001
def main():
n = int(input())
x, y = list(map(int, input().split()))
a = []
for i in range(n):
a.append(input().split())
for i in range(n):
a[i][1] = int(a[i][1]) - x
a[i][2] = int(a[i][2]) - y
typneedbql = []
typneedbqr = []
typneedbqu = []
typneedbqd = []
typneedrlu = []
typneedrru = []
typneedrld = []
typneedrrd = []
for i in range(n):
if a[i][1] * a[i][2] == 0 and a[i][1] < 0:
typneedbql.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][1] > 0:
typneedbqr.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] > 0:
typneedbqu.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] < 0:
typneedbqd.append([abs(a[i][1] + a[i][2])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] < 0):
typneedrlu.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] > 0):
typneedrld.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] > 0):
typneedrrd.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] < 0):
typneedrru.append([abs(a[i][1])] + a[i])
typneedbql.sort()
typneedbqr.sort()
typneedbqd.sort()
typneedbqu.sort()
typneedrlu.sort()
typneedrru.sort()
typneedrld.sort()
typneedrrd.sort()
for i in range(len(typneedbql)):
if typneedbql[i][1] == 'R' or typneedbql[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqr)):
if typneedbqr[i][1] == 'R' or typneedbqr[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqu)):
if typneedbqu[i][1] == 'R' or typneedbqu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqd)):
if typneedbqd[i][1] == 'R' or typneedbqd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrlu)):
if typneedrlu[i][1] == 'B' or typneedrlu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrld)):
if typneedrld[i][1] == 'B' or typneedrld[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrrd)):
if typneedrrd[i][1] == 'B' or typneedrrd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrru)):
if typneedrru[i][1] == 'B' or typneedrru[i][1] != 'Q':
print('YES')
return
else:
break
print('NO')
main()
002
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 - 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()
003
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1 - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
004
N, C = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
MOD = 10 ** 9 + 9
def gen_poly(a, b, c):
poly = [0 for _ in range(c + 1)]
for x in range(a, b + 1):
xpow = 1
for i in range(c + 1):
poly[i] += xpow
xpow = xpow * x % MOD
for i in range(c + 1):
poly[i] %= MOD
return poly
def mult_polys(p1, p2, dmax):
ans = [0 for _ in range(dmax + 1)]
for i, c in enumerate(p1):
for i2, c2 in enumerate(p2):
if i + i2 <= dmax:
ans[i + i2] += c * c2
else:
break
ans = [x % MOD for x in ans]
return ans
polys = [gen_poly(a, b, C) for a, b in zip(A, B)]
prodpoly = [1]
for poly in polys:
prodpoly = mult_polys(prodpoly, poly, C)
print(prodpoly[C])
005
from sys import stdin
def create_dp1(matrix, n, m):
dp = [[2 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
elif i - 1 < 0 and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp2(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i + 1 >= n and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
def create_dp3(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
