p.append((string[0], start, string[-1], end, True if strlen == start else False))
_max_len = 0
parse = 0
_temp_max = 0
string = str_info[-1]
token = string[0]
while parse < len(string):
    token = string[parse]
    _temp_max = 0
    for k in range(parse, len(string)):
        if string[k] == token:
            parse = parse + 1
            _temp_max = _temp_max + 1
        else:
            break
    if substring_maxlen < _temp_max:
        substring_maxlen = _temp_max
start_token = []
end_token = []
start_token, start_num, end_token, end_num, connected = p[-1]
level = 0
for i in range(1, len(p)):
    if not connected:
        break
    else:
        _string = str_info[-i - 1]
        _max_len = 0
        parse = 0
        _temp_max = 0
        token = _string[0]
        _substring_maxlen = 0
        while parse < len(_string):
            token = _string[parse]
            if token != start_token:
                parse = parse + 1
                continue
            _temp_max = 0
            for k in range(parse, len(_string)):
                if _string[k] == token:
                    parse = parse + 1
                    _temp_max = _temp_max + 1
                else:
                    break
            if _substring_maxlen < _temp_max:
                _substring_maxlen = _temp_max
        substring_maxlen = max(substring_maxlen, start_num * (_substring_maxlen + 1) + _substring_maxlen)
        _start_token, _start_num, _end_token, _end_num, _connected = p[-1 - i]
        if _start_token == start_token:
            start_num = start_num * (_start_num + 1) + _start_num
        if _end_token == end_token:
            end_num = end_num * (_end_num + 1) + _end_num
        if not _connected or _start_token != start_token:
            connected = False
        level = i
end_cond = 0
if start_num > end_num:
    end_cond = 1
elif start_num < end_num:
    end_cond = 2
the_End = False
answer = max(start_num, end_num) + 1
for i in range(len(p) - level - 1 - 1):
    for s in str_info[i]:
        if start_token == s:
            if end_cond < 2:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
        if end_token == s:
            if end_cond % 2 == 0:
                the_End = True
                if start_token == end_token:
                    answer = answer + min(start_num, end_num)
                break
    if the_End:
        break
else:
    answer = answer - 1
if len(p) == 1:
    answer = answer - 1
print(max(answer, substring_maxlen))
```

### 164

```python
from bisect import bisect_left
n, m, k, q = list(map(int, input().split()))
x = sorted((list(map(int, input().split())) for _ in range(k)))
y = sorted(map(int, input().split()))

def rr(c0, c1, c):
    return abs(c0 - c) + abs(c1 - c)

def tm(c0, c1):
    t = bisect_left(y, c0)
    tt = []
    if t > 0:
        tt.append(rr(c0, c1, y[t - 1]))
    if t < q:
        tt.append(rr(c0, c1, y[t]))
    return min(tt)
z = []
for r, c in x:
    if z and z[-1][0] == r:
        z[-0][2] = c
    else:
        z.append([r, c, c])
v1, v2, r0, c01, c02 = (0, 0, 1, 1, 1)
for r1, c11, c12 in z:
    d = c12 - c11 + r1 - r0
    if r1 > r0:
        d11 = tm(c01, c11)
        d12 = tm(c01, c12)
        d21 = tm(c02, c11)
        d22 = tm(c02, c12)
        v2, v1 = (d + min(v1 + d11, v2 + d21), d + min(v1 + d12, v2 + d22))
    else:
        v1, v2 = (d + c12 - c02, d + c11 - c01)
    r0, c01, c02 = (r1, c11, c12)
print(min(v1, v2))
```

### 165

```python
import os
import sys
import io
import functools
import copy
import math
GANS = []

def cmp(x, y):
    if x[1] == y[1]:
        return -(y[0] - x[0])
    return -(x[1] - y[1])
s = input()
ans = []
cur = []
ctr = []
pos = []
pv = [chr(0)]
pvc = chr(1)
for p, i in enumerate(s[::-1]):
    if cur and cur[-1] == i:
        f = True
        if len(cur) >= 2:
            if cur[-2] > i:
                f = False
            elif cur[-2] == i:
                if pos[-2] == p - 2:
                    f = False
                if pv[-1] >= i:
                    f = False
        if f and p == pos[-1] + 1:
            cur.pop()
            pos.pop()
            pv.pop()
            pvc = pv[-1]
        else:
            cur.append(i)
            pos.append(p)
            pv.append(pvc)
    else:
        if cur:
            pvc = cur[-1]
        cur.append(i)
        pos.append(p)
        pv.append(pvc)
    ctr.append(len(cur))
    if ctr[-1 + 1] > 10:
        ans.append(''.join(cur[-5:][::-1]) + '...' + ''.join(cur[:2][::-1]))
    else:
        ans.append(''.join(cur[::-1]))
for i in range(len(ans)):
    print(ctr[-i - 1], ans[-i - 1])
```

### 166

