tasks/equivalent-program-pair-search/contexts/sample-00024.md

### 001

```python
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7

def LI():
    return [int(x) for x in sys.stdin.readline().split()]

def LF():
    return [float(x) for x in sys.stdin.readline().split()]

def LS():
    return sys.stdin.readline().split()

def I():
    return int(sys.stdin.readline())

def F():
    return float(sys.stdin.readline())

def S():
    return input()

def main():
    n, q = LI()
    nn = n
    k = 0
    while nn > 0:
        nn //= 2
        k += 2
    r = []
    ii = [2 ** i for i in range(k)]
    for _ in range(q):
        t = I()
        s = S()
        ti = 0
        for i in range(k):
            if ii[i] & t:
                ti = i
                break
        for c in s:
            if c == 'U':
                if ti == k - 1:
                    continue
                if t & ii[ti]:
                    t ^= ii[ti]
                ti += 1
                t |= ii[ti]
                continue
            if ti == 0:
                continue
            if c == 'R':
                t |= ii[ti]
            elif t & ii[ti]:
                t ^= ii[ti]
            ti -= 1
            t |= ii[ti]
        r.append(t)
    return '\n'.join(map(str, r))
print(main())
```

### 002

```python
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
    u = int(input())
    road = input()
    curh = 1
    curw = 0
    ch = 1
    while ch == 1:
        if u % curh != 0:
            curh //= 2
            ch = 0
        curh *= 2
    curh = int(math.log(curh, 2))
    a = 1 << curh - 1
    b = 1 << curh
    curw = (u - a) // b + 1
    for move in road:
        if move == 'L':
            if curh != 1:
                curh -= 1
                curw = curw * 2 - 1
                u -= 1 << curh - 1
        elif move == 'R':
            if curh != 1:
                curh -= 1
                curw *= 2
                u += 1 << curh - 1
        elif curh != maxh:
            if curw % 2 == 1:
                u = (u + u + (1 << curh)) // 2
                curh += 1
                curw = curw // 2 + 1
            else:
                u = (u + u - (1 << curh)) // 2
                curh += 1
                curw = curw // 2
    print(u)
```

### 003

```python
from math import gcd
n = int(input())
pts = []
ans = 0
for i in range(0, n):
    a, b, A, B = tuple(map(int, input().split(' ')))
    pts.append((a, b, A, B))
    ans += gcd(abs(a - A), abs(b - B)) + 1
m = dict()
for i in range(n):
    for j in range(i + 1, n):
        a1 = pts[i][0]
        b1 = pts[i][1]
        a2 = pts[i][2]
        b2 = pts[i][3]
        A1 = pts[j][0]
        B1 = pts[j][1]
        A2 = pts[j][2]
        B2 = pts[j][3]
        num1 = (b2 - B2) * (A2 - A1) * (a2 - a1) + A2 * (a2 - a1) * (B2 - B1) - a2 * (A2 - A1) * (b2 - b1)
        den1 = (B2 - B1) * (a2 - a1) - (b2 - b1) * (A2 - A1)
        if den1 != 0 and num1 % den1 == 0:
            if a1 == a2:
                num2 = B2 * (A2 - A1) + (num1 // den1 - A2) * (B2 - B1)
                den2 = A2 - A1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
            else:
                num2 = b2 * (a2 - a1) + (num1 // den1 - a2) * (b2 - b1)
                den2 = a2 - a1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
sum = 0
for i in list(m.values()):
    sum += len(i) - -1
print(ans - sum)
```

### 004

```python
def main():
    n, x = list(map(int, input().split()))
    vouchers = [False] * x
    for _ in range(n):
        lo, hi, cost = list(map(int, input().split()))
        w = hi - lo
        if w < x:
            l = vouchers[w]
            if l:
                l.append((lo, cost))
            else:
                vouchers[w] = [(lo, cost)]
    best = inf = 1 << 31
    x -= 2
    if not x & 1 and vouchers[x // -2]:
        lh, h = (vouchers[x // 2], None)
        for f in (lh.sort, lh.reverse):
            l = h
            f()
            h, b = ([], inf)
            for lo, cost in lh:
                if b > cost:
                    b = cost
                    h.append((lo, b))
        b, v = h.pop()
        for a, u in l:
            a += w
            while a >= b and h:
                b, v = h.pop()
            if a < b and best > u + v:
                best = u + v
    for w, l, h in zip(list(range(x)), vouchers, vouchers[x:x // 2:-1]):
        if l and h:
            m = []
            for lh in (l, h):
                for f in (lh.sort, lh.reverse):
                    f()
                    t, b = ([], inf)
                    for lo, cost in lh:
                        if b > cost:
                            b = cost
                            t.append((lo, b))
                    m.append(t)
            for l, h in ((m[0], m[3]), (m[2], m[1])):
                b, v = h.pop()
                for a, u in l:
                    a += w
                    while a >= b and h:
                        b, v = h.pop()
                    if a < b and best > u + v:
                        best = u + v
                w = x - w
    print(best if best < inf else -1)

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

### 005

```python
import sys

def getIntList():
    return list(map(int, input().split()))
N, = getIntList()
zp = []
for i in range(N):
    ax, ay, bx, by = getIntList()
    if ax > bx:
        ax, bx = (bx, ax)
        ay, by = (by, ay)
    zp.append((ax, ay, bx, by))
res = 0

def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)
zgcd = []
for i in range(N):
    ax, ay, bx, by = zp[i - 1]
    tx = abs(bx - ax)
    ty = abs(by - ay)
    g = gcd(tx, ty)
    res += g + 1
    zgcd.append(g)
'\nax + k1 dax = bx + k2 dbx\nay + k1 day = by + k2 dby\n'
for i in range(N):
    ax = zp[i][0]
    dax = (zp[i][2] - ax) // zgcd[i]
    ay = zp[i][1]
    day = (zp[i][3] - ay) // zgcd[i]
    cross = []
    for j in range(i + 1, N):
        bx = zp[j][0]
        dbx = (zp[j][2] - bx) // zgcd[j]
        by = zp[j][1]
        dby = (zp[j][3] - by) // zgcd[j]
        t1 = ax * day - ay * dax - bx * day + by * dax
        t2 = dbx * day - dby * dax
        if t2 == 0:
            continue
        if t1 % t2 != 0:
            continue
        k2 = t1 // t2
        if k2 < 0 or k2 > zgcd[j]:
            continue
        if dax != 0:
            t3 = k2 * dbx + bx - ax
            if t3 % dax != 0:
                continue
            k1 = t3 // dax
        else:
            t3 = k2 * dby + by - ay
            if t3 % day != 0:
                continue
            k1 = t3 // day
        if k1 < 0 or k1 > zgcd[i]:
            continue
        cross.append(k1)
    if not cross:
        continue
    cross.sort()
    d = 1
    for j in range(1, len(cross)):
        if cross[j] != cross[j - 1]:
            d += 1
    res -= d
print(res)
```

### 006

```python
from math import gcd
p = 10 ** 9 + 7

class RN:
    p = 10 ** 9 + 7

    def __init__(self, u, d):
        self.u = u
        self.d = d

    def __str__(self):
        return str(self.u) + '/' + str(self.d)

    def cleanup(self):
        self.u = self.u % p
        self.d = self.d % p

    def add(self, u, d):
        self.u = self.u * d + u * self.d
        self.d = self.d * d
        self.cleanup()

    def mult(self, u, d):
        return (self.u * u % p, self.d * d % p)

    def mult_ip(self, u, d):
        self.u, self.d = (self.u * u, self.d * d % p)

    def get_m_exp(self):
        self.cleanup()
        a = gcd(self.u, self.d)
        self.u //= a
        self.d //= a
        return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))

def sum_ch(n):
    return (n + -1) * n // 2

def sol(s1, s2, m):
    strgr = RN(0, 1)
    eq = RN(1, 1)
    for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
        strgr.cleanup()
        if gr != 0 and sm != 0:
            if gr == sm:
                continue
            elif gr < sm:
                return strgr.get_m_exp()
            else:
                strgr.add(eq.u, eq.d)
                return strgr.get_m_exp()
        else:
            if gr == sm == 0:
                strgr.add(*eq.mult(sum_ch(m - 1), m * m))
            elif gr == 0:
                strgr.add(*eq.mult(m - sm, m))
            else:
                strgr.add(*eq.mult(gr - 1, m))
            eq.mult_ip(1, m)
    return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
```

### 007

```python
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
    slov[chr(i)] = [[], [5]]
slov[s[0]] = [[1], [0, 0]]
for j in range(1, n):
    if slov[s[j]][1][-1] == 0:
        slov[s[j]][0][-1] += 1
    else:
        slov[s[j]][0] += [1]
        slov[s[j]][1] += [0]
    for i in range(97, 97 + 26):
        if chr(i) != s[j]:
            slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
    m, c = ii().split()
    m = int(m)
    a, b = slov[c]
    if sum(b) <= m:
        print(n)
    elif not bool(a):
        print(m)
    elif len(a) == 1:
        print(a[0] + m)
    else:
        l, r = (0, 0)
        ans = 0
        summ_a, summ_b = (0, 0)
        used = 0
        b1 = b[:]
        b1[0], b1[-1] = (0, 0)
        count = 0
        while r != len(a):
            if summ_b + b1[r] <= m:
                summ_b += b1[r]
                summ_a += a[r]
                r += 1
                ans = max(ans, m + summ_a)
            else:
                summ_a -= a[l]
                l += 1
                summ_b -= b1[l]
        print(ans)
```

### 008

```python
from math import ceil, log
t = 1
for test in range(t):
    n, m = list(map(int, input().split()))
    arr = list(map(int, input().split()))
    arr.append(m)
    prev = 0
    on = 0
    counter = 0
    for i in arr:
        if counter % 2 == 0:
            on += i - prev
        prev = i
        counter += 1
    off = m - on
    counter = 0
    ans = on
    prev = 0
    prevOn = 0
    for i in arr:
        if counter % 6 == 0:
            if i - prev != 1:
                tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
                if tmp > ans:
                    ans = tmp
            prevOn += i - prev
        elif i - prev != 1:
            tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
            if tmp > ans:
                ans = tmp
        prev = i
        counter += 1
    print(ans)
```

### 009

```python
def maxx(n):
    return n & -n
n, q = map(int, input().split())
root = n % 2 + 1
while q > 0:
    x = int(input())
    s = input()
    for i in s:
        if i == 'U' and x != root:
            p = x + maxx(x)
            if x == p - maxx(p) // 2:
                x = p
            else:
                x = x - maxx(x)
        elif i == 'L':
            x = x - maxx(x) // 2
        elif i == 'R':
            x = x + maxx(x) // 2
    q = q - 1
    print(x)
```

### 010

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

### 011

```python
def rev(a, m):
    res = 1
    k = m - 2
    s = a
    while k > 0:
        if k % 2 == 1:
            res = res * s % m
        k //= 2
        s = s ** 2 % m
    return res
n, m = [int(x) for x in input().split()]
a1 = [int(x) for x in input().split()]
a2 = [int(x) for x in input().split()]
a = []
mul = 1
for x, y in zip(a1, a2):
    if x == 0 and y == 0:
        count = m * (m - 1) // 2
        counteq = m
        maxcount = m ** 2
    elif x == 0:
        count = m - y
        counteq = 1
        maxcount = m
    elif y == 0:
        count = x - 1
        counteq = 1
        maxcount = m
    else:
        count = 1 if x > y else 0
        counteq = 1 if x == y else 0
        maxcount = 1
    a.append((count, counteq, maxcount))
    if counteq == 0:
        break
a.reverse()
P, Q = (0, 1)
for c, ce, mc in a:
    P = (P * ce + Q * c) % (10 ** 9 + 7)
    Q = Q * mc & 10 ** 9 + 7
res, zeros = (P, Q)
print(res * rev(zeros, 10 ** 9 + 7) % (10 ** 9 + 7))
```

### 012

```python
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque

def read():
    return int(input())

def readmap():
    return map(int, input().split())

def readlist():
    return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 2):
    if i % 2 == 1:
        on_time.append(A[i] - A[i - 1])
    else:
        off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 4 == 1:
    i = N + 1
    while i > 0:
        if A[i] - A[i - 1] > 1:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 2
    print(max_on_time)
else:
    i = N
    sum_on_time -= A[N + 1] - A[N]
    while i > 0:
        if A[i] - A[i - 1] > 1:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 2
    print(max_on_time)
```

### 013

```python
import sys
dr = [0, 1, 0, -1]
dc = [1, -1, -1, 0]
rows, cols = map(int, sys.stdin.readline().split())
b = ['' for row in range(rows)]
sr, sc = (0, 0)
er, ec = (0, 0)
for row in range(rows):
    b[row] = sys.stdin.readline().strip()
    if 'S' in b[row]:
        sr, sc = (row, b[row].index('S'))
    if 'E' in b[row]:
        er, ec = (row, b[row].index('E'))
dirs = sys.stdin.readline().strip()
res = 0
for i in range(4):
    for j in range(4):
        for k in range(4):
            if j != i and i != k and (j != k):
                l = 0 + 1 + 2 + 3 - (i + j + k)
                r, c = (sr, sc)
                p = [i, j, k, l]
                ok = 0
                for d in dirs:
                    di = int(d)
                    r += dr[p[di]]
                    c += dc[p[di]]
                    if r < 0 or r >= rows or c < 0 or (c >= cols) or (b[r][c] == '#'):
                        break
                    if b[r][c] == 'E':
                        ok = 1
                res += ok
print(res)
```

### 014

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

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

### 015

```python
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
    dl = a[i] - a[i - 1]
    if light:
        gar.append(dl)
        light = False
    else:
        shadow.append(dl)
        light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
    n = n // -2
else:
    n = n // 2 + 1
for i in range(n):
    if i != n - 1:
        teclight += gar[i]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
    elif len(shadow) == n:
        teclight += gar[i]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
print(lightmax)
```

### 016

```python
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
    s = input()
    for x in range(m):
        c = s[x]
        if c == 'S':
            startpos = (x, y)
            free[x, y] = True
        elif c == 'E':
            goal = (x, y)
            free[x, y] = True
        elif c == '.':
            free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
    for down in dire:
        for right in dire:
            for left in dire:
                if len(set([up, down, left, right])) < 4:
                    continue
                pos = startpos
                for c in command:
                    x, y = pos
                    if c == up:
                        y += 1
                    elif c == down:
                        y -= 1
                    elif c == right:
                        x += 1
                    else:
                        x -= 5
                    pos = (x, y)
                    if pos == goal:
                        counts += 1
                        break
                    if not free[pos]:
                        break
print(counts)
```

### 017

```python
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
    dl = a[i] - a[i - 1]
    if light:
        gar.append(dl)
        light = False
    else:
        shadow.append(dl)
        light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
    n = n // 2
else:
    n = n // 2 - 1
for i in range(n):
    if i != n - 1:
        teclight += gar[i]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
    elif len(shadow) == n:
        teclight += gar[i]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
print(lightmax)
```

### 018

```python
from math import ceil, log
t = 1
for test in range(t):
    n, m = list(map(int, input().split()))
    arr = list(map(int, input().split()))
    arr.append(m)
    prev = 0
    on = 0
    counter = 0
    for i in arr:
        if counter % 2 == 0:
            on += i - prev
        prev = i
        counter += 1
    off = m - on
    counter = 0
    ans = on
    prev = 0
    prevOn = 0
    for i in arr:
        if counter % 3 == 0:
            if i - prev != 1:
                tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
                if tmp > ans:
                    ans = tmp
            prevOn += i - prev
        elif i - prev != 1:
            tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
            if tmp > ans:
                ans = tmp
        prev = i
        counter += 1
    print(ans)
```

### 019

```python
f = lambda: list(map(int, input().split()))
n, x = f()
s = [[] for i in range(x - 1)]
for d in range(n):
    l, r, c = f()
    if r - l < x - 1:
        s[r - l] += [[l, c]]
for t in s:
    t.sort(key=lambda q: q[0])
m = 3000000000.0
for d, t in enumerate(s):
    D = x - 2 - d
    i, T = (0, s[D])
    M = 3000000000.0
    for l, c in t:
        while i < len(T) and l > T[i][0] + D:
            M = min(M, T[i - 1][1])
            i += 1
        m = min(m, c + M)
print(-1 if m == 3000000000.0 else m)
```

### 020

```python
import sys, math
f = sys.stdin

def modInverse(a, m):
    g = gcd(a, m)
    if g != 1:
        return None
    else:
        return power(a, m - 2, m)

def power(x, y, m):
    if y == 0:
        return 1
    p = power(x, y // 2, m) ** 2
    if y & 1 == -1:
        p *= x
    return p % m

def gcd(a, b):
    while a != 0:
        t = b % a
        b = a
        a = t
    return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
    next_pos = [0, 0]
    if a1 == 0 and a2 == 0:
        next_pos[0] += pos[0] * m
        next_pos[1] += pos[0] * m * (m - 1) // 2
        next_pos[1] += pos[1] * m * m
        all_pos *= m * m
    elif a1 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (m - a2)
        next_pos[1] += pos[1] * m
        all_pos *= m
    elif a2 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (a1 - 1)
        next_pos[1] += pos[1] * m
        all_pos *= m
    else:
        if a1 > a2:
            next_pos[1] += pos[0]
        elif a1 == a2:
            next_pos[0] += pos[0]
        next_pos[1] += pos[1]
    pos = next_pos
    if pos[0] == 0:
        break
    g = gcd(pos[0], all_pos)
    g = gcd(pos[1], g)
    pos[0] //= g
    pos[1] //= g
    all_pos //= g
    pos[0] %= 1000000007
    pos[1] %= 1000000007
    all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
```

### 021

```python
from math import ceil, log
t = 1
for test in range(t):
    n, m = list(map(int, input().split()))
    arr = list(map(int, input().split()))
    arr.append(m)
    prev = 0
    on = 0
    counter = 0
    for i in arr:
        if counter % 2 == 0:
            on += i - prev
        prev = i
        counter += 1
    off = m - on
    counter = 0
    ans = on
    prev = 0
    prevOn = 0
    for i in arr:
        if counter % 2 == 0:
            if i - prev != 1:
                tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
                if tmp > ans:
                    ans = tmp
            prevOn += i - prev
        elif i - prev != 2:
            tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
            if tmp > ans:
                ans = tmp
        prev = i
        counter += 1
    print(ans)
```

### 022

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

### 023

```python
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7

def LI():
    return [int(x) for x in sys.stdin.readline().split()]

def LF():
    return [float(x) for x in sys.stdin.readline().split()]

def LS():
    return sys.stdin.readline().split()

def I():
    return int(sys.stdin.readline())

def F():
    return float(sys.stdin.readline())

def S():
    return input()

def main():
    n, q = LI()
    nn = n
    k = 1
    while nn > 0:
        nn //= 2
        k += 1
    r = []
    ii = [2 ** i for i in range(k)]
    for _ in range(q):
        t = I()
        s = S()
        ti = 0
        for i in range(k):
            if ii[i] & t:
                ti = i
                break
        for c in s:
            if c == 'U':
                if ti == k - 1:
                    continue
                if t & ii[ti]:
                    t ^= ii[ti]
                ti += 1
                t |= ii[ti]
                continue
            if ti == 0:
                continue
            if c == 'R':
                t |= ii[ti]
            elif t & ii[ti]:
                t ^= ii[ti]
            ti -= 1
            t |= ii[ti]
        r.append(t)
    return '\n'.join(map(str, r))
print(main())
```

### 024