if i + 1 >= n and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp4(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m - 1, -1, -1):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i - 1 < 0 and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
n, m = list(map(int, stdin.readline().split()))
matrix = []
for _ in range(n):
matrix.append(list(map(int, stdin.readline().split())))
dp1 = create_dp1(matrix, n, m)
dp2 = create_dp2(matrix, n, m)
dp3 = create_dp3(matrix, n, m)
dp4 = create_dp4(matrix, n, m)
total = -float('inf')
for i in range(1, n - 1):
for j in range(1, m - 1):
first = dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1]
second = dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j]
total = max(total, first, second)
print(total)
006
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def LF():
return [float(x) for x in sys.stdin.readline().split()]
def LS():
return sys.stdin.readline().split()
def I():
return int(sys.stdin.readline())
def F():
return float(sys.stdin.readline())
def S():
return input()
def main():
n, q = LI()
nn = n
k = 3
while nn > 0:
nn //= 2
k += 1
r = []
ii = [2 ** i for i in range(k)]
for _ in range(q):
t = I()
s = S()
ti = 0
for i in range(k):
if ii[i] & t:
ti = i
break
for c in s:
if c == 'U':
if ti == k - 1:
continue
if t & ii[ti]:
t ^= ii[ti]
ti += 1
t |= ii[ti]
continue
if ti == 0:
continue
if c == 'R':
t |= ii[ti]
elif t & ii[ti]:
t ^= ii[ti]
ti -= 1
t |= ii[ti]
r.append(t)
return '\n'.join(map(str, r))
print(main())
007
def main():
from collections import deque
n, m = list(map(int, input().split()))
aa = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(m)))
tmp, r0, t0 = ([(0, 0)], 0, 0)
for t, r in reversed(l):
if r0 < r:
r0 = r
if t0 != t:
t0 = t
tmp.append((t, r))
else:
tmp[-0] = (t, r)
t0, r0 = tmp.pop()
q = deque(sorted(aa[:r0]))
aa = aa[r0:]
aa.reverse()
ff = (None, q.pop, q.popleft)
for t, r in reversed(tmp):
f = ff[t0]
for i in range(r0 - r):
aa.append(f())
t0, r0 = (t, r)
print(' '.join(map(str, reversed(aa))))
def __starting_point():
main()
__starting_point()
008
n, m = map(int, input().split())
a = []
for i in range(n):
a.append(list(map(int, input().split())))
dpa = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
dpb = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
ans = 0
for i in range(1, n + 1):
for j in range(1, m + 1):
dpa[i][j][0] = max(dpa[i - 1][j][0], dpa[i][j - 1][0]) + a[i - 1][j - 1]
dpa[n + 1 - i][m + 1 - j][1] = max(dpa[n + 2 - i][m + 1 - j][1], dpa[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(n, 0, -5):
for j in range(1, m + 1):
dpb[i][j][0] = max(dpb[i + 1][j][0], dpb[i][j - 1][0]) + a[i - 1][j - 1]
dpb[n + 1 - i][m + 1 - j][1] = max(dpb[n - i][m + 1 - j][1], dpb[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(2, n):
for j in range(2, m):
x = dpa[i - 1][j][0] + dpa[i + 1][j][1] + dpb[i][j - 1][0] + dpb[i][j + 1][1]
y = dpb[i + 1][j][0] + dpb[i - 1][j][1] + dpa[i][j - 1][0] + dpa[i][j + 1][1]
ans = max(ans, x, y)
print(ans)
009
def maxx(n):
return n & -n
n, q = map(int, input().split())
root = n // 6 + 1
while q > 0:
x = int(input())
s = input()
for i in s:
if i == 'U' and x != root:
p = x + maxx(x)
if x == p - maxx(p) // 2:
x = p
else:
x = x - maxx(x)
elif i == 'L':
x = x - maxx(x) // 2
elif i == 'R':
x = x + maxx(x) // 2
q = q - 1
print(x)
