001
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -1):
for j in range(m - 1, 0, --1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 1:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1) if matrix[i][j] >= matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
002
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 2 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index - 1] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index]:
potential = score + (n - done - 1) * val + arr[index]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
003
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)
004
n, v = list(map(int, input().split()))
f = list()
for i in range(n):
f.append(list(map(int, input().split())))
f.sort()
sum = 0
today = 0
tomor = 0
day = 0
rest = 0
for tree in f:
if tree[0] > day + 5:
sum += min(tomor, v)
tomor = tree[1]
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor -= min(tomor, v)
day = tree[0]
elif tree[0] == day + 1:
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor = tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
day = tree[0]
else:
tomor += tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
sum += min(tomor, v)
print(sum)
005
from collections import deque
from sys import stdin, stdout
input = stdin.readline
saida = []
t = int(input())
modulo = 998244353
for _ in range(t):
ans = 1
part = 0
factor = 0
fila = deque([])
n, m = map(int, input().split())
if m > n // 2 * (n // 2 + 1):
saida.append('0')
for edge_count in range(m):
input()
continue
edge = [[] for i in range(n + 1)]
visitados = [-1] * (n + 1)
assure = 1
for arestas in range(m):
u, v = map(int, input().split())
edge[u].append(v)
edge[v].append(u)
visitados[1] = 0
fila.append(1)
break_all = False
while not break_all:
par, impar = (1, 0)
while fila and (not break_all):
search = fila.popleft()
current = visitados[search]
for i in edge[search]:
if visitados[i] == -1:
visitados[i] = current ^ 1
if visitados[i] & 1:
impar += 1
else:
par += 1
fila.append(i)
elif visitados[i] == current:
break_all = True
else:
assert visitados[i] == current ^ 1
if break_all:
ans = 0
elif (par, impar) == (1, 0):
factor += 1
else:
ans *= pow(2, par, modulo) + pow(2, impar, modulo)
ans %= modulo
while assure <= n:
if visitados[assure] == -1:
part += 1
visitados[assure] = 2 * part
fila.append(assure)
break
assure += 1
if assure == n + 1:
break
ans *= pow(2, factor, modulo)
ans %= modulo
saida.append(str(ans))
print('\n'.join(saida))
006
n, m = map(int, input().split())
a = []
for i in range(n):
a.append(list(map(int, input().split())))
dpa = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
dpb = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
ans = 0
for i in range(1, n + 1):
for j in reversed(range(1, m + 1)):
dpa[i][j][0] = max(dpa[i - 1][j][0], dpa[i][j - 1][0]) + a[i - 1][j - 1]
dpa[n + 1 - i][m + 1 - j][1] = max(dpa[n + 2 - i][m + 1 - j][1], dpa[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(n, 0, -1):
for j in range(1, m + 1):
dpb[i][j][0] = max(dpb[i + 1][j][0], dpb[i][j - 1][0]) + a[i - 1][j - 1]
dpb[n + 1 - i][m + 1 - j][1] = max(dpb[n - i][m + 1 - j][1], dpb[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(2, n):
for j in range(2, m):
x = dpa[i - 1][j][0] + dpa[i + 1][j][1] + dpb[i][j - 1][0] + dpb[i][j + 1][1]
y = dpb[i + 1][j][0] + dpb[i - 1][j][1] + dpa[i][j - 1][0] + dpa[i][j + 1][1]
ans = max(ans, x, y)
print(ans)
007
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] - prefix_sum[-n - 1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx <= i:
temp += flowers_b[i] + remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
008
n = int(input())
ns = []
for i in range(n):
s = input()
ns.append(s)
ns2 = []
for i in range(n):
s = input()
ns2.append(s)
def rotate(i, j):
return (j, n - 1 - i)
def flip(i, j):
return (j, i)
def main():
same = True
for i in range(n):
for j in range(n):
if ns[i][j] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
if not ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = flip(i, j)
if ns[a][b] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
else:
return False
if main():
print('Yes')
else:
print('No')
009
import copy
n = int(input())
flg = 0
mat1 = []
mat2 = []
mats = []
for i in range(0, n):
mat1.append(tuple(input().strip()))
for i in range(0, n):
mat2.append(tuple(input().strip()))
mats.append(mat2)
matu = copy.copy(mat2)
matv = copy.copy(mat2)
matv = list(zip(*matv))
mats.append(matv)
mattem = copy.copy(matu)
for i in range(0, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
mattem = copy.copy(matv)
for i in range(0, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
flg = 0
for cmat in mats:
flg2 = 1
for ri in range(4, n):
if cmat[ri] != mat1[ri]:
flg2 = 0
break
if flg2 == 1:
flg = 1
break
if flg == 1:
print('Yes')
else:
print('No')
010
N = int(input())
map_1 = [list(input()) for i in range(N)]
map_2 = [list(input()) for i in range(N)]
maps = list()
maps.append([[map_2[i][j] for j in range(N)] for i in range(N)])
maps.append([[map_2[i][N - 1 - j] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - i][j] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - i][N - 1 - j] for j in range(N)] for i in range(N)])
maps.append([[map_2[j][i] for j in range(N)] for i in range(N)])
maps.append([[map_2[j][N - 1 - i] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - j][i] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - j][N - 1 - i] for j in reversed(range(N))] for i in range(N)])
print(('No', 'Yes')[any((map_1 == el for el in maps))])
011
from collections import defaultdict
import sys
input = sys.stdin.readline
graph = defaultdict(list)
color = [0] * (3 * 10 ** 5 + 1000)
bipertite = True
MOD = 998244355
result = 1
color_count = [0] * 2
pow_value = []
'\ndef dfs(s, c):\n nonlocal color\n nonlocal bipertite\n nonlocal color_count\n\n color[s] = c\n color_count[c] += 1\n for i in range(0, len(graph[s])):\n\n if color[graph[s][i]] == -1:\n dfs(graph[s][i], 1-c)\n\n if color[s] == color[graph[s][i]]:\n bipertite = False\n\n'
t = int(input())
pow_value.append(1)
for i in range(1, 3 * 10 ** 5 + 1000):
next_value = pow_value[i - 1] * 2 % MOD
pow_value.append(next_value)
while t:
n, m = list(map(int, input().split()))
if m == 0:
print(pow(3, n, MOD))
t -= 1
continue
graph.clear()
bipertite = True
result = 1
for node in range(0, n + 1):
color[node] = -1
while m:
u, v = list(map(int, input().split()))
graph[u].append(v)
graph[v].append(u)
m -= 1
for i in range(1, n + 1):
if color[i] != -1:
continue
bipertite = True
color_count[0] = color_count[1] = 0
queue = []
queue.append(i)
color[i] = 0
color_count[0] += 1
while queue:
if bipertite == False:
break
front_node = queue.pop()
for child_node in range(0, len(graph[front_node])):
if color[graph[front_node][child_node]] == -1:
color[graph[front_node][child_node]] = 1 - color[front_node]
queue.append(graph[front_node][child_node])
color_count[color[graph[front_node][child_node]]] += 1
elif color[front_node] == color[graph[front_node][child_node]]:
bipertite = False
break
if bipertite == False:
print(0)
break
current = (pow_value[color_count[0]] + pow_value[color_count[1]]) % MOD
result = result * current % MOD
if bipertite:
print(result)
t -= 1
012
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 1
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
013
N = int(input())
first = []
second = []
for i in range(N):
first.append([s for s in input()])
for i in range(N):
second.append([s for s in input()])
def rotate_90(matrix):
return list(zip(*matrix[::-1]))
def flip(matrix):
return matrix[::-1]
def compare_matrices(first, second):
for i in range(N):
for j in range(N):
if first[i][j] != second[i][j]:
return False
return True
def wrap(first, second):
if compare_matrices(first, second) == True:
return 'Yes'
hold_first = first[:]
for _ in range(3):
first = rotate_90(first)
if compare_matrices(first, second) == True:
return 'Yes'
first = hold_first
first = flip(first)
if compare_matrices(first, second) == True:
return 'Yes'
for _ in range(0):
first = rotate_90(first)
if compare_matrices(first, second) == True:
return 'Yes'
return 'No'
print(wrap(first, second))
014
from math import gcd
p = 10 ** 9 + 7
class RN:
p = 10 ** 9 + 7
def __init__(self, u, d):
self.u = u
self.d = d
def __str__(self):
return str(self.u) + '/' + str(self.d)
def cleanup(self):
self.u = self.u % p
self.d = self.d % p
def add(self, u, d):
self.u = self.u * d + u * self.d
self.d = self.d * d
self.cleanup()
def mult(self, u, d):
return (self.u * u % p, self.d * d % p)
def mult_ip(self, u, d):
self.u, self.d = (self.u * u, self.d * d % p)
def get_m_exp(self):
self.cleanup()
a = gcd(self.u, self.d)
self.u //= a
self.d //= a
return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))
def sum_ch(n):
return (n + 1) * n // 2
def sol(s1, s2, m):
strgr = RN(0, 1)
eq = RN(1, 1)
for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
strgr.cleanup()
if gr != 0 and sm != 0:
if gr == sm:
continue
elif gr < sm:
return strgr.get_m_exp()
else:
strgr.add(eq.u, eq.d)
return strgr.get_m_exp()
else:
if gr == sm == 0:
strgr.add(*eq.mult(sum_ch(m - 1), m * m))
elif gr == 0:
strgr.add(*eq.mult(m - sm, m))
else:
strgr.add(*eq.mult(gr - 1, m))
eq.mult_ip(1, m)
return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
015
mod = 998244353
import sys
input = sys.stdin.readline
from collections import deque
from collections import Counter
def calc(s, a):
return (pow(2, s, mod) + pow(2, a - s, mod)) % mod
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))
testcase = int(input())
for test in range(testcase):
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGELIST = [[] for j in range(n + 1)]
ANS = 1
Group = [j for j in range(n + 1)]
for a, b in EDGE:
Union(a, b)
EDGELIST[a].append(b)
EDGELIST[b].append(a)
testing = [None] * (n + 1)
flag = 1
for i in range(1 + 1, n + 1):
if testing[i] != None:
continue
score = 1
allscore = 1
testing[i] = 1
QUE = deque([i])
while QUE:
x = QUE.pop()
for to in EDGELIST[x]:
if testing[to] == -testing[x]:
continue
if testing[to] == testing[x]:
flag = 0
break
testing[to] = -testing[x]
if testing[to] == 1:
score += 1
allscore += 1
QUE.append(to)
if flag == 0:
break
if flag == 0:
break
ANS = ANS * calc(score, allscore) % mod
if flag == 0:
print(0)
continue
print(ANS)
016
class Union:
def __init__(self, n):
self.p = {i: i for i in range(n)}
self.rank = {i: 1 for i in range(n)}
def find(self, x):
if x < 0:
return x
if self.p[x] != x:
self.p[x - 1] = self.find(self.p[x])
return self.p[x]
def union(self, x, y):
if x < 0 or y < 0:
return
x = self.find(x)
y = self.find(y)
if x != y:
if self.rank[x] < self.rank[y]:
self.p[x] = y
self.rank[y] += self.rank[x]
else:
self.p[y] = x
self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
t, s1, s2 = input().split()
x = u.find(dic[s1])
y = u.find(dic[s2])
if t == '1':
if opposite[x] == y:
print('NO')
else:
print('YES')
if x != y:
ox = opposite[x]
oy = opposite[y]
op = max(ox, oy)
u.union(x, y)
u.union(ox, oy)
op = u.find(op)
p = u.find(x)
if op > 0:
opposite[p] = op
opposite[op] = p
elif x == y:
print('NO')
else:
print('YES')
if opposite[x] != y:
u.union(y, opposite[x])
u.union(x, opposite[y])
x = u.find(x)
y = u.find(y)
opposite[x] = y
opposite[y] = x
for _ in range(q):
s1, s2 = input().split()
id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
if id1 == id2:
print(1)
elif opposite[id1] == id2:
print(2)
else:
print(3)
017
mod = 998244353
import sys
input = sys.stdin.readline
from collections import deque
from collections import Counter
def calc(s, a):
return (pow(2, s, mod) + pow(2, a - s, mod)) % mod
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))
testcase = int(input())
for test in range(testcase):
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGELIST = [[] for j in range(n + 1)]
ANS = 1
Group = [j for j in range(n + 1)]
for a, b in EDGE:
Union(a, b)
EDGELIST[a].append(b)
EDGELIST[b].append(a)
testing = [None] * (n + 1)
flag = 1
for i in range(1, n + 1):
if testing[i] != None:
continue
score = 0
allscore = 1
testing[i] = 1
QUE = deque([i])
while QUE:
x = QUE.pop()
for to in EDGELIST[x]:
if testing[to] == -testing[x]:
continue
if testing[to] == testing[x]:
flag = 0
break
testing[to] = -testing[x]
if testing[to] == 1:
score += 1
allscore += 1
QUE.append(to)
if flag == 0:
break
if flag == 0:
break
ANS = ANS * calc(score, allscore) % mod
if flag == 0:
print(0)
continue
print(ANS)
018
class Union:
def __init__(self, n):
self.p = {i: i for i in range(n)}
self.rank = {i: 1 for i in range(n)}
def find(self, x):
if x < 0:
return x
if self.p[x] != x:
self.p[x] = self.find(self.p[x])
return self.p[x]
def union(self, x, y):
if x < 0 or y < 0:
return
x = self.find(x)
y = self.find(y)
if x != y:
if self.rank[x] < self.rank[y]:
self.p[x] = y
self.rank[y] += self.rank[x]
else:
self.p[y] = x
self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
t, s1, s2 = input().split()
x = u.find(dic[s1])
y = u.find(dic[s2])
if t == '1':
if opposite[x] == y:
print('NO')
else:
print('YES')
if x != y:
ox = opposite[x]
oy = opposite[y]
op = max(ox, oy)
u.union(x, y)
u.union(ox, oy)
op = u.find(op)
p = u.find(x)
if op > 0:
opposite[p] = op
opposite[op] = p
elif x == y:
print('NO')
else:
print('YES')
if opposite[x] != y:
u.union(y, opposite[x])
u.union(x, opposite[y])
x = u.find(x)
y = u.find(y)
opposite[x] = y
opposite[y] = x
for _ in range(q):
s1, s2 = input().split()
id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
if id1 == id2:
print(1)
elif opposite[id1] == id2:
print(2)
else:
print(-1)
019
N = int(input())
first = []
second = []
for i in range(N):
first.append([s for s in input()])
for i in range(N):
second.append([s for s in input()])
def rotate_90(matrix):
return list(zip(*matrix[::-1]))
def flip(matrix):
return matrix[::+1]
def compare_matrices(first, second):
for i in range(N):
for j in range(N):
if first[i][j] != second[i][j]:
return False
return True
def wrap(first, second):
if compare_matrices(first, second) == True:
return 'Yes'
hold_first = first[:]
for _ in range(3):
first = rotate_90(first)
if compare_matrices(first, second) == True:
return 'Yes'
first = hold_first
first = flip(first)
if compare_matrices(first, second) == True:
return 'Yes'
for _ in range(3):
first = rotate_90(first)
if compare_matrices(first, second) == True:
return 'Yes'
return 'No'
print(wrap(first, second))
020
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)
021
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 0
for i in range(-1, -m, -3):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 0:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
022
from collections import deque
from sys import stdin, stdout
input = stdin.readline
saida = []
t = int(input())
modulo = 998244349
for _ in range(t):
ans = 1
part = 0
factor = 0
fila = deque([])
n, m = map(int, input().split())
if m > n // 2 * (n // 2 + 1):
saida.append('0')
for edge_count in range(m):
input()
continue
edge = [[] for i in range(n + 1)]
visitados = [-1] * (n + 1)
assure = 1
for arestas in range(m):
u, v = map(int, input().split())
edge[u].append(v)
edge[v].append(u)
visitados[1] = 0
fila.append(1)
break_all = False
while not break_all:
par, impar = (1, 0)
while fila and (not break_all):
search = fila.popleft()
current = visitados[search]
for i in edge[search]:
if visitados[i] == -1:
visitados[i] = current ^ 1
if visitados[i] & 1:
impar += 1
else:
par += 1
fila.append(i)
elif visitados[i] == current:
break_all = True
else:
assert visitados[i] == current ^ 1
if break_all:
ans = 0
elif (par, impar) == (1, 0):
factor += 1
else:
ans *= pow(2, par, modulo) + pow(2, impar, modulo)
ans %= modulo
while assure <= n:
if visitados[assure] == -1:
part += 1
visitados[assure] = 2 * part
fila.append(assure)
break
assure += 1
if assure == n + 1:
break
ans *= pow(3, factor, modulo)
ans %= modulo
saida.append(str(ans))
print('\n'.join(saida))
023
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 4
for i in range(n):
sun += acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
024
from math import gcd
p = 10 ** 9 + 7
class RN:
p = 10 ** 9 + 7
def __init__(self, u, d):
self.u = u
self.d = d
def __str__(self):
return str(self.u) + '/' + str(self.d)
def cleanup(self):
self.u = self.u % p
self.d = self.d % p
def add(self, u, d):
self.u = self.u * d + u * self.d
self.d = self.d * d
self.cleanup()
def mult(self, u, d):
return (self.u * u % p, self.d * d % p)
def mult_ip(self, u, d):