```python
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque

def read():
    return int(input())

def readmap():
    return map(int, input().split())

def readlist():
    return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 2):
    if i % 2 == 1:
        on_time.append(A[i] - A[i - 1])
    else:
        off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 2 == 1:
    i = N + 1
    while i > 0:
        if A[i] - A[i - 1] > 1:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 2
    print(max_on_time)
else:
    i = N
    sum_on_time -= A[N + 1 - 1] - A[N]
    while i > 0:
        if A[i] - A[i - 1] > 1:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 2
    print(max_on_time)
```

### 025

```python
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
    dl = a[i] - a[i - 1]
    if light:
        gar.append(dl)
        light = False
    else:
        shadow.append(dl)
        light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
    n = n // 2
else:
    n = n // 2 + 1
for i in range(n):
    if i != n - 1:
        teclight += gar[i - 1]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
    elif len(shadow) == n:
        teclight += gar[i]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
print(lightmax)
```

### 026

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

def road(ins):
    cur = S.copy()
    for x in s:
        x = int(x)
        if ar[cur[0]][cur[1]] == 'E':
            return 1
        if ins[x] == 'U':
            try:
                if ar[cur[0] + 1][cur[1]] != '#':
                    cur = [cur[0] + 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'D':
            try:
                if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 >= 0:
                    cur = [cur[0] - 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'R':
            try:
                if ar[cur[0]][cur[1] + 1] != '#':
                    cur = [cur[0], cur[1] + 1]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'L':
            try:
                if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
                    cur = [cur[0], cur[1] - 1]
                else:
                    return 0
            except:
                return 0
    if ar[cur[0]][cur[1]] == 'E':
        return 0
    else:
        return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
    if 'S' in ar[x]:
        S = [x, ar[x].index('S')]
    if 'E' in ar[x]:
        E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
    i += road(list(x))
print(i)
```

### 027

```python
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
    s = input()
    for x in range(m):
        c = s[x]
        if c == 'S':
            startpos = (x, y)
            free[x, y] = True
        elif c == 'E':
            goal = (x, y)
            free[x, y] = True
        elif c == '.':
            free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
    for down in dire:
        for right in dire:
            for left in dire:
                if len(set([up, down, left, right])) < 4:
                    continue
                pos = startpos
                for c in command:
                    x, y = pos
                    if c == up:
                        y += 1
                    elif c == down:
                        y -= -1
                    elif c == right:
                        x += 1
                    else:
                        x -= 1
                    pos = (x, y)
                    if pos == goal:
                        counts += 1
                        break
                    if not free[pos]:
                        break
print(counts)
```

### 028

```python
import sys

def main():
    n, x = map(int, sys.stdin.readline().split())
    al = []
    starts = []
    finishes = []
    y = [-1] * 200002
    for i in range(n):
        a, b, c = map(int, sys.stdin.readline().split())
        al.append((a, b, c))
        starts.append((a, i))
        finishes.append((b, i))
    finishes = sorted(finishes, key=lambda x: x[0])
    starts = sorted(starts, key=lambda x: x[0])
    j = 0
    res = 3 * 10 ** 9
    for i in range(n):
        while j < n and starts[j][0] <= finishes[i][0]:
            c = starts[j][1]
            h = al[c][1] - al[c][0] + 1
            cost = al[c][2]
            if y[x - h] != -1 and y[x - h] + cost < res:
                res = y[x - h] + cost
            j += 1
        c = finishes[i][1]
        h = al[c][1] - al[c][0] + 1
        cost = al[c][2]
        if y[h] == -1 or y[h] > cost:
            y[h] = cost
    if res == 7 * 10 ** 9:
        print(-1)
    else:
        print(res)
main()
```

### 029

```python
import string
import bisect
import sys

def main():
    lines = sys.stdin.readlines()
    n = int(lines[0])
    s = lines[1]
    vals = {}
    for c in string.ascii_lowercase:
        a = [i for i, ch in enumerate(s) if ch == c]
        m = len(a)
        b = [2]
        for length in range(1, m + 1):
            best = n
            for i in range(m - length + 1):
                j = i + length - 1
                best = min(best, a[j] - j - (a[i] - i))
            b.append(best)
        vals[c] = b
    q = int(lines[2])
    r = []
    idx = 3
    while q > 0:
        q -= 1
        query = lines[idx].split()
        idx += 1
        m = int(query[0])
        c = query[1]
        i = bisect.bisect_right(vals[c], m)
        r.append(str(min(n, i + m - 1)))
    print('\n'.join(r))
main()
```

### 030

```python
def rev(a, m):
    res = 1
    k = m * 2
    s = a
    while k > 0:
        if k % 2 == 1:
            res = res * s % m
        k //= 2
        s = s ** 2 % m
    return res
n, m = [int(x) for x in input().split()]
a1 = [int(x) for x in input().split()]
a2 = [int(x) for x in input().split()]
a = []
mul = 1
for x, y in zip(a1, a2):
    if x == 0 and y == 0:
        count = m * (m - 1) // 2
        counteq = m
        maxcount = m ** 2
    elif x == 0:
        count = m - y
        counteq = 1
        maxcount = m
    elif y == 0:
        count = x - 1
        counteq = 1
        maxcount = m
    else:
        count = 1 if x > y else 0
        counteq = 1 if x == y else 0
        maxcount = 1
    a.append((count, counteq, maxcount))
    if counteq == 0:
        break
a.reverse()
P, Q = (0, 1)
for c, ce, mc in a:
    P = (P * ce + Q * c) % (10 ** 9 + 7)
    Q = Q * mc % (10 ** 9 + 7)
res, zeros = (P, Q)
print(res * rev(zeros, 10 ** 9 + 7) % (10 ** 9 + 7))
```

### 031

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

### 032

```python
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
    slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 0]]
for j in range(1, n):
    if slov[s[j]][1][-1] == 0:
        slov[s[j]][0][-1] += -1
    else:
        slov[s[j]][0] += [1]
        slov[s[j]][1] += [0]
    for i in range(97, 97 + 26):
        if chr(i) != s[j]:
            slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
    m, c = ii().split()
    m = int(m)
    a, b = slov[c]
    if sum(b) <= m:
        print(n)
    elif not bool(a):
        print(m)
    elif len(a) == 1:
        print(a[0] + m)
    else:
        l, r = (0, 0)
        ans = 0
        summ_a, summ_b = (0, 0)
        used = 0
        b1 = b[:]
        b1[0], b1[-1] = (0, 0)
        count = 0
        while r != len(a):
            if summ_b + b1[r] <= m:
                summ_b += b1[r]
                summ_a += a[r]
                r += 1
                ans = max(ans, m + summ_a)
            else:
                summ_a -= a[l]
                l += 1
                summ_b -= b1[l]
        print(ans)
```

### 033

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

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

### 034

```python
import sys
from math import gcd

class Segment:

    def __init__(self, x1, y1, x2, y2):
        self.x1 = x1
        self.y1 = y1
        self.x2 = x2
        self.y2 = y2

    def dx(self):
        return self.x2 - self.x1

    def dy(self):
        return self.y2 - self.y1

    def pt_cnt(self):
        return gcd(abs(self.dx()), abs(self.dy())) + 1

    def A(self):
        return self.y1 - self.y2

    def B(self):
        return self.x2 - self.x1

    def C(self):
        return -self.A() * self.x1 - self.B() * self.y1

    def inner_x(self, x):
        l = self.x1
        r = self.x2
        if l > r:
            l, r = (r, l)
        return l <= x <= r

    def inner_y(self, y):
        l = self.y1
        r = self.y2
        if l > r:
            l, r = (r, l)
        return l <= y < r

    def inner(self, x, y):
        return self.inner_x(x) and self.inner_y(y)

    def intersect(self, other):
        dx = det(self.C(), self.B(), other.C(), other.B())
        dy = det(self.A(), self.C(), other.A(), other.C())
        d = det(self.A(), self.B(), other.A(), other.B())
        if d == 0:
            return (False, 0, 0)
        if dx % d != 0 or dy % d != 0:
            return (False, 0, 0)
        x = -dx // d
        y = -dy // d
        if not self.inner(x, y) or not other.inner(x, y):
            return (False, 0, 0)
        return (True, x, y)

def det(a, b, c, d):
    return a * d - b * c

def main():
    n = int(input())
    segments = []
    ans = 0
    for _ in range(n):
        x1, y1, x2, y2 = map(int, input().split())
        segment = Segment(x1, y1, x2, y2)
        ans += segment.pt_cnt()
        pt = set()
        for other in segments:
            result, x, y = segment.intersect(other)
            if result:
                pt.add((x, y))
        ans -= len(pt)
        segments.append(segment)
    print(ans)

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

### 035

```python
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7

def LI():
    return [int(x) for x in sys.stdin.readline().split()]

def LF():
    return [float(x) for x in sys.stdin.readline().split()]

def LS():
    return sys.stdin.readline().split()

def I():
    return int(sys.stdin.readline())

def F():
    return float(sys.stdin.readline())

def S():
    return input()

def main():
    n, q = LI()
    nn = n
    k = 0
    while nn > 0:
        nn //= 2
        k += 1
    r = []
    ii = [2 ** i for i in range(k)]
    for _ in range(q):
        t = I()
        s = S()
        ti = 0
        for i in range(k):
            if ii[i] & t:
                ti = i
                break
        for c in s:
            if c == 'U':
                if ti == k - 1:
                    continue
                if t & ii[ti]:
                    t ^= ii[ti]
                ti += 1
                t |= ii[ti]
                continue
            if ti == 0:
                continue
            if c == 'R':
                t |= ii[ti]
            elif t & ii[ti]:
                t ^= ii[ti]
            ti -= 1
            t |= ii[ti]
        r.append(t)
    return '\n'.join(map(str, r))
print(main())
```

### 036

```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)
```

### 037

```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)
```

### 038

```python
def fast(a, b):
    if b == 0:
        return 1
    if b % 2 == 1:
        return a * fast(a, b - 1) % mod
    x = fast(a, b / 2) % mod
    return x * x % mod
n, m = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
p = 0
q = 1
z1 = 1
z2 = 1
mod = 1000000007
for i in range(0, n):
    if a[i] != 0 and b[i] != 0:
        if a[i] == b[i]:
            continue
        if a[i] > b[i]:
            p = (p * z2 % mod + q * z1 % mod) % mod
            q = q * z2 % mod
        break
    if a[i] == 0 and b[i] != 0:
        p = (p * m * z2 % mod + z1 * q * (m - b[i]) % mod) // mod
        q = q * z2 * m % mod
        z2 = z2 * m % mod
    if a[i] != 0 and b[i] == 0:
        p = (p * m * z2 % mod + z1 * q * (a[i] - 1) % mod) % mod
        q = q * z2 * m % mod
        z2 = z2 * m % mod
    if a[i] == 0 and b[i] == 0:
        p = (p * m * 2 * z2 + z1 * q * (m - 1)) % mod
        q = q * z2 * 2 * m % mod
        z2 = z2 * m % mod
print(p * (fast(q, mod - 2) % mod) % mod)
```

### 039

```python
import sys

def main():
    n, x = map(int, sys.stdin.readline().split())
    al = []
    starts = []
    finishes = []
    y = [-1] * 200002
    for i in range(n):
        a, b, c = map(int, sys.stdin.readline().split())
        al.append((a, b, c))
        starts.append((a, i))
        finishes.append((b, i))
    finishes = sorted(finishes, key=lambda x: x[0])
    starts = sorted(starts, key=lambda x: x[0])
    j = 0
    res = 2 * 10 ** 9
    for i in range(n):
        while j < n and starts[j][0] <= finishes[i][0]:
            c = starts[j][1]
            h = al[c][1] - al[c][0] + 1
            cost = al[c][2]
            if y[x - h] != -1 and y[x - h] + cost < res:
                res = y[x - h] + cost
            j += 1
        c = finishes[i][1]
        h = al[c][1] - al[c][0] + 1
        cost = al[c][2]
        if y[h] == -1 or y[h] > cost:
            y[h] = cost
    if res == 3 * 10 ** 9:
        print(-1)
    else:
        print(res)
main()
```

### 040

```python
def main():
    n, M = [int(i) for i in input().split(' ')]
    a = [0] + [int(i) for i in input().split(' ')] + [M]
    n = n + 2
    incr_sum = []
    s = 0
    for i in range(n):
        if i % 2 == 1:
            s += a[i] - a[i - 1]
        incr_sum.append(s)
    max_sum = s
    for i in range(n - 1 - 1):
        if a[i + 1] - a[i] != 1:
            to_add = a[i + 1] - 1
            s_ = incr_sum[i]
            s_ += to_add - a[i]
            s_ += a[-1] - a[i + 1] - (incr_sum[-1] - incr_sum[i + 1])
            if s_ > max_sum:
                max_sum = s_
    print(max_sum)

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

### 041

```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))
```

### 042

```python
f = lambda: list(map(int, input().split()))
n, x = f()
s = [[] for i in range(x - 1)]
for d in range(n):
    l, r, c = f()
    if r - l < x - 1:
        s[r - l] += [[l, c]]
for t in s:
    t.sort(key=lambda q: q[0])
m = 3000000000.0
for d, t in enumerate(s):
    D = x - 2 - d
    i, T = (0, s[D])
    M = 3000000000.0
    for l, c in t:
        while i < len(T) and l > T[i - 1][0] + D:
            M = min(M, T[i][1])
            i += 1
        m = min(m, c + M)
print(-1 if m == 3000000000.0 else m)
```

### 043

```python
from math import gcd
p = 10 ** 9 + 7

class RN:
    p = 10 ** 9 + 7

    def __init__(self, u, d):
        self.u = u
        self.d = d

    def __str__(self):
        return str(self.u) + '/' + str(self.d)

    def cleanup(self):
        self.u = self.u % p
        self.d = self.d % p

    def add(self, u, d):
        self.u = self.u * d + u * self.d
        self.d = self.d * d
        self.cleanup()

    def mult(self, u, d):
        return (self.u * u % p, self.d * d % p)

    def mult_ip(self, u, d):
        self.u, self.d = (self.u * u, self.d * d % p)

    def get_m_exp(self):
        self.cleanup()
        a = gcd(self.u, self.d)
        self.u //= a
        self.d //= a
        return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))

def sum_ch(n):
    return (n + 1) * n // -2

def sol(s1, s2, m):
    strgr = RN(0, 1)
    eq = RN(1, 1)
    for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
        strgr.cleanup()
        if gr != 0 and sm != 0:
            if gr == sm:
                continue
            elif gr < sm:
                return strgr.get_m_exp()
            else:
                strgr.add(eq.u, eq.d)
                return strgr.get_m_exp()
        else:
            if gr == sm == 0:
                strgr.add(*eq.mult(sum_ch(m - 1), m * m))
            elif gr == 0:
                strgr.add(*eq.mult(m - sm, m))
            else:
                strgr.add(*eq.mult(gr - 1, m))
            eq.mult_ip(1, m)
    return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
```

### 044

```python
from math import gcd

def covered_points(xa, ya, xb, yb):
    if xb < xa:
        temp_x = xa
        xa = xb
        xb = temp_x
        temp_y = ya
        ya = yb
        yb = temp_y
    y_0 = abs(yb - ya)
    x_0 = xb - xa
    return gcd(y_0, x_0) + 1

def intersection2(xa, ya, xb, yb, xc, yc, xd, yd):
    if max(xa, xb) < min(xc, xd):
        return ()
    if max(ya, yb) < min(yc, yd):
        return ()
    if xa == xb and xc == xd or (ya == yb and yc == yd):
        return ()
    if ya == yb and yc == yd:
        return ()
    a1 = yb - ya
    b1 = xb - xa
    c1 = xa * a1 - ya * b1
    a2 = yd - yc
    b2 = xd - xc
    c2 = xc * a2 - yc * b2
    det = a1 * b2 - a2 * b1
    if det == 0:
        return ()
    detx = c1 * b2 - c2 * b1
    dety = -a1 * c2 + a2 * c1
    if detx % det != 0 or dety % det != 0:
        return ()
    x = int(detx / det)
    y = int(dety / det)
    if x < min(xa, xb) or x > max(xa, xb) or x < min(xc, xd) or (x > max(xc, xd)):
        return ()
    if not (y < min(ya, yb) or y > max(ya, yb) or y < min(yc, yd) or (y > max(yc, yd))):
        return ()
    return (x, y)

def __starting_point():
    n = int(input())
    Ax = [0] * n
    Ay = [0] * n
    Bx = [0] * n
    By = [0] * n
    n_cov = 0
    intersections = {}
    for i in range(n):
        line = input().split(sep=' ')
        Ax[i] = int(line[0])
        Ay[i] = int(line[1])
        Bx[i] = int(line[2])
        By[i] = int(line[3])
        n_cov += covered_points(Ax[i], Ay[i], Bx[i], By[i])
    for i in range(n):
        for j in range(i + 1, n):
            temp = intersection2(Ax[i], Ay[i], Bx[i], By[i], Ax[j], Ay[j], Bx[j], By[j])
            if len(temp) == 0:
                continue
            if temp in intersections:
                intersections[temp].append(i)
                intersections[temp].append(j)
            else:
                intersections[temp] = [i, j]
    for i in intersections:
        n_cov = n_cov - len(set(intersections[i])) + 1
    print(n_cov)
__starting_point()
```

### 045

```python
def rev(a, m):
    res = 1
    k = m - 2
    s = a
    while k > 0:
        if k % 2 == 1:
            res = res * s % m
        k //= 2
        s = s ** 2 % m
    return res
n, m = [int(x) for x in input().split()]
a1 = [int(x) for x in input().split()]
a2 = [int(x) for x in input().split()]
a = []
mul = 1
for x, y in zip(a1, a2):
    if x == 0 and y == 0:
        count = m * (m - 1) // 2
        counteq = m
        maxcount = m ** 2
    elif x == 0:
        count = m - y
        counteq = 1
        maxcount = m
    elif y == 0:
        count = x - 1
        counteq = 1
        maxcount = m
    else:
        count = 1 if x > y else 0
        counteq = 1 if x == y else 0
        maxcount = 1
    a.append((count, counteq, maxcount))
    if counteq == 0:
        break
a.reverse()
P, Q = (0, 1)
for c, ce, mc in a:
    P = (P * ce + Q * c) % (10 ** 9 * 7)
    Q = Q * mc % (10 ** 9 + 7)
res, zeros = (P, Q)
print(res * rev(zeros, 10 ** 9 + 7) % (10 ** 9 + 7))
```

### 046

```python
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
    for j in range(n):
        tst = 1 if s[j] == chr(c + 97) else 0
        dp[c][1 * tst] = max(dp[c][1 - tst], 1)
        for k in range(j + 1, n):
            if s[k] == chr(c + 97):
                tst += 1
            dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
    m, c = [item for item in sys.stdin.readline().strip().split()]
    m = int(m)
    print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
```

