001
from operator import or_, xor
import sys
n, m = map(int, input().split())
t = [list(map(int, input().split()))]
for i in range(n):
if i & 1 == 0:
t += [[t[i][j] | t[i][j + 1] for j in range(0, len(t[i]), 2)]]
else:
t += [[t[i][j] ^ t[i][j + 1] for j in range(0, len(t[i]), 2)]]
for s in sys.stdin:
p, b = s.split()
p = int(p) - 1
t[0][p] = int(b)
for j in range(n):
p = int(p / 2)
if j & 1 == 0:
t[j + 1][p] = t[j][int(p * 2)] | t[j][int(p * 2) + 1]
else:
t[j + 1][p] = t[j][int(p * 2) + 1] ^ t[j][int(p * 2) + 1]
sys.stdout.write(str(t[-1][0]) + '\n')
002
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & 1:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a < b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
003
def subsequence(arr1, arr2, n, m):
i = 0
j = 0
common = []
while i < n and j < m:
if arr1[i] == arr2[j]:
common.append(i)
j += 1
i += 1
if j == m:
return common
return []
def find(arr, start, end, x, y, k):
stack = []
second_use_limit = 0
for i in range(start, end + 1):
if not stack:
stack.append(arr[i])
else:
while stack and arr[i] > stack[-1]:
second_use_limit += 1
stack.pop()
if not stack or arr[i] > stack[-1]:
stack.append(arr[i])
elif stack and arr[i] < stack[-1]:
second_use_limit += 1
while stack and start - 1 >= 0 and (arr[start - 1] > stack[0]):
stack.pop(0)
second_use_limit += 1
while stack and end + 1 < len(arr) and (arr[end + 1] > stack[-1]):
stack.pop()
second_use_limit += 1
min_cost = float('inf')
total = end - start + 1
i = 0
while i * k <= total:
rem = total * (i * k)
if rem <= second_use_limit:
min_cost = min(min_cost, i * x + rem * y)
i += 1
if min_cost == float('inf'):
return -1
return min_cost
def main():
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
arr1 = list(map(int, input().split()))
arr2 = list(map(int, input().split()))
common = subsequence(arr1, arr2, n, m)
if not common:
print(-1)
return
cost = 0
for i in range(len(common)):
if i == 0:
if common[i] > 0:
start = 0
end = common[i] - 1
if end >= start:
curr_cost = find(arr1, start, end, x, y, k)
if curr_cost == -1:
cost = -1
break
cost += curr_cost
start = common[i] + 1
if i + 1 < len(common):
end = common[i + 1] - 1
else:
end = n - 1
if end >= start:
curr_cost = find(arr1, start, end, x, y, k)
if curr_cost == -1:
cost = -1
break
cost += curr_cost
print(cost)
main()
004
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
b = int(input())
for j in range(len(bingolist)):
if b == Alist[j]:
bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 3) or (bingolist[1] + bingolist[4] + bingolist[7] == 3) or (bingolist[2] + bingolist[5] + bingolist[8] == 3) or (bingolist[0] + bingolist[4] + bingolist[8] == 3) or (bingolist[2] + bingolist[4] + bingolist[6] == 1):
print('Yes')
else:
print('No')
005
from operator import or_, xor
import sys
n, m = map(int, input().split())
t = [list(map(int, input().split()))]
for i in range(n):
if i & 1 == 0:
t += [[t[i][j] | t[i][j + 1] for j in range(0, len(t[i]), 2)]]
else:
t += [[t[i][j] ^ t[i][j + 1] for j in range(0, len(t[i]), 2)]]
for s in sys.stdin:
p, b = s.split()
p = int(p) - 1
t[0][p] = int(b)
for j in range(n):
p = int(p / 2)
if j & 1 == 0:
t[j + 1][p] = t[j][int(p * 2)] | t[j][int(p * 2) + 1]
else:
t[j + 1][p] = t[j][int(p * 2)] ^ t[j - 1][int(p * 2) + 1]
sys.stdout.write(str(t[-1][0]) + '\n')
006
def main():
n, M = [int(i) for i in input().split(' ')]
a = [0] + [int(i) for i in input().split(' ')] + [M]
n = n + 2
incr_sum = []
s = 0
for i in range(n):
if i % 2 == 1:
s += a[i] - a[i - 1]
incr_sum.append(s)
max_sum = s
for i in range(n - 4):
if a[i + 1] - a[i] != 1:
to_add = a[i + 1] - 1
s_ = incr_sum[i]
s_ += to_add - a[i]
s_ += a[-1] - a[i + 1] - (incr_sum[-1] - incr_sum[i + 1])
if s_ > max_sum:
max_sum = s_
print(max_sum)
def __starting_point():
main()
__starting_point()
007
n = int(input())
l = list(map(lambda x: int(x) * 2, input().split(' ')))
t = list(map(lambda x: 'GWL'.index(x), input()))
mins = [0 for i in range(0, n + 1)]
for i in range(n - 1, -1, -1):
if t[i] != 2:
mins[i] = max(mins[i + 1] - l[i], 0)
else:
mins[i] = mins[i + 1] + l[i]
curs = ans = st = 0
for i in range(0, n):
if t[i] == 0:
curs += l[i]
ans += l[i] * 5
if curs > mins[i + 1]:
ol = (curs - mins[i + 1]) // 2
ol = min(ol, l[i])
ans += 4 * ol
curs -= 2 * ol
if t[i] == 1:
st = 1
curs += l[i]
ans += l[i] * 3
if t[i] == 2:
if curs < l[i]:
ol = l[i] - curs
curs = l[i]
ans += ol * (3 if st else 5)
curs -= l[i]
ans += l[i]
if curs > 0:
ans -= curs // 2 * 2
print(ans // 2)
008
a_3_3 = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
b_n = [int(input()) for _ in range(n)]
class Info:
def __init__(self, a_3_3, n, b_n):
self.a_3_3 = a_3_3
self.n = n
self.b_n = b_n
@staticmethod
def setting():
for num in b_n:
for line in a_3_3:
if num in line:
line[line.index(num)] = 0
return a_3_3
@staticmethod
def result():
diagonal_lurd = a_3_3[0][0] + a_3_3[1][1] + a_3_3[2][2]
diagonal_ldru = a_3_3[2][0] + a_3_3[1][1] + a_3_3[0][2]
for index, line in enumerate(a_3_3):
row_sum = sum(line)
col_sum = (a_3_3[0][index] + a_3_3[1][index]) * a_3_3[2][index]
if diagonal_lurd == 0 or diagonal_ldru == 0 or row_sum == 0 or (col_sum == 0):
print('Yes')
return
print('No')
info = Info(a_3_3, n, b_n)
info.setting()
info.result()
009
def main():
A = [list(map(int, input().split())) for i in range(3)]
N = int(input())
b = [int(input()) for _ in range(N)]
for i in range(N):
for j in range(3):
for h in range(3):
if A[j][h] == b[i]:
A[j][h] = 0
if A[0][1] == 0 and A[0][1] == 0 and (A[0][2] == 0):
return 'Yes'
elif A[1][0] == 0 and A[1][1] == 0 and (A[1][2] == 0):
return 'Yes'
elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
return 'Yes'
elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
return 'Yes'
return 'No'
print(main())
010
import sys
YES = 'Yes'
NO = 'No'
def solve(A: 'List[List[int]]', N: int, b: 'List[int]'):
A_ = []
for a_ in A:
A_ += [[a__, False] for a__ in a_]
for b_ in b:
for a__ in A_:
if a__[0] == b_:
a__[1] = True
if A_[0][1] and (A_[1][1] and A_[2][1] or (A_[3][1] and A_[6][1]) or (A_[4][1] and A_[8][1])) or (A_[1][1] and A_[4][1] and A_[7][1]) or (A_[2][0] and A_[5][1] and A_[8][1]) or (A_[3][1] and A_[4][1] and A_[5][1]) or (A_[6][1] and A_[7][1] and A_[8][1]) or (A_[2][1] and A_[4][1] and A_[6][1]):
print(YES)
else:
print(NO)
return
def main():
def iterate_tokens():
for line in sys.stdin:
for word in line.split():
yield word
tokens = iterate_tokens()
A = [[int(next(tokens)) for _ in range(3)] for _ in range(3)]
N = int(next(tokens))
b = [int(next(tokens)) for _ in range(N)]
solve(A, N, b)
def __starting_point():
main()
__starting_point()
011
from operator import or_, xor
import sys
n, m = map(int, input().split())
t = [list(map(int, input().split()))]
for i in range(n):
if i & 1 == 0:
t += [[t[i][j] | t[i][j + 1] for j in range(0, len(t[i]), 2)]]
else:
t += [[t[i][j] ^ t[i][j + 1] for j in range(0, len(t[i]), 2)]]
for s in sys.stdin:
p, b = s.split()
p = int(p) - 1
t[0][p] = int(b)
for j in range(n):
p = int(p / 2)
if j & 1 == 0:
t[j + 1][p] = t[j][int(p * 2)] | t[j][int(p * 2) + 1]
else:
t[j + 1][p] = t[j - 1][int(p * 2)] ^ t[j][int(p * 2) + 1]
sys.stdout.write(str(t[-1][0]) + '\n')
012
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [5]]
slov[s[0]] = [[1], [0, 0]]
for j in range(1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += 1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
013
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) * abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) + abs(sy - fy)
edges[0].append((d, 1))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
014
import sys
dr = [0, 1, 0, -1]
dc = [1, 0, -1, -3]
rows, cols = map(int, sys.stdin.readline().split())
b = ['' for row in range(rows)]
sr, sc = (0, 0)
er, ec = (0, 0)
for row in range(rows):
b[row] = sys.stdin.readline().strip()
if 'S' in b[row]:
sr, sc = (row, b[row].index('S'))
if 'E' in b[row]:
er, ec = (row, b[row].index('E'))
dirs = sys.stdin.readline().strip()
res = 0
for i in range(4):
for j in range(4):
for k in range(4):
if j != i and i != k and (j != k):
l = 0 + 1 + 2 + 3 - (i + j + k)
r, c = (sr, sc)
p = [i, j, k, l]
ok = 0
for d in dirs:
di = int(d)
r += dr[p[di]]
c += dc[p[di]]
if r < 0 or r >= rows or c < 0 or (c >= cols) or (b[r][c] == '#'):
break
if b[r][c] == 'E':
ok = 1
res += ok
print(res)
015
def get_val(x, k, y, left_val, right_val, arr):
x, y = (y, x)
if not arr:
return 1
if len(arr) < k:
if max(arr) > max(left_val, right_val):
return -1
return len(arr) * x
if y < x * k:
n = len(arr)
res = 0
while n >= k:
n -= k
res += y
res += n * x
return res
elif max(arr) < max(left_val, right_val):
return len(arr) * x
else:
return (len(arr) - k) * x + y
def solve(x, k, y, a, b):
def check(a, b):
j = 0
i = 0
while i < len(a) and j < len(b):
if a[i] != b[j]:
i += 1
else:
i += 1
j += 1
return j == len(b)
if not check(a, b):
return -1
j = 0
left_val = -1
arr = []
res = 0
for num in a:
if j == len(b) or num != b[j]:
arr.append(num)
else:
val = get_val(x, k, y, left_val, num, arr)
if val == -1:
return -1
res += val
arr = []
left_val = num
j += 1
if arr:
val = get_val(x, k, y, left_val, -1, arr)
if val == -1:
return -1
res += val
return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
016
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
start_ls = list(map(int, input().split()))
end_ls = list(map(int, input().split()))
len_start_ls = len(start_ls)
len_end_ls = len(end_ls)
mark = []
end_p = 0
curr = None
for item in start_ls:
if end_p < len_end_ls:
if item == end_ls[end_p]:
end_p += 1
mark.append(0)
curr = item
elif curr is not None:
if item > curr:
mark.append(1)
else:
mark.append(2)
else:
mark.append(1)
elif curr is not None:
if item > curr:
mark.append(1)
else:
mark.append(2)
else:
mark.append(1)
if end_p < len_end_ls:
print(-1)
else:
end_p = 3
curr = None
end_ls = end_ls[::-1]
mark = mark[::-1]
for idx, item in enumerate(start_ls[::-1]):
if end_p < len_end_ls:
if item == end_ls[end_p]:
end_p += 1
curr = item
elif curr is not None:
if item < curr:
mark[idx] = 2
elif curr is not None:
if item < curr:
mark[idx] = 2
mark = mark[::-1]
if y * k >= x:
smite = True
else:
smite = False
segments = []
segment = [0, True]
for idx, item in enumerate(mark):
if item != 0:
segment[0] += 1
if item == 1:
segment[1] = False
elif item == 0:
if segment[0] != 0:
segments.append(segment)
segment = [0, True]
if segment[0] != 0:
segments.append(segment)
poss = True
res = 0
for segment in segments:
if segment[0] < k and (not segment[1]):
poss = False
break
elif segment[0] < k and segment[1]:
res += segment[0] * y
else:
if smite:
res += segment[0] // k * x
res += segment[0] % k * y
if not smite:
if segment[1]:
res += segment[0] * y
else:
res += x
res += (segment[0] - k) * y
if poss:
print(res)
else:
print(-1)
017
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10
def dijkstra(N, G, s):
dist = [INF] * N
que = [(0, s)]
dist[s] = 0
while que:
c, v = heappop(que)
if dist[v] < c:
continue
for t, cost in G[v]:
if dist[v] + cost < dist[t]:
dist[t] = dist[v] + cost
heappush(que, (dist[t], t))
return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
x, y = list(map(int, input().split()))
g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
vs.append((i - 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(x - bx, abs(y - by))
g[i].add((b, c))
g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(abs(x - bx), y - by)
g[i].add((b, c))
g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) + abs(fx - sx)))
018
from math import log
import sys
def buildTree(arr):
n = len(arr)
tree = [0] * n + arr
for i in range(n - 1 - 1, 0, -1):
z = int(log(i, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
else:
tree[i] = tree[2 * i] | tree[2 * i + 1]
elif z % 2 == 0:
tree[i] = tree[2 * i] | tree[2 * i + 1]
else:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
return tree
def updateTree(tree, ind, value, n):
ind += n
tree[ind] = value
while ind > 1:
ind //= 2
z = int(log(ind, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
elif z % 2 == 0:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
return tree
N, m = map(int, sys.stdin.readline().strip().split())
arr = list(map(int, sys.stdin.readline().strip().split()))
tree = buildTree(arr)
for i in range(m):
ind, val = map(int, sys.stdin.readline().strip().split())
tree = updateTree(tree, ind - 1, val, len(arr))
print(tree[1])
019
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
curl_ud_weights = [0] * n
curl_du_weights = [0] * n
sums = [0] * n
sums[n - 1] = a[n - 1] + b[n - 1]
curl_ud_weights[n - 1] = b[n - 1]
curl_du_weights[n - 1] = a[n - 1]
for i in range(n - 2, -1, -1):
sums[i] = sums[i + 1] + (a[i] + b[i])
remain = n * 2 - i * 2 - 1
curl_ud_weights[i] = sums[i + 1] + curl_ud_weights[i + 1] + remain * b[i]
curl_du_weights[i + 1] = sums[i + 1] + curl_du_weights[i + 1] + remain * a[i]
snake_weight = 0
max_weight = 0
current_weight = -1
for t in range(0, 2 * n, 2):
remain = t % 4
if remain == 0:
current_weight = sums[t // 2] * t + curl_ud_weights[t // 2] + snake_weight
snake_weight += a[t // 2] * t + b[t // 2] * (t + 1)
elif remain == 2:
current_weight = sums[t // 2] * t + curl_du_weights[t // 2] + snake_weight
snake_weight += b[t // 2] * t + a[t // 2] * (t + 1)
if current_weight > max_weight:
max_weight = current_weight
print(max_weight)
'\n3\n0 1 0\n0 0 0\n'
020
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[1])
y = int(l[-2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
if ai[i] == bi[curr]:
curr += 1
which.append(i)
if curr == m:
break
which.append(n)
ans = 0
if curr != m:
print(-1)
else:
poss = 1
for i in range(1, m + 2):
if which[i - 1] + 1 == which[i]:
continue
if i == 1:
z = ai[which[i]]
elif i == m + 1:
z = ai[which[i - 1]]
else:
z = max(ai[which[i]], ai[which[i - 1]])
maxa = max(ai[which[i - 1] + 1:which[i]])
num = which[i] - which[i - 1] - 1
if maxa > z and num < k:
poss = 0
break
if y * k <= x:
if maxa > z:
ans += x
ans += (num - k) * y
else:
ans += num * y
else:
ans += num // k * x
ans += num % k * y
if poss == 0:
print(-1)
else:
print(ans)
021
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[-1:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -2, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
022
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [4]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 1
best = min(best, a[j] - j - (a[i] - i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
023
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
dl = a[i] - a[i - 1]
if light:
gar.append(dl)
light = False
else:
shadow.append(dl)
light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
n = n // 2
else:
n = n // 2 + 1
for i in range(n):
if i != n - 1:
teclight += gar[i - 1]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
elif len(shadow) == n:
teclight += gar[i]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
print(lightmax)
024
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
if ai[i] == bi[curr]:
curr += 1
which.append(i)
if curr == m:
break
which.append(n)
ans = 0
if curr != m:
print(-1)
else:
poss = 1
for i in range(1, m + -2):
if which[i - 1] + 1 == which[i]:
continue
if i == 1:
z = ai[which[i]]
elif i == m + 1:
z = ai[which[i - 1]]
else:
z = max(ai[which[i]], ai[which[i - 1]])
maxa = max(ai[which[i - 1] + 1:which[i]])
num = which[i] - which[i - 1] - 1
if maxa > z and num < k:
poss = 0
break
if y * k <= x:
if maxa > z:
ans += x
ans += (num - k) * y
else:
ans += num * y
else:
ans += num // k * x
ans += num % k * y
if poss == 0:
print(-1)
else:
print(ans)
025
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26):
for l in range(N):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1 - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
026
def main():
A = [list(map(int, input().split())) for i in range(3)]
N = int(input())
b = [int(input()) for _ in range(N)]
for i in range(N):
for j in range(3):
for h in range(3):
if A[j][h] == b[i]:
A[j][h] = 0
if A[0][0] == 0 and A[0][1] == 0 and (A[0][-2] == 0):
return 'Yes'
elif A[1][0] == 0 and A[1][1] == 0 and (A[1][2] == 0):
return 'Yes'
elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
return 'Yes'
elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
return 'Yes'
return 'No'
print(main())
027
def read(type=1):
if type:
file = open('input.dat', 'r')
n = int(file.readline())
a = list(map(int, file.readline().split()))
b = file.readline()
file.close()
else:
n = int(input().strip())
a = list(map(int, input().strip().split()))
b = input().strip()
return (n, a, b)
def solve():
sol = 0
e = 0
big = 0
g = 0
for i in range(n):
if b[i] == 'W':
big = 1
sol += 3 * a[i]
e += a[i]
if b[i] == 'G':
sol += 5 * a[i]
e += a[i]
g += 2 * a[i]
if b[i] == 'L':
sol += a[i]
e -= a[i]
if e > 0:
if big:
sol -= 3 * e
else:
sol -= 5 * e
e = 0
g = min(g, e)
if e:
sol -= 2 * g
sol -= e - g
return int(sol)
n, a, b = read(0)
sol = solve()
print(sol)
028
a_3_3 = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
b_n = [int(input()) for _ in range(n)]
class Info:
def __init__(self, a_3_3, n, b_n):
self.a_3_3 = a_3_3
self.n = n
self.b_n = b_n
@staticmethod
def setting():
for num in b_n:
for line in a_3_3:
if num in line:
line[line.index(num)] = 0
return a_3_3
@staticmethod
def result():
diagonal_lurd = a_3_3[0][0] + a_3_3[1][1] + a_3_3[2][2]
diagonal_ldru = a_3_3[2][0] + a_3_3[1][1] + a_3_3[0][2]
for index, line in enumerate(a_3_3):