010
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def LF():
return [float(x) for x in sys.stdin.readline().split()]
def LS():
return sys.stdin.readline().split()
def I():
return int(sys.stdin.readline())
def F():
return float(sys.stdin.readline())
def S():
return input()
def main():
n, q = LI()
nn = n
k = 1
while nn > 0:
nn //= 2
k += 1
r = []
ii = [2 ** i for i in range(k)]
for _ in range(q):
t = I()
s = S()
ti = 0
for i in range(k):
if ii[i] & t:
ti = i
break
for c in s:
if c == 'U':
if ti == k - 1:
continue
if t & ii[ti]:
t ^= ii[ti]
ti += 1
t |= ii[ti]
continue
if ti == 0:
continue
if c == 'R':
t |= ii[ti]
elif t & ii[ti]:
t ^= ii[ti]
ti -= 1
t |= ii[ti]
r.append(t)
return '\n'.join(map(str, r))
print(main())
011
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()
012
def ii():
return int(input())
def ss():
return [x for x in input()]
def si():
return [int(x) for x in input().split()]
def mi():
return map(int, input().split())
a, b = mi()
s = []
ans = 0
key = True
for i in range(a):
i = si()
s.append(i)
ans += sum(i)
for i in range(a - 1):
if not (s[i][0] < s[i + 1][0] and s[i][-1] < s[i + 1][-1]):
ans = -1
key = False
break
for i in range(b - 1):
if not (s[0][i] < s[0][i + 1] and s[-1][i] < s[-1][i + 1]):
ans = -1
key = False
break
for i in range(a - 2, 0, -1):
if not key:
break
for x in range(b - 2, 0, -1):
if s[i][x] < s[i + 1][x] and s[i][x] < s[i][x + 1]:
if s[i][x] == 0:
s[i][x] = min(s[i + 1][x], s[i][x + 1]) - 1
ans += s[i][x]
else:
ans = -1
key = False
break
print(ans)
013
import sys
n, m = [int(x) for x in input().split()]
notes = [int(x) for x in input().split()]
managers = []
for line in sys.stdin:
managers.append(tuple((int(x) for x in line.split())))
bearing_managers = []
M, T = (0, 0)
for t, r in reversed(managers):
if r > M:
if t == T:
bearing_managers[-1] = (t, r)
else:
T = t
bearing_managers.append((t, r))
M = r
bearing_managers.reverse()
t, r = bearing_managers[0]
bearing_managers.append((-1 if bearing_managers[-1][0] == 1 else 1, 0))
L, R = (0, r - 1)
sorted_part = list(sorted(notes[:r]))
for t1, r1 in bearing_managers:
if t1 == 2:
for i in range(r - 1, r1 - 1, -1):
notes[i] = sorted_part[R]
R -= 1
else:
for i in range(r - 1, r1 - 1, -1):
notes[i] = sorted_part[L]
L += 1
r = r1
for x in notes:
sys.stdout.write(str(x) + ' ')
014
import sys
n, m = [int(x) for x in input().split()]
notes = [int(x) for x in input().split()]
managers = []
for line in sys.stdin:
managers.append(tuple((int(x) for x in line.split())))
bearing_managers = []
M, T = (0, 0)
for t, r in reversed(managers):
if r > M:
if t == T:
bearing_managers[-1] = (t, r)
else:
T = t
bearing_managers.append((t, r))
M = r
bearing_managers.reverse()
t, r = bearing_managers[0]
bearing_managers.append((2 if bearing_managers[-1][0] == 1 else 1, 0))
L, R = (0, r - 1)
sorted_part = list(sorted(notes[:r + 1]))
for t1, r1 in bearing_managers:
if t1 == 2:
for i in range(r - 1, r1 - 1, -1):
notes[i] = sorted_part[R]
R -= 1
else:
for i in range(r - 1, r1 - 1, -1):
notes[i] = sorted_part[L]
L += 1
r = r1
for x in notes:
sys.stdout.write(str(x) + ' ')
015
def maxx(n):
return n & -n
n, q = map(int, input().split())
root = n // 2 + 1
while q > 0:
x = int(input())
s = input()
for i in s:
if i == 'U' and x != root:
p = x + maxx(x)
