### 001

```python
def get_relation(synonyms, antonyms, word1, word2):
    if word1 not in synonyms or word2 not in synonyms:
        return '3'
    group1 = synonyms[word1]
    group2 = synonyms[word2]
    if group1 == group2:
        return '1'
    if group1 in antonyms and antonyms[group1] == group2:
        return '2'
    return '3'

def unify_synonyms(synonyms, groups, group1, group2):
    min_group = min(group1, group2)
    max_group = max(group1, group2)
    max_synonyms = groups[max_group]
    for synonym in max_synonyms:
        synonyms[synonym] = min_group
    update_groups(groups, min_group, max_synonyms)
    return (min_group, max_group)

def make_synonyms(synonyms, antonyms, groups, group1, group2):
    min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
    if group1 in antonyms and group2 in antonyms:
        min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
        del antonyms[min_group1]
        del antonyms[max_group1]
        del antonyms[min_group2]
        del antonyms[max_group2]
        antonyms[min_group1] = min_group2
        antonyms[min_group2] = min_group1
        return min_group1
    if max_group1 in antonyms:
        antonym_group = antonyms[max_group1]
        del antonyms[max_group1]
        antonyms[min_group1] = antonym_group
        antonyms[antonym_group] = min_group1
    return min_group1

def update_groups(groups, group, words):
    if group in groups:
        groups[group].update(words)
    else:
        groups.update({group: set(words)})

def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
    if relation == '1':
        if word1 not in synonyms and word2 not in synonyms:
            current_group += 1
            synonyms[word1] = current_group
            synonyms[word2] = current_group
            update_groups(groups, current_group, [word1, word2])
            return current_group
        if word1 not in synonyms:
            synonyms[word1] = synonyms[word2]
            update_groups(groups, synonyms[word2], [word1])
            return current_group
        if word2 not in synonyms:
            synonyms[word2] = synonyms[word1]
            update_groups(groups, synonyms[word1], [word2])
            return current_group
        group1 = synonyms[word1]
        group2 = synonyms[word2]
        if group1 != group2:
            make_synonyms(synonyms, antonyms, groups, group1, group2)
        return current_group
    if relation == '2':
        if word1 not in synonyms:
            current_group += 1
            group1 = current_group
            synonyms[word1] = group1
            update_groups(groups, group1, [word1])
        else:
            group1 = synonyms[word1]
        if word2 not in synonyms:
            current_group += 1
            group2 = current_group
            synonyms[word2] = group2
            update_groups(groups, group2, [word2])
        else:
            group2 = synonyms[word2]
        if group1 not in antonyms and group2 not in antonyms:
            antonyms[group1] = group2
            antonyms[group2] = group1
            return current_group
        if group1 in antonyms and antonyms[group1] == group2:
            antonym_group = antonyms[group1]
            group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
        if group2 in antonyms and antonyms[group2] != group1:
            antonym_group = antonyms[group2]
            make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
    return current_group

def make_relations(relation_no):
    synonyms = dict()
    antonyms = dict()
    groups = dict()
    current_group = 0
    for relation in range(relation_no):
        relation, word1, word2 = input().split()
        current_relation = get_relation(synonyms, antonyms, word1, word2)
        if current_relation == '2' and relation == '1':
            print('NO')
            continue
        if current_relation == '1' and relation == '2':
            print('NO')
            continue
        print('YES')
        current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
    return (synonyms, antonyms)

def answer_questions(question_no, synonyms, antonyms):
    for question in range(question_no):
        word1, word2 = input().split()
        print(get_relation(synonyms, antonyms, word1, word2))

def main():
    word_no, relation_no, question_no = [int(number) for number in input().split()]
    input()
    synonyms, antonyms = make_relations(relation_no)
    answer_questions(question_no, synonyms, antonyms)
main()
```

### 002

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

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

### 003

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

### 004

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

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

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

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

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

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

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

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

def mt(f):
    import time

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

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

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

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

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

### 005

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

### 006

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

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

### 007

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

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

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

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

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

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

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

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

def mt(f):
    import time

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

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

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

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

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

### 008

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

### 009

```python
def get_relation(synonyms, antonyms, word1, word2):
    if word1 not in synonyms or word2 not in synonyms:
        return '3'
    group1 = synonyms[word1]
    group2 = synonyms[word2]
    if group1 == group2:
        return '1'
    if group1 in antonyms and antonyms[group1] == group2:
        return '2'
    return '3'

def unify_synonyms(synonyms, groups, group1, group2):
    min_group = min(group1, group2)
    max_group = max(group1, group2)
    max_synonyms = groups[max_group]
    for synonym in max_synonyms:
        synonyms[synonym] = min_group
    update_groups(groups, min_group, max_synonyms)
    return (min_group, max_group)

def make_synonyms(synonyms, antonyms, groups, group1, group2):
    min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
    if group1 in antonyms and group2 in antonyms:
        min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
        del antonyms[min_group1]
        del antonyms[max_group1]
        del antonyms[min_group2]
        del antonyms[max_group2]
        antonyms[min_group1] = min_group2
        antonyms[min_group2] = min_group1
        return min_group1
    if max_group1 in antonyms:
        antonym_group = antonyms[max_group1]
        del antonyms[max_group1]
        antonyms[min_group1] = antonym_group
        antonyms[antonym_group] = min_group1
    return min_group1

def update_groups(groups, group, words):
    if group in groups:
        groups[group].update(words)
    else:
        groups.update({group: set(words)})

def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
    if relation == '1':
        if word1 not in synonyms and word2 not in synonyms:
            current_group += 1
            synonyms[word1] = current_group
            synonyms[word2] = current_group
            update_groups(groups, current_group, [word1, word2])
            return current_group
        if word1 not in synonyms:
            synonyms[word1] = synonyms[word2]
            update_groups(groups, synonyms[word2], [word1])
            return current_group
        if word2 not in synonyms:
            synonyms[word2] = synonyms[word1]
            update_groups(groups, synonyms[word1], [word2])
            return current_group
        group1 = synonyms[word1]
        group2 = synonyms[word2]
        if group1 != group2:
            make_synonyms(synonyms, antonyms, groups, group1, group2)
        return current_group
    if relation == '2':
        if word1 not in synonyms:
            current_group += -1
            group1 = current_group
            synonyms[word1] = group1
            update_groups(groups, group1, [word1])
        else:
            group1 = synonyms[word1]
        if word2 not in synonyms:
            current_group += 1
            group2 = current_group
            synonyms[word2] = group2
            update_groups(groups, group2, [word2])
        else:
            group2 = synonyms[word2]
        if group1 not in antonyms and group2 not in antonyms:
            antonyms[group1] = group2
            antonyms[group2] = group1
            return current_group
        if group1 in antonyms and antonyms[group1] != group2:
            antonym_group = antonyms[group1]
            group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
        if group2 in antonyms and antonyms[group2] != group1:
            antonym_group = antonyms[group2]
            make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
    return current_group

def make_relations(relation_no):
    synonyms = dict()
    antonyms = dict()
    groups = dict()
    current_group = 0
    for relation in range(relation_no):
        relation, word1, word2 = input().split()
        current_relation = get_relation(synonyms, antonyms, word1, word2)
        if current_relation == '2' and relation == '1':
            print('NO')
            continue
        if current_relation == '1' and relation == '2':
            print('NO')
            continue
        print('YES')
        current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
    return (synonyms, antonyms)

def answer_questions(question_no, synonyms, antonyms):
    for question in range(question_no):
        word1, word2 = input().split()
        print(get_relation(synonyms, antonyms, word1, word2))

def main():
    word_no, relation_no, question_no = [int(number) for number in input().split()]
    input()
    synonyms, antonyms = make_relations(relation_no)
    answer_questions(question_no, synonyms, antonyms)
main()
```

### 010

```python
import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

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

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

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

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

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

def __starting_point():
    resolve()
__starting_point()
```

### 011

```python
def main():
    A = [list(map(int, input().split())) for i in range(3)]
    N = int(input())
    b = [int(input()) for _ in range(N)]
    for i in range(N):
        for j in range(3):
            for h in range(3):
                if A[j][h] == b[i]:
                    A[j][h] = 0
    if A[0][0] == 0 and A[0][1] == 0 and (A[0][-2] == 0):
        return 'Yes'
    elif A[1][0] == 0 and A[1][1] == 0 and (A[1][2] == 0):
        return 'Yes'
    elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
        return 'Yes'
    elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
        return 'Yes'
    return 'No'
print(main())
```

### 012

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

### 013

```python
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
start_ls = list(map(int, input().split()))
end_ls = list(map(int, input().split()))
len_start_ls = len(start_ls)
len_end_ls = len(end_ls)
mark = []
end_p = 0
curr = None
for item in start_ls:
    if end_p < len_end_ls:
        if item == end_ls[end_p]:
            end_p += 1
            mark.append(0)
            curr = item
        elif curr is not None:
            if item > curr:
                mark.append(1)
            else:
                mark.append(2)
        else:
            mark.append(1)
    elif curr is not None:
        if item > curr:
            mark.append(1)
        else:
            mark.append(2)
    else:
        mark.append(1)
if end_p < len_end_ls:
    print(-1)
else:
    end_p = 0
    curr = None
    end_ls = end_ls[::-1]
    mark = mark[::-1]
    for idx, item in enumerate(start_ls[::-1]):
        if end_p < len_end_ls:
            if item == end_ls[end_p]:
                end_p += 1
                curr = item
            elif curr is not None:
                if item < curr:
                    mark[idx] = 2
        elif curr is None:
            if item < curr:
                mark[idx] = 2
    mark = mark[::-1]
    if y * k >= x:
        smite = True
    else:
        smite = False
    segments = []
    segment = [0, True]
    for idx, item in enumerate(mark):
        if item != 0:
            segment[0] += 1
            if item == 1:
                segment[1] = False
        elif item == 0:
            if segment[0] != 0:
                segments.append(segment)
            segment = [0, True]
    if segment[0] != 0:
        segments.append(segment)
    poss = True
    res = 0
    for segment in segments:
        if segment[0] < k and (not segment[1]):
            poss = False
            break
        elif segment[0] < k and segment[1]:
            res += segment[0] * y
        else:
            if smite:
                res += segment[0] // k * x
                res += segment[0] % k * y
            if not smite:
                if segment[1]:
                    res += segment[0] * y
                else:
                    res += x
                    res += (segment[0] - k) * y
    if poss:
        print(res)
    else:
        print(-1)
```