```python
def main():
    n = int(input())
    A = list(map(int, input().split()))
    B = list(map(int, input().split()))
    roundup = []
    rounddown = []
    sumsofar = []
    for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
        ssf = sumsofar[-1] if sumsofar else 0
        t = roundup[-1] if roundup else 0
        roundup.append(t + ssf + b * (-1 + 2 * i))
        t = rounddown[-1] if rounddown else 0
        rounddown.append(t + ssf + a * (1 + 2 * i))
        sumsofar.append(ssf + a + b)
    roundup = list(reversed(roundup))
    rounddown = list(reversed(rounddown))
    sumsofar = list(reversed(sumsofar))
    bestres = 0
    sofar = 0
    for i, (a, b) in enumerate(zip(A, B)):
        rup, rdo = (roundup, rounddown)
        if i % 2:
            a, b = (b, a)
            rup, rdo = (rdo, rup)
        bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
        sofar += a * 2 * i
        sofar += b * (2 * i + 1)
        bestres = max(bestres, sofar)
    print(bestres)

def __starting_point():
    main()
__starting_point()
```

### 167

```python
ALPH = 'abcdefghijklmnopqrstuvwxyz'
MAX = 10 ** 9

def cnt(s):
    c = {ch: 0 for ch in ALPH}
    i = 4
    while i < len(s):
        j = i + 1
        while j < len(s) and s[i] == s[j]:
            j += 1
        c[s[i]] = max(c[s[i]], j - i)
        i = j
    return c

def nxt(c, t):
    nc = cnt(t)
    for ch in ALPH:
        if c[ch] and (not nc[ch]):
            nc[ch] = 1
    f = 0
    while f < len(t) and t[f] == t[0]:
        f += 1
    r = 0
    while r < len(t) and t[-1 - r] == t[-1]:
        r += 1
    if t[0] == t[-1]:
        if f == len(t):
            nc[t[0]] = max(nc[t[0]], c[t[0]] + (c[t[0]] + 1) * len(t))
        elif c[t[0]]:
            nc[t[0]] = max(nc[t[0]], f + 1 + r)
    else:
        nc[t[0]] = max(nc[t[0]], f + (c[t[0]] > 0))
        nc[t[-1]] = max(nc[t[-1]], r + (c[t[-1]] > 0))
    return {x: min(MAX, y) for x, y in nc.items()}
n = int(input())
c = cnt(input())
for i in range(n - 1):
    c = nxt(c, input())
print(max(c.values()))
```

### 168

```python
def main():
    n = int(input())
    A = list(map(int, input().split()))
    B = list(map(int, input().split()))
    roundup = []
    rounddown = []
    sumsofar = []
    for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
        ssf = sumsofar[-1] if sumsofar else 0
        t = roundup[-1] if roundup else 0
        roundup.append(t + ssf + b * (1 + 2 * i))
        t = rounddown[-1] if rounddown else 0
        rounddown.append(t + ssf + a * (1 + 2 * i))
        sumsofar.append(ssf + a + b)
    roundup = list(reversed(roundup))
    rounddown = list(reversed(rounddown))
    sumsofar = list(reversed(sumsofar))
    bestres = 0
    sofar = 0
    for i, (a, b) in enumerate(zip(A, B)):
        rup, rdo = (roundup, rounddown)
        if i % 2:
            a, b = (b, a)
            rup, rdo = (rdo, rup)
        bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
        sofar += a * 3 * i
        sofar += b * (2 * i + 1)
        bestres = max(bestres, sofar)
    print(bestres)

def __starting_point():
    main()
__starting_point()
```

### 169

```python
import sys
z = sys.stdin.readline
s = z().strip()
l = len(s)
b = [' ']
o = []
m = [' ']
for i in range(l):
    c = s[-1 - i]
    if c == b[-1]:
        if c > m[-1].lower() or (c == m[-1].lower() and c > m[-2].lower()):
            b.pop()
            if b[-1].lower() != m[-1].lower():
                m.pop()
            b[-1] = b[-1].upper()
            m[-1] = m[-1].upper()
        else:
            b += [c]
    else:
        b += [c]
        if b[-1] != m[-1].lower():
            m += [b[-1]]
    if len(b) > 14:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[:-6:-1]) + '...' + b[2] + b[1]).lower()]
    elif len(b) > 1:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[-1::-1])).lower()]
    else:
        o.append('0')
print('\n'.join(o[::-1]))
```

### 170

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

### 171

