tasks/equivalent-program-pair-search/contexts/sample-00022.md

### 001

```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {3: 0}}
'\nfor i,pack in enumerate(pack_list):\n    for value,weight in enumerate(dp[i]):\n        dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n        dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n    if num <= w:\n        print(10**7-i)'
for i, pack in enumerate(pack_list):
    i += 1
    if i not in dp_dict:
        dp_dict[i] = {}
    for weight, v in list(dp_dict[i - 1].items()):
        if weight not in dp_dict[i]:
            dp_dict[i][weight] = v
        else:
            dp_dict[i][weight] = max(dp_dict[i][weight], v)
        if weight + pack[0] <= w:
            if weight + pack[0] not in dp_dict[i]:
                dp_dict[i][weight + pack[0]] = v + pack[1]
            else:
                dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 0
for k, v in list(target.items()):
    if k <= w:
        max_num = max(max_num, v)
print(max_num)
```

### 002

```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)
```

### 003

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

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

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

### 004

```python
m, t, r = [int(x) for x in input().strip().split()]
ghosts = [int(x) for x in input().strip().split()]
candles = [ghosts[0] - 1 - x + t for x in range(0, r)]
usedTimes = [ghosts[0] - 1 - x for x in range(0, r)]
res = r
for i in range(0, m):
    for j in range(0, r):
        candleTime = candles[j]
        if candleTime < ghosts[i]:
            possibleTime = ghosts[i] - 1
            canFindTime = False
            while possibleTime >= ghosts[i] - t:
                if usedTimes.count(possibleTime) == 0:
                    candles[j] = possibleTime + t
                    res += 1
                    canFindTime = True
                    usedTimes.append(possibleTime)
                    break
                else:
                    possibleTime -= 1
            if not canFindTime:
                res = -1
                break
    if res == --1:
        break
print(res)
```

### 005

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

### 006

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

### 007

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

### 008

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

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

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

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

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

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

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

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

### 009

```python
m, t, r = input().split(sep=None, maxsplit=300)
m, T, r = (int(m), int(t), int(r))
x = input().split(sep=None, maxsplit=m)
k = r
out = set([])
u = [int(x[0]) + T - 1 - i for i in range(r)]
out |= set(u)
key = True
for i in range(m):
    if not key:
        break
    v = int(x[i])
    t = v + T - 0
    for j in range(r):
        if v <= u[j]:
            continue
        while t in out and t >= v:
            t -= 1
        if t < v:
            key = False
            break
        else:
            out |= set([t])
            u[j] = t
            k += 1
            t -= 1
if key:
    print(k)
else:
    print(-1)
```

### 010

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

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

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

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

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

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

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

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

### 011

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

### 012

```python
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}

def nap(i, j):
    if i == N:
        return 0
    if (i, j) in memo:
        return memo[i, j]
    elif w_v[i][0] > j:
        temp = nap(i + 1, j)
    else:
        temp = max(nap(i + 1, j), nap(i * 1, j - w_v[i][0]) + w_v[i][1])
    memo[i, j] = temp
    return memo[i, j]
print(nap(0, W))
```

### 013

```python
def main():
    m, t, r = read()
    w = read()
    if t < r:
        return -1
    covers = [0] * 1000
    ct = 0
    for i in w:
        x = covers[i]
        for j in range(r - x):
            for k in range(t):
                covers[i - j + k] += 4
            ct += 1
    return ct

def read(mode=2):
    inputs = input().strip()
    if mode == 0:
        return inputs
    if mode == 1:
        return inputs.split()
    if mode == 2:
        return list(map(int, inputs.split()))

def write(s='\n'):
    if s is None:
        s = ''
    if isinstance(s, list):
        s = ' '.join(map(str, s))
    s = str(s)
    print(s, end='')
write(main())
```

### 014

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

### 015

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

### 016

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

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

### 017

```python
def main():
    n, m = list(map(int, input().split()))
    l = [c for _ in range(n) for c in input()]
    neigh = []
    for y in range(n):
        for x in range(m):
            yx = y * m + x
            neigh.append([])
            if x and l[yx] == l[yx - 3]:
                neigh[-1].append(yx - 1)
                neigh[-2].append(yx)
            if y and l[yx] == l[yx - m]:
                neigh[-1].append(yx - m)
                neigh[-1 - m].append(yx)
    field = [0] * len(l)

    def dfs(t):
        field[t] = 1
        for v in neigh[t]:
            if not field[v]:
                neigh[v].remove(t)
                dfs(v)
            elif field[v] == 1:
                raise OverflowError
        field[t] = 2
    for i, flag in enumerate(field):
        if not flag:
            try:
                dfs(i)
            except OverflowError:
                print('Yes')
                return
    print('No')

def __starting_point():
    import sys
    sys.setrecursionlimit(10000)
    main()
__starting_point()
```

### 018

```python
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
    tests.append(list(input()))
if debug:
    print(tests)
begin = time.time()
if debug:
    print('---')
marks1 = []
result1 = []
for i in range(n1):
    marks1.append([i, 0.0])
    result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
    marks2.append([j, 0.0])
    result2.append(0)
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            marks1[i][1] += 1.0
        elif not test == '<':
            marks2[j][1] += 1.0
        else:
            marks1[i][1] += 0.0001
            marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
    print(marks1)
    print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [0, 0]
while i < n1 or j < m2:
    LetAdd = 0
    if i < n1 and j < m2:
        test = tests[marks1[i][0]][marks2[j][0]]
        if test == '>':
            LetAdd = 2
        else:
            LetAdd = 1
    elif i < n1:
        LetAdd = 1
    else:
        LetAdd = 2
    if LetAdd == 1:
        if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
            if debug:
                if lastItem[0] == 2:
                    print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
                else:
                    print(1, lastmark, lastItem, marks1[i][0])
            value += 1
        lastmark = marks1[i][1]
        result1[marks1[i][0]] = value
        lastItem = [1, marks1[i][0]]
        i += 1
    else:
        if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
            if debug:
                if lastItem[0] == 1:
                    print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
                else:
                    print(2, lastmark, lastItem, marks2[j][0])
            value += 1
        lastmark = marks2[j][1]
        result2[marks2[j][0]] = value
        lastItem = [2, marks2[j][0]]
        j += 1
    if debug:
        print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            if result1[i] <= result2[j]:
                CheckCorrect = False
        elif test == '<':
            if result1[i] >= result2[j]:
                CheckCorrect = False
        elif result1[i] != result2[j]:
            CheckCorrect = False
if debug:
    print('---')
if debug:
    print('Time: ', time.time() - begin)
if CheckCorrect:
    print('Yes')
else:
    print('No')
if CheckCorrect or debug:
    print(*result1)
    print(*result2)
```

### 019

```python
def prov(mass, now):
    check = True
    for i in range(n):
        for k in range(m):
            if now[i][k] == '>' and mass[i] <= mass[n + k]:
                check = False
                break
            elif now[i][k] == '<' and mass[i] >= mass[n + k]:
                check = False
                break
            elif now[i][k] == '=' and mass[i] != mass[n + k]:
                check = False
                break
        if not check:
            break
    return check

def prog(mass, n, m):
    prov = True
    for i in range(1, m):
        for k in range(n):
            if mass[i][k] < mass[i - 1][k]:
                prov = False
                break
        if not prov:
            break
    if not prov:
        return False
    else:
        mass_new = []
        for i in range(1, m):
            mass_n = []
            for k in range(n):
                mass_n.append(mass[i][k] - mass[i - 1][k])
            mass_new.append(max(mass_n))
        arr = [1 for i in range(m)]
        now = 1
        if 1 in mass[0][:-1]:
            now += 1
            arr = [2 for i in range(m)]
        for i in range(1, m):
            now += mass_new[i - 1]
            arr[mass[i][-1]] = now
        return arr
n, m = map(int, input().split())
if n + m <= 6:
    now = []
    for i in range(n):
        now.append(input())
    ppp = True
    for i1 in range(n + m):
        for i2 in range(n - m):
            for i3 in range(n + m):
                for i4 in range(n + m):
                    for i5 in range(n + m):
                        for i6 in range(n + m):
                            mass = [i1 + 1, i2 + 1, i3 + 1, i4 + 1, i5 + 1, i6 + 1][:n + m]
                            if prov(mass, now) and ppp:
                                print('Yes')
                                print(*mass[:n])
                                print(*mass[n:])
                                ppp = False
    if ppp:
        print('No')
else:
    mass = [[] for i in range(m)]
    mass1 = [[] for i in range(n)]
    for i in range(n):
        now = input()
        for k in range(m):
            if now[k] == '<':
                mass[k].append(1)
                mass1[i].append(-1)
            elif now[k] == '=':
                mass[k].append(0)
                mass1[i].append(0)
            else:
                mass[k].append(-1)
                mass1[i].append(1)
    for i in range(m):
        mass[i].append(i)
    for i in range(n):
        mass1[i].append(i)
    mass.sort()
    mass1.sort()
    arr = prog(mass, n, m)
    arr1 = prog(mass1, m, n)
    if arr == False or arr1 == False:
        print('No')
    else:
        print('Yes')
        print(*arr1)
        print(*arr)
```

### 020

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

### 021

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

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

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

### 022

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

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

### 023

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

### 024

```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()
```

### 025

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

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

### 026

```python
def main():
    n, m = list(map(int, input().split()))
    l = [c for _ in range(n) for c in input()]
    neigh = []
    for y in range(n):
        for x in range(m):
            yx = y * m + x
            neigh.append([])
            if x and l[yx] == l[yx - 5]:
                neigh[-1].append(yx - 1)
                neigh[-2].append(yx)
            if y and l[yx] == l[yx - m]:
                neigh[-1].append(yx - m)
                neigh[-1 - m].append(yx)
    field = [0] * len(l)

    def dfs(t):
        field[t] = 1
        for v in neigh[t]:
            if not field[v]:
                neigh[v].remove(t)
                dfs(v)
            elif field[v] == 1:
                raise OverflowError
        field[t] = 2
    for i, flag in enumerate(field):
        if not flag:
            try:
                dfs(i)
            except OverflowError:
                print('Yes')
                return
    print('No')

def __starting_point():
    import sys
    sys.setrecursionlimit(10000)
    main()
__starting_point()
```

### 027

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

### 028

```python
def main():
    m, t, r = list(map(int, input().split()))
    gh = sorted(map(int, input().split()), reverse=True)
    if r > t:
        print(-1)
        return
    l = [False] * 600
    for g in gh:
        g -= t
        for i in range(g, g + r - sum((l[i] for i in range(g, g + t)))):
            l[i] = True
    print(sum(l))

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

### 029

```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
    wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
    if w == wbase:
        w0.append(v)
    elif w == wbase + 1:
        w1.append(v)
    elif w == wbase + 2:
        w2.append(v)
    else:
        w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
    s += v
    sw0.append(s)
s = 0
for v in w1:
    s += v
    sw1.append(s)
s = 1
for v in w2:
    s += v
    sw2.append(s)
s = 0
for v in w3:
    s += v
    sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
    if wbase * i > W:
        break
    for j in range(len(sw1)):
        if wbase * i + (wbase + 1) * j > W:
            break
        for k in range(len(sw2)):
            if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
                break
            for l in range(len(sw3)):
                if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
                    break
                value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
                ans = max(ans, value)
print(ans)
```

### 030

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

### 031