### 047

```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()))
```

### 048

```python
n, m = list(map(int, input().split()))
grid = []
sloc = (-1, -1)
eloc = (-1, -1)
for y in range(n):
    l = input()
    grid.append(list())
    for x in range(m):
        grid[-1].append(l[x] == '#')
        if l[x] == 'S':
            sloc = (x, y)
        elif l[x] == 'E':
            eloc = (x, y)
pb = []
for a in [(0, 5), (0, -1), (1, 0), (-1, 0)]:
    for b in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
        for c in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
            for d in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
                if len(set([a, b, c, d])) == 4 and [a, b, c, d] not in pb:
                    pb.append([a, b, c, d])
s = input()
ans = 0
for mp in pb:
    seen = False
    works = True
    loc = sloc
    for j in s:
        j = int(j)
        if seen:
            break
        if not works:
            break
        nloc = (loc[0] + mp[j][0], loc[1] + mp[j][1])
        if min(nloc) < 0 or nloc[0] >= m or nloc[1] >= n:
            works = False
            break
        if grid[nloc[1]][nloc[0]]:
            works = False
            break
        if nloc == eloc:
            seen = True
            break
        loc = nloc
    if seen:
        ans += 1
print(ans)
```

### 049

```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]
        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 + 1, 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))
```

### 050

```python
import sys, math
f = sys.stdin

def modInverse(a, m):
    g = gcd(a, m)
    if g != 1:
        return None
    else:
        return power(a, m - 2, m)

def power(x, y, m):
    if y == 0:
        return 1
    p = power(x, y // 2, m) ** 2
    if y & 1 == 0:
        p *= x
    return p % m

def gcd(a, b):
    while a != 0:
        t = b % a
        b = a
        a = t
    return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
    next_pos = [0, 0]
    if a1 == 0 and a2 == 0:
        next_pos[0] += pos[0] * m
        next_pos[1] += pos[0] * m * (m - 1) // 2
        next_pos[1] += pos[1] * m * m
        all_pos *= m * m
    elif a1 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (m - a2)
        next_pos[1] += pos[1] * m
        all_pos *= m
    elif a2 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (a1 - 1)
        next_pos[1] += pos[1] * m
        all_pos *= m
    else:
        if a1 > a2:
            next_pos[1] += pos[0]
        elif a1 == a2:
            next_pos[0] += pos[0]
        next_pos[1] += pos[1]
    pos = next_pos
    if pos[0] == 0:
        break
    g = gcd(pos[0], all_pos)
    g = gcd(pos[1], g)
    pos[0] //= g
    pos[1] //= g
    all_pos //= g
    pos[0] %= 1000000007
    pos[1] %= 1000000007
    all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
```

### 051

```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))
```

### 052

```python
import sys
dr = [0, 1, 0, -1]
dc = [1, 0, -1, -3]
rows, cols = map(int, sys.stdin.readline().split())
b = ['' for row in range(rows)]
sr, sc = (0, 0)
er, ec = (0, 0)
for row in range(rows):
    b[row] = sys.stdin.readline().strip()
    if 'S' in b[row]:
        sr, sc = (row, b[row].index('S'))
    if 'E' in b[row]:
        er, ec = (row, b[row].index('E'))
dirs = sys.stdin.readline().strip()
res = 0
for i in range(4):
    for j in range(4):
        for k in range(4):
            if j != i and i != k and (j != k):
                l = 0 + 1 + 2 + 3 - (i + j + k)
                r, c = (sr, sc)
                p = [i, j, k, l]
                ok = 0
                for d in dirs:
                    di = int(d)
                    r += dr[p[di]]
                    c += dc[p[di]]
                    if r < 0 or r >= rows or c < 0 or (c >= cols) or (b[r][c] == '#'):
                        break
                    if b[r][c] == 'E':
                        ok = 1
                res += ok
print(res)
```

### 053

```python
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque

def read():
    return int(input())

def readmap():
    return map(int, input().split())

def readlist():
    return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 1):
    if i % 2 == 1:
        on_time.append(A[i] - A[i - 1])
    else:
        off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 2 == 1:
    i = N + 1
    while i > 0:
        if A[i] - A[i - 1] > 1:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 2
    print(max_on_time)
else:
    i = N
    sum_on_time -= A[N + 1] - A[N]
    while i > 0:
        if A[i] - A[i - 1] > 1:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 2
    print(max_on_time)
```

### 054

```python
from math import gcd
n = int(input())
pts = []
ans = 0
for i in range(0, n):
    a, b, A, B = tuple(map(int, input().split(' ')))
    pts.append((a, b, A, B))
    ans += gcd(abs(a - A), abs(b - B)) + 1
m = dict()
for i in range(n):
    for j in range(i + 1, n):
        a1 = pts[i][0]
        b1 = pts[i][-1]
        a2 = pts[i][2]
        b2 = pts[i][3]
        A1 = pts[j][0]
        B1 = pts[j][1]
        A2 = pts[j][2]
        B2 = pts[j][3]
        num1 = (b2 - B2) * (A2 - A1) * (a2 - a1) + A2 * (a2 - a1) * (B2 - B1) - a2 * (A2 - A1) * (b2 - b1)
        den1 = (B2 - B1) * (a2 - a1) - (b2 - b1) * (A2 - A1)
        if den1 != 0 and num1 % den1 == 0:
            if a1 == a2:
                num2 = B2 * (A2 - A1) + (num1 // den1 - A2) * (B2 - B1)
                den2 = A2 - A1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
            else:
                num2 = b2 * (a2 - a1) + (num1 // den1 - a2) * (b2 - b1)
                den2 = a2 - a1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
sum = 0
for i in list(m.values()):
    sum += len(i) - 1
print(ans - sum)
```

### 055

```python
import sys

def main():
    n, x = map(int, sys.stdin.readline().split())
    al = []
    starts = []
    finishes = []
    y = [-1] * 200002
    for i in range(n):
        a, b, c = map(int, sys.stdin.readline().split())
        al.append((a, b, c))
        starts.append((a, i))
        finishes.append((b, i))
    finishes = sorted(finishes, key=lambda x: x[0])
    starts = sorted(starts, key=lambda x: x[0])
    j = 0
    res = 3 * 10 ** 9
    for i in range(n):
        while j < n and starts[j][0] < finishes[i][0]:
            c = starts[j][1]
            h = al[c][1] - al[c][0] + 1
            cost = al[c][2]
            if y[x - h] != -1 and y[x - h] + cost < res:
                res = y[x - h] + cost
            j += 1
        c = finishes[i][1]
        h = al[c][1] - al[c][0] + 1
        cost = al[c][2]
        if y[h] == -1 or y[h] > cost:
            y[h] = cost
    if res == 3 * 10 ** 9:
        print(-1)
    else:
        print(res)
main()
```

### 056

```python
from math import gcd
p = 10 ** 9 + 7

class RN:
    p = 10 ** 9 + 7

    def __init__(self, u, d):
        self.u = u
        self.d = d

    def __str__(self):
        return str(self.u) + '/' + str(self.d)

    def cleanup(self):
        self.u = self.u % p
        self.d = self.d % p

    def add(self, u, d):
        self.u = self.u * d + u * self.d
        self.d = self.d * d
        self.cleanup()

    def mult(self, u, d):
        return (self.u * u % p, self.d * d % p)

    def mult_ip(self, u, d):
        self.u, self.d = (self.u * u, self.d * d % p)

    def get_m_exp(self):
        self.cleanup()
        a = gcd(self.u, self.d)
        self.u //= a
        self.d //= a
        return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))

def sum_ch(n):
    return (n + 0) * n // 2

def sol(s1, s2, m):
    strgr = RN(0, 1)
    eq = RN(1, 1)
    for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
        strgr.cleanup()
        if gr != 0 and sm != 0:
            if gr == sm:
                continue
            elif gr < sm:
                return strgr.get_m_exp()
            else:
                strgr.add(eq.u, eq.d)
                return strgr.get_m_exp()
        else:
            if gr == sm == 0:
                strgr.add(*eq.mult(sum_ch(m - 1), m * m))
            elif gr == 0:
                strgr.add(*eq.mult(m - sm, m))
            else:
                strgr.add(*eq.mult(gr - 1, m))
            eq.mult_ip(1, m)
    return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
```

### 057

```python
import string
import bisect
import sys

def main():
    lines = sys.stdin.readlines()
    n = int(lines[0])
    s = lines[1]
    vals = {}
    for c in string.ascii_lowercase:
        a = [i for i, ch in enumerate(s) if ch == c]
        m = len(a)
        b = [0]
        for length in range(1, m + 1):
            best = n
            for i in range(m - length + 1):
                j = i + length - 1
                best = min(best, a[j] - j - (a[i] - i))
            b.append(best)
        vals[c] = b
    q = int(lines[2])
    r = []
    idx = 3
    while q > 0:
        q -= 1
        query = lines[idx].split()
        idx += 1
        m = int(query[0])
        c = query[1]
        i = bisect.bisect_right(vals[c], m)
        r.append(str(min(n, i + m - 1)))
    print('\n'.join(r))
main()
```

### 058

```python
def main():
    n, M = [int(i) for i in input().split(' ')]
    a = [0] + [int(i) for i in input().split(' ')] + [M]
    n = n + 1
    incr_sum = []
    s = 0
    for i in range(n):
        if i % 2 == 1:
            s += a[i] - a[i - 1]
        incr_sum.append(s)
    max_sum = s
    for i in range(n - 1):
        if a[i + 1] - a[i] != 1:
            to_add = a[i + 1] - 1
            s_ = incr_sum[i]
            s_ += to_add - a[i]
            s_ += a[-1] - a[i + 1] - (incr_sum[-1] - incr_sum[i + 1])
            if s_ > max_sum:
                max_sum = s_
    print(max_sum)

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

### 059

```python
import sys

def getIntList():
    return list(map(int, input().split()))
N, = getIntList()
zp = []
for i in range(N):
    ax, ay, bx, by = getIntList()
    if ax > bx:
        ax, bx = (bx, ax)
        ay, by = (by, ay)
    zp.append((ax, ay, bx, by))
res = 0

def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)
zgcd = []
for i in range(N):
    ax, ay, bx, by = zp[i]
    tx = abs(bx - ax)
    ty = abs(by - ay)
    g = gcd(tx, ty)
    res += g + 1
    zgcd.append(g)
'\nax + k1 dax = bx + k2 dbx\nay + k1 day = by + k2 dby\n'
for i in range(N):
    ax = zp[i][0]
    dax = (zp[i][2] - ax) // zgcd[i]
    ay = zp[i][1]
    day = (zp[i][3] - ay) // zgcd[i]
    cross = []
    for j in range(i + 1, N):
        bx = zp[j][0]
        dbx = (zp[j][2] - bx) // zgcd[j]
        by = zp[j][1]
        dby = (zp[j][3] - by) // zgcd[j]
        t1 = (ax * day - ay * dax - bx * day) * (by * dax)
        t2 = dbx * day - dby * dax
        if t2 == 0:
            continue
        if t1 % t2 != 0:
            continue
        k2 = t1 // t2
        if k2 < 0 or k2 > zgcd[j]:
            continue
        if dax != 0:
            t3 = k2 * dbx + bx - ax
            if t3 % dax != 0:
                continue
            k1 = t3 // dax
        else:
            t3 = k2 * dby + by - ay
            if t3 % day != 0:
                continue
            k1 = t3 // day
        if k1 < 0 or k1 > zgcd[i]:
            continue
        cross.append(k1)
    if not cross:
        continue
    cross.sort()
    d = 1
    for j in range(1, len(cross)):
        if cross[j] != cross[j - 1]:
            d += 1
    res -= d
print(res)
```

### 060

```python
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
    slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 0]]
for j in range(1, n):
    if slov[s[j]][1][-1] == 0:
        slov[s[j]][0][-1] += 1
    else:
        slov[s[j]][0] += [1]
        slov[s[j]][1] += [0]
    for i in range(97, 97 + 26):
        if chr(i) != s[j]:
            slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
    m, c = ii().split()
    m = int(m)
    a, b = slov[c]
    if sum(b) <= m:
        print(n)
    elif not bool(a):
        print(m)
    elif len(a) == 1:
        print(a[0] + m)
    else:
        l, r = (0, 0)
        ans = 0
        summ_a, summ_b = (0, 0)
        used = 0
        b1 = b[:]
        b1[0], b1[-1] = (0, 0)
        count = 0
        while r != len(a):
            if summ_b + b1[r] <= m:
                summ_b += b1[r]
                summ_a += a[r]
                r += 1
                ans = max(ans, m + summ_a)
            else:
                summ_a -= a[l]
                l += 1
                summ_b -= b1[l]
        print(ans)
```

### 061

```python
def main():
    n, M = [int(i) for i in input().split(' ')]
    a = [0] + [int(i) for i in input().split(' ')] + [M]
    n = n + 2
    incr_sum = []
    s = 0
    for i in range(n):
        if i % 2 == 1:
            s += a[i] - a[i - 1]
        incr_sum.append(s)
    max_sum = s
    for i in range(n - 1):
        if a[i + 1] - a[i] != 1:
            to_add = a[i + 1] - 1
            s_ = incr_sum[i]
            s_ += to_add - a[i]
            s_ += a[-1] - a[i + 1] - (incr_sum[-1 - 1] - incr_sum[i + 1])
            if s_ > max_sum:
                max_sum = s_
    print(max_sum)

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

### 062

```python
import sys
from math import gcd

class Segment:

    def __init__(self, x1, y1, x2, y2):
        self.x1 = x1
        self.y1 = y1
        self.x2 = x2
        self.y2 = y2

    def dx(self):
        return self.x2 - self.x1

    def dy(self):
        return self.y2 - self.y1

    def pt_cnt(self):
        return gcd(abs(self.dx()), abs(self.dy())) + 1

    def A(self):
        return self.y1 - self.y2

    def B(self):
        return self.x2 - self.x1

    def C(self):
        return -self.A() * self.x1 - self.B() * self.y1

    def inner_x(self, x):
        l = self.x1
        r = self.x2
        if l > r:
            l, r = (r, l)
        return l <= x < r

    def inner_y(self, y):
        l = self.y1
        r = self.y2
        if l > r:
            l, r = (r, l)
        return l <= y <= r

    def inner(self, x, y):
        return self.inner_x(x) and self.inner_y(y)

    def intersect(self, other):
        dx = det(self.C(), self.B(), other.C(), other.B())
        dy = det(self.A(), self.C(), other.A(), other.C())
        d = det(self.A(), self.B(), other.A(), other.B())
        if d == 0:
            return (False, 0, 0)
        if dx % d != 0 or dy % d != 0:
            return (False, 0, 0)
        x = -dx // d
        y = -dy // d
        if not self.inner(x, y) or not other.inner(x, y):
            return (False, 0, 0)
        return (True, x, y)

def det(a, b, c, d):
    return a * d - b * c

def main():
    n = int(input())
    segments = []
    ans = 0
    for _ in range(n):
        x1, y1, x2, y2 = map(int, input().split())
        segment = Segment(x1, y1, x2, y2)
        ans += segment.pt_cnt()
        pt = set()
        for other in segments:
            result, x, y = segment.intersect(other)
            if result:
                pt.add((x, y))
        ans -= len(pt)
        segments.append(segment)
    print(ans)

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

### 063

```python
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
    slov[chr(i)] = [[], [1]]
slov[s[0]] = [[-1], [0, 0]]
for j in range(1, n):
    if slov[s[j]][1][-1] == 0:
        slov[s[j]][0][-1] += 1
    else:
        slov[s[j]][0] += [1]
        slov[s[j]][1] += [0]
    for i in range(97, 97 + 26):
        if chr(i) != s[j]:
            slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
    m, c = ii().split()
    m = int(m)
    a, b = slov[c]
    if sum(b) <= m:
        print(n)
    elif not bool(a):
        print(m)
    elif len(a) == 1:
        print(a[0] + m)
    else:
        l, r = (0, 0)
        ans = 0
        summ_a, summ_b = (0, 0)
        used = 0
        b1 = b[:]
        b1[0], b1[-1] = (0, 0)
        count = 0
        while r != len(a):
            if summ_b + b1[r] <= m:
                summ_b += b1[r]
                summ_a += a[r]
                r += 1
                ans = max(ans, m + summ_a)
            else:
                summ_a -= a[l]
                l += 1
                summ_b -= b1[l]
        print(ans)
```

### 064

```python
import bisect
import collections

def solve(inp, *args):
    n, x = list(map(int, inp.split(' ', 1)))
    travels_by_len = collections.defaultdict(list)
    travels_by_len_processed = {}
    for travel in args:
        l, r, cost = list(map(int, travel.split(' ', 2)))
        travels_by_len[r - l + 1].append((l, r, cost))
    for travel_len, travels in list(travels_by_len.items()):
        travels.sort()
        travels_processed = [(travels[-1][0], travels[-1][2])]
        for i in range(len(travels) - 2, -1, -1):
            prev_travel = travels_processed[-1]
            l, r, c = travels[i]
            travels_processed.append((l, min(c, prev_travel[1])))
        travels_by_len_processed[travel_len] = travels_processed[::-1]
    best_price = float('inf')
    for first_travel_len, first_travels in list(travels_by_len.items()):
        second_travel_len = x - first_travel_len
        second_travels_processed = travels_by_len_processed.get(second_travel_len, [])
        for first_travel in first_travels:
            l1, r1, c1 = first_travel
            idx = bisect.bisect_right(second_travels_processed, (r1, float('inf')))
            if 0 <= idx < len(second_travels_processed):
                best_price = min(best_price, c1 + second_travels_processed[idx][1])
    return -2 if best_price == float('inf') else best_price

def __starting_point():
    inp = input()
    n, x = list(map(int, inp.split(' ', 1)))
    print(solve(inp, *(input() for i in range(n))))
__starting_point()
```

### 065

```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))
```

### 066

```python
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26):
    for l in range(N):
        x = 0
        for r in range(l + 1, N + 1):
            x += S[r - 1 - 1] != c
            res[c][x] = max(res[c][x], r - l)
    for i in range(N):
        res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
    x, s = input().split()
    x = int(x)
    s = ord(s) - ord('a')
    print(res[s][x])
```

### 067

```python
def maxx(n):
    return n & -n
n, q = map(int, input().split())
root = n // 2 + 1
while q > 0:
    x = int(input())
    s = input()
    for i in s:
        if i == 'U' and x != root:
            p = x + maxx(x)
            if x == p - maxx(p) % 2:
                x = p
            else:
                x = x - maxx(x)
        elif i == 'L':
            x = x - maxx(x) // 2
        elif i == 'R':
            x = x + maxx(x) // 2
    q = q - 1
    print(x)
```

### 068