row_sum = sum(line)
col_sum = a_3_3[0][index] + a_3_3[1][index] + a_3_3[2][index]
if diagonal_lurd == 0 or diagonal_ldru == 3 or row_sum == 0 or (col_sum == 0):
print('Yes')
return
print('No')
info = Info(a_3_3, n, b_n)
info.setting()
info.result()
029
n = int(input())
t = list(map(int, input().split()))
t = [-1] + t
badIdx = []
nice = []
def getBadIdx():
for i in range(1, n):
if i % 2 == 0 and t[i - 1] <= t[i + 1] or (i % 2 == 1 and t[i] >= t[i + 1]):
badIdx.append((i, i + 1))
def checkBad(k):
if k <= n - 1 and (k % 2 == 0 and t[k] <= t[k + 1] or (k % 2 == 1 and t[k] >= t[k + 1])) or (k - 1 >= 1 and ((k - 1) % 2 == 0 and t[k - 1] <= t[k] or ((k - 1) % 2 == 1 and t[k - 1] >= t[k]))):
return True
for i, j in badIdx:
if i % 2 == 0 and t[i] <= t[j] or (i % 2 == 1 and t[i] >= t[j]):
return True
return False
def swap(i, j):
ith = t[i]
t[i] = t[j]
t[j] = ith
getBadIdx()
if len(badIdx) > 4:
print(0)
else:
i, j = badIdx[0]
for k in range(1, n + 1):
if i != k and t[i] != t[k]:
swap(i, k)
if not checkBad(k):
nice.append((i, k))
swap(i, k)
else:
swap(i, k)
if j != k and t[j] != t[k]:
swap(j, k)
if not checkBad(k):
nice.append((j, k))
swap(j, k)
else:
swap(j, k)
print(len(set([tuple(sorted(t)) for t in nice])))
030
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
dl = a[i] - a[i - 1]
if light:
gar.append(dl)
light = False
else:
shadow.append(dl)
light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
n = n // 2
else:
n = n // 2 + 1
for i in range(n):
if i != n - 1:
teclight += gar[i]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i - 1]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
elif len(shadow) == n:
teclight += gar[i]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
print(lightmax)
031
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
s = input()
for x in range(m):
c = s[x]
if c == 'S':
startpos = (x, y)
free[x, y] = True
elif c == 'E':
goal = (x, y)
free[x, y] = True
elif c == '.':
free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
for down in dire:
for right in dire:
for left in dire:
if len(set([up, down, left, right])) < 4:
continue
pos = startpos
for c in command:
x, y = pos
if c == up:
y += 1
elif c == down:
y -= 1
elif c == right:
x += 1
else:
x -= 5
pos = (x, y)
if pos == goal:
counts += 1
break
if not free[pos]:
break
print(counts)
032
import sys
YES = 'Yes'
NO = 'No'
def solve(A: 'List[List[int]]', N: int, b: 'List[int]'):
A_ = []
for a_ in A:
A_ += [[a__, False] for a__ in a_]
for b_ in b:
for a__ in A_:
if a__[0] == b_:
a__[1] = True
if A_[0][1] and (A_[1][1] and A_[2][1] or (A_[3][1] and A_[6][1]) or (A_[4][1] and A_[8][1])) or (A_[1][1] and A_[4][1] and A_[7][1]) or (A_[2][1] and A_[5][1] and A_[8][1]) or (A_[3][1] and A_[4][0] and A_[5][1]) or (A_[6][1] and A_[7][1] and A_[8][1]) or (A_[2][1] and A_[4][1] and A_[6][1]):
print(YES)
else:
print(NO)
return
def main():
def iterate_tokens():
for line in sys.stdin:
for word in line.split():
yield word
tokens = iterate_tokens()
A = [[int(next(tokens)) for _ in range(3)] for _ in range(3)]
N = int(next(tokens))
b = [int(next(tokens)) for _ in range(N)]
solve(A, N, b)
def __starting_point():
main()
__starting_point()
033
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 * tst] = max(dp[c][1 - tst], 1)
for k in range(j + 1, n):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
034
3
def needs_rep(t, i):
if i % 2 == 0:
return t[i] >= t[i + 1]
else:
return t[i] <= t[i + 1]
def would_need_rep(t, i, j1, j2):
n = len(t)
if i < 0:
return False
if i >= n - 1:
return False
tj1 = t[j2 - 1]
tj2 = t[j1]
ti = t[i]
if i == j1:
ti = tj1
if i == j2:
ti = tj2
ti1 = t[i + 1]
if i + 1 == j1:
ti1 = tj1
if i + 1 == j2:
ti1 = tj2
if i % 2 == 0:
return ti >= ti1
else:
return ti <= ti1
def main():
n = int(input())
t = [int(i) for i in input().split()]
rep = []
for i in range(n - 1):
if needs_rep(t, i):
rep.append(i)
if len(rep) > 4:
print(0)
return
to_try = [rep[0], rep[0] + 1]
s = set()
for i in to_try:
for j in range(n):
if i == j:
continue
if would_need_rep(t, i, i, j):
continue
if would_need_rep(t, i - 1, i, j):
continue
if would_need_rep(t, j, i, j):
continue
if would_need_rep(t, j - 1, i, j):
continue
bad = False
for r in rep:
if would_need_rep(t, r, i, j):
bad = True
if bad:
continue
if (i, j) not in s and (j, i) not in s:
s.add((i, j))
print(len(s))
def __starting_point():
main()
__starting_point()
035
import sys
dr = [0, 1, 0, -1]
dc = [1, -1, -1, 0]
rows, cols = map(int, sys.stdin.readline().split())
b = ['' for row in range(rows)]
sr, sc = (0, 0)
er, ec = (0, 0)
for row in range(rows):
b[row] = sys.stdin.readline().strip()
if 'S' in b[row]:
sr, sc = (row, b[row].index('S'))
if 'E' in b[row]:
er, ec = (row, b[row].index('E'))
dirs = sys.stdin.readline().strip()
res = 0
for i in range(4):
for j in range(4):
for k in range(4):
if j != i and i != k and (j != k):
l = 0 + 1 + 2 + 3 - (i + j + k)
r, c = (sr, sc)
p = [i, j, k, l]
ok = 0
for d in dirs:
di = int(d)
r += dr[p[di]]
c += dc[p[di]]
if r < 0 or r >= rows or c < 0 or (c >= cols) or (b[r][c] == '#'):
break
if b[r][c] == 'E':
ok = 1
res += ok
print(res)
036
def read(type=1):
if type:
file = open('input.dat', 'r')
n = int(file.readline())
a = list(map(int, file.readline().split()))
b = file.readline()
file.close()
else:
n = int(input().strip())
a = list(map(int, input().strip().split()))
b = input().strip()
return (n, a, b)
def solve():
sol = 0
e = 0
big = 0
g = 0
for i in range(n):
if b[i] == 'W':
big = 1
sol += 3 * a[i]
e += a[i]
if b[i] == 'G':
sol += 5 * a[i]
e += a[i]
g += 2 * a[i]
if b[i] == 'L':
sol += a[i - 1]
e -= a[i]
if e < 0:
if big:
sol -= 3 * e
else:
sol -= 5 * e
e = 0
g = min(g, e)
if e:
sol -= 2 * g
sol -= e - g
return int(sol)
n, a, b = read(0)
sol = solve()
print(sol)
037
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[-1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
if ai[i] == bi[curr]:
curr += 1
which.append(i)
if curr == m:
break
which.append(n)
ans = 0
if curr != m:
print(-1)
else:
poss = 1
for i in range(1, m + 2):
if which[i - 1] + 1 == which[i]:
continue
if i == 1:
z = ai[which[i]]
elif i == m + 1:
z = ai[which[i - 1]]
else:
z = max(ai[which[i]], ai[which[i - 1]])
maxa = max(ai[which[i - 1] + 1:which[i]])
num = which[i] - which[i - 1] - 1
if maxa > z and num < k:
poss = 0
break
if y * k <= x:
if maxa > z:
ans += x
ans += (num - k) * y
else:
ans += num * y
else:
ans += num // k * x
ans += num % k * y
if poss == 0:
print(-1)
else:
print(ans)
038
import sys
class SegmTree:
def __init__(self, size):
N = 1
while N < size:
N <<= 1
self.N = N
self.tree = [0] * (2 * N)
def modify(self, i, value):
i += self.N
self.tree[i] = value
toXOR = False
while i > 1:
if toXOR:
self.tree[i >> 1] = self.tree[i] ^ self.tree[(i ^ 1) + 1]
else:
self.tree[i >> 1] = self.tree[i] | self.tree[i ^ 1]
toXOR = not toXOR
i >>= 1
reader = (line.rstrip() for line in sys.stdin)
input = reader.__next__
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
st = SegmTree(1 << n)
for i, value in enumerate(a):
st.modify(i, value)
for _ in range(m):
p, b = list(map(int, input().split()))
st.modify(p - 1, b)
print(st.tree[1])
039
def get_val(x, k, y, left_val, right_val, arr):
x, y = (y, x)
if not arr:
return 0
if len(arr) < k:
if max(arr) > max(left_val, right_val):
return -1
return len(arr) * x
if y < x * k:
n = len(arr)
res = 0
while n >= k:
n -= k
res += y
res += n * x
return res
elif max(arr) < max(left_val, right_val):
return len(arr) * x
else:
return (len(arr) - k) * x + y
def solve(x, k, y, a, b):
def check(a, b):
j = 0
i = 0
while i < len(a) and j < len(b):
if a[i] != b[j]:
i += 1
else:
i += 1
j += 1
return j == len(b)
if not check(a, b):
return -1
j = 0
left_val = -1
arr = []
res = 0
for num in a:
if j == len(b) or num != b[j]:
arr.append(num)
else:
val = get_val(x, k, y, left_val, num, arr)
if val == -1:
return -1
res += val
arr = []
left_val = num
j += 1
if arr:
val = get_val(x, k, y, left_val, -1, arr)
if val == -1:
return -1
res += val
return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
040
import sys
YES = 'Yes'
NO = 'No'
def solve(A: 'List[List[int]]', N: int, b: 'List[int]'):
A_ = []
for a_ in A:
A_ += [[a__, False] for a__ in a_]
for b_ in b:
for a__ in A_:
if a__[0] == b_:
a__[1] = True
if A_[0][1] and ((A_[1][1] and A_[2][1]) and (A_[3][1] and A_[6][1]) and (A_[4][1] and A_[8][1])) or (A_[1][1] and A_[4][1] and A_[7][1]) or (A_[2][1] and A_[5][1] and A_[8][1]) or (A_[3][1] and A_[4][1] and A_[5][1]) or (A_[6][1] and A_[7][1] and A_[8][1]) or (A_[2][1] and A_[4][1] and A_[6][1]):
print(YES)
else:
print(NO)
return
def main():
def iterate_tokens():
for line in sys.stdin:
for word in line.split():
yield word
tokens = iterate_tokens()
A = [[int(next(tokens)) for _ in range(3)] for _ in range(3)]
N = int(next(tokens))
b = [int(next(tokens)) for _ in range(N)]
solve(A, N, b)
def __starting_point():
main()
__starting_point()
041
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
b = int(input())
for j in range(len(bingolist)):
if b == Alist[j]:
bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 3) or (bingolist[1] + bingolist[4] + bingolist[7] == 1) or (bingolist[2] + bingolist[5] + bingolist[8] == 3) or (bingolist[0] + bingolist[4] + bingolist[8] == 3) or (bingolist[2] + bingolist[4] + bingolist[6] == 3):
print('Yes')
else:
print('No')
042
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & 1:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) >= 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a <= b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
043
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= 2
print(cnt)
044
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= 1
print(cnt)
045
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
curl_ud_weights = [0] * n
curl_du_weights = [0] * n
sums = [0] * n
sums[n - 1] = a[n - 1] + b[n - 1]
curl_ud_weights[n - 1] = b[n - 1]
curl_du_weights[n - 1] = a[n - 1]
for i in range(n - 2, -1, -1):
sums[i] = sums[i + 1] + (a[i] + b[i])
remain = n * 2 - i * 2 - 1
curl_ud_weights[i - 1] = sums[i + 1] + curl_ud_weights[i + 1] + remain * b[i]
curl_du_weights[i] = sums[i + 1] + curl_du_weights[i + 1] + remain * a[i]
snake_weight = 0
max_weight = 0
current_weight = -1
for t in range(0, 2 * n, 2):
remain = t % 4
if remain == 0:
current_weight = sums[t // 2] * t + curl_ud_weights[t // 2] + snake_weight
snake_weight += a[t // 2] * t + b[t // 2] * (t + 1)
elif remain == 2:
current_weight = sums[t // 2] * t + curl_du_weights[t // 2] + snake_weight
snake_weight += b[t // 2] * t + a[t // 2] * (t + 1)
if current_weight > max_weight:
max_weight = current_weight
print(max_weight)
'\n3\n0 1 0\n0 0 0\n'
046
n = int(input())
l = list(map(lambda x: int(x) * 2, input().split(' ')))
t = list(map(lambda x: 'GWL'.index(x), input()))
mins = [0 for i in range(0, n + 1)]
for i in range(n - 1, -1, -1):
if t[i] != 2:
mins[i] = max(mins[i + 1] - l[i], 0)
else:
mins[i] = mins[i + 1] + l[i]
curs = ans = st = 0
for i in range(0, n):
if t[i] == 0:
curs += l[i]
ans += l[i] * 5
if curs > mins[i + 1]:
ol = (curs - mins[i + 1]) // 2
ol = min(ol, l[i])
ans -= 4 * ol
curs -= 2 * ol
if t[i] == 1:
st = 1
curs += l[i]
ans += l[i] * 3
if t[i] == 2:
if curs < l[i]:
ol = l[i] - curs
curs = l[i]
ans += ol * (3 if st else 5)
curs -= l[i]
ans += l[i]
if curs > 0:
ans += curs // 2 * 2
print(ans // 2)
047
from math import log
import sys
def buildTree(arr):
n = len(arr)
tree = [0] * n + arr
for i in range(n - 1, 0, -1):
z = int(log(i, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
else:
tree[i] = tree[2 * i] | tree[2 * i + 1]
elif z % 2 == 0:
tree[i] = tree[2 * i] | tree[2 * i + 1]
else:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
return tree
def updateTree(tree, ind, value, n):
ind += n
tree[ind] = value
while ind > 1:
ind //= 2
z = int(log(ind, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
elif z % 2 == 0:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
return tree
N, m = map(int, sys.stdin.readline().strip().split())
arr = list(map(int, sys.stdin.readline().strip().split()))
tree = buildTree(arr)
for i in range(m):
ind, val = map(int, sys.stdin.readline().strip().split())
tree = updateTree(tree, ind - 1, val, len(arr))
print(tree[-3])
048
def main():
A = [list(map(int, input().split())) for i in range(3)]
N = int(input())
b = [int(input()) for _ in range(N)]
for i in range(N):
for j in range(3):
for h in range(3):
if A[j][h] == b[i]:
A[j][h] = 0
if A[0][0] == 0 and A[0][1] == 0 and (A[0][2] == 0):
return 'Yes'
elif A[1][0] == 2 and A[1][1] == 0 and (A[1][2] == 0):
return 'Yes'
elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
return 'Yes'
elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
return 'Yes'
return 'No'
print(main())
049
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
if ai[i] == bi[curr]:
curr += 1
which.append(i)
if curr == m:
break
which.append(n)
ans = 0
if curr != m:
print(-1)
else:
poss = 1
for i in range(1, m + 2):
if which[i - 1] + 1 == which[i]:
continue
if i == 1:
z = ai[which[i]]
elif i == m + 1:
z = ai[which[i - 1]]
else:
z = max(ai[which[i]], ai[which[i - 1]])
maxa = max(ai[which[i - 1] + 1:which[i]])
num = which[i] - which[i - 1] - 1
if maxa > z and num < k:
poss = 0
break
if y * k <= x:
if maxa > z:
ans += x
ans += (num - k) * y
else:
ans += num * y
else:
ans += num // k * x
ans += num % k * y
if poss == 0:
print(-1)
else:
print(ans)
050
def get_val(x, k, y, left_val, right_val, arr):
x, y = (y, x)
if not arr:
return 0
if len(arr) < k:
if max(arr) > max(left_val, right_val):
return -1
return len(arr) * x
if y < x * k:
n = len(arr)
res = 0
while n >= k:
n -= k
res += y
res += n * x
return res
elif max(arr) < max(left_val, right_val):
return len(arr) * x
else:
return (len(arr) - k) * x + y
def solve(x, k, y, a, b):
def check(a, b):
j = 0
i = 0
while i < len(a) and j < len(b):
if a[i] != b[j]:
i += 1
else:
i += 1
j += 1
return j == len(b)
if not check(a, b):
return -1
j = 0
left_val = -1
arr = []
res = 0
for num in a:
if j == len(b) or num != b[j]:
arr.append(num)
else:
val = get_val(x, k, y, left_val, num, arr)
if val == -1:
return -1
res += val
arr = []
left_val = num
j += -1
if arr:
val = get_val(x, k, y, left_val, -1, arr)
if val == -1:
return -1
res += val
return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
051
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [0]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 2
best = min(best, a[j] - j - (a[i] - i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
052
from math import ceil, log
t = 1
for test in range(t):
n, m = list(map(int, input().split()))
arr = list(map(int, input().split()))
arr.append(m)
prev = 0
on = 0
counter = 0
for i in arr:
if counter % 2 == 0:
on += i - prev
prev = i
counter += 1
off = m - on
counter = 0
ans = on
prev = 0
prevOn = 0
for i in arr:
if counter % 2 == 0:
if i - prev != 1:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
if tmp > ans:
ans = tmp
prevOn += i - prev
elif i - prev != 2:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
if tmp > ans:
ans = tmp
prev = i
counter += 1
print(ans)
053
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
if t == 'G':
heappush(Q, (2, 2 * l))
heappush(Q, (5, float('inf')))
elif t == 'W':
heappush(Q, (1, 2 * l))
heappush(Q, (3, float('inf')))
need_stamina = l
while need_stamina > 0:
cost, quantity = heappop(Q)
if need_stamina > quantity:
ans += quantity * cost
need_stamina -= quantity
else:
ans += need_stamina * cost
heappush(Q, (cost, quantity - need_stamina))
need_stamina = 0
print(ans)
054
import sys
YES = 'Yes'
NO = 'No'
def solve(A: 'List[List[int]]', N: int, b: 'List[int]'):
A_ = []
for a_ in A:
A_ += [[a__, False] for a__ in a_]
for b_ in b:
for a__ in A_:
if a__[0] == b_:
a__[1] = True
if (A_[0][1] and (A_[1][1] and A_[2][1] or (A_[3][1] and A_[6][1]) or (A_[4][1] and A_[8][1]))) and (A_[1][1] and A_[4][1] and A_[7][1]) and (A_[2][1] and A_[5][1] and A_[8][1]) and (A_[3][1] and A_[4][1] and A_[5][1]) and (A_[6][1] and A_[7][1] and A_[8][1]) and (A_[2][1] and A_[4][1] and A_[6][1]):
print(YES)
else:
print(NO)
return
def main():
def iterate_tokens():
for line in sys.stdin:
for word in line.split():
yield word
tokens = iterate_tokens()
A = [[int(next(tokens)) for _ in range(3)] for _ in range(3)]
N = int(next(tokens))
b = [int(next(tokens)) for _ in range(N)]
solve(A, N, b)
def __starting_point():
main()
__starting_point()
055
import sys
dr = [0, 1, 0, -3]
dc = [1, 0, -1, 0]
rows, cols = map(int, sys.stdin.readline().split())
b = ['' for row in range(rows)]
sr, sc = (0, 0)
er, ec = (0, 0)
for row in range(rows):
b[row] = sys.stdin.readline().strip()
if 'S' in b[row]:
sr, sc = (row, b[row].index('S'))
if 'E' in b[row]:
er, ec = (row, b[row].index('E'))
dirs = sys.stdin.readline().strip()
res = 0
for i in range(4):
for j in range(4):
for k in range(4):
if j != i and i != k and (j != k):
l = 0 + 1 + 2 + 3 - (i + j + k)
r, c = (sr, sc)
p = [i, j, k, l]
ok = 0
for d in dirs:
di = int(d)
r += dr[p[di]]
c += dc[p[di]]
if r < 0 or r >= rows or c < 0 or (c >= cols) or (b[r][c] == '#'):
break
if b[r][c] == 'E':
ok = 1
res += ok
print(res)
056
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]
def ans(time, x, y):
ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
x0, y0, m0 = WX[i - 1]
x1, y1, m1 = WX[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
x0, y0, m0 = WY[i - 1]