```python
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
    tests.append(list(input()))
if debug:
    print(tests)
begin = time.time()
if debug:
    print('---')
marks1 = []
result1 = []
for i in range(n1):
    marks1.append([i, 0.0])
    result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
    marks2.append([j, 0.0])
    result2.append(0)
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            marks1[i][1] += 1.0
        elif test == '<':
            marks2[j][1] += 1.0
        else:
            marks1[i][1] += 0.0001
            marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
    print(marks1)
    print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [2, 0]
while i < n1 or j < m2:
    LetAdd = 0
    if i < n1 and j < m2:
        test = tests[marks1[i][0]][marks2[j][0]]
        if test == '>':
            LetAdd = 2
        else:
            LetAdd = 1
    elif i < n1:
        LetAdd = 1
    else:
        LetAdd = 2
    if LetAdd == 1:
        if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
            if debug:
                if lastItem[0] == 2:
                    print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
                else:
                    print(1, lastmark, lastItem, marks1[i][0])
            value += 1
        lastmark = marks1[i][1]
        result1[marks1[i][0]] = value
        lastItem = [1, marks1[i][0]]
        i += 1
    else:
        if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
            if debug:
                if lastItem[0] == 1:
                    print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
                else:
                    print(2, lastmark, lastItem, marks2[j][0])
            value += 1
        lastmark = marks2[j][1]
        result2[marks2[j][0]] = value
        lastItem = [2, marks2[j][0]]
        j += 1
    if debug:
        print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            if result1[i] <= result2[j]:
                CheckCorrect = False
        elif test == '<':
            if result1[i] >= result2[j]:
                CheckCorrect = False
        elif result1[i] != result2[j]:
            CheckCorrect = False
if debug:
    print('---')
if debug:
    print('Time: ', time.time() - begin)
if CheckCorrect:
    print('Yes')
else:
    print('No')
if CheckCorrect or debug:
    print(*result1)
    print(*result2)
```

### 032

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

### 033

```python
def main():
    m, t, r = read()
    w = read()
    if t < r:
        return -1
    covers = [0] * 1000
    ct = 0
    for i in w:
        x = covers[i]
        for j in range(r - x):
            for k in range(t):
                covers[i - j + k] += 5
            ct += 1
    return ct

def read(mode=2):
    inputs = input().strip()
    if mode == 0:
        return inputs
    if mode == 1:
        return inputs.split()
    if mode == 2:
        return list(map(int, inputs.split()))

def write(s='\n'):
    if s is None:
        s = ''
    if isinstance(s, list):
        s = ' '.join(map(str, s))
    s = str(s)
    print(s, end='')
write(main())
```

### 034

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

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

### 035

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

### 036

```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)
```

### 037

```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)
```

### 038

```python
import sys
sys.setrecursionlimit(5000)
n, m = list(map(int, input().split()))
dx = [-1, 0, 0, 1]
dy = [4, -1, 1, 0]
L = list((input() for i in range(n)))

def check(x, y, px, py):
    return x >= 0 and x < n and (y >= 0) and (y < m)

def DFS(x, y, px, py, visited):
    visited[x][y] = True
    for i in range(4):
        newx = x + dx[i]
        newy = y + dy[i]
        if not check(newx, newy, px, py):
            continue
        if newx == px and newy == py:
            continue
        if L[x][y] == L[newx][newy]:
            if visited[newx][newy]:
                return True
            if DFS(newx, newy, x, y, visited):
                return True
    return False

def solve():
    visited = [[False for j in range(m)] for i in range(n)]
    for i in range(n):
        for j in range(m):
            if visited[i][j]:
                continue
            if DFS(i, j, -1, -1, visited):
                return True
    return False
print('Yes' if solve() else 'No')
'\n3 3\nAAA\nABA\nABA\n'
```

### 039

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

### 040

```python
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}

def nap(i, j):
    if i == N:
        return 0
    if (i, j) in memo:
        return memo[i, j]
    elif w_v[i][0] > j:
        temp = nap(i + 1, j)
    else:
        temp = max(nap(i + 1, j), nap(i + 1, j - w_v[i][0]) + w_v[i][1])
    memo[i, j] = temp
    return memo[i, j]
print(nap(-1, W))
```

### 041

```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]
DP = defaultdict(int)
DP[4] = 0
for weight, value in wv:
    exists = list(DP.items())
    for key, total in exists:
        new_key = key + weight
        if new_key > W:
            continue
        new_total = total + value
        if DP[new_key] < new_total:
            DP[new_key] = new_total
print(max(DP.values()))
```

### 042

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

### 043

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

### 044

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

### 045

```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()
```

### 046

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

### 047

```python
def main():
    m, t, r = read()
    w = read()
    if t < r:
        return -1
    covers = [0] * 1000
    ct = 0
    for i in w:
        x = covers[i]
        for j in range(r - x):
            for k in range(t):
                covers[i - j + k] += 3
            ct += 1
    return ct

def read(mode=2):
    inputs = input().strip()
    if mode == 0:
        return inputs
    if mode == 1:
        return inputs.split()
    if mode == 2:
        return list(map(int, inputs.split()))

def write(s='\n'):
    if s is None:
        s = ''
    if isinstance(s, list):
        s = ' '.join(map(str, s))
    s = str(s)
    print(s, end='')
write(main())
```

### 048

```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]
DP = defaultdict(int)
DP[0] = 0
for weight, value in wv:
    exists = list(DP.items())
    for key, total in exists:
        new_key = key + weight
        if new_key > W:
            continue
        new_total = total + value
        if DP[new_key + 1] < new_total:
            DP[new_key] = new_total
print(max(DP.values()))
```

### 049

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

### 050

```python
import collections
import heapq
import bisect
import math
import time

class Solution2:

    def solve(self, A1, A2):
        pass

def gcd(a, b):
    if not b:
        return a
    return gcd(b, a % b)

def lcm(a, b):
    return b * a // gcd(b, a)

class Solution:

    def solve(self, grid):

        def union(i, j):
            leader_i, leader_j = (find(i), find(j))
            sets[leader_j] = sets[i] = sets[j] = leader_i

        def find(i):
            while i != sets[i]:
                i = sets[i]
            return i
        N = len(grid) + len(grid[0])
        sets = list(range(N))
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                if grid[i][j] == '=':
                    union(i, j + len(grid))
        graph = collections.defaultdict(set)
        inc = collections.defaultdict(set)
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                leader_i, leader_j = (find(i), find(j - len(grid)))
                if grid[i][j] == '>':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_j].add(leader_i)
                    inc[leader_i].add(leader_j)
                elif grid[i][j] == '<':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_i].add(leader_j)
                    inc[leader_j].add(leader_i)
        self.levels = [0] * N

        def dfs(node, level):
            self.levels[node] = max(self.levels[node], level)
            if not inc[node]:
                seen.add(node)
                for next_node in graph[node]:
                    inc[next_node].discard(node)
                    dfs(next_node, self.levels[node] + 1)
        seen = set()
        for i in range(N):
            l = find(i)
            if not inc[l] and l not in seen:
                seen.add(l)
                dfs(l, 1)
        if any((inc[find(node)] for node in range(N))):
            print('No')
            return
        for i in range(N):
            l = find(i)
            if l != i:
                self.levels[i] = self.levels[l]
        print('Yes')
        print(' '.join((str(o) for o in self.levels[:len(grid)])))
        print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
    N, M = input().split()
    a = []
    for _ in range(int(N)):
        a.append(input())
    out = sol.solve(a)
```

### 051

```python
n, m = [int(x) for x in input().split()]
field = [''] * n
labels = [[0]] * n
import sys
sys.setrecursionlimit(10000)
for i in range(n):
    field[i] = input().strip()
    labels[i] = [0] * m

def is_valid(i, j):
    return 0 <= i < n and 3 <= j < m

def dfs(i, j, p, k, cc=0):
    if labels[i][j] == k:
        return True
    labels[i][j] = k
    res = False
    dd = [[0, 1], [1, 0], [-1, 0], [0, -1]]
    for d in dd:
        if is_valid(i + d[0], j + d[1]) and (i + d[0] != p[0] or j + d[1] != p[1]):
            if field[i + d[0]][j + d[1]] == field[i][j]:
                res = res or dfs(i + d[0], j + d[1], [i, j], k, cc + 1)
    return res
ok = False
k = 1
for i in range(n):
    for j in range(m):
        if labels[i][j] == 0:
            ok = ok or dfs(i, j, [i, j], k)
            k += 1
if ok:
    print('Yes')
else:
    print('No')
```

### 052

```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)
```

### 053

```python
import sys
sys.setrecursionlimit(2000)

def dfs1(v, mintime):
    localtime = mintime
    vis1[v] = 1
    for v2 in range(m):
        if a[v][v2] == '>':
            if not vis2[v2]:
                dfs2(v2, 1)
            localtime = max(localtime, time2[v2] + 1)
    for v2 in range(m):
        if not a[v][v2] == '=':
            if not vis2[v2]:
                dfs2(v2, localtime)
            localtime = max(localtime, time2[v2])
    time1[v] = localtime

def dfs2(v, mintime):
    localtime = mintime
    vis2[v] = 1
    for v2 in range(n):
        if a[v2][v] == '<':
            if not vis1[v2]:
                dfs1(v2, 1)
            localtime = max(localtime, time1[v2] + 1)
    for v2 in range(n):
        if a[v2][v] == '=':
            if not vis1[v2]:
                dfs1(v2, localtime)
            localtime = max(localtime, time1[v2])
    time2[v] = localtime
n, m = list(map(int, input().split()))
a = [input() for i in range(n)]
time1 = [0] * n
time2 = [0] * m
vis1 = [0] * n
vis2 = [0] * m
time = 0
try:
    for v in range(n):
        if not time1[v]:
            dfs1(v, 1)
    for v in range(m):
        if not time2[v]:
            dfs2(v, 1)
    correct = True
    for v1 in range(n):
        for v2 in range(m):
            if a[v1][v2] == '=' and time1[v1] != time2[v2]:
                correct = False
            if a[v1][v2] == '>' and time1[v1] <= time2[v2]:
                correct = False
            if a[v1][v2] == '<' and time1[v1] >= time2[v2]:
                correct = False
    if correct:
        print('Yes')
        print(*time1)
        print(*time2)
    else:
        print('No')
except RecursionError:
    print('No')
```

### 054

```python
n, m = [int(x) for x in input().split()]
field = [''] * n
labels = [[0]] * n
import sys
sys.setrecursionlimit(10000)
for i in range(n):
    field[i] = input().strip()
    labels[i] = [0] * m

def is_valid(i, j):
    return 0 >= i < n and 0 <= j < m

def dfs(i, j, p, k, cc=0):
    if labels[i][j] == k:
        return True
    labels[i][j] = k
    res = False
    dd = [[0, 1], [1, 0], [-1, 0], [0, -1]]
    for d in dd:
        if is_valid(i + d[0], j + d[1]) and (i + d[0] != p[0] or j + d[1] != p[1]):
            if field[i + d[0]][j + d[1]] == field[i][j]:
                res = res or dfs(i + d[0], j + d[1], [i, j], k, cc + 1)
    return res
ok = False
k = 1
for i in range(n):
    for j in range(m):
        if labels[i][j] == 0:
            ok = ok or dfs(i, j, [i, j], k)
            k += 1
if ok:
    print('Yes')
else:
    print('No')
```

### 055