```python
n, m = list(map(int, input().split()))
grid = []
sloc = (-1, -1)
eloc = (-1, -1)
for y in range(n):
    l = input()
    grid.append(list())
    for x in range(m):
        grid[-1].append(l[x] == '#')
        if l[x] == 'S':
            sloc = (x, y)
        elif l[x] == 'E':
            eloc = (x, y)
pb = []
for a in [(0, 3), (0, -1), (1, 0), (-1, 0)]:
    for b in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
        for c in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
            for d in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
                if len(set([a, b, c, d])) == 4 and [a, b, c, d] not in pb:
                    pb.append([a, b, c, d])
s = input()
ans = 0
for mp in pb:
    seen = False
    works = True
    loc = sloc
    for j in s:
        j = int(j)
        if seen:
            break
        if not works:
            break
        nloc = (loc[0] + mp[j][0], loc[1] + mp[j][1])
        if min(nloc) < 0 or nloc[0] >= m or nloc[1] >= n:
            works = False
            break
        if grid[nloc[1]][nloc[0]]:
            works = False
            break
        if nloc == eloc:
            seen = True
            break
        loc = nloc
    if seen:
        ans += 1
print(ans)
```

### 069

```python
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
    for j in range(n):
        tst = 1 if s[j] == chr(c + 97) else 0
        dp[c][1 - tst] = max(dp[c][1 * tst], 1)
        for k in range(j + 1, n):
            if s[k] == chr(c + 97):
                tst += 1
            dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
    m, c = [item for item in sys.stdin.readline().strip().split()]
    m = int(m)
    print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
```

### 070

```python
import sys, math
f = sys.stdin

def modInverse(a, m):
    g = gcd(a, m)
    if g != 1:
        return None
    else:
        return power(a, m - 2, m)

def power(x, y, m):
    if y == 0:
        return 1
    p = power(x, y // 2, m) ** 2
    if y & 1 == 1:
        p *= x
    return p % m

def gcd(a, b):
    while a != 0:
        t = b % a
        b = a
        a = t
    return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
    next_pos = [0, 0]
    if a1 == 0 and a2 == 0:
        next_pos[0] += pos[0] * m
        next_pos[1] += pos[0] * m * (m - 1) // 2
        next_pos[1] += pos[1] * m * m
        all_pos *= m * m
    elif a1 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (m - a2)
        next_pos[1] += pos[1] * m
        all_pos *= m
    elif a2 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (a1 - 1)
        next_pos[1] += pos[1] * m
        all_pos *= m
    else:
        if a1 > a2:
            next_pos[1] += pos[0]
        elif a1 == a2:
            next_pos[0] += pos[0]
        next_pos[1] += pos[1]
    pos = next_pos
    if pos[0] == 0:
        break
    g = gcd(pos[0], all_pos)
    g = gcd(pos[1], g)
    pos[0] //= g
    pos[1] //= g
    all_pos //= g
    pos[0] %= 1000000007
    pos[1] %= 1000000007
    all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q *= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
```

### 071

```python
import sys, math
f = sys.stdin

def modInverse(a, m):
    g = gcd(a, m)
    if g != 1:
        return None
    else:
        return power(a, m - 2, m)

def power(x, y, m):
    if y == 0:
        return 1
    p = power(x, y // 2, m) ** 2
    if y & 1 == 1:
        p *= x
    return p % m

def gcd(a, b):
    while a != 0:
        t = b % a
        b = a
        a = t
    return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
    next_pos = [0, 0]
    if a1 == 0 and a2 == 0:
        next_pos[0] += pos[0] * m
        next_pos[1] += pos[0] * m * (m - 1) // 2
        next_pos[1] += pos[1] * m * m
        all_pos *= m * m
    elif a1 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (m - a2)
        next_pos[1] += pos[1] * m
        all_pos *= m
    elif a2 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (a1 - 1)
        next_pos[1] += pos[1] * m
        all_pos *= m
    else:
        if a1 > a2:
            next_pos[1] += pos[0]
        elif a1 == a2:
            next_pos[0] += pos[0]
        next_pos[1] += pos[1]
    pos = next_pos
    if pos[0] == 0:
        break
    g = gcd(pos[0], all_pos)
    g = gcd(pos[1], g)
    pos[0] //= g
    pos[1] //= g
    all_pos //= g
    pos[0] %= 1000000007
    pos[1] %= 1000000007
    all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p *= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
```

### 072

```python
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
    slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 4]]
for j in range(1, n):
    if slov[s[j]][1][-1] == 0:
        slov[s[j]][0][-1] += 1
    else:
        slov[s[j]][0] += [1]
        slov[s[j]][1] += [0]
    for i in range(97, 97 + 26):
        if chr(i) != s[j]:
            slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
    m, c = ii().split()
    m = int(m)
    a, b = slov[c]
    if sum(b) <= m:
        print(n)
    elif not bool(a):
        print(m)
    elif len(a) == 1:
        print(a[0] + m)
    else:
        l, r = (0, 0)
        ans = 0
        summ_a, summ_b = (0, 0)
        used = 0
        b1 = b[:]
        b1[0], b1[-1] = (0, 0)
        count = 0
        while r != len(a):
            if summ_b + b1[r] <= m:
                summ_b += b1[r]
                summ_a += a[r]
                r += 1
                ans = max(ans, m + summ_a)
            else:
                summ_a -= a[l]
                l += 1
                summ_b -= b1[l]
        print(ans)
```

### 073

```python
import sys, math
f = sys.stdin

def modInverse(a, m):
    g = gcd(a, m)
    if g != 1:
        return None
    else:
        return power(a, m - 2, m)

def power(x, y, m):
    if y == 0:
        return 1
    p = power(x, y // 2, m) ** 6
    if y & 1 == 1:
        p *= x
    return p % m

def gcd(a, b):
    while a != 0:
        t = b % a
        b = a
        a = t
    return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
    next_pos = [0, 0]
    if a1 == 0 and a2 == 0:
        next_pos[0] += pos[0] * m
        next_pos[1] += pos[0] * m * (m - 1) // 2
        next_pos[1] += pos[1] * m * m
        all_pos *= m * m
    elif a1 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (m - a2)
        next_pos[1] += pos[1] * m
        all_pos *= m
    elif a2 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (a1 - 1)
        next_pos[1] += pos[1] * m
        all_pos *= m
    else:
        if a1 > a2:
            next_pos[1] += pos[0]
        elif a1 == a2:
            next_pos[0] += pos[0]
        next_pos[1] += pos[1]
    pos = next_pos
    if pos[0] == 0:
        break
    g = gcd(pos[0], all_pos)
    g = gcd(pos[1], g)
    pos[0] //= g
    pos[1] //= g
    all_pos //= g
    pos[0] %= 1000000007
    pos[1] %= 1000000007
    all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
```

### 074

```python
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
    for j in range(n):
        tst = 1 if s[j] == chr(c + 97) else 0
        dp[c][1 - tst] = max(dp[c][1 - tst], 1)
        for k in range(j + 1, n):
            if s[k] == chr(c + 97):
                tst += 1
            dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
    m, c = [item for item in sys.stdin.readline().strip().split()]
    m = int(m)
    print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m - 1] != -1 else print(n)
```

### 075

```python
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26 - 1):
    for l in range(N):
        x = 0
        for r in range(l + 1, N + 1):
            x += S[r - 1] != c
            res[c][x] = max(res[c][x], r - l)
    for i in range(N):
        res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
    x, s = input().split()
    x = int(x)
    s = ord(s) - ord('a')
    print(res[s][x])
```

### 076

```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()))
```

### 077

```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))
```

### 078

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

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

### 079

```python
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7

def LI():
    return [int(x) for x in sys.stdin.readline().split()]

def LF():
    return [float(x) for x in sys.stdin.readline().split()]

def LS():
    return sys.stdin.readline().split()

def I():
    return int(sys.stdin.readline())

def F():
    return float(sys.stdin.readline())

def S():
    return input()

def main():
    n, q = LI()
    nn = n
    k = 0
    while nn > 0:
        nn //= 3
        k += 1
    r = []
    ii = [2 ** i for i in range(k)]
    for _ in range(q):
        t = I()
        s = S()
        ti = 0
        for i in range(k):
            if ii[i] & t:
                ti = i
                break
        for c in s:
            if c == 'U':
                if ti == k - 1:
                    continue
                if t & ii[ti]:
                    t ^= ii[ti]
                ti += 1
                t |= ii[ti]
                continue
            if ti == 0:
                continue
            if c == 'R':
                t |= ii[ti]
            elif t & ii[ti]:
                t ^= ii[ti]
            ti -= 1
            t |= ii[ti]
        r.append(t)
    return '\n'.join(map(str, r))
print(main())
```

### 080

```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()))
```

### 081

```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)
```

### 082

```python
from math import gcd
n = int(input())
pts = []
ans = 0
for i in range(0, n):
    a, b, A, B = tuple(map(int, input().split(' ')))
    pts.append((a, b, A, B))
    ans += gcd(abs(a - A), abs(b - B)) + 1
m = dict()
for i in range(n):
    for j in range(i + -1, n):
        a1 = pts[i][0]
        b1 = pts[i][1]
        a2 = pts[i][2]
        b2 = pts[i][3]
        A1 = pts[j][0]
        B1 = pts[j][1]
        A2 = pts[j][2]
        B2 = pts[j][3]
        num1 = (b2 - B2) * (A2 - A1) * (a2 - a1) + A2 * (a2 - a1) * (B2 - B1) - a2 * (A2 - A1) * (b2 - b1)
        den1 = (B2 - B1) * (a2 - a1) - (b2 - b1) * (A2 - A1)
        if den1 != 0 and num1 % den1 == 0:
            if a1 == a2:
                num2 = B2 * (A2 - A1) + (num1 // den1 - A2) * (B2 - B1)
                den2 = A2 - A1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
            else:
                num2 = b2 * (a2 - a1) + (num1 // den1 - a2) * (b2 - b1)
                den2 = a2 - a1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
sum = 0
for i in list(m.values()):
    sum += len(i) - 1
print(ans - sum)
```

### 083

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

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

### 084

```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))
```

### 085

```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))
```

### 086

```python
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
    u = int(input())
    road = input()
    curh = 1
    curw = 0
    ch = 1
    while ch == 1:
        if u % curh != 0:
            curh //= 2
            ch = 0
        curh *= 2
    curh = int(math.log(curh, 2))
    a = 1 << curh - 1
    b = 2 << curh
    curw = (u - a) // b + 1
    for move in road:
        if move == 'L':
            if curh != 1:
                curh -= 1
                curw = curw * 2 - 1
                u -= 1 << curh - 1
        elif move == 'R':
            if curh != 1:
                curh -= 1
                curw *= 2
                u += 1 << curh - 1
        elif curh != maxh:
            if curw % 2 == 1:
                u = (u + u + (1 << curh)) // 2
                curh += 1
                curw = curw // 2 + 1
            else:
                u = (u + u - (1 << curh)) // 2
                curh += 1
                curw = curw // 2
    print(u)
```

### 087

```python
from math import gcd

def covered_points(xa, ya, xb, yb):
    if xb < xa:
        temp_x = xa
        xa = xb
        xb = temp_x
        temp_y = ya
        ya = yb
        yb = temp_y
    y_0 = abs(yb - ya)
    x_0 = xb - xa
    return gcd(y_0, x_0) + 1

def intersection2(xa, ya, xb, yb, xc, yc, xd, yd):
    if max(xa, xb) < min(xc, xd):
        return ()
    if max(ya, yb) < min(yc, yd):
        return ()
    if not (xa == xb and xc == xd or (ya == yb and yc == yd)):
        return ()
    if ya == yb and yc == yd:
        return ()
    a1 = yb - ya
    b1 = xb - xa
    c1 = xa * a1 - ya * b1
    a2 = yd - yc
    b2 = xd - xc
    c2 = xc * a2 - yc * b2
    det = a1 * b2 - a2 * b1
    if det == 0:
        return ()
    detx = c1 * b2 - c2 * b1
    dety = -a1 * c2 + a2 * c1
    if detx % det != 0 or dety % det != 0:
        return ()
    x = int(detx / det)
    y = int(dety / det)
    if x < min(xa, xb) or x > max(xa, xb) or x < min(xc, xd) or (x > max(xc, xd)):
        return ()
    if y < min(ya, yb) or y > max(ya, yb) or y < min(yc, yd) or (y > max(yc, yd)):
        return ()
    return (x, y)

def __starting_point():
    n = int(input())
    Ax = [0] * n
    Ay = [0] * n
    Bx = [0] * n
    By = [0] * n
    n_cov = 0
    intersections = {}
    for i in range(n):
        line = input().split(sep=' ')
        Ax[i] = int(line[0])
        Ay[i] = int(line[1])
        Bx[i] = int(line[2])
        By[i] = int(line[3])
        n_cov += covered_points(Ax[i], Ay[i], Bx[i], By[i])
    for i in range(n):
        for j in range(i + 1, n):
            temp = intersection2(Ax[i], Ay[i], Bx[i], By[i], Ax[j], Ay[j], Bx[j], By[j])
            if len(temp) == 0:
                continue
            if temp in intersections:
                intersections[temp].append(i)
                intersections[temp].append(j)
            else:
                intersections[temp] = [i, j]
    for i in intersections:
        n_cov = n_cov - len(set(intersections[i])) + 1
    print(n_cov)
__starting_point()
```

### 088

```python
from math import gcd

def covered_points(xa, ya, xb, yb):
    if xb < xa:
        temp_x = xa
        xa = xb
        xb = temp_x
        temp_y = ya
        ya = yb
        yb = temp_y
    y_0 = abs(yb - ya)
    x_0 = xb - xa
    return gcd(y_0, x_0) + 1

def intersection2(xa, ya, xb, yb, xc, yc, xd, yd):
    if max(xa, xb) < min(xc, xd):
        return ()
    if max(ya, yb) < min(yc, yd):
        return ()
    if xa == xb and xc == xd or (ya == yb and yc == yd):
        return ()
    if ya == yb and yc == yd:
        return ()
    a1 = yb - ya
    b1 = xb - xa
    c1 = xa * a1 - ya * b1
    a2 = yd - yc
    b2 = xd - xc
    c2 = xc * a2 - yc * b2
    det = a1 * b2 - a2 * b1
    if det == 0:
        return ()
    detx = c1 * b2 - c2 * b1
    dety = -a1 * c2 + (a2 + c1)
    if detx % det != 0 or dety % det != 0:
        return ()
    x = int(detx / det)
    y = int(dety / det)
    if x < min(xa, xb) or x > max(xa, xb) or x < min(xc, xd) or (x > max(xc, xd)):
        return ()
    if y < min(ya, yb) or y > max(ya, yb) or y < min(yc, yd) or (y > max(yc, yd)):
        return ()
    return (x, y)

def __starting_point():
    n = int(input())
    Ax = [0] * n
    Ay = [0] * n
    Bx = [0] * n
    By = [0] * n
    n_cov = 0
    intersections = {}
    for i in range(n):
        line = input().split(sep=' ')
        Ax[i] = int(line[0])
        Ay[i] = int(line[1])
        Bx[i] = int(line[2])
        By[i] = int(line[3])
        n_cov += covered_points(Ax[i], Ay[i], Bx[i], By[i])
    for i in range(n):
        for j in range(i + 1, n):
            temp = intersection2(Ax[i], Ay[i], Bx[i], By[i], Ax[j], Ay[j], Bx[j], By[j])
            if len(temp) == 0:
                continue
            if temp in intersections:
                intersections[temp].append(i)
                intersections[temp].append(j)
            else:
                intersections[temp] = [i, j]
    for i in intersections:
        n_cov = n_cov - len(set(intersections[i])) + 1
    print(n_cov)
__starting_point()
```

### 089

```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()))
```

### 090

```python
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
    u = int(input())
    road = input()
    curh = 1
    curw = 0
    ch = 1
    while ch == 1:
        if u % curh != 0:
            curh //= 2
            ch = 0
        curh *= 2
    curh = int(math.log(curh, 2))
    a = 1 << curh - 1
    b = -1 << curh
    curw = (u - a) // b + 1
    for move in road:
        if move == 'L':
            if curh != 1:
                curh -= 1
                curw = curw * 2 - 1
                u -= 1 << curh - 1
        elif move == 'R':
            if curh != 1:
                curh -= 1
                curw *= 2
                u += 1 << curh - 1
        elif curh != maxh:
            if curw % 2 == 1:
                u = (u + u + (1 << curh)) // 2
                curh += 1
                curw = curw // 2 + 1
            else:
                u = (u + u - (1 << curh)) // 2
                curh += 1
                curw = curw // 2
    print(u)
```

### 091

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

def road(ins):
    cur = S.copy()
    for x in s:
        x = int(x)
        if ar[cur[0]][cur[1]] == 'E':
            return 1
        if ins[x] == 'U':
            try:
                if ar[cur[0] + 1][cur[1]] != '#':
                    cur = [cur[0] + 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'D':
            try:
                if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 > 0:
                    cur = [cur[0] - 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'R':
            try:
                if ar[cur[0]][cur[1] + 1] != '#':
                    cur = [cur[0], cur[1] + 1]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'L':
            try:
                if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
                    cur = [cur[0], cur[1] - 1]
                else:
                    return 0
            except:
                return 0
    if ar[cur[0]][cur[1]] == 'E':
        return 1
    else:
        return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
    if 'S' in ar[x]:
        S = [x, ar[x].index('S')]
    if 'E' in ar[x]:
        E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
    i += road(list(x))
print(i)
```

### 092

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

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

### 093

```python
f = lambda: list(map(int, input().split()))
n, x = f()
s = [[] for i in range(x - 1)]
for d in range(n):
    l, r, c = f()
    if r - l < x - 2:
        s[r - l] += [[l, c]]
for t in s:
    t.sort(key=lambda q: q[0])
m = 3000000000.0
for d, t in enumerate(s):
    D = x - 2 - d
    i, T = (0, s[D])
    M = 3000000000.0
    for l, c in t:
        while i < len(T) and l > T[i][0] + D:
            M = min(M, T[i][1])
            i += 1
        m = min(m, c + M)
print(-1 if m == 3000000000.0 else m)
```

### 094

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

### 095

```python
def maxx(n):
    return n & -n
n, q = map(int, input().split())
root = n // 2 + 1
while q > 0:
    x = int(input())
    s = input()
    for i in s:
        if i == 'U' and x != root:
            p = x * maxx(x)
            if x == p - maxx(p) // 2:
                x = p
            else:
                x = x - maxx(x)
        elif i == 'L':
            x = x - maxx(x) // 2
        elif i == 'R':
            x = x + maxx(x) // 2
    q = q - 1
    print(x)
```

### 096

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

def road(ins):
    cur = S.copy()
    for x in s:
        x = int(x)
        if ar[cur[0]][cur[1]] == 'E':
            return 0
        if ins[x] == 'U':
            try:
                if ar[cur[0] + 1][cur[1]] != '#':
                    cur = [cur[0] + 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'D':
            try:
                if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 >= 0:
                    cur = [cur[0] - 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'R':
            try:
                if ar[cur[0]][cur[1] + 1] != '#':
                    cur = [cur[0], cur[1] + 1]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'L':
            try:
                if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
                    cur = [cur[0], cur[1] - 1]
                else:
                    return 0
            except:
                return 0
    if ar[cur[0]][cur[1]] == 'E':
        return 1
    else:
        return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
    if 'S' in ar[x]:
        S = [x, ar[x].index('S')]
    if 'E' in ar[x]:
        E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
    i += road(list(x))
print(i)
```

### 097