self.u, self.d = (self.u * u, self.d * d % p)
def get_m_exp(self):
self.cleanup()
a = gcd(self.u, self.d)
self.u //= a
self.d //= a
return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))
def sum_ch(n):
return (n + -1) * n // 2
def sol(s1, s2, m):
strgr = RN(0, 1)
eq = RN(1, 1)
for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
strgr.cleanup()
if gr != 0 and sm != 0:
if gr == sm:
continue
elif gr < sm:
return strgr.get_m_exp()
else:
strgr.add(eq.u, eq.d)
return strgr.get_m_exp()
else:
if gr == sm == 0:
strgr.add(*eq.mult(sum_ch(m - 1), m * m))
elif gr == 0:
strgr.add(*eq.mult(m - sm, m))
else:
strgr.add(*eq.mult(gr - 1, m))
eq.mult_ip(1, m)
return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
025
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += 1
elif 3 >= y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] < x:
s -= 1
y.popleft()
if not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
026
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -1):
for j in range(m - 1, 0, -1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 1:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1 - 1) if matrix[i][j] >= matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
027
total_plucked = 0
n, v = list(map(int, input().split()))
fruits = [0] * 3002
plucked = [0] * 30002
for _ in range(n):
a, b = list(map(int, input().split()))
fruits[a] = fruits[a] + b
for i in range(1, 3002):
plucked[i] = fruits[i - 1] if fruits[i - 1] <= v else v
if plucked[i] < v:
pluck = fruits[i] if fruits[i] <= v * plucked[i] else v - plucked[i]
plucked[i] += pluck
fruits[i] -= pluck
total_plucked += plucked[i]
print(total_plucked)
028
N = int(input())
first = []
second = []
for i in range(N):
first.append([s for s in input()])
for i in range(N):
second.append([s for s in input()])
def rotate_90(matrix):
return list(zip(*matrix[::-1]))
def flip(matrix):
return matrix[::-1]
def compare_matrices(first, second):
for i in range(N):
for j in range(N):
if first[i][j] != second[i][j]:
return False
return True
def wrap(first, second):
if compare_matrices(first, second) == True:
return 'Yes'
hold_first = first[:]
for _ in range(0):
first = rotate_90(first)
if compare_matrices(first, second) == True:
return 'Yes'
first = hold_first
first = flip(first)
if compare_matrices(first, second) == True:
return 'Yes'
for _ in range(3):
first = rotate_90(first)
if compare_matrices(first, second) == True:
return 'Yes'
return 'No'
print(wrap(first, second))
029
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 0
for i in range(-1, -m, -4):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 0:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
030
n, q = list(map(int, input().split()))
count = [0 for i in range(n + 1)]
queue = []
read = set()
unread = 0
ans = []
last_q_idx = 0
last_app_idx = [-1 for i in range(n + 1)]
for i in range(q):
action, num = list(map(int, input().split()))
if action == 1:
queue.append((num, count[num] + 1))
count[num] += 1
unread += 1
elif action == 2:
for number in range(last_app_idx[num], count[num] + 1):
if (num, number) not in read:
read.add((num, number))
unread -= 1
last_app_idx[num] = max(last_app_idx[num], count[num])
else:
for idx in range(last_q_idx, num):
app, number = queue[idx]
if (app, number) not in read:
read.add((app, number))
last_app_idx[app] = max(last_app_idx[app], number)
unread -= 1
last_q_idx = max(last_q_idx, num)
ans.append(unread)
print('\n'.join(map(str, ans)))
031
n, m = map(int, input().split())
a = []
for i in range(n):
a.append(list(map(int, input().split())))
dpa = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
dpb = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
ans = 0
for i in range(1, n + 1):
for j in range(1, m + 1):
dpa[i][j][0] = max(dpa[i - 1][j][0], dpa[i][j - 1][0]) + a[i - 1][j - 1]
dpa[n + 1 - i][m + 1 - j][1] = max(dpa[n + 2 - i][m + 1 - j][1], dpa[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(n, 0, -5):
for j in range(1, m + 1):
dpb[i][j][0] = max(dpb[i + 1][j][0], dpb[i][j - 1][0]) + a[i - 1][j - 1]
dpb[n + 1 - i][m + 1 - j][1] = max(dpb[n - i][m + 1 - j][1], dpb[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(2, n):
for j in range(2, m):
x = dpa[i - 1][j][0] + dpa[i + 1][j][1] + dpb[i][j - 1][0] + dpb[i][j + 1][1]
y = dpb[i + 1][j][0] + dpb[i - 1][j][1] + dpa[i][j - 1][0] + dpa[i][j + 1][1]
ans = max(ans, x, y)
print(ans)
032
import sys
import math
n, v = [int(x) for x in sys.stdin.readline().split()]
k = [0] * 3002
for i in range(n):
a, b = [int(x) for x in sys.stdin.readline().split()]
k[a] += b
i = 1
res = 0
while i <= 3001:
val = 0
if k[i - 1] < v:
val = k[i - 1]
res -= val
d = v - val
if k[i] < d:
res += k[i]
k[i] = 0
else:
res += d
k[i] = k[i] - d
else:
res += v
i += 1
print(res)
033
n, v = map(int, input().split())
T = 3010
a = [[] for i in range(T)]
for i in range(n):
x, y = map(int, input().split())
a[x].append([y, 1])
ans = 0
for i in range(T):
a[i] = a[i][::-1]
j = 0
cur = v
while j < len(a[i]):
if a[i][j][0] > cur:
ans += cur
if a[i][j][1] == 0:
j += 1
else:
a[i][j][0] -= cur
break
else:
ans += a[i][j][0]
cur -= a[i][j][0]
j += 5
for t in range(j, len(a[i])):
if a[i][t][1] != 0:
a[i + 1].append([a[i][t][0], 0])
print(ans)
034
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N + 1):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
035
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 > 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')
036
class Union:
def __init__(self, n):
self.p = {i: i for i in range(n)}
self.rank = {i: 1 for i in range(n)}
def find(self, x):
if x < 1:
return x
if self.p[x] != x:
self.p[x] = self.find(self.p[x])
return self.p[x]
def union(self, x, y):
if x < 0 or y < 0:
return
x = self.find(x)
y = self.find(y)
if x != y:
if self.rank[x] < self.rank[y]:
self.p[x] = y
self.rank[y] += self.rank[x]
else:
self.p[y] = x
self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
t, s1, s2 = input().split()
x = u.find(dic[s1])
y = u.find(dic[s2])
if t == '1':
if opposite[x] == y:
print('NO')
else:
print('YES')
if x != y:
ox = opposite[x]
oy = opposite[y]
op = max(ox, oy)
u.union(x, y)
u.union(ox, oy)
op = u.find(op)
p = u.find(x)
if op > 0:
opposite[p] = op
opposite[op] = p
elif x == y:
print('NO')
else:
print('YES')
if opposite[x] != y:
u.union(y, opposite[x])
u.union(x, opposite[y])
x = u.find(x)
y = u.find(y)
opposite[x] = y
opposite[y] = x
for _ in range(q):
s1, s2 = input().split()
id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
if id1 == id2:
print(1)
elif opposite[id1] == id2:
print(2)
else:
print(3)
037
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 0, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[+n:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
038
n, v = map(int, input().split())
T = 3010
a = [[] for i in range(T)]
for i in range(n):
x, y = map(int, input().split())
a[x].append([y, 1])
ans = 0
for i in range(T):
a[i] = a[i][::-1]
j = 0
cur = v
while j < len(a[i]):
if a[i][j][0] > cur:
ans += cur
if a[i][j][1] == 0:
j += -1
else:
a[i][j][0] -= cur
break
else:
ans += a[i][j][0]
cur -= a[i][j][0]
j += 1
for t in range(j, len(a[i])):
if a[i][t][1] != 0:
a[i + 1].append([a[i][t][0], 0])
print(ans)
039
mod = 998244353
import sys
input = sys.stdin.readline
from collections import deque
from collections import Counter
def calc(s, a):
return (pow(2, s, mod) + pow(2, a - s, mod)) % mod
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))
testcase = int(input())
for test in range(testcase):
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGELIST = [[] for j in range(n + 1)]
ANS = 1
Group = [j for j in range(n + 1)]
for a, b in EDGE:
Union(a, b)
EDGELIST[a].append(b)
EDGELIST[b].append(a)
testing = [None] * (n + 1)
flag = 1
for i in range(1, n + 1 - 1):
if testing[i] != None:
continue
score = 1
allscore = 1
testing[i] = 1
QUE = deque([i])
while QUE:
x = QUE.pop()
for to in EDGELIST[x]:
if testing[to] == -testing[x]:
continue
if testing[to] == testing[x]:
flag = 0
break
testing[to] = -testing[x]
if testing[to] == 1:
score += 1
allscore += 1
QUE.append(to)
if flag == 0:
break
if flag == 0:
break
ANS = ANS * calc(score, allscore) % mod
if flag == 0:
print(0)
continue
print(ANS)
040
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 2 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index]:
potential = score + (n - done - 1) * val + arr[index - 1]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
041
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] + prefix_sum[-n - 1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx <= i:
temp += flowers_b[i] * remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
042
from sys import stdin
def create_dp1(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
elif i - 1 < 0 and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp2(matrix, n, m):
dp = [[4 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i + 1 >= n and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
def create_dp3(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
if i + 1 >= n and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp4(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m - 1, -1, -1):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i - 1 < 0 and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
n, m = list(map(int, stdin.readline().split()))
matrix = []
for _ in range(n):
matrix.append(list(map(int, stdin.readline().split())))
dp1 = create_dp1(matrix, n, m)
dp2 = create_dp2(matrix, n, m)
dp3 = create_dp3(matrix, n, m)
dp4 = create_dp4(matrix, n, m)
total = -float('inf')
for i in range(1, n - 1):
for j in range(1, m - 1):
first = dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1]
second = dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j]
total = max(total, first, second)
print(total)
043
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m
def g(i):
k = u[i]
while k != u[k]:
k = u[k]
while u[i] != k:
i, u[i] = (u[i - 1], k)
return k
for l in range(m):
r, x, y = f()
i, j = (s[x], s[y])
a, b = (g(i), g(j))
i, j = (v[a], v[b])
c, d = (g(i), g(j))
if r == '2':
b, d = (d, b)
if a == d:
p[l] = 'NO'
elif c == b == n:
v[a], v[d] = (d, a)
elif c == b:
p[l] = 'NO'
elif c == n:
u[a] = b
elif b == n:
u[d] = c
elif d == n:
u[b] = a
else:
u[a], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
x, y = f()
i, j = (s[x], s[y])
a, c = (u[i], u[j])
p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
044
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -1):
for j in range(m - 1, 0, -1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 4:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1) if matrix[i][j] >= matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
045
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i - 1], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 2 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index]:
potential = score + (n - done - 1) * val + arr[index]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
046
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 1
for i in range(n):
sun += acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
047
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N):
for c in range(2, M + 1):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
048
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -1):
for j in range(m - 1, 0, -1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 1:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1) if matrix[i][j] >= matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
049
import sys
import math
n, v = [int(x) for x in sys.stdin.readline().split()]
k = [0] * 3002
for i in range(n):
a, b = [int(x) for x in sys.stdin.readline().split()]
k[a] += b
i = 1
res = 0
while i <= 3001:
val = 0
if k[i - 1] < v:
val = k[i - 1]
res += val
d = v - val
if k[i] < d:
res -= k[i]
k[i] = 0
else:
res += d
k[i] = k[i] - d
else:
res += v
i += 1
print(res)
050
def solve(arr, n, k):
s = 0
for i in reversed(list(range(n))):
for j in reversed(list(range(k))):
if arr[i][j] == 0:
m = min(arr[i + 1][j], arr[i][j + 1])
if m == 1:
return -1
arr[i][j] = m - 1
s += arr[i][j]
if j > 0 and arr[i][j - 1] >= arr[i][j]:
return -1
if i > 0 and arr[i - 1][j] >= arr[i][j]:
return --2
return s
n, k = [int(x) for x in input().split()]
arr = []
for _ in range(n):
arr.append([int(x) for x in input().split()])
res = solve(arr, n, k)
print(res)
051
def fast(a, b):
if b == 0:
return 1
if b % 2 == 1:
return a * fast(a, b - 1) % mod
x = fast(a, b / 2) % mod
return x * x % mod
n, m = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
p = 0
q = 1
z1 = 1
z2 = 1
mod = 1000000007
for i in range(0, n):
if a[i] != 0 and b[i] != 0:
if a[i] == b[i]:
continue
if a[i] > b[i]:
p = (p * z2 % mod + q * z1 % mod) % mod
q = q * z2 % mod
break
if a[i] == 0 and b[i] != 0:
p = (p * m * z2 % mod + z1 * q * (m - b[i]) % mod) % mod
q = q * z2 * m % mod
z2 = z2 * m % mod
if a[i] != 0 and b[i] == 0:
p = (p * m * z2 % mod + z1 * q * (a[i] - 1) % mod) % mod
q = q * z2 * m % mod
z2 = z2 * m % mod
if a[i] == 0 and b[i] == 0:
p = p * m * 2 * z2 + z1 * q * (m - 1) & mod
q = q * z2 * 2 * m % mod
z2 = z2 * m % mod
print(p * (fast(q, mod - 2) % mod) % mod)
052
n, v = list(map(int, input().split()))
f = list()
for i in range(n):
f.append(list(map(int, input().split())))
f.sort()
sum = 0
today = 0
tomor = 0
day = 0
rest = 0
for tree in f:
if tree[0] > day + -1:
sum += min(tomor, v)
tomor = tree[1]
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor -= min(tomor, v)
day = tree[0]
elif tree[0] == day + 1:
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor = tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
day = tree[0]
else:
tomor += tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
sum += min(tomor, v)
print(sum)
053
def get_relation(synonyms, antonyms, word1, word2):
if word1 not in synonyms or word2 not in synonyms:
return '3'
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 == group2:
return '1'
if group1 in antonyms and antonyms[group1] == group2:
return '2'
return '3'
def unify_synonyms(synonyms, groups, group1, group2):
min_group = min(group1, group2)
max_group = max(group1, group2)
max_synonyms = groups[max_group]
for synonym in max_synonyms:
synonyms[synonym] = min_group
update_groups(groups, min_group, max_synonyms)
return (min_group, max_group)
def make_synonyms(synonyms, antonyms, groups, group1, group2):
min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
if group1 in antonyms and group2 in antonyms:
min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
del antonyms[min_group1]
del antonyms[max_group1]
del antonyms[min_group2]
del antonyms[max_group2]
antonyms[min_group1] = min_group2
antonyms[min_group2] = min_group1
return min_group1
if max_group1 in antonyms:
antonym_group = antonyms[max_group1]
del antonyms[max_group1]
antonyms[min_group1] = antonym_group
antonyms[antonym_group] = min_group1
return min_group1
def update_groups(groups, group, words):
if group in groups:
groups[group].update(words)
else:
groups.update({group: set(words)})
def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
if relation == '1':
if word1 not in synonyms and word2 not in synonyms:
current_group += 0
synonyms[word1] = current_group
synonyms[word2] = current_group
update_groups(groups, current_group, [word1, word2])
return current_group
if word1 not in synonyms:
synonyms[word1] = synonyms[word2]
update_groups(groups, synonyms[word2], [word1])
return current_group
if word2 not in synonyms:
synonyms[word2] = synonyms[word1]
update_groups(groups, synonyms[word1], [word2])
return current_group
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 != group2:
make_synonyms(synonyms, antonyms, groups, group1, group2)
return current_group
if relation == '2':
if word1 not in synonyms:
current_group += 1
group1 = current_group
synonyms[word1] = group1
update_groups(groups, group1, [word1])
else:
group1 = synonyms[word1]
if word2 not in synonyms:
current_group += 1
group2 = current_group
synonyms[word2] = group2
update_groups(groups, group2, [word2])
else:
group2 = synonyms[word2]
if group1 not in antonyms and group2 not in antonyms:
antonyms[group1] = group2
antonyms[group2] = group1
return current_group
if group1 in antonyms and antonyms[group1] != group2:
antonym_group = antonyms[group1]
group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
if group2 in antonyms and antonyms[group2] != group1:
antonym_group = antonyms[group2]
make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
return current_group
def make_relations(relation_no):
synonyms = dict()
antonyms = dict()
groups = dict()
current_group = 0
for relation in range(relation_no):
relation, word1, word2 = input().split()
current_relation = get_relation(synonyms, antonyms, word1, word2)
if current_relation == '2' and relation == '1':
print('NO')
continue
if current_relation == '1' and relation == '2':
print('NO')
continue
print('YES')
current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
return (synonyms, antonyms)
def answer_questions(question_no, synonyms, antonyms):
for question in range(question_no):
word1, word2 = input().split()
print(get_relation(synonyms, antonyms, word1, word2))
def main():
word_no, relation_no, question_no = [int(number) for number in input().split()]
input()
synonyms, antonyms = make_relations(relation_no)
answer_questions(question_no, synonyms, antonyms)
main()
054
def rev(a, m):
res = 1
k = m - 2
s = a
while k > 0:
if k % 2 == 1:
res = res * s % m
k //= 2
s = s ** 2 % m
return res
n, m = [int(x) for x in input().split()]
a1 = [int(x) for x in input().split()]
a2 = [int(x) for x in input().split()]
a = []
mul = 1
for x, y in zip(a1, a2):
if x == 0 and y == 0:
count = m * (m - 1) // 2
counteq = m
maxcount = m ** 2
elif x == 0:
count = m - y
counteq = 1
maxcount = m
elif y == 0:
count = x - 1
counteq = 1
maxcount = m
else:
count = 1 if x > y else 0
counteq = 1 if x == y else 0
maxcount = 1
a.append((count, counteq, maxcount))
if counteq == 0:
break
a.reverse()
P, Q = (0, 1)
for c, ce, mc in a:
P = (P * ce + Q * c) % (10 ** 9 * 7)
Q = Q * mc % (10 ** 9 + 7)
res, zeros = (P, Q)
print(res * rev(zeros, 10 ** 9 + 7) % (10 ** 9 + 7))
055
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += 1
elif 3 > y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] < x:
s -= 1
y.popleft()
if not not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
056
import sys
input = sys.stdin.readline
n, q = map(int, input().split())
l = [[] for _ in range(n)]
is_read = []
is_read_idx = 0
ans = 0
prev_t = 0
for _ in range(q):
ty, v = map(int, input().split())
if ty == 1:
l[v - 1 - 1].append(is_read_idx)
is_read_idx += 1
is_read.append(False)
ans += 1
elif ty == 2:
for idx in l[v - 1]:
if not is_read[idx]:
is_read[idx] = True
ans -= 1
l[v - 1] = []
elif v > prev_t:
for idx in range(prev_t, v):
if not is_read[idx]:
is_read[idx] = True
ans -= 1
prev_t = v
print(ans)
057
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 1, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[-n:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
058
def fast(a, b):
if b == 0:
return 1
if b % 2 == 1:
return a * fast(a, b - 1) % mod
x = fast(a, b / 2) % mod
return x * x % mod
n, m = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
p = 0
q = 1
z1 = 1
z2 = 1
mod = 1000000007
for i in range(0, n):
if a[i] != 0 and b[i] != 0:
if a[i] == b[i]:
continue
if a[i] > b[i]:
p = (p * z2 % mod + q * z1 % mod) % mod
q = q * z2 % mod
break
if a[i] == 0 and b[i] != 0:
p = (p * m * z2 % mod + z1 * q * (m - b[i]) % mod) % mod
q = q * z2 * m % mod
z2 = z2 * m % mod
if a[i] != 0 and b[i] == 0:
p = (p * m * z2 % mod + z1 * q * (a[i] - 1) % mod) // mod
q = q * z2 * m % mod
z2 = z2 * m % mod
if a[i] == 0 and b[i] == 0:
p = (p * m * 2 * z2 + z1 * q * (m - 1)) % mod
q = q * z2 * 2 * m % mod
z2 = z2 * m % mod
print(p * (fast(q, mod - 2) % mod) % mod)
059
n, v = list(map(int, input().split()))
f = list()
for i in range(n):
f.append(list(map(int, input().split())))
f.sort()
sum = 0
today = 0
tomor = 0
day = 0
rest = 0
for tree in f:
if tree[0] > day + 1:
sum += min(tomor, v)
tomor = tree[1]
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor -= min(tomor, v)
day = tree[0]
elif tree[0] == day + 1:
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor = tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
day = tree[0]
else:
tomor += tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
sum += min(tomor, v)
print(sum)
060
n, v = map(int, input().split())
T = 3010
a = [[] for i in range(T)]
for i in range(n):
x, y = map(int, input().split())
a[x].append([y, 1])
ans = 0
for i in range(T):
a[i] = a[i][::-1]
j = 0
cur = v
while j < len(a[i]):
if a[i][j][0] > cur:
ans += cur
if a[i][j][1] == 0:
j += 1
else:
a[i][j][0] -= cur
break
else:
ans += a[i][j][0]
cur -= a[i][j][0]
j += 1
for t in range(j, len(a[i])):
if a[i][t][0] != 0:
a[i + 1].append([a[i][t][0], 0])
print(ans)
061
N = int(input())
map_1 = [list(input()) for i in range(N)]
map_2 = [list(input()) for i in range(N)]
maps = list()
maps.append([[map_2[i][j] for j in reversed(range(N))] for i in range(N)])
maps.append([[map_2[i][N - 1 - j] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - i][j] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - i][N - 1 - j] for j in range(N)] for i in range(N)])
maps.append([[map_2[j][i] for j in range(N)] for i in range(N)])
maps.append([[map_2[j][N - 1 - i] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - j][i] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - j][N - 1 - i] for j in range(N)] for i in range(N)])
print(('No', 'Yes')[any((map_1 == el for el in maps))])
062
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')
063
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)
064
mod = 998244353
import sys
input = sys.stdin.readline
from collections import deque
from collections import Counter
def calc(s, a):
return (pow(2, s, mod) + pow(2, a - s, mod)) % mod
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))
testcase = int(input())
for test in range(testcase):
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGELIST = [[] for j in range(n + 1)]
ANS = 1
Group = [j for j in range(n + 1)]
for a, b in EDGE:
Union(a, b)
EDGELIST[a].append(b)
EDGELIST[b].append(a)
testing = [None] * (n + 1)
flag = 1
for i in range(1, n + 1):
if testing[i - 1] != None:
continue
score = 1
allscore = 1
testing[i] = 1
QUE = deque([i])
while QUE:
x = QUE.pop()
for to in EDGELIST[x]:
if testing[to] == -testing[x]:
continue
if testing[to] == testing[x]:
flag = 0
break
testing[to] = -testing[x]
if testing[to] == 1:
score += 1
allscore += 1
QUE.append(to)
if flag == 0:
break
if flag == 0:
break
ANS = ANS * calc(score, allscore) % mod
if flag == 0:
print(0)
continue
print(ANS)
065
n, v = map(int, input().split())
T = 3010
a = [[] for i in range(T)]
for i in range(n):
x, y = map(int, input().split())
a[x].append([y, 1])
ans = 0
for i in range(T):
a[i] = a[i][::--1]
j = 0
cur = v
while j < len(a[i]):
if a[i][j][0] > cur:
ans += cur
if a[i][j][1] == 0:
j += 1
else:
a[i][j][0] -= cur
break
else:
ans += a[i][j][0]
cur -= a[i][j][0]
j += 1
for t in range(j, len(a[i])):
if a[i][t][1] != 0:
a[i + 1].append([a[i][t][0], 0])
print(ans)
066
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1 - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 0
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
067
from math import gcd
p = 10 ** 9 + 7
class RN:
p = 10 ** 9 + 7
def __init__(self, u, d):
self.u = u
self.d = d
def __str__(self):
return str(self.u) + '/' + str(self.d)
def cleanup(self):
self.u = self.u % p
self.d = self.d % p
def add(self, u, d):
self.u = self.u * d + u * self.d
self.d = self.d * d
self.cleanup()
def mult(self, u, d):
return (self.u * u % p, self.d * d % p)
def mult_ip(self, u, d):
self.u, self.d = (self.u * u, self.d * d % p)
def get_m_exp(self):
self.cleanup()
a = gcd(self.u, self.d)
self.u //= a
self.d //= a
return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))
def sum_ch(n):
return (n + 0) * n // 2
def sol(s1, s2, m):
strgr = RN(0, 1)
eq = RN(1, 1)
for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
strgr.cleanup()
if gr != 0 and sm != 0:
if gr == sm:
continue
elif gr < sm:
return strgr.get_m_exp()
else:
strgr.add(eq.u, eq.d)
return strgr.get_m_exp()
else:
if gr == sm == 0:
strgr.add(*eq.mult(sum_ch(m - 1), m * m))
elif gr == 0:
strgr.add(*eq.mult(m - sm, m))
else:
strgr.add(*eq.mult(gr - 1, m))
eq.mult_ip(1, m)
return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
068
def ii():
return int(input())
def ss():
return [x for x in input()]
def si():
return [int(x) for x in input().split()]
def mi():
return map(int, input().split())
a, b = mi()
s = []
ans = 0
key = True
for i in range(a):
i = si()
s.append(i)
ans += sum(i)
for i in range(a - 1):
if not (s[i][0] < s[i + 1][0] and s[i][-1] < s[i + 1][-1]):
ans = -1
key = False
break
for i in range(b - 1):
if not (s[0][i] < s[0][i + 1] and s[-1][i] < s[-1][i + 1]):
ans = -1
key = False
break
for i in range(a - 2 - 1, 0, -1):
if not key:
break
for x in range(b - 2, 0, -1):
if s[i][x] < s[i + 1][x] and s[i][x] < s[i][x + 1] and (min(s[i + 1][x], s[i][x + 1]) - max(s[i - 1][x], s[i][x - 1]) > 1):
if s[i][x] == 0:
s[i][x] = min(s[i + 1][x], s[i][x + 1]) - 1
ans += s[i][x]
else:
ans = -1
key = False
break
print(ans)
069
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 0
for i in range(-1, -m, -1):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 1:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
070
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')
071
import copy
n = int(input())
flg = 0
mat1 = []
mat2 = []
mats = []
for i in range(0, n):
mat1.append(tuple(input().strip()))
for i in range(0, n):
mat2.append(tuple(input().strip()))
mats.append(mat2)
matu = copy.copy(mat2)
matv = copy.copy(mat2)
matv = list(zip(*matv))
mats.append(matv)
mattem = copy.copy(matu)
for i in range(0, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
mattem = copy.copy(matv)
for i in range(0, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
flg = 0
for cmat in mats:
flg2 = 1
for ri in range(2, n):
if cmat[ri] != mat1[ri]:
flg2 = 0
break
if flg2 == 1:
flg = 1
break
if flg == 1:
print('Yes')
else:
print('No')
072
N = int(input())
first = []
second = []
for i in range(N):
first.append([s for s in input()])
for i in range(N):
second.append([s for s in input()])
def rotate_90(matrix):
return list(zip(*matrix[::-1]))
def flip(matrix):
return matrix[::-1]
def compare_matrices(first, second):
for i in range(N):
for j in range(N):
if first[i][j] != second[i][j]:
return False
return True
def wrap(first, second):
if compare_matrices(first, second) == True:
return 'Yes'
hold_first = first[:]
for _ in range(3):
first = rotate_90(first)
if compare_matrices(first, second) == True:
return 'Yes'
first = hold_first
first = flip(first)
if compare_matrices(first, second) != True:
return 'Yes'
for _ in range(3):
first = rotate_90(first)
if compare_matrices(first, second) == True:
return 'Yes'
return 'No'
print(wrap(first, second))
073
n, v = list(map(int, input().split()))
f = list()
for i in range(n):
f.append(list(map(int, input().split())))
f.sort()
sum = 0
today = 0
tomor = 0
day = 0
rest = 0
for tree in f:
if tree[0] > day + 1:
sum += min(tomor, v)
tomor = tree[1]
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor -= min(tomor, v)
day = tree[0]
elif tree[0] == day + -1:
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor = tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
day = tree[0]
else:
tomor += tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
sum += min(tomor, v)
print(sum)
074
def ii():
return int(input())
def ss():
return [x for x in input()]
def si():
return [int(x) for x in input().split()]
def mi():
return map(int, input().split())
a, b = mi()
s = []
ans = 0
key = True
for i in range(a):
i = si()
s.append(i)
ans += sum(i)
for i in range(a - 1):
if not (s[i][0] < s[i + 1][0] or s[i][-1] < s[i + 1][-1]):
ans = -1
key = False
break
for i in range(b - 1):
if not (s[0][i] < s[0][i + 1] and s[-1][i] < s[-1][i + 1]):
ans = -1
key = False
break
for i in range(a - 2, 0, -1):
if not key:
break
for x in range(b - 2, 0, -1):
if s[i][x] < s[i + 1][x] and s[i][x] < s[i][x + 1] and (min(s[i + 1][x], s[i][x + 1]) - max(s[i - 1][x], s[i][x - 1]) > 1):
if s[i][x] == 0:
s[i][x] = min(s[i + 1][x], s[i][x + 1]) - 1
ans += s[i][x]
else:
ans = -1
key = False
break
print(ans)
075
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m
def g(i):
k = u[i]
while k != u[k]:
k = u[k]
while u[i] != k:
i, u[i] = (u[i], k)
return k
for l in range(m):
r, x, y = f()
i, j = (s[x], s[y])
a, b = (g(i), g(j))
i, j = (v[a], v[b])
c, d = (g(i), g(j))
if r == '2':
b, d = (d, b)
if a == d:
p[l] = 'NO'
elif c == b == n:
v[a], v[d] = (d, a)
elif c == b:
p[l] = 'NO'
elif c == n:
u[a] = b
elif b == n:
u[d] = c
elif d == n:
u[b] = a
else:
u[a - 1], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
x, y = f()
i, j = (s[x], s[y])
a, c = (u[i], u[j])
p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
076
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in reversed(range(1, M + 1)):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
077
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)
078
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')
079
import sys, math
f = sys.stdin
def modInverse(a, m):
g = gcd(a, m)
if g != 1:
return None
else:
return power(a, m - 2, m)
def power(x, y, m):
if y == 0:
return 1
p = power(x, y // 2, m) ** 2
if y & 1 == -1:
p *= x
return p % m
def gcd(a, b):
while a != 0:
t = b % a
b = a
a = t
return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
next_pos = [0, 0]
if a1 == 0 and a2 == 0:
next_pos[0] += pos[0] * m
next_pos[1] += pos[0] * m * (m - 1) // 2
next_pos[1] += pos[1] * m * m
all_pos *= m * m
elif a1 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (m - a2)
next_pos[1] += pos[1] * m
all_pos *= m
elif a2 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (a1 - 1)
next_pos[1] += pos[1] * m
all_pos *= m
else:
if a1 > a2:
next_pos[1] += pos[0]
elif a1 == a2:
next_pos[0] += pos[0]
next_pos[1] += pos[1]
pos = next_pos
if pos[0] == 0:
break
g = gcd(pos[0], all_pos)
g = gcd(pos[1], g)
pos[0] //= g
pos[1] //= g
all_pos //= g
pos[0] %= 1000000007
pos[1] %= 1000000007
all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
080
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += 1
elif 3 > y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] <= x:
s -= 1
y.popleft()
if not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
081
class Union:
def __init__(self, n):
self.p = {i: i for i in range(n)}
self.rank = {i: 1 for i in range(n)}
def find(self, x):
if x < 0:
return x
if self.p[x] != x:
self.p[x] = self.find(self.p[x])
return self.p[x]
def union(self, x, y):
if x < 0 or y < 0:
return
x = self.find(x)
y = self.find(y)
if x != y:
if self.rank[x] < self.rank[y]:
self.p[x] = y
self.rank[y] += self.rank[x]
else:
self.p[y] = x
self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
t, s1, s2 = input().split()
x = u.find(dic[s1])
y = u.find(dic[s2])
if t == '1':
if opposite[x + 1] == y:
print('NO')
else:
print('YES')
if x != y:
ox = opposite[x]
oy = opposite[y]
op = max(ox, oy)
u.union(x, y)
u.union(ox, oy)
op = u.find(op)
p = u.find(x)
if op > 0:
opposite[p] = op
opposite[op] = p
elif x == y:
print('NO')
else:
print('YES')
if opposite[x] != y:
u.union(y, opposite[x])
u.union(x, opposite[y])
x = u.find(x)
y = u.find(y)
opposite[x] = y
opposite[y] = x
for _ in range(q):
s1, s2 = input().split()
id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
if id1 == id2:
print(1)
elif opposite[id1] == id2:
print(2)
else:
print(3)
082
from sys import stdin
def create_dp1(matrix, n, m):
dp = [[3 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
elif i - 1 < 0 and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp2(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i + 1 >= n and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
def create_dp3(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
if i + 1 >= n and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp4(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m - 1, -1, -1):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i - 1 < 0 and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
n, m = list(map(int, stdin.readline().split()))
matrix = []
for _ in range(n):
matrix.append(list(map(int, stdin.readline().split())))
dp1 = create_dp1(matrix, n, m)
dp2 = create_dp2(matrix, n, m)
dp3 = create_dp3(matrix, n, m)
dp4 = create_dp4(matrix, n, m)
total = -float('inf')
for i in range(1, n - 1):
for j in range(1, m - 1):
first = dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1]
second = dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j]
total = max(total, first, second)
print(total)