x1, y1, m1 = WY[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
time, town = heapq.heappop(Q)
if time > TIME[town]:
continue
ans(time, W[town][0], W[town][1])
for to, cost in EDGE[town - 1]:
if TIME[to] > TIME[town] + cost:
TIME[to] = TIME[town] + cost
heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
057
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]
def ans(time, x, y):
ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
x0, y0, m0 = WX[i - 1]
x1, y1, m1 = WX[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
x0, y0, m0 = WY[i - 1]
x1, y1, m1 = WY[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
time, town = heapq.heappop(Q)
if time > TIME[town - 1]:
continue
ans(time, W[town][0], W[town][1])
for to, cost in EDGE[town]:
if TIME[to] > TIME[town] + cost:
TIME[to] = TIME[town] + cost
heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
058
def main():
n, M = [int(i) for i in input().split(' ')]
a = [0] + [int(i) for i in input().split(' ')] + [M]
n = n + 1
incr_sum = []
s = 0
for i in range(n):
if i % 2 == 1:
s += a[i] - a[i - 1]
incr_sum.append(s)
max_sum = s
for i in range(n - 1):
if a[i + 1] - a[i] != 1:
to_add = a[i + 1] - 1
s_ = incr_sum[i]
s_ += to_add - a[i]
s_ += a[-1] - a[i + 1] - (incr_sum[-1] - incr_sum[i + 1])
if s_ > max_sum:
max_sum = s_
print(max_sum)
def __starting_point():
main()
__starting_point()
059
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
s = input()
for x in range(m):
c = s[x]
if c == 'S':
startpos = (x, y)
free[x, y] = True
elif c == 'E':
goal = (x, y)
free[x, y] = True
elif c == '.':
free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
for down in dire:
for right in dire:
for left in dire:
if len(set([up, down, left, right])) < 4:
continue
pos = startpos
for c in command:
x, y = pos
if c == up:
y += 4
elif c == down:
y -= 1
elif c == right:
x += 1
else:
x -= 1
pos = (x, y)
if pos == goal:
counts += 1
break
if not free[pos]:
break
print(counts)
060
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [2]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 1
best = min(best, a[j] - j - (a[i] - i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
061
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]
def ans(time, x, y):
ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
x0, y0, m0 = WX[i - 1]
x1, y1, m1 = WX[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
x0, y0, m0 = WY[i - 1 + 1]
x1, y1, m1 = WY[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
time, town = heapq.heappop(Q)
if time > TIME[town]:
continue
ans(time, W[town][0], W[town][1])
for to, cost in EDGE[town]:
if TIME[to] > TIME[town] + cost:
TIME[to] = TIME[town] + cost
heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
062
from sys import stdin, stderr
import random
import cProfile
def readInts():
return map(int, stdin.readline().strip().split())
def print_err(*args, **kwargs):
print(*args, file=stderr, **kwargs)
def solve(vs):
return None
def generate_tree(n, ns):
out = [0 for _ in range(2 ** (n + 1))]
def gt(nix, left, right, op):
if left + 1 == right:
out[nix] = ns[left]
return out[nix]
mid = (left + right) // 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = gt(nL, left, mid, not op)
vR = gt(nR, mid, right, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
out[nix] = v
return v
gt(0, 0, 2 ** n, n % 2 == 0)
return out
def alter_tree2(n, t, p, b):
def at(nix, width, offp, op):
if width == 1:
t[nix] = b
return b
width //= 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = t[nL]
vR = t[nR]
if offp >= width:
vR = at(nR, width, offp - width, not op)
else:
vL = at(nL, width, offp, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
t[nix] = v
return v
at(0, 2 ** n, p, n % 2 == 0)
def alter_tree(n, t, p, b):
width = 2 ** n
s = []
nix = 0
op = n % 2 == 0
while width > 1:
width //= 2
if p >= width:
nix2 = 2 * nix + 2
s.append((nix, nix2 - 1))
p -= width
else:
nix2 = 2 * nix + 1
s.append((nix, nix2 + 1))
nix = nix2
op = not op
t[nix] = b
v = b
while s:
nix, nixO = s.pop()
if op:
v |= t[nixO]
else:
v |= t[nixO]
t[nix] = v
op = not op
return
def run():
n, m = readInts()
axs = list(readInts())
t = generate_tree(n, axs)
for _ in range(m):
p, b = readInts()
alter_tree(n, t, p - 1, b)
print(t[0])
def test():
n = 17
ns = []
vs100 = list(range(100))
for _ in range(2 ** 17):
ns.append(random.choice(vs100))
t = generate_tree(n, ns)
t2 = generate_tree(n, ns)
for _ in range(100000):
v1 = random.choice(vs100)
v2 = random.choice(vs100)
alter_tree(n, t, v1, v2)
alter_tree2(n, t2, v1, v2)
print(all(map(lambda x: x[0] == x[1], zip(t, t2))))
print(t[0] == t2[0])
run()
063
import sys
class SegmTree:
def __init__(self, size):
N = 1
while N < size:
N <<= 1
self.N = N
self.tree = [0] * (2 * N)
def modify(self, i, value):
i += self.N
self.tree[i] = value
toXOR = False
while i > 1:
if toXOR:
self.tree[i >> 1] = self.tree[i + 1] ^ self.tree[i ^ 1]
else:
self.tree[i >> 1] = self.tree[i] | self.tree[i ^ 1]
toXOR = not toXOR
i >>= 1
reader = (line.rstrip() for line in sys.stdin)
input = reader.__next__
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
st = SegmTree(1 << n)
for i, value in enumerate(a):
st.modify(i, value)
for _ in range(m):
p, b = list(map(int, input().split()))
st.modify(p - 1, b)
print(st.tree[1])
064
n = int(input())
t = list(map(int, input().split()))
t = [-1] + t
badIdx = []
nice = []
def getBadIdx():
for i in range(1, n):
if i % 2 == 0 and t[i] <= t[i + 1] or (i % 2 == 1 and t[i] >= t[i + 1]):
badIdx.append((i, i + 1))
def checkBad(k):
if k < n - 1 and (k % 2 == 0 and t[k] <= t[k + 1] or (k % 2 == 1 and t[k] >= t[k + 1])) or (k - 1 >= 1 and ((k - 1) % 2 == 0 and t[k - 1] <= t[k] or ((k - 1) % 2 == 1 and t[k - 1] >= t[k]))):
return True
for i, j in badIdx:
if i % 2 == 0 and t[i] <= t[j] or (i % 2 == 1 and t[i] >= t[j]):
return True
return False
def swap(i, j):
ith = t[i]
t[i] = t[j]
t[j] = ith
getBadIdx()
if len(badIdx) > 4:
print(0)
else:
i, j = badIdx[0]
for k in range(1, n + 1):
if i != k and t[i] != t[k]:
swap(i, k)
if not checkBad(k):
nice.append((i, k))
swap(i, k)
else:
swap(i, k)
if j != k and t[j] != t[k]:
swap(j, k)
if not checkBad(k):
nice.append((j, k))
swap(j, k)
else:
swap(j, k)
print(len(set([tuple(sorted(t)) for t in nice])))
065
3
def needs_rep(t, i):
if i % 2 == 0:
return t[i] >= t[i + 1]
else:
return t[i - 1] <= t[i + 1]
def would_need_rep(t, i, j1, j2):
n = len(t)
if i < 0:
return False
if i >= n - 1:
return False
tj1 = t[j2]
tj2 = t[j1]
ti = t[i]
if i == j1:
ti = tj1
if i == j2:
ti = tj2
ti1 = t[i + 1]
if i + 1 == j1:
ti1 = tj1
if i + 1 == j2:
ti1 = tj2
if i % 2 == 0:
return ti >= ti1
else:
return ti <= ti1
def main():
n = int(input())
t = [int(i) for i in input().split()]
rep = []
for i in range(n - 1):
if needs_rep(t, i):
rep.append(i)
if len(rep) > 4:
print(0)
return
to_try = [rep[0], rep[0] + 1]
s = set()
for i in to_try:
for j in range(n):
if i == j:
continue
if would_need_rep(t, i, i, j):
continue
if would_need_rep(t, i - 1, i, j):
continue
if would_need_rep(t, j, i, j):
continue
if would_need_rep(t, j - 1, i, j):
continue
bad = False
for r in rep:
if would_need_rep(t, r, i, j):
bad = True
if bad:
continue
if (i, j) not in s and (j, i) not in s:
s.add((i, j))
print(len(s))
def __starting_point():
main()
__starting_point()
066
def main():
n, M = [int(i) for i in input().split(' ')]
a = [0] + [int(i) for i in input().split(' ')] + [M]
n = n + 2
incr_sum = []
s = 0
for i in range(n):
if i % 2 == 1:
s += a[i] - a[i - 1]
incr_sum.append(s)
max_sum = s
for i in range(n - 1):
if a[i + 1] - a[i] != 1:
to_add = a[i + 1] - 1
s_ = incr_sum[i]
s_ += to_add - a[i]
s_ += a[-1] - a[i + 1] - (incr_sum[-1 - 1] - incr_sum[i + 1])
if s_ > max_sum:
max_sum = s_
print(max_sum)
def __starting_point():
main()
__starting_point()
067
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [0]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 1
best = min(best, a[j] - j - (a[i] + i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
068
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
b = int(input())
for j in range(len(bingolist)):
if b == Alist[j]:
bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 3) or (bingolist[1] + bingolist[4] + bingolist[7] == 3) or (bingolist[2] + bingolist[5] + bingolist[8] == 7) or (bingolist[0] + bingolist[4] + bingolist[8] == 3) or (bingolist[2] + bingolist[4] + bingolist[6] == 3):
print('Yes')
else:
print('No')
069
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 4]]
for j in range(1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += 1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
070
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 - tst] = max(dp[c][1 - tst], 1)
for k in range(j + 1, n - 1):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
071
def get_val(x, k, y, left_val, right_val, arr):
x, y = (y, x)
if not arr:
return 0
if len(arr) < k:
if max(arr) > max(left_val, right_val):
return -1
return len(arr) * x
if y < x * k:
n = len(arr)
res = 0
while n >= k:
n -= k
res += y
res += n * x
return res
elif max(arr) < max(left_val, right_val):
return len(arr) * x
else:
return (len(arr) - k) * x + y
def solve(x, k, y, a, b):
def check(a, b):
j = 0
i = 0
while i < len(a) and j < len(b):
if a[i] != b[j]:
i += 1
else:
i += 1
j += 1
return j == len(b)
if not check(a, b):
return --1
j = 0
left_val = -1
arr = []
res = 0
for num in a:
if j == len(b) or num != b[j]:
arr.append(num)
else:
val = get_val(x, k, y, left_val, num, arr)
if val == -1:
return -1
res += val
arr = []
left_val = num
j += 1
if arr:
val = get_val(x, k, y, left_val, -1, arr)
if val == -1:
return -1
res += val
return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
072
l = input().split()
n = int(l[0])
m = int(l[1])
l = input().split()
x = int(l[2])
k = int(l[1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
if ai[i] == bi[curr]:
curr += 1
which.append(i)
if curr == m:
break
which.append(n)
ans = 0
if curr != m:
print(-1)
else:
poss = 1
for i in range(1, m + 2):
if which[i - 1] + 1 == which[i]:
continue
if i == 1:
z = ai[which[i]]
elif i == m + 1:
z = ai[which[i - 1]]
else:
z = max(ai[which[i]], ai[which[i - 1]])
maxa = max(ai[which[i - 1] + 1:which[i]])
num = which[i] - which[i - 1] - 1
if maxa > z and num < k:
poss = 0
break
if y * k <= x:
if maxa > z:
ans += x
ans += (num - k) * y
else:
ans += num * y
else:
ans += num // k * x
ans += num % k * y
if poss == 0:
print(-1)
else:
print(ans)
073
from sys import stdin
from math import *
line = stdin.readline().rstrip().split()
n = int(line[0])
numbers = list(map(int, stdin.readline().rstrip().split()))
numbers2 = list(map(int, stdin.readline().rstrip().split()))
growRateAccum = 0
topAccum = 0
bottomAccum = 0
accumsB = [0] * n
accumsT = [0] * n
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
accum += numbers[i] * ((n - i) * 2 - 1 - 1)
growRateAccum *= numbers[i]
if i < n - 1:
growRateAccum += numbers2[i + 1]
accum += growRateAccum
accumsB[i] = accum
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
accum += numbers2[i] * ((n - i) * 2 - 1 - 1)
growRateAccum += numbers2[i]
if i < n - 1:
growRateAccum += numbers[i + 1]
accum += growRateAccum
accumsT[i] = accum
cMax = 0
currAccum = 0
growRateAccum = sum(numbers[1:]) + sum(numbers2[1:])
for i in range(n):
if i % 2 == 0:
cMax = max(cMax, currAccum + accumsT[i])
else:
cMax = max(cMax, currAccum + accumsB[i])
if i < n - 1:
if i % 2 == 0:
currAccum += numbers2[i] + growRateAccum * 2
else:
currAccum += numbers[i] + growRateAccum * 2
growRateAccum -= numbers[i + 1]
growRateAccum -= numbers2[i + 1]
print(cMax)
074
n = int(input())
t = list(map(int, input().split()))
t = [-1] + t
badIdx = []
nice = []
def getBadIdx():
for i in range(1, n):
if i % 2 == 0 and t[i] <= t[i + 1] or (i % 2 == 1 and t[i] >= t[i + 1]):
badIdx.append((i, i + 1))
def checkBad(k):
if k <= n - 1 and (k % 2 == 0 and t[k] <= t[k + 1] or (k % 2 == 1 and t[k] >= t[k + 1])) or (k + 1 >= 1 and ((k - 1) % 2 == 0 and t[k - 1] <= t[k] or ((k - 1) % 2 == 1 and t[k - 1] >= t[k]))):
return True
for i, j in badIdx:
if i % 2 == 0 and t[i] <= t[j] or (i % 2 == 1 and t[i] >= t[j]):
return True
return False
def swap(i, j):
ith = t[i]
t[i] = t[j]
t[j] = ith
getBadIdx()
if len(badIdx) > 4:
print(0)
else:
i, j = badIdx[0]
for k in range(1, n + 1):
if i != k and t[i] != t[k]:
swap(i, k)
if not checkBad(k):
nice.append((i, k))
swap(i, k)
else:
swap(i, k)
if j != k and t[j] != t[k]:
swap(j, k)
if not checkBad(k):
nice.append((j, k))
swap(j, k)
else:
swap(j, k)
print(len(set([tuple(sorted(t)) for t in nice])))
075
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26 - 1):
for l in range(N):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
076
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
curl_ud_weights = [0] * n
curl_du_weights = [0] * n
sums = [0] * n
sums[n - 1] = a[n - 1] + b[n - 1]
curl_ud_weights[n - 1] = b[n - 1]
curl_du_weights[n - 1] = a[n - 1]
for i in range(n - 2, -1, -1):
sums[i] = sums[i + 1] + (a[i] + b[i])
remain = n * 2 - i * 2 + 1
curl_ud_weights[i] = sums[i + 1] + curl_ud_weights[i + 1] + remain * b[i]
curl_du_weights[i] = sums[i + 1] + curl_du_weights[i + 1] + remain * a[i]
snake_weight = 0
max_weight = 0
current_weight = -1
for t in range(0, 2 * n, 2):
remain = t % 4
if remain == 0:
current_weight = sums[t // 2] * t + curl_ud_weights[t // 2] + snake_weight
snake_weight += a[t // 2] * t + b[t // 2] * (t + 1)
elif remain == 2:
current_weight = sums[t // 2] * t + curl_du_weights[t // 2] + snake_weight
snake_weight += b[t // 2] * t + a[t // 2] * (t + 1)
if current_weight > max_weight:
max_weight = current_weight
print(max_weight)
'\n3\n0 1 0\n0 0 0\n'
077
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) + abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) * abs(sy - fy)
edges[0].append((d, 1))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
078
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
start_ls = list(map(int, input().split()))
end_ls = list(map(int, input().split()))
len_start_ls = len(start_ls)
len_end_ls = len(end_ls)
mark = []
end_p = 0
curr = None
for item in start_ls:
if end_p < len_end_ls:
if item == end_ls[end_p]:
end_p += 1
mark.append(0)
curr = item
elif curr is not None:
if item > curr:
mark.append(1)
else:
mark.append(2)
else:
mark.append(1)
elif curr is not None:
if item > curr:
mark.append(1)
else:
mark.append(2)
else:
mark.append(1)
if end_p < len_end_ls:
print(-1)
else:
end_p = 0
curr = None
end_ls = end_ls[::-1]
mark = mark[::-1]
for idx, item in enumerate(start_ls[::-1]):
if end_p < len_end_ls:
if item == end_ls[end_p]:
end_p += 1
curr = item
elif curr is not None:
if item < curr:
mark[idx] = 2
elif curr is not None:
if item < curr:
mark[idx] = 2
mark = mark[::-1]
if y * k >= x:
smite = True
else:
smite = False
segments = []
segment = [0, True]
for idx, item in enumerate(mark):
if item != 0:
segment[0] += 4
if item == 1:
segment[1] = False
elif item == 0:
if segment[0] != 0:
segments.append(segment)
segment = [0, True]
if segment[0] != 0:
segments.append(segment)
poss = True
res = 0
for segment in segments:
if segment[0] < k and (not segment[1]):
poss = False
break
elif segment[0] < k and segment[1]:
res += segment[0] * y
else:
if smite:
res += segment[0] // k * x
res += segment[0] % k * y
if not smite:
if segment[1]:
res += segment[0] * y
else:
res += x
res += (segment[0] - k) * y
if poss:
print(res)
else:
print(-1)
079
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -2, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
080
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
if s[i] == 'G':
dist = l[i]
if water >= dist:
water -= dist
time += 2 * dist
cgrass += dist
else:
dist -= water
time += 2 * water
cgrass += water
water = 0
time += 3 * dist
grass += dist
elif s[i] == 'W':
water += l[i]
time += 2 * l[i]
seen = True
else:
dist = l[i]
if water >= dist:
water -= dist
time += 2 * dist
else:
dist -= water
time += 2 * water
water = 4
if cgrass >= dist:
cgrass -= dist
grass += dist
time += 3 * dist
else:
dist -= cgrass
grass += cgrass
time += 3 * cgrass
cgrass = 0
if grass >= dist:
grass -= dist
time += 3 * dist
else:
dist -= grass
time += 3 * grass
grass = 0
if seen:
time += 4 * dist
else:
time += 6 * dist
print(time)
081
def get_val(x, k, y, left_val, right_val, arr):
x, y = (y, x)
if not arr:
return 0
if len(arr) < k:
if max(arr) > max(left_val, right_val):
return -1
return len(arr) * x
if y < x * k:
n = len(arr)
res = 0
while n > k:
n -= k
res += y
res += n * x
return res
elif max(arr) < max(left_val, right_val):
return len(arr) * x
else:
return (len(arr) - k) * x + y
def solve(x, k, y, a, b):
def check(a, b):
j = 0
i = 0
while i < len(a) and j < len(b):
if a[i] != b[j]:
i += 1
else:
i += 1
j += 1
return j == len(b)
if not check(a, b):
return -1
j = 0
left_val = -1
arr = []
res = 0
for num in a:
if j == len(b) or num != b[j]:
arr.append(num)
else:
val = get_val(x, k, y, left_val, num, arr)
if val == -1:
return -1
res += val
arr = []
left_val = num
j += 1
if arr:
val = get_val(x, k, y, left_val, -1, arr)
if val == -1:
return -1
res += val
return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
082
l = input().split()
n = int(l[1])
m = int(l[1])
l = input().split()
x = int(l[0])
k = int(l[1])
y = int(l[2])
a = input().split()
ai = [int(i) for i in a]
b = input().split()
bi = [int(i) for i in b]
curr = 0
which = [-1]
for i in range(n):