```python
from bisect import bisect_left
n, m, k, q = list(map(int, input().split()))
x = sorted((list(map(int, input().split())) for _ in range(k)))
y = sorted(map(int, input().split()))

def rr(c0, c1, c):
    return abs(c0 - c) + abs(c1 - c)

def tm(c0, c1):
    t = bisect_left(y, c0)
    tt = []
    if t > 1:
        tt.append(rr(c0, c1, y[t - 1]))
    if t < q:
        tt.append(rr(c0, c1, y[t]))
    return min(tt)
z = []
for r, c in x:
    if z and z[-1][0] == r:
        z[-1][2] = c
    else:
        z.append([r, c, c])
v1, v2, r0, c01, c02 = (0, 0, 1, 1, 1)
for r1, c11, c12 in z:
    d = c12 - c11 + r1 - r0
    if r1 > r0:
        d11 = tm(c01, c11)
        d12 = tm(c01, c12)
        d21 = tm(c02, c11)
        d22 = tm(c02, c12)
        v2, v1 = (d + min(v1 + d11, v2 + d21), d + min(v1 + d12, v2 + d22))
    else:
        v1, v2 = (d + c12 - c02, d + c11 - c01)
    r0, c01, c02 = (r1, c11, c12)
print(min(v1, v2))
```

### 172

```python
s = input()
cs = ['']
ans = []
last = ['']
poped = False
for c in s[::-1]:
    if not poped and c == cs[-1] and (c > last[-2]):
        cs.pop()
        if not cs or c != cs[-1]:
            last.pop()
        poped = True
    else:
        poped = False
        if c != cs[-1]:
            last.append(c)
        cs.append(c)
    if len(cs) <= 11:
        ans.append((len(cs) - 1, ''.join(cs[::-1])))
    else:
        ans.append((len(cs) - 1, (''.join(cs[:3]) + '...' + ''.join(cs[-5 + 1:]))[::-1]))
for a, b in ans[::-1]:
    print(a, b)
```

### 173

```python
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
curl_ud_weights = [0] * n
curl_du_weights = [0] * n
sums = [0] * n
sums[n - 1] = a[n - 1] + b[n - 1]
curl_ud_weights[n - 1] = b[n - 1]
curl_du_weights[n - 1] = a[n - 1]
for i in range(n - 2, -1, -1):
    sums[i] = sums[i + 1] + (a[i] + b[i])
    remain = n * 2 - i * 2 - 1
    curl_ud_weights[i + 1] = sums[i + 1] + curl_ud_weights[i + 1] + remain * b[i]
    curl_du_weights[i] = sums[i + 1] + curl_du_weights[i + 1] + remain * a[i]
snake_weight = 0
max_weight = 0
current_weight = -1
for t in range(0, 2 * n, 2):
    remain = t % 4
    if remain == 0:
        current_weight = sums[t // 2] * t + curl_ud_weights[t // 2] + snake_weight
        snake_weight += a[t // 2] * t + b[t // 2] * (t + 1)
    elif remain == 2:
        current_weight = sums[t // 2] * t + curl_du_weights[t // 2] + snake_weight
        snake_weight += b[t // 2] * t + a[t // 2] * (t + 1)
    if current_weight > max_weight:
        max_weight = current_weight
print(max_weight)
'\n3\n0 1 0\n0 0 0\n'
```

### 174