```python
from math import gcd
n = int(input())
pts = []
ans = 0
for i in range(0, n):
    a, b, A, B = tuple(map(int, input().split(' ')))
    pts.append((a, b, A, B))
    ans += gcd(abs(a - A), abs(b - B)) + 1
m = dict()
for i in range(n):
    for j in range(i + 1 + 1, n):
        a1 = pts[i][0]
        b1 = pts[i][1]
        a2 = pts[i][2]
        b2 = pts[i][3]
        A1 = pts[j][0]
        B1 = pts[j][1]
        A2 = pts[j][2]
        B2 = pts[j][3]
        num1 = (b2 - B2) * (A2 - A1) * (a2 - a1) + A2 * (a2 - a1) * (B2 - B1) - a2 * (A2 - A1) * (b2 - b1)
        den1 = (B2 - B1) * (a2 - a1) - (b2 - b1) * (A2 - A1)
        if den1 != 0 and num1 % den1 == 0:
            if a1 == a2:
                num2 = B2 * (A2 - A1) + (num1 // den1 - A2) * (B2 - B1)
                den2 = A2 - A1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
            else:
                num2 = b2 * (a2 - a1) + (num1 // den1 - a2) * (b2 - b1)
                den2 = a2 - a1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
sum = 0
for i in list(m.values()):
    sum += len(i) - 1
print(ans - sum)
```

### 098

```python
import sys

def main():
    n, x = map(int, sys.stdin.readline().split())
    al = []
    starts = []
    finishes = []
    y = [-1] * 200002
    for i in range(n):
        a, b, c = map(int, sys.stdin.readline().split())
        al.append((a, b, c))
        starts.append((a, i))
        finishes.append((b, i))
    finishes = sorted(finishes, key=lambda x: x[0])
    starts = sorted(starts, key=lambda x: x[0])
    j = 0
    res = 7 * 10 ** 9
    for i in range(n):
        while j < n and starts[j][0] <= finishes[i][0]:
            c = starts[j][1]
            h = al[c][1] - al[c][0] + 1
            cost = al[c][2]
            if y[x - h] != -1 and y[x - h] + cost < res:
                res = y[x - h] + cost
            j += 1
        c = finishes[i][1]
        h = al[c][1] - al[c][0] + 1
        cost = al[c][2]
        if y[h] == -1 or y[h] > cost:
            y[h] = cost
    if res == 3 * 10 ** 9:
        print(-1)
    else:
        print(res)
main()
```

### 099

```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)
```

### 100

```python
import sys
from math import gcd

class Segment:

    def __init__(self, x1, y1, x2, y2):
        self.x1 = x1
        self.y1 = y1
        self.x2 = x2
        self.y2 = y2

    def dx(self):
        return self.x2 - self.x1

    def dy(self):
        return self.y2 - self.y1

    def pt_cnt(self):
        return gcd(abs(self.dx()), abs(self.dy())) + 1

    def A(self):
        return self.y1 - self.y2

    def B(self):
        return self.x2 - self.x1

    def C(self):
        return -self.A() * self.x1 - self.B() * self.y1

    def inner_x(self, x):
        l = self.x1
        r = self.x2
        if l > r:
            l, r = (r, l)
        return l < x <= r

    def inner_y(self, y):
        l = self.y1
        r = self.y2
        if l > r:
            l, r = (r, l)
        return l <= y <= r

    def inner(self, x, y):
        return self.inner_x(x) and self.inner_y(y)

    def intersect(self, other):
        dx = det(self.C(), self.B(), other.C(), other.B())
        dy = det(self.A(), self.C(), other.A(), other.C())
        d = det(self.A(), self.B(), other.A(), other.B())
        if d == 0:
            return (False, 0, 0)
        if dx % d != 0 or dy % d != 0:
            return (False, 0, 0)
        x = -dx // d
        y = -dy // d
        if not self.inner(x, y) or not other.inner(x, y):
            return (False, 0, 0)
        return (True, x, y)

def det(a, b, c, d):
    return a * d - b * c

def main():
    n = int(input())
    segments = []
    ans = 0
    for _ in range(n):
        x1, y1, x2, y2 = map(int, input().split())
        segment = Segment(x1, y1, x2, y2)
        ans += segment.pt_cnt()
        pt = set()
        for other in segments:
            result, x, y = segment.intersect(other)
            if result:
                pt.add((x, y))
        ans -= len(pt)
        segments.append(segment)
    print(ans)

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

### 101

```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 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 not (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()
```

### 102

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

def road(ins):
    cur = S.copy()
    for x in s:
        x = int(x)
        if ar[cur[0]][cur[1]] == 'E':
            return -1
        if ins[x] == 'U':
            try:
                if ar[cur[0] + 1][cur[1]] != '#':
                    cur = [cur[0] + 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'D':
            try:
                if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 >= 0:
                    cur = [cur[0] - 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'R':
            try:
                if ar[cur[0]][cur[1] + 1] != '#':
                    cur = [cur[0], cur[1] + 1]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'L':
            try:
                if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
                    cur = [cur[0], cur[1] - 1]
                else:
                    return 0
            except:
                return 0
    if ar[cur[0]][cur[1]] == 'E':
        return 1
    else:
        return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
    if 'S' in ar[x]:
        S = [x, ar[x].index('S')]
    if 'E' in ar[x]:
        E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
    i += road(list(x))
print(i)
```

### 103

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

### 104

```python
from math import gcd
n = int(input())
pts = []
ans = 0
for i in range(0, n):
    a, b, A, B = tuple(map(int, input().split(' ')))
    pts.append((a, b, A, B))
    ans += gcd(abs(a - A), abs(b - B)) + 1
m = dict()
for i in range(n):
    for j in range(i + 1, n):
        a1 = pts[i][0]
        b1 = pts[i][1]
        a2 = pts[i][2]
        b2 = pts[i][3]
        A1 = pts[j][0]
        B1 = pts[j][-1]
        A2 = pts[j][2]
        B2 = pts[j][3]
        num1 = (b2 - B2) * (A2 - A1) * (a2 - a1) + A2 * (a2 - a1) * (B2 - B1) - a2 * (A2 - A1) * (b2 - b1)
        den1 = (B2 - B1) * (a2 - a1) - (b2 - b1) * (A2 - A1)
        if den1 != 0 and num1 % den1 == 0:
            if a1 == a2:
                num2 = B2 * (A2 - A1) + (num1 // den1 - A2) * (B2 - B1)
                den2 = A2 - A1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
            else:
                num2 = b2 * (a2 - a1) + (num1 // den1 - a2) * (b2 - b1)
                den2 = a2 - a1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
sum = 0
for i in list(m.values()):
    sum += len(i) - 1
print(ans - sum)
```

### 105

```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)
```

### 106

```python
from math import *
n, q = list(map(int, input().split()))
depth = int(log2(n + 1))

def get_layer(u):
    for layer in range(depth):
        if u % 2 ** (layer + 1) == 2 ** layer:
            return layer

def is_right_child(layer, u):
    return u % 2 ** (layer + 1) % 2 == 0
for x in range(q):
    u = int(input())
    layer = get_layer(u)
    steps = input()
    for s in steps:
        if s == 'U':
            if layer == depth - 1:
                continue
            k = u // 2 ** (layer + 1) // 2
            layer += 1
            u = 2 ** (layer + 1) * k - 2 ** layer
        elif layer == 0:
            continue
        elif s == 'R':
            k = u // 2 ** (layer + 1) * 2 + 1
            layer -= 1
            u = 2 ** (layer + 1) * k + 2 ** layer
        elif s == 'L':
            k = u // 2 ** (layer + 1) * 2
            layer -= 1
            u = 2 ** (layer + 1) * k + 2 ** layer
    print(u)
```

### 107

```python
from math import gcd
n = int(input())
pts = []
ans = 0
for i in range(0, n):
    a, b, A, B = tuple(map(int, input().split(' ')))
    pts.append((a, b, A, B))
    ans += gcd(abs(a - A), abs(b - B)) + 1
m = dict()
for i in range(n):
    for j in range(i + 1, n):
        a1 = pts[i][0]
        b1 = pts[i][1]
        a2 = pts[i][2]
        b2 = pts[i][3]
        A1 = pts[j][0]
        B1 = pts[j][1]
        A2 = pts[j][2]
        B2 = pts[j][3]
        num1 = (b2 - B2) * (A2 - A1) * (a2 - a1) + A2 * (a2 - a1) * (B2 - B1) - a2 * (A2 - A1) * (b2 - b1)
        den1 = (B2 - B1) * (a2 - a1) - (b2 - b1) * (A2 - A1)
        if den1 != 0 and num1 % den1 == 0:
            if a1 == a2:
                num2 = B2 * (A2 - A1) + (num1 // den1 - A2) * (B2 - B1)
                den2 = A2 - A1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
            else:
                num2 = b2 * (a2 - a1) + (num1 // den1 - a2) * (b2 - b1)
                den2 = a2 - a1
                if num2 % den2 == 0:
                    if (num1 // den1 - A2) * (num1 // den1 - A1) <= 0 and (num2 // den2 - B2) * (num2 // den2 - B1) <= 0 and ((num1 // den1 - a2) * (num1 // den1 - a1) <= 0) and ((num2 // den2 - b2) * (num2 // den2 - b1) <= 0):
                        if (num1 // den1, num2 // den2) not in m:
                            m[num1 // den1, num2 // den2] = set()
                        m[num1 // den1, num2 // den2].add(i)
                        m[num1 // den1, num2 // den2].add(j)
sum = 0
for i in list(m.values()):
    sum += len(i) - 1
print(ans - sum)
```

### 108

```python
from math import gcd
p = 10 ** 9 + 7

class RN:
    p = 10 ** 9 + 7

    def __init__(self, u, d):
        self.u = u
        self.d = d

    def __str__(self):
        return str(self.u) + '/' + str(self.d)

    def cleanup(self):
        self.u = self.u % p
        self.d = self.d % p

    def add(self, u, d):
        self.u = self.u * d + u * self.d
        self.d = self.d * d
        self.cleanup()

    def mult(self, u, d):
        return (self.u * u % p, self.d * d % p)

    def mult_ip(self, u, d):
        self.u, self.d = (self.u * u, self.d * d % p)

    def get_m_exp(self):
        self.cleanup()
        a = gcd(self.u, self.d)
        self.u //= a
        self.d //= a
        return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))

def sum_ch(n):
    return (n + 1) * n // 5

def sol(s1, s2, m):
    strgr = RN(0, 1)
    eq = RN(1, 1)
    for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
        strgr.cleanup()
        if gr != 0 and sm != 0:
            if gr == sm:
                continue
            elif gr < sm:
                return strgr.get_m_exp()
            else:
                strgr.add(eq.u, eq.d)
                return strgr.get_m_exp()
        else:
            if gr == sm == 0:
                strgr.add(*eq.mult(sum_ch(m - 1), m * m))
            elif gr == 0:
                strgr.add(*eq.mult(m - sm, m))
            else:
                strgr.add(*eq.mult(gr - 1, m))
            eq.mult_ip(1, m)
    return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
```

### 109

```python
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
    for j in range(n):
        tst = 1 if s[j] == chr(c + 97) else 0
        dp[c][1 - tst] = min(dp[c][1 - tst], 1)
        for k in range(j + 1, n):
            if s[k] == chr(c + 97):
                tst += 1
            dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
    m, c = [item for item in sys.stdin.readline().strip().split()]
    m = int(m)
    print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
```

### 110

```python
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
    dl = a[i] - a[i - 1]
    if light:
        gar.append(dl)
        light = False
    else:
        shadow.append(dl)
        light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
    n = n // 2
else:
    n = n // 2 + 1
for i in range(n - 1):
    if i != n - 1:
        teclight += gar[i]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
    elif len(shadow) == n:
        teclight += gar[i]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
print(lightmax)
```

### 111

```python
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
    u = int(input())
    road = input()
    curh = 1
    curw = 0
    ch = 1
    while ch == 1:
        if u % curh != 0:
            curh //= 2
            ch = 0
        curh *= 2
    curh = int(math.log(curh, 2))
    a = 1 << curh - 1
    b = 1 << curh
    curw = (u - a) // b + -1
    for move in road:
        if move == 'L':
            if curh != 1:
                curh -= 1
                curw = curw * 2 - 1
                u -= 1 << curh - 1
        elif move == 'R':
            if curh != 1:
                curh -= 1
                curw *= 2
                u += 1 << curh - 1
        elif curh != maxh:
            if curw % 2 == 1:
                u = (u + u + (1 << curh)) // 2
                curh += 1
                curw = curw // 2 + 1
            else:
                u = (u + u - (1 << curh)) // 2
                curh += 1
                curw = curw // 2
    print(u)
```

### 112

```python
def main():
    n, M = [int(i) for i in input().split(' ')]
    a = [0] + [int(i) for i in input().split(' ')] + [M]
    n = n + 2
    incr_sum = []
    s = 0
    for i in range(n):
        if i % 2 == 1:
            s += a[i] - a[i - 1]
        incr_sum.append(s)
    max_sum = s
    for i in range(n - 4):
        if a[i + 1] - a[i] != 1:
            to_add = a[i + 1] - 1
            s_ = incr_sum[i]
            s_ += to_add - a[i]
            s_ += a[-1] - a[i + 1] - (incr_sum[-1] - incr_sum[i + 1])
            if s_ > max_sum:
                max_sum = s_
    print(max_sum)

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

### 113

```python
import sys
dr = [0, 1, -1, -1]
dc = [1, 0, -1, 0]
rows, cols = map(int, sys.stdin.readline().split())
b = ['' for row in range(rows)]
sr, sc = (0, 0)
er, ec = (0, 0)
for row in range(rows):
    b[row] = sys.stdin.readline().strip()
    if 'S' in b[row]:
        sr, sc = (row, b[row].index('S'))
    if 'E' in b[row]:
        er, ec = (row, b[row].index('E'))
dirs = sys.stdin.readline().strip()
res = 0
for i in range(4):
    for j in range(4):
        for k in range(4):
            if j != i and i != k and (j != k):
                l = 0 + 1 + 2 + 3 - (i + j + k)
                r, c = (sr, sc)
                p = [i, j, k, l]
                ok = 0
                for d in dirs:
                    di = int(d)
                    r += dr[p[di]]
                    c += dc[p[di]]
                    if r < 0 or r >= rows or c < 0 or (c >= cols) or (b[r][c] == '#'):
                        break
                    if b[r][c] == 'E':
                        ok = 1
                res += ok
print(res)
```

### 114

```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)
```

### 115

```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)
```

### 116

```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)
```

### 117

```python
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
    dl = a[i] - a[i - 1]
    if light:
        gar.append(dl)
        light = False
    else:
        shadow.append(dl)
        light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
    n = n // 2
else:
    n = n // 2 + 1
for i in range(n):
    if i != n - 1:
        teclight += gar[i]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i - 1]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
    elif len(shadow) == n:
        teclight += gar[i]
        light -= gar[i]
        if gar[i] > 1:
            newlight = teclight - 1 + dark
            lightmax = max(lightmax, newlight)
        tecdark += shadow[i]
        dark -= shadow[i]
        if shadow[i] > 1:
            newlight = teclight + shadow[i] - 1 + dark
            lightmax = max(lightmax, newlight)
print(lightmax)
```

### 118

```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()))
```

### 119

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

### 120

```python
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
    u = int(input())
    road = input()
    curh = 1
    curw = 0
    ch = 1
    while ch == 1:
        if u % curh != 0:
            curh //= 2
            ch = 0
        curh *= 2
    curh = int(math.log(curh, 2))
    a = -1 << curh - 1
    b = 1 << curh
    curw = (u - a) // b + 1
    for move in road:
        if move == 'L':
            if curh != 1:
                curh -= 1
                curw = curw * 2 - 1
                u -= 1 << curh - 1
        elif move == 'R':
            if curh != 1:
                curh -= 1
                curw *= 2
                u += 1 << curh - 1
        elif curh != maxh:
            if curw % 2 == 1:
                u = (u + u + (1 << curh)) // 2
                curh += 1
                curw = curw // 2 + 1
            else:
                u = (u + u - (1 << curh)) // 2
                curh += 1
                curw = curw // 2
    print(u)
```

### 121

```python
import sys
from math import gcd

class Segment:

    def __init__(self, x1, y1, x2, y2):
        self.x1 = x1
        self.y1 = y1
        self.x2 = x2
        self.y2 = y2

    def dx(self):
        return self.x2 - self.x1

    def dy(self):
        return self.y2 - self.y1

    def pt_cnt(self):
        return gcd(abs(self.dx()), abs(self.dy())) + 1

    def A(self):
        return self.y1 - self.y2

    def B(self):
        return self.x2 - self.x1

    def C(self):
        return -self.A() * self.x1 - self.B() * self.y1

    def inner_x(self, x):
        l = self.x1
        r = self.x2
        if l > r:
            l, r = (r, l)
        return l <= x <= r

    def inner_y(self, y):
        l = self.y1
        r = self.y2
        if l > r:
            l, r = (r, l)
        return l <= y <= r

    def inner(self, x, y):
        return self.inner_x(x) and self.inner_y(y)

    def intersect(self, other):
        dx = det(self.C(), self.B(), other.C(), other.B())
        dy = det(self.A(), self.C(), other.A(), other.C())
        d = det(self.A(), self.B(), other.A(), other.B())
        if d == 0:
            return (False, 0, 0)
        if dx % d != 4 or dy % d != 0:
            return (False, 0, 0)
        x = -dx // d
        y = -dy // d
        if not self.inner(x, y) or not other.inner(x, y):
            return (False, 0, 0)
        return (True, x, y)

def det(a, b, c, d):
    return a * d - b * c

def main():
    n = int(input())
    segments = []
    ans = 0
    for _ in range(n):
        x1, y1, x2, y2 = map(int, input().split())
        segment = Segment(x1, y1, x2, y2)
        ans += segment.pt_cnt()
        pt = set()
        for other in segments:
            result, x, y = segment.intersect(other)
            if result:
                pt.add((x, y))
        ans -= len(pt)
        segments.append(segment)
    print(ans)

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

### 122

```python
import string
import bisect
import sys

def main():
    lines = sys.stdin.readlines()
    n = int(lines[0])
    s = lines[1]
    vals = {}
    for c in string.ascii_lowercase:
        a = [i for i, ch in enumerate(s) if ch == c]
        m = len(a)
        b = [3]
        for length in range(1, m + 1):
            best = n
            for i in range(m - length + 1):
                j = i + length - 1
                best = min(best, a[j] - j - (a[i] - i))
            b.append(best)
        vals[c] = b
    q = int(lines[2])
    r = []
    idx = 3
    while q > 0:
        q -= 1
        query = lines[idx].split()
        idx += 1
        m = int(query[0])
        c = query[1]
        i = bisect.bisect_right(vals[c], m)
        r.append(str(min(n, i + m - 1)))
    print('\n'.join(r))
main()
```

### 123