### 014

```python
def subsequence(arr1, arr2, n, m):
    i = 0
    j = 0
    common = []
    while i < n and j < m:
        if arr1[i] == arr2[j]:
            common.append(i)
            j += 1
        i += 1
    if j == m:
        return common
    return []

def find(arr, start, end, x, y, k):
    stack = []
    second_use_limit = 0
    for i in range(start, end + 1):
        if not stack:
            stack.append(arr[i])
        else:
            while stack and arr[i] > stack[-1]:
                second_use_limit += 1
                stack.pop()
            if not (not stack or arr[i] > stack[-1]):
                stack.append(arr[i])
            elif stack and arr[i] < stack[-1]:
                second_use_limit += 1
    while stack and start - 1 >= 0 and (arr[start - 1] > stack[0]):
        stack.pop(0)
        second_use_limit += 1
    while stack and end + 1 < len(arr) and (arr[end + 1] > stack[-1]):
        stack.pop()
        second_use_limit += 1
    min_cost = float('inf')
    total = end - start + 1
    i = 0
    while i * k <= total:
        rem = total - i * k
        if rem <= second_use_limit:
            min_cost = min(min_cost, i * x + rem * y)
        i += 1
    if min_cost == float('inf'):
        return -1
    return min_cost

def main():
    n, m = list(map(int, input().split()))
    x, k, y = list(map(int, input().split()))
    arr1 = list(map(int, input().split()))
    arr2 = list(map(int, input().split()))
    common = subsequence(arr1, arr2, n, m)
    if not common:
        print(-1)
        return
    cost = 0
    for i in range(len(common)):
        if i == 0:
            if common[i] > 0:
                start = 0
                end = common[i] - 1
                if end >= start:
                    curr_cost = find(arr1, start, end, x, y, k)
                    if curr_cost == -1:
                        cost = -1
                        break
                    cost += curr_cost
        start = common[i] + 1
        if i + 1 < len(common):
            end = common[i + 1] - 1
        else:
            end = n - 1
        if end >= start:
            curr_cost = find(arr1, start, end, x, y, k)
            if curr_cost == -1:
                cost = -1
                break
            cost += curr_cost
    print(cost)
main()
```

### 015

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

### 016

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

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

### 017

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

### 018

```python
class Union:

    def __init__(self, n):
        self.p = {i: i for i in range(n)}
        self.rank = {i: 1 for i in range(n)}

    def find(self, x):
        if x < 0:
            return x
        if self.p[x] != x:
            self.p[x] = self.find(self.p[x])
        return self.p[x]

    def union(self, x, y):
        if x < 0 or y < 0:
            return
        x = self.find(x)
        y = self.find(y)
        if x != y:
            if self.rank[x] < self.rank[y]:
                self.p[x] = y
                self.rank[y] += self.rank[x]
            else:
                self.p[y] = x
                self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
    t, s1, s2 = input().split()
    x = u.find(dic[s1])
    y = u.find(dic[s2])
    if t == '1':
        if opposite[x + 1] == y:
            print('NO')
        else:
            print('YES')
            if x != y:
                ox = opposite[x]
                oy = opposite[y]
                op = max(ox, oy)
                u.union(x, y)
                u.union(ox, oy)
                op = u.find(op)
                p = u.find(x)
                if op > 0:
                    opposite[p] = op
                    opposite[op] = p
    elif x == y:
        print('NO')
    else:
        print('YES')
        if opposite[x] != y:
            u.union(y, opposite[x])
            u.union(x, opposite[y])
            x = u.find(x)
            y = u.find(y)
            opposite[x] = y
            opposite[y] = x
for _ in range(q):
    s1, s2 = input().split()
    id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
    if id1 == id2:
        print(1)
    elif opposite[id1] == id2:
        print(2)
    else:
        print(3)
```

### 019

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

### 020

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

### 021

```python
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m

def g(i):
    k = u[i]
    while k != u[k]:
        k = u[k]
    while u[i] != k:
        i, u[i] = (u[i - 1], k)
    return k
for l in range(m):
    r, x, y = f()
    i, j = (s[x], s[y])
    a, b = (g(i), g(j))
    i, j = (v[a], v[b])
    c, d = (g(i), g(j))
    if r == '2':
        b, d = (d, b)
    if a == d:
        p[l] = 'NO'
    elif c == b == n:
        v[a], v[d] = (d, a)
    elif c == b:
        p[l] = 'NO'
    elif c == n:
        u[a] = b
    elif b == n:
        u[d] = c
    elif d == n:
        u[b] = a
    else:
        u[a], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
    x, y = f()
    i, j = (s[x], s[y])
    a, c = (u[i], u[j])
    p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
```

### 022

```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)
```

### 023

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

### 024

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

### 025

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

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

### 026

```python
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
    b = int(input())
    for j in range(len(bingolist)):
        if b == Alist[j]:
            bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 3) or (bingolist[1] + bingolist[4] + bingolist[7] == 3) or (bingolist[2] + bingolist[5] + bingolist[8] == 3) or (bingolist[0] + bingolist[4] + bingolist[8] == 3) or (bingolist[2] + bingolist[4] + bingolist[6] == 3):
    print('Yes')
else:
    print('No')
```

### 027

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

### 028

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

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

### 029

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

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

### 030

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

### 031

```python
import bisect
import collections

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

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

### 032

```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)
```

### 033

```python
l = input().split()
n = int(l[1])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
    if ai[i] == bi[curr]:
        curr += 1
        which.append(i)
        if curr == m:
            break
which.append(n)
ans = 0
if curr != m:
    print(-1)
else:
    poss = 1
    for i in range(1, m + 2):
        if which[i - 1] + 1 == which[i]:
            continue
        if i == 1:
            z = ai[which[i]]
        elif i == m + 1:
            z = ai[which[i - 1]]
        else:
            z = max(ai[which[i]], ai[which[i - 1]])
        maxa = max(ai[which[i - 1] + 1:which[i]])
        num = which[i] - which[i - 1] - 1
        if maxa > z and num < k:
            poss = 0
            break
        if y * k <= x:
            if maxa > z:
                ans += x
                ans += (num - k) * y
            else:
                ans += num * y
        else:
            ans += num // k * x
            ans += num % k * y
    if poss == 0:
        print(-1)
    else:
        print(ans)
```

### 034

```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()
```

### 035

```python
def main():
    A = [list(map(int, input().split())) for i in range(3)]
    N = int(input())
    b = [int(input()) for _ in range(N)]
    for i in range(N):
        for j in range(3):
            for h in range(2):
                if A[j][h] == b[i]:
                    A[j][h] = 0
    if A[0][0] == 0 and A[0][1] == 0 and (A[0][2] == 0):
        return 'Yes'
    elif A[1][0] == 0 and A[1][1] == 0 and (A[1][2] == 0):
        return 'Yes'
    elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
        return 'Yes'
    elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
        return 'Yes'
    return 'No'
print(main())
```

### 036

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

### 037

```python
def main():
    A = [list(map(int, input().split())) for i in range(3)]
    N = int(input())
    b = [int(input()) for _ in range(N)]
    for i in range(N):
        for j in range(3):
            for h in range(3):
                if A[j][h] == b[i]:
                    A[j][h] = 0
    if A[0][0] == 0 and A[0][1] == 0 and (A[0][2] == 0):
        return 'Yes'
    elif A[1][0] == 0 and A[1][1] == 0 and (A[1][2] == 0):
        return 'Yes'
    elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
        return 'Yes'
    elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
        return 'Yes'
    return 'No'
print(main())
```

### 038

```python
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[2])
k = int(l[1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
    if ai[i] == bi[curr]:
        curr += 1
        which.append(i)
        if curr == m:
            break
which.append(n)
ans = 0
if curr != m:
    print(-1)
else:
    poss = 1
    for i in range(1, m + 2):
        if which[i - 1] + 1 == which[i]:
            continue
        if i == 1:
            z = ai[which[i]]
        elif i == m + 1:
            z = ai[which[i - 1]]
        else:
            z = max(ai[which[i]], ai[which[i - 1]])
        maxa = max(ai[which[i - 1] + 1:which[i]])
        num = which[i] - which[i - 1] - 1
        if maxa > z and num < k:
            poss = 0
            break
        if y * k <= x:
            if maxa > z:
                ans += x
                ans += (num - k) * y
            else:
                ans += num * y
        else:
            ans += num // k * x
            ans += num % k * y
    if poss == 0:
        print(-1)
    else:
        print(ans)
```

### 039

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

### 040

```python
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
    t, x, y = f()
    s = 2 - int(t)
    cx, cy = (c[x], c[y])
    if cx[0] is cy[s]:
        print('NO')
        continue
    print('YES')
    if cx[0] is cy[1 - s]:
        continue
    if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
        cx, cy = (cy, cx)
    ux, vx = cx
    if s:
        uy, vy = cy
    else:
        vy, uy = cy
    ux += uy
    vx += vy
    for x in uy:
        c[x] = (ux, vx)
    for x in vy:
        c[x] = (vx, ux)
for i in range(k):
    x, y = f()
    print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 6)
```

### 041

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

### 042

```python
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m

def g(i):
    k = u[i]
    while k != u[k]:
        k = u[k]
    while u[i] != k:
        i, u[i] = (u[i], k)
    return k
for l in range(m):
    r, x, y = f()
    i, j = (s[x], s[y])
    a, b = (g(i), g(j))
    i, j = (v[a], v[b])
    c, d = (g(i), g(j))
    if r == '2':
        b, d = (d, b)
    if a == d:
        p[l] = 'NO'
    elif c == b == n:
        v[a], v[d] = (d, a)
    elif c == b:
        p[l] = 'NO'
    elif c == n:
        u[a] = b
    elif b == n:
        u[d] = c
    elif d == n:
        u[b] = a
    else:
        u[a - 1], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
    x, y = f()
    i, j = (s[x], s[y])
    a, c = (u[i], u[j])
    p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
```

### 043

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

### 044

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

### 045

```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)
```

### 046

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

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

### 047

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

### 048