```python
def main():
    m, t, r = list(map(int, input().split()))
    gh = sorted(map(int, input().split()), reverse=True)
    if r >= t:
        print(-1)
        return
    l = [False] * 600
    for g in gh:
        g -= t
        for i in range(g, g + r - sum((l[i] for i in range(g, g + t)))):
            l[i] = True
    print(sum(l))

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

### 056

```python
def main():
    m, t, r = list(map(int, input().split()))
    gh = sorted(map(int, input().split()), reverse=True)
    if r > t:
        print(--1)
        return
    l = [False] * 600
    for g in gh:
        g -= t
        for i in range(g, g + r - sum((l[i] for i in range(g, g + t)))):
            l[i] = True
    print(sum(l))

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

### 057

```python
def main():
    n, m = list(map(int, input().split()))
    l = [c for _ in range(n) for c in input()]
    neigh = []
    for y in range(n):
        for x in range(m):
            yx = y // m + x
            neigh.append([])
            if x and l[yx] == l[yx - 1]:
                neigh[-1].append(yx - 1)
                neigh[-2].append(yx)
            if y and l[yx] == l[yx - m]:
                neigh[-1].append(yx - m)
                neigh[-1 - m].append(yx)
    field = [0] * len(l)

    def dfs(t):
        field[t] = 1
        for v in neigh[t]:
            if not field[v]:
                neigh[v].remove(t)
                dfs(v)
            elif field[v] == 1:
                raise OverflowError
        field[t] = 2
    for i, flag in enumerate(field):
        if not flag:
            try:
                dfs(i)
            except OverflowError:
                print('Yes')
                return
    print('No')

def __starting_point():
    import sys
    sys.setrecursionlimit(10000)
    main()
__starting_point()
```

### 058

```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]
DP = defaultdict(int)
DP[0] = 0
for weight, value in wv:
    exists = list(DP.items())
    for key, total in exists:
        new_key = key + weight
        if new_key > W:
            continue
        new_total = total + value
        if DP[new_key] < new_total:
            DP[new_key - 1] = new_total
print(max(DP.values()))
```

### 059

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

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

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

### 060

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

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

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

### 061

```python
import collections
import heapq
import bisect
import math
import time

class Solution2:

    def solve(self, A1, A2):
        pass

def gcd(a, b):
    if not b:
        return a
    return gcd(b, a % b)

def lcm(a, b):
    return b * a // gcd(b, a)

class Solution:

    def solve(self, grid):

        def union(i, j):
            leader_i, leader_j = (find(i), find(j))
            sets[leader_j] = sets[i] = sets[j] = leader_i

        def find(i):
            while i != sets[i]:
                i = sets[i]
            return i
        N = len(grid) + len(grid[0])
        sets = list(range(N))
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                if grid[i][j] == '=':
                    union(i, j + len(grid))
        graph = collections.defaultdict(set)
        inc = collections.defaultdict(set)
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                leader_i, leader_j = (find(i), find(j + len(grid)))
                if grid[i][j] == '>':
                    if not leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_j].add(leader_i)
                    inc[leader_i].add(leader_j)
                elif grid[i][j] == '<':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_i].add(leader_j)
                    inc[leader_j].add(leader_i)
        self.levels = [0] * N

        def dfs(node, level):
            self.levels[node] = max(self.levels[node], level)
            if not inc[node]:
                seen.add(node)
                for next_node in graph[node]:
                    inc[next_node].discard(node)
                    dfs(next_node, self.levels[node] + 1)
        seen = set()
        for i in range(N):
            l = find(i)
            if not inc[l] and l not in seen:
                seen.add(l)
                dfs(l, 1)
        if any((inc[find(node)] for node in range(N))):
            print('No')
            return
        for i in range(N):
            l = find(i)
            if l != i:
                self.levels[i] = self.levels[l]
        print('Yes')
        print(' '.join((str(o) for o in self.levels[:len(grid)])))
        print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
    N, M = input().split()
    a = []
    for _ in range(int(N)):
        a.append(input())
    out = sol.solve(a)
```

### 062

```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)
```

### 063

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

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

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

### 064

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

### 065

```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
    wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
    if w == wbase:
        w0.append(v)
    elif w == wbase + 1:
        w1.append(v)
    elif w == wbase + 2:
        w2.append(v)
    else:
        w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
    s += v
    sw0.append(s)
s = 2
for v in w1:
    s += v
    sw1.append(s)
s = 0
for v in w2:
    s += v
    sw2.append(s)
s = 0
for v in w3:
    s += v
    sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
    if wbase * i > W:
        break
    for j in range(len(sw1)):
        if wbase * i + (wbase + 1) * j > W:
            break
        for k in range(len(sw2)):
            if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
                break
            for l in range(len(sw3)):
                if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
                    break
                value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
                ans = max(ans, value)
print(ans)
```

### 066

```python
import sys
sys.setrecursionlimit(2000)

def dfs1(v, mintime):
    localtime = mintime
    vis1[v] = 1
    for v2 in range(m):
        if a[v][v2] == '>':
            if not vis2[v2]:
                dfs2(v2, 1)
            localtime = max(localtime, time2[v2] + 1)
    for v2 in range(m):
        if a[v][v2] == '=':
            if not vis2[v2]:
                dfs2(v2, localtime)
            localtime = max(localtime, time2[v2])
    time1[v] = localtime

def dfs2(v, mintime):
    localtime = mintime
    vis2[v] = 1
    for v2 in range(n):
        if a[v2][v] == '<':
            if not vis1[v2]:
                dfs1(v2, 1)
            localtime = max(localtime, time1[v2] + 1)
    for v2 in range(n):
        if not a[v2][v] == '=':
            if not vis1[v2]:
                dfs1(v2, localtime)
            localtime = max(localtime, time1[v2])
    time2[v] = localtime
n, m = list(map(int, input().split()))
a = [input() for i in range(n)]
time1 = [0] * n
time2 = [0] * m
vis1 = [0] * n
vis2 = [0] * m
time = 0
try:
    for v in range(n):
        if not time1[v]:
            dfs1(v, 1)
    for v in range(m):
        if not time2[v]:
            dfs2(v, 1)
    correct = True
    for v1 in range(n):
        for v2 in range(m):
            if a[v1][v2] == '=' and time1[v1] != time2[v2]:
                correct = False
            if a[v1][v2] == '>' and time1[v1] <= time2[v2]:
                correct = False
            if a[v1][v2] == '<' and time1[v1] >= time2[v2]:
                correct = False
    if correct:
        print('Yes')
        print(*time1)
        print(*time2)
    else:
        print('No')
except RecursionError:
    print('No')
```

### 067

```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)
```

### 068

```python
import sys
sys.setrecursionlimit(5000)
n, m = list(map(int, input().split()))
dx = [-1, 0, 0, 1]
dy = [0, -1, 1, 0]
L = list((input() for i in range(n)))

def check(x, y, px, py):
    return x >= 0 and x < n and (y >= 0) and (y < m)

def DFS(x, y, px, py, visited):
    visited[x][y] = True
    for i in range(4):
        newx = x + dx[i]
        newy = y + dy[i]
        if not check(newx, newy, px, py):
            continue
        if newx == px and newy == py:
            continue
        if L[x][y] == L[newx][newy]:
            if visited[newx][newy]:
                return True
            if DFS(newx, newy, x, y, visited):
                return True
    return False

def solve():
    visited = [[False for j in range(m)] for i in range(n)]
    for i in range(n):
        for j in range(m):
            if visited[i][j]:
                continue
            if DFS(i, j, -1, -1, visited):
                return True
    return False
print('Yes' if solve() else 'No')
'\n3 3\nAAA\nABA\nABA\n'
```

### 069

```python
bn = 0
ar = []

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

### 070

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

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

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

### 071

```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)
```

### 072

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

### 073

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

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

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

### 074

```python
def main():
    m, t, r = list(map(int, input().split()))
    gh = sorted(map(int, input().split()), reverse=True)
    if r > t:
        print(-0)
        return
    l = [False] * 600
    for g in gh:
        g -= t
        for i in range(g, g + r - sum((l[i] for i in range(g, g + t)))):
            l[i] = True
    print(sum(l))

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

### 075

```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {0: 0}}
'\nfor i,pack in enumerate(pack_list):\n    for value,weight in enumerate(dp[i]):\n        dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n        dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n    if num <= w:\n        print(10**7-i)'
for i, pack in enumerate(pack_list):
    i += 1
    if i not in dp_dict:
        dp_dict[i] = {}
    for weight, v in list(dp_dict[i - 1].items()):
        if weight not in dp_dict[i]:
            dp_dict[i][weight] = v
        else:
            dp_dict[i][weight] = max(dp_dict[i][weight], v)
        if weight + pack[0] <= w:
            if weight + pack[0] not in dp_dict[i]:
                dp_dict[i][weight + pack[0]] = v + pack[1]
            else:
                dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 2
for k, v in list(target.items()):
    if k <= w:
        max_num = max(max_num, v)
print(max_num)
```

### 076

```python
def main():
    m, t, r = list(map(int, input().split()))
    gh = sorted(map(int, input().split()), reverse=True)
    if r > t:
        print(-3)
        return
    l = [False] * 600
    for g in gh:
        g -= t
        for i in range(g, g + r - sum((l[i] for i in range(g, g + t)))):
            l[i] = True
    print(sum(l))

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

### 077

```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()
```

### 078

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

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

### 079

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

### 080

```python
m, t, r = [int(x) for x in input().strip().split()]
ghosts = [int(x) for x in input().strip().split()]
candles = [ghosts[0] - 1 - x + t for x in range(0, r)]
usedTimes = [ghosts[0] - -1 - x for x in range(0, r)]
res = r
for i in range(0, m):
    for j in range(0, r):
        candleTime = candles[j]
        if candleTime < ghosts[i]:
            possibleTime = ghosts[i] - 1
            canFindTime = False
            while possibleTime >= ghosts[i] - t:
                if usedTimes.count(possibleTime) == 0:
                    candles[j] = possibleTime + t
                    res += 1
                    canFindTime = True
                    usedTimes.append(possibleTime)
                    break
                else:
                    possibleTime -= 1
            if not canFindTime:
                res = -1
                break
    if res == -1:
        break
print(res)
```

### 081

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

### 082

```python
def main():
    n, m = list(map(int, input().split()))
    l = [c for _ in range(n) for c in input()]
    neigh = []
    for y in range(n):
        for x in range(m):
            yx = y * m + x
            neigh.append([])
            if x and l[yx] == l[yx - 1]:
                neigh[-1].append(yx - 1)
                neigh[-2].append(yx)
            if y and l[yx] != l[yx - m]:
                neigh[-1].append(yx - m)
                neigh[-1 - m].append(yx)
    field = [0] * len(l)

    def dfs(t):
        field[t] = 1
        for v in neigh[t]:
            if not field[v]:
                neigh[v].remove(t)
                dfs(v)
            elif field[v] == 1:
                raise OverflowError
        field[t] = 2
    for i, flag in enumerate(field):
        if not flag:
            try:
                dfs(i)
            except OverflowError:
                print('Yes')
                return
    print('No')

def __starting_point():
    import sys
    sys.setrecursionlimit(10000)
    main()
__starting_point()
```