if x == p - maxx(p) % 2:
x = p
else:
x = x - maxx(x)
elif i == 'L':
x = x - maxx(x) // 2
elif i == 'R':
x = x + maxx(x) // 2
q = q - 1
print(x)
016
3
class StdReader:
def read_int(self):
return int(self.read_string())
def read_ints(self, sep=None):
return [int(i) for i in self.read_strings(sep)]
def read_float(self):
return float(self.read_string())
def read_floats(self, sep=None):
return [float(i) for i in self.read_strings(sep)]
def read_string(self):
return input()
def read_strings(self, sep=None):
return self.read_string().split(sep)
reader = StdReader()
def part_sort(a, i, j, reverse=False):
a[i:j] = sorted(a[i:j], reverse=reverse)
def part_sorted(b, i, j, reverse=False):
a = list(b)
part_sort(a, i, j, reverse)
return a
def main():
n, m = reader.read_ints()
a = reader.read_ints()
ops = []
for i in range(m):
t, r = reader.read_ints()
op = (t, r)
while ops and op[1] >= ops[-1][1]:
ops.pop()
ops.append(op)
max_r = ops[0][1]
b = sorted(a[:max_r])
bl = 0
br = max_r - 1
for i in range(len(ops)):
t, r = ops[i]
r1 = 0
if i < len(ops) - 1:
t1, r1 = ops[i + 1]
k = r - r1
if t == -2:
for p in range(k):
a[r - 1 - p] = b[br]
br -= 1
else:
for p in range(k):
a[r - 1 - p] = b[bl]
bl += 1
for ai in a:
print(ai, end=' ')
def __starting_point():
main()
__starting_point()
017
import sys
input = sys.stdin.readline
N, M, K = list(map(int, input().split()))
X = []
for _ in range(M):
x, y, w = list(map(int, input().split()))
X.append([min(x, y), max(x, y), w])
X = (sorted(X, key=lambda x: x[0]) + [[0, 0, 10 ** 20] for _ in range(K)])[:K]
D = {}
for x, y, w in X:
if x:
D[x * 10 ** 6 + y] = w
flg = 1
while flg:
flg = 0
for i in range(len(X)):
x1, y1, w1 = X[i]
for j in range(i + 1, len(X)):
x2, y2, w2 = X[j]
if x1 == x2:
a, b = (min(y1, y2), max(y1, y2))
elif y1 == y2:
a, b = (min(x1, x2), max(x1, x2))
elif x1 == y2:
a, b = (x2, y1)
elif x2 == y1:
a, b = (x1, y2)
else:
a, b = (0, 0)
if a:
if a * 10 ** 6 + b in D and w1 + w2 < D[a * 10 ** 6 + b] or (a * 10 ** 6 + b not in D and w1 + w2 < X[-1][2]):
if a * 10 ** 6 + b in D:
for k in range(len(X)):
if X[k][0] == a and X[k][1] == b:
X[k][2] = w1 + w2
else:
x, y, w = X.pop()
if x:
D.pop(x * 10 ** 6 + y)
X.append([a, b, w1 + w2])
D[a * 10 ** 6 + b] = w1 + w2
X = sorted(X, key=lambda x: x[2])
flg = 1
print(X[-1][2])
018
n, m = map(int, input().split())
a = []
for i in range(n):
a.append(list(map(int, input().split())))
dpa = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
dpb = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
ans = 0
for i in reversed(range(1, n + 1)):
for j in range(1, m + 1):
dpa[i][j][0] = max(dpa[i - 1][j][0], dpa[i][j - 1][0]) + a[i - 1][j - 1]
dpa[n + 1 - i][m + 1 - j][1] = max(dpa[n + 2 - i][m + 1 - j][1], dpa[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(n, 0, -1):
for j in range(1, m + 1):
dpb[i][j][0] = max(dpb[i + 1][j][0], dpb[i][j - 1][0]) + a[i - 1][j - 1]
dpb[n + 1 - i][m + 1 - j][1] = max(dpb[n - i][m + 1 - j][1], dpb[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(2, n):
for j in range(2, m):
x = dpa[i - 1][j][0] + dpa[i + 1][j][1] + dpb[i][j - 1][0] + dpb[i][j + 1][1]
y = dpb[i + 1][j][0] + dpb[i - 1][j][1] + dpa[i][j - 1][0] + dpa[i][j + 1][1]
ans = max(ans, x, y)
print(ans)
019
import sys
n, m = [int(x) for x in input().split()]