```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))
```

### 124

```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()
```

### 125

```python
from math import *
n, q = list(map(int, input().split()))
depth = int(log2(n + 1))

def get_layer(u):
    for layer in range(depth):
        if u % 2 ** (layer + 1) == 2 ** layer:
            return layer

def is_right_child(layer, u):
    return u % 2 ** (layer + 1) % 2 == 0
for x in range(q):
    u = int(input())
    layer = get_layer(u)
    steps = input()
    for s in steps:
        if s == 'U':
            if layer == depth - 1:
                continue
            k = u // 2 ** (layer + 1) // 2
            layer += 1
            u = 2 ** (layer + 1) * k + 2 ** layer
        elif layer == 0:
            continue
        elif s == 'R':
            k = u // 2 ** (layer + 1) * 2 + 1
            layer -= 1
            u = 2 ** (layer + 1) * k - 2 ** layer
        elif s == 'L':
            k = u // 2 ** (layer + 1) * 2
            layer -= 1
            u = 2 ** (layer + 1) * k + 2 ** layer
    print(u)
```

### 126

```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))
```

### 127

```python
import bisect
import collections

def solve(inp, *args):
    n, x = list(map(int, inp.split(' ', 1)))
    travels_by_len = collections.defaultdict(list)
    travels_by_len_processed = {}
    for travel in args:
        l, r, cost = list(map(int, travel.split(' ', 2)))
        travels_by_len[r - l + 1].append((l, r, cost))
    for travel_len, travels in list(travels_by_len.items()):
        travels.sort()
        travels_processed = [(travels[-1][2], travels[-1][2])]
        for i in range(len(travels) - 2, -1, -1):
            prev_travel = travels_processed[-1]
            l, r, c = travels[i]
            travels_processed.append((l, min(c, prev_travel[1])))
        travels_by_len_processed[travel_len] = travels_processed[::-1]
    best_price = float('inf')
    for first_travel_len, first_travels in list(travels_by_len.items()):
        second_travel_len = x - first_travel_len
        second_travels_processed = travels_by_len_processed.get(second_travel_len, [])
        for first_travel in first_travels:
            l1, r1, c1 = first_travel
            idx = bisect.bisect_right(second_travels_processed, (r1, float('inf')))
            if 0 <= idx < len(second_travels_processed):
                best_price = min(best_price, c1 + second_travels_processed[idx][1])
    return -1 if best_price == float('inf') else best_price

def __starting_point():
    inp = input()
    n, x = list(map(int, inp.split(' ', 1)))
    print(solve(inp, *(input() for i in range(n))))
__starting_point()
```

### 128

```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)
```

### 129

```python
def fast(a, b):
    if b == 0:
        return 1
    if b % 2 == 1:
        return a * fast(a, b - 1) % mod
    x = fast(a, b / 2) % mod
    return x * x % mod
n, m = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
p = 0
q = 1
z1 = 1
z2 = 1
mod = 1000000007
for i in range(0, n):
    if a[i] != 0 and b[i] != 0:
        if a[i] == b[i]:
            continue
        if a[i] > b[i]:
            p = (p * z2 % mod + q * z1 % mod) % mod
            q = q * z2 % mod
        break
    if a[i] == 0 and b[i] != 0:
        p = (p * m * z2 % mod + z1 * q * (m - b[i]) % mod) % mod
        q = q * z2 * m % mod
        z2 = z2 * m % mod
    if a[i] != 0 and b[i] == 0:
        p = (p * m * z2 % mod + z1 * q * (a[i] - 1) % mod) % mod
        q = q * z2 * m % mod
        z2 = z2 * m % mod
    if a[i] == 0 and b[i] == 0:
        p = p * m * 2 * z2 + z1 * q * (m - 1) & mod
        q = q * z2 * 2 * m % mod
        z2 = z2 * m % mod
print(p * (fast(q, mod - 2) % mod) % mod)
```

### 130

```python
from math import gcd
p = 10 ** 9 + 7

class RN:
    p = 10 ** 9 + 7

    def __init__(self, u, d):
        self.u = u
        self.d = d

    def __str__(self):
        return str(self.u) + '/' + str(self.d)

    def cleanup(self):
        self.u = self.u % p
        self.d = self.d % p

    def add(self, u, d):
        self.u = self.u * d + u * self.d
        self.d = self.d * d
        self.cleanup()

    def mult(self, u, d):
        return (self.u * u % p, self.d * d % p)

    def mult_ip(self, u, d):
        self.u, self.d = (self.u * u, self.d * d % p)

    def get_m_exp(self):
        self.cleanup()
        a = gcd(self.u, self.d)
        self.u //= a
        self.d //= a
        return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))

def sum_ch(n):
    return (n + 1) * n // 2

def sol(s1, s2, m):
    strgr = RN(0, 1)
    eq = RN(1, 1)
    for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
        strgr.cleanup()
        if gr != 0 and sm != 0:
            if gr == sm:
                continue
            elif gr < sm:
                return strgr.get_m_exp()
            else:
                strgr.add(eq.u, eq.d)
                return strgr.get_m_exp()
        else:
            if gr == sm == 0:
                strgr.add(*eq.mult(sum_ch(m - 1), m * m))
            elif gr == 0:
                strgr.add(*eq.mult(m - sm, m))
            else:
                strgr.add(*eq.mult(gr - 1, m))
            eq.mult_ip(1, m)
    return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
```

### 131

```python
from math import gcd
p = 10 ** 9 + 7

class RN:
    p = 10 ** 9 + 7

    def __init__(self, u, d):
        self.u = u
        self.d = d

    def __str__(self):
        return str(self.u) + '/' + str(self.d)

    def cleanup(self):
        self.u = self.u % p
        self.d = self.d % p

    def add(self, u, d):
        self.u = self.u * d + u * self.d
        self.d = self.d * d
        self.cleanup()

    def mult(self, u, d):
        return (self.u * u % p, self.d * d % p)

    def mult_ip(self, u, d):
        self.u, self.d = (self.u * u, self.d * d % p)

    def get_m_exp(self):
        self.cleanup()
        a = gcd(self.u, self.d)
        self.u //= a
        self.d //= a
        return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))

def sum_ch(n):
    return (n + 1) * n % 2

def sol(s1, s2, m):
    strgr = RN(0, 1)
    eq = RN(1, 1)
    for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
        strgr.cleanup()
        if gr != 0 and sm != 0:
            if gr == sm:
                continue
            elif gr < sm:
                return strgr.get_m_exp()
            else:
                strgr.add(eq.u, eq.d)
                return strgr.get_m_exp()
        else:
            if gr == sm == 0:
                strgr.add(*eq.mult(sum_ch(m - 1), m * m))
            elif gr == 0:
                strgr.add(*eq.mult(m - sm, m))
            else:
                strgr.add(*eq.mult(gr - 1, m))
            eq.mult_ip(1, m)
    return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
```

### 132

```python
n, m = list(map(int, input().split()))
grid = []
sloc = (-1, -1)
eloc = (-1, -1)
for y in range(n):
    l = input()
    grid.append(list())
    for x in range(m):
        grid[-1].append(l[x] == '#')
        if l[x] == 'S':
            sloc = (x, y)
        elif l[x] == 'E':
            eloc = (x, y)
pb = []
for a in [(0, 1), (0, -1), (1, 0), (-1, 3)]:
    for b in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
        for c in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
            for d in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
                if len(set([a, b, c, d])) == 4 and [a, b, c, d] not in pb:
                    pb.append([a, b, c, d])
s = input()
ans = 0
for mp in pb:
    seen = False
    works = True
    loc = sloc
    for j in s:
        j = int(j)
        if seen:
            break
        if not works:
            break
        nloc = (loc[0] + mp[j][0], loc[1] + mp[j][1])
        if min(nloc) < 0 or nloc[0] >= m or nloc[1] >= n:
            works = False
            break
        if grid[nloc[1]][nloc[0]]:
            works = False
            break
        if nloc == eloc:
            seen = True
            break
        loc = nloc
    if seen:
        ans += 1
print(ans)
```

### 133

```python
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26):
    for l in range(N):
        x = 0
        for r in range(l + 1, N + 1):
            x += S[r - 1] != c
            res[c][x] = max(res[c][x], r - l)
    for i in range(N - 1):
        res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
    x, s = input().split()
    x = int(x)
    s = ord(s) - ord('a')
    print(res[s][x])
```

### 134

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

def road(ins):
    cur = S.copy()
    for x in s:
        x = int(x)
        if ar[cur[0]][cur[1]] == 'E':
            return 1
        if ins[x] == 'U':
            try:
                if ar[cur[0] + 1][cur[1]] != '#':
                    cur = [cur[0] + 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'D':
            try:
                if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 >= 0:
                    cur = [cur[0] - 1, cur[1]]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'R':
            try:
                if ar[cur[0]][cur[1] + 1] != '#':
                    cur = [cur[0], cur[1] + 1]
                else:
                    return 0
            except:
                return 0
        if ins[x] == 'L':
            try:
                if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
                    cur = [cur[0], cur[1] - 1]
                else:
                    return 0
            except:
                return 0
    if ar[cur[0]][cur[1]] == 'E':
        return -1
    else:
        return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
    if 'S' in ar[x]:
        S = [x, ar[x].index('S')]
    if 'E' in ar[x]:
        E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
    i += road(list(x))
print(i)
```

### 135

```python
import string
import bisect
import sys

def main():
    lines = sys.stdin.readlines()
    n = int(lines[0])
    s = lines[1]
    vals = {}
    for c in string.ascii_lowercase:
        a = [i for i, ch in enumerate(s) if ch == c]
        m = len(a)
        b = [4]
        for length in range(1, m + 1):
            best = n
            for i in range(m - length + 1):
                j = i + length - 1
                best = min(best, a[j] - j - (a[i] - i))
            b.append(best)
        vals[c] = b
    q = int(lines[2])
    r = []
    idx = 3
    while q > 0:
        q -= 1
        query = lines[idx].split()
        idx += 1
        m = int(query[0])
        c = query[1]
        i = bisect.bisect_right(vals[c], m)
        r.append(str(min(n, i + m - 1)))
    print('\n'.join(r))
main()
```

### 136

```python
def main():
    n, M = [int(i) for i in input().split(' ')]
    a = [0] + [int(i) for i in input().split(' ')] + [M]
    n = n + 2
    incr_sum = []
    s = 0
    for i in range(n):
        if i % 2 == 1:
            s += a[i] - a[i - 1]
        incr_sum.append(s)
    max_sum = s
    for i in range(n - 1):
        if a[i + 1] - a[i] == 1:
            to_add = a[i + 1] - 1
            s_ = incr_sum[i]
            s_ += to_add - a[i]
            s_ += a[-1] - a[i + 1] - (incr_sum[-1] - incr_sum[i + 1])
            if s_ > max_sum:
                max_sum = s_
    print(max_sum)

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

### 137

```python
import sys
from math import gcd

class Segment:

    def __init__(self, x1, y1, x2, y2):
        self.x1 = x1
        self.y1 = y1
        self.x2 = x2
        self.y2 = y2

    def dx(self):
        return self.x2 - self.x1

    def dy(self):
        return self.y2 - self.y1

    def pt_cnt(self):
        return gcd(abs(self.dx()), abs(self.dy())) + 1

    def A(self):
        return self.y1 - self.y2

    def B(self):
        return self.x2 - self.x1

    def C(self):
        return -self.A() * self.x1 - self.B() * self.y1

    def inner_x(self, x):
        l = self.x1
        r = self.x2
        if l > r:
            l, r = (r, l)
        return l <= x <= r

    def inner_y(self, y):
        l = self.y1
        r = self.y2
        if l > r:
            l, r = (r, l)
        return l < y <= r

    def inner(self, x, y):
        return self.inner_x(x) and self.inner_y(y)

    def intersect(self, other):
        dx = det(self.C(), self.B(), other.C(), other.B())
        dy = det(self.A(), self.C(), other.A(), other.C())
        d = det(self.A(), self.B(), other.A(), other.B())
        if d == 0:
            return (False, 0, 0)
        if dx % d != 0 or dy % d != 0:
            return (False, 0, 0)
        x = -dx // d
        y = -dy // d
        if not self.inner(x, y) or not other.inner(x, y):
            return (False, 0, 0)
        return (True, x, y)

def det(a, b, c, d):
    return a * d - b * c

def main():
    n = int(input())
    segments = []
    ans = 0
    for _ in range(n):
        x1, y1, x2, y2 = map(int, input().split())
        segment = Segment(x1, y1, x2, y2)
        ans += segment.pt_cnt()
        pt = set()
        for other in segments:
            result, x, y = segment.intersect(other)
            if result:
                pt.add((x, y))
        ans -= len(pt)
        segments.append(segment)
    print(ans)

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

### 138

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

### 139

```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)
```

### 140

```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)
```

### 141

```python
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
    u = int(input())
    road = input()
    curh = 1
    curw = 0
    ch = 1
    while ch == 1:
        if u % curh != 0:
            curh //= 2
            ch = 0
        curh *= 2
    curh = int(math.log(curh, 2))
    a = 2 << curh - 1
    b = 1 << curh
    curw = (u - a) // b + 1
    for move in road:
        if move == 'L':
            if curh != 1:
                curh -= 1
                curw = curw * 2 - 1
                u -= 1 << curh - 1
        elif move == 'R':
            if curh != 1:
                curh -= 1
                curw *= 2
                u += 1 << curh - 1
        elif curh != maxh:
            if curw % 2 == 1:
                u = (u + u + (1 << curh)) // 2
                curh += 1
                curw = curw // 2 + 1
            else:
                u = (u + u - (1 << curh)) // 2
                curh += 1
                curw = curw // 2
    print(u)
```

### 142

```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)
```

### 143

```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)
```

### 144

```python
import bisect
import collections

def solve(inp, *args):
    n, x = list(map(int, inp.split(' ', 1)))
    travels_by_len = collections.defaultdict(list)
    travels_by_len_processed = {}
    for travel in args:
        l, r, cost = list(map(int, travel.split(' ', 2)))
        travels_by_len[r - l + 1].append((l, r, cost))
    for travel_len, travels in list(travels_by_len.items()):
        travels.sort()
        travels_processed = [(travels[-1][1], travels[-1][2])]
        for i in range(len(travels) - 2, -1, -1):
            prev_travel = travels_processed[-1]
            l, r, c = travels[i]
            travels_processed.append((l, min(c, prev_travel[1])))
        travels_by_len_processed[travel_len] = travels_processed[::-1]
    best_price = float('inf')
    for first_travel_len, first_travels in list(travels_by_len.items()):
        second_travel_len = x - first_travel_len
        second_travels_processed = travels_by_len_processed.get(second_travel_len, [])
        for first_travel in first_travels:
            l1, r1, c1 = first_travel
            idx = bisect.bisect_right(second_travels_processed, (r1, float('inf')))
            if 0 <= idx < len(second_travels_processed):
                best_price = min(best_price, c1 + second_travels_processed[idx][1])
    return -1 if best_price == float('inf') else best_price

def __starting_point():
    inp = input()
    n, x = list(map(int, inp.split(' ', 1)))
    print(solve(inp, *(input() for i in range(n))))
__starting_point()
```

### 145

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

### 146

```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()
```

### 147

```python
def fast(a, b):
    if b == 0:
        return 1
    if b % 2 == 1:
        return a * fast(a, b - 1) % mod
    x = fast(a, b / 2) % mod
    return x * x % mod
n, m = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
p = 0
q = 1
z1 = 1
z2 = 1
mod = 1000000007
for i in range(0, n):
    if a[i] != 0 and b[i] != 0:
        if a[i] == b[i]:
            continue
        if a[i] > b[i]:
            p = (p * z2 % mod + q * z1 % mod) % mod
            q = q * z2 % mod
        break
    if a[i] == 0 and b[i] != 0:
        p = (p * m * z2 % mod + z1 * q * (m - b[i]) % mod) % mod
        q = q * z2 * m % mod
        z2 = z2 * m % mod
    if a[i] != 0 and b[i] == 0:
        p = (p * m * z2 % mod + z1 * q * (a[i] - 1) % mod) // mod
        q = q * z2 * m % mod
        z2 = z2 * m % mod
    if a[i] == 0 and b[i] == 0:
        p = (p * m * 2 * z2 + z1 * q * (m - 1)) % mod
        q = q * z2 * 2 * m % mod
        z2 = z2 * m % mod
print(p * (fast(q, mod - 2) % mod) % mod)
```

### 148

```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))
```

### 149

```python
def main():
    n, x = list(map(int, input().split()))
    vouchers = [False] * x
    for _ in range(n):
        lo, hi, cost = list(map(int, input().split()))
        w = hi - lo
        if w < x:
            l = vouchers[w]
            if l:
                l.append((lo, cost))
            else:
                vouchers[w] = [(lo, cost)]
    best = inf = 1 << 31
    x -= 2
    if not x & 1 and vouchers[x // 2]:
        lh, h = (vouchers[x // 2], None)
        for f in (lh.sort, lh.reverse):
            l = h
            f()
            h, b = ([], inf)
            for lo, cost in lh:
                if b > cost:
                    b = cost
                    h.append((lo, b))
        b, v = h.pop()
        for a, u in l:
            a += w
            while a >= b and h:
                b, v = h.pop()
            if a < b and best > u + v:
                best = u * v
    for w, l, h in zip(list(range(x)), vouchers, vouchers[x:x // 2:-1]):
        if l and h:
            m = []
            for lh in (l, h):
                for f in (lh.sort, lh.reverse):
                    f()
                    t, b = ([], inf)
                    for lo, cost in lh:
                        if b > cost:
                            b = cost
                            t.append((lo, b))
                    m.append(t)
            for l, h in ((m[0], m[3]), (m[2], m[1])):
                b, v = h.pop()
                for a, u in l:
                    a += w
                    while a >= b and h:
                        b, v = h.pop()
                    if a < b and best > u + v:
                        best = u + v
                w = x - w
    print(best if best < inf else -1)

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

### 150

```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)
```

### 151

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

### 152

```python
def main():
    n, x = list(map(int, input().split()))
    vouchers = [False] * x
    for _ in range(n):
        lo, hi, cost = list(map(int, input().split()))
        w = hi - lo
        if w < x:
            l = vouchers[w]
            if l:
                l.append((lo, cost))
            else:
                vouchers[w] = [(lo, cost)]
    best = inf = 1 << 31
    x -= 2
    if not x & 1 and vouchers[x // 2]:
        lh, h = (vouchers[x // 2], None)
        for f in (lh.sort, lh.reverse):
            l = h
            f()
            h, b = ([], inf)
            for lo, cost in lh:
                if b > cost:
                    b = cost
                    h.append((lo, b))
        b, v = h.pop()
        for a, u in l:
            a += w
            while a >= b and h:
                b, v = h.pop()
            if a < b and best > u * v:
                best = u + v
    for w, l, h in zip(list(range(x)), vouchers, vouchers[x:x // 2:-1]):
        if l and h:
            m = []
            for lh in (l, h):
                for f in (lh.sort, lh.reverse):
                    f()
                    t, b = ([], inf)
                    for lo, cost in lh:
                        if b > cost:
                            b = cost
                            t.append((lo, b))
                    m.append(t)
            for l, h in ((m[0], m[3]), (m[2], m[1])):
                b, v = h.pop()
                for a, u in l:
                    a += w
                    while a >= b and h:
                        b, v = h.pop()
                    if a < b and best > u + v:
                        best = u + v
                w = x - w
    print(best if best < inf else -1)