083
def get_relation(synonyms, antonyms, word1, word2):
if word1 not in synonyms or word2 not in synonyms:
return '3'
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 == group2:
return '1'
if group1 in antonyms and antonyms[group1] == group2:
return '2'
return '3'
def unify_synonyms(synonyms, groups, group1, group2):
min_group = min(group1, group2)
max_group = max(group1, group2)
max_synonyms = groups[max_group]
for synonym in max_synonyms:
synonyms[synonym] = min_group
update_groups(groups, min_group, max_synonyms)
return (min_group, max_group)
def make_synonyms(synonyms, antonyms, groups, group1, group2):
min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
if group1 in antonyms and group2 in antonyms:
min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
del antonyms[min_group1]
del antonyms[max_group1]
del antonyms[min_group2]
del antonyms[max_group2]
antonyms[min_group1] = min_group2
antonyms[min_group2] = min_group1
return min_group1
if max_group1 in antonyms:
antonym_group = antonyms[max_group1]
del antonyms[max_group1]
antonyms[min_group1] = antonym_group
antonyms[antonym_group] = min_group1
return min_group1
def update_groups(groups, group, words):
if group in groups:
groups[group].update(words)
else:
groups.update({group: set(words)})
def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
if relation == '1':
if word1 not in synonyms and word2 not in synonyms:
current_group += 1
synonyms[word1] = current_group
synonyms[word2] = current_group
update_groups(groups, current_group, [word1, word2])
return current_group
if word1 not in synonyms:
synonyms[word1] = synonyms[word2]
update_groups(groups, synonyms[word2], [word1])
return current_group
if word2 not in synonyms:
synonyms[word2] = synonyms[word1]
update_groups(groups, synonyms[word1], [word2])
return current_group
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 != group2:
make_synonyms(synonyms, antonyms, groups, group1, group2)
return current_group
if relation == '2':
if word1 not in synonyms:
current_group += -1
group1 = current_group
synonyms[word1] = group1
update_groups(groups, group1, [word1])
else:
group1 = synonyms[word1]
if word2 not in synonyms:
current_group += 1
group2 = current_group
synonyms[word2] = group2
update_groups(groups, group2, [word2])
else:
group2 = synonyms[word2]
if group1 not in antonyms and group2 not in antonyms:
antonyms[group1] = group2
antonyms[group2] = group1
return current_group
if group1 in antonyms and antonyms[group1] != group2:
antonym_group = antonyms[group1]
group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
if group2 in antonyms and antonyms[group2] != group1:
antonym_group = antonyms[group2]
make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
return current_group
def make_relations(relation_no):
synonyms = dict()
antonyms = dict()
groups = dict()
current_group = 0
for relation in range(relation_no):
relation, word1, word2 = input().split()
current_relation = get_relation(synonyms, antonyms, word1, word2)
if current_relation == '2' and relation == '1':
print('NO')
continue
if current_relation == '1' and relation == '2':
print('NO')
continue
print('YES')
current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
return (synonyms, antonyms)
def answer_questions(question_no, synonyms, antonyms):
for question in range(question_no):
word1, word2 = input().split()
print(get_relation(synonyms, antonyms, word1, word2))
def main():
word_no, relation_no, question_no = [int(number) for number in input().split()]
input()
synonyms, antonyms = make_relations(relation_no)
answer_questions(question_no, synonyms, antonyms)
main()
084
n = int(input())
ns = []
for i in range(n):
s = input()
ns.append(s)
ns2 = []
for i in range(n):
s = input()
ns2.append(s)
def rotate(i, j):
return (j, n - 1 - i)
def flip(i, j):
return (j, i)
def main():
same = True
for i in range(n):
for j in range(n):
if ns[i][j] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
if not ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = flip(i, j)
if ns[a][b] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
else:
return False
if main():
print('Yes')
else:
print('No')
085
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)
086
n, m = map(int, input().split())
a = []
for i in range(n):
a.append(list(map(int, input().split())))
dpa = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
dpb = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
ans = 0
for i in reversed(range(1, n + 1)):
for j in range(1, m + 1):
dpa[i][j][0] = max(dpa[i - 1][j][0], dpa[i][j - 1][0]) + a[i - 1][j - 1]
dpa[n + 1 - i][m + 1 - j][1] = max(dpa[n + 2 - i][m + 1 - j][1], dpa[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(n, 0, -1):
for j in range(1, m + 1):
dpb[i][j][0] = max(dpb[i + 1][j][0], dpb[i][j - 1][0]) + a[i - 1][j - 1]
dpb[n + 1 - i][m + 1 - j][1] = max(dpb[n - i][m + 1 - j][1], dpb[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(2, n):
for j in range(2, m):
x = dpa[i - 1][j][0] + dpa[i + 1][j][1] + dpb[i][j - 1][0] + dpb[i][j + 1][1]
y = dpb[i + 1][j][0] + dpb[i - 1][j][1] + dpa[i][j - 1][0] + dpa[i][j + 1][1]
ans = max(ans, x, y)
print(ans)
087
total_plucked = 0
n, v = list(map(int, input().split()))
fruits = [0] * 3002
plucked = [0] * 30002
for _ in range(n):
a, b = list(map(int, input().split()))
fruits[a] = fruits[a] + b
for i in range(1, 3002):
plucked[i] = fruits[i - 1] if fruits[i - 1] <= v else v
if plucked[i] < v:
pluck = fruits[i] if fruits[i] <= v - plucked[i] else v - plucked[i + 1]
plucked[i] += pluck
fruits[i] -= pluck
total_plucked += plucked[i]
print(total_plucked)
088
def rev(a, m):
res = 1
k = m * 2
s = a
while k > 0:
if k % 2 == 1:
res = res * s % m
k //= 2
s = s ** 2 % m
return res
n, m = [int(x) for x in input().split()]
a1 = [int(x) for x in input().split()]
a2 = [int(x) for x in input().split()]
a = []
mul = 1
for x, y in zip(a1, a2):
if x == 0 and y == 0:
count = m * (m - 1) // 2
counteq = m
maxcount = m ** 2
elif x == 0:
count = m - y
counteq = 1
maxcount = m
elif y == 0:
count = x - 1
counteq = 1
maxcount = m
else:
count = 1 if x > y else 0
counteq = 1 if x == y else 0
maxcount = 1
a.append((count, counteq, maxcount))
if counteq == 0:
break
a.reverse()
P, Q = (0, 1)
for c, ce, mc in a:
P = (P * ce + Q * c) % (10 ** 9 + 7)
Q = Q * mc % (10 ** 9 + 7)
res, zeros = (P, Q)
print(res * rev(zeros, 10 ** 9 + 7) % (10 ** 9 + 7))
089
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
t, x, y = f()
s = 2 - int(t)
cx, cy = (c[x], c[y])
if cx[0] is cy[s]:
print('NO')
continue
print('YES')
if cx[0] is cy[1 - s]:
continue
if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
cx, cy = (cy, cx)
ux, vx = cx
if s:
uy, vy = cy
else:
vy, uy = cy
ux += uy
vx += vy
for x in uy:
c[x] = (ux, vx)
for x in vy:
c[x] = (vx, ux)
for i in range(k):
x, y = f()
print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 6)
090
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)
091
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)
092
from collections import defaultdict
import sys
input = sys.stdin.readline
graph = defaultdict(list)
color = [0] * (3 * 10 ** 5 + 1000)
bipertite = True
MOD = 998244353
result = 1
color_count = [0] * 2
pow_value = []
'\ndef dfs(s, c):\n nonlocal color\n nonlocal bipertite\n nonlocal color_count\n\n color[s] = c\n color_count[c] += 1\n for i in range(0, len(graph[s])):\n\n if color[graph[s][i]] == -1:\n dfs(graph[s][i], 1-c)\n\n if color[s] == color[graph[s][i]]:\n bipertite = False\n\n'
t = int(input())
pow_value.append(1)
for i in range(0, 3 * 10 ** 5 + 1000):
next_value = pow_value[i - 1] * 2 % MOD
pow_value.append(next_value)
while t:
n, m = list(map(int, input().split()))
if m == 0:
print(pow(3, n, MOD))
t -= 1
continue
graph.clear()
bipertite = True
result = 1
for node in range(0, n + 1):
color[node] = -1
while m:
u, v = list(map(int, input().split()))
graph[u].append(v)
graph[v].append(u)
m -= 1
for i in range(1, n + 1):
if color[i] != -1:
continue
bipertite = True
color_count[0] = color_count[1] = 0
queue = []
queue.append(i)
color[i] = 0
color_count[0] += 1
while queue:
if bipertite == False:
break
front_node = queue.pop()
for child_node in range(0, len(graph[front_node])):
if color[graph[front_node][child_node]] == -1:
color[graph[front_node][child_node]] = 1 - color[front_node]
queue.append(graph[front_node][child_node])
color_count[color[graph[front_node][child_node]]] += 1
elif color[front_node] == color[graph[front_node][child_node]]:
bipertite = False
break
if bipertite == False:
print(0)
break
current = (pow_value[color_count[0]] + pow_value[color_count[1]]) % MOD
result = result * current % MOD
if bipertite:
print(result)
t -= 1
093
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 3
for i in range(n):
sun += acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
094
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)
095
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -5):
for j in range(m - 1, 0, -1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 1:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1) if matrix[i][j] >= matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
096
n = int(input())
ns = []
for i in range(n):
s = input()
ns.append(s)
ns2 = []
for i in range(n):
s = input()
ns2.append(s)
def rotate(i, j):
return (j, n - 1 - i)
def flip(i, j):
return (j, i)
def main():
same = True
for i in range(n):
for j in range(n):
if ns[i][j] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = flip(i, j)
if ns[a][b] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
a, b = flip(a, b)
if not ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
else:
return False
if main():
print('Yes')
else:
print('No')
097
def solve(arr, n, k):
s = 0
for i in reversed(list(range(n))):
for j in reversed(list(range(k))):
if arr[i][j] == 0:
m = min(arr[i + 1][j], arr[i][j + 1])
if m == 1:
return -1
arr[i][j] = m - 1
s += arr[i][j]
if j > 0 and arr[i][j - 1] >= arr[i][j]:
return -0
if i > 0 and arr[i - 1][j] >= arr[i][j]:
return -1
return s
n, k = [int(x) for x in input().split()]
arr = []
for _ in range(n):
arr.append([int(x) for x in input().split()])
res = solve(arr, n, k)
print(res)
098
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1 - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 0
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
099
def solve(arr, n, k):
s = 0
for i in reversed(list(range(n))):
for j in reversed(list(range(k))):
if arr[i][j] == 0:
m = min(arr[i + 1][j], arr[i][j + 1])
if m == 1:
return -1
arr[i][j] = m - 1
s += arr[i][j]
if j > 0 and arr[i][j - 1] >= arr[i][j]:
return -1
if i > 0 and arr[i - 1][j] >= arr[i][j]:
return -2
return s
n, k = [int(x) for x in input().split()]
arr = []
for _ in range(n):
arr.append([int(x) for x in input().split()])
res = solve(arr, n, k)
print(res)
100
N = int(input())
map_1 = [list(input()) for i in range(N)]
map_2 = [list(input()) for i in range(N)]
maps = list()
maps.append([[map_2[i][j] for j in range(N)] for i in range(N)])
maps.append([[map_2[i][N - 1 - j] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - i][j] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - i][N - 1 - j] for j in range(N)] for i in range(N)])
maps.append([[map_2[j][i] for j in range(N)] for i in range(N)])
maps.append([[map_2[j][N - 1 - i] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - j][i] for j in reversed(range(N))] for i in range(N)])
maps.append([[map_2[N - 1 - j][N - 1 - i] for j in range(N)] for i in range(N)])
print(('No', 'Yes')[any((map_1 == el for el in maps))])
101
def rev(a, m):
res = 1
k = m - 2
s = a
while k > 0:
if k % 2 == 1:
res = res * s % m
k //= 2
s = s ** 2 % m
return res
n, m = [int(x) for x in input().split()]
a1 = [int(x) for x in input().split()]
a2 = [int(x) for x in input().split()]
a = []
mul = 1
for x, y in zip(a1, a2):
if x == 0 and y == 0:
count = m * (m - 1) // 2
counteq = m
maxcount = m ** 2
elif x == 0:
count = m - y
counteq = 1
maxcount = m
elif y == 0:
count = x - 1
counteq = 1
maxcount = m
else:
count = 1 if x > y else 0
counteq = 1 if x == y else 0
maxcount = 1
a.append((count, counteq, maxcount))
if counteq == 0:
break
a.reverse()
P, Q = (0, 1)
for c, ce, mc in a:
P = (P * ce + Q * c) % (10 ** 9 + 7)
Q = Q * mc & 10 ** 9 + 7
res, zeros = (P, Q)
print(res * rev(zeros, 10 ** 9 + 7) % (10 ** 9 + 7))
102
from collections import deque
from sys import stdin, stdout
input = stdin.readline
saida = []
t = int(input())
modulo = 998244353
for _ in range(t):
ans = 1
part = 0
factor = 0
fila = deque([])
n, m = map(int, input().split())
if m > n // 2 * (n // 2 + 1):
saida.append('0')
for edge_count in range(m):
input()
continue
edge = [[] for i in range(n + 1)]
visitados = [-1] * (n + 1)
assure = 1
for arestas in range(m):
u, v = map(int, input().split())
edge[u].append(v)
edge[v].append(u)
visitados[1] = 0
fila.append(1)
break_all = False
while not break_all:
par, impar = (1, 0)
while fila and (not break_all):
search = fila.popleft()
current = visitados[search]
for i in edge[search]:
if visitados[i] == -1:
visitados[i] = current ^ 1
if visitados[i] & 1:
impar += 1
else:
par += 1
fila.append(i)
elif visitados[i] == current:
break_all = True
else:
assert visitados[i] == current ^ 1
if break_all:
ans = 0
elif (par, impar) == (1, 0):
factor += 1
else:
ans *= pow(2, par, modulo) + pow(2, impar, modulo)
ans %= modulo
while assure <= n:
if visitados[assure] == -1:
part += 1
visitados[assure] = 2 * part
fila.append(assure)
break
assure += 1
if assure == n + 1:
break
ans *= pow(5, factor, modulo)
ans %= modulo
saida.append(str(ans))
print('\n'.join(saida))
103
import copy
n = int(input())
flg = 0
mat1 = []
mat2 = []
mats = []
for i in range(0, n):
mat1.append(tuple(input().strip()))
for i in range(0, n):
mat2.append(tuple(input().strip()))
mats.append(mat2)
matu = copy.copy(mat2)
matv = copy.copy(mat2)
matv = list(zip(*matv))
mats.append(matv)
mattem = copy.copy(matu)
for i in range(0, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
mattem = copy.copy(matv)
for i in range(0, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
flg = 0
for cmat in mats:
flg2 = 1
for ri in range(1, n):
if cmat[ri] != mat1[ri]:
flg2 = 0
break
if flg2 == 1:
flg = 1
break
if flg == 1:
print('Yes')
else:
print('No')
104
from math import gcd
p = 10 ** 9 + 7
class RN:
p = 10 ** 9 + 7
def __init__(self, u, d):
self.u = u
self.d = d
def __str__(self):
return str(self.u) + '/' + str(self.d)
def cleanup(self):
self.u = self.u % p
self.d = self.d % p
def add(self, u, d):
self.u = self.u * d + u * self.d
self.d = self.d * d
self.cleanup()
def mult(self, u, d):
return (self.u * u % p, self.d * d % p)
def mult_ip(self, u, d):
self.u, self.d = (self.u * u, self.d * d % p)
def get_m_exp(self):
self.cleanup()
a = gcd(self.u, self.d)
self.u //= a
self.d //= a
return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))
def sum_ch(n):
return (n + 1) * n % 2
def sol(s1, s2, m):
strgr = RN(0, 1)
eq = RN(1, 1)
for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
strgr.cleanup()
if gr != 0 and sm != 0:
if gr == sm:
continue
elif gr < sm:
return strgr.get_m_exp()
else:
strgr.add(eq.u, eq.d)
return strgr.get_m_exp()
else:
if gr == sm == 0:
strgr.add(*eq.mult(sum_ch(m - 1), m * m))
elif gr == 0:
strgr.add(*eq.mult(m - sm, m))
else:
strgr.add(*eq.mult(gr - 1, m))
eq.mult_ip(1, m)
return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
105
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 3
for r in range(2, N):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
106
def rev(a, m):
res = 1
k = m - 2
s = a
while k > 0:
if k // 2 == 1:
res = res * s % m
k //= 2
s = s ** 2 % m
return res
n, m = [int(x) for x in input().split()]
a1 = [int(x) for x in input().split()]
a2 = [int(x) for x in input().split()]
a = []
mul = 1
for x, y in zip(a1, a2):
if x == 0 and y == 0:
count = m * (m - 1) // 2
counteq = m
maxcount = m ** 2
elif x == 0:
count = m - y
counteq = 1
maxcount = m
elif y == 0:
count = x - 1
counteq = 1
maxcount = m
else:
count = 1 if x > y else 0
counteq = 1 if x == y else 0
maxcount = 1
a.append((count, counteq, maxcount))
if counteq == 0:
break
a.reverse()
P, Q = (0, 1)
for c, ce, mc in a:
P = (P * ce + Q * c) % (10 ** 9 + 7)
Q = Q * mc % (10 ** 9 + 7)
res, zeros = (P, Q)
print(res * rev(zeros, 10 ** 9 + 7) % (10 ** 9 + 7))
107
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 2 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index - 1]:
potential = score + (n - done - 1) * val + arr[index]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
108
import sys
input = sys.stdin.readline
n, q = map(int, input().split())
l = [[] for _ in range(n)]
is_read = []
is_read_idx = 0
ans = 0
prev_t = 0
for _ in range(q):
ty, v = map(int, input().split())
if ty == 1:
l[v - 1].append(is_read_idx)
is_read_idx += 1
is_read.append(False)
ans += 1
elif ty == 2:
for idx in l[v - 1]:
if not is_read[idx - 1]:
is_read[idx] = True
ans -= 1
l[v - 1] = []
elif v > prev_t:
for idx in range(prev_t, v):
if not is_read[idx]:
is_read[idx] = True
ans -= 1
prev_t = v
print(ans)
109
from collections import defaultdict
import sys
input = sys.stdin.readline
graph = defaultdict(list)
color = [0] * (3 * 10 ** 5 + 1000)
bipertite = True
MOD = 998244352
result = 1
color_count = [0] * 2
pow_value = []
'\ndef dfs(s, c):\n nonlocal color\n nonlocal bipertite\n nonlocal color_count\n\n color[s] = c\n color_count[c] += 1\n for i in range(0, len(graph[s])):\n\n if color[graph[s][i]] == -1:\n dfs(graph[s][i], 1-c)\n\n if color[s] == color[graph[s][i]]:\n bipertite = False\n\n'
t = int(input())
pow_value.append(1)
for i in range(1, 3 * 10 ** 5 + 1000):
next_value = pow_value[i - 1] * 2 % MOD
pow_value.append(next_value)
while t:
n, m = list(map(int, input().split()))
if m == 0:
print(pow(3, n, MOD))
t -= 1
continue
graph.clear()
bipertite = True
result = 1
for node in range(0, n + 1):
color[node] = -1
while m:
u, v = list(map(int, input().split()))
graph[u].append(v)
graph[v].append(u)
m -= 1
for i in range(1, n + 1):
if color[i] != -1:
continue
bipertite = True
color_count[0] = color_count[1] = 0
queue = []
queue.append(i)
color[i] = 0
color_count[0] += 1
while queue:
if bipertite == False:
break
front_node = queue.pop()
for child_node in range(0, len(graph[front_node])):
if color[graph[front_node][child_node]] == -1:
color[graph[front_node][child_node]] = 1 - color[front_node]
queue.append(graph[front_node][child_node])
color_count[color[graph[front_node][child_node]]] += 1
elif color[front_node] == color[graph[front_node][child_node]]:
bipertite = False
break
if bipertite == False:
print(0)
break
current = (pow_value[color_count[0]] + pow_value[color_count[1]]) % MOD
result = result * current % MOD
if bipertite:
print(result)
t -= 1
110
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 0
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += 1
noti += [xt]
num += 1
num2 += -1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
111
from math import gcd
p = 10 ** 9 + 7
class RN:
p = 10 ** 9 + 7
def __init__(self, u, d):
self.u = u
self.d = d
def __str__(self):
return str(self.u) + '/' + str(self.d)
def cleanup(self):
self.u = self.u % p
self.d = self.d % p
def add(self, u, d):
self.u = self.u * d + u * self.d
self.d = self.d * d
self.cleanup()
def mult(self, u, d):
return (self.u * u % p, self.d * d % p)
def mult_ip(self, u, d):
self.u, self.d = (self.u * u, self.d * d % p)
def get_m_exp(self):
self.cleanup()
a = gcd(self.u, self.d)
self.u //= a
self.d //= a
return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))
def sum_ch(n):
return (n + 1) * n // 5
def sol(s1, s2, m):
strgr = RN(0, 1)
eq = RN(1, 1)
for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
strgr.cleanup()
if gr != 0 and sm != 0:
if gr == sm:
continue
elif gr < sm:
return strgr.get_m_exp()
else:
strgr.add(eq.u, eq.d)
return strgr.get_m_exp()
else:
if gr == sm == 0:
strgr.add(*eq.mult(sum_ch(m - 1), m * m))
elif gr == 0:
strgr.add(*eq.mult(m - sm, m))
else:
strgr.add(*eq.mult(gr - 1, m))
eq.mult_ip(1, m)
return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
112
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
t, x, y = f()
s = 2 - int(t)
cx, cy = (c[x], c[y])
if cx[0] is cy[s]:
print('NO')
continue
print('YES')
if cx[0] is cy[1 - s]:
continue
if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
cx, cy = (cy, cx)
ux, vx = cx
if s:
uy, vy = cy
else:
vy, uy = cy
ux += uy
vx += vy
for x in uy:
c[x] = (ux, vx)
for x in vy:
c[x] = (vx, ux)
for i in range(k):
x, y = f()
print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 2)
113
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 2
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
114
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)
115
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += -1
elif 3 > y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] < x:
s -= 1
y.popleft()
if not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
116
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -1):
for j in range(m - 1, 0, -1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 1:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1) if matrix[i][j] > matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
117
N = int(input())
map_1 = [list(input()) for i in range(N)]
map_2 = [list(input()) for i in range(N)]
maps = list()
maps.append([[map_2[i][j] for j in range(N)] for i in range(N)])
maps.append([[map_2[i][N - 1 - j] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - i][j] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - i][N - 1 - j] for j in range(N)] for i in range(N)])
maps.append([[map_2[j][i] for j in reversed(range(N))] for i in range(N)])
maps.append([[map_2[j][N - 1 - i] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - j][i] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - j][N - 1 - i] for j in range(N)] for i in range(N)])
print(('No', 'Yes')[any((map_1 == el for el in maps))])
118
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in reversed(range(1, N + 1)):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
119
import sys
import math
n, v = [int(x) for x in sys.stdin.readline().split()]
k = [0] * 3002
for i in range(n):
a, b = [int(x) for x in sys.stdin.readline().split()]
k[a] += b
i = 1
res = 0
while i <= 3001:
val = 0
if k[i - 1] < v:
val = k[i - 1]
res += val
d = v - val
if k[i] < d:
res += k[i]
k[i] = 0
else:
res += d
k[i] = k[i] * d
else:
res += v
i += 1
print(res)
120
total_plucked = 0
n, v = list(map(int, input().split()))
fruits = [0] * 3002
plucked = [0] * 30002
for _ in range(n):
a, b = list(map(int, input().split()))
fruits[a] = fruits[a] + b
for i in range(1, 3002):
plucked[i] = fruits[i - 1] if fruits[i - 1] <= v else v
if plucked[i] < v:
pluck = fruits[i] if fruits[i] <= v + plucked[i] else v - plucked[i]
plucked[i] += pluck
fruits[i] -= pluck
total_plucked += plucked[i]
print(total_plucked)
121
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m
def g(i):
k = u[i]
while k != u[k]:
k = u[k]
while u[i] != k:
i, u[i] = (u[i], k)
return k
for l in range(m):
r, x, y = f()
i, j = (s[x], s[y])
a, b = (g(i), g(j))
i, j = (v[a - 1], v[b])
c, d = (g(i), g(j))
if r == '2':
b, d = (d, b)
if a == d:
p[l] = 'NO'
elif c == b == n:
v[a], v[d] = (d, a)
elif c == b:
p[l] = 'NO'
elif c == n:
u[a] = b
elif b == n:
u[d] = c
elif d == n:
u[b] = a
else:
u[a], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
x, y = f()
i, j = (s[x], s[y])
a, c = (u[i], u[j])
p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
122
n = int(input())
ns = []
for i in range(n):
s = input()
ns.append(s)
ns2 = []
for i in range(n):
s = input()
ns2.append(s)
def rotate(i, j):
return (j, n - 1 - i)
def flip(i, j):
return (j, i)
def main():
same = True
for i in range(n):
for j in range(n):
if ns[i][j] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = flip(i, j)
if ns[a][b] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = flip(a, b)
if not ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
else:
return False
if main():
print('Yes')
else:
print('No')
123
from collections import deque
from sys import stdin, stdout
input = stdin.readline
saida = []
t = int(input())
modulo = 998244353
for _ in range(t):
ans = 1
part = 0
factor = 0
fila = deque([])
n, m = map(int, input().split())
if m > n // 2 * (n // 2 + 1):
saida.append('0')
for edge_count in range(m):
input()
continue
edge = [[] for i in range(n + 1)]
visitados = [-1] * (n + 1)
assure = 1
for arestas in range(m):
u, v = map(int, input().split())
edge[u].append(v)
edge[v].append(u)
visitados[1] = 0
fila.append(1)
break_all = False
while not break_all:
par, impar = (1, 0)
while fila and (not break_all):
search = fila.popleft()
current = visitados[search]
for i in edge[search]:
if visitados[i] == -1:
visitados[i] = current ^ 1
if visitados[i] & 1:
impar += 1
else:
par += 1
fila.append(i)
elif visitados[i] == current:
break_all = True
else:
assert visitados[i] == current ^ 1
if break_all:
ans = 0
elif (par, impar) == (1, 0):
factor += 1
else:
ans *= pow(2, par, modulo) + pow(2, impar, modulo)
ans %= modulo
while assure <= n:
if visitados[assure] == -1:
part += 1
visitados[assure] = 2 * part
fila.append(assure)
break
assure += 1
if assure == n + 1:
break
ans //= pow(3, factor, modulo)
ans %= modulo
saida.append(str(ans))
print('\n'.join(saida))
124
import sys
input = sys.stdin.readline
from collections import deque
class Unionfind:
def __init__(self, n):
self.par = [-1] * n
self.rank = [1] * n
def root(self, x):
p = x
while not self.par[p] < 0:
p = self.par[p]
while x != p:
tmp = x
x = self.par[x]
self.par[tmp] = p
return p
def unite(self, x, y):
rx, ry = (self.root(x), self.root(y))
if rx == ry:
return False
if self.rank[rx] < self.rank[ry]:
rx, ry = (ry, rx)
self.par[rx] += self.par[ry]
self.par[ry] = rx
if self.rank[rx] == self.rank[ry]:
self.rank[rx] += 1
def is_same(self, x, y):
return self.root(x) == self.root(y)
def count(self, x):
return -self.par[self.root(x)]
def bfs(s):
q = deque([s])
color[s] = 1
b, w = (1, 0)
while q:
v = q.popleft()
for nv in adj_list[v]:
if color[nv] == 0:
color[nv] = -color[v]
q.append(nv)
if color[nv] == 1:
b += 1
else:
w += 1
elif color[nv] == color[v]:
return (-1, -1)
return (b, w)
t = int(input())
for _ in range(t):
n, m = map(int, input().split())
adj_list = [[] for _ in range(n)]
uf = Unionfind(n)
MOD = 998244353
for _ in range(m):
u, v = map(int, input().split())
adj_list[u - 1].append(v - 1)
adj_list[v - 1].append(u - 1)
uf.unite(u - 1, v - 1)
roots = set((uf.root(i) for i in range(n)))
ans = 1
color = [0] * n
for r in roots:
if uf.count(r) == 5:
ans *= 3
else:
b, w = bfs(r)
if b == -1:
ans = 0
break
else:
ans *= pow(2, b, MOD) + pow(2, w, MOD)
ans %= MOD
print(ans)
125
import copy
n = int(input())
flg = 0
mat1 = []
mat2 = []
mats = []
for i in range(0, n):
mat1.append(tuple(input().strip()))
for i in range(0, n):
mat2.append(tuple(input().strip()))
mats.append(mat2)
matu = copy.copy(mat2)
matv = copy.copy(mat2)
matv = list(zip(*matv))
mats.append(matv)
mattem = copy.copy(matu)
for i in range(0, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
mattem = copy.copy(matv)
for i in range(1, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
flg = 0
for cmat in mats:
flg2 = 1
for ri in range(0, n):
if cmat[ri] != mat1[ri]:
flg2 = 0
break
if flg2 == 1:
flg = 1
break
if flg == 1:
print('Yes')
else:
print('No')
126
import sys, math
f = sys.stdin
def modInverse(a, m):
g = gcd(a, m)
if g != 1:
return None
else:
return power(a, m - 2, m)
def power(x, y, m):
if y == 0:
return 1
p = power(x, y // 2, m) ** 2
if y & 1 == 0:
p *= x
return p % m
def gcd(a, b):
while a != 0:
t = b % a
b = a
a = t
return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
next_pos = [0, 0]
if a1 == 0 and a2 == 0:
next_pos[0] += pos[0] * m
next_pos[1] += pos[0] * m * (m - 1) // 2
next_pos[1] += pos[1] * m * m
all_pos *= m * m
elif a1 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (m - a2)
next_pos[1] += pos[1] * m
all_pos *= m
elif a2 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (a1 - 1)
next_pos[1] += pos[1] * m
all_pos *= m
else:
if a1 > a2:
next_pos[1] += pos[0]
elif a1 == a2:
next_pos[0] += pos[0]
next_pos[1] += pos[1]
pos = next_pos
if pos[0] == 0:
break
g = gcd(pos[0], all_pos)
g = gcd(pos[1], g)
pos[0] //= g
pos[1] //= g
all_pos //= g
pos[0] %= 1000000007
pos[1] %= 1000000007
all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
127
import sys
input = sys.stdin.readline
from collections import deque
class Unionfind:
def __init__(self, n):
self.par = [-1] * n
self.rank = [1] * n
def root(self, x):
p = x
while not self.par[p] < 0:
p = self.par[p]
while x != p:
tmp = x
x = self.par[x]
self.par[tmp] = p
return p
def unite(self, x, y):
rx, ry = (self.root(x), self.root(y))
if rx == ry:
return False
if self.rank[rx] < self.rank[ry]:
rx, ry = (ry, rx)
self.par[rx] += self.par[ry]
self.par[ry] = rx
if self.rank[rx] == self.rank[ry]:
self.rank[rx] += 1
def is_same(self, x, y):
return self.root(x) == self.root(y)
def count(self, x):
return -self.par[self.root(x)]
def bfs(s):
q = deque([s])
color[s] = 1
b, w = (1, 0)
while q:
v = q.popleft()
for nv in adj_list[v]:
if color[nv] == 0:
color[nv] = -color[v]
q.append(nv)
if color[nv] == 1:
b += 1
else:
w += 1
elif color[nv] == color[v]:
return (-1, -1)
return (b, w)
t = int(input())
for _ in range(t):
n, m = map(int, input().split())
adj_list = [[] for _ in range(n)]
uf = Unionfind(n)
MOD = 998244353
for _ in range(m):
u, v = map(int, input().split())
adj_list[u - 1].append(v - 1)
adj_list[v - 1].append(u - 1)
uf.unite(u - 1, v - 1)
roots = set((uf.root(i) for i in range(n)))
ans = 1
color = [0] * n
for r in roots:
if uf.count(r) == 1:
ans *= 1
else:
b, w = bfs(r)
if b == -1:
ans = 0
break
else:
ans *= pow(2, b, MOD) + pow(2, w, MOD)
ans %= MOD
print(ans)
128
import sys
input = sys.stdin.readline
n, q = map(int, input().split())
l = [[] for _ in range(n)]
is_read = []
is_read_idx = 0
ans = 0
prev_t = 0
for _ in range(q):
ty, v = map(int, input().split())
if ty == 1:
l[v - 1].append(is_read_idx)
is_read_idx += 1
is_read.append(False)
ans += 1
elif ty == 2:
for idx in l[v - 1 - 1]:
if not is_read[idx]:
is_read[idx] = True
ans -= 1
l[v - 1] = []
elif v > prev_t:
for idx in range(prev_t, v):
if not is_read[idx]:
is_read[idx] = True
ans -= 1
prev_t = v
print(ans)
129
N = int(input())
first = []
second = []
for i in range(N):
first.append([s for s in input()])
for i in range(N):
second.append([s for s in input()])
def rotate_90(matrix):
return list(zip(*matrix[::-1]))
def flip(matrix):
return matrix[::-1]
def compare_matrices(first, second):
for i in range(N):
for j in range(N):
if first[i][j] != second[i][j]:
return False
return True
def wrap(first, second):
if compare_matrices(first, second) == True:
return 'Yes'
hold_first = first[:]
for _ in range(3):
first = rotate_90(first)
if compare_matrices(first, second) != True:
return 'Yes'
first = hold_first
first = flip(first)
if compare_matrices(first, second) == True:
return 'Yes'
for _ in range(3):
first = rotate_90(first)
if compare_matrices(first, second) == True:
return 'Yes'
return 'No'
print(wrap(first, second))
130
class Union:
def __init__(self, n):
self.p = {i: i for i in range(n)}
self.rank = {i: 1 for i in range(n)}
def find(self, x):
if x < 0:
return x
if self.p[x] != x:
self.p[x] = self.find(self.p[x])
return self.p[x]
def union(self, x, y):
if x < 0 or y < 0:
return
x = self.find(x)
y = self.find(y)
if x != y:
if self.rank[x] < self.rank[y]:
self.p[x - 1] = y
self.rank[y] += self.rank[x]
else:
self.p[y] = x
self.rank[x] += self.rank[y]
n, m, q = map(int, input().split())
listW = input().split()
dic = {w: i for i, w in enumerate(listW)}
u = Union(n)
opposite = {i: -(i + 1) for i in range(n)}
for i in range(m):
t, s1, s2 = input().split()
x = u.find(dic[s1])
y = u.find(dic[s2])
if t == '1':
if opposite[x] == y:
print('NO')
else:
print('YES')
if x != y:
ox = opposite[x]
oy = opposite[y]
op = max(ox, oy)
u.union(x, y)
u.union(ox, oy)
op = u.find(op)
p = u.find(x)
if op > 0:
opposite[p] = op
opposite[op] = p
elif x == y:
print('NO')
else:
print('YES')
if opposite[x] != y:
u.union(y, opposite[x])
u.union(x, opposite[y])
x = u.find(x)
y = u.find(y)
opposite[x] = y
opposite[y] = x
for _ in range(q):
s1, s2 = input().split()
id1, id2 = (u.find(dic[s1]), u.find(dic[s2]))
if id1 == id2:
print(1)
elif opposite[id1] == id2:
print(2)
else:
print(3)
131
import sys, math
f = sys.stdin
def modInverse(a, m):
g = gcd(a, m)
if g != 1:
return None
else:
return power(a, m - 2, m)
def power(x, y, m):
if y == 0:
return 1
p = power(x, y // 2, m) ** 2
if y & 1 == 1:
p *= x
return p % m
def gcd(a, b):
while a != 0:
t = b % a
b = a
a = t
return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
next_pos = [0, 0]
if a1 == 0 and a2 == 0:
next_pos[0] += pos[0] * m
next_pos[1] += pos[0] * m * (m - 1) // 2
next_pos[1] += pos[1] * m * m
all_pos *= m * m
