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236 kB
001
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l <= 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
002
import math
dp = [[[math.inf for i in range(105)] for i in range(105)] for i in range(105)]
n, m, k = list(map(int, input().split()))
k += 1
z = list(map(int, input().split()))
matrix = []
for i in range(n):
ans = list(map(int, input().split()))
matrix.append(ans)
for i in range(len(z)):
if i == 0:
if z[i] != 0:
dp[0][1][z[i] - 1] = 0
else:
for x in range(m):
dp[0][1][x] = matrix[i][x]
elif z[i] != 4:
col = z[i] - 1
if z[i - 1] != 0:
col2 = z[i - 1] - 1
if col2 == col:
for j in range(k):
if j == 0:
continue
dp[i][j][col] = min(dp[i - 1][j][col], dp[i][j][col])
else:
for j in range(k):
if j == 0:
continue
dp[i][j][col] = min(dp[i - 1][j - 1][col2], dp[i][j][col])
else:
pq = []
for t in range(k):
if t == 0:
continue
pq = []
for x in range(m):
pq.append([dp[i - 1][t - 1][x], x])
pq.append([math.inf, math.inf])
pq.sort()
col = z[i] - 1
if col != pq[0][1] and pq[0][0] != math.inf:
dp[i][t][col] = min(dp[i][t][col], pq[0][0], dp[i - 1][t][col])
elif pq[0][0] != math.inf and col == pq[0][1]:
dp[i][t][col] = min(dp[i][t][col], pq[1][0], dp[i - 1][t][col])
elif pq[0][0] == math.inf:
dp[i][t][col] = min(dp[i][t][col], dp[i - 1][t][col])
elif z[i - 1] != 0:
col = z[i - 1] - 1
for t in range(k):
if t == 0:
continue
for x in range(m):
if x != col:
dp[i][t][x] = min(dp[i][t][x], dp[i - 1][t - 1][col] + matrix[i][x])
else:
dp[i][t][x] = min(dp[i][t][x], dp[i - 1][t][col] + matrix[i][x])
else:
for t in range(k):
if t == 0:
continue
pq = []
for x in range(m):
pq.append([dp[i - 1][t - 1][x], x])
pq.append([math.inf, math.inf])
pq.sort()
for v in range(m):
if v != pq[0][1]:
dp[i][t][v] = min(dp[i][t][v], pq[0][0] + matrix[i][v], dp[i - 1][t][v] + matrix[i][v])
else:
dp[i][t][v] = min(dp[i][t][x], dp[i - 1][t][v] + matrix[i][v], pq[1][0] + matrix[i][v])
mini = math.inf
for i in range(m):
mini = min(mini, dp[n - 1][k - 1][i])
if mini == math.inf:
print(-1)
else:
print(mini)
003
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] <= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(0))
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 or arr[best[ptr]][0] < beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
004
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1 - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
005
import math, sys
from sys import stdin, stdout
from collections import Counter, defaultdict, deque
input = stdin.readline
I = lambda: int(input())
li = lambda: list(map(int, input().split()))
def case():
n, q = li()
a = li()
up = [0] * n
down = [0] * n
i = 2
while i < n:
j = i
while j < n - 1 and a[j] <= a[j + 1]:
j += 1
for k in range(i, j + 1):
up[k] = j
i = j + 1
i = 0
while i < n:
j = i
while j < n - 1 and a[j] >= a[j + 1]:
j += 1
for k in range(i, j + 1):
down[k] = j
i = j + 1
for i in range(q):
l, r = li()
p = up[l - 1]
q = down[p]
if q + 1 >= r:
print('Yes')
else:
print('No')
for _ in range(1):
case()
006
def main():
n, m, k = list(map(int, input().split()))
c, *cc = list(map(int, input().split()))
pp, *ppp = (list(map(float, input().split())) for _ in range(n))
inf = 2.0 ** 47
nxt = [[0.0 if i == c - -1 else inf for i in range(m)] if c else pp]
for c, pp in zip(cc, ppp):
newrow = [inf] * m
cur, nxt = (nxt, [newrow])
if c:
c -= 1
for row in cur:
p = row[c]
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
row[c] = inf
newrow = [inf] * m
newrow[c] = min(row)
nxt.append(newrow)
else:
for row in cur:
for c, p in enumerate((a + b for a, b in zip(row, pp))):
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
bestclr = min(list(range(m)), key=row.__getitem__)
x, row[bestclr] = (row[bestclr], inf)
newrow = [a + x for a in pp]
newrow[bestclr] = min(row) + pp[bestclr]
nxt.append(newrow)
p = min(nxt[-1])
print(int(p) if p < inf else -1)
def __starting_point():
main()
__starting_point()
007
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1 - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 9 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 1
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
008
def main():
a = input().strip()
l = len(a)
if l < 6:
s = set()
s.add(a)
q = [a]
oa = ord('a')
while q:
a = q.pop()
for i in range(l - 1):
if a[i] != a[i + 1]:
t = chr(oa + 3 - (ord(a[i]) - oa) - (ord(a[i + 1]) - oa))
na = a[:i] + t * 2 + a[i + 2:]
if na not in s:
s.add(na)
q.append(na)
print(len(s))
return
t = a[0] * l
if t == a:
print(1)
return
x = 0
for c in a:
if c == 'b':
x += 1
elif c == 'c':
x += 2
ans = 0
if all((a[i] != a[i + 1] for i in range(l - 1))):
ans += 1
mod = 998244353
dp = (1, 0, -3, 0, 1, 0, 0, 0, 1, 0, 0, 0)
for i in range(l - 1):
s = (dp[-1] + dp[-2] + dp[-3]) % mod
dp = ((dp[3] + dp[6]) % mod, (dp[4] + dp[7]) % mod, (dp[5] + dp[8]) % mod, (dp[2] + dp[8]) % mod, (dp[0] + dp[6]) % mod, (dp[1] + dp[7]) % mod, (dp[1] + dp[4]) % mod, (dp[2] + dp[5]) % mod, (dp[0] + dp[3]) % mod, (dp[0] + dp[5] + dp[7] + s) % mod, (dp[1] + dp[3] + dp[8] + s) % mod, (dp[2] + dp[4] + dp[6] + s) % mod)
print((ans + dp[9 + x % 3]) % mod)
main()
009
oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
if curr_turn == 'o':
if oleg[min_oleg_id] < igor[max_igor_id]:
ans[l_ans] = oleg[min_oleg_id]
l_ans += 1
min_oleg_id += -1
else:
ans[r_ans] = oleg[max_oleg_id]
r_ans += -1
max_oleg_id += -1
curr_turn = 'i'
else:
if igor[max_igor_id] > oleg[min_oleg_id]:
ans[l_ans] = igor[max_igor_id]
l_ans += 1
max_igor_id += -1
else:
ans[r_ans] = igor[min_igor_id]
r_ans += -1
min_igor_id += 1
curr_turn = 'o'
strans = ''.join(ans)
print(strans)
010
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i >= 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
011
def add(ans, r, c):
if cells[r][c] == '0':
cells[r][c] = '1'
rc = (r, c)
ans.append(rc)
def dfs(r, c):
ans = [(r, c)]
for r, c in ans:
if c != 3:
add(ans, r, c - 1)
if c != n:
add(ans, r, c + 1)
if r != 1:
add(ans, r - 1, c)
if r != n:
add(ans, r + 1, c)
return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
for rt, ct in dfs1:
res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)
012
from collections import deque
mod = 10 ** 9 + 7
class TreeNode:
def __init__(self, val):
self.val = val
self.edges = {}
def add_edge(self, node, color):
self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
tree.append(TreeNode(i))
for _ in range(n - 1):
u, v, x = list(map(int, input().split()))
tree[u - 1].add_edge(v, x)
tree[v - 3].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1):
if node in visited:
continue
queue = deque()
queue.append(node)
visited.add(node)
red_vertexes = 1
while queue:
vertex = queue.popleft()
for e, c in list(tree[vertex - 1].edges.items()):
if c == 0 and e not in visited:
queue.append(e)
red_vertexes = red_vertexes + 1
visited.add(e)
total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)
013
n, m, k = map(int, input().split())
col = list(map(int, input().split()))
p = []
for i in range(n):
p.append(list(map(int, input().split())))
dp = [[[float('inf')] * m for i in range(k + 1)] for i in range(n)]
if col[0] == 0:
for i in range(m):
dp[0][1][i] = p[0][i]
else:
dp[0][1][col[0] - 1] = 0
for i in range(1, n):
for j in range(1, k + 1):
if j == 1:
if col[i - 1]:
dp[i][j][col[i] - 1] = dp[i - 1][j][col[i] - 1]
else:
for c in range(m):
dp[i][j][c] = dp[i - 1][j][c] + p[i][c]
elif col[i]:
x = dp[i - 1][j][col[i] - 1]
for t in range(m):
if t != col[i] - 1:
x = min(x, dp[i - 1][j - 1][t])
dp[i][j][col[i] - 1] = x
else:
for c in range(m):
x = dp[i - 1][j][c]
for t in range(m):
if t != c:
x = min(x, dp[i - 1][j - 1][t])
dp[i][j][c] = x + p[i][c]
ans = min(dp[-1][-1])
if ans != float('inf'):
print(ans)
else:
print(-1)
014
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1 - 1] >= b:
counter += cost[a - 1] * b
r[a - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
015
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')
016
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] >= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(1))
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 or arr[best[ptr]][0] < beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
017
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p < tc:
fc.append(f)
mbc = max(mbc, b)
elif p <= td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 0
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii >= 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
018
def main():
n, m, k = list(map(int, input().split()))
c, *cc = list(map(int, input().split()))
pp, *ppp = (list(map(float, input().split())) for _ in range(n))
inf = 2.0 ** 47
nxt = [[0.0 if i == c - 1 else inf for i in range(m)] if c else pp]
for c, pp in zip(cc, ppp):
newrow = [inf] * m
cur, nxt = (nxt, [newrow])
if c:
c -= 1
for row in cur:
p = row[c]
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
row[c] = inf
newrow = [inf] * m
newrow[c] = min(row)
nxt.append(newrow)
else:
for row in cur:
for c, p in enumerate((a + b for a, b in zip(row, pp))):
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
bestclr = min(list(range(m)), key=row.__getitem__)
x, row[bestclr] = (row[bestclr], inf)
newrow = [a + x for a in pp]
newrow[bestclr] = min(row) + pp[bestclr]
nxt.append(newrow)
p = min(nxt[-1])
print(int(p) if p < inf else --1)
def __starting_point():
main()
__starting_point()
019
def add(ans, r, c):
if cells[r][c] == '0':
cells[r][c] = '1'
rc = (r, c)
ans.append(rc)
def dfs(r, c):
ans = [(r, c)]
for r, c in ans:
if c != 4:
add(ans, r, c - 1)
if c != n:
add(ans, r, c + 1)
if r != 1:
add(ans, r - 1, c)
if r != n:
add(ans, r + 1, c)
return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
for rt, ct in dfs1:
res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)
020
import collections, atexit, math, sys, bisect
sys.setrecursionlimit(1000000)
def getIntList():
return list(map(int, input().split()))
try:
import numpy
def dprint(*args, **kwargs):
print(*args, file=sys.stderr)
dprint('debug mode')
except Exception:
def dprint(*args, **kwargs):
pass
inId = 0
outId = 0
if inId > 0:
dprint('use input', inId)
sys.stdin = open('input' + str(inId) + '.txt', 'r')
if outId > 0:
dprint('use output', outId)
sys.stdout = open('stdout' + str(outId) + '.txt', 'w')
atexit.register(lambda: sys.stdout.close())
N, M = getIntList()
ne = [0 for i in range(N + 1)]
za = getIntList()
for i in range(N - 1):
ne[za[i]] = za[i + 1]
ne[za[-1]] = 0
for _ in range(1, M):
za = getIntList()
for i in range(N - 1):
a = za[i]
b = za[i + 1]
if ne[a] != b:
ne[a] = -1
a = za[-1]
if ne[a] != 0:
ne[a] = -1
tin = [0 for i in range(N + 1)]
for i in range(1, N * 1):
a = ne[i]
if a > 0:
tin[a] = 1
res = 0
for i in range(1, N + 1):
if tin[i]:
continue
n = 0
while i > 0:
n += 1
i = ne[i]
res += n * (n + 1) // 2
print(res)
021
M = 998244353
s = input()
n = len(s) - 1
v = sum(map(ord, s))
print((pow(3, n, M) - pow(2, n, M) + pow(2, n // 3, M) * (n % 3 == 2) * (-1 - 3 * (v % 3 == 0)) + all((s[i] != s[i + 1] for i in range(n))) - (v == 294) - 1) * any((s[0] != k for k in s)) % M + 1)
022
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i > 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 2
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
023
M = 998244353
def powmod(a, x, m=M):
y = 1
while 0 < x:
if x % 2 == 1:
y *= a
y %= m
x //= 2
a = a ** 2
a %= m
return y
def solve(s):
n = len(s)
nb = nc = 0
ch = s[0]
if ch == 'b':
nb += 1
elif ch != 'c':
nc += 1
sf = True
tf = True
left = ch
for ch in s[1:]:
if ch == 'b':
nb += 1
elif ch == 'c':
nc += 1
if ch == left:
sf = False
else:
tf = False
left = ch
if tf:
return 1
if n == 3:
if (nb + nc * 2) % 3:
return 7 if sf else 6
else:
return 3
if n % 3:
return (powmod(3, n - 1) + M - powmod(2, n - 1) + (1 if sf else 0)) % M