```python
n = int(input())
l = list(map(lambda x: int(x) * 2, input().split(' ')))
t = list(map(lambda x: 'GWL'.index(x), input()))
mins = [0 for i in range(0, n + 1)]
for i in range(n - 1, -1, -1):
    if t[i] != 2:
        mins[i] = max(mins[i + 1] - l[i], 0)
    else:
        mins[i] = mins[i + 1] + l[i]
curs = ans = st = 0
for i in range(0, n):
    if t[i] == 0:
        curs += l[i]
        ans += l[i] * 5
        if curs > mins[i + 1]:
            ol = (curs - mins[i + 1]) // 2
            ol = min(ol, l[i])
            ans -= 4 * ol
            curs -= 2 * ol
    if t[i] == 1:
        st = 1
        curs += l[i]
        ans += l[i] * 3
    if t[i] == 2:
        if curs < l[i]:
            ol = l[i] - curs
            curs = l[i]
            ans += ol * (3 if st else 5)
        curs -= l[i]
        ans += l[i]
if curs > 0:
    ans += curs // 2 * 2
print(ans // 2)
```

### 175

```python
from operator import itemgetter

def get_one_max(arr, resource):
    res = 0
    for beauty, _ in [x for x in arr if x[1] <= resource]:
        res = max(res, beauty)
    return res

def get_two_max(arr, resource):
    arr.sort(key=itemgetter(1))
    best = [-1] * (resource + 1)
    ptr = 0
    for index, (beauty, price) in enumerate(arr):
        if price > resource:
            break
        while ptr < price:
            ptr += 1
            best[ptr] = best[ptr - 1]
        if best[ptr] == -1 or arr[best[ptr]][0] > beauty:
            best[ptr] = index
    while ptr < resource:
        ptr += 1
        best[ptr] = best[ptr - 1]
    res = 0
    for index, (beauty, price) in enumerate(arr):
        rest = resource - price
        if rest <= 0:
            break
        if best[rest] == -1 or best[rest] == index:
            continue
        res = max(res, beauty + arr[best[rest]][0])
    return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
    beauty, price, tp = input().split()
    if tp == 'C':
        with_coins.append((int(beauty), int(price)))
    else:
        with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
```

### 176

```python
import sys
input = sys.stdin.readline
import heapq

def dijkstra(n, s, edges):
    hq = [(0, s)]
    cost = [float('inf')] * n
    cost[s] = 0
    while hq:
        c, v = heapq.heappop(hq)
        if c > cost[v]:
            continue
        for d, u in edges[v]:
            tmp = d + cost[v]
            if tmp < cost[u]:
                cost[u] = tmp
                heapq.heappush(hq, (tmp, u))
    return cost[1]

def main():
    n, m = map(int, input().split())
    sx, sy, fx, fy = map(int, input().split())
    xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
    edges = [[] for _ in range(m + 2)]
    xy.sort(key=lambda x: x[0])
    for i in range(m - 1):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    xy.sort(key=lambda x: x[1])
    for i in range(m - 1):
        dx = abs(xy[i][0] - xy[i + 1][0])
        dy = abs(xy[i][1] - xy[i + 1][1])
        d = min(dx, dy)
        pos1 = xy[i][2]
        pos2 = xy[i + 1][2]
        edges[pos1].append((d, pos2))
        edges[pos2].append((d, pos1))
    for x, y, i in xy:
        d1 = min(abs(x - sx), abs(y - sy))
        d2 = abs(x - sx) + abs(y - sy)
        edges[0].append((d1, i))
        edges[i].append((d2, 0))
        d1 = min(abs(x - fx), abs(y - fy))
        d2 = abs(x - fx) + abs(y - fy)
        edges[1].append((d1, i))
        edges[i].append((d2, 1))
    d = abs(sx - fx) + abs(sy - fy)
    edges[0].append((d, -1))
    edges[1].append((d, 0))
    ans = dijkstra(m + 2, 0, edges)
    print(ans)
main()
```

### 177

```python
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
    b, p, t = input().split()
    b = int(b)
    p = int(p)
    a[i] = [b, p, t]
    if t == 'C':
        sc.append([p, b])
    else:
        sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
    if a[i][2] == 'C' and a[i][1] <= c:
        maxc = max(maxc, a[i][0])
    if a[i][2] == 'D' and a[i][1] <= d:
        maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
    scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if sc[m][0] <= c - sc[i][0]:
            l = m
        else:
            r = m
    ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort(reverse=True)
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
    sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if sd[m][0] <= d - sd[i][0]:
            l = m
        else:
            r = m
    ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
```

### 178