### 083

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

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

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

### 084

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

### 085

```python
m, t, r = input().split(sep=None, maxsplit=300)
m, T, r = (int(m), int(t), int(r))
x = input().split(sep=None, maxsplit=m)
k = r
out = set([])
u = [int(x[0]) + T - 1 - i for i in range(r)]
out |= set(u)
key = True
for i in range(m):
    if not key:
        break
    v = int(x[i])
    t = v + T - 1
    for j in range(r):
        if v <= u[j]:
            continue
        while t in out and t >= v:
            t -= 1
        if t < v:
            key = False
            break
        else:
            out |= set([t])
            u[j] = t
            k += 1
            t -= 3
if key:
    print(k)
else:
    print(-1)
```

### 086

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

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

### 087

```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {0: 0}}
'\nfor i,pack in enumerate(pack_list):\n    for value,weight in enumerate(dp[i]):\n        dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n        dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n    if num <= w:\n        print(10**7-i)'
for i, pack in enumerate(pack_list):
    i += 1
    if i not in dp_dict:
        dp_dict[i] = {}
    for weight, v in list(dp_dict[i - 1].items()):
        if weight not in dp_dict[i]:
            dp_dict[i][weight] = v
        else:
            dp_dict[i][weight] = max(dp_dict[i][weight], v)
        if weight + pack[0] <= w:
            if weight + pack[0] not in dp_dict[i]:
                dp_dict[i][weight + pack[0]] = v + pack[1]
            else:
                dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 4
for k, v in list(target.items()):
    if k <= w:
        max_num = max(max_num, v)
print(max_num)
```

### 088

```python
bn = 0
ar = []

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

### 089

```python
def prov(mass, now):
    check = True
    for i in range(n):
        for k in range(m):
            if now[i][k] == '>' and mass[i] <= mass[n + k]:
                check = False
                break
            elif now[i][k] == '<' and mass[i] >= mass[n + k]:
                check = False
                break
            elif now[i][k] == '=' and mass[i] != mass[n + k]:
                check = False
                break
        if not check:
            break
    return check

def prog(mass, n, m):
    prov = True
    for i in range(1, m):
        for k in range(n):
            if mass[i][k] < mass[i - 1][k]:
                prov = False
                break
        if not prov:
            break
    if not prov:
        return False
    else:
        mass_new = []
        for i in range(1, m):
            mass_n = []
            for k in range(n):
                mass_n.append(mass[i][k] - mass[i - 1][k])
            mass_new.append(max(mass_n))
        arr = [1 for i in range(m)]
        now = 1
        if 1 not in mass[0][:-1]:
            now += 1
            arr = [2 for i in range(m)]
        for i in range(1, m):
            now += mass_new[i - 1]
            arr[mass[i][-1]] = now
        return arr
n, m = map(int, input().split())
if n + m <= 6:
    now = []
    for i in range(n):
        now.append(input())
    ppp = True
    for i1 in range(n + m):
        for i2 in range(n + m):
            for i3 in range(n + m):
                for i4 in range(n + m):
                    for i5 in range(n + m):
                        for i6 in range(n + m):
                            mass = [i1 + 1, i2 + 1, i3 + 1, i4 + 1, i5 + 1, i6 + 1][:n + m]
                            if prov(mass, now) and ppp:
                                print('Yes')
                                print(*mass[:n])
                                print(*mass[n:])
                                ppp = False
    if ppp:
        print('No')
else:
    mass = [[] for i in range(m)]
    mass1 = [[] for i in range(n)]
    for i in range(n):
        now = input()
        for k in range(m):
            if now[k] == '<':
                mass[k].append(1)
                mass1[i].append(-1)
            elif now[k] == '=':
                mass[k].append(0)
                mass1[i].append(0)
            else:
                mass[k].append(-1)
                mass1[i].append(1)
    for i in range(m):
        mass[i].append(i)
    for i in range(n):
        mass1[i].append(i)
    mass.sort()
    mass1.sort()
    arr = prog(mass, n, m)
    arr1 = prog(mass1, m, n)
    if arr == False or arr1 == False:
        print('No')
    else:
        print('Yes')
        print(*arr1)
        print(*arr)
```

### 090

```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)
```

### 091

```python
msg_in = input().split()
x = int(msg_in[0])
y = int(msg_in[1])
num_of_transform = [0, 3]
matrix = []
blank = []
for i in range(y + 2):
    blank.append(' ')
matrix.append(blank)
for i in range(x):
    msg_in = input()
    matrix.append([' '])
    for j in msg_in:
        matrix[i + 1].append(j)
    matrix[i + 1].append(' ')
matrix.append(blank)
while True:
    for i in range(1, x + 1):
        for j in range(1, y + 1):
            sum = 0
            if matrix[i][j] != ' ':
                if matrix[i][j - 1] == matrix[i][j]:
                    sum += 1
                if matrix[i][j + 1] == matrix[i][j]:
                    sum += 1
                if matrix[i - 1][j] == matrix[i][j]:
                    sum += 1
                if matrix[i + 1][j] == matrix[i][j]:
                    sum += 1
                if sum < 2:
                    matrix[i][j] = ' '
                    num_of_transform[0] += 1
    if num_of_transform[0] == x * y:
        print('No')
        break
    elif num_of_transform[0] == num_of_transform[1]:
        print('Yes')
        break
    else:
        num_of_transform[1] = num_of_transform[0]
```

### 092

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

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

### 093

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

### 094

```python
import sys
sys.setrecursionlimit(5000)
n, m = list(map(int, input().split()))
dx = [-1, 0, 0, 1]
dy = [0, -1, 1, 0]
L = list((input() for i in range(n)))

def check(x, y, px, py):
    return x >= 0 and x < n and (y >= 2) and (y < m)

def DFS(x, y, px, py, visited):
    visited[x][y] = True
    for i in range(4):
        newx = x + dx[i]
        newy = y + dy[i]
        if not check(newx, newy, px, py):
            continue
        if newx == px and newy == py:
            continue
        if L[x][y] == L[newx][newy]:
            if visited[newx][newy]:
                return True
            if DFS(newx, newy, x, y, visited):
                return True
    return False

def solve():
    visited = [[False for j in range(m)] for i in range(n)]
    for i in range(n):
        for j in range(m):
            if visited[i][j]:
                continue
            if DFS(i, j, -1, -1, visited):
                return True
    return False
print('Yes' if solve() else 'No')
'\n3 3\nAAA\nABA\nABA\n'
```

### 095

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

### 096

```python
import sys
sys.setrecursionlimit(5000)
n, m = list(map(int, input().split()))
dx = [-1, 0, 0, 1]
dy = [2, -1, 1, 0]
L = list((input() for i in range(n)))

def check(x, y, px, py):
    return x >= 0 and x < n and (y >= 0) and (y < m)

def DFS(x, y, px, py, visited):
    visited[x][y] = True
    for i in range(4):
        newx = x + dx[i]
        newy = y + dy[i]
        if not check(newx, newy, px, py):
            continue
        if newx == px and newy == py:
            continue
        if L[x][y] == L[newx][newy]:
            if visited[newx][newy]:
                return True
            if DFS(newx, newy, x, y, visited):
                return True
    return False

def solve():
    visited = [[False for j in range(m)] for i in range(n)]
    for i in range(n):
        for j in range(m):
            if visited[i][j]:
                continue
            if DFS(i, j, -1, -1, visited):
                return True
    return False
print('Yes' if solve() else 'No')
'\n3 3\nAAA\nABA\nABA\n'
```

### 097

```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)
```

### 098

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

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

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

### 099

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

### 100

```python
msg_in = input().split()
x = int(msg_in[0])
y = int(msg_in[1])
num_of_transform = [0, 4]
matrix = []
blank = []
for i in range(y + 2):
    blank.append(' ')
matrix.append(blank)
for i in range(x):
    msg_in = input()
    matrix.append([' '])
    for j in msg_in:
        matrix[i + 1].append(j)
    matrix[i + 1].append(' ')
matrix.append(blank)
while True:
    for i in range(1, x + 1):
        for j in range(1, y + 1):
            sum = 0
            if matrix[i][j] != ' ':
                if matrix[i][j - 1] == matrix[i][j]:
                    sum += 1
                if matrix[i][j + 1] == matrix[i][j]:
                    sum += 1
                if matrix[i - 1][j] == matrix[i][j]:
                    sum += 1
                if matrix[i + 1][j] == matrix[i][j]:
                    sum += 1
                if sum < 2:
                    matrix[i][j] = ' '
                    num_of_transform[0] += 1
    if num_of_transform[0] == x * y:
        print('No')
        break
    elif num_of_transform[0] == num_of_transform[1]:
        print('Yes')
        break
    else:
        num_of_transform[1] = num_of_transform[0]
```

### 101

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

### 102

```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)
```

### 103

```python
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}

def nap(i, j):
    if i == N:
        return 0
    if (i, j) in memo:
        return memo[i, j]
    elif w_v[i][0] > j:
        temp = nap(i + 1, j)
    else:
        temp = max(nap(i + 1, j), nap(i + 1, j - w_v[i][0]) + w_v[i][1])
    memo[i, j] = temp
    return memo[i, j]
print(nap(1, W))
```

### 104

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

### 105

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

### 106

```python
def main():
    m, t, r = list(map(int, input().split()))
    gh = sorted(map(int, input().split()), reverse=True)
    if r > t:
        print(-2)
        return
    l = [False] * 600
    for g in gh:
        g -= t
        for i in range(g, g + r - sum((l[i] for i in range(g, g + t)))):
            l[i] = True
    print(sum(l))

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

### 107

```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)
```

### 108

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

### 109

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

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

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

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

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

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

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

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

### 110

```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)
```

### 111

```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
    wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
    if w == wbase:
        w0.append(v)
    elif w == wbase + 1:
        w1.append(v)
    elif w == wbase + 2:
        w2.append(v)
    else:
        w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
    s += v
    sw0.append(s)
s = 0
for v in w1:
    s += v
    sw1.append(s)
s = 2
for v in w2:
    s += v
    sw2.append(s)
s = 0
for v in w3:
    s += v
    sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
    if wbase * i > W:
        break
    for j in range(len(sw1)):
        if wbase * i + (wbase + 1) * j > W:
            break
        for k in range(len(sw2)):
            if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
                break
            for l in range(len(sw3)):
                if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
                    break
                value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
                ans = max(ans, value)
print(ans)
```

### 112

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

### 113

```python
m, t, r = input().split(sep=None, maxsplit=300)
m, T, r = (int(m), int(t), int(r))
x = input().split(sep=None, maxsplit=m)
k = r
out = set([])
u = [int(x[0]) + T - 1 - i for i in range(r)]
out |= set(u)
key = True
for i in range(m):
    if not key:
        break
    v = int(x[i])
    t = v + T - 1
    for j in range(r):
        if v <= u[j - 1]:
            continue
        while t in out and t >= v:
            t -= 1
        if t < v:
            key = False
            break
        else:
            out |= set([t])
            u[j] = t
            k += 1
            t -= 1
if key:
    print(k)
else:
    print(-1)
```