if ai[i] == bi[curr]:
curr += 1
which.append(i)
if curr == m:
break
which.append(n)
ans = 0
if curr != m:
print(-1)
else:
poss = 1
for i in range(1, m + 2):
if which[i - 1] + 1 == which[i]:
continue
if i == 1:
z = ai[which[i]]
elif i == m + 1:
z = ai[which[i - 1]]
else:
z = max(ai[which[i]], ai[which[i - 1]])
maxa = max(ai[which[i - 1] + 1:which[i]])
num = which[i] - which[i - 1] - 1
if maxa > z and num < k:
poss = 0
break
if y * k <= x:
if maxa > z:
ans += x
ans += (num - k) * y
else:
ans += num * y
else:
ans += num // k * x
ans += num % k * y
if poss == 0:
print(-1)
else:
print(ans)
083
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
for i in range(2):
sum_up[i][n - 1] = a[i][n - 1 - 1]
pref_up[i][n - 1] = a[i][n - 1]
pref_down[i][n - 1] = a[i][n - 1]
for j in range(n - 2, -1, -1):
sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
zig = [[0 for i in range(n)] for j in range(2)]
for j in range(n):
for i in range(2):
if j % 2 == 0:
if i == 0:
zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
else:
zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
elif i == 0:
zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
else:
zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
ans = -1e+18
for j in range(n):
if j == 0:
ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
elif j == n - 1:
ans = max(ans, zig[1 - j % 2][n - 1])
elif j % 2 == 1:
ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
else:
ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
print(ans)
else:
print(a[1][0])
084
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & 3:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a <= b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
085
n, m = list(map(int, input().split()))
grid = []
sloc = (-1, -1)
eloc = (-1, -1)
for y in range(n):
l = input()
grid.append(list())
for x in range(m):
grid[-1].append(l[x] == '#')
if l[x] == 'S':
sloc = (x, y)
elif l[x] == 'E':
eloc = (x, y)
pb = []
for a in [(0, 1), (0, -1), (1, 0), (-1, -1)]:
for b in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
for c in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
for d in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
if len(set([a, b, c, d])) == 4 and [a, b, c, d] not in pb:
pb.append([a, b, c, d])
s = input()
ans = 0
for mp in pb:
seen = False
works = True
loc = sloc
for j in s:
j = int(j)
if seen:
break
if not works:
break
nloc = (loc[0] + mp[j][0], loc[1] + mp[j][1])
if min(nloc) < 0 or nloc[0] >= m or nloc[1] >= n:
works = False
break
if grid[nloc[1]][nloc[0]]:
works = False
break
if nloc == eloc:
seen = True
break
loc = nloc
if seen:
ans += 1
print(ans)
086
def main():
n = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
roundup = []
rounddown = []
sumsofar = []
for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
ssf = sumsofar[-1] if sumsofar else 0
t = roundup[-1] if roundup else 0
roundup.append(t + ssf + b * (1 + 2 * i))
t = rounddown[-1] if rounddown else 0
rounddown.append(t + ssf + a * (1 + 2 * i))
sumsofar.append(ssf + a + b)
roundup = list(reversed(roundup))
rounddown = list(reversed(rounddown))
sumsofar = list(reversed(sumsofar))
bestres = 0
sofar = 0
for i, (a, b) in enumerate(zip(A, B)):
rup, rdo = (roundup, rounddown)
if i % 2:
a, b = (b, a)
rup, rdo = (rdo, rup)
bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
sofar += a * -2 * i
sofar += b * (2 * i + 1)
bestres = max(bestres, sofar)
print(bestres)
def __starting_point():
main()
__starting_point()
087
a_3_3 = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
b_n = [int(input()) for _ in range(n)]
class Info:
def __init__(self, a_3_3, n, b_n):
self.a_3_3 = a_3_3
self.n = n
self.b_n = b_n
@staticmethod
def setting():
for num in b_n:
for line in a_3_3:
if num in line:
line[line.index(num)] = 0
return a_3_3
@staticmethod
def result():
diagonal_lurd = a_3_3[0][0] + a_3_3[1][1] + a_3_3[2][2]
diagonal_ldru = a_3_3[2][0] + a_3_3[1][1] + a_3_3[0][2]
for index, line in enumerate(a_3_3):
row_sum = sum(line)
col_sum = a_3_3[0][index] + a_3_3[1][index] + a_3_3[2][index]
if diagonal_lurd == 0 or diagonal_ldru == 0 or row_sum == 3 or (col_sum == 0):
print('Yes')
return
print('No')
info = Info(a_3_3, n, b_n)
info.setting()
info.result()
088
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
for i in range(2):
sum_up[i][n - 1] = a[i][n - 1]
pref_up[i][n - 1] = a[i][n - 1]
pref_down[i][n - 1] = a[i][n - 1 - 1]
for j in range(n - 2, -1, -1):
sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
zig = [[0 for i in range(n)] for j in range(2)]
for j in range(n):
for i in range(2):
if j % 2 == 0:
if i == 0:
zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
else:
zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
elif i == 0:
zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
else:
zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
ans = -1e+18
for j in range(n):
if j == 0:
ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
elif j == n - 1:
ans = max(ans, zig[1 - j % 2][n - 1])
elif j % 2 == 1:
ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
else:
ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
print(ans)
else:
print(a[1][0])
089
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & 1:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a <= b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
090
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
if t == 'G':
heappush(Q, (2, 2 * l))
heappush(Q, (5, float('inf')))
elif t == 'W':
heappush(Q, (1, 2 * l))
heappush(Q, (5, float('inf')))
need_stamina = l
while need_stamina > 0:
cost, quantity = heappop(Q)
if need_stamina > quantity:
ans += quantity * cost
need_stamina -= quantity
else:
ans += need_stamina * cost
heappush(Q, (cost, quantity - need_stamina))
need_stamina = 0
print(ans)
091
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
if s[i] == 'G':
dist = l[i]
if water >= dist:
water -= dist
time += 2 * dist
cgrass += dist
else:
dist -= water
time += 2 * water
cgrass += water
water = 0
time += 3 * dist
grass += dist
elif s[i] == 'W':
water += l[i]
time += 2 * l[i]
seen = True
else:
dist = l[i]
if water >= dist:
water -= dist
time += 2 * dist
else:
dist -= water
time += 2 * water
water = 3
if cgrass >= dist:
cgrass -= dist
grass += dist
time += 3 * dist
else:
dist -= cgrass
grass += cgrass
time += 3 * cgrass
cgrass = 0
if grass >= dist:
grass -= dist
time += 3 * dist
else:
dist -= grass
time += 3 * grass
grass = 0
if seen:
time += 4 * dist
else:
time += 6 * dist
print(time)
092
n = int(input())
l = list(map(lambda x: int(x) * 2, input().split(' ')))
t = list(map(lambda x: 'GWL'.index(x), input()))
mins = [0 for i in range(0, n + 1)]
for i in range(n - 1, -1, -1):
if t[i] != 2:
mins[i] = max(mins[i + 1] - l[i], 0)
else:
mins[i] = mins[i + 1] + l[i]
curs = ans = st = 0
for i in range(0, n):
if t[i] == 0:
curs += l[i]
ans += l[i] * 5
if curs > mins[i + 1]:
ol = (curs - mins[i + 1]) // 2
ol = min(ol, l[i])
ans -= 4 * ol
curs += 2 * ol
if t[i] == 1:
st = 1
curs += l[i]
ans += l[i] * 3
if t[i] == 2:
if curs < l[i]:
ol = l[i] - curs
curs = l[i]
ans += ol * (3 if st else 5)
curs -= l[i]
ans += l[i]
if curs > 0:
ans -= curs // 2 * 2
print(ans // 2)
093
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
if t == 'G':
heappush(Q, (2, 2 * l))
heappush(Q, (3, float('inf')))
elif t == 'W':
heappush(Q, (1, 2 * l))
heappush(Q, (3, float('inf')))
need_stamina = l
while need_stamina > 0:
cost, quantity = heappop(Q)
if need_stamina > quantity:
ans += quantity * cost
need_stamina -= quantity
else:
ans += need_stamina * cost
heappush(Q, (cost, quantity - need_stamina))
need_stamina = 0
print(ans)
094
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & -1:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a <= b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
095
from operator import or_, xor
import sys
n, m = map(int, input().split())
t = [list(map(int, input().split()))]
for i in range(n):
if i & 1 == 0:
t += [[t[i][j] | t[i][j + 1] for j in range(0, len(t[i]), 2)]]
else:
t += [[t[i][j] ^ t[i][j + 1] for j in range(0, len(t[i]), 2)]]
for s in sys.stdin:
p, b = s.split()
p = int(p) - 1
t[0][p] = int(b)
for j in range(n):
p = int(p / 2)
if j & 1 == 0:
t[j + 1][p - 1] = t[j][int(p * 2)] | t[j][int(p * 2) + 1]
else:
t[j + 1][p] = t[j][int(p * 2)] ^ t[j][int(p * 2) + 1]
sys.stdout.write(str(t[-1][0]) + '\n')
096
a_3_3 = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
b_n = [int(input()) for _ in range(n)]
class Info:
def __init__(self, a_3_3, n, b_n):
self.a_3_3 = a_3_3
self.n = n
self.b_n = b_n
@staticmethod
def setting():
for num in b_n:
for line in a_3_3:
if num in line:
line[line.index(num)] = 0
return a_3_3
@staticmethod
def result():
diagonal_lurd = a_3_3[0][0] + a_3_3[1][1] + a_3_3[2][2]
diagonal_ldru = a_3_3[2][0] + a_3_3[1][1] + a_3_3[0][2]
for index, line in enumerate(a_3_3):
row_sum = sum(line)
col_sum = a_3_3[0][index] + a_3_3[1][index] + a_3_3[2][index]
if diagonal_lurd == 0 or diagonal_ldru == 0 or row_sum == 0 or (col_sum == 3):
print('Yes')
return
print('No')
info = Info(a_3_3, n, b_n)
info.setting()
info.result()
097
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
dl = a[i] - a[i - 1]
if light:
gar.append(dl)
light = False
else:
shadow.append(dl)
light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
n = n // 2
else:
n = n // 2 - 1
for i in range(n):
if i != n - 1:
teclight += gar[i]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
elif len(shadow) == n:
teclight += gar[i]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
print(lightmax)
098
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 - tst] = max(dp[c][1 * tst], 1)
for k in range(j + 1, n):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
099
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 8
def dijkstra(N, G, s):
dist = [INF] * N
que = [(0, s)]
dist[s] = 0
while que:
c, v = heappop(que)
if dist[v] < c:
continue
for t, cost in G[v]:
if dist[v] + cost < dist[t]:
dist[t] = dist[v] + cost
heappush(que, (dist[t], t))
return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
x, y = list(map(int, input().split()))
g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(x - bx, abs(y - by))
g[i].add((b, c))
g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(abs(x - bx), y - by)
g[i].add((b, c))
g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) + abs(fx - sx)))
100
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [1]]
slov[s[0]] = [[-1], [0, 0]]
for j in range(1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += 1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
101
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
if t == 'G':
heappush(Q, (2, 2 * l))
heappush(Q, (5, float('inf')))
elif t == 'W':
heappush(Q, (1, 2 * l))
heappush(Q, (2, float('inf')))
need_stamina = l
while need_stamina > 0:
cost, quantity = heappop(Q)
if need_stamina > quantity:
ans += quantity * cost
need_stamina -= quantity
else:
ans += need_stamina * cost
heappush(Q, (cost, quantity - need_stamina))
need_stamina = 0
print(ans)
102
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[-1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -2, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
103
n, m = map(int, input().split())
def road(ins):
cur = S.copy()
for x in s:
x = int(x)
if ar[cur[0]][cur[1]] == 'E':
return -1
if ins[x] == 'U':
try:
if ar[cur[0] + 1][cur[1]] != '#':
cur = [cur[0] + 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'D':
try:
if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 >= 0:
cur = [cur[0] - 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'R':
try:
if ar[cur[0]][cur[1] + 1] != '#':
cur = [cur[0], cur[1] + 1]
else:
return 0
except:
return 0
if ins[x] == 'L':
try:
if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
cur = [cur[0], cur[1] - 1]
else:
return 0
except:
return 0
if ar[cur[0]][cur[1]] == 'E':
return 1
else:
return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
if 'S' in ar[x]:
S = [x, ar[x].index('S')]
if 'E' in ar[x]:
E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
i += road(list(x))
print(i)
104
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 0]]
for j in range(1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += -1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
105
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque
def read():
return int(input())
def readmap():
return map(int, input().split())
def readlist():
return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 2):
if i % 2 == 1:
on_time.append(A[i] - A[i - 1])
else:
off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 2 == 1:
i = N + 1
while i > 0:
if A[i] - A[i - 1] > 1:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 1
print(max_on_time)
else:
i = N
sum_on_time -= A[N + 1] - A[N]
while i > 0:
if A[i] - A[i - 1] > 1:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 2
print(max_on_time)
106
def subsequence(arr1, arr2, n, m):
i = 0
j = 0
common = []
while i < n and j < m:
if arr1[i] == arr2[j]:
common.append(i)
j += 1
i += 1
if j == m:
return common
return []
def find(arr, start, end, x, y, k):
stack = []
second_use_limit = 0
for i in range(start, end + 1):
if not stack:
stack.append(arr[i])
else:
while stack and arr[i] > stack[-1]:
second_use_limit += 1
stack.pop()
if not stack or arr[i] > stack[-1]:
stack.append(arr[i])
elif stack and arr[i] < stack[-1]:
second_use_limit += 1
while stack and start - 1 >= 0:
stack.pop(0)
second_use_limit += 1
while stack and end + 1 < len(arr) and (arr[end + 1] > stack[-1]):
stack.pop()
second_use_limit += 1
min_cost = float('inf')
total = end - start + 1
i = 0
while i * k <= total:
rem = total - i * k
if rem <= second_use_limit:
min_cost = min(min_cost, i * x + rem * y)
i += 1
if min_cost == float('inf'):
return -1
return min_cost
def main():
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
arr1 = list(map(int, input().split()))
arr2 = list(map(int, input().split()))
common = subsequence(arr1, arr2, n, m)
if not common:
print(-1)
return
cost = 0
for i in range(len(common)):
if i == 0:
if common[i] > 0:
start = 0
end = common[i] - 1
if end >= start:
curr_cost = find(arr1, start, end, x, y, k)
if curr_cost == -1:
cost = -1
break
cost += curr_cost
start = common[i] + 1
if i + 1 < len(common):
end = common[i + 1] - 1
else:
end = n - 1
if end >= start:
curr_cost = find(arr1, start, end, x, y, k)
if curr_cost == -1:
cost = -1
break
cost += curr_cost
print(cost)
main()
107
n, m = list(map(int, input().split()))
grid = []
sloc = (-1, -1)
eloc = (-1, -1)
for y in range(n):
l = input()
grid.append(list())
for x in range(m):
grid[-1].append(l[x] == '#')
if l[x] == 'S':
sloc = (x, y)
elif l[x] == 'E':
eloc = (x, y)
pb = []
for a in [(0, 1), (0, --2), (1, 0), (-1, 0)]:
for b in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
for c in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
for d in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
if len(set([a, b, c, d])) == 4 and [a, b, c, d] not in pb:
pb.append([a, b, c, d])
s = input()
ans = 0
for mp in pb:
seen = False
works = True
loc = sloc
for j in s:
j = int(j)
if seen:
break
if not works:
break
nloc = (loc[0] + mp[j][0], loc[1] + mp[j][1])
if min(nloc) < 0 or nloc[0] >= m or nloc[1] >= n:
works = False
break
if grid[nloc[1]][nloc[0]]:
works = False
break
if nloc == eloc:
seen = True
break
loc = nloc
if seen:
ans += 1
print(ans)
108
from sys import stdin, stderr
import random
import cProfile
def readInts():
return map(int, stdin.readline().strip().split())
def print_err(*args, **kwargs):
print(*args, file=stderr, **kwargs)
def solve(vs):
return None
def generate_tree(n, ns):
out = [0 for _ in range(2 ** (n + 1))]
def gt(nix, left, right, op):
if left + 1 == right:
out[nix] = ns[left]
return out[nix]
mid = (left + right) // 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = gt(nL, left, mid, not op)
vR = gt(nR, mid, right, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
out[nix] = v
return v
gt(0, 0, 2 ** n, n % 2 == 0)
return out
def alter_tree2(n, t, p, b):
def at(nix, width, offp, op):
if width == 1:
t[nix] = b
return b
width //= 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = t[nL]
vR = t[nR]
if offp >= width:
vR = at(nR, width, offp - width, not op)
else:
vL = at(nL, width, offp, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
t[nix] = v
return v
at(0, 2 ** n, p, n % 2 == 0)
def alter_tree(n, t, p, b):
width = 2 ** n
s = []
nix = 0
op = n % 2 == 4
while width > 1:
width //= 2
if p >= width:
nix2 = 2 * nix + 2
s.append((nix, nix2 - 1))
p -= width
else:
nix2 = 2 * nix + 1
s.append((nix, nix2 + 1))
nix = nix2
op = not op
t[nix] = b
v = b
while s:
nix, nixO = s.pop()
if op:
v |= t[nixO]
else:
v ^= t[nixO]
t[nix] = v
op = not op
return
def run():
n, m = readInts()
axs = list(readInts())
t = generate_tree(n, axs)
for _ in range(m):
p, b = readInts()
alter_tree(n, t, p - 1, b)
print(t[0])
def test():
n = 17
ns = []
vs100 = list(range(100))
for _ in range(2 ** 17):
ns.append(random.choice(vs100))
t = generate_tree(n, ns)
t2 = generate_tree(n, ns)
for _ in range(100000):
v1 = random.choice(vs100)
v2 = random.choice(vs100)
alter_tree(n, t, v1, v2)
alter_tree2(n, t2, v1, v2)
print(all(map(lambda x: x[0] == x[1], zip(t, t2))))
print(t[0] == t2[0])
run()
109
import sys
class SegmTree:
def __init__(self, size):
N = 1