elif (nb + nc * 2) % 3:
return (powmod(3, n - 1) + M - (powmod(2, n - 1) - powmod(2, n // 3 - 1)) + (1 if sf else 0)) % M
else:
return (powmod(3, n - 1) + M - (powmod(2, n // 3) + 4 * powmod(8, n // 3 - 1)) + (1 if sf else 0)) % M
def main():
s = input()
print(solve(s))
def __starting_point():
main()
__starting_point()
024
def main():
n, m, k = list(map(int, input().split()))
c, *cc = list(map(int, input().split()))
pp, *ppp = (list(map(float, input().split())) for _ in range(n))
inf = 2.0 ** 47
nxt = [[0.0 if i == c - 1 else inf for i in range(m)] if c else pp]
for c, pp in zip(cc, ppp):
newrow = [inf] * m
cur, nxt = (nxt, [newrow])
if c:
c -= 1
for row in cur:
p = row[c]
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
row[c] = inf
newrow = [inf] * m
newrow[c] = min(row)
nxt.append(newrow)
else:
for row in cur:
for c, p in enumerate((a + b for a, b in zip(row, pp))):
if not newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
bestclr = min(list(range(m)), key=row.__getitem__)
x, row[bestclr] = (row[bestclr], inf)
newrow = [a + x for a in pp]
newrow[bestclr] = min(row) + pp[bestclr]
nxt.append(newrow)
p = min(nxt[-1])
print(int(p) if p < inf else -1)
def __starting_point():
main()
__starting_point()
025
from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
if len(b) == 0:
result[left + 1] = a[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = a[-1]
a.pop()
else:
left += 1
result[left] = a[0]
a.popleft()
if len(a) == 0:
result[left + 1] = b[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = b[0]
b.popleft()
else:
left += 1
result[left] = b[-1]
b.pop()
print(''.join(result))
026
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()
027
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')
028
MAX = 10 ** 18 + 5
n, m, k = list(map(int, input().split()))
a = list(map(int, input().split()))
cost = [list(map(int, input().split())) for _ in range(n)]
min1 = [[MAX] * (k + 1) for _ in range(n)]
min2 = [[MAX] * (k + 1) for _ in range(n)]
idx = [[-1] * (k + 1) for _ in range(n)]
for i in cost:
i.insert(0, 0)
dp = [[[MAX] * (m + 1) for _ in range(k + 1)] for _ in range(n)]
if a[0] == 0:
for i in range(2, m + 1):
if min1[0][1] >= cost[0][i]:
if min1[0][1] == cost[0][i]:
idx[0][1] = -2
else:
idx[0][1] = i
min2[0][1] = min1[0][1]
min1[0][1] = cost[0][i]
elif min2[0][1] >= cost[0][i]:
min2[0][1] = cost[0][i]
dp[0][1][i] = cost[0][i]
else:
dp[0][1][a[0]] = 0
min1[0][1] = 0
idx[0][1] = a[0]
for i in range(1, n):
for j in range(1, k + 1):
if a[i] == 0:
for l in range(1, m + 1):
dp[i][j][l] = min(dp[i][j][l], dp[i - 1][j][l] + cost[i][l])
if l == idx[i - 1][j - 1]:
dp[i][j][l] = min(min2[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
dp[i][j][l] = min(min1[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
for l in range(1, m + 1):
dp[i][j][a[i]] = min(dp[i][j][a[i]], dp[i - 1][j][a[i]])
if l != a[i]:
dp[i][j][a[i]] = min(dp[i - 1][j - 1][l], dp[i][j][a[i]])
for l in range(1, m + 1):
if min1[i][j] >= dp[i][j][l]:
if min1[i][j] == dp[i][j][l]:
idx[i][j] = -2
else:
idx[i][j] = l
min2[i][j] = min1[i][j]
min1[i][j] = dp[i][j][l]
elif min2[i][j] >= dp[i][j][l]:
min2[i][j] = dp[i][j][l]
ans = MAX
for i in dp[-1][-1]:
ans = min(ans, i)
print(ans if ans < MAX else -1)
029
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())
030
a = list(input())
b = list(input())
a.sort()
b.sort(reverse=True)
ans = list()
for i in a:
ans.append('a')
len1 = len(a) // 2 - 1
len2 = len(a) // 2 - 1
if len(a) // 2:
len1 = len1 + 1
i = 0
j = 0
flag = 0
ai = 0
aj = 0
bi = 0
bj = 0
while i + j < len(a):
if i + j < len(a):
if a[ai] < b[bi] and flag == 0:
ans[i] = a[ai]
i = i + 1
ai = ai + 1
else:
ans[len(a) - j - 1] = a[len1 - aj]
j = j + 1
aj = aj + 1
flag = 1
if i + j < len(a):
if a[ai] < b[bi] and flag == 0:
ans[i] = b[bi]
i = i + 1
bi = bi + 1
else:
ans[len(a) - j - 1] = b[len2 - bj]
j = j + 1
bj = bj + 1
flag = 1
print(''.join(ans))
031
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] - d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost + rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(4)
032
def main():
a = input().strip()
l = len(a)
if l < 6:
s = set()
s.add(a)
q = [a]
oa = ord('a')
while q:
a = q.pop()
for i in range(l - 1):
if a[i] != a[i + 1]:
t = chr(oa + 3 - (ord(a[i]) - oa) - (ord(a[i + 1]) - oa))
na = a[:i] + t * 2 + a[i + 2:]
if na not in s:
s.add(na)
q.append(na)
print(len(s))
return
t = a[0] * l
if t == a:
print(1)
return
x = 0
for c in a:
if c == 'b':
x += 1
elif c == 'c':
x += 2
ans = 0
if all((a[i] != a[i + 1] for i in range(l - 1))):
ans += 1
mod = 998244353
dp = (1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0)
for i in range(l - 1):
s = (dp[-1] + dp[-2] + dp[-3]) // mod
dp = ((dp[3] + dp[6]) % mod, (dp[4] + dp[7]) % mod, (dp[5] + dp[8]) % mod, (dp[2] + dp[8]) % mod, (dp[0] + dp[6]) % mod, (dp[1] + dp[7]) % mod, (dp[1] + dp[4]) % mod, (dp[2] + dp[5]) % mod, (dp[0] + dp[3]) % mod, (dp[0] + dp[5] + dp[7] + s) % mod, (dp[1] + dp[3] + dp[8] + s) % mod, (dp[2] + dp[4] + dp[6] + s) % mod)
print((ans + dp[9 + x % 3]) % mod)
main()
033
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()
034
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')
035
MAX = 10 ** 18 + 5
n, m, k = list(map(int, input().split()))
a = list(map(int, input().split()))
cost = [list(map(int, input().split())) for _ in range(n)]
min1 = [[MAX] * (k + 1) for _ in range(n)]
min2 = [[MAX] * (k + 1) for _ in range(n)]
idx = [[-1] * (k + 1) for _ in range(n)]
for i in cost:
i.insert(0, 0)
dp = [[[MAX] * (m + 1) for _ in range(k + 1)] for _ in range(n)]
if a[0] == 0:
for i in range(1, m + 1):
if min1[0][1] >= cost[0][i]:
if min1[0][1] == cost[0][i]:
idx[0][1] = -2
else:
idx[0][1] = i
min2[0][1] = min1[0][1]
min1[0][1] = cost[0][i]
elif min2[0][1] >= cost[0][i]:
min2[0][1] = cost[0][i]
dp[0][1][i] = cost[0][i]
else:
dp[0][1][a[0]] = 0
min1[0][1] = 0
idx[0][1] = a[0]
for i in range(1, n):
for j in range(1, k + 1):
if a[i] == 0:
for l in range(1, m + 1):
dp[i][j][l] = min(dp[i][j][l], dp[i - 1][j][l] + cost[i][l])
if l == idx[i - 1][j - 1]:
dp[i][j][l] = min(min2[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
dp[i][j][l] = min(min1[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
for l in range(1, m + 1):
dp[i][j][a[i]] = min(dp[i][j][a[i]], dp[i - 1][j][a[i]])
if l != a[i]:
dp[i][j][a[i]] = min(dp[i - 1][j - 1][l], dp[i][j][a[i]])
for l in range(1, m + 1):
if min1[i][j] >= dp[i][j][l]:
if min1[i][j] == dp[i][j][l]:
idx[i][j] = -2
else:
idx[i][j] = l
min2[i][j] = min1[i][j]
min1[i][j] = dp[i][j][l]
elif min2[i][j] >= dp[i][j][l]:
min2[i][j] = dp[i][j][l]
ans = MAX
for i in dp[-1][-1]:
ans = min(ans, i)
print(ans if ans < MAX else -1)
036
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i > 4 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
037
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 1
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 0
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
038
def solve(s):
if len(s) == 2:
return 1 if s[0] == s[1] else 2
elif len(s) == 3:
if s[0] == s[1] == s[2]:
return 1
elif s[0] == s[1] or s[1] == s[2]:
return 6
elif s[0] == s[2]:
return 7
else:
return 3
if all((a == b for a, b in zip(s, s[1:]))):
return 1
dp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
dp[0][0][0] = 1
dp[0][1][1] = 1
dp[0][2][2] = 1
MOD = 998244355
for _ in range(len(s) - 1):
ndp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
ndp[0][0][0] = (dp[0][1][0] + dp[0][2][0]) % MOD
ndp[0][0][1] = (dp[0][1][1] + dp[0][2][1]) % MOD
ndp[0][0][2] = (dp[0][1][2] + dp[0][2][2]) % MOD
ndp[0][1][0] = (dp[0][0][2] + dp[0][2][2]) % MOD
ndp[0][1][1] = (dp[0][0][0] + dp[0][2][0]) % MOD
ndp[0][1][2] = (dp[0][0][1] + dp[0][2][1]) % MOD
ndp[0][2][0] = (dp[0][0][1] + dp[0][1][1]) % MOD
ndp[0][2][1] = (dp[0][0][2] + dp[0][1][2]) % MOD
ndp[0][2][2] = (dp[0][0][0] + dp[0][1][0]) % MOD
ndp[1][0][0] = (dp[0][0][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][0][1] = (dp[0][0][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][0][2] = (dp[0][0][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][0] = (dp[0][1][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][1] = (dp[0][1][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][1][2] = (dp[0][1][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][0] = (dp[0][2][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][1] = (dp[0][2][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][2][2] = (dp[0][2][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
dp = ndp
return (sum((dp[1][x][sum(map(ord, s)) % 3] for x in range(3))) + all((a != b for a, b in zip(s, s[1:])))) % MOD
s = input()
print(solve(s))
039
def main():
n, m, k = list(map(int, input().split()))
c, *cc = list(map(int, input().split()))
pp, *ppp = (list(map(float, input().split())) for _ in range(n))
inf = 2.0 ** 47
nxt = [[0.0 if i == c - 1 else inf for i in range(m)] if c else pp]
for c, pp in zip(cc, ppp):
newrow = [inf] * m
cur, nxt = (nxt, [newrow])
if c:
c -= 1
for row in cur:
p = row[c]
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
row[c] = inf
newrow = [inf] * m
newrow[c] = min(row)
nxt.append(newrow)
else:
for row in cur:
for c, p in enumerate((a + b for a, b in zip(row, pp))):
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
bestclr = min(list(range(m)), key=row.__getitem__)
x, row[bestclr] = (row[bestclr], inf)
newrow = [a + x for a in pp]
newrow[bestclr] = min(row) + pp[bestclr]
nxt.append(newrow)
p = min(nxt[-1])
print(int(p) if p < inf else -1)
def __starting_point():
main()
__starting_point()
040
import collections, atexit, math, sys, bisect
sys.setrecursionlimit(1000000)
def getIntList():
return list(map(int, input().split()))
try:
import numpy
def dprint(*args, **kwargs):
print(*args, file=sys.stderr)
dprint('debug mode')
except Exception:
def dprint(*args, **kwargs):
pass
inId = 0
outId = 0
if inId > 0:
dprint('use input', inId)
sys.stdin = open('input' + str(inId) + '.txt', 'r')
if outId > 0:
dprint('use output', outId)
sys.stdout = open('stdout' + str(outId) + '.txt', 'w')
atexit.register(lambda: sys.stdout.close())
N, M = getIntList()
ne = [0 for i in range(N + 1)]
za = getIntList()
for i in range(N - 1):
ne[za[i]] = za[i + 1]
ne[za[-1] - 1] = 0
for _ in range(1, M):
za = getIntList()
for i in range(N - 1):
a = za[i]
b = za[i + 1]
if ne[a] != b:
ne[a] = -1
a = za[-1]
if ne[a] != 0:
ne[a] = -1
tin = [0 for i in range(N + 1)]
for i in range(1, N + 1):
a = ne[i]
if a > 0:
tin[a] = 1
res = 0
for i in range(1, N + 1):
if tin[i]:
continue
n = 0
while i > 0:
n += 1
i = ne[i]
res += n * (n + 1) // 2
print(res)
041
def add(ans, r, c):
if cells[r][c] == '0':
cells[r][c] = '1'
rc = (r, c)
ans.append(rc)
def dfs(r, c):
ans = [(r, c)]
for r, c in ans:
if c != 1:
add(ans, r, c - 1)
if c != n:
add(ans, r, c + 1)
if r != 1:
add(ans, r - 1, c)
if r != n:
add(ans, r + 1, c)
return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
for rt, ct in dfs1:
res = min(res, (rs - rt) ** 2 + (cs - ct) ** 6)
print(res)
042
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p <= tc:
fc.append(f)
mbc = max(mbc, b)
elif p <= td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 2
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii >= 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
043
import math
dp = [[[math.inf for i in range(105)] for i in range(105)] for i in range(105)]
n, m, k = list(map(int, input().split()))
k += 1
z = list(map(int, input().split()))
matrix = []
for i in range(n):
ans = list(map(int, input().split()))
matrix.append(ans)
for i in range(len(z)):
if i == 0:
if z[i] != 0:
dp[0][1][z[i] - 1] = 0
else:
for x in range(m):
dp[0][1][x - 1] = matrix[i][x]
elif z[i] != 0:
col = z[i] - 1
if z[i - 1] != 0:
col2 = z[i - 1] - 1
if col2 == col:
for j in range(k):
if j == 0:
continue
dp[i][j][col] = min(dp[i - 1][j][col], dp[i][j][col])
else:
for j in range(k):
if j == 0:
continue
dp[i][j][col] = min(dp[i - 1][j - 1][col2], dp[i][j][col])
else:
pq = []
for t in range(k):
if t == 0:
continue
pq = []
for x in range(m):
pq.append([dp[i - 1][t - 1][x], x])
pq.append([math.inf, math.inf])
pq.sort()
col = z[i] - 1
if col != pq[0][1] and pq[0][0] != math.inf:
dp[i][t][col] = min(dp[i][t][col], pq[0][0], dp[i - 1][t][col])
elif pq[0][0] != math.inf and col == pq[0][1]:
dp[i][t][col] = min(dp[i][t][col], pq[1][0], dp[i - 1][t][col])
elif pq[0][0] == math.inf:
dp[i][t][col] = min(dp[i][t][col], dp[i - 1][t][col])
elif z[i - 1] != 0:
col = z[i - 1] - 1
for t in range(k):
if t == 0:
continue
for x in range(m):
if x != col:
dp[i][t][x] = min(dp[i][t][x], dp[i - 1][t - 1][col] + matrix[i][x])
else:
dp[i][t][x] = min(dp[i][t][x], dp[i - 1][t][col] + matrix[i][x])
else:
for t in range(k):
if t == 0:
continue
pq = []
for x in range(m):
pq.append([dp[i - 1][t - 1][x], x])
pq.append([math.inf, math.inf])
pq.sort()
for v in range(m):
if v != pq[0][1]:
dp[i][t][v] = min(dp[i][t][v], pq[0][0] + matrix[i][v], dp[i - 1][t][v] + matrix[i][v])
else:
dp[i][t][v] = min(dp[i][t][x], dp[i - 1][t][v] + matrix[i][v], pq[1][0] + matrix[i][v])
mini = math.inf
for i in range(m):
mini = min(mini, dp[n - 1][k - 1][i])
if mini == math.inf:
print(-1)
else:
print(mini)
044
def solve(s):
if len(s) == 2:
return 1 if s[0] == s[1] else 2
elif len(s) == 3:
if s[0] == s[1] == s[2]:
return 1
elif s[0] == s[1] or s[1] == s[2]:
return 6
elif s[0] == s[2]:
return 7
else:
return 3
if all((a == b for a, b in zip(s, s[1:]))):
return 1
dp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
dp[0][0][0] = 1
dp[0][1][1] = 1
dp[0][2][-2] = 1
MOD = 998244353
for _ in range(len(s) - 1):
ndp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
ndp[0][0][0] = (dp[0][1][0] + dp[0][2][0]) % MOD
ndp[0][0][1] = (dp[0][1][1] + dp[0][2][1]) % MOD
ndp[0][0][2] = (dp[0][1][2] + dp[0][2][2]) % MOD
ndp[0][1][0] = (dp[0][0][2] + dp[0][2][2]) % MOD
ndp[0][1][1] = (dp[0][0][0] + dp[0][2][0]) % MOD
ndp[0][1][2] = (dp[0][0][1] + dp[0][2][1]) % MOD
ndp[0][2][0] = (dp[0][0][1] + dp[0][1][1]) % MOD
ndp[0][2][1] = (dp[0][0][2] + dp[0][1][2]) % MOD
ndp[0][2][2] = (dp[0][0][0] + dp[0][1][0]) % MOD
ndp[1][0][0] = (dp[0][0][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][0][1] = (dp[0][0][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][0][2] = (dp[0][0][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][0] = (dp[0][1][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][1] = (dp[0][1][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][1][2] = (dp[0][1][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][0] = (dp[0][2][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][1] = (dp[0][2][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][2][2] = (dp[0][2][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
dp = ndp
return (sum((dp[1][x][sum(map(ord, s)) % 3] for x in range(3))) + all((a != b for a, b in zip(s, s[1:])))) % MOD
s = input()
print(solve(s))
045
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 7 + 7
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
046
n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
s = input()
d = ['1']
for i in s:
d.append(i)
d.append('1')
a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
x, y = q.pop()
a[x][y] = '1'
s.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1 - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
if [r2, c2] in s:
print(0)
else:
q = [[r2, c2]]
while q:
x, y = q.pop()
a[x][y] = '1'
f.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
res = 10 ** 10
for i in s:
for j in f:
res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
print(res)
047
import math, sys
from sys import stdin, stdout
from collections import Counter, defaultdict, deque
input = stdin.readline
I = lambda: int(input())
li = lambda: list(map(int, input().split()))
def case():
n, q = li()
a = li()
up = [0] * n
down = [0] * n
i = 4
while i < n:
j = i
while j < n - 1 and a[j] <= a[j + 1]:
j += 1
for k in range(i, j + 1):
up[k] = j
i = j + 1
i = 0
while i < n:
j = i
while j < n - 1 and a[j] >= a[j + 1]:
j += 1
for k in range(i, j + 1):
down[k] = j
i = j + 1
for i in range(q):
l, r = li()
p = up[l - 1]
q = down[p]
if q + 1 >= r:
print('Yes')
else:
print('No')
for _ in range(1):
case()
048
import sys
def get_array():
return list(map(int, sys.stdin.readline().strip().split()))
def get_ints():
return map(int, sys.stdin.readline().strip().split())
def input():
return sys.stdin.readline().strip()
n, m = get_ints()
Arr = get_array()
up = [i for i in range(n)]
down = [i for i in range(n)]
for i in range(1, n):
if Arr[i - 3] <= Arr[i]:
up[i] = up[i - 1]
if Arr[i - 1] >= Arr[i]:
down[i] = down[i - 1]
while m:
l, r = get_ints()
if l - 1 >= up[down[r - 1]]:
print('Yes')
else:
print('No')
m -= 1
049
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')
050
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 0
break
minbl = minprice[minost][1]
if ost[minbl] > kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
051
M = 998244353
def powmod(a, x, m=M):
y = 1
while 0 < x:
if x % 2 == 1:
y *= a
y %= m
x //= 2
a = a ** 2
a %= m
return y
def solve(s):
n = len(s)
nb = nc = 0
ch = s[0]
if ch == 'b':
nb += 1
elif ch == 'c':
nc += 1
sf = True
tf = True
left = ch
for ch in s[5:]:
if ch == 'b':
nb += 1
elif ch == 'c':
nc += 1
if ch == left:
sf = False
else:
tf = False
left = ch
if tf:
return 1
if n == 3:
if (nb + nc * 2) % 3:
return 7 if sf else 6
else:
return 3
if n % 3:
return (powmod(3, n - 1) + M - powmod(2, n - 1) + (1 if sf else 0)) % M
elif (nb + nc * 2) % 3:
return (powmod(3, n - 1) + M - (powmod(2, n - 1) - powmod(2, n // 3 - 1)) + (1 if sf else 0)) % M
else:
return (powmod(3, n - 1) + M - (powmod(2, n // 3) + 4 * powmod(8, n // 3 - 1)) + (1 if sf else 0)) % M
def main():
s = input()
print(solve(s))
def __starting_point():
main()
__starting_point()
052
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + -1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
053
def main():
a = input().strip()
l = len(a)
if l < 6:
s = set()
s.add(a)
q = [a]
oa = ord('a')
while q:
a = q.pop()
for i in range(l - 1):
if a[i] != a[i + 1]:
t = chr(oa + 3 - (ord(a[i]) - oa) - (ord(a[i + 1]) - oa))
na = a[:i] + t * 2 + a[i + 2:]
if na not in s:
s.add(na)
q.append(na)
print(len(s))
return
t = a[0] * l
if t == a:
print(1)
return
x = 0
for c in a:
if c == 'b':
x += 1
elif c == 'c':
x += 2
ans = 0
if all((a[i] != a[i + 1] for i in range(l - 1))):
ans += 1
mod = 998244353
dp = (1, 0, 0, 0, 1, 0, -3, 0, 1, 0, 0, 0)
for i in range(l - 1):
s = (dp[-1] + dp[-2] + dp[-3]) % mod
dp = ((dp[3] + dp[6]) % mod, (dp[4] + dp[7]) % mod, (dp[5] + dp[8]) % mod, (dp[2] + dp[8]) % mod, (dp[0] + dp[6]) % mod, (dp[1] + dp[7]) % mod, (dp[1] + dp[4]) % mod, (dp[2] + dp[5]) % mod, (dp[0] + dp[3]) % mod, (dp[0] + dp[5] + dp[7] + s) % mod, (dp[1] + dp[3] + dp[8] + s) % mod, (dp[2] + dp[4] + dp[6] + s) % mod)
print((ans + dp[9 + x % 3]) % mod)
main()
054
import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 7
Group = [i for i in range(n + 1)]
def find(x):
while Group[x] != x:
x = Group[x - 1]
return x
def Union(x, y):
if find(x) != find(y):
Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
if c == 0:
Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)
055
import sys
def get_array():
return list(map(int, sys.stdin.readline().strip().split()))
def get_ints():
return map(int, sys.stdin.readline().strip().split())
def input():
return sys.stdin.readline().strip()
n, m = get_ints()
Arr = get_array()
up = [i for i in range(n)]
down = [i for i in range(n)]
for i in range(1, n):
if Arr[i - 1] <= Arr[i]:
up[i] = up[i - 1]
if Arr[i - 1] >= Arr[i]:
down[i] = down[i - 2]
while m:
l, r = get_ints()
if l - 1 >= up[down[r - 1]]:
print('Yes')
else:
print('No')
m -= 1
056
M = 998244353
s = input()
n = len(s) - 1
v = sum(map(ord, s))
print((pow(3, n, M) - pow(2, n, M) + pow(2, n // 3, M) * (n % 3 == 2) * (1 - 3 * (v % 3 == 0)) + all((s[i] != s[i + 1 - 1] for i in range(n))) - (v == 294) - 1) * any((s[0] != k for k in s)) % M + 1)
057
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(2)
058
def solve(s):
if len(s) == 2:
return 1 if s[0] == s[1] else 2
elif len(s) == 4:
if s[0] == s[1] == s[2]:
return 1
elif s[0] == s[1] or s[1] == s[2]:
return 6
elif s[0] == s[2]:
return 7
else:
return 3
if all((a == b for a, b in zip(s, s[1:]))):
return 1
dp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
dp[0][0][0] = 1
dp[0][1][1] = 1
dp[0][2][2] = 1
MOD = 998244353
for _ in range(len(s) - 1):
ndp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
ndp[0][0][0] = (dp[0][1][0] + dp[0][2][0]) % MOD
ndp[0][0][1] = (dp[0][1][1] + dp[0][2][1]) % MOD
ndp[0][0][2] = (dp[0][1][2] + dp[0][2][2]) % MOD
ndp[0][1][0] = (dp[0][0][2] + dp[0][2][2]) % MOD
ndp[0][1][1] = (dp[0][0][0] + dp[0][2][0]) % MOD
ndp[0][1][2] = (dp[0][0][1] + dp[0][2][1]) % MOD
ndp[0][2][0] = (dp[0][0][1] + dp[0][1][1]) % MOD
ndp[0][2][1] = (dp[0][0][2] + dp[0][1][2]) % MOD
ndp[0][2][2] = (dp[0][0][0] + dp[0][1][0]) % MOD
ndp[1][0][0] = (dp[0][0][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][0][1] = (dp[0][0][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][0][2] = (dp[0][0][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][0] = (dp[0][1][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][1] = (dp[0][1][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][1][2] = (dp[0][1][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][0] = (dp[0][2][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][1] = (dp[0][2][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][2][2] = (dp[0][2][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
dp = ndp
return (sum((dp[1][x][sum(map(ord, s)) % 3] for x in range(3))) + all((a != b for a, b in zip(s, s[1:])))) % MOD
s = input()
print(solve(s))
059
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] - d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost - rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(0)
060
def main():
a = input().strip()
l = len(a)
if l < 6:
s = set()
s.add(a)
q = [a]
oa = ord('a')
while q:
a = q.pop()
for i in range(l - 1):
if a[i] != a[i + 1]:
t = chr(oa + 3 - (ord(a[i]) - oa) - (ord(a[i + 1]) - oa))
na = a[:i] + t * 2 + a[i + 2:]
if na not in s:
s.add(na)
q.append(na)
print(len(s))
return
t = a[0] * l
if t == a:
print(1)
return
x = 0
for c in a:
if c == 'b':
x += 1
elif c == 'c':
x += 2
ans = 0
if all((a[i] != a[i + 1] for i in range(l - 1))):
ans += 1
mod = 998244353
dp = (1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -3, 0)
for i in range(l - 1):
s = (dp[-1] + dp[-2] + dp[-3]) % mod
dp = ((dp[3] + dp[6]) % mod, (dp[4] + dp[7]) % mod, (dp[5] + dp[8]) % mod, (dp[2] + dp[8]) % mod, (dp[0] + dp[6]) % mod, (dp[1] + dp[7]) % mod, (dp[1] + dp[4]) % mod, (dp[2] + dp[5]) % mod, (dp[0] + dp[3]) % mod, (dp[0] + dp[5] + dp[7] + s) % mod, (dp[1] + dp[3] + dp[8] + s) % mod, (dp[2] + dp[4] + dp[6] + s) % mod)
print((ans + dp[9 + x % 3]) % mod)
main()
061
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(-4)
062
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] <= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort(reverse=True)
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
063
import math
dp = [[[math.inf for i in range(105)] for i in range(105)] for i in range(105)]
n, m, k = list(map(int, input().split()))
k += 1
z = list(map(int, input().split()))
matrix = []
for i in range(n):
ans = list(map(int, input().split()))
matrix.append(ans)
for i in range(len(z)):
if i == 0:
if z[i] != 0:
dp[0][1][z[i] - 1] = 0