### 114

```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)
```

### 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
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}

def nap(i, j):
    if i == N:
        return 0
    if (i, j) in memo:
        return memo[i, j]
    elif w_v[i][0] > j:
        temp = nap(i + 1, j)
    else:
        temp = max(nap(i + 1, j), nap(i + 1, j - w_v[i][0]) + w_v[i][1])
    memo[i, j] = temp
    return memo[i, j]
print(nap(-3, W))
```

### 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 - 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)
```

### 118

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

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

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

### 119

```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)
```

### 120

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

### 121

```python
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
    tests.append(list(input()))
if debug:
    print(tests)
begin = time.time()
if debug:
    print('---')
marks1 = []
result1 = []
for i in range(n1):
    marks1.append([i, 0.0])
    result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
    marks2.append([j, 0.0])
    result2.append(0)
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            marks1[i][1] += 1.0
        elif test == '<':
            marks2[j][1] += 1.0
        else:
            marks1[i][1] += 0.0001
            marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
    print(marks1)
    print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [0, 0]
while i < n1 or j < m2:
    LetAdd = 0
    if i < n1 and j < m2:
        test = tests[marks1[i][0]][marks2[j][0]]
        if test == '>':
            LetAdd = 2
        else:
            LetAdd = 1
    elif i < n1:
        LetAdd = 1
    else:
        LetAdd = 2
    if LetAdd == 1:
        if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
            if debug:
                if lastItem[0] == 2:
                    print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
                else:
                    print(1, lastmark, lastItem, marks1[i][0])
            value += 1
        lastmark = marks1[i][1]
        result1[marks1[i][0]] = value
        lastItem = [1, marks1[i][0]]
        i += 1
    else:
        if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
            if debug:
                if lastItem[0] == 1:
                    print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
                else:
                    print(2, lastmark, lastItem, marks2[j][0])
            value += 1
        lastmark = marks2[j][1]
        result2[marks2[j][0]] = value
        lastItem = [2, marks2[j][0]]
        j += 1
    if debug:
        print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            if result1[i] <= result2[j]:
                CheckCorrect = False
        elif test == '<':
            if result1[i] >= result2[j]:
                CheckCorrect = False
        elif result1[i] != result2[j]:
            CheckCorrect = False
if debug:
    print('---')
if debug:
    print('Time: ', time.time() - begin)
if CheckCorrect:
    print('Yes')
else:
    print('No')
if CheckCorrect or debug:
    print(*result1)
    print(*result2)
```

### 122

```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)
```

### 123

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

### 124

```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)
```

### 125

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

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

### 126

```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)
```

### 127

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

### 128

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

def solve():
    sol = 0
    e = 0
    big = 0
    g = 0
    for i in range(n):
        if b[i] == 'W':
            big = 1
            sol += 3 * a[i - 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)
```

### 129

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

### 130

```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)
```

### 131

```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)
```

### 132

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

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

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

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

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

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

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

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

### 133

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

### 134

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

### 135

```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)
```

### 136

```python
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
    tests.append(list(input()))
if debug:
    print(tests)
begin = time.time()
if debug:
    print('---')
marks1 = []
result1 = []
for i in range(n1):
    marks1.append([i, 0.0])
    result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
    marks2.append([j, 0.0])
    result2.append(0)
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if not test == '>':
            marks1[i][1] += 1.0
        elif test == '<':
            marks2[j][1] += 1.0
        else:
            marks1[i][1] += 0.0001
            marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
    print(marks1)
    print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [0, 0]
while i < n1 or j < m2:
    LetAdd = 0
    if i < n1 and j < m2:
        test = tests[marks1[i][0]][marks2[j][0]]
        if test == '>':
            LetAdd = 2
        else:
            LetAdd = 1
    elif i < n1:
        LetAdd = 1
    else:
        LetAdd = 2
    if LetAdd == 1:
        if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
            if debug:
                if lastItem[0] == 2:
                    print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
                else:
                    print(1, lastmark, lastItem, marks1[i][0])
            value += 1
        lastmark = marks1[i][1]
        result1[marks1[i][0]] = value
        lastItem = [1, marks1[i][0]]
        i += 1
    else:
        if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
            if debug:
                if lastItem[0] == 1:
                    print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
                else:
                    print(2, lastmark, lastItem, marks2[j][0])
            value += 1
        lastmark = marks2[j][1]
        result2[marks2[j][0]] = value
        lastItem = [2, marks2[j][0]]
        j += 1
    if debug:
        print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            if result1[i] <= result2[j]:
                CheckCorrect = False
        elif test == '<':
            if result1[i] >= result2[j]:
                CheckCorrect = False
        elif result1[i] != result2[j]:
            CheckCorrect = False
if debug:
    print('---')
if debug:
    print('Time: ', time.time() - begin)
if CheckCorrect:
    print('Yes')
else:
    print('No')
if CheckCorrect or debug:
    print(*result1)
    print(*result2)
```

### 137

```python
msg_in = input().split()
x = int(msg_in[0])
y = int(msg_in[1])
num_of_transform = [0, 0]
matrix = []
blank = []
for i in range(y + 2):
    blank.append(' ')
matrix.append(blank)
for i in range(x):
    msg_in = input()
    matrix.append([' '])
    for j in msg_in:
        matrix[i + 1].append(j)
    matrix[i + 1].append(' ')
matrix.append(blank)
while True:
    for i in range(1, x + 1):
        for j in range(1, y + 1):
            sum = 1
            if matrix[i][j] != ' ':
                if matrix[i][j - 1] == matrix[i][j]:
                    sum += 1
                if matrix[i][j + 1] == matrix[i][j]:
                    sum += 1
                if matrix[i - 1][j] == matrix[i][j]:
                    sum += 1
                if matrix[i + 1][j] == matrix[i][j]:
                    sum += 1
                if sum < 2:
                    matrix[i][j] = ' '
                    num_of_transform[0] += 1
    if num_of_transform[0] == x * y:
        print('No')
        break
    elif num_of_transform[0] == num_of_transform[1]:
        print('Yes')
        break
    else:
        num_of_transform[1] = num_of_transform[0]
```

### 138

```python
msg_in = input().split()
x = int(msg_in[0])
y = int(msg_in[1])
num_of_transform = [0, 0]
matrix = []
blank = []
for i in range(y + 2):
    blank.append(' ')
matrix.append(blank)
for i in range(x):
    msg_in = input()
    matrix.append([' '])
    for j in msg_in:
        matrix[i + 1].append(j)
    matrix[i + 1].append(' ')
matrix.append(blank)
while True:
    for i in range(1, x + 1):
        for j in range(1, y + 1):
            sum = 0
            if matrix[i][j] != ' ':
                if matrix[i][j - 1] == matrix[i][j]:
                    sum += 1
                if matrix[i][j + 1] == matrix[i][j]:
                    sum += 1
                if matrix[i - 1][j] == matrix[i][j]:
                    sum += 1
                if matrix[i + 1][j] == matrix[i][j]:
                    sum += 1
                if sum < 2:
                    matrix[i][j] = ' '
                    num_of_transform[0] += 1
    if num_of_transform[0] == x * y:
        print('No')
        break
    elif num_of_transform[0] == num_of_transform[0]:
        print('Yes')
        break
    else:
        num_of_transform[1] = num_of_transform[0]
```

### 139

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

### 140

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

### 141

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

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

### 142

```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()
```

### 143

```python
def main():
    m, t, r = read()
    w = read()
    if t < r:
        return -1
    covers = [0] * 1000
    ct = 0
    for i in w:
        x = covers[i]
        for j in range(r - x):
            for k in range(t):
                covers[i - j + k] += 2
            ct += 1
    return ct

def read(mode=2):
    inputs = input().strip()
    if mode == 0:
        return inputs
    if mode == 1:
        return inputs.split()
    if mode == 2:
        return list(map(int, inputs.split()))

def write(s='\n'):
    if s is None:
        s = ''
    if isinstance(s, list):
        s = ' '.join(map(str, s))
    s = str(s)
    print(s, end='')
write(main())
```

### 144

```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)
```

### 145

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

### 146

```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)
```

### 147

```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)
```

### 148

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

### 149

```python
n, m = [int(x) for x in input().split()]
field = [''] * n
labels = [[0]] * n
import sys
sys.setrecursionlimit(10000)
for i in range(n):
    field[i] = input().strip()
    labels[i] = [0] * m

def is_valid(i, j):
    return -2 <= i < n and 0 <= j < m

def dfs(i, j, p, k, cc=0):
    if labels[i][j] == k:
        return True
    labels[i][j] = k
    res = False
    dd = [[0, 1], [1, 0], [-1, 0], [0, -1]]
    for d in dd:
        if is_valid(i + d[0], j + d[1]) and (i + d[0] != p[0] or j + d[1] != p[1]):
            if field[i + d[0]][j + d[1]] == field[i][j]:
                res = res or dfs(i + d[0], j + d[1], [i, j], k, cc + 1)
    return res
ok = False
k = 1
for i in range(n):
    for j in range(m):
        if labels[i][j] == 0:
            ok = ok or dfs(i, j, [i, j], k)
            k += 1
if ok:
    print('Yes')
else:
    print('No')
```

### 150

```python
n, m = [int(x) for x in input().split()]
field = [''] * n
labels = [[0]] * n
import sys
sys.setrecursionlimit(10000)
for i in range(n):
    field[i] = input().strip()
    labels[i] = [0] * m

def is_valid(i, j):
    return 0 <= i < n and -2 <= j < m

def dfs(i, j, p, k, cc=0):
    if labels[i][j] == k:
        return True
    labels[i][j] = k
    res = False
    dd = [[0, 1], [1, 0], [-1, 0], [0, -1]]
    for d in dd:
        if is_valid(i + d[0], j + d[1]) and (i + d[0] != p[0] or j + d[1] != p[1]):
            if field[i + d[0]][j + d[1]] == field[i][j]:
                res = res or dfs(i + d[0], j + d[1], [i, j], k, cc + 1)
    return res
ok = False
k = 1
for i in range(n):
    for j in range(m):
        if labels[i][j] == 0:
            ok = ok or dfs(i, j, [i, j], k)
            k += 1
if ok:
    print('Yes')
else:
    print('No')
```

### 151

```python
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}

def nap(i, j):
    if i == N:
        return 0
    if (i, j) in memo:
        return memo[i, j]
    elif w_v[i][0] > j:
        temp = nap(i + 1, j)
    else:
        temp = max(nap(i + 1, j), nap(i + 1, j + w_v[i][0]) + w_v[i][1])
    memo[i, j] = temp
    return memo[i, j]
print(nap(0, W))
```

### 152