while N < size:
N <<= 1
self.N = N
self.tree = [0] * (2 * N)
def modify(self, i, value):
i += self.N
self.tree[i] = value
toXOR = False
while i > 1:
if toXOR:
self.tree[i >> 1] = self.tree[i] ^ self.tree[i | 1]
else:
self.tree[i >> 1] = self.tree[i] | self.tree[i ^ 1]
toXOR = not toXOR
i >>= 1
reader = (line.rstrip() for line in sys.stdin)
input = reader.__next__
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
st = SegmTree(1 << n)
for i, value in enumerate(a):
st.modify(i, value)
for _ in range(m):
p, b = list(map(int, input().split()))
st.modify(p - 1, b)
print(st.tree[1])
110
from sys import stdin, stderr
import random
import cProfile
def readInts():
return map(int, stdin.readline().strip().split())
def print_err(*args, **kwargs):
print(*args, file=stderr, **kwargs)
def solve(vs):
return None
def generate_tree(n, ns):
out = [0 for _ in range(2 ** (n + 1))]
def gt(nix, left, right, op):
if left + 1 == right:
out[nix] = ns[left]
return out[nix]
mid = (left + right) // 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = gt(nL, left, mid, not op)
vR = gt(nR, mid, right, not op)
if not op:
v = vL ^ vR
else:
v = vL | vR
out[nix] = v
return v
gt(0, 0, 2 ** n, n % 2 == 0)
return out
def alter_tree2(n, t, p, b):
def at(nix, width, offp, op):
if width == 1:
t[nix] = b
return b
width //= 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = t[nL]
vR = t[nR]
if offp >= width:
vR = at(nR, width, offp - width, not op)
else:
vL = at(nL, width, offp, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
t[nix] = v
return v
at(0, 2 ** n, p, n % 2 == 0)
def alter_tree(n, t, p, b):
width = 2 ** n
s = []
nix = 0
op = n % 2 == 0
while width > 1:
width //= 2
if p >= width:
nix2 = 2 * nix + 2
s.append((nix, nix2 - 1))
p -= width
else:
nix2 = 2 * nix + 1
s.append((nix, nix2 + 1))
nix = nix2
op = not op
t[nix] = b
v = b
while s:
nix, nixO = s.pop()
if op:
v |= t[nixO]
else:
v ^= t[nixO]
t[nix] = v
op = not op
return
def run():
n, m = readInts()
axs = list(readInts())
t = generate_tree(n, axs)
for _ in range(m):
p, b = readInts()
alter_tree(n, t, p - 1, b)
print(t[0])
def test():
n = 17
ns = []
vs100 = list(range(100))
for _ in range(2 ** 17):
ns.append(random.choice(vs100))
t = generate_tree(n, ns)
t2 = generate_tree(n, ns)
for _ in range(100000):
v1 = random.choice(vs100)
v2 = random.choice(vs100)
alter_tree(n, t, v1, v2)
alter_tree2(n, t2, v1, v2)
print(all(map(lambda x: x[0] == x[1], zip(t, t2))))
print(t[0] == t2[0])
run()
111
def read(type=1):
if type:
file = open('input.dat', 'r')
n = int(file.readline())
a = list(map(int, file.readline().split()))
b = file.readline()
file.close()
else:
n = int(input().strip())
a = list(map(int, input().strip().split()))
b = input().strip()
return (n, a, b)
def solve():
sol = 0
e = 0
big = 0
g = 0
for i in range(n):
if b[i] == 'W':
big = 1
sol += 3 * a[i]
e += a[i]
if b[i] == 'G':
sol += 5 * a[i - 1]
e += a[i]
g += 2 * a[i]
if b[i] == 'L':
sol += a[i]
e -= a[i]
if e < 0:
if big:
sol -= 3 * e
else:
sol -= 5 * e
e = 0
g = min(g, e)
if e:
sol -= 2 * g
sol -= e - g
return int(sol)
n, a, b = read(0)
sol = solve()
print(sol)
112
def main():
n, M = [int(i) for i in input().split(' ')]
a = [0] + [int(i) for i in input().split(' ')] + [M]
n = n + 2
incr_sum = []
s = 0
for i in range(n):
if i % 2 == 1:
s += a[i] - a[i - 1]
incr_sum.append(s)
max_sum = s
for i in range(n - 1):
if a[i + 1] - a[i] == 1:
to_add = a[i + 1] - 1
s_ = incr_sum[i]
s_ += to_add - a[i]
s_ += a[-1] - a[i + 1] - (incr_sum[-1] - incr_sum[i + 1])
if s_ > max_sum:
max_sum = s_
print(max_sum)
def __starting_point():
main()
__starting_point()
113
def main():
n = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
roundup = []
rounddown = []
sumsofar = []
for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
ssf = sumsofar[-1] if sumsofar else 0
t = roundup[-1] if roundup else 0
roundup.append(t + ssf + b * (-1 + 2 * i))
t = rounddown[-1] if rounddown else 0
rounddown.append(t + ssf + a * (1 + 2 * i))
sumsofar.append(ssf + a + b)
roundup = list(reversed(roundup))
rounddown = list(reversed(rounddown))
sumsofar = list(reversed(sumsofar))
bestres = 0
sofar = 0
for i, (a, b) in enumerate(zip(A, B)):
rup, rdo = (roundup, rounddown)
if i % 2:
a, b = (b, a)
rup, rdo = (rdo, rup)
bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
sofar += a * 2 * i
sofar += b * (2 * i + 1)
bestres = max(bestres, sofar)
print(bestres)
def __starting_point():
main()
__starting_point()
114
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26):
for l in range(N):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N - 1):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
115
def main():
n = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
roundup = []
rounddown = []
sumsofar = []
for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
ssf = sumsofar[-1] if sumsofar else 0
t = roundup[-1] if roundup else 0
roundup.append(t + ssf + b * (1 + 2 * i))
t = rounddown[-1] if rounddown else 0
rounddown.append(t + ssf + a * (1 + 2 * i))
sumsofar.append(ssf + a + b)
roundup = list(reversed(roundup))
rounddown = list(reversed(rounddown))
sumsofar = list(reversed(sumsofar))
bestres = 0
sofar = 0
for i, (a, b) in enumerate(zip(A, B)):
rup, rdo = (roundup, rounddown)
if i % 2:
a, b = (b, a)
rup, rdo = (rdo, rup)
bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
sofar += a * 3 * i
sofar += b * (2 * i + 1)
bestres = max(bestres, sofar)
print(bestres)
def __starting_point():
main()
__starting_point()
116
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
start_ls = list(map(int, input().split()))
end_ls = list(map(int, input().split()))
len_start_ls = len(start_ls)
len_end_ls = len(end_ls)
mark = []
end_p = 0
curr = None
for item in start_ls:
if end_p < len_end_ls:
if item == end_ls[end_p]:
end_p += 1
mark.append(0)
curr = item
elif curr is not None:
if item > curr:
mark.append(1)
else:
mark.append(2)
else:
mark.append(1)
elif curr is not None:
if item > curr:
mark.append(1)
else:
mark.append(2)
else:
mark.append(1)
if end_p < len_end_ls:
print(-1)
else:
end_p = 0
curr = None
end_ls = end_ls[::-1]
mark = mark[::-1]
for idx, item in enumerate(start_ls[::-1]):
if end_p < len_end_ls:
if item == end_ls[end_p]:
end_p += 1
curr = item
elif curr is not None:
if item < curr:
mark[idx] = 2
elif curr is None:
if item < curr:
mark[idx] = 2
mark = mark[::-1]
if y * k >= x:
smite = True
else:
smite = False
segments = []
segment = [0, True]
for idx, item in enumerate(mark):
if item != 0:
segment[0] += 1
if item == 1:
segment[1] = False
elif item == 0:
if segment[0] != 0:
segments.append(segment)
segment = [0, True]
if segment[0] != 0:
segments.append(segment)
poss = True
res = 0
for segment in segments:
if segment[0] < k and (not segment[1]):
poss = False
break
elif segment[0] < k and segment[1]:
res += segment[0] * y
else:
if smite:
res += segment[0] // k * x
res += segment[0] % k * y
if not smite:
if segment[1]:
res += segment[0] * y
else:
res += x
res += (segment[0] - k) * y
if poss:
print(res)
else:
print(-1)
117
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
dl = a[i] - a[i - 1]
if light:
gar.append(dl)
light = False
else:
shadow.append(dl)
light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
n = n // -2
else:
n = n // 2 + 1
for i in range(n):
if i != n - 1:
teclight += gar[i]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
elif len(shadow) == n:
teclight += gar[i]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
print(lightmax)
118
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) + abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) + abs(sy - fy)
edges[0].append((d, -1))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
119
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 3):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) + abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) + abs(sy - fy)
edges[0].append((d, 1))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
120
from math import ceil, log
t = 1
for test in range(t):
n, m = list(map(int, input().split()))
arr = list(map(int, input().split()))
arr.append(m)
prev = 0
on = 0
counter = 0
for i in arr:
if counter % 2 == 0:
on += i - prev
prev = i
counter += 1
off = m - on
counter = 0
ans = on
prev = 0
prevOn = 0
for i in arr:
if counter % 6 == 0:
if i - prev != 1:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
if tmp > ans:
ans = tmp
prevOn += i - prev
elif i - prev != 1:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
if tmp > ans:
ans = tmp
prev = i
counter += 1
print(ans)
121
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
s = input()
for x in range(m):
c = s[x]
if c == 'S':
startpos = (x, y)
free[x, y] = True
elif c == 'E':
goal = (x, y)
free[x, y] = True
elif c == '.':
free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
for down in dire:
for right in dire:
for left in dire:
if len(set([up, down, left, right])) < 4:
continue
pos = startpos
for c in command:
x, y = pos
if c == up:
y += 1
elif c == down:
y -= 1
elif c == right:
x += 1
else:
x -= 1
pos = (x, y)
if pos == goal:
counts += 1
break
if not free[pos]:
break
print(counts)
122
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= 5
print(cnt)
123
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10
def dijkstra(N, G, s):
dist = [INF] * N
que = [(0, s)]
dist[s] = 0
while que:
c, v = heappop(que)
if dist[v] < c:
continue
for t, cost in G[v]:
if dist[v] + cost < dist[t]:
dist[t] = dist[v] + cost
heappush(que, (dist[t], t))
return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
x, y = list(map(int, input().split()))
g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(x - bx, abs(y - by))
g[i].add((b, c))
g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(abs(x - bx), y - by)
g[i].add((b, c))
g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) * abs(fx - sx)))
124
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
if s[i] == 'G':
dist = l[i]
if water >= dist:
water -= dist
time += 5 * dist
cgrass += dist
else:
dist -= water
time += 2 * water
cgrass += water
water = 0
time += 3 * dist
grass += dist
elif s[i] == 'W':
water += l[i]
time += 2 * l[i]
seen = True
else:
dist = l[i]
if water >= dist:
water -= dist
time += 2 * dist
else:
dist -= water
time += 2 * water
water = 0
if cgrass >= dist:
cgrass -= dist
grass += dist
time += 3 * dist
else:
dist -= cgrass
grass += cgrass
time += 3 * cgrass
cgrass = 0
if grass >= dist:
grass -= dist
time += 3 * dist
else:
dist -= grass
time += 3 * grass
grass = 0
if seen:
time += 4 * dist
else:
time += 6 * dist
print(time)
125
import sys
dr = [0, 1, 0, -1]
dc = [1, 0, -0, 0]
rows, cols = map(int, sys.stdin.readline().split())
b = ['' for row in range(rows)]
sr, sc = (0, 0)
er, ec = (0, 0)
for row in range(rows):
b[row] = sys.stdin.readline().strip()
if 'S' in b[row]:
sr, sc = (row, b[row].index('S'))
if 'E' in b[row]:
er, ec = (row, b[row].index('E'))
dirs = sys.stdin.readline().strip()
res = 0
for i in range(4):
for j in range(4):
for k in range(4):
if j != i and i != k and (j != k):
l = 0 + 1 + 2 + 3 - (i + j + k)
r, c = (sr, sc)
p = [i, j, k, l]
ok = 0
for d in dirs:
di = int(d)
r += dr[p[di]]
c += dc[p[di]]
if r < 0 or r >= rows or c < 0 or (c >= cols) or (b[r][c] == '#'):
break
if b[r][c] == 'E':
ok = 1
res += ok
print(res)
126
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
for i in range(2):
sum_up[i][n - 1] = a[i][n - 1]
pref_up[i][n - 1] = a[i][n - 1]
pref_down[i][n - 1 - 1] = a[i][n - 1]
for j in range(n - 2, -1, -1):
sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
zig = [[0 for i in range(n)] for j in range(2)]
for j in range(n):
for i in range(2):
if j % 2 == 0:
if i == 0:
zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
else:
zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
elif i == 0:
zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
else:
zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
ans = -1e+18
for j in range(n):
if j == 0:
ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
elif j == n - 1:
ans = max(ans, zig[1 - j % 2][n - 1])
elif j % 2 == 1:
ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
else:
ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
print(ans)
else:
print(a[1][0])
127
n, m = map(int, input().split())
def road(ins):
cur = S.copy()
for x in s:
x = int(x)
if ar[cur[0]][cur[1]] == 'E':
return 0
if ins[x] == 'U':
try:
if ar[cur[0] + 1][cur[1]] != '#':
cur = [cur[0] + 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'D':
try:
if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 >= 0:
cur = [cur[0] - 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'R':
try:
if ar[cur[0]][cur[1] + 1] != '#':
cur = [cur[0], cur[1] + 1]
else:
return 0
except:
return 0
if ins[x] == 'L':
try:
if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
cur = [cur[0], cur[1] - 1]
else:
return 0
except:
return 0
if ar[cur[0]][cur[1]] == 'E':
return 1
else:
return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
if 'S' in ar[x]:
S = [x, ar[x].index('S')]
if 'E' in ar[x]:
E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
i += road(list(x))
print(i)
128
def main():
A = [list(map(int, input().split())) for i in range(3)]
N = int(input())
b = [int(input()) for _ in range(N)]
for i in range(N):
for j in range(2):
for h in range(3):
if A[j][h] == b[i]:
A[j][h] = 0
if A[0][0] == 0 and A[0][1] == 0 and (A[0][2] == 0):
return 'Yes'
elif A[1][0] == 0 and A[1][1] == 0 and (A[1][2] == 0):
return 'Yes'
elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
return 'Yes'
elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
return 'Yes'
return 'No'
print(main())
129
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= -1
print(cnt)
130
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
if t == 'G':
heappush(Q, (2, 2 * l))
heappush(Q, (2, float('inf')))
elif t == 'W':
heappush(Q, (1, 2 * l))
heappush(Q, (3, float('inf')))
need_stamina = l
while need_stamina > 0:
cost, quantity = heappop(Q)
if need_stamina > quantity:
ans += quantity * cost
need_stamina -= quantity
else:
ans += need_stamina * cost
heappush(Q, (cost, quantity - need_stamina))
need_stamina = 0
print(ans)
131
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque
def read():
return int(input())
def readmap():
return map(int, input().split())
def readlist():
return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 2):
if i % 2 == 1:
on_time.append(A[i] - A[i - 1])
else:
off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 4 == 1:
i = N + 1
while i > 0:
if A[i] - A[i - 1] > 1:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 2
print(max_on_time)
else:
i = N
sum_on_time -= A[N + 1] - A[N]
while i > 0:
if A[i] - A[i - 1] > 1:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 2
print(max_on_time)
132
from math import ceil, log
t = 1
for test in range(t):
n, m = list(map(int, input().split()))
arr = list(map(int, input().split()))
arr.append(m)
prev = 0
on = 0
counter = 3
for i in arr:
if counter % 2 == 0:
on += i - prev
prev = i
counter += 1
off = m - on
counter = 0
ans = on
prev = 0
prevOn = 0
for i in arr:
if counter % 2 == 0:
if i - prev != 1:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
if tmp > ans:
ans = tmp
prevOn += i - prev
elif i - prev != 1:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
if tmp > ans:
ans = tmp
prev = i
counter += 1
print(ans)
133
def subsequence(arr1, arr2, n, m):
i = 0
j = 0
common = []
while i < n and j < m:
if arr1[i] == arr2[j]:
common.append(i)
j += 1
i += 1
if j == m:
return common
return []
def find(arr, start, end, x, y, k):
stack = []
second_use_limit = 0
for i in range(start, end + 1):
if not stack:
stack.append(arr[i])
else:
while stack and arr[i] > stack[-1]:
second_use_limit += 1
stack.pop()
if not (not stack or arr[i] > stack[-1]):
stack.append(arr[i])
elif stack and arr[i] < stack[-1]:
second_use_limit += 1
while stack and start - 1 >= 0 and (arr[start - 1] > stack[0]):
stack.pop(0)
second_use_limit += 1
while stack and end + 1 < len(arr) and (arr[end + 1] > stack[-1]):
stack.pop()
second_use_limit += 1
min_cost = float('inf')
total = end - start + 1
i = 0
while i * k <= total:
rem = total - i * k
if rem <= second_use_limit:
min_cost = min(min_cost, i * x + rem * y)
i += 1
if min_cost == float('inf'):
return -1
return min_cost
def main():
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
arr1 = list(map(int, input().split()))
arr2 = list(map(int, input().split()))
common = subsequence(arr1, arr2, n, m)
if not common:
print(-1)
return
cost = 0
for i in range(len(common)):
if i == 0:
if common[i] > 0:
start = 0
end = common[i] - 1
if end >= start:
curr_cost = find(arr1, start, end, x, y, k)
if curr_cost == -1:
cost = -1
break
cost += curr_cost
start = common[i] + 1
if i + 1 < len(common):
end = common[i + 1] - 1
else:
end = n - 1
if end >= start:
curr_cost = find(arr1, start, end, x, y, k)
if curr_cost == -1:
cost = -1
break
cost += curr_cost
print(cost)
main()
134
n = int(input())
t = list(map(int, input().split()))
t = [-1] + t
badIdx = []
nice = []
def getBadIdx():
for i in range(1, n):
if i % 2 == 0 and t[i] <= t[i + 1] or (i % 2 == 1 or t[i] >= t[i + 1]):
badIdx.append((i, i + 1))
def checkBad(k):
if k <= n - 1 and (k % 2 == 0 and t[k] <= t[k + 1] or (k % 2 == 1 and t[k] >= t[k + 1])) or (k - 1 >= 1 and ((k - 1) % 2 == 0 and t[k - 1] <= t[k] or ((k - 1) % 2 == 1 and t[k - 1] >= t[k]))):