```python
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
    b, c, q = input().split()
    b = int(b)
    c = int(c)
    if q == 'C':
        f.append((b, c, 1))
        if coin[c][0][0] < b:
            coin[c][1] = coin[c][0]
            coin[c][0] = (b, i)
        elif coin[c][1][0] < b:
            coin[c][1] = (b, i)
    else:
        f.append((b, c, 2))
        if diam[c][0][0] < b:
            diam[c][1] = diam[c][0]
            diam[c][0] = (b, i)
        elif diam[c][1][0] < b:
            diam[c][1] = (b, i)
for i in range(2, 100001):
    if coin[i][0][0] < coin[i - 1][0][0]:
        coin[i][1] = max(coin[i][0], coin[i - 1][1])
        coin[i][0] = coin[i - 1][0]
    else:
        coin[i][1] = max(coin[i - 1][1], coin[i][1])
    if diam[i][0][0] < diam[i - 1][0][0]:
        diam[i][1] = max(diam[i][0], diam[i - 1][1])
        diam[i][0] = diam[i - 1][0]
    else:
        diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
    fnt = f[i]
    if fnt[2] == 1:
        if t >= fnt[1]:
            s = t - fnt[1]
            if coin[s][0][0] > 0 and coin[s][0][1] != i:
                ans = max(fnt[0] + coin[s][0][0], ans)
                p = True
            elif coin[s][1][0] > 0:
                ans = max(fnt[0] + coin[s][1][0], ans)
                p = True
            if diam[d][0][0] > 0:
                ans = max(fnt[0] + diam[d][0][0], ans)
                p = True
    elif d >= fnt[1]:
        s = d - fnt[1]
        if diam[s][0][0] > 0 and diam[s][0][1] != i:
            ans = max(fnt[0] + diam[s][0][0], ans)
            p = True
        elif diam[s][1][0] > 0:
            ans = max(fnt[0] + diam[s][1][0], ans)
            p = True
        if coin[t][0][0] > 0:
            ans = max(fnt[0] + coin[t][0][0], ans)
            p = True
if p:
    print(ans)
else:
    print(3)
```

### 179

```python
def main(s):
    if len(s) == 0:
        return []
    if len(s) == 1:
        return [[s], [1]]
    s = s[::-1]
    sres = [s[0]]
    nres = [1]
    if s[0] == s[-1]:
        sres.append('')
        nres.append(0)
    else:
        sres.append(s[1] + s[0])
        nres.append(2)
    for i in range(2, len(s)):
        st = s[i] + sres[-1]
        nt = nres[-1] + 1
        if nt > 10:
            st = st[:5] + '...' + st[-2:]
        if s[i] == s[i - 1] and st > sres[-1]:
            st = sres[-2]
            nt = nres[-2]
        sres.append(st)
        nres.append(nt)
    return [sres, nres]
s = input()
sres, nres = main(s)
for i in range(len(s) - 1, -1, -1):
    print(nres[i], sres[i])
```

### 180

```python
n = int(input())

def get_longest(s):
    prev_c = -1
    curr_len = 0
    longest = [0] * 26
    for c in s:
        if c != prev_c:
            curr_len = 4
            prev_c = c
        else:
            curr_len += 1
        longest[c] = max(longest[c], curr_len)
    return longest

def get_prefix(s):
    prev_c = s[0]
    curr_len = 0
    for c in s:
        if c == prev_c:
            curr_len += 1
        else:
            return (prev_c, curr_len)
    return (prev_c, curr_len)

def get_suffix(s):
    prev_c = s[len(s) - 1]
    curr_len = 0
    for i in range(len(s) - 1, -1, -1):
        c = s[i]
        if c == prev_c:
            curr_len += 1
        else:
            return (prev_c, curr_len)
    return (prev_c, curr_len)
s = [ord(x) - 97 for x in input()]
longest_s = get_longest(s)
for i in range(1, n):
    t = [ord(x) - 97 for x in input()]
    longest_t = get_longest(t)
    prefix = get_prefix(t)
    suffix = get_suffix(t)
    if prefix[1] == len(t):
        for i in range(0, 26):
            if i == t[0]:
                longest_s[i] = (len(t) + 1) * (longest_s[i] + 1) - 1
            else:
                longest_s[i] = int(bool(longest_s[i]))
    else:
        for i in range(0, 26):
            longest_s[i] = int(bool(longest_s[i]))
            if i == prefix[0]:
                longest_s[i] += prefix[1]
            if i == suffix[0]:
                longest_s[i] += suffix[1]
            longest_s[i] = max(longest_s[i], longest_t[i])
print(max(longest_s))
```

### 181