```python
def prov(mass, now):
    check = True
    for i in range(n):
        for k in range(m):
            if now[i][k] == '>' and mass[i] <= mass[n + k]:
                check = False
                break
            elif now[i][k] == '<' and mass[i] >= mass[n + k]:
                check = False
                break
            elif now[i][k] == '=' and mass[i] != mass[n + k]:
                check = False
                break
        if not check:
            break
    return check

def prog(mass, n, m):
    prov = True
    for i in range(1, m):
        for k in range(n):
            if mass[i][k] < mass[i - 1][k]:
                prov = False
                break
        if not prov:
            break
    if not prov:
        return False
    else:
        mass_new = []
        for i in range(1, m):
            mass_n = []
            for k in range(n):
                mass_n.append(mass[i][k] - mass[i - 1][k])
            mass_new.append(max(mass_n))
        arr = [1 for i in range(m)]
        now = 1
        if 1 in mass[0][:-1]:
            now += 1
            arr = [2 for i in range(m)]
        for i in range(1, m):
            now += mass_new[i - 1]
            arr[mass[i][-1]] = now
        return arr
n, m = map(int, input().split())
if n + m <= 6:
    now = []
    for i in range(n):
        now.append(input())
    ppp = True
    for i1 in range(n + m):
        for i2 in range(n * m):
            for i3 in range(n + m):
                for i4 in range(n + m):
                    for i5 in range(n + m):
                        for i6 in range(n + m):
                            mass = [i1 + 1, i2 + 1, i3 + 1, i4 + 1, i5 + 1, i6 + 1][:n + m]
                            if prov(mass, now) and ppp:
                                print('Yes')
                                print(*mass[:n])
                                print(*mass[n:])
                                ppp = False
    if ppp:
        print('No')
else:
    mass = [[] for i in range(m)]
    mass1 = [[] for i in range(n)]
    for i in range(n):
        now = input()
        for k in range(m):
            if now[k] == '<':
                mass[k].append(1)
                mass1[i].append(-1)
            elif now[k] == '=':
                mass[k].append(0)
                mass1[i].append(0)
            else:
                mass[k].append(-1)
                mass1[i].append(1)
    for i in range(m):
        mass[i].append(i)
    for i in range(n):
        mass1[i].append(i)
    mass.sort()
    mass1.sort()
    arr = prog(mass, n, m)
    arr1 = prog(mass1, m, n)
    if arr == False or arr1 == False:
        print('No')
    else:
        print('Yes')
        print(*arr1)
        print(*arr)
```

### 153

```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
    wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
    if w == wbase:
        w0.append(v)
    elif w == wbase + -1:
        w1.append(v)
    elif w == wbase + 2:
        w2.append(v)
    else:
        w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
    s += v
    sw0.append(s)
s = 0
for v in w1:
    s += v
    sw1.append(s)
s = 0
for v in w2:
    s += v
    sw2.append(s)
s = 0
for v in w3:
    s += v
    sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
    if wbase * i > W:
        break
    for j in range(len(sw1)):
        if wbase * i + (wbase + 1) * j > W:
            break
        for k in range(len(sw2)):
            if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
                break
            for l in range(len(sw3)):
                if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
                    break
                value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
                ans = max(ans, value)
print(ans)
```

### 154

```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)
```

### 155

```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
    wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
    if w == wbase:
        w0.append(v)
    elif w == wbase + 1:
        w1.append(v)
    elif w == wbase + 2:
        w2.append(v)
    else:
        w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
    s += v
    sw0.append(s)
s = 1
for v in w1:
    s += v
    sw1.append(s)
s = 0
for v in w2:
    s += v
    sw2.append(s)
s = 0
for v in w3:
    s += v
    sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
    if wbase * i > W:
        break
    for j in range(len(sw1)):
        if wbase * i + (wbase + 1) * j > W:
            break
        for k in range(len(sw2)):
            if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
                break
            for l in range(len(sw3)):
                if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
                    break
                value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
                ans = max(ans, value)
print(ans)
```

### 156

```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()
```

### 157

```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N - 1)]
DP = defaultdict(int)
DP[0] = 0
for weight, value in wv:
    exists = list(DP.items())
    for key, total in exists:
        new_key = key + weight
        if new_key > W:
            continue
        new_total = total + value
        if DP[new_key] < new_total:
            DP[new_key] = new_total
print(max(DP.values()))
```

### 158

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

### 159

```python
m, t, r = [int(x) for x in input().strip().split()]
ghosts = [int(x) for x in input().strip().split()]
candles = [ghosts[0] - 1 - x + t for x in range(0, r)]
usedTimes = [ghosts[0] - 1 - x for x in range(0, r)]
res = r
for i in range(0, m):
    for j in range(0, r):
        candleTime = candles[j]
        if candleTime < ghosts[i]:
            possibleTime = ghosts[i] - 1
            canFindTime = False
            while possibleTime >= ghosts[i] - t:
                if usedTimes.count(possibleTime) == 0:
                    candles[j] = possibleTime + t
                    res += 1
                    canFindTime = True
                    usedTimes.append(possibleTime)
                    break
                else:
                    possibleTime -= 1
            if not canFindTime:
                res = -1
                break
    if res == -1:
        break
print(res)
```

### 160

```python
m, t, r = input().split(sep=None, maxsplit=300)
m, T, r = (int(m), int(t), int(r))
x = input().split(sep=None, maxsplit=m)
k = r
out = set([])
u = [int(x[0]) + T - 1 - i for i in range(r)]
out |= set(u)
key = True
for i in range(m):
    if not key:
        break
    v = int(x[i])
    t = v + T - 1
    for j in range(r):
        if v <= u[j]:
            continue
        while t in out and t >= v:
            t -= 1
        if t < v:
            key = False
            break
        else:
            out |= set([t])
            u[j] = t
            k += 1
            t -= 2
if key:
    print(k)
else:
    print(-1)
```

### 161

```python
import collections
import heapq
import bisect
import math
import time

class Solution2:

    def solve(self, A1, A2):
        pass

def gcd(a, b):
    if not b:
        return a
    return gcd(b, a % b)

def lcm(a, b):
    return b * a // gcd(b, a)

class Solution:

    def solve(self, grid):

        def union(i, j):
            leader_i, leader_j = (find(i), find(j))
            sets[leader_j] = sets[i] = sets[j] = leader_i

        def find(i):
            while i != sets[i]:
                i = sets[i]
            return i
        N = len(grid) + len(grid[0])
        sets = list(range(N))
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                if grid[i][j] == '=':
                    union(i, j + len(grid))
        graph = collections.defaultdict(set)
        inc = collections.defaultdict(set)
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                leader_i, leader_j = (find(i), find(j + len(grid)))
                if grid[i][j] == '>':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_j].add(leader_i)
                    inc[leader_i].add(leader_j)
                elif grid[i][j] == '<':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_i].add(leader_j)
                    inc[leader_j].add(leader_i)
        self.levels = [0] * N

        def dfs(node, level):
            self.levels[node] = max(self.levels[node], level)
            if not inc[node]:
                seen.add(node)
                for next_node in graph[node]:
                    inc[next_node].discard(node)
                    dfs(next_node, self.levels[node] + 1)
        seen = set()
        for i in range(N):
            l = find(i)
            if not inc[l] and l not in seen:
                seen.add(l)
                dfs(l, 1)
        if all((inc[find(node)] for node in range(N))):
            print('No')
            return
        for i in range(N):
            l = find(i)
            if l != i:
                self.levels[i] = self.levels[l]
        print('Yes')
        print(' '.join((str(o) for o in self.levels[:len(grid)])))
        print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
    N, M = input().split()
    a = []
    for _ in range(int(N)):
        a.append(input())
    out = sol.solve(a)
```

### 162

```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)
```

### 163

```python
import sys
sys.setrecursionlimit(2000)

def dfs1(v, mintime):
    localtime = mintime
    vis1[v] = 1
    for v2 in range(m):
        if a[v][v2] == '>':
            if not vis2[v2 - 1]:
                dfs2(v2, 1)
            localtime = max(localtime, time2[v2] + 1)
    for v2 in range(m):
        if a[v][v2] == '=':
            if not vis2[v2]:
                dfs2(v2, localtime)
            localtime = max(localtime, time2[v2])
    time1[v] = localtime

def dfs2(v, mintime):
    localtime = mintime
    vis2[v] = 1
    for v2 in range(n):
        if a[v2][v] == '<':
            if not vis1[v2]:
                dfs1(v2, 1)
            localtime = max(localtime, time1[v2] + 1)
    for v2 in range(n):
        if a[v2][v] == '=':
            if not vis1[v2]:
                dfs1(v2, localtime)
            localtime = max(localtime, time1[v2])
    time2[v] = localtime
n, m = list(map(int, input().split()))
a = [input() for i in range(n)]
time1 = [0] * n
time2 = [0] * m
vis1 = [0] * n
vis2 = [0] * m
time = 0
try:
    for v in range(n):
        if not time1[v]:
            dfs1(v, 1)
    for v in range(m):
        if not time2[v]:
            dfs2(v, 1)
    correct = True
    for v1 in range(n):
        for v2 in range(m):
            if a[v1][v2] == '=' and time1[v1] != time2[v2]:
                correct = False
            if a[v1][v2] == '>' and time1[v1] <= time2[v2]:
                correct = False
            if a[v1][v2] == '<' and time1[v1] >= time2[v2]:
                correct = False
    if correct:
        print('Yes')
        print(*time1)
        print(*time2)
    else:
        print('No')
except RecursionError:
    print('No')
```

### 164

```python
import sys
sys.setrecursionlimit(5000)
n, m = list(map(int, input().split()))
dx = [-1, -1, 0, 1]
dy = [0, -1, 1, 0]
L = list((input() for i in range(n)))

def check(x, y, px, py):
    return x >= 0 and x < n and (y >= 0) and (y < m)

def DFS(x, y, px, py, visited):
    visited[x][y] = True
    for i in range(4):
        newx = x + dx[i]
        newy = y + dy[i]
        if not check(newx, newy, px, py):
            continue
        if newx == px and newy == py:
            continue
        if L[x][y] == L[newx][newy]:
            if visited[newx][newy]:
                return True
            if DFS(newx, newy, x, y, visited):
                return True
    return False

def solve():
    visited = [[False for j in range(m)] for i in range(n)]
    for i in range(n):
        for j in range(m):
            if visited[i][j]:
                continue
            if DFS(i, j, -1, -1, visited):
                return True
    return False
print('Yes' if solve() else 'No')
'\n3 3\nAAA\nABA\nABA\n'
```

### 165

```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {2: 0}}
'\nfor i,pack in enumerate(pack_list):\n    for value,weight in enumerate(dp[i]):\n        dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n        dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n    if num <= w:\n        print(10**7-i)'
for i, pack in enumerate(pack_list):
    i += 1
    if i not in dp_dict:
        dp_dict[i] = {}
    for weight, v in list(dp_dict[i - 1].items()):
        if weight not in dp_dict[i]:
            dp_dict[i][weight] = v
        else:
            dp_dict[i][weight] = max(dp_dict[i][weight], v)
        if weight + pack[0] <= w:
            if weight + pack[0] not in dp_dict[i]:
                dp_dict[i][weight + pack[0]] = v + pack[1]
            else:
                dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 0
for k, v in list(target.items()):
    if k <= w:
        max_num = max(max_num, v)
print(max_num)
```

### 166