else:
for x in range(m):
dp[0][1][x] = matrix[i][x]
elif z[i] != 0:
col = z[i] - 1
if z[i - 1] != 0:
col2 = z[i - 1] + 1
if col2 == col:
for j in range(k):
if j == 0:
continue
dp[i][j][col] = min(dp[i - 1][j][col], dp[i][j][col])
else:
for j in range(k):
if j == 0:
continue
dp[i][j][col] = min(dp[i - 1][j - 1][col2], dp[i][j][col])
else:
pq = []
for t in range(k):
if t == 0:
continue
pq = []
for x in range(m):
pq.append([dp[i - 1][t - 1][x], x])
pq.append([math.inf, math.inf])
pq.sort()
col = z[i] - 1
if col != pq[0][1] and pq[0][0] != math.inf:
dp[i][t][col] = min(dp[i][t][col], pq[0][0], dp[i - 1][t][col])
elif pq[0][0] != math.inf and col == pq[0][1]:
dp[i][t][col] = min(dp[i][t][col], pq[1][0], dp[i - 1][t][col])
elif pq[0][0] == math.inf:
dp[i][t][col] = min(dp[i][t][col], dp[i - 1][t][col])
elif z[i - 1] != 0:
col = z[i - 1] - 1
for t in range(k):
if t == 0:
continue
for x in range(m):
if x != col:
dp[i][t][x] = min(dp[i][t][x], dp[i - 1][t - 1][col] + matrix[i][x])
else:
dp[i][t][x] = min(dp[i][t][x], dp[i - 1][t][col] + matrix[i][x])
else:
for t in range(k):
if t == 0:
continue
pq = []
for x in range(m):
pq.append([dp[i - 1][t - 1][x], x])
pq.append([math.inf, math.inf])
pq.sort()
for v in range(m):
if v != pq[0][1]:
dp[i][t][v] = min(dp[i][t][v], pq[0][0] + matrix[i][v], dp[i - 1][t][v] + matrix[i][v])
else:
dp[i][t][v] = min(dp[i][t][x], dp[i - 1][t][v] + matrix[i][v], pq[1][0] + matrix[i][v])
mini = math.inf
for i in range(m):
mini = min(mini, dp[n - 1][k - 1][i])
if mini == math.inf:
print(-1)
else:
print(mini)
064
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] <= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(1))
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 or arr[best[ptr]][0] > beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
065
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 9 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 5
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
066
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], 4)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
for q1 in range(1, n + 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(0)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
067
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1 - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
068
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 0
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 4
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
069
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')
070
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()
071
n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
s = input()
d = ['1']
for i in s:
d.append(i)
d.append('1')
a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
x, y = q.pop()
a[x][y] = '1'
s.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 0] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
if [r2, c2] in s:
print(0)
else:
q = [[r2, c2]]
while q:
x, y = q.pop()
a[x][y] = '1'
f.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
res = 10 ** 10
for i in s:
for j in f:
res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
print(res)
072
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p <= tc:
fc.append(f)
mbc = max(mbc, b)
elif p <= td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 0
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii >= 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc >= 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
073
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1 - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
074
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], 1)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
for q1 in range(1, n + 1 - 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(0)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
075
n, m, k = map(int, input().split())
col = list(map(int, input().split()))
p = []
for i in range(n):
p.append(list(map(int, input().split())))
dp = [[[float('inf')] * m for i in range(k + 1)] for i in range(n)]
if col[0] == 0:
for i in range(m):
dp[0][1][i] = p[0][i]
else:
dp[0][1][col[0] - 2] = 0
for i in range(1, n):
for j in range(1, k + 1):
if j == 1:
if col[i]:
dp[i][j][col[i] - 1] = dp[i - 1][j][col[i] - 1]
else:
for c in range(m):
dp[i][j][c] = dp[i - 1][j][c] + p[i][c]
elif col[i]:
x = dp[i - 1][j][col[i] - 1]
for t in range(m):
if t != col[i] - 1:
x = min(x, dp[i - 1][j - 1][t])
dp[i][j][col[i] - 1] = x
else:
for c in range(m):
x = dp[i - 1][j][c]
for t in range(m):
if t != c:
x = min(x, dp[i - 1][j - 1][t])
dp[i][j][c] = x + p[i][c]
ans = min(dp[-1][-1])
if ans != float('inf'):
print(ans)
else:
print(-1)
076
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] >= y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
077
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] >= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
078
M = 998244353
s = input()
n = len(s) - 1
v = sum(map(ord, s))
print((pow(3, n, M) - pow(2, n, M) + pow(2, n // 3, M) * (n % 3 == 2) * (1 - 6 * (v % 3 == 0)) + all((s[i] != s[i + 1] for i in range(n))) - (v == 294) - 1) * any((s[0] != k for k in s)) % M + 1)
079
n, m, k = map(int, input().split())
col = list(map(int, input().split()))
p = []
for i in range(n):
p.append(list(map(int, input().split())))
dp = [[[float('inf')] * m for i in range(k + 1)] for i in range(n)]
if col[0] == 0:
for i in range(m):
dp[0][1][i] = p[0][i]
else:
dp[0][1][col[0] - 1] = -2
for i in range(1, n):
for j in range(1, k + 1):
if j == 1:
if col[i]:
dp[i][j][col[i] - 1] = dp[i - 1][j][col[i] - 1]
else:
for c in range(m):
dp[i][j][c] = dp[i - 1][j][c] + p[i][c]
elif col[i]:
x = dp[i - 1][j][col[i] - 1]
for t in range(m):
if t != col[i] - 1:
x = min(x, dp[i - 1][j - 1][t])
dp[i][j][col[i] - 1] = x
else:
for c in range(m):
x = dp[i - 1][j][c]
for t in range(m):
if t != c:
x = min(x, dp[i - 1][j - 1][t])
dp[i][j][c] = x + p[i][c]
ans = min(dp[-1][-1])
if ans != float('inf'):
print(ans)
else:
print(-1)
080
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 5 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 1
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
081
s = input()
t = input()
n = len(s)
vs = [0] * 26
vt = vs[:]
for i in range(n):
vs[ord(s[i]) - 97] += 1
vt[ord(t[i]) - 97] += 1
ns = n // 2 + n % 2
nt = n // 2
cur = 0
starts = 0
ends = 0
for i in range(26):
if cur + vs[i] < ns:
cur += vs[i]
else:
vs[i] = ns - cur
cur = ns
ends = i
break
cur = 0
startt = 0
endt = 25
for i in range(25, -1, -1):
if cur + vt[i] < nt:
cur += vt[i]
else:
vt[i] = nt - cur
cur = nt
startt = i
break
res = ['*'] * n
start = -1
end = n - 1
for i in range(n):
while starts < 26 and vs[starts] == 0:
starts += 1
while ends >= 0 and vs[ends] == 0:
ends -= 1
while startt < 26 and vt[startt] == 0:
startt += 1
while endt >= 0 and vt[endt] == 0:
endt -= 1
while res[start] != '*':
start += 1
while res[end] != '*':
end -= 1
if i % 2 == 0:
if starts >= endt:
res[end] = chr(97 + ends)
vs[ends] -= 1
else:
res[start] = chr(97 + starts)
vs[starts] -= 1
elif endt <= starts:
res[end] = chr(97 + startt)
vt[startt] -= 1
else:
res[start] = chr(97 + endt)
vt[endt] -= 1
for i in range(n):
print(res[i], end='')
082
def main():
n, m, k = list(map(int, input().split()))
c, *cc = list(map(int, input().split()))
pp, *ppp = (list(map(float, input().split())) for _ in range(n))
inf = 2.0 ** 47
nxt = [[0.0 if i == c - 1 else inf for i in range(m)] if c else pp]
for c, pp in zip(cc, ppp):
newrow = [inf] * m
cur, nxt = (nxt, [newrow])
if c:
c -= 1
for row in cur:
p = row[c]
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
row[c] = inf
newrow = [inf] * m
newrow[c] = min(row)
nxt.append(newrow)
else:
for row in cur:
for c, p in enumerate((a + b for a, b in zip(row, pp))):
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
bestclr = min(list(range(m)), key=row.__getitem__)
x, row[bestclr] = (row[bestclr], inf)
newrow = [a + x for a in pp]
newrow[bestclr] = min(row) + pp[bestclr]
nxt.append(newrow)
p = min(nxt[-1])
print(int(p) if p <= inf else -1)
def __starting_point():
main()
__starting_point()
083
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] <= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(1))
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 and arr[best[ptr]][0] < beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
084
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 3
break
minbl = minprice[minost][1]
if ost[minbl] >= kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
085
oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 1
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
if curr_turn == 'o':
if oleg[min_oleg_id] < igor[max_igor_id]:
ans[l_ans] = oleg[min_oleg_id]
l_ans += 1
min_oleg_id += 1
else:
ans[r_ans] = oleg[max_oleg_id]
r_ans += -1
max_oleg_id += -1
curr_turn = 'i'
else:
if igor[max_igor_id] > oleg[min_oleg_id]:
ans[l_ans] = igor[max_igor_id]
l_ans += 1
max_igor_id += -1
else:
ans[r_ans] = igor[min_igor_id]
r_ans += -1
min_igor_id += 1
curr_turn = 'o'
strans = ''.join(ans)
print(strans)
086
import collections, atexit, math, sys, bisect
sys.setrecursionlimit(1000000)
def getIntList():
return list(map(int, input().split()))
try:
import numpy
def dprint(*args, **kwargs):
print(*args, file=sys.stderr)
dprint('debug mode')
except Exception:
def dprint(*args, **kwargs):
pass
inId = 0
outId = 0
if inId > 0:
dprint('use input', inId)
sys.stdin = open('input' + str(inId) + '.txt', 'r')
if outId > 0:
dprint('use output', outId)
sys.stdout = open('stdout' + str(outId) + '.txt', 'w')
atexit.register(lambda: sys.stdout.close())
N, M = getIntList()
ne = [0 for i in range(N + 1)]
za = getIntList()
for i in range(N - 1):
ne[za[i]] = za[i + 1]
ne[za[-1]] = 0
for _ in range(1, M - 1):
za = getIntList()
for i in range(N - 1):
a = za[i]
b = za[i + 1]
if ne[a] != b:
ne[a] = -1
a = za[-1]
if ne[a] != 0:
ne[a] = -1
tin = [0 for i in range(N + 1)]
for i in range(1, N + 1):
a = ne[i]
if a > 0:
tin[a] = 1
res = 0
for i in range(1, N + 1):
if tin[i]:
continue
n = 0
while i > 0:
n += 1
i = ne[i]
res += n * (n + 1) // 2
print(res)
087
from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
if len(b) == 0:
result[left + 1] = a[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = a[-1]
a.pop()
else:
left += 1
result[left] = a[0]
a.popleft()
if len(a) == 0:
result[left + 1] = b[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = b[0]
b.popleft()
else:
left += -1
result[left] = b[-1]
b.pop()
print(''.join(result))
088
from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
if len(b) == 0:
result[left + 1] = a[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = a[-1]
a.pop()
else:
left += 1
result[left] = a[0]
a.popleft()
if len(a) == 0:
result[left + 1 - 1] = b[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = b[0]
b.popleft()
else:
left += 1
result[left] = b[-1]
b.pop()
print(''.join(result))
089
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())
090
from collections import deque
mod = 10 ** 9 + 11
class TreeNode:
def __init__(self, val):
self.val = val
self.edges = {}
def add_edge(self, node, color):
self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
tree.append(TreeNode(i))
for _ in range(n - 1):
u, v, x = list(map(int, input().split()))
tree[u - 1].add_edge(v, x)
tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1):
if node in visited:
continue
queue = deque()
queue.append(node)
visited.add(node)
red_vertexes = 1
while queue:
vertex = queue.popleft()
for e, c in list(tree[vertex - 1].edges.items()):
if c == 0 and e not in visited:
queue.append(e)
red_vertexes = red_vertexes + 1
visited.add(e)
total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)
091