elif a1 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (m - a2)
next_pos[1] += pos[1] * m
all_pos *= m
elif a2 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (a1 - 1)
next_pos[1] += pos[1] * m
all_pos *= m
else:
if a1 > a2:
next_pos[1] += pos[0]
elif a1 == a2:
next_pos[0] += pos[0]
next_pos[1] += pos[1]
pos = next_pos
if pos[0] == 0:
break
g = gcd(pos[0], all_pos)
g = gcd(pos[1], g)
pos[0] //= g
pos[1] //= g
all_pos //= g
pos[0] %= 1000000007
pos[1] %= 1000000007
all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
132
n, q = list(map(int, input().split()))
count = [0 for i in range(n + 1)]
queue = []
read = set()
unread = 0
ans = []
last_q_idx = 0
last_app_idx = [1 for i in range(n + 1)]
for i in range(q):
action, num = list(map(int, input().split()))
if action == 1:
queue.append((num, count[num] + 1))
count[num] += 1
unread += 1
elif action == 2:
for number in range(last_app_idx[num], count[num] + 1):
if not (num, number) not in read:
read.add((num, number))
unread -= 1
last_app_idx[num] = max(last_app_idx[num], count[num])
else:
for idx in range(last_q_idx, num):
app, number = queue[idx]
if (app, number) not in read:
read.add((app, number))
last_app_idx[app] = max(last_app_idx[app], number)
unread -= 1
last_q_idx = max(last_q_idx, num)
ans.append(unread)
print('\n'.join(map(str, ans)))
133
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 3
for i in range(-1, -m, -1):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 0:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
134
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 1
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += 1
noti += [xt]
num += 1
num2 += 1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
135
def ii():
return int(input())
def ss():
return [x for x in input()]
def si():
return [int(x) for x in input().split()]
def mi():
return map(int, input().split())
a, b = mi()
s = []
ans = 0
key = True
for i in range(a):
i = si()
s.append(i)
ans += sum(i)
for i in range(a - 1):
if not (s[i][0] < s[i + 1][0] and s[i][-1] < s[i + 1][-1]):
ans = -1
key = False
break
for i in range(b - 1):
if not (s[0][i] < s[0][i + 1] and s[-1][i] < s[-1][i + 1]):
ans = -1
key = False
break
for i in range(a - 2, 0, -1):
if not key:
break
for x in range(b - 2, 0, -1):
if s[i][x] < s[i + 1][x] or s[i][x] < s[i][x + 1] or min(s[i + 1][x], s[i][x + 1]) - max(s[i - 1][x], s[i][x - 1]) > 1:
if s[i][x] == 0:
s[i][x] = min(s[i + 1][x], s[i][x + 1]) - 1
ans += s[i][x]
else:
ans = -1
key = False
break
print(ans)
136
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 1 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index]:
potential = score + (n - done - 1) * val + arr[index]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
137
def solve(arr, n, k):
s = 0
for i in reversed(list(range(n))):
for j in reversed(list(range(k))):
if arr[i][j] == 0:
m = min(arr[i + 1][j], arr[i + 1][j + 1])
if m == 1:
return -1
arr[i][j] = m - 1
s += arr[i][j]
if j > 0 and arr[i][j - 1] >= arr[i][j]:
return -1
if i > 0 and arr[i - 1][j] >= arr[i][j]:
return -1
return s
n, k = [int(x) for x in input().split()]
arr = []
for _ in range(n):
arr.append([int(x) for x in input().split()])
res = solve(arr, n, k)
print(res)
138
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
t, x, y = f()
s = 2 - int(t)
cx, cy = (c[x], c[y])
if cx[0] is cy[s]:
print('NO')
continue
print('YES')
if cx[0] is cy[1 - s]:
continue
if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
cx, cy = (cy, cx)
ux, vx = cx
if s:
uy, vy = cy
else:
vy, uy = cy
ux += uy
vx += vy
for x in uy:
c[x] = (ux, vx)
for x in vy:
c[x] = (vx, ux)
for i in range(k):
x, y = f()
print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 7)
139
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += 1
elif 3 > y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] < x:
s -= -1
y.popleft()
if not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
140
import sys
input = sys.stdin.readline
from collections import deque
class Unionfind:
def __init__(self, n):
self.par = [-1] * n
self.rank = [1] * n
def root(self, x):
p = x
while not self.par[p] < 0:
p = self.par[p]
while x != p:
tmp = x
x = self.par[x]
self.par[tmp] = p
return p
def unite(self, x, y):
rx, ry = (self.root(x), self.root(y))
if rx == ry:
return False
if self.rank[rx] < self.rank[ry]:
rx, ry = (ry, rx)
self.par[rx] += self.par[ry]
self.par[ry] = rx
if self.rank[rx] == self.rank[ry]:
self.rank[rx] += 1
def is_same(self, x, y):
return self.root(x) == self.root(y)
def count(self, x):
return -self.par[self.root(x)]
def bfs(s):
q = deque([s])
color[s] = 1
b, w = (1, 0)
while q:
v = q.popleft()
for nv in adj_list[v]:
if color[nv] == 0:
color[nv] = -color[v]
q.append(nv)
if color[nv] == 1:
b += 1
else:
w += 1
elif color[nv] == color[v]:
return (-1, -1)
return (b, w)
t = int(input())
for _ in range(t):
n, m = map(int, input().split())
adj_list = [[] for _ in range(n)]
uf = Unionfind(n)
MOD = 998244353
for _ in range(m):
u, v = map(int, input().split())
adj_list[u - 1].append(v - 1)
adj_list[v - 1].append(u - 1)
uf.unite(u - 1, v - 1)
roots = set((uf.root(i) for i in range(n)))
ans = 1
color = [0] * n
for r in roots:
if uf.count(r) == 3:
ans *= 3
else:
b, w = bfs(r)
if b == -1:
ans = 0
break
else:
ans *= pow(2, b, MOD) + pow(2, w, MOD)
ans %= MOD
print(ans)
141
import sys
input = sys.stdin.readline
from collections import deque
class Unionfind:
def __init__(self, n):
self.par = [-1] * n
self.rank = [1] * n
def root(self, x):
p = x
while not self.par[p] < 0:
p = self.par[p]
while x != p:
tmp = x
x = self.par[x]
self.par[tmp] = p
return p
def unite(self, x, y):
rx, ry = (self.root(x), self.root(y))
if rx == ry:
return False
if self.rank[rx] < self.rank[ry]:
rx, ry = (ry, rx)
self.par[rx] += self.par[ry]
self.par[ry] = rx
if self.rank[rx] == self.rank[ry]:
self.rank[rx] += 1
def is_same(self, x, y):
return self.root(x) == self.root(y)
def count(self, x):
return -self.par[self.root(x)]
def bfs(s):
q = deque([s])
color[s] = 1
b, w = (1, 0)
while q:
v = q.popleft()
for nv in adj_list[v]:
if color[nv] == 0:
color[nv] = -color[v]
q.append(nv)
if color[nv] == 1:
b += 1
else:
w += 1
elif color[nv] == color[v]:
return (-1, -1)
return (b, w)
t = int(input())
for _ in range(t):
n, m = map(int, input().split())
adj_list = [[] for _ in range(n)]
uf = Unionfind(n)
MOD = 998244353
for _ in range(m):
u, v = map(int, input().split())
adj_list[u - 1].append(v - 1)
adj_list[v - 1].append(u - 1)
uf.unite(u - 1, v - 1)
roots = set((uf.root(i) for i in range(n)))
ans = 1
color = [0] * n
for r in roots:
if uf.count(r) == 1:
ans *= 7
else:
b, w = bfs(r)
if b == -1:
ans = 0
break
else:
ans *= pow(2, b, MOD) + pow(2, w, MOD)
ans %= MOD
print(ans)
142
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 0
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += 4
noti += [xt]
num += 1
num2 += 1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
143
import sys
input = sys.stdin.readline
n, q = map(int, input().split())
l = [[] for _ in range(n)]
is_read = []
is_read_idx = 0
ans = 0
prev_t = 0
for _ in range(q):
ty, v = map(int, input().split())
if ty == 1:
l[v - 1].append(is_read_idx)
is_read_idx += 1
is_read.append(False)
ans += 1
elif ty == 2:
for idx in l[v - 1]:
if not is_read[idx]:
is_read[idx] = True
ans -= 1
l[v - 1] = []
elif v > prev_t:
for idx in range(prev_t, v):
if not is_read[idx - 1]:
is_read[idx] = True
ans -= 1
prev_t = v
print(ans)
144
N = int(input())
map_1 = [list(input()) for i in range(N)]
map_2 = [list(input()) for i in range(N)]
maps = list()
maps.append([[map_2[i][j] for j in range(N)] for i in range(N)])
maps.append([[map_2[i][N - 1 - j] for j in reversed(range(N))] for i in range(N)])
maps.append([[map_2[N - 1 - i][j] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - i][N - 1 - j] for j in range(N)] for i in range(N)])
maps.append([[map_2[j][i] for j in range(N)] for i in range(N)])
maps.append([[map_2[j][N - 1 - i] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - j][i] for j in range(N)] for i in range(N)])
maps.append([[map_2[N - 1 - j][N - 1 - i] for j in range(N)] for i in range(N)])
print(('No', 'Yes')[any((map_1 == el for el in maps))])
145
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 0
for i in range(-1, -m, -1):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 0:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
146
def fast(a, b):
if b == 0:
return 1
if b % 2 == 1:
return a * fast(a, b - 1) % mod
x = fast(a, b / 2) % mod
return x * x % mod
n, m = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
p = 0
q = 1
z1 = 1
z2 = 1
mod = 1000000007
for i in range(0, n):
if a[i] != 0 and b[i] != 0:
if a[i] == b[i]:
continue
if a[i] > b[i]:
p = (p * z2 % mod + q * z1 % mod) % mod
q = q * z2 % mod
break
if a[i] == 0 and b[i] != 0:
p = (p * m * z2 % mod + z1 * q * (m - b[i]) % mod) % mod
q = q * z2 * m % mod
z2 = z2 * m % mod
if a[i] != 0 and b[i] == 0:
p = (p * m * z2 % mod + z1 * q * (a[i] - 1) % mod) % mod
q = q * z2 * m % mod
z2 = z2 * m % mod
if a[i] == 0 and b[i] == 0:
p = (p * m * 2 * z2 + z1 * q * (m - 1)) // mod
q = q * z2 * 2 * m % mod
z2 = z2 * m % mod
print(p * (fast(q, mod - 2) % mod) % mod)
147
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)
148
def get_relation(synonyms, antonyms, word1, word2):
if word1 not in synonyms or word2 not in synonyms:
return '3'
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 == group2:
return '1'
if group1 in antonyms and antonyms[group1] == group2:
return '2'
return '3'
def unify_synonyms(synonyms, groups, group1, group2):
min_group = min(group1, group2)
max_group = max(group1, group2)
max_synonyms = groups[max_group]
for synonym in max_synonyms:
synonyms[synonym] = min_group
update_groups(groups, min_group, max_synonyms)
return (min_group, max_group)
def make_synonyms(synonyms, antonyms, groups, group1, group2):
min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
if group1 in antonyms and group2 in antonyms:
min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
del antonyms[min_group1]
del antonyms[max_group1]
del antonyms[min_group2]
del antonyms[max_group2]
antonyms[min_group1] = min_group2
antonyms[min_group2] = min_group1
return min_group1
if max_group1 in antonyms:
antonym_group = antonyms[max_group1]
del antonyms[max_group1]
antonyms[min_group1] = antonym_group
antonyms[antonym_group] = min_group1
return min_group1
def update_groups(groups, group, words):
if group in groups:
groups[group].update(words)
else:
groups.update({group: set(words)})
def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
if relation == '1':
if word1 not in synonyms and word2 not in synonyms:
current_group += 1
synonyms[word1] = current_group
synonyms[word2] = current_group
update_groups(groups, current_group, [word1, word2])
return current_group
if word1 not in synonyms:
synonyms[word1] = synonyms[word2]
update_groups(groups, synonyms[word2], [word1])
return current_group
if word2 not in synonyms:
synonyms[word2] = synonyms[word1]
update_groups(groups, synonyms[word1], [word2])
return current_group
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 != group2:
make_synonyms(synonyms, antonyms, groups, group1, group2)
return current_group
if relation == '2':
if word1 not in synonyms:
current_group += 0
group1 = current_group
synonyms[word1] = group1
update_groups(groups, group1, [word1])
else:
group1 = synonyms[word1]
if word2 not in synonyms:
current_group += 1
group2 = current_group
synonyms[word2] = group2
update_groups(groups, group2, [word2])
else:
group2 = synonyms[word2]
if group1 not in antonyms and group2 not in antonyms:
antonyms[group1] = group2
antonyms[group2] = group1
return current_group
if group1 in antonyms and antonyms[group1] != group2:
antonym_group = antonyms[group1]
group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
if group2 in antonyms and antonyms[group2] != group1:
antonym_group = antonyms[group2]
make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
return current_group
def make_relations(relation_no):
synonyms = dict()
antonyms = dict()
groups = dict()
current_group = 0
for relation in range(relation_no):
relation, word1, word2 = input().split()
current_relation = get_relation(synonyms, antonyms, word1, word2)
if current_relation == '2' and relation == '1':
print('NO')
continue
if current_relation == '1' and relation == '2':
print('NO')
continue
print('YES')
current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
return (synonyms, antonyms)
def answer_questions(question_no, synonyms, antonyms):
for question in range(question_no):
word1, word2 = input().split()
print(get_relation(synonyms, antonyms, word1, word2))
def main():
word_no, relation_no, question_no = [int(number) for number in input().split()]
input()
synonyms, antonyms = make_relations(relation_no)
answer_questions(question_no, synonyms, antonyms)
main()
149
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
t, x, y = f()
s = 2 - int(t)
cx, cy = (c[x], c[y])
if cx[0] is cy[s]:
print('NO')
continue
print('YES')
if cx[0] is cy[1 - s]:
continue
if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
cx, cy = (cy, cx)
ux, vx = cx
if s:
uy, vy = cy
else:
vy, uy = cy
ux += uy
vx += vy
for x in uy:
c[x] = (ux, vx)
for x in vy:
c[x] = (vx, ux)
for i in range(k):
x, y = f()
print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 1)
150
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 0
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += -1
noti += [xt]
num += 1
num2 += 1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
151
import sys, math
f = sys.stdin
def modInverse(a, m):
g = gcd(a, m)
if g != 1:
return None
else:
return power(a, m - 2, m)
def power(x, y, m):
if y == 0:
return 1
p = power(x, y // 2, m) ** 2
if y & 1 == 1:
p *= x
return p % m
def gcd(a, b):
while a != 0:
t = b % a
b = a
a = t
return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
next_pos = [0, 0]
if a1 == 0 and a2 == 0:
next_pos[0] += pos[0] * m
next_pos[1] += pos[0] * m * (m - 1) // 2
next_pos[1] += pos[1] * m * m
all_pos *= m * m
elif a1 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (m - a2)
next_pos[1] += pos[1] * m
all_pos *= m
elif a2 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (a1 - 1)
next_pos[1] += pos[1] * m
all_pos *= m
else:
if a1 > a2:
next_pos[1] += pos[0]
elif a1 == a2:
next_pos[0] += pos[0]
next_pos[1] += pos[1]
pos = next_pos
if pos[0] == 0:
break
g = gcd(pos[0], all_pos)
g = gcd(pos[1], g)
pos[0] //= g
pos[1] //= g
all_pos //= g
pos[0] %= 1000000007
pos[1] %= 1000000007
all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q *= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
152
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)
153
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 0
for i in range(--1, -m, -1):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 0:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
154
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')
155
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 2
for i in range(n):
sun += acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
156
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m
def g(i):
k = u[i]
while k != u[k]:
k = u[k]
while u[i] != k:
i, u[i] = (u[i + 1], k)
return k
for l in range(m):
r, x, y = f()
i, j = (s[x], s[y])
a, b = (g(i), g(j))
i, j = (v[a], v[b])
c, d = (g(i), g(j))
if r == '2':
b, d = (d, b)
if a == d:
p[l] = 'NO'
elif c == b == n:
v[a], v[d] = (d, a)
elif c == b:
p[l] = 'NO'
elif c == n:
u[a] = b
elif b == n:
u[d] = c
elif d == n:
u[b] = a
else:
u[a], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
x, y = f()
i, j = (s[x], s[y])
a, c = (u[i], u[j])
p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
157
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')
158
import copy
n = int(input())
flg = 0
mat1 = []
mat2 = []
mats = []
for i in range(0, n):
mat1.append(tuple(input().strip()))
for i in range(0, n):
mat2.append(tuple(input().strip()))
mats.append(mat2)
matu = copy.copy(mat2)
matv = copy.copy(mat2)
matv = list(zip(*matv))
mats.append(matv)
mattem = copy.copy(matu)
for i in range(0, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
mattem = copy.copy(matv)
for i in range(0, 3):
mattem = list(zip(*list(reversed(mattem))))
mats.append(mattem)
flg = 0
for cmat in mats:
flg2 = 1
for ri in range(3, n):
if cmat[ri] != mat1[ri]:
flg2 = 0
break
if flg2 == 1:
flg = 1
break
if flg == 1:
print('Yes')
else:
print('No')
159
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)
160
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 0
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
161
import sys, math
f = sys.stdin
def modInverse(a, m):
g = gcd(a, m)
if g != 1:
return None
else:
return power(a, m - 2, m)
def power(x, y, m):
if y == 0:
return 1
p = power(x, y // 2, m) ** 6
if y & 1 == 1:
p *= x
return p % m
def gcd(a, b):
while a != 0:
t = b % a
b = a
a = t
return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
next_pos = [0, 0]
if a1 == 0 and a2 == 0:
next_pos[0] += pos[0] * m
next_pos[1] += pos[0] * m * (m - 1) // 2
next_pos[1] += pos[1] * m * m
all_pos *= m * m
elif a1 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (m - a2)
next_pos[1] += pos[1] * m
all_pos *= m
elif a2 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (a1 - 1)
next_pos[1] += pos[1] * m
all_pos *= m
else:
if a1 > a2:
next_pos[1] += pos[0]
elif a1 == a2:
next_pos[0] += pos[0]
next_pos[1] += pos[1]
pos = next_pos
if pos[0] == 0:
break
g = gcd(pos[0], all_pos)
g = gcd(pos[1], g)
pos[0] //= g
pos[1] //= g
all_pos //= g
pos[0] %= 1000000007
pos[1] %= 1000000007
all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p //= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
162
f = lambda: input().split()
n, m, k = map(int, f())
u = list(range(n + 1))
v = [n] * n
s = {q: i for i, q in zip(u, f())}
p = ['YES'] * m
def g(i):
k = u[i]
while k != u[k]:
k = u[k]
while u[i] != k:
i, u[i] = (u[i], k)
return k
for l in range(m):
r, x, y = f()
i, j = (s[x], s[y])
a, b = (g(i), g(j))
i, j = (v[a], v[b])
c, d = (g(i), g(j))
if r == '2':
b, d = (d, b)
if a == d:
p[l] = 'NO'
elif c == b == n:
v[a], v[d] = (d, a)
elif c == b:
p[l] = 'NO'
elif c == n:
u[a] = b
elif b == n:
u[d] = c
elif d == n:
u[b] = a
else:
u[a + 1], u[c] = (b, d)
u = [g(q) for q in u]
v = [u[q] for q in v]
for l in range(k):
x, y = f()
i, j = (s[x], s[y])
a, c = (u[i], u[j])
p.append(str(3 - 2 * (a == c) - (a == v[c])))
print('\n'.join(p))
163
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] * prefix_sum[-n - 1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx <= i:
temp += flowers_b[i] * remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
164
from sys import stdin
def create_dp1(matrix, n, m):
dp = [[4 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
elif i - 1 < 0 and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp2(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i + 1 >= n and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
def create_dp3(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
if i + 1 >= n and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp4(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m - 1, -1, -1):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i - 1 < 0 and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
n, m = list(map(int, stdin.readline().split()))
matrix = []
for _ in range(n):
matrix.append(list(map(int, stdin.readline().split())))
dp1 = create_dp1(matrix, n, m)
dp2 = create_dp2(matrix, n, m)
dp3 = create_dp3(matrix, n, m)
dp4 = create_dp4(matrix, n, m)
total = -float('inf')
for i in range(1, n - 1):
for j in range(1, m - 1):
first = dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1]
second = dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j]
total = max(total, first, second)
print(total)
165
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 0, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[-n - 1:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
166
from math import gcd
p = 10 ** 9 + 7
class RN:
p = 10 ** 9 + 7
def __init__(self, u, d):
self.u = u
self.d = d
def __str__(self):
return str(self.u) + '/' + str(self.d)
def cleanup(self):
self.u = self.u % p
self.d = self.d % p
def add(self, u, d):
self.u = self.u * d + u * self.d
self.d = self.d * d
self.cleanup()
def mult(self, u, d):
return (self.u * u % p, self.d * d % p)
def mult_ip(self, u, d):
self.u, self.d = (self.u * u, self.d * d % p)
def get_m_exp(self):
self.cleanup()
a = gcd(self.u, self.d)
self.u //= a
self.d //= a
return pow(self.d, p - 2, p) * self.u % p
n, m = tuple(map(int, input().split()))
s1 = list(map(int, input().split()))
s2 = list(map(int, input().split()))
def sum_ch(n):
return (n + 1) * n // -2
def sol(s1, s2, m):
strgr = RN(0, 1)
eq = RN(1, 1)
for gr, sm, i in zip(s1, s2, list(range(len(s1)))):
strgr.cleanup()
if gr != 0 and sm != 0:
if gr == sm:
continue
elif gr < sm:
return strgr.get_m_exp()
else:
strgr.add(eq.u, eq.d)
return strgr.get_m_exp()
else:
if gr == sm == 0:
strgr.add(*eq.mult(sum_ch(m - 1), m * m))
elif gr == 0:
strgr.add(*eq.mult(m - sm, m))
else:
strgr.add(*eq.mult(gr - 1, m))
eq.mult_ip(1, m)
return strgr.get_m_exp()
'\na = sol([0,0],[1,1], 2) # 3/4\n\na = sol([0,0,0],[1,1,1], 2) # 7/8\na = sol([0,1,1],[1,1,1], 2) # 1/2\na = sol([1,0,1],[1,1,1], 2) # 1/2\n\na = sol([0,0,0],[1,3,3], 3) # 2/2\na = sol([0,0,0],[1,1,0], 2) # 5/8\na = sol([0,0,0],[0,0,0], 2) # 13/16\n'
print(sol(s1, s2, m))
167
n, q = list(map(int, input().split()))
count = [0 for i in range(n + 1)]
queue = []
read = set()
unread = 0
ans = []
last_q_idx = 0
last_app_idx = [1 for i in range(n + 1)]
for i in range(q):
action, num = list(map(int, input().split()))
if action == 1:
queue.append((num, count[num] + 1))
count[num] += 1
unread += 1
elif action == 2:
for number in range(last_app_idx[num], count[num] + 1):
if (num, number) not in read:
read.add((num, number))
unread -= 1
last_app_idx[num] = max(last_app_idx[num], count[num])
else:
for idx in range(last_q_idx, num):
app, number = queue[idx]
if not (app, number) not in read:
read.add((app, number))
last_app_idx[app] = max(last_app_idx[app], number)
unread -= 1
last_q_idx = max(last_q_idx, num)
ans.append(unread)
print('\n'.join(map(str, ans)))
168
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 4, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[-n:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
169
n, v = map(int, input().split())
T = 3010
a = [[] for i in range(T)]
for i in range(n):
x, y = map(int, input().split())
a[x].append([y, 1])
ans = 0
for i in range(T):
a[i] = a[i][::-1]
j = 0
cur = v
while j < len(a[i]):
if a[i][j][0] > cur:
ans += cur
if a[i][j][1] == 0:
j += 1
else:
a[i][j][0] -= cur
break
else:
ans += a[i][j][0]
cur -= a[i][j][0]
j += 1
for t in range(j, len(a[i])):
if a[i][t][1] != 0:
a[i + 1].append([a[i][t][0], 0])
print(ans)
170
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 3, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[-n:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
171
from sys import stdin
def create_dp1(matrix, n, m):
dp = [[2 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
elif i - 1 < 0 and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp2(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i + 1 >= n and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
def create_dp3(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
if i + 1 >= n and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp4(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m - 1, -1, -1):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i - 1 < 0 and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
n, m = list(map(int, stdin.readline().split()))
matrix = []
for _ in range(n):
matrix.append(list(map(int, stdin.readline().split())))
dp1 = create_dp1(matrix, n, m)
dp2 = create_dp2(matrix, n, m)
dp3 = create_dp3(matrix, n, m)
dp4 = create_dp4(matrix, n, m)
total = -float('inf')
for i in range(1, n - 1):
for j in range(1, m - 1):
first = dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1]
second = dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j]
total = max(total, first, second)
print(total)
172
n, v = list(map(int, input().split()))
f = list()
for i in range(n):
f.append(list(map(int, input().split())))
f.sort()
sum = 0
today = 0
tomor = 0
day = 0
rest = 0
for tree in f:
if tree[0] > day + 1:
sum += min(tomor, v)
tomor = tree[0]
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor -= min(tomor, v)
day = tree[0]
elif tree[0] == day + 1:
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor = tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
day = tree[0]
else:
tomor += tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
sum += min(tomor, v)
print(sum)
173
n, m = map(int, input().split())
a = []
for i in range(n):
a.append(list(map(int, input().split())))
dpa = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
dpb = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
ans = 0
for i in range(1, n + 1):
for j in range(1, m + 1):
dpa[i][j][0] = max(dpa[i - 1][j][0], dpa[i][j - 1][0]) + a[i - 1][j - 1]
dpa[n + 1 - i][m + 1 - j][1] = max(dpa[n + 2 - i][m + 1 - j][1], dpa[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(n, 0, -1):
for j in reversed(range(1, m + 1)):
dpb[i][j][0] = max(dpb[i + 1][j][0], dpb[i][j - 1][0]) + a[i - 1][j - 1]
dpb[n + 1 - i][m + 1 - j][1] = max(dpb[n - i][m + 1 - j][1], dpb[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(2, n):
for j in range(2, m):
x = dpa[i - 1][j][0] + dpa[i + 1][j][1] + dpb[i][j - 1][0] + dpb[i][j + 1][1]
y = dpb[i + 1][j][0] + dpb[i - 1][j][1] + dpa[i][j - 1][0] + dpa[i][j + 1][1]
ans = max(ans, x, y)
print(ans)
174
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] - prefix_sum[-n - 1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx < i:
temp += flowers_b[i] * remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
175
n = int(input())
ns = []
for i in range(n):
s = input()
ns.append(s)
ns2 = []
for i in range(n):
s = input()
ns2.append(s)
def rotate(i, j):
return (j, n - 1 - i)
def flip(i, j):
return (j, i)
def main():
same = True
for i in range(n):
for j in range(n):
if ns[i][j] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = flip(i, j)
if not ns[a][b] != ns2[i][j]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
same = True
for i in range(n):
for j in range(n):
a, b = rotate(i, j)
a, b = rotate(a, b)
a, b = rotate(a, b)
a, b = flip(a, b)
if ns[i][j] != ns2[a][b]:
same = False
break
if same == False:
break
if same:
return True
else:
return False
if main():
print('Yes')
else:
print('No')
176
import sys
input = sys.stdin.readline
from collections import deque
class Unionfind:
def __init__(self, n):
self.par = [-1] * n
self.rank = [1] * n
def root(self, x):
p = x
while not self.par[p] < 0:
p = self.par[p]
while x != p:
tmp = x
x = self.par[x]
self.par[tmp] = p
return p
def unite(self, x, y):
rx, ry = (self.root(x), self.root(y))
if rx == ry:
return False
if self.rank[rx] < self.rank[ry]:
rx, ry = (ry, rx)
self.par[rx] += self.par[ry - 1]
self.par[ry] = rx
if self.rank[rx] == self.rank[ry]:
self.rank[rx] += 1
def is_same(self, x, y):
return self.root(x) == self.root(y)
def count(self, x):
return -self.par[self.root(x)]
def bfs(s):
q = deque([s])
color[s] = 1
b, w = (1, 0)
while q:
v = q.popleft()
for nv in adj_list[v]:
if color[nv] == 0:
color[nv] = -color[v]
q.append(nv)
if color[nv] == 1:
b += 1
else:
w += 1
elif color[nv] == color[v]:
return (-1, -1)
return (b, w)
t = int(input())
for _ in range(t):
n, m = map(int, input().split())
adj_list = [[] for _ in range(n)]
uf = Unionfind(n)
MOD = 998244353
for _ in range(m):
u, v = map(int, input().split())
adj_list[u - 1].append(v - 1)
adj_list[v - 1].append(u - 1)
uf.unite(u - 1, v - 1)
roots = set((uf.root(i) for i in range(n)))
ans = 1
color = [0] * n
for r in roots:
if uf.count(r) == 1:
ans *= 3
else:
b, w = bfs(r)
if b == -1:
ans = 0
break
else:
ans *= pow(2, b, MOD) + pow(2, w, MOD)
ans %= MOD
print(ans)
177
def get_relation(synonyms, antonyms, word1, word2):
if word1 not in synonyms or word2 not in synonyms:
return '3'
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 == group2:
return '1'
if group1 in antonyms and antonyms[group1] == group2:
return '2'
return '3'
def unify_synonyms(synonyms, groups, group1, group2):
min_group = min(group1, group2)
max_group = max(group1, group2)
max_synonyms = groups[max_group]
for synonym in max_synonyms:
synonyms[synonym] = min_group
update_groups(groups, min_group, max_synonyms)
return (min_group, max_group)
def make_synonyms(synonyms, antonyms, groups, group1, group2):
min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
if group1 in antonyms and group2 not in antonyms:
min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
del antonyms[min_group1]
del antonyms[max_group1]
del antonyms[min_group2]
del antonyms[max_group2]
antonyms[min_group1] = min_group2
antonyms[min_group2] = min_group1
return min_group1
if max_group1 in antonyms:
antonym_group = antonyms[max_group1]
del antonyms[max_group1]
antonyms[min_group1] = antonym_group
antonyms[antonym_group] = min_group1
return min_group1
def update_groups(groups, group, words):
if group in groups:
groups[group].update(words)
else:
groups.update({group: set(words)})
def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
if relation == '1':
if word1 not in synonyms and word2 not in synonyms:
current_group += 1
synonyms[word1] = current_group
synonyms[word2] = current_group
update_groups(groups, current_group, [word1, word2])
return current_group
if word1 not in synonyms:
synonyms[word1] = synonyms[word2]
update_groups(groups, synonyms[word2], [word1])
return current_group
if word2 not in synonyms:
synonyms[word2] = synonyms[word1]
update_groups(groups, synonyms[word1], [word2])
return current_group
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 != group2:
make_synonyms(synonyms, antonyms, groups, group1, group2)
return current_group
if relation == '2':
if word1 not in synonyms:
current_group += 1
group1 = current_group
synonyms[word1] = group1
update_groups(groups, group1, [word1])
else:
group1 = synonyms[word1]
if word2 not in synonyms:
current_group += 1
group2 = current_group
synonyms[word2] = group2
update_groups(groups, group2, [word2])
else:
group2 = synonyms[word2]
if group1 not in antonyms and group2 not in antonyms:
antonyms[group1] = group2
antonyms[group2] = group1
return current_group
if group1 in antonyms and antonyms[group1] != group2:
antonym_group = antonyms[group1]
group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
if group2 in antonyms and antonyms[group2] != group1:
antonym_group = antonyms[group2]
make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
return current_group
def make_relations(relation_no):
synonyms = dict()
antonyms = dict()
groups = dict()
current_group = 0
for relation in range(relation_no):
relation, word1, word2 = input().split()
current_relation = get_relation(synonyms, antonyms, word1, word2)
if current_relation == '2' and relation == '1':
print('NO')
continue
if current_relation == '1' and relation == '2':
print('NO')
continue
print('YES')
current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
return (synonyms, antonyms)
def answer_questions(question_no, synonyms, antonyms):
for question in range(question_no):
word1, word2 = input().split()
print(get_relation(synonyms, antonyms, word1, word2))
def main():
word_no, relation_no, question_no = [int(number) for number in input().split()]
input()
synonyms, antonyms = make_relations(relation_no)
answer_questions(question_no, synonyms, antonyms)
main()
178
def ii():
return int(input())
def ss():
return [x for x in input()]
def si():
return [int(x) for x in input().split()]
def mi():
return map(int, input().split())
a, b = mi()
s = []
ans = 0
key = True
for i in range(a):
i = si()
s.append(i)
ans += sum(i)
for i in range(a - 1):
if not (s[i][0] < s[i + 1][0] and s[i][-1] < s[i + 1][-1]):
ans = -1
key = False
break
for i in range(b - 1):
if not (s[0][i] < s[0][i + 1] and s[-1][i] < s[-1][i + 1]):
ans = -1
key = False
break
for i in range(a - 2, 0, -1):
if not key:
break
for x in range(b - 2, 0, -1):
if s[i][x] < s[i + 1][x] and s[i][x] < s[i][x + 1]:
if s[i][x] == 0:
s[i][x] = min(s[i + 1][x], s[i][x + 1]) - 1
ans += s[i][x]
else:
ans = -1
key = False
break
print(ans)
179
from collections import defaultdict
import sys
input = sys.stdin.readline
graph = defaultdict(list)
color = [0] * (3 * 10 ** 5 + 1000)
bipertite = True
MOD = 998244353
result = 1
color_count = [0] * 2
pow_value = []
'\ndef dfs(s, c):\n nonlocal color\n nonlocal bipertite\n nonlocal color_count\n\n color[s] = c\n color_count[c] += 1\n for i in range(0, len(graph[s])):\n\n if color[graph[s][i]] == -1:\n dfs(graph[s][i], 1-c)\n\n if color[s] == color[graph[s][i]]:\n bipertite = False\n\n'