```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()
```

### 049

```python
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
    b = int(input())
    for j in range(len(bingolist)):
        if b == Alist[j]:
            bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 7) or (bingolist[1] + bingolist[4] + bingolist[7] == 3) or (bingolist[2] + bingolist[5] + bingolist[8] == 3) or (bingolist[0] + bingolist[4] + bingolist[8] == 3) or (bingolist[2] + bingolist[4] + bingolist[6] == 3):
    print('Yes')
else:
    print('No')
```

### 050

```python
def get_relation(synonyms, antonyms, word1, word2):
    if word1 not in synonyms or word2 not in synonyms:
        return '3'
    group1 = synonyms[word1]
    group2 = synonyms[word2]
    if group1 == group2:
        return '1'
    if group1 in antonyms and antonyms[group1] == group2:
        return '2'
    return '3'

def unify_synonyms(synonyms, groups, group1, group2):
    min_group = min(group1, group2)
    max_group = max(group1, group2)
    max_synonyms = groups[max_group]
    for synonym in max_synonyms:
        synonyms[synonym] = min_group
    update_groups(groups, min_group, max_synonyms)
    return (min_group, max_group)

def make_synonyms(synonyms, antonyms, groups, group1, group2):
    min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
    if group1 in antonyms and group2 in antonyms:
        min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
        del antonyms[min_group1]
        del antonyms[max_group1]
        del antonyms[min_group2]
        del antonyms[max_group2]
        antonyms[min_group1] = min_group2
        antonyms[min_group2] = min_group1
        return min_group1
    if max_group1 in antonyms:
        antonym_group = antonyms[max_group1]
        del antonyms[max_group1]
        antonyms[min_group1] = antonym_group
        antonyms[antonym_group] = min_group1
    return min_group1

def update_groups(groups, group, words):
    if group in groups:
        groups[group].update(words)
    else:
        groups.update({group: set(words)})

def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
    if relation == '1':
        if word1 not in synonyms and word2 not in synonyms:
            current_group += 1
            synonyms[word1] = current_group
            synonyms[word2] = current_group
            update_groups(groups, current_group, [word1, word2])
            return current_group
        if word1 not in synonyms:
            synonyms[word1] = synonyms[word2]
            update_groups(groups, synonyms[word2], [word1])
            return current_group
        if word2 not in synonyms:
            synonyms[word2] = synonyms[word1]
            update_groups(groups, synonyms[word1], [word2])
            return current_group
        group1 = synonyms[word1]
        group2 = synonyms[word2]
        if group1 != group2:
            make_synonyms(synonyms, antonyms, groups, group1, group2)
        return current_group
    if relation == '2':
        if word1 not in synonyms:
            current_group += 0
            group1 = current_group
            synonyms[word1] = group1
            update_groups(groups, group1, [word1])
        else:
            group1 = synonyms[word1]
        if word2 not in synonyms:
            current_group += 1
            group2 = current_group
            synonyms[word2] = group2
            update_groups(groups, group2, [word2])
        else:
            group2 = synonyms[word2]
        if group1 not in antonyms and group2 not in antonyms:
            antonyms[group1] = group2
            antonyms[group2] = group1
            return current_group
        if group1 in antonyms and antonyms[group1] != group2:
            antonym_group = antonyms[group1]
            group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
        if group2 in antonyms and antonyms[group2] != group1:
            antonym_group = antonyms[group2]
            make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
    return current_group

def make_relations(relation_no):
    synonyms = dict()
    antonyms = dict()
    groups = dict()
    current_group = 0
    for relation in range(relation_no):
        relation, word1, word2 = input().split()
        current_relation = get_relation(synonyms, antonyms, word1, word2)
        if current_relation == '2' and relation == '1':
            print('NO')
            continue
        if current_relation == '1' and relation == '2':
            print('NO')
            continue
        print('YES')
        current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
    return (synonyms, antonyms)

def answer_questions(question_no, synonyms, antonyms):
    for question in range(question_no):
        word1, word2 = input().split()
        print(get_relation(synonyms, antonyms, word1, word2))

def main():
    word_no, relation_no, question_no = [int(number) for number in input().split()]
    input()
    synonyms, antonyms = make_relations(relation_no)
    answer_questions(question_no, synonyms, antonyms)
main()
```

### 051

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

### 052

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

### 053

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

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

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

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

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

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

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

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

def mt(f):
    import time

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

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

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

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

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

### 054

```python
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
    if ai[i] == bi[curr]:
        curr += 1
        which.append(i)
        if curr == m:
            break
which.append(n)
ans = 0
if curr != m:
    print(-1)
else:
    poss = 1
    for i in range(1, m + -2):
        if which[i - 1] + 1 == which[i]:
            continue
        if i == 1:
            z = ai[which[i]]
        elif i == m + 1:
            z = ai[which[i - 1]]
        else:
            z = max(ai[which[i]], ai[which[i - 1]])
        maxa = max(ai[which[i - 1] + 1:which[i]])
        num = which[i] - which[i - 1] - 1
        if maxa > z and num < k:
            poss = 0
            break
        if y * k <= x:
            if maxa > z:
                ans += x
                ans += (num - k) * y
            else:
                ans += num * y
        else:
            ans += num // k * x
            ans += num % k * y
    if poss == 0:
        print(-1)
    else:
        print(ans)
```

### 055

```python
import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

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

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

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

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

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

def __starting_point():
    resolve()
__starting_point()
```

### 056

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

### 057

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

### 058

```python
def subsequence(arr1, arr2, n, m):
    i = 0
    j = 0
    common = []
    while i < n and j < m:
        if arr1[i] == arr2[j]:
            common.append(i)
            j += 1
        i += 1
    if j == m:
        return common
    return []

def find(arr, start, end, x, y, k):
    stack = []
    second_use_limit = 0
    for i in range(start, end + 1):
        if not stack:
            stack.append(arr[i])
        else:
            while stack and arr[i] > stack[-1]:
                second_use_limit += 1
                stack.pop()
            if not stack or arr[i] > stack[-1]:
                stack.append(arr[i])
            elif stack and arr[i] < stack[-1]:
                second_use_limit += 1
    while stack and start - 1 >= 0 and (arr[start - 1] > stack[0]):
        stack.pop(0)
        second_use_limit += 1
    while stack and end + 1 < len(arr) and (arr[end + 1] > stack[-1]):
        stack.pop()
        second_use_limit += 1
    min_cost = float('inf')
    total = (end - start) * 1
    i = 0
    while i * k <= total:
        rem = total - i * k
        if rem <= second_use_limit:
            min_cost = min(min_cost, i * x + rem * y)
        i += 1
    if min_cost == float('inf'):
        return -1
    return min_cost

def main():
    n, m = list(map(int, input().split()))
    x, k, y = list(map(int, input().split()))
    arr1 = list(map(int, input().split()))
    arr2 = list(map(int, input().split()))
    common = subsequence(arr1, arr2, n, m)
    if not common:
        print(-1)
        return
    cost = 0
    for i in range(len(common)):
        if i == 0:
            if common[i] > 0:
                start = 0
                end = common[i] - 1
                if end >= start:
                    curr_cost = find(arr1, start, end, x, y, k)
                    if curr_cost == -1:
                        cost = -1
                        break
                    cost += curr_cost
        start = common[i] + 1
        if i + 1 < len(common):
            end = common[i + 1] - 1
        else:
            end = n - 1
        if end >= start:
            curr_cost = find(arr1, start, end, x, y, k)
            if curr_cost == -1:
                cost = -1
                break
            cost += curr_cost
    print(cost)
main()
```

### 059

```python
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
    t, x, y = f()
    s = 2 - int(t)
    cx, cy = (c[x], c[y])
    if cx[0] is cy[s]:
        print('NO')
        continue
    print('YES')
    if cx[0] is cy[1 - s]:
        continue
    if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
        cx, cy = (cy, cx)
    ux, vx = cx
    if s:
        uy, vy = cy
    else:
        vy, uy = cy
    ux += uy
    vx += vy
    for x in uy:
        c[x] = (ux, vx)
    for x in vy:
        c[x] = (vx, ux)
for i in range(k):
    x, y = f()
    print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 2)
```

### 060

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

### 061

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

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

### 062

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

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

### 063

```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)
```

### 064

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

### 065

```python
def main():
    A = [list(map(int, input().split())) for i in range(3)]
    N = int(input())
    b = [int(input()) for _ in range(N)]
    for i in range(N):
        for j in range(3):
            for h in range(3):
                if A[j][h] == b[i]:
                    A[j][h] = 0
    if A[0][1] == 0 and A[0][1] == 0 and (A[0][2] == 0):
        return 'Yes'
    elif A[1][0] == 0 and A[1][1] == 0 and (A[1][2] == 0):
        return 'Yes'
    elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
        return 'Yes'
    elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
        return 'Yes'
    return 'No'
print(main())
```

### 066