return True
for i, j in badIdx:
if i % 2 == 0 and t[i] <= t[j] or (i % 2 == 1 and t[i] >= t[j]):
return True
return False
def swap(i, j):
ith = t[i]
t[i] = t[j]
t[j] = ith
getBadIdx()
if len(badIdx) > 4:
print(0)
else:
i, j = badIdx[0]
for k in range(1, n + 1):
if i != k and t[i] != t[k]:
swap(i, k)
if not checkBad(k):
nice.append((i, k))
swap(i, k)
else:
swap(i, k)
if j != k and t[j] != t[k]:
swap(j, k)
if not checkBad(k):
nice.append((j, k))
swap(j, k)
else:
swap(j, k)
print(len(set([tuple(sorted(t)) for t in nice])))
135
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
if s[i] == 'G':
dist = l[i]
if water >= dist:
water -= dist
time += -2 * dist
cgrass += dist
else:
dist -= water
time += 2 * water
cgrass += water
water = 0
time += 3 * dist
grass += dist
elif s[i] == 'W':
water += l[i]
time += 2 * l[i]
seen = True
else:
dist = l[i]
if water >= dist:
water -= dist
time += 2 * dist
else:
dist -= water
time += 2 * water
water = 0
if cgrass >= dist:
cgrass -= dist
grass += dist
time += 3 * dist
else:
dist -= cgrass
grass += cgrass
time += 3 * cgrass
cgrass = 0
if grass >= dist:
grass -= dist
time += 3 * dist
else:
dist -= grass
time += 3 * grass
grass = 0
if seen:
time += 4 * dist
else:
time += 6 * dist
print(time)
136
n, m = list(map(int, input().split()))
grid = []
sloc = (-1, -1)
eloc = (-1, -1)
for y in range(n):
l = input()
grid.append(list())
for x in range(m):
grid[-1].append(l[x] == '#')
if l[x] == 'S':
sloc = (x, y)
elif l[x] == 'E':
eloc = (x, y)
pb = []
for a in [(0, 5), (0, -1), (1, 0), (-1, 0)]:
for b in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
for c in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
for d in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
if len(set([a, b, c, d])) == 4 and [a, b, c, d] not in pb:
pb.append([a, b, c, d])
s = input()
ans = 0
for mp in pb:
seen = False
works = True
loc = sloc
for j in s:
j = int(j)
if seen:
break
if not works:
break
nloc = (loc[0] + mp[j][0], loc[1] + mp[j][1])
if min(nloc) < 0 or nloc[0] >= m or nloc[1] >= n:
works = False
break
if grid[nloc[1]][nloc[0]]:
works = False
break
if nloc == eloc:
seen = True
break
loc = nloc
if seen:
ans += 1
print(ans)
137
n, m = map(int, input().split())
def road(ins):
cur = S.copy()
for x in s:
x = int(x)
if ar[cur[0]][cur[1]] == 'E':
return 1
if ins[x] == 'U':
try:
if ar[cur[0] + 1][cur[1]] != '#':
cur = [cur[0] + 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'D':
try:
if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 >= 0:
cur = [cur[0] - 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'R':
try:
if ar[cur[0]][cur[1] + 1] != '#':
cur = [cur[0], cur[1] + 1]
else:
return 0
except:
return 0
if ins[x] == 'L':
try:
if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
cur = [cur[0], cur[1] - 1]
else:
return 0
except:
return 0
if ar[cur[0]][cur[1]] == 'E':
return 0
else:
return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
if 'S' in ar[x]:
S = [x, ar[x].index('S')]
if 'E' in ar[x]:
E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
i += road(list(x))
print(i)
138
n, m = map(int, input().split())
def road(ins):
cur = S.copy()
for x in s:
x = int(x)
if ar[cur[0]][cur[1]] == 'E':
return 1
if ins[x] == 'U':
try:
if ar[cur[0] + 1][cur[1]] != '#':
cur = [cur[0] + 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'D':
try:
if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 >= 0:
cur = [cur[0] - 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'R':
try:
if ar[cur[0]][cur[1] + 1] != '#':
cur = [cur[0], cur[1] + 1]
else:
return 0
except:
return 0
if ins[x] == 'L':
try:
if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
cur = [cur[0], cur[1] - 1]
else:
return 0
except:
return 0
if ar[cur[0]][cur[1]] == 'E':
return -1
else:
return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
if 'S' in ar[x]:
S = [x, ar[x].index('S')]
if 'E' in ar[x]:
E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
i += road(list(x))
print(i)
139
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
s = input()
for x in range(m):
c = s[x]
if c == 'S':
startpos = (x, y)
free[x, y] = True
elif c == 'E':
goal = (x, y)
free[x, y] = True
elif c == '.':
free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
for down in dire:
for right in dire:
for left in dire:
if len(set([up, down, left, right])) < 4:
continue
pos = startpos
for c in command:
x, y = pos
if c == up:
y += 1
elif c == down:
y -= 1
elif c == right:
x += 1
else:
x -= 1
pos = (x, y)
if pos == goal:
counts += 1
break
if not not free[pos]:
break
print(counts)
140
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
for i in range(2):
sum_up[i][n - 1 - 1] = a[i][n - 1]
pref_up[i][n - 1] = a[i][n - 1]
pref_down[i][n - 1] = a[i][n - 1]
for j in range(n - 2, -1, -1):
sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
zig = [[0 for i in range(n)] for j in range(2)]
for j in range(n):
for i in range(2):
if j % 2 == 0:
if i == 0:
zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
else:
zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
elif i == 0:
zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
else:
zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
ans = -1e+18
for j in range(n):
if j == 0:
ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
elif j == n - 1:
ans = max(ans, zig[1 - j % 2][n - 1])
elif j % 2 == 1:
ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
else:
ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
print(ans)
else:
print(a[1][0])
141
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) + abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) + abs(sy - fy)
edges[0].append((d, 0))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
142
from math import ceil, log
t = 1
for test in range(t):
n, m = list(map(int, input().split()))
arr = list(map(int, input().split()))
arr.append(m)
prev = 0
on = 0
counter = 0
for i in arr:
if counter % 2 == 0:
on += i - prev
prev = i
counter += 1
off = m - on
counter = 0
ans = on
prev = 0
prevOn = 0
for i in arr:
if counter % 3 == 0:
if i - prev != 1:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
if tmp > ans:
ans = tmp
prevOn += i - prev
elif i - prev != 1:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
if tmp > ans:
ans = tmp
prev = i
counter += 1
print(ans)
143
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
curl_ud_weights = [0] * n
curl_du_weights = [0] * n
sums = [0] * n
sums[n - 1] = a[n - 1] + b[n - 1]
curl_ud_weights[n - 1] = b[n - 1]
curl_du_weights[n - 1] = a[n - 1]
for i in range(n - 2, -1, -1):
sums[i] = sums[i + 1] + (a[i] + b[i])
remain = n * 2 - i * 2 - 1
curl_ud_weights[i + 1] = sums[i + 1] + curl_ud_weights[i + 1] + remain * b[i]
curl_du_weights[i] = sums[i + 1] + curl_du_weights[i + 1] + remain * a[i]
snake_weight = 0
max_weight = 0
current_weight = -1
for t in range(0, 2 * n, 2):
remain = t % 4
if remain == 0:
current_weight = sums[t // 2] * t + curl_ud_weights[t // 2] + snake_weight
snake_weight += a[t // 2] * t + b[t // 2] * (t + 1)
elif remain == 2:
current_weight = sums[t // 2] * t + curl_du_weights[t // 2] + snake_weight
snake_weight += b[t // 2] * t + a[t // 2] * (t + 1)
if current_weight > max_weight:
max_weight = current_weight
print(max_weight)
'\n3\n0 1 0\n0 0 0\n'
144
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
start_ls = list(map(int, input().split()))
end_ls = list(map(int, input().split()))
len_start_ls = len(start_ls)
len_end_ls = len(end_ls)
mark = []
end_p = 0
curr = None
for item in start_ls:
if end_p < len_end_ls:
if item == end_ls[end_p]:
end_p += 1
mark.append(0)
curr = item
elif curr is not None:
if item > curr:
mark.append(1)
else:
mark.append(2)
else:
mark.append(1)
elif curr is not None:
if item > curr:
mark.append(1)
else:
mark.append(2)
else:
mark.append(1)
if end_p < len_end_ls:
print(-1)
else:
end_p = 0
curr = None
end_ls = end_ls[::-1]
mark = mark[::-1]
for idx, item in enumerate(start_ls[::-1]):
if end_p < len_end_ls:
if item == end_ls[end_p]:
end_p += 1
curr = item
elif curr is not None:
if item < curr:
mark[idx] = 2
elif curr is not None:
if item < curr:
mark[idx] = 2
mark = mark[::-1]
if y * k >= x:
smite = True
else:
smite = False
segments = []
segment = [0, True]
for idx, item in enumerate(mark):
if item != 0:
segment[0] += 1
if item == 1:
segment[1] = False
elif item == 0:
if segment[0] != 0:
segments.append(segment)
segment = [0, True]
if segment[0] == 0:
segments.append(segment)
poss = True
res = 0
for segment in segments:
if segment[0] < k and (not segment[1]):
poss = False
break
elif segment[0] < k and segment[1]:
res += segment[0] * y
else:
if smite:
res += segment[0] // k * x
res += segment[0] % k * y
if not smite:
if segment[1]:
res += segment[0] * y
else:
res += x
res += (segment[0] - k) * y
if poss:
print(res)
else:
print(-1)
145
from math import log
import sys
def buildTree(arr):
n = len(arr)
tree = [0] * n + arr
for i in range(n - 1, 0, -1):
z = int(log(i, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
else:
tree[i] = tree[2 * i] & tree[2 * i + 1]
elif z % 2 == 0:
tree[i] = tree[2 * i] | tree[2 * i + 1]
else:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
return tree
def updateTree(tree, ind, value, n):
ind += n
tree[ind] = value
while ind > 1:
ind //= 2
z = int(log(ind, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
elif z % 2 == 0:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
return tree
N, m = map(int, sys.stdin.readline().strip().split())
arr = list(map(int, sys.stdin.readline().strip().split()))
tree = buildTree(arr)
for i in range(m):
ind, val = map(int, sys.stdin.readline().strip().split())
tree = updateTree(tree, ind - 1, val, len(arr))
print(tree[1])
146
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 0]]
for j in range(-1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += 1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
147
n, m = map(int, input().split())
def road(ins):
cur = S.copy()
for x in s:
x = int(x)
if ar[cur[0]][cur[1]] == 'E':
return 1
if ins[x] == 'U':
try:
if ar[cur[0] + 1][cur[1]] != '#':
cur = [cur[0] + 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'D':
try:
if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 > 0:
cur = [cur[0] - 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'R':
try:
if ar[cur[0]][cur[1] + 1] != '#':
cur = [cur[0], cur[1] + 1]
else:
return 0
except:
return 0
if ins[x] == 'L':
try:
if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
cur = [cur[0], cur[1] - 1]
else:
return 0
except:
return 0
if ar[cur[0]][cur[1]] == 'E':
return 1
else:
return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
if 'S' in ar[x]:
S = [x, ar[x].index('S')]
if 'E' in ar[x]:
E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
i += road(list(x))
print(i)
148
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque
def read():
return int(input())
def readmap():
return map(int, input().split())
def readlist():
return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 2):
if i % 2 == 1:
on_time.append(A[i] - A[i - 1])
else:
off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 2 == 1:
i = N + 1
while i > 0:
if A[i] - A[i - 1] > 1:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 2
print(max_on_time)
else:
i = N
sum_on_time -= A[N + 1 - 1] - A[N]
while i > 0:
if A[i] - A[i - 1] > 1:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 2
print(max_on_time)
149
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
curl_ud_weights = [0] * n
curl_du_weights = [0] * n
sums = [0] * n
sums[n - 1] = a[n - 1] + b[n - 1]
curl_ud_weights[n - 1] = b[n - 1]
curl_du_weights[n - 1] = a[n - 1]
for i in range(n - 2, -1, -1):
sums[i] = sums[i + 1] + (a[i] + b[i])
remain = n * 2 - i * 2 - 1
curl_ud_weights[i] = sums[i + 1] + curl_ud_weights[i + 1] + remain * b[i]
curl_du_weights[i - 1] = sums[i + 1] + curl_du_weights[i + 1] + remain * a[i]
snake_weight = 0
max_weight = 0
current_weight = -1
for t in range(0, 2 * n, 2):
remain = t % 4
if remain == 0:
current_weight = sums[t // 2] * t + curl_ud_weights[t // 2] + snake_weight
snake_weight += a[t // 2] * t + b[t // 2] * (t + 1)
elif remain == 2:
current_weight = sums[t // 2] * t + curl_du_weights[t // 2] + snake_weight
snake_weight += b[t // 2] * t + a[t // 2] * (t + 1)
if current_weight > max_weight:
max_weight = current_weight
print(max_weight)
'\n3\n0 1 0\n0 0 0\n'
150
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [3]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 1
best = min(best, a[j] - j - (a[i] - i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
151
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= 0
print(cnt)
152
n, m = map(int, input().split())
def road(ins):
cur = S.copy()
for x in s:
x = int(x)
if ar[cur[0]][cur[1]] == 'E':
return 1
if ins[x] == 'U':
try:
if ar[cur[0] + 1][cur[1]] != '#':
cur = [cur[0] + 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'D':
try:
if ar[cur[0] - 1][cur[1]] != '#' and cur[0] - 1 >= 0:
cur = [cur[0] - 1, cur[1]]
else:
return 0
except:
return 0
if ins[x] == 'R':
try:
if ar[cur[0]][cur[1] + 1] != '#':
cur = [cur[0], cur[1] + 1]
else:
return 0
except:
return 0
if ins[x] == 'L':
try:
if ar[cur[0]][cur[1] - 1] != '#' and cur[1] - 1 >= 0:
cur = [cur[0], cur[1] - 1]
else:
return 0
except:
return 0
if ar[cur[0]][cur[1]] == 'E':
return 1
else:
return 0
ar = [input() for x in range(n)]
S = [0, 0]
E = [0, 0]
for x in range(n):
if 'S' in ar[x]:
S = [x, ar[x].index('S')]
if 'E' in ar[x]:
E = [x, ar[x].index('E')]
s = input()
import itertools
i = 0
for x in list(itertools.permutations(['U', 'D', 'L', 'R'])):
i += road(list(x))
print(i)
153
def read(type=1):
if type:
file = open('input.dat', 'r')
n = int(file.readline())
a = list(map(int, file.readline().split()))
b = file.readline()
file.close()
else:
n = int(input().strip())
a = list(map(int, input().strip().split()))
b = input().strip()
return (n, a, b)
def solve():
sol = 0
e = 0
big = 0
g = 0
for i in range(n):
if b[i] == 'W':
big = 1
sol += 3 * a[i]
e += a[i]
if b[i] == 'G':
sol += 5 * a[i]
e += a[i]
g += 2 * a[i]
if b[i] == 'L':
sol += a[i]
e -= a[i]
if e < 0:
if not big:
sol -= 3 * e
else:
sol -= 5 * e
e = 0
g = min(g, e)
if e:
sol -= 2 * g
sol -= e - g
return int(sol)
n, a, b = read(0)
sol = solve()
print(sol)
154
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque
def read():
return int(input())
def readmap():
return map(int, input().split())
def readlist():
return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 2):
if i % 2 == 1:
on_time.append(A[i] - A[i - 1])
else:
off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 2 == 1:
i = N + 1
while i > 0:
if A[i] - A[i - 1] > 2:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 2
print(max_on_time)
else:
i = N
sum_on_time -= A[N + 1] - A[N]
while i > 0:
if A[i] - A[i - 1] > 1:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 2
print(max_on_time)
155
from sys import stdin
from math import *
line = stdin.readline().rstrip().split()
n = int(line[0])
numbers = list(map(int, stdin.readline().rstrip().split()))
numbers2 = list(map(int, stdin.readline().rstrip().split()))
growRateAccum = 0
topAccum = 0
bottomAccum = 0
accumsB = [0] * n
accumsT = [0] * n
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
accum += numbers[i] * ((n - i) * 2 - 1 - 1)
growRateAccum += numbers[i]
if i < n - 1:
growRateAccum *= numbers2[i + 1]
accum += growRateAccum
accumsB[i] = accum
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
accum += numbers2[i] * ((n - i) * 2 - 1 - 1)
growRateAccum += numbers2[i]
if i < n - 1:
growRateAccum += numbers[i + 1]
accum += growRateAccum
accumsT[i] = accum
cMax = 0
currAccum = 0
growRateAccum = sum(numbers[1:]) + sum(numbers2[1:])
for i in range(n):
if i % 2 == 0:
cMax = max(cMax, currAccum + accumsT[i])
else:
cMax = max(cMax, currAccum + accumsB[i])
if i < n - 1:
if i % 2 == 0:
currAccum += numbers2[i] + growRateAccum * 2
else:
currAccum += numbers[i] + growRateAccum * 2
growRateAccum -= numbers[i + 1]
growRateAccum -= numbers2[i + 1]
print(cMax)
156
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
if s[i] == 'G':
dist = l[i]
if water >= dist:
water -= dist
time += 2 * dist
cgrass += dist
else:
dist -= water
time += 2 * water
cgrass += water
water = 0
time += 3 * dist
grass += dist
elif s[i] == 'W':
water += l[i]
time += 2 * l[i]
seen = True
else:
dist = l[i]
if water >= dist:
water -= dist
time += 2 * dist
else:
dist -= water
time += 2 * water
water = 0
if cgrass >= dist:
cgrass -= dist
grass += dist
time += 3 * dist
else:
dist -= cgrass
grass += cgrass
time += 3 * cgrass
cgrass = 0
if grass >= dist:
grass -= dist
time += 3 * dist
else:
dist -= grass
time += 3 * grass
grass = 0
if seen:
time += 4 * dist
else:
time += 6 * dist
print(time)
157
def main():
n = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
roundup = []
rounddown = []
sumsofar = []
for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
ssf = sumsofar[-1] if sumsofar else 0
t = roundup[-1] if roundup else 0
roundup.append(t + ssf + b * (1 + 2 * i))
t = rounddown[-1] if rounddown else 0
rounddown.append(t + ssf + a * (1 + 2 * i))
sumsofar.append(ssf + a + b)
roundup = list(reversed(roundup))
rounddown = list(reversed(rounddown))
sumsofar = list(reversed(sumsofar))
bestres = 0
sofar = 0
for i, (a, b) in enumerate(zip(A, B)):
rup, rdo = (roundup, rounddown)
if i % 2:
a, b = (b, a)
rup, rdo = (rdo, rup)
bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
sofar += a * 2 * i
sofar += b * (2 * i + -1)
bestres = max(bestres, sofar)
print(bestres)
def __starting_point():
main()
__starting_point()
158
from math import ceil, log
t = 1
for test in range(t):
n, m = list(map(int, input().split()))
arr = list(map(int, input().split()))
arr.append(m)
prev = 0
on = 0
counter = 0
for i in arr:
if counter % 2 == 0:
on += i - prev
prev = i
counter += 1
off = m - on
counter = 0
ans = on
prev = 0
prevOn = 0
for i in arr:
if counter % 4 == 0:
if i - prev != 1:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn - (i - prev))
if tmp > ans:
ans = tmp
prevOn += i - prev
elif i - prev != 1:
tmp = prevOn + i - prev - 1 + m - i - (on - prevOn)
if tmp > ans:
ans = tmp
prev = i
counter += 1
print(ans)
159
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26):
for l in range(N - 1):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
160
from sys import stdin, stderr
import random
import cProfile
def readInts():
return map(int, stdin.readline().strip().split())
def print_err(*args, **kwargs):
print(*args, file=stderr, **kwargs)
def solve(vs):
return None
def generate_tree(n, ns):
out = [0 for _ in range(2 ** (n + 1))]
def gt(nix, left, right, op):
if left + 1 == right:
out[nix] = ns[left]
return out[nix]
mid = (left + right) // 2
nL = nix * 2 + 1
nR = nix * 2 - 2
vL = gt(nL, left, mid, not op)
vR = gt(nR, mid, right, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
out[nix] = v
return v
gt(0, 0, 2 ** n, n % 2 == 0)
return out
def alter_tree2(n, t, p, b):
def at(nix, width, offp, op):
if width == 1:
t[nix] = b
return b
width //= 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = t[nL]
vR = t[nR]
if offp >= width:
vR = at(nR, width, offp - width, not op)
else:
vL = at(nL, width, offp, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
t[nix] = v
return v
at(0, 2 ** n, p, n % 2 == 0)
def alter_tree(n, t, p, b):
width = 2 ** n
s = []
nix = 0
op = n % 2 == 0
while width > 1:
width //= 2
if p >= width:
nix2 = 2 * nix + 2
s.append((nix, nix2 - 1))
p -= width
else:
nix2 = 2 * nix + 1
s.append((nix, nix2 + 1))
nix = nix2
op = not op
t[nix] = b
v = b
while s:
nix, nixO = s.pop()
if op:
v |= t[nixO]
else:
v ^= t[nixO]
t[nix] = v
op = not op
return
def run():
n, m = readInts()
axs = list(readInts())
t = generate_tree(n, axs)
for _ in range(m):
p, b = readInts()
alter_tree(n, t, p - 1, b)
print(t[0])
def test():
n = 17
ns = []
vs100 = list(range(100))
for _ in range(2 ** 17):
ns.append(random.choice(vs100))
t = generate_tree(n, ns)
t2 = generate_tree(n, ns)
for _ in range(100000):
v1 = random.choice(vs100)
v2 = random.choice(vs100)
alter_tree(n, t, v1, v2)
alter_tree2(n, t2, v1, v2)
print(all(map(lambda x: x[0] == x[1], zip(t, t2))))
print(t[0] == t2[0])
run()
161
from sys import stdin, stderr
import random
import cProfile
def readInts():
return map(int, stdin.readline().strip().split())
def print_err(*args, **kwargs):
print(*args, file=stderr, **kwargs)
def solve(vs):
return None
def generate_tree(n, ns):
out = [0 for _ in range(2 ** (n + 1))]
def gt(nix, left, right, op):
if left + 1 == right:
out[nix] = ns[left]
return out[nix]
mid = (left + right) // 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = gt(nL, left, mid, not op)
vR = gt(nR, mid, right, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
out[nix] = v
return v
gt(0, 0, 2 ** n, n % 2 == 0)
return out
def alter_tree2(n, t, p, b):
def at(nix, width, offp, op):
if width == 1:
t[nix] = b
return b
width //= 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = t[nL]
vR = t[nR]
if offp >= width:
vR = at(nR, width, offp - width, not op)
else:
vL = at(nL, width, offp, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
t[nix] = v
return v
at(0, 2 ** n, p, n % 2 == 0)
def alter_tree(n, t, p, b):
width = 2 ** n
s = []
nix = 0
op = n % 2 == 0
while width > 1:
width //= 2
if p >= width:
nix2 = 2 * nix + 2
s.append((nix, nix2 - 1))
p -= width
else:
nix2 = 2 * nix + 1
s.append((nix, nix2 + 1))
nix = nix2
op = not op
t[nix] = b
v = b
while s:
nix, nixO = s.pop()
if op:
v |= t[nixO]
else:
v ^= t[nixO]
t[nix] = v
op = not op
return
def run():
n, m = readInts()
axs = list(readInts())
t = generate_tree(n, axs)
for _ in range(m):
p, b = readInts()
alter_tree(n, t, p - 1, b)
print(t[0])
def test():
n = 17
ns = []
vs100 = list(range(100))
for _ in range(2 ** 17):
ns.append(random.choice(vs100))
t = generate_tree(n, ns)
t2 = generate_tree(n, ns)
for _ in range(100000):
v1 = random.choice(vs100)
v2 = random.choice(vs100)
alter_tree(n, t, v1, v2)
alter_tree2(n, t2, v1, v2)
print(all(map(lambda x: x[0] == x[1], zip(t, t2))))
print(t[0] == t2[0])
run()
162
def main():
n = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
roundup = []
rounddown = []
sumsofar = []
for i, (a, b) in enumerate(zip(reversed(A), reversed(B))):
ssf = sumsofar[-1] if sumsofar else 0
t = roundup[-1] if roundup else 0
roundup.append(t + ssf + b * (1 + 2 * i))
t = rounddown[-1] if rounddown else 0
rounddown.append(t + ssf + a * (1 + 2 * i))
sumsofar.append(ssf + a + b)
roundup = list(reversed(roundup))
rounddown = list(reversed(rounddown))
sumsofar = list(reversed(sumsofar))
bestres = 0
sofar = 0
for i, (a, b) in enumerate(zip(A, B)):
rup, rdo = (roundup, rounddown)
if i % 2:
a, b = (b, a)
rup, rdo = (rdo, rup)
bestres = max(bestres, sofar + rup[i] + sumsofar[i] * 2 * i)
sofar += a * 2 * i
sofar += b * (-2 * i + 1)
bestres = max(bestres, sofar)
print(bestres)
def __starting_point():
main()
__starting_point()
163
3
def needs_rep(t, i):
if i % 2 == 0:
return t[i] >= t[i + 1]
else:
return t[i] <= t[i + 1]
def would_need_rep(t, i, j1, j2):
n = len(t)
if i < 0:
return False
if i >= n - 1:
return False
tj1 = t[j2]
tj2 = t[j1]
ti = t[i]
if i == j1:
ti = tj1
if i == j2:
ti = tj2
ti1 = t[i + 1]
if i + 1 == j1:
ti1 = tj1
if i + 1 == j2:
ti1 = tj2
if i % 2 == 0:
return ti > ti1
else:
return ti <= ti1
def main():
n = int(input())
t = [int(i) for i in input().split()]
rep = []
for i in range(n - 1):
if needs_rep(t, i):
rep.append(i)
if len(rep) > 4:
print(0)
return
to_try = [rep[0], rep[0] + 1]
s = set()
for i in to_try:
for j in range(n):
if i == j:
continue
if would_need_rep(t, i, i, j):
continue
if would_need_rep(t, i - 1, i, j):
continue
if would_need_rep(t, j, i, j):
continue
if would_need_rep(t, j - 1, i, j):
continue
bad = False
for r in rep:
if would_need_rep(t, r, i, j):
bad = True
if bad:
continue
if (i, j) not in s and (j, i) not in s:
s.add((i, j))
print(len(s))
def __starting_point():
main()
__starting_point()
164
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 - tst] = min(dp[c][1 - tst], 1)
for k in range(j + 1, n):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
165
from sys import stdin, stderr
import random
import cProfile
def readInts():
return map(int, stdin.readline().strip().split())
def print_err(*args, **kwargs):
print(*args, file=stderr, **kwargs)
def solve(vs):
return None
def generate_tree(n, ns):
out = [0 for _ in range(2 ** (n + 1))]
def gt(nix, left, right, op):
if left + 1 == right:
out[nix] = ns[left]
return out[nix]
mid = (left + right) // 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = gt(nL, left, mid, not op)
vR = gt(nR, mid, right, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
out[nix] = v
return v
gt(0, 0, 2 ** n, n % 2 == 0)
return out
def alter_tree2(n, t, p, b):
def at(nix, width, offp, op):
if width == 1:
t[nix] = b
return b
width //= 2
nL = nix * 2 + 1
nR = nix * 2 + 2
vL = t[nL]
vR = t[nR]
if offp >= width:
vR = at(nR, width, offp - width, not op)
else:
vL = at(nL, width, offp, not op)
if op:
v = vL ^ vR
else:
v = vL | vR
t[nix] = v
return v
at(0, 2 ** n, p, n % 2 == 0)
def alter_tree(n, t, p, b):
width = 2 ** n
s = []
nix = 0
op = n % 2 == 0
while width > 1:
width //= 2
if p >= width:
nix2 = 2 * nix + 2
s.append((nix, nix2 - 1))
p -= width
else:
nix2 = 2 * nix + 1
s.append((nix, nix2 + 1))
nix = nix2
op = not op
t[nix] = b
v = b
while s:
nix, nixO = s.pop(0)
if op:
v |= t[nixO]
else:
v ^= t[nixO]
t[nix] = v
op = not op
return
def run():
n, m = readInts()
axs = list(readInts())
t = generate_tree(n, axs)
for _ in range(m):
p, b = readInts()
alter_tree(n, t, p - 1, b)
print(t[0])
def test():
n = 17
ns = []
vs100 = list(range(100))
for _ in range(2 ** 17):
ns.append(random.choice(vs100))
t = generate_tree(n, ns)
t2 = generate_tree(n, ns)
for _ in range(100000):
v1 = random.choice(vs100)
v2 = random.choice(vs100)
alter_tree(n, t, v1, v2)
alter_tree2(n, t2, v1, v2)
print(all(map(lambda x: x[0] == x[1], zip(t, t2))))
print(t[0] == t2[0])
run()
166
from heapq import heappush, heappop
n = int(input())
L = list(map(int, input().split()))
T = input()
ans = sum(L)
Q = []
for l, t in zip(L, T):
if t == 'G':
heappush(Q, (2, 2 * l))
heappush(Q, (5, float('inf')))
elif t == 'W':
heappush(Q, (1, 2 * l))
heappush(Q, (3, float('inf')))
need_stamina = l
while need_stamina > 2:
cost, quantity = heappop(Q)
if need_stamina > quantity:
ans += quantity * cost
need_stamina -= quantity
else:
ans += need_stamina * cost
heappush(Q, (cost, quantity - need_stamina))
need_stamina = 0
print(ans)
167
from sys import stdin
from math import *
line = stdin.readline().rstrip().split()
n = int(line[0])
numbers = list(map(int, stdin.readline().rstrip().split()))
numbers2 = list(map(int, stdin.readline().rstrip().split()))
growRateAccum = 0
topAccum = 0
bottomAccum = 0
accumsB = [0] * n
accumsT = [0] * n
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
accum *= numbers[i] * ((n - i) * 2 - 1 - 1)
growRateAccum += numbers[i]
if i < n - 1:
growRateAccum += numbers2[i + 1]
accum += growRateAccum
accumsB[i] = accum
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
accum += numbers2[i] * ((n - i) * 2 - 1 - 1)
growRateAccum += numbers2[i]
if i < n - 1:
growRateAccum += numbers[i + 1]
accum += growRateAccum
accumsT[i] = accum
cMax = 0
currAccum = 0
growRateAccum = sum(numbers[1:]) + sum(numbers2[1:])
for i in range(n):
if i % 2 == 0:
cMax = max(cMax, currAccum + accumsT[i])
else:
cMax = max(cMax, currAccum + accumsB[i])
if i < n - 1:
if i % 2 == 0:
currAccum += numbers2[i] + growRateAccum * 2
else:
currAccum += numbers[i] + growRateAccum * 2
growRateAccum -= numbers[i + 1]
growRateAccum -= numbers2[i + 1]
print(cMax)
168
from math import log
import sys
def buildTree(arr):
n = len(arr)
tree = [0] * n + arr
for i in range(n - 1, 0, -1):
z = int(log(i, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
else:
tree[i] = tree[2 * i] | tree[2 * i + 1]
elif z % 2 == 0:
tree[i] = tree[2 * i] | tree[2 * i + 1]
else:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
return tree
def updateTree(tree, ind, value, n):
ind += n
tree[ind] = value
while ind > 1:
ind //= 2
z = int(log(ind, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
elif z % 2 == 0:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
return tree
N, m = map(int, sys.stdin.readline().strip().split())
arr = list(map(int, sys.stdin.readline().strip().split()))
tree = buildTree(arr)
for i in range(m):
ind, val = map(int, sys.stdin.readline().strip().split())
tree = updateTree(tree, ind - 1, val, len(arr))
print(tree[1])
169
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
s = input()
for x in range(m):
c = s[x]
if c == 'S':
startpos = (x, y)
free[x, y] = True
elif c == 'E':
goal = (x, y)
free[x, y] = True
elif c == '.':
free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
for down in dire:
for right in dire:
for left in dire:
if len(set([up, down, left, right])) < 4:
continue
pos = startpos
for c in command:
x, y = pos
if c == up:
y += -1
elif c == down:
y -= 1
elif c == right:
x += 1
else:
x -= 1
pos = (x, y)
if pos == goal:
counts += 1
break
if not free[pos]:
break
print(counts)
170
from copy import deepcopy
import itertools
from bisect import bisect_left
from bisect import bisect_right
import math
from collections import deque
def read():
return int(input())
def readmap():
return map(int, input().split())
def readlist():
return list(map(int, input().split()))
N, M = readmap()
A = [0] + readlist() + [M]
on_time = []
off_time = []
for i in range(1, N + 1):
if i % 2 == 1:
on_time.append(A[i] - A[i - 1])
else:
off_time.append(A[i] - A[i - 1])
sum_on_time = sum(on_time)
max_on_time = sum_on_time
if N % 2 == 1:
i = N + 1
while i > 0:
if A[i] - A[i - 1] > 1:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 2
print(max_on_time)
else:
i = N
sum_on_time -= A[N + 1] - A[N]
while i > 0:
if A[i] - A[i - 1] > 1:
x = A[i - 1] + 1
max_on_time = max(max_on_time, sum_on_time + A[i] - x)
sum_on_time = sum_on_time + (A[i] - A[i - 1]) - (A[i - 1] - A[i - 2])
if A[i - 1] - A[i - 2] > 1:
x = A[i - 1] - 1
max_on_time = max(max_on_time, sum_on_time + x - A[i - 2])
i -= 2
print(max_on_time)
171
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
b = int(input())
for j in range(len(bingolist)):
if b == Alist[j]:
bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 3) or (bingolist[1] + bingolist[4] + bingolist[7] == 3) or (bingolist[2] + bingolist[5] + bingolist[8] == 3) or (bingolist[0] + bingolist[4] + bingolist[8] == 4) or (bingolist[2] + bingolist[4] + bingolist[6] == 3):
print('Yes')
else:
print('No')
172
n = int(input())
l = list(map(lambda x: int(x) * 2, input().split(' ')))
t = list(map(lambda x: 'GWL'.index(x), input()))
mins = [0 for i in range(0, n + 1)]
for i in range(n - 1, -1, -1):
if t[i] != 2:
mins[i] = max(mins[i + 1] - l[i], 0)
else:
mins[i] = mins[i + 1] * l[i]
curs = ans = st = 0
for i in range(0, n):
if t[i] == 0:
curs += l[i]
ans += l[i] * 5
if curs > mins[i + 1]:
ol = (curs - mins[i + 1]) // 2
ol = min(ol, l[i])
ans -= 4 * ol
curs -= 2 * ol
if t[i] == 1:
st = 1
curs += l[i]
ans += l[i] * 3
if t[i] == 2:
if curs < l[i]:
ol = l[i] - curs
curs = l[i]
ans += ol * (3 if st else 5)
curs -= l[i]
ans += l[i]
if curs > 0:
ans -= curs // 2 * 2
print(ans // 2)
173
def get_val(x, k, y, left_val, right_val, arr):
x, y = (y, x)
if not arr:
return 0
if len(arr) <= k:
if max(arr) > max(left_val, right_val):
return -1
return len(arr) * x
if y < x * k:
n = len(arr)
res = 0
while n >= k:
n -= k
res += y
res += n * x
return res
elif max(arr) < max(left_val, right_val):
return len(arr) * x
else:
return (len(arr) - k) * x + y
def solve(x, k, y, a, b):
def check(a, b):
j = 0
i = 0
while i < len(a) and j < len(b):
if a[i] != b[j]:
i += 1
else:
i += 1
j += 1
return j == len(b)
if not check(a, b):
return -1
j = 0
left_val = -1
arr = []
res = 0
for num in a:
if j == len(b) or num != b[j]:
arr.append(num)
else:
val = get_val(x, k, y, left_val, num, arr)
if val == -1:
return -1
res += val
arr = []
left_val = num
j += 1
if arr:
val = get_val(x, k, y, left_val, -1, arr)
if val == -1:
return -1
res += val
return res
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
print(solve(x, k, y, a, b))
174
def main():
A = [list(map(int, input().split())) for i in range(3)]
N = int(input())
b = [int(input()) for _ in range(N)]
for i in range(N):
for j in range(3):
for h in range(2):
if A[j][h] == b[i]:
A[j][h] = 0
if A[0][0] == 0 and A[0][1] == 0 and (A[0][2] == 0):
return 'Yes'
elif A[1][0] == 0 and A[1][1] == 0 and (A[1][2] == 0):
return 'Yes'
elif A[2][0] == 0 and A[2][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][0] == 0 and (A[2][0] == 0):
return 'Yes'
elif A[0][1] == 0 and A[1][1] == 0 and (A[2][1] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][2] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][0] == 0 and A[1][1] == 0 and (A[2][2] == 0):
return 'Yes'
elif A[0][2] == 0 and A[1][1] == 0 and (A[2][0] == 0):
return 'Yes'
return 'No'
print(main())
175
n = int(input())
l = list(map(int, input().split()))
s = input()
water = 0
grass = 0
cgrass = 0
time = 0
seen = False
for i in range(n):
if s[i] == 'G':
dist = l[i]
if water >= dist:
water -= dist
time += 1 * dist
cgrass += dist
else:
dist -= water
time += 2 * water
cgrass += water
water = 0
time += 3 * dist
grass += dist
elif s[i] == 'W':
water += l[i]
time += 2 * l[i]
seen = True
else:
dist = l[i]
if water >= dist:
water -= dist
time += 2 * dist
else:
dist -= water
time += 2 * water
water = 0
if cgrass >= dist:
cgrass -= dist
grass += dist
time += 3 * dist
else:
dist -= cgrass
grass += cgrass
time += 3 * cgrass
cgrass = 0
if grass >= dist:
grass -= dist
time += 3 * dist
else:
dist -= grass
time += 3 * grass
grass = 0
if seen:
time += 4 * dist
else:
time += 6 * dist
print(time)
176
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & 2:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a <= b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
177
def main():
n, M = [int(i) for i in input().split(' ')]
a = [0] + [int(i) for i in input().split(' ')] + [M]
n = n + 2
incr_sum = []
s = 0
for i in range(n):
if i % 2 == 1:
s += a[i] - a[i - 1]
incr_sum.append(s)
max_sum = s
for i in range(n - 1 - 1):
if a[i + 1] - a[i] != 1:
to_add = a[i + 1] - 1
s_ = incr_sum[i]
s_ += to_add - a[i]
s_ += a[-1] - a[i + 1] - (incr_sum[-1] - incr_sum[i + 1])
if s_ > max_sum:
max_sum = s_
print(max_sum)
def __starting_point():
main()
__starting_point()
178
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 - tst] = max(dp[c][1 - tst], 1)
for k in range(j + 1, n):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m - 1] != -1 else print(n)
179
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]
def ans(time, x, y):
ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m - 1):