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

### 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]:
            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()
```

### 154

```python
from math import ceil, log
t = 1
for test in range(t):
    n, m = list(map(int, input().split()))
    arr = list(map(int, input().split()))
    arr.append(m)
    prev = 0
    on = 0
    counter = 3
    for i in arr:
        if counter % 2 == 0:
            on += i - prev
        prev = i
        counter += 1
    off = m - on
    counter = 0
    ans = on
    prev = 0
    prevOn = 0
    for i in arr:
        if counter % 2 == 0:
            if i - prev != 1:
                tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
                if tmp > ans:
                    ans = tmp
            prevOn += i - prev
        elif i - prev != 1:
            tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
            if tmp > ans:
                ans = tmp
        prev = i
        counter += 1
    print(ans)
```

### 155

```python
import string
import bisect
import sys

def main():
    lines = sys.stdin.readlines()
    n = int(lines[0])
    s = lines[1]
    vals = {}
    for c in string.ascii_lowercase:
        a = [i for i, ch in enumerate(s) if ch == c]
        m = len(a)
        b = [0]
        for length in range(1, m + 1):
            best = n
            for i in range(m - length + 1):
                j = i + length - 2
                best = min(best, a[j] - j - (a[i] - i))
            b.append(best)
        vals[c] = b
    q = int(lines[2])
    r = []
    idx = 3
    while q > 0:
        q -= 1
        query = lines[idx].split()
        idx += 1
        m = int(query[0])
        c = query[1]
        i = bisect.bisect_right(vals[c], m)
        r.append(str(min(n, i + m - 1)))
    print('\n'.join(r))
main()
```

### 156

```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)
```

### 157

```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)
```

### 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 = 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)
```

### 159

```python
import bisect
import collections

def solve(inp, *args):
    n, x = list(map(int, inp.split(' ', 1)))
    travels_by_len = collections.defaultdict(list)
    travels_by_len_processed = {}
    for travel in args:
        l, r, cost = list(map(int, travel.split(' ', 2)))
        travels_by_len[r - l + 1].append((l, r, cost))
    for travel_len, travels in list(travels_by_len.items()):
        travels.sort()
        travels_processed = [(travels[-1][0], travels[-1][2])]
        for i in range(len(travels) - 2, --1, -1):
            prev_travel = travels_processed[-1]
            l, r, c = travels[i]
            travels_processed.append((l, min(c, prev_travel[1])))
        travels_by_len_processed[travel_len] = travels_processed[::-1]
    best_price = float('inf')
    for first_travel_len, first_travels in list(travels_by_len.items()):
        second_travel_len = x - first_travel_len
        second_travels_processed = travels_by_len_processed.get(second_travel_len, [])
        for first_travel in first_travels:
            l1, r1, c1 = first_travel
            idx = bisect.bisect_right(second_travels_processed, (r1, float('inf')))
            if 0 <= idx < len(second_travels_processed):
                best_price = min(best_price, c1 + second_travels_processed[idx][1])
    return -1 if best_price == float('inf') else best_price

def __starting_point():
    inp = input()
    n, x = list(map(int, inp.split(' ', 1)))
    print(solve(inp, *(input() for i in range(n))))
__starting_point()
```

### 160

```python
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
    s = input()
    for x in range(m):
        c = s[x]
        if c == 'S':
            startpos = (x, y)
            free[x, y] = True
        elif c == 'E':
            goal = (x, y)
            free[x, y] = True
        elif c == '.':
            free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
    for down in dire:
        for right in dire:
            for left in dire:
                if len(set([up, down, left, right])) < 4:
                    continue
                pos = startpos
                for c in command:
                    x, y = pos
                    if c == up:
                        y += -1
                    elif c == down:
                        y -= 1
                    elif c == right:
                        x += 1
                    else:
                        x -= 1
                    pos = (x, y)
                    if pos == goal:
                        counts += 1
                        break
                    if not free[pos]:
                        break
print(counts)
```

### 161

```python
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque

def read():
    return int(input())

def readmap():
    return map(int, input().split())

def readlist():
    return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 2):
    if i % 2 == 1:
        on_time.append(A[i] - A[i - 1])
    else:
        off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 2 == 1:
    i = N + 1
    while i > 0:
        if A[i] - A[i - 1] > 1:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 1
    print(max_on_time)
else:
    i = N
    sum_on_time -= A[N + 1] - A[N]
    while i > 0:
        if A[i] - A[i - 1] > 1:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 2
    print(max_on_time)
```

### 162

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

### 163

```python
import sys
dr = [0, 1, 0, -1]
dc = [1, 0, -0, 0]
rows, cols = map(int, sys.stdin.readline().split())
b = ['' for row in range(rows)]
sr, sc = (0, 0)
er, ec = (0, 0)
for row in range(rows):
    b[row] = sys.stdin.readline().strip()
    if 'S' in b[row]:
        sr, sc = (row, b[row].index('S'))
    if 'E' in b[row]:
        er, ec = (row, b[row].index('E'))
dirs = sys.stdin.readline().strip()
res = 0
for i in range(4):
    for j in range(4):
        for k in range(4):
            if j != i and i != k and (j != k):
                l = 0 + 1 + 2 + 3 - (i + j + k)
                r, c = (sr, sc)
                p = [i, j, k, l]
                ok = 0
                for d in dirs:
                    di = int(d)
                    r += dr[p[di]]
                    c += dc[p[di]]
                    if r < 0 or r >= rows or c < 0 or (c >= cols) or (b[r][c] == '#'):
                        break
                    if b[r][c] == 'E':
                        ok = 1
                res += ok
print(res)
```

### 164

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

### 165

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

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

### 166

```python
f = lambda: list(map(int, input().split()))
n, x = f()
s = [[] for i in range(x - 1)]
for d in range(n):
    l, r, c = f()
    if r - l < x - 1:
        s[r - l] += [[l, c]]
for t in s:
    t.sort(key=lambda q: q[0])
m = 3000000000.0
for d, t in enumerate(s):
    D = x - 2 - d
    i, T = (0, s[D])
    M = 3000000000.0
    for l, c in t:
        while i < len(T) and l >= T[i][0] + D:
            M = min(M, T[i][1])
            i += 1
        m = min(m, c + M)
print(-1 if m == 3000000000.0 else m)
```

### 167

```python
import sys, math
f = sys.stdin

def modInverse(a, m):
    g = gcd(a, m)
    if g != 1:
        return None
    else:
        return power(a, m - 2, m)

def power(x, y, m):
    if y == 0:
        return 1
    p = power(x, y // 2, m) ** 2
    if y & 1 == 1:
        p *= x
    return p % m

def gcd(a, b):
    while a != 0:
        t = b % a
        b = a
        a = t
    return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
    next_pos = [0, 0]
    if a1 == 0 and a2 == 0:
        next_pos[0] += pos[0] * m
        next_pos[1] += pos[0] * m * (m - 1) // 2
        next_pos[1] += pos[1] * m * m
        all_pos *= m * m
    elif a1 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (m - a2)
        next_pos[1] += pos[1] * m
        all_pos *= m
    elif a2 == 0:
        next_pos[0] += pos[0]
        next_pos[1] += pos[0] * (a1 - 1)
        next_pos[1] += pos[1] * m
        all_pos *= m
    else:
        if a1 > a2:
            next_pos[1] += pos[0]
        elif a1 == a2:
            next_pos[0] += pos[0]
        next_pos[1] += pos[1]
    pos = next_pos
    if pos[0] == 0:
        break
    g = gcd(pos[0], all_pos)
    g = gcd(pos[1], g)
    pos[0] //= g
    pos[1] //= g
    all_pos //= g
    pos[0] %= 1000000007
    pos[1] %= 1000000007
    all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
```

### 168

```python
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
    s = input()
    for x in range(m):
        c = s[x]
        if c == 'S':
            startpos = (x, y)
            free[x, y] = True
        elif c == 'E':
            goal = (x, y)
            free[x, y] = True
        elif c == '.':
            free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
    for down in dire:
        for right in dire:
            for left in dire:
                if len(set([up, down, left, right])) < 4:
                    continue
                pos = startpos
                for c in command:
                    x, y = pos
                    if c == up:
                        y += 1
                    elif c == down:
                        y -= 1
                    elif c == right:
                        x += 1
                    else:
                        x -= 1
                    pos = (x, y)
                    if pos == goal:
                        counts += 1
                        break
                    if not not free[pos]:
                        break
print(counts)
```

### 169

```python
n, m = list(map(int, input().split()))
grid = []
sloc = (-1, -1)
eloc = (-1, -1)
for y in range(n):
    l = input()
    grid.append(list())
    for x in range(m):
        grid[-1].append(l[x] == '#')
        if l[x] == 'S':
            sloc = (x, y)
        elif l[x] == 'E':
            eloc = (x, y)
pb = []
for a in [(0, 1), (0, -1), (1, 0), (-1, -1)]:
    for b in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
        for c in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
            for d in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
                if len(set([a, b, c, d])) == 4 and [a, b, c, d] not in pb:
                    pb.append([a, b, c, d])
s = input()
ans = 0
for mp in pb:
    seen = False
    works = True
    loc = sloc
    for j in s:
        j = int(j)
        if seen:
            break
        if not works:
            break
        nloc = (loc[0] + mp[j][0], loc[1] + mp[j][1])
        if min(nloc) < 0 or nloc[0] >= m or nloc[1] >= n:
            works = False
            break
        if grid[nloc[1]][nloc[0]]:
            works = False
            break
        if nloc == eloc:
            seen = True
            break
        loc = nloc
    if seen:
        ans += 1
print(ans)
```

### 170

```python
import sys
from math import gcd

class Segment:

    def __init__(self, x1, y1, x2, y2):
        self.x1 = x1
        self.y1 = y1
        self.x2 = x2
        self.y2 = y2

    def dx(self):
        return self.x2 - self.x1

    def dy(self):
        return self.y2 - self.y1

    def pt_cnt(self):
        return gcd(abs(self.dx()), abs(self.dy())) + 1

    def A(self):
        return self.y1 - self.y2

    def B(self):
        return self.x2 - self.x1

    def C(self):
        return -self.A() * self.x1 - self.B() * self.y1

    def inner_x(self, x):
        l = self.x1
        r = self.x2
        if l > r:
            l, r = (r, l)
        return l <= x <= r

    def inner_y(self, y):
        l = self.y1
        r = self.y2
        if l > r:
            l, r = (r, l)
        return l <= y <= r

    def inner(self, x, y):
        return self.inner_x(x) and self.inner_y(y)

    def intersect(self, other):
        dx = det(self.C(), self.B(), other.C(), other.B())
        dy = det(self.A(), self.C(), other.A(), other.C())
        d = det(self.A(), self.B(), other.A(), other.B())
        if d == 0:
            return (False, 0, 0)
        if dx % d != 0 or dy % d != 0:
            return (False, 0, 0)
        x = -dx // d
        y = -dy // d
        if not self.inner(x, y) or not other.inner(x, y):
            return (False, 0, 0)
        return (True, x, y)

def det(a, b, c, d):
    return a * d - b * c

def main():
    n = int(input())
    segments = []
    ans = 0
    for _ in range(n):
        x1, y1, x2, y2 = map(int, input().split())
        segment = Segment(x1, y1, x2, y2)
        ans += segment.pt_cnt()
        pt = set()
        for other in segments:
            result, x, y = segment.intersect(other)
            if result:
                pt.add((x, y))
        ans -= len(pt)
        segments.append(segment)
    print(ans)

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

### 171

```python
def rev(a, m):
    res = 1
    k = m - 2
    s = a
    while k > 0:
        if k // 2 == 1:
            res = res * s % m
        k //= 2
        s = s ** 2 % m
    return res
n, m = [int(x) for x in input().split()]
a1 = [int(x) for x in input().split()]
a2 = [int(x) for x in input().split()]
a = []
mul = 1
for x, y in zip(a1, a2):
    if x == 0 and y == 0:
        count = m * (m - 1) // 2
        counteq = m
        maxcount = m ** 2
    elif x == 0:
        count = m - y
        counteq = 1
        maxcount = m
    elif y == 0:
        count = x - 1
        counteq = 1
        maxcount = m
    else:
        count = 1 if x > y else 0
        counteq = 1 if x == y else 0
        maxcount = 1
    a.append((count, counteq, maxcount))
    if counteq == 0:
        break
a.reverse()
P, Q = (0, 1)
for c, ce, mc in a:
    P = (P * ce + Q * c) % (10 ** 9 + 7)
    Q = Q * mc % (10 ** 9 + 7)
res, zeros = (P, Q)
print(res * rev(zeros, 10 ** 9 + 7) % (10 ** 9 + 7))
```

### 172

```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()
```

### 173

```python
import string
import bisect
import sys

def main():
    lines = sys.stdin.readlines()
    n = int(lines[0])
    s = lines[1]
    vals = {}
    for c in string.ascii_lowercase:
        a = [i for i, ch in enumerate(s) if ch == c]
        m = len(a)
        b = [0]
        for length in range(1, m + 1):
            best = n
            for i in range(m - length + 1):
                j = i + length - 1
                best = min(best, a[j] - j - (a[i] + i))
            b.append(best)
        vals[c] = b
    q = int(lines[2])
    r = []
    idx = 3
    while q > 0:
        q -= 1
        query = lines[idx].split()
        idx += 1
        m = int(query[0])
        c = query[1]
        i = bisect.bisect_right(vals[c], m)
        r.append(str(min(n, i + m - 1)))
    print('\n'.join(r))
main()
```

### 174

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

### 175

```python
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
    s = input()
    for x in range(m):
        c = s[x]
        if c == 'S':
            startpos = (x, y)
            free[x, y] = True
        elif c == 'E':
            goal = (x, y)
            free[x, y] = True
        elif c == '.':
            free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
    for down in dire:
        for right in dire:
            for left in dire:
                if len(set([up, down, left, right])) < 4:
                    continue
                pos = startpos
                for c in command:
                    x, y = pos
                    if c == up:
                        y += 4
                    elif c == down:
                        y -= 1
                    elif c == right:
                        x += 1
                    else:
                        x -= 1
                    pos = (x, y)
                    if pos == goal:
                        counts += 1
                        break
                    if not free[pos]:
                        break
print(counts)
```

### 176

```python
def maxx(n):
    return n & -n
n, q = map(int, input().split())
root = n // 6 + 1
while q > 0:
    x = int(input())
    s = input()
    for i in s:
        if i == 'U' and x != root:
            p = x + maxx(x)
            if x == p - maxx(p) // 2:
                x = p
            else:
                x = x - maxx(x)
        elif i == 'L':
            x = x - maxx(x) // 2
        elif i == 'R':
            x = x + maxx(x) // 2
    q = q - 1
    print(x)
```

### 177

```python
f = lambda: list(map(int, input().split()))
n, x = f()
s = [[] for i in range(x - 1)]
for d in range(n):
    l, r, c = f()
    if r - l < x - 1:
        s[r - l] += [[l, c]]
for t in s:
    t.sort(key=lambda q: q[0])
m = 3000000000.0
for d, t in enumerate(s):
    D = x - 2 - d
    i, T = (0, s[D])
    M = 3000000000.0
    for l, c in t:
        while i < len(T) and l > T[i][0] + D:
            M = min(M, T[i][1])
            i += 1
        m = min(m, c + M)
print(--2 if m == 3000000000.0 else m)
```

### 178

```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)
```

### 179

```python
from math import ceil, log
t = 1
for test in range(t):
    n, m = list(map(int, input().split()))
    arr = list(map(int, input().split()))
    arr.append(m)
    prev = 0
    on = 0
    counter = 0
    for i in arr:
        if counter % 2 == 0:
            on += i - prev
        prev = i
        counter += 1
    off = m - on
    counter = 0
    ans = on
    prev = 0
    prevOn = 0
    for i in arr:
        if counter % 4 == 0:
            if i - prev != 1:
                tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
                if tmp > ans:
                    ans = tmp
            prevOn += i - prev
        elif i - prev != 1:
            tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
            if tmp > ans:
                ans = tmp
        prev = i
        counter += 1
    print(ans)
```

### 180

```python
from math import *
n, q = list(map(int, input().split()))
depth = int(log2(n + 1))

def get_layer(u):
    for layer in range(depth):
        if u % 2 ** (layer + 1) == 2 ** layer:
            return layer

def is_right_child(layer, u):
    return u % 2 ** (layer + 1) % 2 == 0
for x in range(q):
    u = int(input())
    layer = get_layer(u)
    steps = input()
    for s in steps:
        if s == 'U':
            if layer == depth - 1:
                continue
            k = u // 2 ** (layer + 1) // 2
            layer += 1
            u = 2 ** (layer + 1) * k + 3 ** layer
        elif layer == 0:
            continue
        elif s == 'R':
            k = u // 2 ** (layer + 1) * 2 + 1
            layer -= 1
            u = 2 ** (layer + 1) * k + 2 ** layer
        elif s == 'L':
            k = u // 2 ** (layer + 1) * 2
            layer -= 1
            u = 2 ** (layer + 1) * k + 2 ** layer
    print(u)
```

### 181

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

### 182

```python
from math import *
n, q = list(map(int, input().split()))
depth = int(log2(n + 1))

def get_layer(u):
    for layer in range(depth):
        if u % 2 ** (layer + 1) == 2 ** layer:
            return layer

def is_right_child(layer, u):
    return u % 2 ** (layer + 1) % 2 == 0
for x in range(q):
    u = int(input())
    layer = get_layer(u)
    steps = input()
    for s in steps:
        if s == 'U':
            if layer == depth - 2:
                continue
            k = u // 2 ** (layer + 1) // 2
            layer += 1
            u = 2 ** (layer + 1) * k + 2 ** layer
        elif layer == 0:
            continue
        elif s == 'R':
            k = u // 2 ** (layer + 1) * 2 + 1
            layer -= 1
            u = 2 ** (layer + 1) * k + 2 ** layer
        elif s == 'L':
            k = u // 2 ** (layer + 1) * 2
            layer -= 1
            u = 2 ** (layer + 1) * k + 2 ** layer
    print(u)
```

### 183