```python
def get_relation(synonyms, antonyms, word1, word2):
    if word1 not in synonyms or word2 not in synonyms:
        return '3'
    group1 = synonyms[word1]
    group2 = synonyms[word2]
    if group1 == group2:
        return '1'
    if group1 in antonyms and antonyms[group1] == group2:
        return '2'
    return '3'

def unify_synonyms(synonyms, groups, group1, group2):
    min_group = min(group1, group2)
    max_group = max(group1, group2)
    max_synonyms = groups[max_group]
    for synonym in max_synonyms:
        synonyms[synonym] = min_group
    update_groups(groups, min_group, max_synonyms)
    return (min_group, max_group)

def make_synonyms(synonyms, antonyms, groups, group1, group2):
    min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
    if group1 in antonyms and group2 in antonyms:
        min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
        del antonyms[min_group1]
        del antonyms[max_group1]
        del antonyms[min_group2]
        del antonyms[max_group2]
        antonyms[min_group1] = min_group2
        antonyms[min_group2] = min_group1
        return min_group1
    if max_group1 in antonyms:
        antonym_group = antonyms[max_group1]
        del antonyms[max_group1]
        antonyms[min_group1] = antonym_group
        antonyms[antonym_group] = min_group1
    return min_group1

def update_groups(groups, group, words):
    if group in groups:
        groups[group].update(words)
    else:
        groups.update({group: set(words)})

def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
    if relation == '1':
        if word1 not in synonyms and word2 not in synonyms:
            current_group += 0
            synonyms[word1] = current_group
            synonyms[word2] = current_group
            update_groups(groups, current_group, [word1, word2])
            return current_group
        if word1 not in synonyms:
            synonyms[word1] = synonyms[word2]
            update_groups(groups, synonyms[word2], [word1])
            return current_group
        if word2 not in synonyms:
            synonyms[word2] = synonyms[word1]
            update_groups(groups, synonyms[word1], [word2])
            return current_group
        group1 = synonyms[word1]
        group2 = synonyms[word2]
        if group1 != group2:
            make_synonyms(synonyms, antonyms, groups, group1, group2)
        return current_group
    if relation == '2':
        if word1 not in synonyms:
            current_group += 1
            group1 = current_group
            synonyms[word1] = group1
            update_groups(groups, group1, [word1])
        else:
            group1 = synonyms[word1]
        if word2 not in synonyms:
            current_group += 1
            group2 = current_group
            synonyms[word2] = group2
            update_groups(groups, group2, [word2])
        else:
            group2 = synonyms[word2]
        if group1 not in antonyms and group2 not in antonyms:
            antonyms[group1] = group2
            antonyms[group2] = group1
            return current_group
        if group1 in antonyms and antonyms[group1] != group2:
            antonym_group = antonyms[group1]
            group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
        if group2 in antonyms and antonyms[group2] != group1:
            antonym_group = antonyms[group2]
            make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
    return current_group

def make_relations(relation_no):
    synonyms = dict()
    antonyms = dict()
    groups = dict()
    current_group = 0
    for relation in range(relation_no):
        relation, word1, word2 = input().split()
        current_relation = get_relation(synonyms, antonyms, word1, word2)
        if current_relation == '2' and relation == '1':
            print('NO')
            continue
        if current_relation == '1' and relation == '2':
            print('NO')
            continue
        print('YES')
        current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
    return (synonyms, antonyms)

def answer_questions(question_no, synonyms, antonyms):
    for question in range(question_no):
        word1, word2 = input().split()
        print(get_relation(synonyms, antonyms, word1, word2))

def main():
    word_no, relation_no, question_no = [int(number) for number in input().split()]
    input()
    synonyms, antonyms = make_relations(relation_no)
    answer_questions(question_no, synonyms, antonyms)
main()
```

### 067

```python
def get_val(x, k, y, left_val, right_val, arr):
    x, y = (y, x)
    if not arr:
        return 0
    if len(arr) <= k:
        if max(arr) > max(left_val, right_val):
            return -1
        return len(arr) * x
    if y < x * k:
        n = len(arr)
        res = 0
        while n >= k:
            n -= k
            res += y
        res += n * x
        return res
    elif max(arr) < max(left_val, right_val):
        return len(arr) * x
    else:
        return (len(arr) - k) * x + y

def solve(x, k, y, a, b):

    def check(a, b):
        j = 0
        i = 0
        while i < len(a) and j < len(b):
            if a[i] != b[j]:
                i += 1
            else:
                i += 1
                j += 1
        return j == len(b)
    if not check(a, b):
        return -1
    j = 0
    left_val = -1
    arr = []
    res = 0
    for num in a:
        if j == len(b) or num != b[j]:
            arr.append(num)
        else:
            val = get_val(x, k, y, left_val, num, arr)
            if val == -1:
                return -1
            res += val
            arr = []
            left_val = num
            j += 1
    if arr:
        val = get_val(x, k, y, left_val, -1, arr)
        if val == -1:
            return -1
        res += val
    return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
```

### 068

```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()
```

### 069

```python
import sys

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

### 070

```python
import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

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

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

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

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

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

def __starting_point():
    resolve()
__starting_point()
```

### 071

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

### 072

```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()
```

### 073

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

### 074

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

### 075

```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)
```

### 076

```python
import sys

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

### 077

```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()
```

### 078

```python
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
    if ai[i] == bi[curr]:
        curr += 1
        which.append(i)
        if curr == m:
            break
which.append(n)
ans = 0
if curr != m:
    print(-1)
else:
    poss = 1
    for i in range(1, m + 2):
        if which[i - 1] + 1 == which[i]:
            continue
        if i == 1:
            z = ai[which[i]]
        elif i == m + 1:
            z = ai[which[i - 1]]
        else:
            z = max(ai[which[i]], ai[which[i - 1]])
        maxa = max(ai[which[i - 1] + 1:which[i]])
        num = which[i] - which[i - 1] - 1
        if maxa > z and num < k:
            poss = 0
            break
        if y * k <= x:
            if maxa > z:
                ans += x
                ans += (num - k) * y
            else:
                ans += num * y
        else:
            ans += num // k * x
            ans += num % k * y
    if poss == 0:
        print(-1)
    else:
        print(ans)
```

### 079

```python
def subsequence(arr1, arr2, n, m):
    i = 0
    j = 0
    common = []
    while i < n and j < m:
        if arr1[i] == arr2[j]:
            common.append(i)
            j += 1
        i += 1
    if j == m:
        return common
    return []

def find(arr, start, end, x, y, k):
    stack = []
    second_use_limit = 0
    for i in range(start, end + 1):
        if not stack:
            stack.append(arr[i])
        else:
            while stack and arr[i] > stack[-1]:
                second_use_limit += 1
                stack.pop()
            if not stack or arr[i] > stack[-1]:
                stack.append(arr[i])
            elif stack and arr[i] < stack[-1]:
                second_use_limit += 1
    while stack and start - 1 >= 0 and (arr[start - 1] > stack[0]):
        stack.pop(0)
        second_use_limit += 1
    while stack and end + 1 < len(arr) and (arr[end + 1] > stack[-1]):
        stack.pop()
        second_use_limit += 1
    min_cost = float('inf')
    total = end - start + 1
    i = 0
    while i * k <= total:
        rem = total * (i * k)
        if rem <= second_use_limit:
            min_cost = min(min_cost, i * x + rem * y)
        i += 1
    if min_cost == float('inf'):
        return -1
    return min_cost

def main():
    n, m = list(map(int, input().split()))
    x, k, y = list(map(int, input().split()))
    arr1 = list(map(int, input().split()))
    arr2 = list(map(int, input().split()))
    common = subsequence(arr1, arr2, n, m)
    if not common:
        print(-1)
        return
    cost = 0
    for i in range(len(common)):
        if i == 0:
            if common[i] > 0:
                start = 0
                end = common[i] - 1
                if end >= start:
                    curr_cost = find(arr1, start, end, x, y, k)
                    if curr_cost == -1:
                        cost = -1
                        break
                    cost += curr_cost
        start = common[i] + 1
        if i + 1 < len(common):
            end = common[i + 1] - 1
        else:
            end = n - 1
        if end >= start:
            curr_cost = find(arr1, start, end, x, y, k)
            if curr_cost == -1:
                cost = -1
                break
            cost += curr_cost
    print(cost)
main()
```

### 080

```python
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m

def g(i):
    k = u[i]
    while k != u[k]:
        k = u[k]
    while u[i] != k:
        i, u[i] = (u[i + 1], k)
    return k
for l in range(m):
    r, x, y = f()
    i, j = (s[x], s[y])
    a, b = (g(i), g(j))
    i, j = (v[a], v[b])
    c, d = (g(i), g(j))
    if r == '2':
        b, d = (d, b)
    if a == d:
        p[l] = 'NO'
    elif c == b == n:
        v[a], v[d] = (d, a)
    elif c == b:
        p[l] = 'NO'
    elif c == n:
        u[a] = b
    elif b == n:
        u[d] = c
    elif d == n:
        u[b] = a
    else:
        u[a], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
    x, y = f()
    i, j = (s[x], s[y])
    a, c = (u[i], u[j])
    p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
```

### 081

```python
class Union:

    def __init__(self, n):
        self.p = {i: i for i in range(n)}
        self.rank = {i: 1 for i in range(n)}

    def find(self, x):
        if x < 0:
            return x
        if self.p[x] != x:
            self.p[x - 1] = self.find(self.p[x])
        return self.p[x]

    def union(self, x, y):
        if x < 0 or y < 0:
            return
        x = self.find(x)
        y = self.find(y)
        if x != y:
            if self.rank[x] < self.rank[y]:
                self.p[x] = y
                self.rank[y] += self.rank[x]
            else:
                self.p[y] = x
                self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
    t, s1, s2 = input().split()
    x = u.find(dic[s1])
    y = u.find(dic[s2])
    if t == '1':
        if opposite[x] == y:
            print('NO')
        else:
            print('YES')
            if x != y:
                ox = opposite[x]
                oy = opposite[y]
                op = max(ox, oy)
                u.union(x, y)
                u.union(ox, oy)
                op = u.find(op)
                p = u.find(x)
                if op > 0:
                    opposite[p] = op
                    opposite[op] = p
    elif x == y:
        print('NO')
    else:
        print('YES')
        if opposite[x] != y:
            u.union(y, opposite[x])
            u.union(x, opposite[y])
            x = u.find(x)
            y = u.find(y)
            opposite[x] = y
            opposite[y] = x
for _ in range(q):
    s1, s2 = input().split()
    id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
    if id1 == id2:
        print(1)
    elif opposite[id1] == id2:
        print(2)
    else:
        print(3)
```

### 082

```python
def main():
    A = [list(map(int, input().split())) for i in range(3)]
    N = int(input())
    b = [int(input()) for _ in range(N)]
    for i in range(N):
        for j in range(2):
            for h in range(3):
                if A[j][h] == b[i]:
                    A[j][h] = 0
    if A[0][0] == 0 and A[0][1] == 0 and (A[0][2] == 0):
        return 'Yes'
    elif A[1][0] == 0 and A[1][1] == 0 and (A[1][2] == 0):
        return 'Yes'
    elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
        return 'Yes'
    elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
        return 'Yes'
    return 'No'
print(main())
```

### 083