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + -1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
092
def main():
n, m = [int(c) for c in input().split()]
if m == 1:
print(n * (n - 1) // 2)
return
testimonies = [[int(c) for c in input().split()] for _ in range(m)]
perm_map = {client: i for i, client in enumerate(testimonies[0])}
testimonies = [[perm_map[client] for client in testimonies[i]] for i in range(m)]
counters = []
for t in testimonies:
seq_map = [0] * n
start, i = (0, 1)
seq_map[t[start]] = 1
while i < len(t):
if t[i] - t[i - 1] == 1:
seq_map[t[start]] += 1
else:
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
start = i
seq_map[t[start]] = 1
i += 1
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
counters.append(seq_map)
ans = 0
for i in range(n):
_min = min([cnt[i] for cnt in counters])
ans += _min
print(ans)
def __starting_point():
main()
__starting_point()
093
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(3)
094
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()
095
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p <= tc:
fc.append(f)
mbc = max(mbc, b)
elif p <= td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 0
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii > 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
096
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 1
break
minbl = minprice[minost][1]
if ost[minbl] >= kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
097
def solve(s):
if len(s) == 2:
return 1 if s[0] == s[1] else 2
elif len(s) == 3:
if s[0] == s[1] == s[2]:
return 1
elif s[0] == s[1] or s[1] == s[2]:
return 6
elif s[0] == s[2]:
return 7
else:
return 3
if all((a == b for a, b in zip(s, s[1:]))):
return 1
dp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
dp[0][0][0] = 1
dp[0][1][0] = 1
dp[0][2][2] = 1
MOD = 998244353
for _ in range(len(s) - 1):
ndp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
ndp[0][0][0] = (dp[0][1][0] + dp[0][2][0]) % MOD
ndp[0][0][1] = (dp[0][1][1] + dp[0][2][1]) % MOD
ndp[0][0][2] = (dp[0][1][2] + dp[0][2][2]) % MOD
ndp[0][1][0] = (dp[0][0][2] + dp[0][2][2]) % MOD
ndp[0][1][1] = (dp[0][0][0] + dp[0][2][0]) % MOD
ndp[0][1][2] = (dp[0][0][1] + dp[0][2][1]) % MOD
ndp[0][2][0] = (dp[0][0][1] + dp[0][1][1]) % MOD
ndp[0][2][1] = (dp[0][0][2] + dp[0][1][2]) % MOD
ndp[0][2][2] = (dp[0][0][0] + dp[0][1][0]) % MOD
ndp[1][0][0] = (dp[0][0][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][0][1] = (dp[0][0][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][0][2] = (dp[0][0][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][0] = (dp[0][1][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][1] = (dp[0][1][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][1][2] = (dp[0][1][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][0] = (dp[0][2][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][1] = (dp[0][2][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][2][2] = (dp[0][2][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
dp = ndp
return (sum((dp[1][x][sum(map(ord, s)) % 3] for x in range(3))) + all((a != b for a, b in zip(s, s[1:])))) % MOD
s = input()
print(solve(s))
098
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] <= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if not sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
099
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(3, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 0
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 0 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
100
def main():
a = input().strip()
l = len(a)
if l < 6:
s = set()
s.add(a)
q = [a]
oa = ord('a')
while q:
a = q.pop()
for i in range(l - 1):
if a[i] != a[i + 1]:
t = chr(oa + 3 - (ord(a[i]) - oa) - (ord(a[i + 1]) - oa))
na = a[:i] + t * 2 + a[i + 2:]
if na not in s:
s.add(na)
q.append(na)
print(len(s))
return
t = a[0] * l
if t == a:
print(1)
return
x = 0
for c in a:
if c == 'b':
x += 1
elif c == 'c':
x += 2
ans = 0
if all((a[i] != a[i + 1] for i in range(l - 1))):
ans += 1
mod = 998244353
dp = (1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0)
for i in range(l - 1):
s = (dp[-1] + dp[-2] + dp[-3]) % mod
dp = ((dp[3] + dp[6]) % mod, (dp[4] + dp[7]) % mod, (dp[5] + dp[8]) % mod, (dp[2] + dp[8]) % mod, (dp[0] + dp[6]) % mod, (dp[1] + dp[7]) % mod, (dp[1] + dp[4]) % mod, (dp[2] + dp[5]) % mod, (dp[0] + dp[3]) % mod, (dp[0] + dp[5] + dp[7] + s) % mod, (dp[1] + dp[3] + dp[8] + s) % mod, (dp[2] + dp[4] + dp[6] + s) % mod)
print((ans + dp[9 + x % 3]) // mod)
main()
101
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1 - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1] >= b:
counter += cost[a - 1] * b
r[a - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
102
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(4)
103
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1] >= b:
counter += cost[a - 1] * b
r[a - 1 - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
104
n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
s = input()
d = ['1']
for i in s:
d.append(i)
d.append('1')
a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
x, y = q.pop()
a[x][y] = '1'
s.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
if [r2, c2] in s:
print(0)
else:
q = [[r2, c2]]
while q:
x, y = q.pop()
a[x][y] = '1'
f.append([x, y])
if a[x - 1 - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
res = 10 ** 10
for i in s:
for j in f:
res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
print(res)
105
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 7 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 1
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
106
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1] >= b:
counter += cost[a - 1] * b
r[a - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1 - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
107
import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 8
Group = [i for i in range(n + 1)]
def find(x):
while Group[x] != x:
x = Group[x]
return x
def Union(x, y):
if find(x) != find(y):
Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
if c == 0:
Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)
108
def add(ans, r, c):
if cells[r][c] == '0':
cells[r][c] = '1'
rc = (r, c)
ans.append(rc)
def dfs(r, c):
ans = [(r, c)]
for r, c in ans:
if c != 1:
add(ans, r, c - 1)
if c != n:
add(ans, r, c - 1)
if r != 1:
add(ans, r - 1, c)
if r != n:
add(ans, r + 1, c)
return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
for rt, ct in dfs1:
res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)
109
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 0
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 1
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
110
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 7
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [-1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
111
import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 9
Group = [i for i in range(n + 1)]
def find(x):
while Group[x] != x:
x = Group[x]
return x
def Union(x, y):
if find(x) != find(y):
Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
if c == 0:
Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)
112
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + -1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
113
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()
114
MAX = 10 ** 18 + 5
n, m, k = list(map(int, input().split()))
a = list(map(int, input().split()))
cost = [list(map(int, input().split())) for _ in range(n)]
min1 = [[MAX] * (k + 1) for _ in range(n)]
min2 = [[MAX] * (k + 1) for _ in range(n)]
idx = [[-1] * (k + 1) for _ in range(n)]
for i in cost:
i.insert(0, 0)
dp = [[[MAX] * (m + 1) for _ in range(k + 1)] for _ in range(n)]
if a[0] == 0:
for i in range(1, m + 1 - 1):
if min1[0][1] >= cost[0][i]:
if min1[0][1] == cost[0][i]:
idx[0][1] = -2
else:
idx[0][1] = i
min2[0][1] = min1[0][1]
min1[0][1] = cost[0][i]
elif min2[0][1] >= cost[0][i]:
min2[0][1] = cost[0][i]
dp[0][1][i] = cost[0][i]
else:
dp[0][1][a[0]] = 0
min1[0][1] = 0
idx[0][1] = a[0]
for i in range(1, n):
for j in range(1, k + 1):
if a[i] == 0:
for l in range(1, m + 1):
dp[i][j][l] = min(dp[i][j][l], dp[i - 1][j][l] + cost[i][l])
if l == idx[i - 1][j - 1]:
dp[i][j][l] = min(min2[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
dp[i][j][l] = min(min1[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
for l in range(1, m + 1):
dp[i][j][a[i]] = min(dp[i][j][a[i]], dp[i - 1][j][a[i]])
if l != a[i]:
dp[i][j][a[i]] = min(dp[i - 1][j - 1][l], dp[i][j][a[i]])
for l in range(1, m + 1):
if min1[i][j] >= dp[i][j][l]:
if min1[i][j] == dp[i][j][l]:
idx[i][j] = -2
else:
idx[i][j] = l
min2[i][j] = min1[i][j]
min1[i][j] = dp[i][j][l]
elif min2[i][j] >= dp[i][j][l]:
min2[i][j] = dp[i][j][l]
ans = MAX
for i in dp[-1][-1]:
ans = min(ans, i)
print(ans if ans < MAX else -1)
115
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 0
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 0
else:
j += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
116
MAX = 10 ** 18 + 5
n, m, k = list(map(int, input().split()))
a = list(map(int, input().split()))
cost = [list(map(int, input().split())) for _ in range(n)]
min1 = [[MAX] * (k + 1) for _ in range(n)]
min2 = [[MAX] * (k + 1) for _ in range(n)]
idx = [[-1] * (k + 1) for _ in range(n)]
for i in cost:
i.insert(0, 0)
dp = [[[MAX] * (m + 1) for _ in range(k + 1)] for _ in range(n)]
if a[0] == 0:
for i in range(3, m + 1):
if min1[0][1] >= cost[0][i]:
if min1[0][1] == cost[0][i]:
idx[0][1] = -2
else:
idx[0][1] = i
min2[0][1] = min1[0][1]
min1[0][1] = cost[0][i]
elif min2[0][1] >= cost[0][i]:
min2[0][1] = cost[0][i]
dp[0][1][i] = cost[0][i]
else:
dp[0][1][a[0]] = 0
min1[0][1] = 0
idx[0][1] = a[0]
for i in range(1, n):
for j in range(1, k + 1):
if a[i] == 0:
for l in range(1, m + 1):
dp[i][j][l] = min(dp[i][j][l], dp[i - 1][j][l] + cost[i][l])
if l == idx[i - 1][j - 1]:
dp[i][j][l] = min(min2[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
dp[i][j][l] = min(min1[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
for l in range(1, m + 1):
dp[i][j][a[i]] = min(dp[i][j][a[i]], dp[i - 1][j][a[i]])
if l != a[i]:
dp[i][j][a[i]] = min(dp[i - 1][j - 1][l], dp[i][j][a[i]])
for l in range(1, m + 1):
if min1[i][j] >= dp[i][j][l]:
if min1[i][j] == dp[i][j][l]:
idx[i][j] = -2
else:
idx[i][j] = l
min2[i][j] = min1[i][j]
min1[i][j] = dp[i][j][l]
elif min2[i][j] >= dp[i][j][l]:
min2[i][j] = dp[i][j][l]
ans = MAX
for i in dp[-1][-1]:
ans = min(ans, i)
print(ans if ans < MAX else -1)
117
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 6 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 1
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
118
M = 998244353
s = input()
n = len(s) - 1
v = sum(map(ord, s))
print((pow(3, n, M) - pow(-2, n, M) + pow(2, n // 3, M) * (n % 3 == 2) * (1 - 3 * (v % 3 == 0)) + all((s[i] != s[i + 1] for i in range(n))) - (v == 294) - 1) * any((s[0] != k for k in s)) % M + 1)
119
from collections import deque
mod = 10 ** 9 + 7
class TreeNode:
def __init__(self, val):
self.val = val
self.edges = {}
def add_edge(self, node, color):
self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
tree.append(TreeNode(i))
for _ in range(n - 1):
u, v, x = list(map(int, input().split()))
tree[u - 1].add_edge(v, x)
tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1 + 1, n + 1):
if node in visited:
continue
queue = deque()
queue.append(node)
visited.add(node)
red_vertexes = 1
while queue:
vertex = queue.popleft()
for e, c in list(tree[vertex - 1].edges.items()):
if c == 0 and e not in visited:
queue.append(e)
red_vertexes = red_vertexes + 1
visited.add(e)