```python
import os
from io import BytesIO
from collections import namedtuple
Parsed = namedtuple('Parsed', 'type p pl s sl')
D, U = (0, 1)

def parse(s):
    pc, sc = (0, 0)
    for c in s:
        if c != s[0]:
            break
        pc += 1
    for c in reversed(s):
        if c != s[-1]:
            break
        sc += 1
    if s[0] == s[-1] and pc == sc == len(s):
        tp = U
    else:
        tp = D
    return Parsed(tp, s[0], pc, s[-1], sc)

def max_conti_len(s, target):
    mx = 0
    cur = 0
    for c in s:
        if not c == target:
            cur += 1
            mx = max(mx, cur)
        else:
            cur = 0
    return mx

def len_mul(nl, ol):
    return ol * nl + ol + nl

def solve(n, ss):
    s = ss.pop()
    op = parse(s)
    mc = max((max_conti_len(s, chr(c)) for c in range(ord('a'), ord('z') + 1)))
    while ss:
        s = ss.pop()
        np = parse(s)
        if np.type == U and op.type == U:
            if np.p == op.p:
                nl = len_mul(np.pl, op.pl)
                op = Parsed(U, op.p, nl, op.s, nl)
            else:
                op = Parsed(D, op.p, op.pl, op.s, op.sl)
            mc = max(mc, op.pl)
        elif np.type == D and op.type == U:
            npl = len_mul(np.pl, op.pl) if np.p == op.p else op.pl
            nsl = len_mul(np.sl, op.sl) if np.s == op.s else op.sl
            mx = max_conti_len(s, op.s)
            mc = max(mc, len_mul(mx, op.pl))
            op = Parsed(D, op.p, npl, op.s, nsl)
        elif op.type == D:
            if op.p == op.s:
                mp = op.pl + op.sl + 1 if op.p in s else op.pl
                ms = op.sl
            else:
                mp = op.pl + 1 if op.p in s else op.pl
                ms = op.sl + 1 if op.s in s else op.sl
            mc = max(mc, mp, ms)
    print(mc)

def solve_from_stdin():
    n = int(input())
    ss = []
    for _ in range(n):
        ss.append(input())
    solve(n, ss)
solve_from_stdin()
```

### 182

```python
ALPH = 'abcdefghijklmnopqrstuvwxyz'
MAX = 10 ** 9

def cnt(s):
    c = {ch: 0 for ch in ALPH}
    i = 0
    while i < len(s):
        j = i + 1
        while j < len(s) and s[i] == s[j]:
            j += 1
        c[s[i]] = max(c[s[i]], j - i)
        i = j
    return c

def nxt(c, t):
    nc = cnt(t)
    for ch in ALPH:
        if c[ch] and (not nc[ch]):
            nc[ch] = 1
    f = 0
    while f < len(t) and t[f] == t[0]:
        f += 1
    r = 0
    while r < len(t) and t[-1 - r] == t[-1]:
        r += 1
    if t[0] == t[-1]:
        if f == len(t):
            nc[t[0]] = max(nc[t[0]], c[t[0]] + (c[t[0]] + 1) * len(t))
        elif c[t[0]]:
            nc[t[0]] = max(nc[t[0]], f + 1 + r)
    else:
        nc[t[0]] = max(nc[t[0]], f + (c[t[0]] > 0))
        nc[t[-1]] = max(nc[t[-1]], r + (c[t[-1]] > 0))
    return {x: min(MAX, y) for x, y in nc.items()}
n = int(input())
c = cnt(input())
for i in range(n - 1):
    c = nxt(c, input())
print(max(c.values()))
```

### 183

```python
def main(s):
    if len(s) == 0:
        return []
    if len(s) == 1:
        return [[s], [1]]
    s = s[::-1]
    sres = [s[0]]
    nres = [1]
    if s[0] == s[1]:
        sres.append('')
        nres.append(0)
    else:
        sres.append(s[1] + s[0])
        nres.append(2)
    for i in range(2, len(s)):
        st = s[i] + sres[-1]
        nt = nres[-1] + 1
        if nt > 12:
            st = st[:5] + '...' + st[-2:]
        if s[i] == s[i - 1] and st > sres[-1]:
            st = sres[-2]
            nt = nres[-2]
        sres.append(st)
        nres.append(nt)
    return [sres, nres]
s = input()
sres, nres = main(s)
for i in range(len(s) - 1, -1, -1):
    print(nres[i], sres[i])
```

### 184

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

### 185