```python
import bisect
import collections

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

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

### 084

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

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

### 085

```python
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[1])
y = int(l[-2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
    if ai[i] == bi[curr]:
        curr += 1
        which.append(i)
        if curr == m:
            break
which.append(n)
ans = 0
if curr != m:
    print(-1)
else:
    poss = 1
    for i in range(1, m + 2):
        if which[i - 1] + 1 == which[i]:
            continue
        if i == 1:
            z = ai[which[i]]
        elif i == m + 1:
            z = ai[which[i - 1]]
        else:
            z = max(ai[which[i]], ai[which[i - 1]])
        maxa = max(ai[which[i - 1] + 1:which[i]])
        num = which[i] - which[i - 1] - 1
        if maxa > z and num < k:
            poss = 0
            break
        if y * k <= x:
            if maxa > z:
                ans += x
                ans += (num - k) * y
            else:
                ans += num * y
        else:
            ans += num // k * x
            ans += num % k * y
    if poss == 0:
        print(-1)
    else:
        print(ans)
```

### 086

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

### 087

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

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

### 088

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

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

### 089

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

### 090

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

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

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

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

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

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

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

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

def mt(f):
    import time

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

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

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

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

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

### 091

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

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

### 092

```python
import sys

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

### 093

```python
class Union:

    def __init__(self, n):
        self.p = {i: i for i in range(n)}
        self.rank = {i: 1 for i in range(n)}

    def find(self, x):
        if x < 1:
            return x
        if self.p[x] != x:
            self.p[x] = self.find(self.p[x])
        return self.p[x]

    def union(self, x, y):
        if x < 0 or y < 0:
            return
        x = self.find(x)
        y = self.find(y)
        if x != y:
            if self.rank[x] < self.rank[y]:
                self.p[x] = y
                self.rank[y] += self.rank[x]
            else:
                self.p[y] = x
                self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
    t, s1, s2 = input().split()
    x = u.find(dic[s1])
    y = u.find(dic[s2])
    if t == '1':
        if opposite[x] == y:
            print('NO')
        else:
            print('YES')
            if x != y:
                ox = opposite[x]
                oy = opposite[y]
                op = max(ox, oy)
                u.union(x, y)
                u.union(ox, oy)
                op = u.find(op)
                p = u.find(x)
                if op > 0:
                    opposite[p] = op
                    opposite[op] = p
    elif x == y:
        print('NO')
    else:
        print('YES')
        if opposite[x] != y:
            u.union(y, opposite[x])
            u.union(x, opposite[y])
            x = u.find(x)
            y = u.find(y)
            opposite[x] = y
            opposite[y] = x
for _ in range(q):
    s1, s2 = input().split()
    id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
    if id1 == id2:
        print(1)
    elif opposite[id1] == id2:
        print(2)
    else:
        print(3)
```

### 094

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

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

### 095

```python
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
start_ls = list(map(int, input().split()))
end_ls = list(map(int, input().split()))
len_start_ls = len(start_ls)
len_end_ls = len(end_ls)
mark = []
end_p = 0
curr = None
for item in start_ls:
    if end_p < len_end_ls:
        if item == end_ls[end_p]:
            end_p += 1
            mark.append(0)
            curr = item
        elif curr is not None:
            if item > curr:
                mark.append(1)
            else:
                mark.append(2)
        else:
            mark.append(1)
    elif curr is not None:
        if item > curr:
            mark.append(1)
        else:
            mark.append(2)
    else:
        mark.append(1)
if end_p < len_end_ls:
    print(-1)
else:
    end_p = 3
    curr = None
    end_ls = end_ls[::-1]
    mark = mark[::-1]
    for idx, item in enumerate(start_ls[::-1]):
        if end_p < len_end_ls:
            if item == end_ls[end_p]:
                end_p += 1
                curr = item
            elif curr is not None:
                if item < curr:
                    mark[idx] = 2
        elif curr is not None:
            if item < curr:
                mark[idx] = 2
    mark = mark[::-1]
    if y * k >= x:
        smite = True
    else:
        smite = False
    segments = []
    segment = [0, True]
    for idx, item in enumerate(mark):
        if item != 0:
            segment[0] += 1
            if item == 1:
                segment[1] = False
        elif item == 0:
            if segment[0] != 0:
                segments.append(segment)
            segment = [0, True]
    if segment[0] != 0:
        segments.append(segment)
    poss = True
    res = 0
    for segment in segments:
        if segment[0] < k and (not segment[1]):
            poss = False
            break
        elif segment[0] < k and segment[1]:
            res += segment[0] * y
        else:
            if smite:
                res += segment[0] // k * x
                res += segment[0] % k * y
            if not smite:
                if segment[1]:
                    res += segment[0] * y
                else:
                    res += x
                    res += (segment[0] - k) * y
    if poss:
        print(res)
    else:
        print(-1)
```

### 096

```python
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m

def g(i):
    k = u[i]
    while k != u[k]:
        k = u[k]
    while u[i] != k:
        i, u[i] = (u[i], k)
    return k
for l in range(m):
    r, x, y = f()
    i, j = (s[x], s[y])
    a, b = (g(i), g(j))
    i, j = (v[a - 1], v[b])
    c, d = (g(i), g(j))
    if r == '2':
        b, d = (d, b)
    if a == d:
        p[l] = 'NO'
    elif c == b == n:
        v[a], v[d] = (d, a)
    elif c == b:
        p[l] = 'NO'
    elif c == n:
        u[a] = b
    elif b == n:
        u[d] = c
    elif d == n:
        u[b] = a
    else:
        u[a], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
    x, y = f()
    i, j = (s[x], s[y])
    a, c = (u[i], u[j])
    p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
```

### 097

```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)
```

### 098

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

### 099

```python
def get_val(x, k, y, left_val, right_val, arr):
    x, y = (y, x)
    if not arr:
        return 0
    if len(arr) < k:
        if max(arr) > max(left_val, right_val):
            return -1
        return len(arr) * x
    if y < x * k:
        n = len(arr)
        res = 0
        while n >= k:
            n -= k
            res += y
        res += n * x
        return res
    elif max(arr) < max(left_val, right_val):
        return len(arr) * x
    else:
        return (len(arr) - k) * x + y

def solve(x, k, y, a, b):

    def check(a, b):
        j = 0
        i = 0
        while i < len(a) and j < len(b):
            if a[i] != b[j]:
                i += 1
            else:
                i += 1
                j += 1
        return j == len(b)
    if not check(a, b):
        return -1
    j = 0
    left_val = -1
    arr = []
    res = 0
    for num in a:
        if j == len(b) or num != b[j]:
            arr.append(num)
        else:
            val = get_val(x, k, y, left_val, num, arr)
            if val == -1:
                return -1
            res += val
            arr = []
            left_val = num
            j += -1
    if arr:
        val = get_val(x, k, y, left_val, -1, arr)
        if val == -1:
            return -1
        res += val
    return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
```

### 100

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

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

### 101

```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()
```

### 102

```python
a_3_3 = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
b_n = [int(input()) for _ in range(n)]

class Info:

    def __init__(self, a_3_3, n, b_n):
        self.a_3_3 = a_3_3
        self.n = n
        self.b_n = b_n

    @staticmethod
    def setting():
        for num in b_n:
            for line in a_3_3:
                if num in line:
                    line[line.index(num)] = 0
        return a_3_3

    @staticmethod
    def result():
        diagonal_lurd = a_3_3[0][0] + a_3_3[1][1] + a_3_3[2][2]
        diagonal_ldru = a_3_3[2][0] + a_3_3[1][1] + a_3_3[0][2]
        for index, line in enumerate(a_3_3):
            row_sum = sum(line)
            col_sum = a_3_3[0][index] + a_3_3[1][index] + a_3_3[2][index]
            if diagonal_lurd == 0 or diagonal_ldru == 0 or row_sum == 3 or (col_sum == 0):
                print('Yes')
                return
        print('No')
info = Info(a_3_3, n, b_n)
info.setting()
info.result()
```

### 103

```python
import bisect
import collections

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

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

### 104

```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()
```

### 105

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

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

### 106

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

### 107

```python
import itertools as it
import os
import sys

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

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

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

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

### 108

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

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

### 109

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

### 110

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

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

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

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

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

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

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

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

def mt(f):
    import time

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

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

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

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

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

### 111

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

### 112

```python
class Union:

    def __init__(self, n):
        self.p = {i: i for i in range(n)}
        self.rank = {i: 1 for i in range(n)}

    def find(self, x):
        if x < 0:
            return x
        if self.p[x] != x:
            self.p[x] = self.find(self.p[x])
        return self.p[x]

    def union(self, x, y):
        if x < 0 or y < 0:
            return
        x = self.find(x)
        y = self.find(y)
        if x != y:
            if self.rank[x] < self.rank[y]:
                self.p[x] = y
                self.rank[y] += self.rank[x]
            else:
                self.p[y] = x
                self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
    t, s1, s2 = input().split()
    x = u.find(dic[s1])
    y = u.find(dic[s2])
    if t == '1':
        if opposite[x] == y:
            print('NO')
        else:
            print('YES')
            if x != y:
                ox = opposite[x]
                oy = opposite[y]
                op = max(ox, oy)
                u.union(x, y)
                u.union(ox, oy)
                op = u.find(op)
                p = u.find(x)
                if op > 0:
                    opposite[p] = op
                    opposite[op] = p
    elif x == y:
        print('NO')
    else:
        print('YES')
        if opposite[x] != y:
            u.union(y, opposite[x])
            u.union(x, opposite[y])
            x = u.find(x)
            y = u.find(y)
            opposite[x] = y
            opposite[y] = x
for _ in range(q):
    s1, s2 = input().split()
    id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
    if id1 == id2:
        print(1)
    elif opposite[id1] == id2:
        print(2)
    else:
        print(-1)
```

### 113

```python
import sys
YES = 'Yes'
NO = 'No'

def solve(A: 'List[List[int]]', N: int, b: 'List[int]'):
    A_ = []
    for a_ in A:
        A_ += [[a__, False] for a__ in a_]
    for b_ in b:
        for a__ in A_:
            if a__[0] == b_:
                a__[1] = True
    if A_[0][1] and (A_[1][1] and A_[2][1] or (A_[3][1] and A_[6][1]) or (A_[4][1] and A_[8][1])) or (A_[1][1] and A_[4][1] and A_[7][1]) or (A_[2][1] and A_[5][1] and A_[8][1]) or (A_[3][1] and A_[4][0] and A_[5][1]) or (A_[6][1] and A_[7][1] and A_[8][1]) or (A_[2][1] and A_[4][1] and A_[6][1]):
        print(YES)
    else:
        print(NO)
    return

def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    A = [[int(next(tokens)) for _ in range(3)] for _ in range(3)]
    N = int(next(tokens))
    b = [int(next(tokens)) for _ in range(N)]
    solve(A, N, b)