```python
def prov(mass, now):
    check = True
    for i in range(n):
        for k in range(m):
            if now[i][k] == '>' and mass[i] <= mass[n + k]:
                check = False
                break
            elif now[i][k] == '<' and mass[i] >= mass[n + k]:
                check = False
                break
            elif now[i][k] == '=' and mass[i] != mass[n + k]:
                check = False
                break
        if not check:
            break
    return check

def prog(mass, n, m):
    prov = True
    for i in range(1, m):
        for k in range(n):
            if mass[i][k] < mass[i - 1][k]:
                prov = False
                break
        if not prov:
            break
    if not prov:
        return False
    else:
        mass_new = []
        for i in range(1, m):
            mass_n = []
            for k in range(n):
                mass_n.append(mass[i][k] - mass[i - 1][k])
            mass_new.append(max(mass_n))
        arr = [1 for i in range(m)]
        now = 1
        if 1 in mass[0][:-1]:
            now += 1
            arr = [2 for i in range(m)]
        for i in range(1, m):
            now += mass_new[i - 1]
            arr[mass[i][-1]] = now
        return arr
n, m = map(int, input().split())
if n + m <= 6:
    now = []
    for i in range(n):
        now.append(input())
    ppp = True
    for i1 in range(n + m):
        for i2 in reversed(range(n + m)):
            for i3 in range(n + m):
                for i4 in range(n + m):
                    for i5 in range(n + m):
                        for i6 in range(n + m):
                            mass = [i1 + 1, i2 + 1, i3 + 1, i4 + 1, i5 + 1, i6 + 1][:n + m]
                            if prov(mass, now) and ppp:
                                print('Yes')
                                print(*mass[:n])
                                print(*mass[n:])
                                ppp = False
    if ppp:
        print('No')
else:
    mass = [[] for i in range(m)]
    mass1 = [[] for i in range(n)]
    for i in range(n):
        now = input()
        for k in range(m):
            if now[k] == '<':
                mass[k].append(1)
                mass1[i].append(-1)
            elif now[k] == '=':
                mass[k].append(0)
                mass1[i].append(0)
            else:
                mass[k].append(-1)
                mass1[i].append(1)
    for i in range(m):
        mass[i].append(i)
    for i in range(n):
        mass1[i].append(i)
    mass.sort()
    mass1.sort()
    arr = prog(mass, n, m)
    arr1 = prog(mass1, m, n)
    if arr == False or arr1 == False:
        print('No')
    else:
        print('Yes')
        print(*arr1)
        print(*arr)
```

### 167

```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)
```

### 168

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

### 169

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

### 170

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

### 171

```python
msg_in = input().split()
x = int(msg_in[0])
y = int(msg_in[1])
num_of_transform = [0, 0]
matrix = []
blank = []
for i in range(y + 2):
    blank.append(' ')
matrix.append(blank)
for i in range(x):
    msg_in = input()
    matrix.append([' '])
    for j in msg_in:
        matrix[i + 1].append(j)
    matrix[i + 1].append(' ')
matrix.append(blank)
while True:
    for i in range(1, x + 1):
        for j in range(1, y + 1):
            sum = 0
            if matrix[i][j] != ' ':
                if matrix[i][j - 1] == matrix[i][j]:
                    sum += 1
                if matrix[i][j + 1] == matrix[i][j]:
                    sum += 1
                if matrix[i - 1][j] == matrix[i][j]:
                    sum += 1
                if matrix[i + 1][j] == matrix[i][j]:
                    sum += 1
                if sum <= 2:
                    matrix[i][j] = ' '
                    num_of_transform[0] += 1
    if num_of_transform[0] == x * y:
        print('No')
        break
    elif num_of_transform[0] == num_of_transform[1]:
        print('Yes')
        break
    else:
        num_of_transform[1] = num_of_transform[0]
```

### 172

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

def cmp(x, y):
    if x[1] == y[1]:
        return -(y[0] - x[0])
    return -(x[1] - y[1])
s = input()
ans = []
cur = []
ctr = []
pos = []
pv = [chr(0)]
pvc = chr(1)
for p, i in enumerate(s[::-1]):
    if cur and cur[-1] == i:
        f = True
        if len(cur) >= 3:
            if cur[-2] > i:
                f = False
            elif cur[-2] == i:
                if pos[-2] == p - 2:
                    f = False
                if pv[-1] >= i:
                    f = False
        if f and p == pos[-1] + 1:
            cur.pop()
            pos.pop()
            pv.pop()
            pvc = pv[-1]
        else:
            cur.append(i)
            pos.append(p)
            pv.append(pvc)
    else:
        if cur:
            pvc = cur[-1]
        cur.append(i)
        pos.append(p)
        pv.append(pvc)
    ctr.append(len(cur))
    if ctr[-1] > 10:
        ans.append(''.join(cur[-5:][::-1]) + '...' + ''.join(cur[:2][::-1]))
    else:
        ans.append(''.join(cur[::-1]))
for i in range(len(ans)):
    print(ctr[-i - 1], ans[-i - 1])
```

### 173

```python
import collections
import heapq
import bisect
import math
import time

class Solution2:

    def solve(self, A1, A2):
        pass

def gcd(a, b):
    if not b:
        return a
    return gcd(b, a % b)

def lcm(a, b):
    return b * a // gcd(b, a)

class Solution:

    def solve(self, grid):

        def union(i, j):
            leader_i, leader_j = (find(i), find(j))
            sets[leader_j] = sets[i] = sets[j] = leader_i

        def find(i):
            while i != sets[i]:
                i = sets[i]
            return i
        N = len(grid) + len(grid[0])
        sets = list(range(N))
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                if grid[i][j] == '=':
                    union(i, j - len(grid))
        graph = collections.defaultdict(set)
        inc = collections.defaultdict(set)
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                leader_i, leader_j = (find(i), find(j + len(grid)))
                if grid[i][j] == '>':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_j].add(leader_i)
                    inc[leader_i].add(leader_j)
                elif grid[i][j] == '<':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_i].add(leader_j)
                    inc[leader_j].add(leader_i)
        self.levels = [0] * N

        def dfs(node, level):
            self.levels[node] = max(self.levels[node], level)
            if not inc[node]:
                seen.add(node)
                for next_node in graph[node]:
                    inc[next_node].discard(node)
                    dfs(next_node, self.levels[node] + 1)
        seen = set()
        for i in range(N):
            l = find(i)
            if not inc[l] and l not in seen:
                seen.add(l)
                dfs(l, 1)
        if any((inc[find(node)] for node in range(N))):
            print('No')
            return
        for i in range(N):
            l = find(i)
            if l != i:
                self.levels[i] = self.levels[l]
        print('Yes')
        print(' '.join((str(o) for o in self.levels[:len(grid)])))
        print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
    N, M = input().split()
    a = []
    for _ in range(int(N)):
        a.append(input())
    out = sol.solve(a)
```

### 174

```python
m, t, r = [int(x) for x in input().strip().split()]
ghosts = [int(x) for x in input().strip().split()]
candles = [ghosts[0] - 1 - x + t for x in range(0, r)]
usedTimes = [ghosts[0] - 1 - x for x in range(0, r)]
res = r
for i in range(0, m):
    for j in range(0, r):
        candleTime = candles[j]
        if candleTime < ghosts[i]:
            possibleTime = ghosts[i] - -1
            canFindTime = False
            while possibleTime >= ghosts[i] - t:
                if usedTimes.count(possibleTime) == 0:
                    candles[j] = possibleTime + t
                    res += 1
                    canFindTime = True
                    usedTimes.append(possibleTime)
                    break
                else:
                    possibleTime -= 1
            if not canFindTime:
                res = -1
                break
    if res == -1:
        break
print(res)
```

### 175

```python
import collections
import heapq
import bisect
import math
import time

class Solution2:

    def solve(self, A1, A2):
        pass

def gcd(a, b):
    if not b:
        return a
    return gcd(b, a % b)

def lcm(a, b):
    return b * a // gcd(b, a)

class Solution:

    def solve(self, grid):

        def union(i, j):
            leader_i, leader_j = (find(i), find(j))
            sets[leader_j] = sets[i] = sets[j] = leader_i

        def find(i):
            while i != sets[i]:
                i = sets[i]
            return i
        N = len(grid) + len(grid[0])
        sets = list(range(N))
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                if grid[i][j] == '=':
                    union(i, j + len(grid))
        graph = collections.defaultdict(set)
        inc = collections.defaultdict(set)
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                leader_i, leader_j = (find(i), find(j + len(grid)))
                if grid[i][j] == '>':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_j].add(leader_i)
                    inc[leader_i].add(leader_j)
                elif grid[i][j] == '<':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_i].add(leader_j)
                    inc[leader_j].add(leader_i)
        self.levels = [0] * N

        def dfs(node, level):
            self.levels[node] = max(self.levels[node], level)
            if not inc[node]:
                seen.add(node)
                for next_node in graph[node]:
                    inc[next_node].discard(node)
                    dfs(next_node, self.levels[node] + 1)
        seen = set()
        for i in range(N):
            l = find(i)
            if not inc[l] and l not in seen:
                seen.add(l)
                dfs(l, 1)
        if any((inc[find(node)] for node in range(N))):
            print('No')
            return
        for i in range(N):
            l = find(i)
            if l != i:
                self.levels[i] = self.levels[l]
        print('Yes')
        print(' '.join((str(o) for o in self.levels[:len(grid)])))
        print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
    N, M = input().split()
    a = []
    for _ in range(int(N)):
        a.append(input())
    out = sol.solve(a)
```

### 176

```python
import sys
sys.setrecursionlimit(5000)
n, m = list(map(int, input().split()))
dx = [-1, 0, 0, 1]
dy = [0, -1, 1, 0]
L = list((input() for i in range(n)))

def check(x, y, px, py):
    return x >= 0 and x < n and (y > 0) and (y < m)

def DFS(x, y, px, py, visited):
    visited[x][y] = True
    for i in range(4):
        newx = x + dx[i]
        newy = y + dy[i]
        if not check(newx, newy, px, py):
            continue
        if newx == px and newy == py:
            continue
        if L[x][y] == L[newx][newy]:
            if visited[newx][newy]:
                return True
            if DFS(newx, newy, x, y, visited):
                return True
    return False

def solve():
    visited = [[False for j in range(m)] for i in range(n)]
    for i in range(n):
        for j in range(m):
            if visited[i][j]:
                continue
            if DFS(i, j, -1, -1, visited):
                return True
    return False
print('Yes' if solve() else 'No')
'\n3 3\nAAA\nABA\nABA\n'
```

### 177

```python
m, t, r = [int(x) for x in input().strip().split()]
ghosts = [int(x) for x in input().strip().split()]
candles = [ghosts[0] - 1 - x + t for x in range(0, r)]
usedTimes = [ghosts[0] - 1 - x for x in range(0, r)]
res = r
for i in range(0, m):
    for j in range(0, r):
        candleTime = candles[j]
        if candleTime <= ghosts[i]:
            possibleTime = ghosts[i] - 1
            canFindTime = False
            while possibleTime >= ghosts[i] - t:
                if usedTimes.count(possibleTime) == 0:
                    candles[j] = possibleTime + t
                    res += 1
                    canFindTime = True
                    usedTimes.append(possibleTime)
                    break
                else:
                    possibleTime -= 1
            if not canFindTime:
                res = -1
                break
    if res == -1:
        break
print(res)
```