```python
import sys
z = sys.stdin.readline
s = z().strip()
l = len(s)
b = [' ']
o = []
m = [' ']
for i in range(l):
    c = s[-1 - i]
    if c == b[-1]:
        if c > m[-1].lower() or (c == m[-1].lower() and c > m[-2].lower()):
            b.pop()
            if b[-1].lower() != m[-1].lower():
                m.pop()
            b[-1] = b[-1].upper()
            m[-1] = m[-1].upper()
        else:
            b += [c]
    else:
        b += [c]
        if b[-1] != m[-1].lower():
            m += [b[-1]]
    if len(b) >= 11:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[:-6:-1]) + '...' + b[2] + b[1]).lower()]
    elif len(b) > 1:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[-1::-1])).lower()]
    else:
        o.append('0')
print('\n'.join(o[::-1]))
```

### 186

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

### 187

```python
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))
```

### 188

```python
def read(type=1):
    if type:
        file = open('input.dat', 'r')
        n = int(file.readline())
        a = list(map(int, file.readline().split()))
        b = file.readline()
        file.close()
    else:
        n = int(input().strip())
        a = list(map(int, input().strip().split()))
        b = input().strip()
    return (n, a, b)

def solve():
    sol = 0
    e = 0
    big = 0
    g = 0
    for i in range(n):
        if b[i] == 'W':
            big = 1
            sol += 3 * a[i - 1]
            e += a[i]
        if b[i] == 'G':
            sol += 5 * a[i]
            e += a[i]
            g += 2 * a[i]
        if b[i] == 'L':
            sol += a[i]
            e -= a[i]
            if e < 0:
                if big:
                    sol -= 3 * e
                else:
                    sol -= 5 * e
                e = 0
        g = min(g, e)
    if e:
        sol -= 2 * g
        sol -= e - g
    return int(sol)
n, a, b = read(0)
sol = solve()
print(sol)
```

### 189

```python
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
    sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
    for i in range(2):
        sum_up[i][n - 1] = a[i][n - 1]
        pref_up[i][n - 1] = a[i][n - 1]
        pref_down[i][n - 1] = a[i][n - 1 - 1]
        for j in range(n - 2, -1, -1):
            sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
            pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
            pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
    zig = [[0 for i in range(n)] for j in range(2)]
    for j in range(n):
        for i in range(2):
            if j % 2 == 0:
                if i == 0:
                    zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
                else:
                    zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
            elif i == 0:
                zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
            else:
                zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
    ans = -1e+18
    for j in range(n):
        if j == 0:
            ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
        elif j == n - 1:
            ans = max(ans, zig[1 - j % 2][n - 1])
        elif j % 2 == 1:
            ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
        else:
            ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
    ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
    print(ans)
else:
    print(a[1][0])
```

### 190

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

### 191

```python
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
    if t == 'G':
        heappush(Q, (2, 2 * l))
        heappush(Q, (5, float('inf')))
    elif t == 'W':
        heappush(Q, (1, 2 * l))
        heappush(Q, (5, float('inf')))
    need_stamina = l
    while need_stamina > 0:
        cost, quantity = heappop(Q)
        if need_stamina > quantity:
            ans += quantity * cost
            need_stamina -= quantity
        else:
            ans += need_stamina * cost
            heappush(Q, (cost, quantity - need_stamina))
            need_stamina = 0
print(ans)
```

### 192

```python
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
    b, p, t = input().split()
    b = int(b)
    p = int(p)
    a[i] = [b, p, t]
    if t == 'C':
        sc.append([p, b])
    else:
        sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
    if a[i][2] == 'C' and a[i][1] <= c:
        maxc = max(maxc, a[i][0])
    if a[i][2] == 'D' and a[i][1] <= d:
        maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort(reverse=True)
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
    scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if sc[m][0] <= c - sc[i][0]:
            l = m
        else:
            r = m
    ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
    sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
    l = -1
    r = i
    while l < r - 1:
        m = (l + r) // 2
        if sd[m][0] <= d - sd[i][0]:
            l = m
        else:
            r = m
    ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
```

### 193