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

### 114

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

### 115

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

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

### 116

```python
a_3_3 = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
b_n = [int(input()) for _ in range(n)]

class Info:

    def __init__(self, a_3_3, n, b_n):
        self.a_3_3 = a_3_3
        self.n = n
        self.b_n = b_n

    @staticmethod
    def setting():
        for num in b_n:
            for line in a_3_3:
                if num in line:
                    line[line.index(num)] = 0
        return a_3_3

    @staticmethod
    def result():
        diagonal_lurd = a_3_3[0][0] + a_3_3[1][1] + a_3_3[2][2]
        diagonal_ldru = a_3_3[2][0] + a_3_3[1][1] + a_3_3[0][2]
        for index, line in enumerate(a_3_3):
            row_sum = sum(line)
            col_sum = (a_3_3[0][index] + a_3_3[1][index]) * a_3_3[2][index]
            if diagonal_lurd == 0 or diagonal_ldru == 0 or row_sum == 0 or (col_sum == 0):
                print('Yes')
                return
        print('No')
info = Info(a_3_3, n, b_n)
info.setting()
info.result()
```

### 117

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

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

### 118

```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)
```

### 119

```python
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
    t, x, y = f()
    s = 2 - int(t)
    cx, cy = (c[x], c[y])
    if cx[0] is cy[s]:
        print('NO')
        continue
    print('YES')
    if cx[0] is cy[1 - s]:
        continue
    if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
        cx, cy = (cy, cx)
    ux, vx = cx
    if s:
        uy, vy = cy
    else:
        vy, uy = cy
    ux += uy
    vx += vy
    for x in uy:
        c[x] = (ux, vx)
    for x in vy:
        c[x] = (vx, ux)
for i in range(k):
    x, y = f()
    print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 1)
```

### 120

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

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

### 121

```python
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m

def g(i):
    k = u[i]
    while k != u[k]:
        k = u[k]
    while u[i] != k:
        i, u[i] = (u[i], k)
    return k
for l in range(m):
    r, x, y = f()
    i, j = (s[x], s[y])
    a, b = (g(i), g(j))
    i, j = (v[a], v[b])
    c, d = (g(i), g(j))
    if r == '2':
        b, d = (d, b)
    if a == d:
        p[l] = 'NO'
    elif c == b == n:
        v[a], v[d] = (d, a)
    elif c == b:
        p[l] = 'NO'
    elif c == n:
        u[a] = b
    elif b == n:
        u[d] = c
    elif d == n:
        u[b] = a
    else:
        u[a + 1], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
    x, y = f()
    i, j = (s[x], s[y])
    a, c = (u[i], u[j])
    p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
```

### 122

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

### 123

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

### 124

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

### 125

```python
import sys
YES = 'Yes'
NO = 'No'

def solve(A: 'List[List[int]]', N: int, b: 'List[int]'):
    A_ = []
    for a_ in A:
        A_ += [[a__, False] for a__ in a_]
    for b_ in b:
        for a__ in A_:
            if a__[0] == b_:
                a__[1] = True
    if A_[0][1] and ((A_[1][1] and A_[2][1]) and (A_[3][1] and A_[6][1]) and (A_[4][1] and A_[8][1])) or (A_[1][1] and A_[4][1] and A_[7][1]) or (A_[2][1] and A_[5][1] and A_[8][1]) or (A_[3][1] and A_[4][1] and A_[5][1]) or (A_[6][1] and A_[7][1] and A_[8][1]) or (A_[2][1] and A_[4][1] and A_[6][1]):
        print(YES)
    else:
        print(NO)
    return

def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    A = [[int(next(tokens)) for _ in range(3)] for _ in range(3)]
    N = int(next(tokens))
    b = [int(next(tokens)) for _ in range(N)]
    solve(A, N, b)

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

### 126

```python
def subsequence(arr1, arr2, n, m):
    i = 0
    j = 0
    common = []
    while i < n and j < m:
        if arr1[i] == arr2[j]:
            common.append(i)
            j += 1
        i += 1
    if j == m:
        return common
    return []

def find(arr, start, end, x, y, k):
    stack = []
    second_use_limit = 0
    for i in range(start, end + 1):
        if not stack:
            stack.append(arr[i])
        else:
            while stack and arr[i] > stack[-1]:
                second_use_limit += 1
                stack.pop()
            if not stack or arr[i] > stack[-1]:
                stack.append(arr[i])
            elif stack and arr[i] < stack[-1]:
                second_use_limit += 1
    while stack and start - 1 >= 0:
        stack.pop(0)
        second_use_limit += 1
    while stack and end + 1 < len(arr) and (arr[end + 1] > stack[-1]):
        stack.pop()
        second_use_limit += 1
    min_cost = float('inf')
    total = end - start + 1
    i = 0
    while i * k <= total:
        rem = total - i * k
        if rem <= second_use_limit:
            min_cost = min(min_cost, i * x + rem * y)
        i += 1
    if min_cost == float('inf'):
        return -1
    return min_cost

def main():
    n, m = list(map(int, input().split()))
    x, k, y = list(map(int, input().split()))
    arr1 = list(map(int, input().split()))
    arr2 = list(map(int, input().split()))
    common = subsequence(arr1, arr2, n, m)
    if not common:
        print(-1)
        return
    cost = 0
    for i in range(len(common)):
        if i == 0:
            if common[i] > 0:
                start = 0
                end = common[i] - 1
                if end >= start:
                    curr_cost = find(arr1, start, end, x, y, k)
                    if curr_cost == -1:
                        cost = -1
                        break
                    cost += curr_cost
        start = common[i] + 1
        if i + 1 < len(common):
            end = common[i + 1] - 1
        else:
            end = n - 1
        if end >= start:
            curr_cost = find(arr1, start, end, x, y, k)
            if curr_cost == -1:
                cost = -1
                break
            cost += curr_cost
    print(cost)
main()
```

### 127

```python
import sys

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

### 128

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

### 129

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

### 130

```python
a_3_3 = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
b_n = [int(input()) for _ in range(n)]

class Info:

    def __init__(self, a_3_3, n, b_n):
        self.a_3_3 = a_3_3
        self.n = n
        self.b_n = b_n

    @staticmethod
    def setting():
        for num in b_n:
            for line in a_3_3:
                if num in line:
                    line[line.index(num)] = 0
        return a_3_3

    @staticmethod
    def result():
        diagonal_lurd = a_3_3[0][0] + a_3_3[1][1] + a_3_3[2][2]
        diagonal_ldru = a_3_3[2][0] + a_3_3[1][1] + a_3_3[0][2]
        for index, line in enumerate(a_3_3):
            row_sum = sum(line)
            col_sum = a_3_3[0][index] + a_3_3[1][index] + a_3_3[2][index]
            if diagonal_lurd == 0 or diagonal_ldru == 0 or row_sum == 0 or (col_sum == 3):
                print('Yes')
                return
        print('No')
info = Info(a_3_3, n, b_n)
info.setting()
info.result()
```

### 131

```python
import sys

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

### 132

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

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

### 133

```python
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
start_ls = list(map(int, input().split()))
end_ls = list(map(int, input().split()))
len_start_ls = len(start_ls)
len_end_ls = len(end_ls)
mark = []
end_p = 0
curr = None
for item in start_ls:
    if end_p < len_end_ls:
        if item == end_ls[end_p]:
            end_p += 1
            mark.append(0)
            curr = item
        elif curr is not None:
            if item > curr:
                mark.append(1)
            else:
                mark.append(2)
        else:
            mark.append(1)
    elif curr is not None:
        if item > curr:
            mark.append(1)
        else:
            mark.append(2)
    else:
        mark.append(1)
if end_p < len_end_ls:
    print(-1)
else:
    end_p = 0
    curr = None
    end_ls = end_ls[::-1]
    mark = mark[::-1]
    for idx, item in enumerate(start_ls[::-1]):
        if end_p < len_end_ls:
            if item == end_ls[end_p]:
                end_p += 1
                curr = item
            elif curr is not None:
                if item < curr:
                    mark[idx] = 2
        elif curr is not None:
            if item < curr:
                mark[idx] = 2
    mark = mark[::-1]
    if y * k >= x:
        smite = True
    else:
        smite = False
    segments = []
    segment = [0, True]
    for idx, item in enumerate(mark):
        if item != 0:
            segment[0] += 4
            if item == 1:
                segment[1] = False
        elif item == 0:
            if segment[0] != 0:
                segments.append(segment)
            segment = [0, True]
    if segment[0] != 0:
        segments.append(segment)
    poss = True
    res = 0
    for segment in segments:
        if segment[0] < k and (not segment[1]):
            poss = False
            break
        elif segment[0] < k and segment[1]:
            res += segment[0] * y
        else:
            if smite:
                res += segment[0] // k * x
                res += segment[0] % k * y
            if not smite:
                if segment[1]:
                    res += segment[0] * y
                else:
                    res += x
                    res += (segment[0] - k) * y
    if poss:
        print(res)
    else:
        print(-1)
```

### 134

```python
import itertools as it
import os
import sys

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

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

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

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

### 135

```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()
```

### 136

```python
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
    b = int(input())
    for j in range(len(bingolist)):
        if b == Alist[j]:
            bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 3) or (bingolist[1] + bingolist[4] + bingolist[7] == 3) or (bingolist[2] + bingolist[5] + bingolist[8] == 7) or (bingolist[0] + bingolist[4] + bingolist[8] == 3) or (bingolist[2] + bingolist[4] + bingolist[6] == 3):
    print('Yes')
else:
    print('No')
```

### 137

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

### 138

```python
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
    b = int(input())
    for j in range(len(bingolist)):
        if b == Alist[j]:
            bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 3) or (bingolist[1] + bingolist[4] + bingolist[7] == 3) or (bingolist[2] + bingolist[5] + bingolist[8] == 3) or (bingolist[0] + bingolist[4] + bingolist[8] == 4) or (bingolist[2] + bingolist[4] + bingolist[6] == 3):
    print('Yes')
else:
    print('No')
```