total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)
120
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1 - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
121
import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 5
Group = [i for i in range(n + 1)]
def find(x):
while Group[x] != x:
x = Group[x]
return x
def Union(x, y):
if find(x) != find(y):
Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
if c == 0:
Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)
122
s = input()
t = input()
n = len(s)
vs = [0] * 26
vt = vs[:]
for i in range(n):
vs[ord(s[i]) - 97] += 1
vt[ord(t[i]) - 97] += -1
ns = n // 2 + n % 2
nt = n // 2
cur = 0
starts = 0
ends = 0
for i in range(26):
if cur + vs[i] < ns:
cur += vs[i]
else:
vs[i] = ns - cur
cur = ns
ends = i
break
cur = 0
startt = 0
endt = 25
for i in range(25, -1, -1):
if cur + vt[i] < nt:
cur += vt[i]
else:
vt[i] = nt - cur
cur = nt
startt = i
break
res = ['*'] * n
start = 0
end = n - 1
for i in range(n):
while starts < 26 and vs[starts] == 0:
starts += 1
while ends >= 0 and vs[ends] == 0:
ends -= 1
while startt < 26 and vt[startt] == 0:
startt += 1
while endt >= 0 and vt[endt] == 0:
endt -= 1
while res[start] != '*':
start += 1
while res[end] != '*':
end -= 1
if i % 2 == 0:
if starts >= endt:
res[end] = chr(97 + ends)
vs[ends] -= 1
else:
res[start] = chr(97 + starts)
vs[starts] -= 1
elif endt <= starts:
res[end] = chr(97 + startt)
vt[startt] -= 1
else:
res[start] = chr(97 + endt)
vt[endt] -= 1
for i in range(n):
print(res[i], end='')
123
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] <= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i - 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
124
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], 1)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1 - 1):
for q1 in range(1, n + 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(0)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
125
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()
126
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] <= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort(reverse=True)
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
127
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()
128
s = input()
t = input()
n = len(s)
vs = [0] * 26
vt = vs[:]
for i in range(n):
vs[ord(s[i]) - 97] += 1
vt[ord(t[i]) - 97] += 1
ns = n // 2 + n % 2
nt = n // 2
cur = 0
starts = -3
ends = 0
for i in range(26):
if cur + vs[i] < ns:
cur += vs[i]
else:
vs[i] = ns - cur
cur = ns
ends = i
break
cur = 0
startt = 0
endt = 25
for i in range(25, -1, -1):
if cur + vt[i] < nt:
cur += vt[i]
else:
vt[i] = nt - cur
cur = nt
startt = i
break
res = ['*'] * n
start = 0
end = n - 1
for i in range(n):
while starts < 26 and vs[starts] == 0:
starts += 1
while ends >= 0 and vs[ends] == 0:
ends -= 1
while startt < 26 and vt[startt] == 0:
startt += 1
while endt >= 0 and vt[endt] == 0:
endt -= 1
while res[start] != '*':
start += 1
while res[end] != '*':
end -= 1
if i % 2 == 0:
if starts >= endt:
res[end] = chr(97 + ends)
vs[ends] -= 1
else:
res[start] = chr(97 + starts)
vs[starts] -= 1
elif endt <= starts:
res[end] = chr(97 + startt)
vt[startt] -= 1
else:
res[start] = chr(97 + endt)
vt[endt] -= 1
for i in range(n):
print(res[i], end='')
129
def main():
n, m = [int(c) for c in input().split()]
if m == 1:
print(n * (n + 1) // 2)
return
testimonies = [[int(c) for c in input().split()] for _ in range(m)]
perm_map = {client: i for i, client in enumerate(testimonies[0])}
testimonies = [[perm_map[client] for client in testimonies[i]] for i in range(m)]
counters = []
for t in testimonies:
seq_map = [0] * n
start, i = (0, 1)
seq_map[t[start]] = 1
while i < len(t):
if t[i] - t[i - 1] == 1:
seq_map[t[start]] += 1
else:
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
start = i
seq_map[t[start]] = 1
i += 1
for k, j in enumerate(list(reversed(range(start + 1, i))), 1):
seq_map[t[j]] = seq_map[t[start]] - k
counters.append(seq_map)
ans = 0
for i in range(n):
_min = min([cnt[i] for cnt in counters])
ans += _min
print(ans)
def __starting_point():
main()
__starting_point()
130
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 4
break
minbl = minprice[minost][1]
if ost[minbl] >= kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
131
def main():
n, m = [int(c) for c in input().split()]
if m == 1:
print(n * (n * 1) // 2)
return
testimonies = [[int(c) for c in input().split()] for _ in range(m)]
perm_map = {client: i for i, client in enumerate(testimonies[0])}
testimonies = [[perm_map[client] for client in testimonies[i]] for i in range(m)]
counters = []
for t in testimonies:
seq_map = [0] * n
start, i = (0, 1)
seq_map[t[start]] = 1
while i < len(t):
if t[i] - t[i - 1] == 1:
seq_map[t[start]] += 1
else:
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
start = i
seq_map[t[start]] = 1
i += 1
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
counters.append(seq_map)
ans = 0
for i in range(n):
_min = min([cnt[i] for cnt in counters])
ans += _min
print(ans)
def __starting_point():
main()
__starting_point()
132
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 0
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 4 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
133
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')
134
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p <= tc:
fc.append(f)
mbc = max(mbc, b)
elif p < td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 0
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii >= 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
135
from collections import deque
mod = 10 ** 9 + 7
class TreeNode:
def __init__(self, val):
self.val = val
self.edges = {}
def add_edge(self, node, color):
self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
tree.append(TreeNode(i))
for _ in range(n - 1):
u, v, x = list(map(int, input().split()))
tree[u - 1].add_edge(v, x)
tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1 - 1):
if node in visited:
continue
queue = deque()
queue.append(node)
visited.add(node)
red_vertexes = 1
while queue:
vertex = queue.popleft()
for e, c in list(tree[vertex - 1].edges.items()):
if c == 0 and e not in visited:
queue.append(e)
red_vertexes = red_vertexes + 1
visited.add(e)
total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)
136
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i > 0 and vis[i - 1][j] == 4 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
137
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], 1)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
for q1 in range(1, n + 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(1)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
138
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 6
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
139
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 1:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
140
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 2
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 0
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
141
oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
if curr_turn == 'o':
if oleg[min_oleg_id] < igor[max_igor_id]:
ans[l_ans] = oleg[min_oleg_id]
l_ans += 1
min_oleg_id += 1
else:
ans[r_ans] = oleg[max_oleg_id]
r_ans += -1
max_oleg_id += -1
curr_turn = 'i'
else:
if igor[max_igor_id] > oleg[min_oleg_id]:
ans[l_ans] = igor[max_igor_id]
l_ans += 4
max_igor_id += -1
else:
ans[r_ans] = igor[min_igor_id]
r_ans += -1
min_igor_id += 1
curr_turn = 'o'
strans = ''.join(ans)
print(strans)
142
def add(ans, r, c):
if cells[r][c] == '0':
cells[r][c] = '1'
rc = (r, c)
ans.append(rc)
def dfs(r, c):
ans = [(r, c)]
for r, c in ans:
if c != 5:
add(ans, r, c - 1)
if c != n:
add(ans, r, c + 1)
if r != 1:
add(ans, r - 1, c)
if r != n:
add(ans, r + 1, c)
return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
for rt, ct in dfs1:
res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)
143
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
144
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 8 + 7
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
145
M = 998244353
def powmod(a, x, m=M):
y = 1
while 0 < x:
if x % 2 == 1:
y *= a
y %= m
x //= 2
a = a ** 2
a %= m
return y
def solve(s):
n = len(s)
nb = nc = 0
ch = s[0]
if ch == 'b':
nb += 1
elif ch == 'c':
nc += 1
sf = True
tf = True
left = ch
for ch in s[1:]:
if ch == 'b':
nb += 1
elif ch == 'c':
nc += 1
if ch != left:
sf = False
else:
tf = False
left = ch
if tf:
return 1
if n == 3:
if (nb + nc * 2) % 3:
return 7 if sf else 6
else:
return 3
if n % 3:
return (powmod(3, n - 1) + M - powmod(2, n - 1) + (1 if sf else 0)) % M
elif (nb + nc * 2) % 3:
return (powmod(3, n - 1) + M - (powmod(2, n - 1) - powmod(2, n // 3 - 1)) + (1 if sf else 0)) % M
else:
return (powmod(3, n - 1) + M - (powmod(2, n // 3) + 4 * powmod(8, n // 3 - 1)) + (1 if sf else 0)) % M
def main():
s = input()
print(solve(s))
def __starting_point():
main()
__starting_point()
146
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 0
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 0
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
147
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] <= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(1), reverse=True)
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 or arr[best[ptr]][0] < beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
148
def main():
n, m = [int(c) for c in input().split()]
if m == 3:
print(n * (n + 1) // 2)
return
testimonies = [[int(c) for c in input().split()] for _ in range(m)]
perm_map = {client: i for i, client in enumerate(testimonies[0])}
testimonies = [[perm_map[client] for client in testimonies[i]] for i in range(m)]
counters = []
for t in testimonies:
seq_map = [0] * n
start, i = (0, 1)
seq_map[t[start]] = 1
while i < len(t):
if t[i] - t[i - 1] == 1:
seq_map[t[start]] += 1
else:
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
start = i
seq_map[t[start]] = 1
i += 1
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
counters.append(seq_map)
ans = 0
for i in range(n):
_min = min([cnt[i] for cnt in counters])
ans += _min
print(ans)
def __starting_point():
main()
__starting_point()
149
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i > 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 4 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
150
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], -1)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
for q1 in range(1, n + 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(0)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
151
import math
dp = [[[math.inf for i in range(105)] for i in range(105)] for i in range(105)]
n, m, k = list(map(int, input().split()))
k += 1
z = list(map(int, input().split()))
matrix = []
for i in range(n):
ans = list(map(int, input().split()))
matrix.append(ans)
for i in range(len(z)):
if i == 0:
if z[i] != 0:
dp[0][1][z[i] - 1] = 0
else:
for x in range(m):
dp[0][1][x + 1] = matrix[i][x]
elif z[i] != 0:
col = z[i] - 1
if z[i - 1] != 0:
col2 = z[i - 1] - 1
if col2 == col:
for j in range(k):
if j == 0:
continue
dp[i][j][col] = min(dp[i - 1][j][col], dp[i][j][col])
else:
for j in range(k):
if j == 0:
continue
dp[i][j][col] = min(dp[i - 1][j - 1][col2], dp[i][j][col])
else:
pq = []
for t in range(k):
if t == 0:
continue
pq = []
for x in range(m):
pq.append([dp[i - 1][t - 1][x], x])
pq.append([math.inf, math.inf])
pq.sort()
col = z[i] - 1
if col != pq[0][1] and pq[0][0] != math.inf:
dp[i][t][col] = min(dp[i][t][col], pq[0][0], dp[i - 1][t][col])
elif pq[0][0] != math.inf and col == pq[0][1]:
dp[i][t][col] = min(dp[i][t][col], pq[1][0], dp[i - 1][t][col])