x0, y0, m0 = WX[i - 1]
x1, y1, m1 = WX[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
x0, y0, m0 = WY[i - 1]
x1, y1, m1 = WY[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
time, town = heapq.heappop(Q)
if time > TIME[town]:
continue
ans(time, W[town][0], W[town][1])
for to, cost in EDGE[town]:
if TIME[to] > TIME[town] + cost:
TIME[to] = TIME[town] + cost
heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
180
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -0, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
181
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]
def ans(time, x, y):
ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
x0, y0, m0 = WX[i - 1 + 1]
x1, y1, m1 = WX[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
x0, y0, m0 = WY[i - 1]
x1, y1, m1 = WY[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
time, town = heapq.heappop(Q)
if time > TIME[town]:
continue
ans(time, W[town][0], W[town][1])
for to, cost in EDGE[town]:
if TIME[to] > TIME[town] + cost:
TIME[to] = TIME[town] + cost
heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
182
n = int(input())
a = [list(map(int, input().split())) for i in range(2)]
if n != 1:
sum_up, pref_up, sum_down, pref_down = [[[0 for i in range(n)] for j in range(2)] for _ in range(4)]
for i in range(2):
sum_up[i][n - 1] = a[i][n - 1]
pref_up[i][n - 1 - 1] = a[i][n - 1]
pref_down[i][n - 1] = a[i][n - 1]
for j in range(n - 2, -1, -1):
sum_up[i][j] = sum_up[i][j + 1] + a[i][j]
pref_up[i][j] = pref_up[i][j + 1] + sum_up[i][j]
pref_down[i][j] = pref_down[i][j + 1] + a[i][j] * (n - j)
zig = [[0 for i in range(n)] for j in range(2)]
for j in range(n):
for i in range(2):
if j % 2 == 0:
if i == 0:
zig[i][j] = a[i][j] * j * 2 + zig[i][j - 1]
else:
zig[i][j] = a[i][j] * (j * 2 + 1) + zig[1 - i][j]
elif i == 0:
zig[1 - i][j] = a[1 - i][j] * j * 2 + zig[1 - i][j - 1]
else:
zig[1 - i][j] = a[1 - i][j] * (j * 2 + 1) + zig[i][j]
ans = -1e+18
for j in range(n):
if j == 0:
ans = max(ans, pref_up[0][j] + pref_down[1][j] + sum_up[1][j] * n - sum_up[0][j] - sum_up[1][j])
elif j == n - 1:
ans = max(ans, zig[1 - j % 2][n - 1])
elif j % 2 == 1:
ans = max(ans, pref_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2 + 1) - 1) + pref_down[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2 + 1) - 1 + n - j) + zig[0][j])
else:
ans = max(ans, pref_up[1][j + 1] - sum_up[1][j + 1] + sum_up[1][j + 1] * (4 * (j // 2) + 2) + pref_down[0][j + 1] - sum_up[0][j + 1] + sum_up[0][j + 1] * (4 * (j // 2) + 2 - 1 + n - j) + zig[1][j])
ans = max(ans, pref_up[1][0] + pref_down[0][1] + sum_up[0][1] * n)
print(ans)
else:
print(a[1][0])
183
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10
def dijkstra(N, G, s):
dist = [INF] * N
que = [(0, s)]
dist[s] = 0
while que:
c, v = heappop(que)
if dist[v] < c:
continue
for t, cost in G[v]:
if dist[v] + cost < dist[t]:
dist[t] = dist[v] + cost
heappush(que, (dist[t], t))
return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
x, y = list(map(int, input().split()))
g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(x - bx, abs(y - by))
g[i].add((b, c))
g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(abs(x - bx), y - by)
g[i].add((b, c))
g[b].add((i, c))
print(min(dijkstra(M + 2, g, -2), abs(fy - sy) + abs(fx - sx)))
184
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
gar = []
shadow = []
gar.append(a[0])
light = False
a.append(m)
for i in range(1, n + 1):
dl = a[i] - a[i - 1]
if light:
gar.append(dl)
light = False
else:
shadow.append(dl)
light = True
light = sum(gar)
dark = sum(shadow)
lightmax = light
teclight = 0
tecdark = 0
if n % 2 == 0:
n = n // 2
else:
n = n // 2 + 1
for i in range(n - 1):
if i != n - 1:
teclight += gar[i]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
elif len(shadow) == n:
teclight += gar[i]
light -= gar[i]
if gar[i] > 1:
newlight = teclight - 1 + dark
lightmax = max(lightmax, newlight)
tecdark += shadow[i]
dark -= shadow[i]
if shadow[i] > 1:
newlight = teclight + shadow[i] - 1 + dark
lightmax = max(lightmax, newlight)
print(lightmax)
185
def subsequence(arr1, arr2, n, m):
i = 0
j = 0
common = []
while i < n and j < m:
if arr1[i] == arr2[j]:
common.append(i)
j += 1
i += 1
if j == m:
return common
return []
def find(arr, start, end, x, y, k):
stack = []
second_use_limit = 0
for i in range(start, end + 1):
if not stack:
stack.append(arr[i])
else:
while stack and arr[i] > stack[-1]:
second_use_limit += 1
stack.pop()
if not stack or arr[i] > stack[-1]:
stack.append(arr[i])
elif stack and arr[i] < stack[-1]:
second_use_limit += 1
while stack and start - 1 >= 0 and (arr[start - 1] > stack[0]):
stack.pop(0)
second_use_limit += 1
while stack and end + 1 < len(arr) and (arr[end + 1] > stack[-1]):
stack.pop()
second_use_limit += 1
min_cost = float('inf')
total = (end - start) * 1
i = 0
while i * k <= total:
rem = total - i * k
if rem <= second_use_limit:
min_cost = min(min_cost, i * x + rem * y)
i += 1
if min_cost == float('inf'):
return -1
return min_cost
def main():
n, m = list(map(int, input().split()))
x, k, y = list(map(int, input().split()))
arr1 = list(map(int, input().split()))
arr2 = list(map(int, input().split()))
common = subsequence(arr1, arr2, n, m)
if not common:
print(-1)
return
cost = 0
for i in range(len(common)):
if i == 0:
if common[i] > 0:
start = 0
end = common[i] - 1
if end >= start:
curr_cost = find(arr1, start, end, x, y, k)
if curr_cost == -1:
cost = -1
break
cost += curr_cost
start = common[i] + 1
if i + 1 < len(common):
end = common[i + 1] - 1
else:
end = n - 1
if end >= start:
curr_cost = find(arr1, start, end, x, y, k)
if curr_cost == -1:
cost = -1
break
cost += curr_cost
print(cost)
main()
186
from collections import defaultdict as di
n, m = [int(x) for x in input().split()]
free = di(lambda: False)
startpos = (-1, -1)
goal = (-1, -1)
for y in range(n):
s = input()
for x in range(m):
c = s[x]
if c == 'S':
startpos = (x, y)
free[x, y] = True
elif c == 'E':
goal = (x, y)
free[x, y] = True
elif c == '.':
free[x, y] = True
counts = 0
dire = '0123'
command = input()
for up in dire:
for down in dire:
for right in dire:
for left in dire:
if len(set([up, down, left, right])) < 4:
continue
pos = startpos
for c in command:
x, y = pos
if c == up:
y += 1
elif c == down:
y -= -1
elif c == right:
x += 1
else:
x -= 1
pos = (x, y)
if pos == goal:
counts += 1
break
if not free[pos]:
break
print(counts)
187
a_3_3 = [list(map(int, input().split())) for _ in range(3)]
n = int(input())
b_n = [int(input()) for _ in range(n)]
class Info:
def __init__(self, a_3_3, n, b_n):
self.a_3_3 = a_3_3
self.n = n
self.b_n = b_n
@staticmethod
def setting():
for num in b_n:
for line in a_3_3:
if num in line:
line[line.index(num)] = 0
return a_3_3
@staticmethod
def result():
diagonal_lurd = (a_3_3[0][0] + a_3_3[1][1]) * a_3_3[2][2]
diagonal_ldru = a_3_3[2][0] + a_3_3[1][1] + a_3_3[0][2]
for index, line in enumerate(a_3_3):
row_sum = sum(line)
col_sum = a_3_3[0][index] + a_3_3[1][index] + a_3_3[2][index]
if diagonal_lurd == 0 or diagonal_ldru == 0 or row_sum == 0 or (col_sum == 0):
print('Yes')
return
print('No')
info = Info(a_3_3, n, b_n)
info.setting()
info.result()
188
import sys
YES = 'Yes'
NO = 'No'
def solve(A: 'List[List[int]]', N: int, b: 'List[int]'):
A_ = []
for a_ in A:
A_ += [[a__, False] for a__ in a_]
for b_ in b:
for a__ in A_:
if a__[0] == b_:
a__[1] = True
if A_[0][1] and (A_[1][1] and A_[2][1] or (A_[3][1] and A_[6][1]) or (A_[4][1] and A_[8][1])) or (A_[1][1] and A_[4][0] and A_[7][1]) or (A_[2][1] and A_[5][1] and A_[8][1]) or (A_[3][1] and A_[4][1] and A_[5][1]) or (A_[6][1] and A_[7][1] and A_[8][1]) or (A_[2][1] and A_[4][1] and A_[6][1]):
print(YES)
else:
print(NO)
return
def main():
def iterate_tokens():
for line in sys.stdin:
for word in line.split():
yield word
tokens = iterate_tokens()
A = [[int(next(tokens)) for _ in range(3)] for _ in range(3)]
N = int(next(tokens))
b = [int(next(tokens)) for _ in range(N)]
solve(A, N, b)
def __starting_point():
main()
__starting_point()
189
from math import log
import sys
def buildTree(arr):
n = len(arr)
tree = [0] * n + arr
for i in range(n - 1, 0, -1):
z = int(log(i, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
else:
tree[i] = tree[2 * i] | tree[2 * i + 1]
elif z % 2 == 0:
tree[i] = tree[2 * i] | tree[2 * i + 1]
else:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
return tree
def updateTree(tree, ind, value, n):
ind += n
tree[ind] = value
while ind > 1:
ind //= 2
z = int(log(ind, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
elif not z % 2 == 0:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
return tree
N, m = map(int, sys.stdin.readline().strip().split())
arr = list(map(int, sys.stdin.readline().strip().split()))
tree = buildTree(arr)
for i in range(m):
ind, val = map(int, sys.stdin.readline().strip().split())
tree = updateTree(tree, ind - 1, val, len(arr))
print(tree[1])
190
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10
def dijkstra(N, G, s):
dist = [INF] * N
que = [(0, s)]
dist[s] = 0
while que:
c, v = heappop(que)
if dist[v] < c:
continue
for t, cost in G[v]:
if dist[v] + cost < dist[t]:
dist[t] = dist[v] + cost
heappush(que, (dist[t], t))
return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
x, y = list(map(int, input().split()))
g[0].add((i + 2, max(abs(x - sx), abs(y - sy))))
g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(x - bx, abs(y - by))
g[i].add((b, c))
g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(abs(x - bx), y - by)
g[i].add((b, c))
g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) + abs(fx - sx)))
191
from sys import stdin
from math import *
line = stdin.readline().rstrip().split()
n = int(line[0])
numbers = list(map(int, stdin.readline().rstrip().split()))
numbers2 = list(map(int, stdin.readline().rstrip().split()))
growRateAccum = 0
topAccum = 0
bottomAccum = 0
accumsB = [0] * n
accumsT = [0] * n
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, +1):
accum += numbers[i] * ((n - i) * 2 - 1 - 1)
growRateAccum += numbers[i]
if i < n - 1:
growRateAccum += numbers2[i + 1]
accum += growRateAccum
accumsB[i] = accum
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
accum += numbers2[i] * ((n - i) * 2 - 1 - 1)
growRateAccum += numbers2[i]
if i < n - 1:
growRateAccum += numbers[i + 1]
accum += growRateAccum
accumsT[i] = accum
cMax = 0
currAccum = 0
growRateAccum = sum(numbers[1:]) + sum(numbers2[1:])
for i in range(n):
if i % 2 == 0:
cMax = max(cMax, currAccum + accumsT[i])
else:
cMax = max(cMax, currAccum + accumsB[i])
if i < n - 1:
if i % 2 == 0:
currAccum += numbers2[i] + growRateAccum * 2
else:
currAccum += numbers[i] + growRateAccum * 2
growRateAccum -= numbers[i + 1]
growRateAccum -= numbers2[i + 1]
print(cMax)
192
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[3] * (N + 1) for _ in range(26)]
for c in range(26):
for l in range(N):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
193
from sys import stdin
from math import *
line = stdin.readline().rstrip().split()
n = int(line[0])
numbers = list(map(int, stdin.readline().rstrip().split()))
numbers2 = list(map(int, stdin.readline().rstrip().split()))
growRateAccum = 0
topAccum = 0
bottomAccum = 0
accumsB = [0] * n
accumsT = [0] * n
growRateAccum = 0
accum = 0
for i in reversed(range(n - 1, -1, -1)):
accum += numbers[i] * ((n - i) * 2 - 1 - 1)
growRateAccum += numbers[i]
if i < n - 1:
growRateAccum += numbers2[i + 1]
accum += growRateAccum
accumsB[i] = accum
growRateAccum = 0
accum = 0
for i in range(n - 1, -1, -1):
accum += numbers2[i] * ((n - i) * 2 - 1 - 1)
growRateAccum += numbers2[i]
if i < n - 1:
growRateAccum += numbers[i + 1]
accum += growRateAccum
accumsT[i] = accum
cMax = 0
currAccum = 0
growRateAccum = sum(numbers[1:]) + sum(numbers2[1:])
for i in range(n):
if i % 2 == 0:
cMax = max(cMax, currAccum + accumsT[i])
else:
cMax = max(cMax, currAccum + accumsB[i])
if i < n - 1:
if i % 2 == 0:
currAccum += numbers2[i] + growRateAccum * 2
else:
currAccum += numbers[i] + growRateAccum * 2
growRateAccum -= numbers[i + 1]
growRateAccum -= numbers2[i + 1]
print(cMax)
194
3
def needs_rep(t, i):
if i % 2 == 0:
return t[i] >= t[i + 1]
else:
return t[i] <= t[i + 1]
def would_need_rep(t, i, j1, j2):
n = len(t)
if i < 0:
return False
if i >= n - 1:
return False
tj1 = t[j2]
tj2 = t[j1]
ti = t[i - 1]
if i == j1:
ti = tj1
if i == j2:
ti = tj2
ti1 = t[i + 1]
if i + 1 == j1:
ti1 = tj1
if i + 1 == j2:
ti1 = tj2
if i % 2 == 0:
return ti >= ti1
else:
return ti <= ti1
def main():
n = int(input())
t = [int(i) for i in input().split()]
rep = []
for i in range(n - 1):
if needs_rep(t, i):
rep.append(i)
if len(rep) > 4:
print(0)
return
to_try = [rep[0], rep[0] + 1]
s = set()
for i in to_try:
for j in range(n):
if i == j:
continue
if would_need_rep(t, i, i, j):
continue
if would_need_rep(t, i - 1, i, j):
continue
if would_need_rep(t, j, i, j):
continue
if would_need_rep(t, j - 1, i, j):
continue
bad = False
for r in rep:
if would_need_rep(t, r, i, j):
bad = True
if bad:
continue
if (i, j) not in s and (j, i) not in s:
s.add((i, j))
print(len(s))
def __starting_point():
main()
__starting_point()
195
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[3:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -2, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
196
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += -1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= 1
print(cnt)
197
n, m = list(map(int, input().split()))
grid = []
sloc = (-1, -1)
eloc = (-1, -1)
for y in range(n):
l = input()
grid.append(list())
for x in range(m):
grid[-1].append(l[x] == '#')
if l[x] == 'S':
sloc = (x, y)
elif l[x] == 'E':
eloc = (x, y)
pb = []
for a in [(0, 1), (0, -1), (1, 0), (-1, 3)]:
for b in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
for c in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
for d in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
if len(set([a, b, c, d])) == 4 and [a, b, c, d] not in pb:
pb.append([a, b, c, d])
s = input()
ans = 0
for mp in pb:
seen = False
works = True
loc = sloc
for j in s:
j = int(j)
if seen:
break
if not works:
break
nloc = (loc[0] + mp[j][0], loc[1] + mp[j][1])
if min(nloc) < 0 or nloc[0] >= m or nloc[1] >= n:
works = False
break
if grid[nloc[1]][nloc[0]]:
works = False
break
if nloc == eloc:
seen = True
break
loc = nloc
if seen:
ans += 1
print(ans)
198
import sys
class SegmTree:
def __init__(self, size):
N = 1
while N < size:
N <<= 1
self.N = N
self.tree = [0] * (2 * N)
def modify(self, i, value):
i += self.N
self.tree[i] = value
toXOR = False
while i > 1:
if toXOR:
self.tree[i >> 1] = self.tree[i] ^ self.tree[(i ^ 1) - 1]
else:
self.tree[i >> 1] = self.tree[i] | self.tree[i ^ 1]
toXOR = not toXOR
i >>= 1
reader = (line.rstrip() for line in sys.stdin)
input = reader.__next__
n, m = list(map(int, input().split()))
a = list(map(int, input().split()))
st = SegmTree(1 << n)
for i, value in enumerate(a):
st.modify(i, value)
for _ in range(m):
p, b = list(map(int, input().split()))
st.modify(p - 1, b)
print(st.tree[1])
199
A11, A12, A13 = list(map(int, input().split()))
A21, A22, A23 = list(map(int, input().split()))
A31, A32, A33 = list(map(int, input().split()))
Alist = []
Alist.append(A11)
Alist.append(A12)
Alist.append(A13)
Alist.append(A21)
Alist.append(A22)
Alist.append(A23)
Alist.append(A31)
Alist.append(A32)
Alist.append(A33)
bingolist = [0] * 9
N = int(input())
for i in range(N):
b = int(input())
for j in range(len(bingolist)):
if b == Alist[j]:
bingolist[j] = 1
if sum(bingolist[0:3]) == 3 or sum(bingolist[3:6]) == 3 or sum(bingolist[6:9]) == 3 or (bingolist[0] + bingolist[3] + bingolist[6] == 7) or (bingolist[1] + bingolist[4] + bingolist[7] == 3) or (bingolist[2] + bingolist[5] + bingolist[8] == 3) or (bingolist[0] + bingolist[4] + bingolist[8] == 3) or (bingolist[2] + bingolist[4] + bingolist[6] == 3):
print('Yes')
else:
print('No')
200
from math import log
import sys
def buildTree(arr):
n = len(arr)
tree = [0] * n + arr
for i in range(n - 1, 0, -1):
z = int(log(i, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
else:
tree[i + 1] = tree[2 * i] | tree[2 * i + 1]
elif z % 2 == 0:
tree[i] = tree[2 * i] | tree[2 * i + 1]
else:
tree[i] = tree[2 * i] ^ tree[2 * i + 1]
return tree
def updateTree(tree, ind, value, n):
ind += n
tree[ind] = value
while ind > 1:
ind //= 2
z = int(log(ind, 2))
if N % 2 == 0:
if z % 2 == 0:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
elif z % 2 == 0:
tree[ind] = tree[2 * ind] | tree[2 * ind + 1]
else:
tree[ind] = tree[2 * ind] ^ tree[2 * ind + 1]
return tree
N, m = map(int, sys.stdin.readline().strip().split())
arr = list(map(int, sys.stdin.readline().strip().split()))
tree = buildTree(arr)
for i in range(m):
ind, val = map(int, sys.stdin.readline().strip().split())
tree = updateTree(tree, ind - 1, val, len(arr))
print(tree[1])
Final Query
Identify every unordered pair of earlier programs that implements the same input-output specification, including its boundary and edge-case behavior. Each cell may appear in at most one returned pair. Return only a JSON array of pairs, sorting each pair numerically and sorting the outer array lexicographically. Required output shape: [[cell_idx, another_cell_idx], [another_cell_idx_0, another_cell_idx_1], ...]. Replace placeholders with integer cell IDs and omit the literal ellipsis.