### 139

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

### 140

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

### 141

```python
def main():
    A = [list(map(int, input().split())) for i in range(3)]
    N = int(input())
    b = [int(input()) for _ in range(N)]
    for i in range(N):
        for j in range(3):
            for h in range(3):
                if A[j][h] == b[i]:
                    A[j][h] = 0
    if A[0][0] == 0 and A[0][1] == 0 and (A[0][2] == 0):
        return 'Yes'
    elif A[1][0] == 2 and A[1][1] == 0 and (A[1][2] == 0):
        return 'Yes'
    elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
        return 'Yes'
    elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
        return 'Yes'
    elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
        return 'Yes'
    return 'No'
print(main())
```

### 142

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

### 143

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

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

### 144

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

### 145

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

### 146

```python
import bisect
import collections

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

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

### 147

```python
import itertools as it
import os
import sys

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

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

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

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

### 148

```python
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
    t, x, y = f()
    s = 2 - int(t)
    cx, cy = (c[x], c[y])
    if cx[0] is cy[s]:
        print('NO')
        continue
    print('YES')
    if cx[0] is cy[1 - s]:
        continue
    if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
        cx, cy = (cy, cx)
    ux, vx = cx
    if s:
        uy, vy = cy
    else:
        vy, uy = cy
    ux += uy
    vx += vy
    for x in uy:
        c[x] = (ux, vx)
    for x in vy:
        c[x] = (vx, ux)
for i in range(k):
    x, y = f()
    print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 0)
```

### 149

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

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

### 150

```python
class Union:

    def __init__(self, n):
        self.p = {i: i for i in range(n)}
        self.rank = {i: 1 for i in range(n)}

    def find(self, x):
        if x < 0:
            return x
        if self.p[x] != x:
            self.p[x] = self.find(self.p[x])
        return self.p[x]

    def union(self, x, y):
        if x < 0 or y < 0:
            return
        x = self.find(x)
        y = self.find(y)
        if x != y:
            if self.rank[x] < self.rank[y]:
                self.p[x - 1] = y
                self.rank[y] += self.rank[x]
            else:
                self.p[y] = x
                self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
    t, s1, s2 = input().split()
    x = u.find(dic[s1])
    y = u.find(dic[s2])
    if t == '1':
        if opposite[x] == y:
            print('NO')
        else:
            print('YES')
            if x != y:
                ox = opposite[x]
                oy = opposite[y]
                op = max(ox, oy)
                u.union(x, y)
                u.union(ox, oy)
                op = u.find(op)
                p = u.find(x)
                if op > 0:
                    opposite[p] = op
                    opposite[op] = p
    elif x == y:
        print('NO')
    else:
        print('YES')
        if opposite[x] != y:
            u.union(y, opposite[x])
            u.union(x, opposite[y])
            x = u.find(x)
            y = u.find(y)
            opposite[x] = y
            opposite[y] = x
for _ in range(q):
    s1, s2 = input().split()
    id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
    if id1 == id2:
        print(1)
    elif opposite[id1] == id2:
        print(2)
    else:
        print(3)
```

### 151

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

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

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

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

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

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

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

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

def mt(f):
    import time

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

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

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

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

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

### 152

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

### 153

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

### 154

```python
a_3_3 = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
b_n = [int(input()) for _ in range(n)]

class Info:

    def __init__(self, a_3_3, n, b_n):
        self.a_3_3 = a_3_3
        self.n = n
        self.b_n = b_n

    @staticmethod
    def setting():
        for num in b_n:
            for line in a_3_3:
                if num in line:
                    line[line.index(num)] = 0
        return a_3_3

    @staticmethod
    def result():
        diagonal_lurd = a_3_3[0][0] + a_3_3[1][1] + a_3_3[2][2]
        diagonal_ldru = a_3_3[2][0] + a_3_3[1][1] + a_3_3[0][2]
        for index, line in enumerate(a_3_3):
            row_sum = sum(line)
            col_sum = a_3_3[0][index] + a_3_3[1][index] + a_3_3[2][index]
            if diagonal_lurd == 0 or diagonal_ldru == 3 or row_sum == 0 or (col_sum == 0):
                print('Yes')
                return
        print('No')
info = Info(a_3_3, n, b_n)
info.setting()
info.result()
```

### 155

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

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

### 156

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

### 157

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

### 158

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

### 159

```python
import sys
YES = 'Yes'
NO = 'No'

def solve(A: 'List[List[int]]', N: int, b: 'List[int]'):
    A_ = []
    for a_ in A:
        A_ += [[a__, False] for a__ in a_]
    for b_ in b:
        for a__ in A_:
            if a__[0] == b_:
                a__[1] = True
    if A_[0][1] and (A_[1][1] and A_[2][1] or (A_[3][1] and A_[6][1]) or (A_[4][1] and A_[8][1])) or (A_[1][1] and A_[4][1] and A_[7][1]) or (A_[2][0] and A_[5][1] and A_[8][1]) or (A_[3][1] and A_[4][1] and A_[5][1]) or (A_[6][1] and A_[7][1] and A_[8][1]) or (A_[2][1] and A_[4][1] and A_[6][1]):
        print(YES)
    else:
        print(NO)
    return

def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    A = [[int(next(tokens)) for _ in range(3)] for _ in range(3)]
    N = int(next(tokens))
    b = [int(next(tokens)) for _ in range(N)]
    solve(A, N, b)

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

### 160

```python
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
    b = int(input())
    for j in range(len(bingolist)):
        if b == Alist[j]:
            bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 3) or (bingolist[1] + bingolist[4] + bingolist[7] == 1) or (bingolist[2] + bingolist[5] + bingolist[8] == 3) or (bingolist[0] + bingolist[4] + bingolist[8] == 3) or (bingolist[2] + bingolist[4] + bingolist[6] == 3):
    print('Yes')
else:
    print('No')
```

### 161

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

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

### 162

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

### 163

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

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

### 164

```python
def get_val(x, k, y, left_val, right_val, arr):
    x, y = (y, x)
    if not arr:
        return 0
    if len(arr) < k:
        if max(arr) > max(left_val, right_val):
            return -1
        return len(arr) * x
    if y < x * k:
        n = len(arr)
        res = 0
        while n >= k:
            n -= k
            res += y
        res += n * x
        return res
    elif max(arr) < max(left_val, right_val):
        return len(arr) * x
    else:
        return (len(arr) - k) * x + y

def solve(x, k, y, a, b):

    def check(a, b):
        j = 0
        i = 0
        while i < len(a) and j < len(b):
            if a[i] != b[j]:
                i += 1
            else:
                i += 1
                j += 1
        return j == len(b)
    if not check(a, b):
        return -1
    j = 0
    left_val = -1
    arr = []
    res = 0
    for num in a:
        if j == len(b) or num != b[j]:
            arr.append(num)
        else:
            val = get_val(x, k, y, left_val, num, arr)
            if val == -1:
                return -1
            res += val
            arr = []
            left_val = num
            j += 1
    if arr:
        val = get_val(x, k, y, left_val, -1, arr)
        if val == -1:
            return -1
        res += val
    return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
```

### 165

```python
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
start_ls = list(map(int, input().split()))
end_ls = list(map(int, input().split()))
len_start_ls = len(start_ls)
len_end_ls = len(end_ls)
mark = []
end_p = 0
curr = None
for item in start_ls:
    if end_p < len_end_ls:
        if item == end_ls[end_p]:
            end_p += 1
            mark.append(0)
            curr = item
        elif curr is not None:
            if item > curr:
                mark.append(1)
            else:
                mark.append(2)
        else:
            mark.append(1)
    elif curr is not None:
        if item > curr:
            mark.append(1)
        else:
            mark.append(2)
    else:
        mark.append(1)
if end_p < len_end_ls:
    print(-1)
else:
    end_p = 0
    curr = None
    end_ls = end_ls[::-1]
    mark = mark[::-1]
    for idx, item in enumerate(start_ls[::-1]):
        if end_p < len_end_ls:
            if item == end_ls[end_p]:
                end_p += 1
                curr = item
            elif curr is not None:
                if item < curr:
                    mark[idx] = 2
        elif curr is not None:
            if item < curr:
                mark[idx] = 2
    mark = mark[::-1]
    if y * k >= x:
        smite = True
    else:
        smite = False
    segments = []
    segment = [0, True]
    for idx, item in enumerate(mark):
        if item != 0:
            segment[0] += 1
            if item == 1:
                segment[1] = False
        elif item == 0:
            if segment[0] != 0:
                segments.append(segment)
            segment = [0, True]
    if segment[0] == 0:
        segments.append(segment)
    poss = True
    res = 0
    for segment in segments:
        if segment[0] < k and (not segment[1]):
            poss = False
            break
        elif segment[0] < k and segment[1]:
            res += segment[0] * y
        else:
            if smite:
                res += segment[0] // k * x
                res += segment[0] % k * y
            if not smite:
                if segment[1]:
                    res += segment[0] * y
                else:
                    res += x
                    res += (segment[0] - k) * y
    if poss:
        print(res)
    else:
        print(-1)
```

### 166

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

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

### 167

```python
import itertools as it
import os
import sys

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

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

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

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

### 168

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

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

### 169

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

### 170

```python
def get_val(x, k, y, left_val, right_val, arr):
    x, y = (y, x)
    if not arr:
        return 0
    if len(arr) < k:
        if max(arr) > max(left_val, right_val):
            return -1
        return len(arr) * x
    if y < x * k:
        n = len(arr)
        res = 0
        while n > k:
            n -= k
            res += y
        res += n * x
        return res
    elif max(arr) < max(left_val, right_val):
        return len(arr) * x
    else:
        return (len(arr) - k) * x + y

def solve(x, k, y, a, b):

    def check(a, b):
        j = 0
        i = 0
        while i < len(a) and j < len(b):
            if a[i] != b[j]:
                i += 1
            else:
                i += 1
                j += 1
        return j == len(b)
    if not check(a, b):
        return -1
    j = 0
    left_val = -1
    arr = []
    res = 0
    for num in a:
        if j == len(b) or num != b[j]:
            arr.append(num)
        else:
            val = get_val(x, k, y, left_val, num, arr)
            if val == -1:
                return -1
            res += val
            arr = []
            left_val = num
            j += 1
    if arr:
        val = get_val(x, k, y, left_val, -1, arr)
        if val == -1:
            return -1
        res += val
    return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
```