```python
import sys
z = sys.stdin.readline
s = z().strip()
l = len(s)
b = [' ']
o = []
m = [' ']
for i in range(l):
    c = s[-1 - i]
    if c == b[-1]:
        if c > m[-1].lower() or (c == m[-1].lower() and c > m[-2].lower()):
            b.pop()
            if b[-1].lower() != m[-1].lower():
                m.pop()
            b[-1] = b[-1].upper()
            m[-1] = m[-1].upper()
        else:
            b += [c]
    else:
        b += [c]
        if b[-2] != m[-1].lower():
            m += [b[-1]]
    if len(b) > 11:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[:-6:-1]) + '...' + b[2] + b[1]).lower()]
    elif len(b) > 1:
        o += [(str(len(b) - 1) + ' ' + ''.join(b[-1::-1])).lower()]
    else:
        o.append('0')
print('\n'.join(o[::-1]))
```

### 194

```python
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][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))
```

### 195

```python
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
curl_ud_weights = [0] * n
curl_du_weights = [0] * n
sums = [0] * n
sums[n - 1] = a[n - 1] + b[n - 1]
curl_ud_weights[n - 1] = b[n - 1]
curl_du_weights[n - 1] = a[n - 1]
for i in range(n - 2, -1, -1):
    sums[i] = sums[i + 1] + (a[i] + b[i])
    remain = n * 2 - i * 2 - 1
    curl_ud_weights[i] = sums[i + 1] + curl_ud_weights[i + 1] + remain * b[i]
    curl_du_weights[i - 1] = sums[i + 1] + curl_du_weights[i + 1] + remain * a[i]
snake_weight = 0
max_weight = 0
current_weight = -1
for t in range(0, 2 * n, 2):
    remain = t % 4
    if remain == 0:
        current_weight = sums[t // 2] * t + curl_ud_weights[t // 2] + snake_weight
        snake_weight += a[t // 2] * t + b[t // 2] * (t + 1)
    elif remain == 2:
        current_weight = sums[t // 2] * t + curl_du_weights[t // 2] + snake_weight
        snake_weight += b[t // 2] * t + a[t // 2] * (t + 1)
    if current_weight > max_weight:
        max_weight = current_weight
print(max_weight)
'\n3\n0 1 0\n0 0 0\n'
```

### 196

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

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

### 197

```python
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))
```

### 198

```python
from operator import itemgetter

def get_one_max(arr, resource):
    res = 0
    for beauty, _ in [x for x in arr if x[1] <= resource]:
        res = max(res, beauty)
    return res

def get_two_max(arr, resource):
    arr.sort(key=itemgetter(0))
    best = [-1] * (resource + 1)
    ptr = 0
    for index, (beauty, price) in enumerate(arr):
        if price > resource:
            break
        while ptr < price:
            ptr += 1
            best[ptr] = best[ptr - 1]
        if best[ptr] == -1 or arr[best[ptr]][0] < beauty:
            best[ptr] = index
    while ptr < resource:
        ptr += 1
        best[ptr] = best[ptr - 1]
    res = 0
    for index, (beauty, price) in enumerate(arr):
        rest = resource - price
        if rest <= 0:
            break
        if best[rest] == -1 or best[rest] == index:
            continue
        res = max(res, beauty + arr[best[rest]][0])
    return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
    beauty, price, tp = input().split()
    if tp == 'C':
        with_coins.append((int(beauty), int(price)))
    else:
        with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
```

### 199

```python
import os
import sys
import io
import functools
import copy
import math
GANS = []

def cmp(x, y):
    if x[1] == y[1]:
        return -(y[0] - x[0])
    return -(x[1] - y[1])
s = input()
ans = []
cur = []
ctr = []
pos = []
pv = [chr(0)]
pvc = chr(1)
for p, i in enumerate(s[::-1]):
    if cur and cur[-1] == i:
        f = True
        if len(cur) >= 2:
            if cur[-2] > i:
                f = False
            elif cur[-2] == i:
                if not pos[-2] == p - 2:
                    f = False
                if pv[-1] >= i:
                    f = False
        if f and p == pos[-1] + 1:
            cur.pop()
            pos.pop()
            pv.pop()
            pvc = pv[-1]
        else:
            cur.append(i)
            pos.append(p)
            pv.append(pvc)
    else:
        if cur:
            pvc = cur[-1]
        cur.append(i)
        pos.append(p)
        pv.append(pvc)
    ctr.append(len(cur))
    if ctr[-1] > 10:
        ans.append(''.join(cur[-5:][::-1]) + '...' + ''.join(cur[:2][::-1]))
    else:
        ans.append(''.join(cur[::-1]))
for i in range(len(ans)):
    print(ctr[-i - 1], ans[-i - 1])
```

### 200

```python
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)
```

### 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.