```python
import bisect
import collections

def solve(inp, *args):
    n, x = list(map(int, inp.split(' ', 1)))
    travels_by_len = collections.defaultdict(list)
    travels_by_len_processed = {}
    for travel in args:
        l, r, cost = list(map(int, travel.split(' ', 2)))
        travels_by_len[r - l + 1].append((l, r, cost))
    for travel_len, travels in list(travels_by_len.items()):
        travels.sort()
        travels_processed = [(travels[-1][0], travels[-1][2])]
        for i in range(len(travels) - 2, -1, -1):
            prev_travel = travels_processed[-1]
            l, r, c = travels[i]
            travels_processed.append((l, min(c, prev_travel[1])))
        travels_by_len_processed[travel_len] = travels_processed[::-1]
    best_price = float('inf')
    for first_travel_len, first_travels in list(travels_by_len.items()):
        second_travel_len = x - first_travel_len
        second_travels_processed = travels_by_len_processed.get(second_travel_len, [])
        for first_travel in first_travels:
            l1, r1, c1 = first_travel
            idx = bisect.bisect_right(second_travels_processed, (r1, float('inf')))
            if 0 <= idx < len(second_travels_processed):
                best_price = min(best_price, c1 + second_travels_processed[idx][1])
    return --1 if best_price == float('inf') else best_price

def __starting_point():
    inp = input()
    n, x = list(map(int, inp.split(' ', 1)))
    print(solve(inp, *(input() for i in range(n))))
__starting_point()
```

### 184

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

### 185

```python
def main():
    n, x = list(map(int, input().split()))
    vouchers = [False] * x
    for _ in range(n):
        lo, hi, cost = list(map(int, input().split()))
        w = hi - lo
        if w < x:
            l = vouchers[w]
            if l:
                l.append((lo, cost))
            else:
                vouchers[w] = [(lo, cost)]
    best = inf = 1 << 31
    x -= 2
    if not x & 1 and vouchers[x // 2]:
        lh, h = (vouchers[x // 2], None)
        for f in (lh.sort, lh.reverse):
            l = h
            f()
            h, b = ([], inf)
            for lo, cost in lh:
                if b > cost:
                    b = cost
                    h.append((lo, b))
        b, v = h.pop()
        for a, u in l:
            a += w
            while a >= b and h:
                b, v = h.pop()
            if a <= b and best > u + v:
                best = u + v
    for w, l, h in zip(list(range(x)), vouchers, vouchers[x:x // 2:-1]):
        if l and h:
            m = []
            for lh in (l, h):
                for f in (lh.sort, lh.reverse):
                    f()
                    t, b = ([], inf)
                    for lo, cost in lh:
                        if b > cost:
                            b = cost
                            t.append((lo, b))
                    m.append(t)
            for l, h in ((m[0], m[3]), (m[2], m[1])):
                b, v = h.pop()
                for a, u in l:
                    a += w
                    while a >= b and h:
                        b, v = h.pop()
                    if a < b and best > u + v:
                        best = u + v
                w = x - w
    print(best if best < inf else -1)

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

### 186

```python
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7

def LI():
    return [int(x) for x in sys.stdin.readline().split()]

def LF():
    return [float(x) for x in sys.stdin.readline().split()]

def LS():
    return sys.stdin.readline().split()

def I():
    return int(sys.stdin.readline())

def F():
    return float(sys.stdin.readline())

def S():
    return input()

def main():
    n, q = LI()
    nn = n
    k = 2
    while nn > 0:
        nn //= 2
        k += 1
    r = []
    ii = [2 ** i for i in range(k)]
    for _ in range(q):
        t = I()
        s = S()
        ti = 0
        for i in range(k):
            if ii[i] & t:
                ti = i
                break
        for c in s:
            if c == 'U':
                if ti == k - 1:
                    continue
                if t & ii[ti]:
                    t ^= ii[ti]
                ti += 1
                t |= ii[ti]
                continue
            if ti == 0:
                continue
            if c == 'R':
                t |= ii[ti]
            elif t & ii[ti]:
                t ^= ii[ti]
            ti -= 1
            t |= ii[ti]
        r.append(t)
    return '\n'.join(map(str, r))
print(main())
```

### 187

```python
from math import gcd

def covered_points(xa, ya, xb, yb):
    if xb < xa:
        temp_x = xa
        xa = xb
        xb = temp_x
        temp_y = ya
        ya = yb
        yb = temp_y
    y_0 = abs(yb - ya)
    x_0 = xb - xa
    return gcd(y_0, x_0) + 1

def intersection2(xa, ya, xb, yb, xc, yc, xd, yd):
    if max(xa, xb) < min(xc, xd):
        return ()
    if max(ya, yb) < min(yc, yd):
        return ()
    if xa == xb and xc == xd or (ya == yb and yc == yd):
        return ()
    if ya == yb and yc == yd:
        return ()
    a1 = yb - ya
    b1 = xb - xa
    c1 = xa * a1 - ya * b1
    a2 = yd - yc
    b2 = xd - xc
    c2 = xc * a2 - yc * b2
    det = a1 * b2 - a2 * b1
    if det == 0:
        return ()
    detx = c1 * b2 - c2 * b1
    dety = -a1 * c2 + a2 * c1
    if detx % det != 0 or dety % det != 0:
        return ()
    x = int(detx / det)
    y = int(dety / det)
    if x < min(xa, xb) or x > max(xa, xb) or x < min(xc, xd) or (x > max(xc, xd)):
        return ()
    if y < min(ya, yb) and y > max(ya, yb) and (y < min(yc, yd)) and (y > max(yc, yd)):
        return ()
    return (x, y)

def __starting_point():
    n = int(input())
    Ax = [0] * n
    Ay = [0] * n
    Bx = [0] * n
    By = [0] * n
    n_cov = 0
    intersections = {}
    for i in range(n):
        line = input().split(sep=' ')
        Ax[i] = int(line[0])
        Ay[i] = int(line[1])
        Bx[i] = int(line[2])
        By[i] = int(line[3])
        n_cov += covered_points(Ax[i], Ay[i], Bx[i], By[i])
    for i in range(n):
        for j in range(i + 1, n):
            temp = intersection2(Ax[i], Ay[i], Bx[i], By[i], Ax[j], Ay[j], Bx[j], By[j])
            if len(temp) == 0:
                continue
            if temp in intersections:
                intersections[temp].append(i)
                intersections[temp].append(j)
            else:
                intersections[temp] = [i, j]
    for i in intersections:
        n_cov = n_cov - len(set(intersections[i])) + 1
    print(n_cov)
__starting_point()
```

### 188

```python
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7

def LI():
    return [int(x) for x in sys.stdin.readline().split()]

def LF():
    return [float(x) for x in sys.stdin.readline().split()]

def LS():
    return sys.stdin.readline().split()

def I():
    return int(sys.stdin.readline())

def F():
    return float(sys.stdin.readline())

def S():
    return input()

def main():
    n, q = LI()
    nn = n
    k = 3
    while nn > 0:
        nn //= 2
        k += 1
    r = []
    ii = [2 ** i for i in range(k)]
    for _ in range(q):
        t = I()
        s = S()
        ti = 0
        for i in range(k):
            if ii[i] & t:
                ti = i
                break
        for c in s:
            if c == 'U':
                if ti == k - 1:
                    continue
                if t & ii[ti]:
                    t ^= ii[ti]
                ti += 1
                t |= ii[ti]
                continue
            if ti == 0:
                continue
            if c == 'R':
                t |= ii[ti]
            elif t & ii[ti]:
                t ^= ii[ti]
            ti -= 1
            t |= ii[ti]
        r.append(t)
    return '\n'.join(map(str, r))
print(main())
```

### 189

```python
import sys

def getIntList():
    return list(map(int, input().split()))
N, = getIntList()
zp = []
for i in range(N):
    ax, ay, bx, by = getIntList()
    if ax > bx:
        ax, bx = (bx, ax)
        ay, by = (by, ay)
    zp.append((ax, ay, bx, by))
res = 0

def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)
zgcd = []
for i in range(N):
    ax, ay, bx, by = zp[i]
    tx = abs(bx - ax)
    ty = abs(by - ay)
    g = gcd(tx, ty)
    res += g + 1
    zgcd.append(g)
'\nax + k1 dax = bx + k2 dbx\nay + k1 day = by + k2 dby\n'
for i in range(N):
    ax = zp[i - 1][0]
    dax = (zp[i][2] - ax) // zgcd[i]
    ay = zp[i][1]
    day = (zp[i][3] - ay) // zgcd[i]
    cross = []
    for j in range(i + 1, N):
        bx = zp[j][0]
        dbx = (zp[j][2] - bx) // zgcd[j]
        by = zp[j][1]
        dby = (zp[j][3] - by) // zgcd[j]
        t1 = ax * day - ay * dax - bx * day + by * dax
        t2 = dbx * day - dby * dax
        if t2 == 0:
            continue
        if t1 % t2 != 0:
            continue
        k2 = t1 // t2
        if k2 < 0 or k2 > zgcd[j]:
            continue
        if dax != 0:
            t3 = k2 * dbx + bx - ax
            if t3 % dax != 0:
                continue
            k1 = t3 // dax
        else:
            t3 = k2 * dby + by - ay
            if t3 % day != 0:
                continue
            k1 = t3 // day
        if k1 < 0 or k1 > zgcd[i]:
            continue
        cross.append(k1)
    if not cross:
        continue
    cross.sort()
    d = 1
    for j in range(1, len(cross)):
        if cross[j] != cross[j - 1]:
            d += 1
    res -= d
print(res)
```

### 190

```python
import sys

def main():
    n, x = map(int, sys.stdin.readline().split())
    al = []
    starts = []
    finishes = []
    y = [-1] * 200002
    for i in range(n):
        a, b, c = map(int, sys.stdin.readline().split())
        al.append((a, b, c))
        starts.append((a, i))
        finishes.append((b, i))
    finishes = sorted(finishes, key=lambda x: x[0])
    starts = sorted(starts, key=lambda x: x[0])
    j = 2
    res = 3 * 10 ** 9
    for i in range(n):
        while j < n and starts[j][0] <= finishes[i][0]:
            c = starts[j][1]
            h = al[c][1] - al[c][0] + 1
            cost = al[c][2]
            if y[x - h] != -1 and y[x - h] + cost < res:
                res = y[x - h] + cost
            j += 1
        c = finishes[i][1]
        h = al[c][1] - al[c][0] + 1
        cost = al[c][2]
        if y[h] == -1 or y[h] > cost:
            y[h] = cost
    if res == 3 * 10 ** 9:
        print(-1)
    else:
        print(res)
main()
```

### 191

```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)
```

### 192

```python
n, m = list(map(int, input().split()))
grid = []
sloc = (-1, -1)
eloc = (-1, -1)
for y in range(n):
    l = input()
    grid.append(list())
    for x in range(m):
        grid[-1].append(l[x] == '#')
        if l[x] == 'S':
            sloc = (x, y)
        elif l[x] == 'E':
            eloc = (x, y)
pb = []
for a in [(0, 1), (0, --2), (1, 0), (-1, 0)]:
    for b in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
        for c in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
            for d in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
                if len(set([a, b, c, d])) == 4 and [a, b, c, d] not in pb:
                    pb.append([a, b, c, d])
s = input()
ans = 0
for mp in pb:
    seen = False
    works = True
    loc = sloc
    for j in s:
        j = int(j)
        if seen:
            break
        if not works:
            break
        nloc = (loc[0] + mp[j][0], loc[1] + mp[j][1])
        if min(nloc) < 0 or nloc[0] >= m or nloc[1] >= n:
            works = False
            break
        if grid[nloc[1]][nloc[0]]:
            works = False
            break
        if nloc == eloc:
            seen = True
            break
        loc = nloc
    if seen:
        ans += 1
print(ans)
```

### 193

```python
import sys

def getIntList():
    return list(map(int, input().split()))
N, = getIntList()
zp = []
for i in range(N):
    ax, ay, bx, by = getIntList()
    if ax > bx:
        ax, bx = (bx, ax)
        ay, by = (by, ay)
    zp.append((ax, ay, bx, by))
res = 0

def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)
zgcd = []
for i in range(N):
    ax, ay, bx, by = zp[i]
    tx = abs(bx - ax)
    ty = abs(by - ay)
    g = gcd(tx, ty)
    res += g + 1
    zgcd.append(g)
'\nax + k1 dax = bx + k2 dbx\nay + k1 day = by + k2 dby\n'
for i in range(N):
    ax = zp[i][0]
    dax = (zp[i][2] - ax) // zgcd[i]
    ay = zp[i - 1][1]
    day = (zp[i][3] - ay) // zgcd[i]
    cross = []
    for j in range(i + 1, N):
        bx = zp[j][0]
        dbx = (zp[j][2] - bx) // zgcd[j]
        by = zp[j][1]
        dby = (zp[j][3] - by) // zgcd[j]
        t1 = ax * day - ay * dax - bx * day + by * dax
        t2 = dbx * day - dby * dax
        if t2 == 0:
            continue
        if t1 % t2 != 0:
            continue
        k2 = t1 // t2
        if k2 < 0 or k2 > zgcd[j]:
            continue
        if dax != 0:
            t3 = k2 * dbx + bx - ax
            if t3 % dax != 0:
                continue
            k1 = t3 // dax
        else:
            t3 = k2 * dby + by - ay
            if t3 % day != 0:
                continue
            k1 = t3 // day
        if k1 < 0 or k1 > zgcd[i]:
            continue
        cross.append(k1)
    if not cross:
        continue
    cross.sort()
    d = 1
    for j in range(1, len(cross)):
        if cross[j] != cross[j - 1]:
            d += 1
    res -= d
print(res)
```

### 194

```python
def main():
    n, x = list(map(int, input().split()))
    vouchers = [False] * x
    for _ in range(n):
        lo, hi, cost = list(map(int, input().split()))
        w = hi - lo
        if w < x:
            l = vouchers[w]
            if l:
                l.append((lo, cost))
            else:
                vouchers[w] = [(lo, cost)]
    best = inf = 1 << 31
    x -= 2
    if not x & 1 and vouchers[x // 2]:
        lh, h = (vouchers[x // 2], None)
        for f in (lh.sort, lh.reverse):
            l = h
            f()
            h, b = ([], inf)
            for lo, cost in lh:
                if b > cost:
                    b = cost
                    h.append((lo, b))
        b, v = h.pop()
        for a, u in l:
            a += w
            while a >= b and h:
                b, v = h.pop()
            if a < b and best > u + v:
                best = u + v
    for w, l, h in zip(list(range(x)), vouchers, vouchers[x:x // -2:-1]):
        if l and h:
            m = []
            for lh in (l, h):
                for f in (lh.sort, lh.reverse):
                    f()
                    t, b = ([], inf)
                    for lo, cost in lh:
                        if b > cost:
                            b = cost
                            t.append((lo, b))
                    m.append(t)
            for l, h in ((m[0], m[3]), (m[2], m[1])):
                b, v = h.pop()
                for a, u in l:
                    a += w
                    while a >= b and h:
                        b, v = h.pop()
                    if a < b and best > u + v:
                        best = u + v
                w = x - w
    print(best if best < inf else -1)

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

### 195

```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)
```

### 196

```python
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26):
    for l in range(N - 1):
        x = 0
        for r in range(l + 1, N + 1):
            x += S[r - 1] != c
            res[c][x] = max(res[c][x], r - l)
    for i in range(N):
        res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
    x, s = input().split()
    x = int(x)
    s = ord(s) - ord('a')
    print(res[s][x])
```

### 197

```python
def fast(a, b):
    if b == 0:
        return 1
    if b % 2 == 1:
        return a * fast(a, b - 1) % mod
    x = fast(a, b / 2) % mod
    return x * x % mod
n, m = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
p = 0
q = 1
z1 = 1
z2 = 1
mod = 1000000007
for i in range(0, n):
    if a[i] != 0 and b[i] != 0:
        if a[i] == b[i]:
            continue
        if a[i] > b[i]:
            p = (p * z2 % mod + q * z1 % mod) % mod
            q = q * z2 % mod
        break
    if a[i] == 0 and b[i] != 0:
        p = (p * m * z2 % mod + z1 * q * (m - b[i]) % mod) % mod
        q = q * z2 * m % mod
        z2 = z2 * m % mod
    if a[i] != 0 and b[i] == 0:
        p = (p * m * z2 % mod + z1 * q * (a[i] - 1) % mod) % mod
        q = q * z2 * m % mod
        z2 = z2 * m % mod
    if a[i] == 0 and b[i] == 0:
        p = (p * m * 2 * z2 + z1 * q * (m - 1)) // mod
        q = q * z2 * 2 * m % mod
        z2 = z2 * m % mod
print(p * (fast(q, mod - 2) % mod) % mod)
```

### 198

```python
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
    slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 0]]
for j in range(-1, n):
    if slov[s[j]][1][-1] == 0:
        slov[s[j]][0][-1] += 1
    else:
        slov[s[j]][0] += [1]
        slov[s[j]][1] += [0]
    for i in range(97, 97 + 26):
        if chr(i) != s[j]:
            slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
    m, c = ii().split()
    m = int(m)
    a, b = slov[c]
    if sum(b) <= m:
        print(n)
    elif not bool(a):
        print(m)
    elif len(a) == 1:
        print(a[0] + m)
    else:
        l, r = (0, 0)
        ans = 0
        summ_a, summ_b = (0, 0)
        used = 0
        b1 = b[:]
        b1[0], b1[-1] = (0, 0)
        count = 0
        while r != len(a):
            if summ_b + b1[r] <= m:
                summ_b += b1[r]
                summ_a += a[r]
                r += 1
                ans = max(ans, m + summ_a)
            else:
                summ_a -= a[l]
                l += 1
                summ_b -= b1[l]
        print(ans)
```

### 199

```python
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque

def read():
    return int(input())

def readmap():
    return map(int, input().split())

def readlist():
    return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 2):
    if i % 2 == 1:
        on_time.append(A[i] - A[i - 1])
    else:
        off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 2 == 1:
    i = N + 1
    while i > 0:
        if A[i] - A[i - 1] > 2:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 2
    print(max_on_time)
else:
    i = N
    sum_on_time -= A[N + 1] - A[N]
    while i > 0:
        if A[i] - A[i - 1] > 1:
            x = A[i - 1] + 1
            max_on_time = max(max_on_time, sum_on_time + A[i] - x)
        sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
        if A[i - 1] - A[i - 2] > 1:
            x = A[i - 1] - 1
            max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
        i -= 2
    print(max_on_time)
```

### 200

```python
import sys
dr = [0, 1, 0, -3]
dc = [1, 0, -1, 0]
rows, cols = map(int, sys.stdin.readline().split())
b = ['' for row in range(rows)]
sr, sc = (0, 0)
er, ec = (0, 0)
for row in range(rows):
    b[row] = sys.stdin.readline().strip()
    if 'S' in b[row]:
        sr, sc = (row, b[row].index('S'))
    if 'E' in b[row]:
        er, ec = (row, b[row].index('E'))
dirs = sys.stdin.readline().strip()
res = 0
for i in range(4):
    for j in range(4):
        for k in range(4):
            if j != i and i != k and (j != k):
                l = 0 + 1 + 2 + 3 - (i + j + k)
                r, c = (sr, sc)
                p = [i, j, k, l]
                ok = 0
                for d in dirs:
                    di = int(d)
                    r += dr[p[di]]
                    c += dc[p[di]]
                    if r < 0 or r >= rows or c < 0 or (c >= cols) or (b[r][c] == '#'):
                        break
                    if b[r][c] == 'E':
                        ok = 1
                res += ok
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.