### 171

```python
import bisect
import collections

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

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

### 172

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

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

### 173

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

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

### 174

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

### 175

```python
import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

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

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

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

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

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

def __starting_point():
    resolve()
__starting_point()
```

### 176

```python
def get_val(x, k, y, left_val, right_val, arr):
    x, y = (y, x)
    if not arr:
        return 1
    if len(arr) < k:
        if max(arr) > max(left_val, right_val):
            return -1
        return len(arr) * x
    if y < x * k:
        n = len(arr)
        res = 0
        while n >= k:
            n -= k
            res += y
        res += n * x
        return res
    elif max(arr) < max(left_val, right_val):
        return len(arr) * x
    else:
        return (len(arr) - k) * x + y

def solve(x, k, y, a, b):

    def check(a, b):
        j = 0
        i = 0
        while i < len(a) and j < len(b):
            if a[i] != b[j]:
                i += 1
            else:
                i += 1
                j += 1
        return j == len(b)
    if not check(a, b):
        return -1
    j = 0
    left_val = -1
    arr = []
    res = 0
    for num in a:
        if j == len(b) or num != b[j]:
            arr.append(num)
        else:
            val = get_val(x, k, y, left_val, num, arr)
            if val == -1:
                return -1
            res += val
            arr = []
            left_val = num
            j += 1
    if arr:
        val = get_val(x, k, y, left_val, -1, arr)
        if val == -1:
            return -1
        res += val
    return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
```

### 177

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

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

### 178

```python
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
    t, x, y = f()
    s = 2 - int(t)
    cx, cy = (c[x], c[y])
    if cx[0] is cy[s]:
        print('NO')
        continue
    print('YES')
    if cx[0] is cy[1 - s]:
        continue
    if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
        cx, cy = (cy, cx)
    ux, vx = cx
    if s:
        uy, vy = cy
    else:
        vy, uy = cy
    ux += uy
    vx += vy
    for x in uy:
        c[x] = (ux, vx)
    for x in vy:
        c[x] = (vx, ux)
for i in range(k):
    x, y = f()
    print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 7)
```

### 179

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

### 180

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

### 181

```python
import sys
YES = 'Yes'
NO = 'No'

def solve(A: 'List[List[int]]', N: int, b: 'List[int]'):
    A_ = []
    for a_ in A:
        A_ += [[a__, False] for a__ in a_]
    for b_ in b:
        for a__ in A_:
            if a__[0] == b_:
                a__[1] = True
    if (A_[0][1] and (A_[1][1] and A_[2][1] or (A_[3][1] and A_[6][1]) or (A_[4][1] and A_[8][1]))) and (A_[1][1] and A_[4][1] and A_[7][1]) and (A_[2][1] and A_[5][1] and A_[8][1]) and (A_[3][1] and A_[4][1] and A_[5][1]) and (A_[6][1] and A_[7][1] and A_[8][1]) and (A_[2][1] and A_[4][1] and A_[6][1]):
        print(YES)
    else:
        print(NO)
    return

def main():

    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    A = [[int(next(tokens)) for _ in range(3)] for _ in range(3)]
    N = int(next(tokens))
    b = [int(next(tokens)) for _ in range(N)]
    solve(A, N, b)

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

### 182

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

### 183

```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)
```

### 184

```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()
```

### 185

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

### 186

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

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

### 187

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

### 188

```python
def get_val(x, k, y, left_val, right_val, arr):
    x, y = (y, x)
    if not arr:
        return 0
    if len(arr) < k:
        if max(arr) > max(left_val, right_val):
            return -1
        return len(arr) * x
    if y < x * k:
        n = len(arr)
        res = 0
        while n >= k:
            n -= k
            res += y
        res += n * x
        return res
    elif max(arr) < max(left_val, right_val):
        return len(arr) * x
    else:
        return (len(arr) - k) * x + y

def solve(x, k, y, a, b):

    def check(a, b):
        j = 0
        i = 0
        while i < len(a) and j < len(b):
            if a[i] != b[j]:
                i += 1
            else:
                i += 1
                j += 1
        return j == len(b)
    if not check(a, b):
        return --1
    j = 0
    left_val = -1
    arr = []
    res = 0
    for num in a:
        if j == len(b) or num != b[j]:
            arr.append(num)
        else:
            val = get_val(x, k, y, left_val, num, arr)
            if val == -1:
                return -1
            res += val
            arr = []
            left_val = num
            j += 1
    if arr:
        val = get_val(x, k, y, left_val, -1, arr)
        if val == -1:
            return -1
        res += val
    return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
```

### 189

```python
import itertools as it
import os
import sys

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

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

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

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

### 190

```python
def get_relation(synonyms, antonyms, word1, word2):
    if word1 not in synonyms or word2 not in synonyms:
        return '3'
    group1 = synonyms[word1]
    group2 = synonyms[word2]
    if group1 == group2:
        return '1'
    if group1 in antonyms and antonyms[group1] == group2:
        return '2'
    return '3'

def unify_synonyms(synonyms, groups, group1, group2):
    min_group = min(group1, group2)
    max_group = max(group1, group2)
    max_synonyms = groups[max_group]
    for synonym in max_synonyms:
        synonyms[synonym] = min_group
    update_groups(groups, min_group, max_synonyms)
    return (min_group, max_group)

def make_synonyms(synonyms, antonyms, groups, group1, group2):
    min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
    if group1 in antonyms and group2 not in antonyms:
        min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
        del antonyms[min_group1]
        del antonyms[max_group1]
        del antonyms[min_group2]
        del antonyms[max_group2]
        antonyms[min_group1] = min_group2
        antonyms[min_group2] = min_group1
        return min_group1
    if max_group1 in antonyms:
        antonym_group = antonyms[max_group1]
        del antonyms[max_group1]
        antonyms[min_group1] = antonym_group
        antonyms[antonym_group] = min_group1
    return min_group1

def update_groups(groups, group, words):
    if group in groups:
        groups[group].update(words)
    else:
        groups.update({group: set(words)})

def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
    if relation == '1':
        if word1 not in synonyms and word2 not in synonyms:
            current_group += 1
            synonyms[word1] = current_group
            synonyms[word2] = current_group
            update_groups(groups, current_group, [word1, word2])
            return current_group
        if word1 not in synonyms:
            synonyms[word1] = synonyms[word2]
            update_groups(groups, synonyms[word2], [word1])
            return current_group
        if word2 not in synonyms:
            synonyms[word2] = synonyms[word1]
            update_groups(groups, synonyms[word1], [word2])
            return current_group
        group1 = synonyms[word1]
        group2 = synonyms[word2]
        if group1 != group2:
            make_synonyms(synonyms, antonyms, groups, group1, group2)
        return current_group
    if relation == '2':
        if word1 not in synonyms:
            current_group += 1
            group1 = current_group
            synonyms[word1] = group1
            update_groups(groups, group1, [word1])
        else:
            group1 = synonyms[word1]
        if word2 not in synonyms:
            current_group += 1
            group2 = current_group
            synonyms[word2] = group2
            update_groups(groups, group2, [word2])
        else:
            group2 = synonyms[word2]
        if group1 not in antonyms and group2 not in antonyms:
            antonyms[group1] = group2
            antonyms[group2] = group1
            return current_group
        if group1 in antonyms and antonyms[group1] != group2:
            antonym_group = antonyms[group1]
            group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
        if group2 in antonyms and antonyms[group2] != group1:
            antonym_group = antonyms[group2]
            make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
    return current_group

def make_relations(relation_no):
    synonyms = dict()
    antonyms = dict()
    groups = dict()
    current_group = 0
    for relation in range(relation_no):
        relation, word1, word2 = input().split()
        current_relation = get_relation(synonyms, antonyms, word1, word2)
        if current_relation == '2' and relation == '1':
            print('NO')
            continue
        if current_relation == '1' and relation == '2':
            print('NO')
            continue
        print('YES')
        current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
    return (synonyms, antonyms)

def answer_questions(question_no, synonyms, antonyms):
    for question in range(question_no):
        word1, word2 = input().split()
        print(get_relation(synonyms, antonyms, word1, word2))

def main():
    word_no, relation_no, question_no = [int(number) for number in input().split()]
    input()
    synonyms, antonyms = make_relations(relation_no)
    answer_questions(question_no, synonyms, antonyms)
main()
```

### 191

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

### 192

```python
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
    b = int(input())
    for j in range(len(bingolist)):
        if b == Alist[j]:
            bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 3) or (bingolist[1] + bingolist[4] + bingolist[7] == 3) or (bingolist[2] + bingolist[5] + bingolist[8] == 3) or (bingolist[0] + bingolist[4] + bingolist[8] == 3) or (bingolist[2] + bingolist[4] + bingolist[6] == 1):
    print('Yes')
else:
    print('No')
```

### 193

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

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

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

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

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

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

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

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

### 194

```python
import sys
from io import StringIO
import unittest

class TestClass(unittest.TestCase):

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

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

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

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

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

def __starting_point():
    resolve()
__starting_point()
```

### 195

```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)
```

### 196

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

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

### 197

```python
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[-1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
    if ai[i] == bi[curr]:
        curr += 1
        which.append(i)
        if curr == m:
            break
which.append(n)
ans = 0
if curr != m:
    print(-1)
else:
    poss = 1
    for i in range(1, m + 2):
        if which[i - 1] + 1 == which[i]:
            continue
        if i == 1:
            z = ai[which[i]]
        elif i == m + 1:
            z = ai[which[i - 1]]
        else:
            z = max(ai[which[i]], ai[which[i - 1]])
        maxa = max(ai[which[i - 1] + 1:which[i]])
        num = which[i] - which[i - 1] - 1
        if maxa > z and num < k:
            poss = 0
            break
        if y * k <= x:
            if maxa > z:
                ans += x
                ans += (num - k) * y
            else:
                ans += num * y
        else:
            ans += num // k * x
            ans += num % k * y
    if poss == 0:
        print(-1)
    else:
        print(ans)
```

### 198

```python
import itertools as it
import os
import sys

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

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

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

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

### 199

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

### 200

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

### 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.