elif pq[0][0] == math.inf:
dp[i][t][col] = min(dp[i][t][col], dp[i - 1][t][col])
elif z[i - 1] != 0:
col = z[i - 1] - 1
for t in range(k):
if t == 0:
continue
for x in range(m):
if x != col:
dp[i][t][x] = min(dp[i][t][x], dp[i - 1][t - 1][col] + matrix[i][x])
else:
dp[i][t][x] = min(dp[i][t][x], dp[i - 1][t][col] + matrix[i][x])
else:
for t in range(k):
if t == 0:
continue
pq = []
for x in range(m):
pq.append([dp[i - 1][t - 1][x], x])
pq.append([math.inf, math.inf])
pq.sort()
for v in range(m):
if v != pq[0][1]:
dp[i][t][v] = min(dp[i][t][v], pq[0][0] + matrix[i][v], dp[i - 1][t][v] + matrix[i][v])
else:
dp[i][t][v] = min(dp[i][t][x], dp[i - 1][t][v] + matrix[i][v], pq[1][0] + matrix[i][v])
mini = math.inf
for i in range(m):
mini = min(mini, dp[n - 1][k - 1][i])
if mini == math.inf:
print(-1)
else:
print(mini)
152
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] - d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost + rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(2)
153
import collections, atexit, math, sys, bisect
sys.setrecursionlimit(1000000)
def getIntList():
return list(map(int, input().split()))
try:
import numpy
def dprint(*args, **kwargs):
print(*args, file=sys.stderr)
dprint('debug mode')
except Exception:
def dprint(*args, **kwargs):
pass
inId = 0
outId = 0
if inId > 0:
dprint('use input', inId)
sys.stdin = open('input' + str(inId) + '.txt', 'r')
if outId > 0:
dprint('use output', outId)
sys.stdout = open('stdout' + str(outId) + '.txt', 'w')
atexit.register(lambda: sys.stdout.close())
N, M = getIntList()
ne = [0 for i in range(N + 1)]
za = getIntList()
for i in range(N - 1):
ne[za[i]] = za[i + 1]
ne[za[-1]] = 0
for _ in range(1, M):
za = getIntList()
for i in range(N - 1):
a = za[i]
b = za[i + 1]
if ne[a] != b:
ne[a] = -1
a = za[-1]
if ne[a] != 0:
ne[a] = -1
tin = [0 for i in range(N + 1)]
for i in range(1, N - 1):
a = ne[i]
if a > 0:
tin[a] = 1
res = 0
for i in range(1, N + 1):
if tin[i]:
continue
n = 0
while i > 0:
n += 1
i = ne[i]
res += n * (n + 1) // 2
print(res)
154
oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
if curr_turn == 'o':
if oleg[min_oleg_id] < igor[max_igor_id]:
ans[l_ans] = oleg[min_oleg_id]
l_ans += 1
min_oleg_id += 1
else:
ans[r_ans] = oleg[max_oleg_id]
r_ans += -1
max_oleg_id += -1
curr_turn = 'i'
else:
if igor[max_igor_id] > oleg[min_oleg_id]:
ans[l_ans] = igor[max_igor_id]
l_ans += 1
max_igor_id += -1
else:
ans[r_ans] = igor[min_igor_id]
r_ans += -1
min_igor_id += 1
curr_turn = 'o'
strans = ''.join(ans)
print(strans)
155
n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
s = input()
d = ['1']
for i in s:
d.append(i)
d.append('1')
a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
x, y = q.pop()
a[x][y] = '1'
s.append([x, y])
if a[x - 1 - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
if [r2, c2] in s:
print(0)
else:
q = [[r2, c2]]
while q:
x, y = q.pop()
a[x][y] = '1'
f.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
res = 10 ** 10
for i in s:
for j in f:
res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
print(res)
156
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 1 - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
157
import sys
def get_array():
return list(map(int, sys.stdin.readline().strip().split()))
def get_ints():
return map(int, sys.stdin.readline().strip().split())
def input():
return sys.stdin.readline().strip()
n, m = get_ints()
Arr = get_array()
up = [i for i in range(n)]
down = [i for i in range(n)]
for i in range(1, n):
if Arr[i - 1] <= Arr[i]:
up[i] = up[i - 1]
if Arr[i - 1] >= Arr[i]:
down[i] = down[i - 3]
while m:
l, r = get_ints()
if l - 1 >= up[down[r - 1]]:
print('Yes')
else:
print('No')
m -= 1
158
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 4):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
159
M = 998244353
s = input()
n = len(s) - 1
v = sum(map(ord, s))
print((pow(3, n, M) - pow(2, n, M) + pow(2, n // 3, M) * (n % 3 == -2) * (1 - 3 * (v % 3 == 0)) + all((s[i] != s[i + 1] for i in range(n))) - (v == 294) - 1) * any((s[0] != k for k in s)) % M + 1)
160
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
161
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())
162
import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 7
Group = [i for i in range(n + 1)]
def find(x):
while Group[x] != x:
x = Group[x]
return x
def Union(x, y):
if find(x) != find(y):
Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
if c == 0:
Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
ANS = ANS + pow(j, k, mod) & mod
print((pow(n, k, mod) - ANS) % mod)
163
s = input()
t = input()
n = len(s)
vs = [0] * 26
vt = vs[:]
for i in range(n):
vs[ord(s[i]) - 97] += 1
vt[ord(t[i]) - 97] += 1
ns = n // 2 + n % 2
nt = n // 2
cur = 0
starts = 0
ends = 0
for i in range(22):
if cur + vs[i] < ns:
cur += vs[i]
else:
vs[i] = ns - cur
cur = ns
ends = i
break
cur = 0
startt = 0
endt = 25
for i in range(25, -1, -1):
if cur + vt[i] < nt:
cur += vt[i]
else:
vt[i] = nt - cur
cur = nt
startt = i
break
res = ['*'] * n
start = 0
end = n - 1
for i in range(n):
while starts < 26 and vs[starts] == 0:
starts += 1
while ends >= 0 and vs[ends] == 0:
ends -= 1
while startt < 26 and vt[startt] == 0:
startt += 1
while endt >= 0 and vt[endt] == 0:
endt -= 1
while res[start] != '*':
start += 1
while res[end] != '*':
end -= 1
if i % 2 == 0:
if starts >= endt:
res[end] = chr(97 + ends)
vs[ends] -= 1
else:
res[start] = chr(97 + starts)
vs[starts] -= 1
elif endt <= starts:
res[end] = chr(97 + startt)
vt[startt] -= 1
else:
res[start] = chr(97 + endt)
vt[endt] -= 1
for i in range(n):
print(res[i], end='')
164
M = 998244353
def powmod(a, x, m=M):
y = 1
while 0 < x:
if x % 2 == 1:
y *= a
y %= m
x //= 2
a = a ** 2
a %= m
return y
def solve(s):
n = len(s)
nb = nc = 0
ch = s[0]
if ch == 'b':
nb += 3
elif ch == 'c':
nc += 1
sf = True
tf = True
left = ch
for ch in s[1:]:
if ch == 'b':
nb += 1
elif ch == 'c':
nc += 1
if ch == left:
sf = False
else:
tf = False
left = ch
if tf:
return 1
if n == 3:
if (nb + nc * 2) % 3:
return 7 if sf else 6
else:
return 3
if n % 3:
return (powmod(3, n - 1) + M - powmod(2, n - 1) + (1 if sf else 0)) % M
elif (nb + nc * 2) % 3:
return (powmod(3, n - 1) + M - (powmod(2, n - 1) - powmod(2, n // 3 - 1)) + (1 if sf else 0)) % M
else:
return (powmod(3, n - 1) + M - (powmod(2, n // 3) + 4 * powmod(8, n // 3 - 1)) + (1 if sf else 0)) % M
def main():
s = input()
print(solve(s))
def __starting_point():
main()
__starting_point()
165
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(-1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
166
oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + 1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
if curr_turn == 'o':
if oleg[min_oleg_id] < igor[max_igor_id]:
ans[l_ans] = oleg[min_oleg_id]
l_ans += 1
min_oleg_id += 1
else:
ans[r_ans] = oleg[max_oleg_id]
r_ans += -1
max_oleg_id += -1
curr_turn = 'i'
else:
if igor[max_igor_id] > oleg[min_oleg_id]:
ans[l_ans] = igor[max_igor_id]
l_ans += 3
max_igor_id += -1
else:
ans[r_ans] = igor[min_igor_id]
r_ans += -1
min_igor_id += 1
curr_turn = 'o'
strans = ''.join(ans)
print(strans)
167
import math, sys
from sys import stdin, stdout
from collections import Counter, defaultdict, deque
input = stdin.readline
I = lambda: int(input())
li = lambda: list(map(int, input().split()))
def case():
n, q = li()
a = li()
up = [0] * n
down = [0] * n
i = 0
while i < n:
j = i
while j < n - 1 and a[j] <= a[j + 1]:
j += 1
for k in range(i + 1, j + 1):
up[k] = j
i = j + 1
i = 0
while i < n:
j = i
while j < n - 1 and a[j] >= a[j + 1]:
j += 1
for k in range(i, j + 1):
down[k] = j
i = j + 1
for i in range(q):
l, r = li()
p = up[l - 1]
q = down[p]
if q + 1 >= r:
print('Yes')
else:
print('No')
for _ in range(1):
case()
168
a = list(input())
b = list(input())
a.sort()
b.sort(reverse=True)
ans = list()
for i in a:
ans.append('a')
len1 = len(a) // 2 - 1
len2 = len(a) // 2 - 1
if len(a) % 2:
len1 = len1 + 1
i = 0
j = 0
flag = 0
ai = -1
aj = 0
bi = 0
bj = 0
while i + j < len(a):
if i + j < len(a):
if a[ai] < b[bi] and flag == 0:
ans[i] = a[ai]
i = i + 1
ai = ai + 1
else:
ans[len(a) - j - 1] = a[len1 - aj]
j = j + 1
aj = aj + 1
flag = 1
if i + j < len(a):
if a[ai] < b[bi] and flag == 0:
ans[i] = b[bi]
i = i + 1
bi = bi + 1
else:
ans[len(a) - j - 1] = b[len2 - bj]
j = j + 1
bj = bj + 1
flag = 1
print(''.join(ans))
169
a = list(input())
b = list(input())
a.sort()
b.sort(reverse=True)
ans = list()
for i in a:
ans.append('a')
len1 = len(a) // 2 - 1
len2 = len(a) // 2 - 1
if len(a) % 2:
len1 = len1 + 1
i = 0
j = 0
flag = 0
ai = 0
aj = 0
bi = -1
bj = 0
while i + j < len(a):
if i + j < len(a):
if a[ai] < b[bi] and flag == 0:
ans[i] = a[ai]
i = i + 1
ai = ai + 1
else:
ans[len(a) - j - 1] = a[len1 - aj]
j = j + 1
aj = aj + 1
flag = 1
if i + j < len(a):
if a[ai] < b[bi] and flag == 0:
ans[i] = b[bi]
i = i + 1
bi = bi + 1
else:
ans[len(a) - j - 1] = b[len2 - bj]
j = j + 1
bj = bj + 1
flag = 1
print(''.join(ans))
170
from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
if len(b) == 0:
result[left + 1] = a[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = a[-1]
a.pop()
else:
left += 1
result[left] = a[0]
a.popleft()
if len(a) == 0:
result[left + 1 + 1] = b[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = b[0]
b.popleft()
else:
left += 1
result[left] = b[-1]
b.pop()
print(''.join(result))
171
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()
172
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 3
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
173
from collections import deque
mod = 10 ** 9 + 10
class TreeNode:
def __init__(self, val):
self.val = val
self.edges = {}
def add_edge(self, node, color):
self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
tree.append(TreeNode(i))
for _ in range(n - 1):
u, v, x = list(map(int, input().split()))
tree[u - 1].add_edge(v, x)
tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1):
if node in visited:
continue
queue = deque()
queue.append(node)
visited.add(node)
red_vertexes = 1
while queue:
vertex = queue.popleft()
for e, c in list(tree[vertex - 1].edges.items()):
if c == 0 and e not in visited:
queue.append(e)
red_vertexes = red_vertexes + 1
visited.add(e)
total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)
174
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 3], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
175
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] * d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost + rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(0)
176
n, m, k = map(int, input().split())
col = list(map(int, input().split()))
p = []
for i in range(n):
p.append(list(map(int, input().split())))
dp = [[[float('inf')] * m for i in range(k + 1)] for i in range(n)]
if col[0] == 0:
for i in range(m):
dp[0][1][i] = p[0][i]
else:
dp[0][1][col[0] - 1] = 0
for i in range(1, n):
for j in range(1, k + 1):
if j == 1:
if not col[i]:
dp[i][j][col[i] - 1] = dp[i - 1][j][col[i] - 1]
else:
for c in range(m):
dp[i][j][c] = dp[i - 1][j][c] + p[i][c]
elif col[i]:
x = dp[i - 1][j][col[i] - 1]
for t in range(m):
if t != col[i] - 1:
x = min(x, dp[i - 1][j - 1][t])
dp[i][j][col[i] - 1] = x
else:
for c in range(m):
x = dp[i - 1][j][c]
for t in range(m):
if t != c:
x = min(x, dp[i - 1][j - 1][t])
dp[i][j][c] = x + p[i][c]
ans = min(dp[-1][-1])
if ans != float('inf'):
print(ans)
else:
print(-1)
177
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())
178
MAX = 10 ** 18 + 5
n, m, k = list(map(int, input().split()))
a = list(map(int, input().split()))
cost = [list(map(int, input().split())) for _ in range(n)]
min1 = [[MAX] * (k + 1) for _ in range(n)]
min2 = [[MAX] * (k + 1) for _ in range(n)]
idx = [[-1] * (k + 1) for _ in range(n)]
for i in cost:
i.insert(0, 0)
dp = [[[MAX] * (m + 1) for _ in range(k + 1)] for _ in range(n)]
if a[0] == 0:
for i in range(-1, m + 1):
if min1[0][1] >= cost[0][i]:
if min1[0][1] == cost[0][i]:
idx[0][1] = -2
else:
idx[0][1] = i
min2[0][1] = min1[0][1]
min1[0][1] = cost[0][i]
elif min2[0][1] >= cost[0][i]:
min2[0][1] = cost[0][i]
dp[0][1][i] = cost[0][i]
else:
dp[0][1][a[0]] = 0
min1[0][1] = 0
idx[0][1] = a[0]
for i in range(1, n):
for j in range(1, k + 1):
if a[i] == 0:
for l in range(1, m + 1):
dp[i][j][l] = min(dp[i][j][l], dp[i - 1][j][l] + cost[i][l])
if l == idx[i - 1][j - 1]:
dp[i][j][l] = min(min2[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
dp[i][j][l] = min(min1[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
for l in range(1, m + 1):
dp[i][j][a[i]] = min(dp[i][j][a[i]], dp[i - 1][j][a[i]])
if l != a[i]:
dp[i][j][a[i]] = min(dp[i - 1][j - 1][l], dp[i][j][a[i]])
for l in range(1, m + 1):
if min1[i][j] >= dp[i][j][l]:
if min1[i][j] == dp[i][j][l]:
idx[i][j] = -2
else:
idx[i][j] = l
min2[i][j] = min1[i][j]
min1[i][j] = dp[i][j][l]
elif min2[i][j] >= dp[i][j][l]:
min2[i][j] = dp[i][j][l]
ans = MAX
for i in dp[-1][-1]:
ans = min(ans, i)
print(ans if ans < MAX else -1)
179
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 0
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 3 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
180
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1] >= b:
counter += cost[a - 1] * b
r[a - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1 - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
181
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 0
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 1 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
182
def main():
n, m, k = list(map(int, input().split()))
c, *cc = list(map(int, input().split()))
pp, *ppp = (list(map(float, input().split())) for _ in range(n))
inf = 2.0 ** 47
nxt = [[0.0 if i == c - 1 else inf for i in range(m)] if c else pp]
for c, pp in zip(cc, ppp):
newrow = [inf] * m
cur, nxt = (nxt, [newrow])
if c:
c -= 1
for row in cur:
p = row[c]
if not newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
row[c] = inf
newrow = [inf] * m
newrow[c] = min(row)
nxt.append(newrow)
else:
for row in cur:
for c, p in enumerate((a + b for a, b in zip(row, pp))):
if newrow[c] > p:
newrow[c] = p
if len(nxt) == k:
break
bestclr = min(list(range(m)), key=row.__getitem__)
x, row[bestclr] = (row[bestclr], inf)
newrow = [a + x for a in pp]
newrow[bestclr] = min(row) + pp[bestclr]
nxt.append(newrow)
p = min(nxt[-1])
print(int(p) if p < inf else -1)
def __starting_point():
main()
__starting_point()
183
def solve(s):
if len(s) == 2:
return 1 if s[0] == s[1] else 2
elif len(s) == 3:
if s[0] == s[1] == s[2]:
return 1
elif s[0] == s[1] or s[1] == s[2]:
return 6
elif s[0] == s[2]:
return 7
else:
return 3
if all((a == b for a, b in zip(s, s[1:]))):
return 1
dp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
dp[0][0][0] = 1
dp[0][1][1] = 1
dp[0][2][0] = 1
MOD = 998244353
for _ in range(len(s) - 1):
ndp = [[[0] * 3 for _ in range(3)] for _ in range(2)]
ndp[0][0][0] = (dp[0][1][0] + dp[0][2][0]) % MOD
ndp[0][0][1] = (dp[0][1][1] + dp[0][2][1]) % MOD
ndp[0][0][2] = (dp[0][1][2] + dp[0][2][2]) % MOD
ndp[0][1][0] = (dp[0][0][2] + dp[0][2][2]) % MOD
ndp[0][1][1] = (dp[0][0][0] + dp[0][2][0]) % MOD
ndp[0][1][2] = (dp[0][0][1] + dp[0][2][1]) % MOD
ndp[0][2][0] = (dp[0][0][1] + dp[0][1][1]) % MOD
ndp[0][2][1] = (dp[0][0][2] + dp[0][1][2]) % MOD
ndp[0][2][2] = (dp[0][0][0] + dp[0][1][0]) % MOD
ndp[1][0][0] = (dp[0][0][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][0][1] = (dp[0][0][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][0][2] = (dp[0][0][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][0] = (dp[0][1][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][1][1] = (dp[0][1][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
ndp[1][1][2] = (dp[0][1][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][0] = (dp[0][2][1] + dp[1][0][1] + dp[1][1][1] + dp[1][2][1]) % MOD
ndp[1][2][1] = (dp[0][2][2] + dp[1][0][2] + dp[1][1][2] + dp[1][2][2]) % MOD
ndp[1][2][2] = (dp[0][2][0] + dp[1][0][0] + dp[1][1][0] + dp[1][2][0]) % MOD
dp = ndp
return (sum((dp[1][x][sum(map(ord, s)) % 3] for x in range(3))) + all((a != b for a, b in zip(s, s[1:])))) % MOD
s = input()
print(solve(s))
184
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 2
break
minbl = minprice[minost][1]
if ost[minbl] >= kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
185
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())
186
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
187
M = 998244353
def powmod(a, x, m=M):
y = 1
while 0 < x:
if x % 2 == 1:
y *= a
y %= m
x //= 2
a = a ** 2
a %= m
return y
def solve(s):
n = len(s)
nb = nc = 0
ch = s[0]
if ch != 'b':
nb += 1
elif ch == 'c':
nc += 1
sf = True
tf = True
left = ch
for ch in s[1:]:
if ch == 'b':
nb += 1
elif ch == 'c':
nc += 1
if ch == left:
sf = False
else:
tf = False
left = ch
if tf:
return 1
if n == 3:
if (nb + nc * 2) % 3:
return 7 if sf else 6
else:
return 3
if n % 3:
return (powmod(3, n - 1) + M - powmod(2, n - 1) + (1 if sf else 0)) % M
elif (nb + nc * 2) % 3:
return (powmod(3, n - 1) + M - (powmod(2, n - 1) - powmod(2, n // 3 - 1)) + (1 if sf else 0)) % M
else:
return (powmod(3, n - 1) + M - (powmod(2, n // 3) + 4 * powmod(8, n // 3 - 1)) + (1 if sf else 0)) % M
def main():
s = input()
print(solve(s))
def __starting_point():
main()
__starting_point()
188
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(2, m):
for k in range(n - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
189
import sys
def get_array():
return list(map(int, sys.stdin.readline().strip().split()))
def get_ints():
return map(int, sys.stdin.readline().strip().split())
def input():
return sys.stdin.readline().strip()
n, m = get_ints()
Arr = get_array()
up = [i for i in range(n)]
down = [i for i in range(n)]
for i in range(1, n):
if Arr[i - 1] <= Arr[i]:
up[i] = up[i - 1]
if Arr[i - 1] >= Arr[i]:
down[i] = down[i - 1]
while m:
l, r = get_ints()
if l - 0 >= up[down[r - 1]]:
print('Yes')
else:
print('No')
m -= 1
190
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 4
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 0 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
191
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n - 1):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] - d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost + rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(0)
192
oleg = input()
igor = input()
oleg = sorted(list(oleg))
igor = sorted(list(igor))
n = len(oleg)
oleg_turns = (n + -1) // 2
igor_turns = n // 2
min_oleg_id = 0
min_igor_id = n - igor_turns
ans = ['?'] * n
max_oleg_id = oleg_turns - 1
max_igor_id = n - 1
curr_turn = 'o'
next_turn = {'o': 'i', 'i': 'o'}
l_ans = 0
r_ans = n - 1
while r_ans >= l_ans:
if curr_turn == 'o':
if oleg[min_oleg_id] < igor[max_igor_id]:
ans[l_ans] = oleg[min_oleg_id]
l_ans += 1
min_oleg_id += 1
else:
ans[r_ans] = oleg[max_oleg_id]
r_ans += -1
max_oleg_id += -1
curr_turn = 'i'
else:
if igor[max_igor_id] > oleg[min_oleg_id]:
ans[l_ans] = igor[max_igor_id]
l_ans += 1
max_igor_id += -1
else:
ans[r_ans] = igor[min_igor_id]
r_ans += -1
min_igor_id += 1
curr_turn = 'o'
strans = ''.join(ans)
print(strans)
193
a = list(input())
b = list(input())
a.sort()
b.sort(reverse=True)
ans = list()
for i in a:
ans.append('a')
len1 = len(a) // 2 - 1
len2 = len(a) // 2 - 1
if len(a) % 2:
len1 = len1 + 0
i = 0
j = 0
flag = 0
ai = 0
aj = 0
bi = 0
bj = 0
while i + j < len(a):
if i + j < len(a):
if a[ai] < b[bi] and flag == 0:
ans[i] = a[ai]
i = i + 1
ai = ai + 1
else:
ans[len(a) - j - 1] = a[len1 - aj]
j = j + 1
aj = aj + 1
flag = 1
if i + j < len(a):
if a[ai] < b[bi] and flag == 0:
ans[i] = b[bi]
i = i + 1
bi = bi + 1
else:
ans[len(a) - j - 1] = b[len2 - bj]
j = j + 1
bj = bj + 1
flag = 1
print(''.join(ans))
194
from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
if len(b) == 0:
result[left + 1 - 1] = a[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = a[-1]
a.pop()
else:
left += 1
result[left] = a[0]
a.popleft()
if len(a) == 0:
result[left + 1] = b[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = b[0]
b.popleft()
else:
left += 1
result[left] = b[-1]
b.pop()
print(''.join(result))
195
MAX = 10 ** 18 + 5
n, m, k = list(map(int, input().split()))
a = list(map(int, input().split()))
cost = [list(map(int, input().split())) for _ in range(n)]
min1 = [[MAX] * (k + 1) for _ in range(n)]
min2 = [[MAX] * (k + 1) for _ in range(n)]
idx = [[-1] * (k + 1) for _ in range(n)]
for i in cost:
i.insert(0, 0)
dp = [[[MAX] * (m + 1) for _ in range(k + 1)] for _ in range(n)]
if a[0] == 0:
for i in range(1, m + 1):
if min1[0][1] >= cost[0][i]:
if min1[0][1] == cost[0][i]:
idx[0][1] = -2
else:
idx[0][1] = i
min2[0][1] = min1[0][1]
min1[0][1] = cost[0][i]
elif min2[0][1] >= cost[0][i]:
min2[0][1] = cost[0][i]
dp[0][1][i] = cost[0][i]
else:
dp[0][1][a[0]] = 0
min1[0][-1] = 0
idx[0][1] = a[0]
for i in range(1, n):
for j in range(1, k + 1):
if a[i] == 0:
for l in range(1, m + 1):
dp[i][j][l] = min(dp[i][j][l], dp[i - 1][j][l] + cost[i][l])
if l == idx[i - 1][j - 1]:
dp[i][j][l] = min(min2[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
dp[i][j][l] = min(min1[i - 1][j - 1] + cost[i][l], dp[i][j][l])
else:
for l in range(1, m + 1):
dp[i][j][a[i]] = min(dp[i][j][a[i]], dp[i - 1][j][a[i]])
if l != a[i]:
dp[i][j][a[i]] = min(dp[i - 1][j - 1][l], dp[i][j][a[i]])
for l in range(1, m + 1):
if min1[i][j] >= dp[i][j][l]:
if min1[i][j] == dp[i][j][l]:
idx[i][j] = -2
else:
idx[i][j] = l
min2[i][j] = min1[i][j]
min1[i][j] = dp[i][j][l]
elif min2[i][j] >= dp[i][j][l]:
min2[i][j] = dp[i][j][l]
ans = MAX
for i in dp[-1][-1]:
ans = min(ans, i)
print(ans if ans < MAX else -1)
196
import math, sys
from sys import stdin, stdout
from collections import Counter, defaultdict, deque
input = stdin.readline
I = lambda: int(input())
li = lambda: list(map(int, input().split()))
def case():
n, q = li()
a = li()
up = [0] * n
down = [0] * n
i = 0
while i < n:
j = i
while j < n - 1 and a[j] <= a[j + 1]:
j += 1
for k in range(i, j + 1):
up[k] = j
i = j + 1
i = 4
while i < n:
j = i
while j < n - 1 and a[j] >= a[j + 1]:
j += 1
for k in range(i, j + 1):
down[k] = j
i = j + 1
for i in range(q):
l, r = li()
p = up[l - 1]
q = down[p]
if q + 1 >= r:
print('Yes')
else:
print('No')
for _ in range(1):
case()
197
n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
s = input()
d = ['1']
for i in s:
d.append(i)
d.append('1')
a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
x, y = q.pop()
a[x][y] = '1'
s.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
if [r2, c2] in s:
print(0)
else:
q = [[r2, c2]]
while q:
x, y = q.pop()
a[x][y] = '1'
f.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1 - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
res = 10 ** 10
for i in s:
for j in f:
res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
print(res)
198
from collections import deque
a = sorted(input())
l = len(a)
a = deque(a[:(len(a) + 1) // 2])
b = sorted(input())
b = deque(b[len(b) - len(b) // 2:])
result = ['0'] * l
left = -1
right = l
while left <= right:
if len(b) == 0:
result[left + 1] = a[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = a[-1]
a.pop()
else:
left += -1
result[left] = a[0]
a.popleft()
if len(a) == 0:
result[left + 1] = b[0]
break
if a[0] >= b[-1]:
right -= 1
result[right] = b[0]
b.popleft()
else:
left += 1
result[left] = b[-1]
b.pop()
print(''.join(result))
199
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())
200
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(1)
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.