t = int(input())
pow_value.append(1)
for i in range(1, 3 * 10 ** 5 + 1000):
next_value = pow_value[i - 1] * 2 % MOD
pow_value.append(next_value)
while t:
n, m = list(map(int, input().split()))
if m == 0:
print(pow(3, n, MOD))
t -= 1
continue
graph.clear()
bipertite = True
result = 1
for node in range(0, n + 1):
color[node] = -1
while m:
u, v = list(map(int, input().split()))
graph[u].append(v)
graph[v].append(u)
m -= 1
for i in range(1, n + 1 - 1):
if color[i] != -1:
continue
bipertite = True
color_count[0] = color_count[1] = 0
queue = []
queue.append(i)
color[i] = 0
color_count[0] += 1
while queue:
if bipertite == False:
break
front_node = queue.pop()
for child_node in range(0, len(graph[front_node])):
if color[graph[front_node][child_node]] == -1:
color[graph[front_node][child_node]] = 1 - color[front_node]
queue.append(graph[front_node][child_node])
color_count[color[graph[front_node][child_node]]] += 1
elif color[front_node] == color[graph[front_node][child_node]]:
bipertite = False
break
if bipertite == False:
print(0)
break
current = (pow_value[color_count[0]] + pow_value[color_count[1]]) % MOD
result = result * current % MOD
if bipertite:
print(result)
t -= 1
180
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 0
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += 3
noti += [xt]
num += 1
num2 += 1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
181
from collections import defaultdict
import sys
input = sys.stdin.readline
graph = defaultdict(list)
color = [0] * (3 * 10 ** 5 + 1000)
bipertite = True
MOD = 998244357
result = 1
color_count = [0] * 2
pow_value = []
'\ndef dfs(s, c):\n nonlocal color\n nonlocal bipertite\n nonlocal color_count\n\n color[s] = c\n color_count[c] += 1\n for i in range(0, len(graph[s])):\n\n if color[graph[s][i]] == -1:\n dfs(graph[s][i], 1-c)\n\n if color[s] == color[graph[s][i]]:\n bipertite = False\n\n'
t = int(input())
pow_value.append(1)
for i in range(1, 3 * 10 ** 5 + 1000):
next_value = pow_value[i - 1] * 2 % MOD
pow_value.append(next_value)
while t:
n, m = list(map(int, input().split()))
if m == 0:
print(pow(3, n, MOD))
t -= 1
continue
graph.clear()
bipertite = True
result = 1
for node in range(0, n + 1):
color[node] = -1
while m:
u, v = list(map(int, input().split()))
graph[u].append(v)
graph[v].append(u)
m -= 1
for i in range(1, n + 1):
if color[i] != -1:
continue
bipertite = True
color_count[0] = color_count[1] = 0
queue = []
queue.append(i)
color[i] = 0
color_count[0] += 1
while queue:
if bipertite == False:
break
front_node = queue.pop()
for child_node in range(0, len(graph[front_node])):
if color[graph[front_node][child_node]] == -1:
color[graph[front_node][child_node]] = 1 - color[front_node]
queue.append(graph[front_node][child_node])
color_count[color[graph[front_node][child_node]]] += 1
elif color[front_node] == color[graph[front_node][child_node]]:
bipertite = False
break
if bipertite == False:
print(0)
break
current = (pow_value[color_count[0]] + pow_value[color_count[1]]) % MOD
result = result * current % MOD
if bipertite:
print(result)
t -= 1
182
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 4
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
183
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)
184
n, v = map(int, input().split())
T = 3010
a = [[] for i in range(T)]
for i in range(n):
x, y = map(int, input().split())
a[x].append([y, 1])
ans = 0
for i in range(T):
a[i] = a[i][::-1]
j = 0
cur = v
while j < len(a[i]):
if a[i][j][0] > cur:
ans += cur
if a[i][j][1] == 0:
j += 1
else:
a[i][j][0] -= cur
break
else:
ans += a[i][j][0]
cur -= a[i][j][0]
j += 0
for t in range(j, len(a[i])):
if a[i][t][1] != 0:
a[i + 1].append([a[i][t][0], 0])
print(ans)
185
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 0
for i in range(n):
sun -= acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
186
import sys
input = sys.stdin.readline
n, q = map(int, input().split())
l = [[] for _ in range(n)]
is_read = []
is_read_idx = 0
ans = 0
prev_t = 0
for _ in range(q):
ty, v = map(int, input().split())
if ty == 1:
l[v - 1].append(is_read_idx)
is_read_idx += 1
is_read.append(False)
ans += 1
elif ty == 2:
for idx in l[v - 1]:
if not is_read[idx]:
is_read[idx] = True
ans -= 1
l[v - 1] = []
elif v > prev_t:
for idx in range(prev_t + 1, v):
if not is_read[idx]:
is_read[idx] = True
ans -= 1
prev_t = v
print(ans)
187
f = lambda: input().split()
n, m, k = map(int, f())
c = {x: ([x], []) for x in f()}
for i in range(m):
t, x, y = f()
s = 2 - int(t)
cx, cy = (c[x], c[y])
if cx[0] is cy[s]:
print('NO')
continue
print('YES')
if cx[0] is cy[1 - s]:
continue
if len(cx[0]) + len(cx[1]) < len(cy[0]) + len(cy[1]):
cx, cy = (cy, cx)
ux, vx = cx
if s:
uy, vy = cy
else:
vy, uy = cy
ux += uy
vx += vy
for x in uy:
c[x] = (ux, vx)
for x in vy:
c[x] = (vx, ux)
for i in range(k):
x, y = f()
print(1 if c[x][0] is c[y][0] else 2 if c[x][0] is c[y][1] else 0)
188
from collections import deque
from sys import stdin, stdout
input = stdin.readline
saida = []
t = int(input())
modulo = 998244353
for _ in range(t):
ans = 1
part = 0
factor = 0
fila = deque([])
n, m = map(int, input().split())
if m >= n // 2 * (n // 2 + 1):
saida.append('0')
for edge_count in range(m):
input()
continue
edge = [[] for i in range(n + 1)]
visitados = [-1] * (n + 1)
assure = 1
for arestas in range(m):
u, v = map(int, input().split())
edge[u].append(v)
edge[v].append(u)
visitados[1] = 0
fila.append(1)
break_all = False
while not break_all:
par, impar = (1, 0)
while fila and (not break_all):
search = fila.popleft()
current = visitados[search]
for i in edge[search]:
if visitados[i] == -1:
visitados[i] = current ^ 1
if visitados[i] & 1:
impar += 1
else:
par += 1
fila.append(i)
elif visitados[i] == current:
break_all = True
else:
assert visitados[i] == current ^ 1
if break_all:
ans = 0
elif (par, impar) == (1, 0):
factor += 1
else:
ans *= pow(2, par, modulo) + pow(2, impar, modulo)
ans %= modulo
while assure <= n:
if visitados[assure] == -1:
part += 1
visitados[assure] = 2 * part
fila.append(assure)
break
assure += 1
if assure == n + 1:
break
ans *= pow(3, factor, modulo)
ans %= modulo
saida.append(str(ans))
print('\n'.join(saida))
189
import sys, math
f = sys.stdin
def modInverse(a, m):
g = gcd(a, m)
if g != 1:
return None
else:
return power(a, m - 2, m)
def power(x, y, m):
if y == 0:
return 1
p = power(x, y // 2, m) ** 2
if y & 1 == 1:
p *= x
return p % m
def gcd(a, b):
while a != 0:
t = b % a
b = a
a = t
return b
n, m = list(map(int, f.readline().split()))
s1 = list(map(int, f.readline().split()))
s2 = list(map(int, f.readline().split()))
pos = [1, 0]
all_pos = 1
for a1, a2 in zip(s1, s2):
next_pos = [0, 0]
if a1 == 0 and a2 == 0:
next_pos[0] += pos[0] * m
next_pos[1] += pos[0] * m * (m - 1) // 2
next_pos[1] += pos[1] * m * m
all_pos *= m * m
elif a1 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (m - a2)
next_pos[1] += pos[1] * m
all_pos *= m
elif a2 == 0:
next_pos[0] += pos[0]
next_pos[1] += pos[0] * (a1 - 1)
next_pos[1] += pos[1] * m
all_pos *= m
else:
if a1 > a2:
next_pos[1] += pos[0]
elif a1 == a2:
next_pos[0] += pos[0]
next_pos[1] += pos[1]
pos = next_pos
if pos[0] == 0:
break
g = gcd(pos[0], all_pos)
g = gcd(pos[1], g)
pos[0] //= g
pos[1] //= g
all_pos //= g
pos[0] %= 1000000007
pos[1] %= 1000000007
all_pos %= 1000000007
p = pos[1]
q = all_pos
pq_gcd = gcd(p, q)
p *= pq_gcd
q //= pq_gcd
q_inv = modInverse(q, 1000000007)
print(p * q_inv % 1000000007)
190
n, q = list(map(int, input().split()))
count = [0 for i in range(n + 1)]
queue = []
read = set()
unread = 0
ans = []
last_q_idx = 0
last_app_idx = [1 for i in range(n + 1)]
for i in range(q):
action, num = list(map(int, input().split()))
if action == 1:
queue.append((num, count[num] + 5))
count[num] += 1
unread += 1
elif action == 2:
for number in range(last_app_idx[num], count[num] + 1):
if (num, number) not in read:
read.add((num, number))
unread -= 1
last_app_idx[num] = max(last_app_idx[num], count[num])
else:
for idx in range(last_q_idx, num):
app, number = queue[idx]
if (app, number) not in read:
read.add((app, number))
last_app_idx[app] = max(last_app_idx[app], number)
unread -= 1
last_q_idx = max(last_q_idx, num)
ans.append(unread)
print('\n'.join(map(str, ans)))
191
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] - prefix_sum[-n - -1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx <= i:
temp += flowers_b[i] * remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
192
def fast(a, b):
if b == 0:
return 1
if b % 2 == 1:
return a * fast(a, b - 1) % mod
x = fast(a, b / 2) % mod
return x * x % mod
n, m = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
p = 0
q = 1
z1 = 1
z2 = 1
mod = 1000000007
for i in range(0, n):
if a[i] != 0 and b[i] != 0:
if a[i] == b[i]:
continue
if a[i] > b[i]:
p = (p * z2 % mod + q * z1 % mod) % mod
q = q * z2 % mod
break
if a[i] == 0 and b[i] != 0:
p = (p * m * z2 % mod + z1 * q * (m - b[i]) % mod) // mod
q = q * z2 * m % mod
z2 = z2 * m % mod
if a[i] != 0 and b[i] == 0:
p = (p * m * z2 % mod + z1 * q * (a[i] - 1) % mod) % mod
q = q * z2 * m % mod
z2 = z2 * m % mod
if a[i] == 0 and b[i] == 0:
p = (p * m * 2 * z2 + z1 * q * (m - 1)) % mod
q = q * z2 * 2 * m % mod
z2 = z2 * m % mod
print(p * (fast(q, mod - 2) % mod) % mod)
193
n, v = list(map(int, input().split()))
f = list()
for i in range(n):
f.append(list(map(int, input().split())))
f.sort()
sum = 0
today = 0
tomor = 0
day = 0
rest = 0
for tree in f:
if tree[0] >= day + 1:
sum += min(tomor, v)
tomor = tree[1]
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor -= min(tomor, v)
day = tree[0]
elif tree[0] == day + 1:
sum += min(tomor, v)
rest = v - min(tomor, v)
tomor = tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
day = tree[0]
else:
tomor += tree[1]
t = min(tomor, rest)
sum += t
rest -= t
tomor -= t
sum += min(tomor, v)
print(sum)
194
total_plucked = 0
n, v = list(map(int, input().split()))
fruits = [0] * 3002
plucked = [0] * 30002
for _ in range(n):
a, b = list(map(int, input().split()))
fruits[a] = fruits[a] + b
for i in range(1, 3002):
plucked[i] = fruits[i - 1] if fruits[i - 1] <= v else v
if plucked[i] < v:
pluck = fruits[i] if fruits[i] <= v - plucked[i + 1] else v - plucked[i]
plucked[i] += pluck
fruits[i] -= pluck
total_plucked += plucked[i]
print(total_plucked)
195
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)
196
import sys
import math
n, v = [int(x) for x in sys.stdin.readline().split()]
k = [0] * 3002
for i in range(n):
a, b = [int(x) for x in sys.stdin.readline().split()]
k[a] += b
i = 1
res = 0
while i <= 3001:
val = 0
if k[i - 1] < v:
val = k[i - 1]
res += val
d = v - val
if k[i] < d:
res += k[i]
k[i] = 0
else:
res += d
k[i + 1] = k[i] - d
else:
res += v
i += 1
print(res)
197
n, q = list(map(int, input().split()))
count = [0 for i in range(n + 1)]
queue = []
read = set()
unread = 0
ans = []
last_q_idx = 0
last_app_idx = [1 for i in range(n + 1)]
for i in range(q):
action, num = list(map(int, input().split()))
if action == 1:
queue.append((num, count[num] + 1))
count[num] += 1
unread += 1
elif action == 2:
for number in range(last_app_idx[num], count[num] + 1):
if (num, number) not in read:
read.add((num, number))
unread += 1
last_app_idx[num] = max(last_app_idx[num], count[num])
else:
for idx in range(last_q_idx, num):
app, number = queue[idx]
if (app, number) not in read:
read.add((app, number))
last_app_idx[app] = max(last_app_idx[app], number)
unread -= 1
last_q_idx = max(last_q_idx, num)
ans.append(unread)
print('\n'.join(map(str, ans)))
198
def get_relation(synonyms, antonyms, word1, word2):
if word1 not in synonyms or word2 not in synonyms:
return '3'
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 == group2:
return '1'
if group1 in antonyms and antonyms[group1] == group2:
return '2'
return '3'
def unify_synonyms(synonyms, groups, group1, group2):
min_group = min(group1, group2)
max_group = max(group1, group2)
max_synonyms = groups[max_group]
for synonym in max_synonyms:
synonyms[synonym] = min_group
update_groups(groups, min_group, max_synonyms)
return (min_group, max_group)
def make_synonyms(synonyms, antonyms, groups, group1, group2):
min_group1, max_group1 = unify_synonyms(synonyms, groups, group1, group2)
if group1 in antonyms and group2 in antonyms:
min_group2, max_group2 = unify_synonyms(synonyms, groups, antonyms[group1], antonyms[group2])
del antonyms[min_group1]
del antonyms[max_group1]
del antonyms[min_group2]
del antonyms[max_group2]
antonyms[min_group1] = min_group2
antonyms[min_group2] = min_group1
return min_group1
if max_group1 in antonyms:
antonym_group = antonyms[max_group1]
del antonyms[max_group1]
antonyms[min_group1] = antonym_group
antonyms[antonym_group] = min_group1
return min_group1
def update_groups(groups, group, words):
if group in groups:
groups[group].update(words)
else:
groups.update({group: set(words)})
def make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group):
if relation == '1':
if word1 not in synonyms and word2 not in synonyms:
current_group += 1
synonyms[word1] = current_group
synonyms[word2] = current_group
update_groups(groups, current_group, [word1, word2])
return current_group
if word1 not in synonyms:
synonyms[word1] = synonyms[word2]
update_groups(groups, synonyms[word2], [word1])
return current_group
if word2 not in synonyms:
synonyms[word2] = synonyms[word1]
update_groups(groups, synonyms[word1], [word2])
return current_group
group1 = synonyms[word1]
group2 = synonyms[word2]
if group1 != group2:
make_synonyms(synonyms, antonyms, groups, group1, group2)
return current_group
if relation == '2':
if word1 not in synonyms:
current_group += 1
group1 = current_group
synonyms[word1] = group1
update_groups(groups, group1, [word1])
else:
group1 = synonyms[word1]
if word2 not in synonyms:
current_group += 1
group2 = current_group
synonyms[word2] = group2
update_groups(groups, group2, [word2])
else:
group2 = synonyms[word2]
if group1 not in antonyms and group2 not in antonyms:
antonyms[group1] = group2
antonyms[group2] = group1
return current_group
if group1 in antonyms and antonyms[group1] == group2:
antonym_group = antonyms[group1]
group2 = make_synonyms(synonyms, antonyms, groups, group2, antonym_group)
if group2 in antonyms and antonyms[group2] != group1:
antonym_group = antonyms[group2]
make_synonyms(synonyms, antonyms, groups, group1, antonym_group)
return current_group
def make_relations(relation_no):
synonyms = dict()
antonyms = dict()
groups = dict()
current_group = 0
for relation in range(relation_no):
relation, word1, word2 = input().split()
current_relation = get_relation(synonyms, antonyms, word1, word2)
if current_relation == '2' and relation == '1':
print('NO')
continue
if current_relation == '1' and relation == '2':
print('NO')
continue
print('YES')
current_group = make_relation(synonyms, antonyms, groups, word1, word2, relation, current_group)
return (synonyms, antonyms)
def answer_questions(question_no, synonyms, antonyms):
for question in range(question_no):
word1, word2 = input().split()
print(get_relation(synonyms, antonyms, word1, word2))
def main():
word_no, relation_no, question_no = [int(number) for number in input().split()]
input()
synonyms, antonyms = make_relations(relation_no)
answer_questions(question_no, synonyms, antonyms)
main()
199
mod = 998244353
import sys
input = sys.stdin.readline
from collections import deque
from collections import Counter
def calc(s, a):
return (pow(2, s, mod) + pow(2, a - s, mod)) % mod
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))
testcase = int(input())
for test in range(testcase):
n, m = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGELIST = [[] for j in range(n + 1)]
ANS = 1
Group = [j for j in range(n + 1)]
for a, b in EDGE:
Union(a, b)
EDGELIST[a].append(b)
EDGELIST[b].append(a)
testing = [None] * (n + 1)
flag = 1
for i in range(1, n + 1):
if testing[i] != None:
continue
score = 1
allscore = 1
testing[i] = 2
QUE = deque([i])
while QUE:
x = QUE.pop()
for to in EDGELIST[x]:
if testing[to] == -testing[x]:
continue
if testing[to] == testing[x]:
flag = 0
break
testing[to] = -testing[x]
if testing[to] == 1:
score += 1
allscore += 1
QUE.append(to)
if flag == 0:
break
if flag == 0:
break
ANS = ANS * calc(score, allscore) % mod
if flag == 0:
print(0)
continue
print(ANS)
200
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
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.