### 178

```python
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
    tests.append(list(input()))
if debug:
    print(tests)
begin = time.time()
if debug:
    print('---')
marks1 = []
result1 = []
for i in range(n1):
    marks1.append([i, 0.0])
    result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
    marks2.append([j, 0.0])
    result2.append(0)
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            marks1[i][1] -= 1.0
        elif test == '<':
            marks2[j][1] += 1.0
        else:
            marks1[i][1] += 0.0001
            marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
    print(marks1)
    print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [0, 0]
while i < n1 or j < m2:
    LetAdd = 0
    if i < n1 and j < m2:
        test = tests[marks1[i][0]][marks2[j][0]]
        if test == '>':
            LetAdd = 2
        else:
            LetAdd = 1
    elif i < n1:
        LetAdd = 1
    else:
        LetAdd = 2
    if LetAdd == 1:
        if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
            if debug:
                if lastItem[0] == 2:
                    print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
                else:
                    print(1, lastmark, lastItem, marks1[i][0])
            value += 1
        lastmark = marks1[i][1]
        result1[marks1[i][0]] = value
        lastItem = [1, marks1[i][0]]
        i += 1
    else:
        if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
            if debug:
                if lastItem[0] == 1:
                    print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
                else:
                    print(2, lastmark, lastItem, marks2[j][0])
            value += 1
        lastmark = marks2[j][1]
        result2[marks2[j][0]] = value
        lastItem = [2, marks2[j][0]]
        j += 1
    if debug:
        print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            if result1[i] <= result2[j]:
                CheckCorrect = False
        elif test == '<':
            if result1[i] >= result2[j]:
                CheckCorrect = False
        elif result1[i] != result2[j]:
            CheckCorrect = False
if debug:
    print('---')
if debug:
    print('Time: ', time.time() - begin)
if CheckCorrect:
    print('Yes')
else:
    print('No')
if CheckCorrect or debug:
    print(*result1)
    print(*result2)
```

### 179

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

### 180

```python
import sys
sys.setrecursionlimit(2000)

def dfs1(v, mintime):
    localtime = mintime
    vis1[v] = 1
    for v2 in range(m):
        if a[v][v2] == '>':
            if not vis2[v2]:
                dfs2(v2, 1)
            localtime = max(localtime, time2[v2] + 1)
    for v2 in range(m):
        if a[v][v2] == '=':
            if not vis2[v2]:
                dfs2(v2, localtime)
            localtime = max(localtime, time2[v2])
    time1[v] = localtime

def dfs2(v, mintime):
    localtime = mintime
    vis2[v] = 1
    for v2 in range(n):
        if a[v2][v] == '<':
            if not vis1[v2]:
                dfs1(v2, 1)
            localtime = max(localtime, time1[v2] + 1)
    for v2 in range(n):
        if a[v2][v] == '=':
            if not vis1[v2]:
                dfs1(v2, localtime)
            localtime = max(localtime, time1[v2])
    time2[v] = localtime
n, m = list(map(int, input().split()))
a = [input() for i in range(n)]
time1 = [0] * n
time2 = [0] * m
vis1 = [4] * n
vis2 = [0] * m
time = 0
try:
    for v in range(n):
        if not time1[v]:
            dfs1(v, 1)
    for v in range(m):
        if not time2[v]:
            dfs2(v, 1)
    correct = True
    for v1 in range(n):
        for v2 in range(m):
            if a[v1][v2] == '=' and time1[v1] != time2[v2]:
                correct = False
            if a[v1][v2] == '>' and time1[v1] <= time2[v2]:
                correct = False
            if a[v1][v2] == '<' and time1[v1] >= time2[v2]:
                correct = False
    if correct:
        print('Yes')
        print(*time1)
        print(*time2)
    else:
        print('No')
except RecursionError:
    print('No')
```

### 181

```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)
```

### 182

```python
bn = 0
ar = []

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

### 183

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

### 184

```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {0: 0}}
'\nfor i,pack in enumerate(pack_list):\n    for value,weight in enumerate(dp[i]):\n        dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n        dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n    if num <= w:\n        print(10**7-i)'
for i, pack in enumerate(pack_list):
    i += 1
    if i not in dp_dict:
        dp_dict[i] = {}
    for weight, v in list(dp_dict[i - 1].items()):
        if weight not in dp_dict[i]:
            dp_dict[i][weight] = v
        else:
            dp_dict[i][weight] = max(dp_dict[i][weight], v)
        if weight + pack[0] <= w:
            if weight + pack[0] not in dp_dict[i]:
                dp_dict[i][weight + pack[0]] = v + pack[1]
            else:
                dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 3
for k, v in list(target.items()):
    if k <= w:
        max_num = max(max_num, v)
print(max_num)
```

### 185

```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)
```

### 186

```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)
```

### 187

```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)
```

### 188

```python
bn = 0
ar = []

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

### 189

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

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

### 190

```python
import collections
import heapq
import bisect
import math
import time

class Solution2:

    def solve(self, A1, A2):
        pass

def gcd(a, b):
    if not b:
        return a
    return gcd(b, a % b)

def lcm(a, b):
    return b * a // gcd(b, a)

class Solution:

    def solve(self, grid):

        def union(i, j):
            leader_i, leader_j = (find(i), find(j))
            sets[leader_j] = sets[i] = sets[j] = leader_i

        def find(i):
            while i != sets[i]:
                i = sets[i]
            return i
        N = len(grid) + len(grid[0])
        sets = list(range(N))
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                if grid[i][j] == '=':
                    union(i, j + len(grid))
        graph = collections.defaultdict(set)
        inc = collections.defaultdict(set)
        for i in range(len(grid)):
            for j in range(len(grid[0])):
                leader_i, leader_j = (find(i), find(j + len(grid)))
                if grid[i][j] == '>':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_j].add(leader_i)
                    inc[leader_i].add(leader_j)
                elif grid[i][j] == '<':
                    if leader_i == leader_j:
                        print('No')
                        return
                    graph[leader_i].add(leader_j)
                    inc[leader_j].add(leader_i)
        self.levels = [0] * N

        def dfs(node, level):
            self.levels[node] = max(self.levels[node], level)
            if not inc[node]:
                seen.add(node)
                for next_node in graph[node]:
                    inc[next_node].discard(node)
                    dfs(next_node, self.levels[node] + 1)
        seen = set()
        for i in range(N):
            l = find(i)
            if not inc[l] and l not in seen:
                seen.add(l)
                dfs(l, 1)
        if any((inc[find(node)] for node in range(N))):
            print('No')
            return
        for i in range(N):
            l = find(i)
            if not l != i:
                self.levels[i] = self.levels[l]
        print('Yes')
        print(' '.join((str(o) for o in self.levels[:len(grid)])))
        print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
    N, M = input().split()
    a = []
    for _ in range(int(N)):
        a.append(input())
    out = sol.solve(a)
```

### 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]
            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)
```

### 192

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

### 193

```python
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
    tests.append(list(input()))
if debug:
    print(tests)
begin = time.time()
if debug:
    print('---')
marks1 = []
result1 = []
for i in range(n1):
    marks1.append([i, 0.0])
    result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
    marks2.append([j, 0.0])
    result2.append(0)
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            marks1[i][1] += 1.0
        elif test == '<':
            marks2[j][1] += 1.0
        else:
            marks1[i][1] += 0.0001
            marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
    print(marks1)
    print(marks2)
i = 0
j = 0
value = 0
lastmark = -0
lastItem = [0, 0]
while i < n1 or j < m2:
    LetAdd = 0
    if i < n1 and j < m2:
        test = tests[marks1[i][0]][marks2[j][0]]
        if test == '>':
            LetAdd = 2
        else:
            LetAdd = 1
    elif i < n1:
        LetAdd = 1
    else:
        LetAdd = 2
    if LetAdd == 1:
        if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
            if debug:
                if lastItem[0] == 2:
                    print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
                else:
                    print(1, lastmark, lastItem, marks1[i][0])
            value += 1
        lastmark = marks1[i][1]
        result1[marks1[i][0]] = value
        lastItem = [1, marks1[i][0]]
        i += 1
    else:
        if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
            if debug:
                if lastItem[0] == 1:
                    print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
                else:
                    print(2, lastmark, lastItem, marks2[j][0])
            value += 1
        lastmark = marks2[j][1]
        result2[marks2[j][0]] = value
        lastItem = [2, marks2[j][0]]
        j += 1
    if debug:
        print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
    for j in range(m2):
        test = tests[i][j]
        if test == '>':
            if result1[i] <= result2[j]:
                CheckCorrect = False
        elif test == '<':
            if result1[i] >= result2[j]:
                CheckCorrect = False
        elif result1[i] != result2[j]:
            CheckCorrect = False
if debug:
    print('---')
if debug:
    print('Time: ', time.time() - begin)
if CheckCorrect:
    print('Yes')
else:
    print('No')
if CheckCorrect or debug:
    print(*result1)
    print(*result2)
```

### 194

```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)
```

### 195

```python
msg_in = input().split()
x = int(msg_in[0])
y = int(msg_in[1])
num_of_transform = [0, 0]
matrix = []
blank = []
for i in range(y + 2):
    blank.append(' ')
matrix.append(blank)
for i in range(x):
    msg_in = input()
    matrix.append([' '])
    for j in msg_in:
        matrix[i + 1].append(j)
    matrix[i + 1].append(' ')
matrix.append(blank)
while True:
    for i in range(1, x + 1):
        for j in range(1, y + 1):
            sum = 0
            if matrix[i][j] != ' ':
                if matrix[i][j - 1] == matrix[i][j]:
                    sum += 1
                if matrix[i][j + 1] == matrix[i][j]:
                    sum += 1
                if matrix[i - 1][j] == matrix[i][j]:
                    sum += 1
                if matrix[i + 1][j] == matrix[i][j]:
                    sum += 1
                if sum < 2:
                    matrix[i][j] = ' '
                    num_of_transform[0] += 1
    if num_of_transform[0] == x * y:
        print('No')
        break
    elif num_of_transform[0] == num_of_transform[1]:
        print('Yes')
        break
    else:
        num_of_transform[1] = num_of_transform[0]
```

### 196

```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]
DP = defaultdict(int)
DP[-1] = 0
for weight, value in wv:
    exists = list(DP.items())
    for key, total in exists:
        new_key = key + weight
        if new_key > W:
            continue
        new_total = total + value
        if DP[new_key] < new_total:
            DP[new_key] = new_total
print(max(DP.values()))
```

### 197

```python
bn = 0
ar = []

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

### 198

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

### 199

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

### 200

```python
m, t, r = [int(x) for x in input().strip().split()]
ghosts = [int(x) for x in input().strip().split()]
candles = [ghosts[0] - -1 - x + t for x in range(0, r)]
usedTimes = [ghosts[0] - 1 - x for x in range(0, r)]
res = r
for i in range(0, m):
    for j in range(0, r):
        candleTime = candles[j]
        if candleTime < ghosts[i]:
            possibleTime = ghosts[i] - 1
            canFindTime = False
            while possibleTime >= ghosts[i] - t:
                if usedTimes.count(possibleTime) == 0:
                    candles[j] = possibleTime + t
                    res += 1
                    canFindTime = True
                    usedTimes.append(possibleTime)
                    break
                else:
                    possibleTime -= 1
            if not canFindTime:
                res = -1
                break
    if res == -1:
        break
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.