notes = [int(x) for x in input().split()]
managers = []
for line in sys.stdin:
managers.append(tuple((int(x) for x in line.split())))
bearing_managers = []
M, T = (0, 0)
for t, r in reversed(managers):
if r > M:
if t == T:
bearing_managers[-1] = (t, r)
else:
T = t
bearing_managers.append((t, r))
M = r
bearing_managers.reverse()
t, r = bearing_managers[0]
bearing_managers.append((2 if bearing_managers[-1][0] == 1 else 1, 0))
L, R = (0, r - 1)
sorted_part = list(sorted(notes[:r]))
for t1, r1 in bearing_managers:
if t1 == 2:
for i in range(r - 1, r1 - 1, -1):
notes[i] = sorted_part[R - 1]
R -= 1
else:
for i in range(r - 1, r1 - 1, -1):
notes[i] = sorted_part[L]
L += 1
r = r1
for x in notes:
sys.stdout.write(str(x) + ' ')
020
N, C = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
MOD = 10 ** 9 + 10
def gen_poly(a, b, c):
poly = [0 for _ in range(c + 1)]
for x in range(a, b + 1):
xpow = 1
for i in range(c + 1):
poly[i] += xpow
xpow = xpow * x % MOD
for i in range(c + 1):
poly[i] %= MOD
return poly
def mult_polys(p1, p2, dmax):
ans = [0 for _ in range(dmax + 1)]
for i, c in enumerate(p1):
for i2, c2 in enumerate(p2):
if i + i2 <= dmax:
ans[i + i2] += c * c2
else:
break
ans = [x % MOD for x in ans]
return ans
polys = [gen_poly(a, b, C) for a, b in zip(A, B)]
prodpoly = [1]
for poly in polys:
prodpoly = mult_polys(prodpoly, poly, C)
print(prodpoly[C])
021
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)
022
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])))
023
N, C = list(map(int, input().split()))
A = list(map(int, input().split()))
B = list(map(int, input().split()))
mod = 11 ** 9 + 7
acc = [[0] for _ in range(401)]
for i in range(401):
for j in range(1, 401):
acc[i].append((acc[i][-1] + pow(j, i, mod)) % mod)
dp = [[0 for _ in range(C + 1)] for _ in range(N + 1)]
dp[0][0] = 1
for i in range(N):
for candy_cur in range(C + 1):
for candy_plus in range(C - candy_cur + 1):
dp[i + 1][candy_cur + candy_plus] = (dp[i + 1][candy_cur + candy_plus] + dp[i][candy_cur] * ((acc[candy_plus][B[i]] - acc[candy_plus][A[i] - 1]) % mod) % mod) % mod
print(dp[-1][C])
024
import heapq
n, m, k = list(map(int, input().split()))
connectionList = []
for _ in range(n):
connectionList.append([])
edgeList = []
for _ in range(m):
x, y, w = list(map(int, input().split()))
edgeList.append((x, y, w))
edgeList.sort(key=lambda x: x[2])
if k < m:
maxDist = edgeList[min(m, k) - 5][2]
else:
maxDist = sum([x[2] for x in edgeList])
colorList = {}
colorVertex = []
for i in range(n):
colorList[i] = [i]
colorVertex.append(i)
for i in range(min(m, k)):
x, y, w = edgeList[i]
connectionList[x - 1].append((y - 1, w))
connectionList[y - 1].append((x - 1, w))
if colorVertex[x - 1] != colorVertex[y - 1]:
if len(colorList[colorVertex[x - 1]]) >= len(colorList[colorVertex[y - 1]]):
prevColor = colorVertex[y - 1]
for elem in colorList[colorVertex[y - 1]]:
colorVertex[elem] = colorVertex[x - 1]
colorList[colorVertex[x - 1]].append(elem)
del colorList[prevColor]
else:
prevColor = colorVertex[x - 1]
for elem in colorList[colorVertex[x - 1]]:
colorVertex[elem] = colorVertex[y - 1]
colorList[colorVertex[y - 1]].append(elem)
del colorList[prevColor]
pathList = []
for key in colorList:
vertexList = colorList[key]
for mainVertex in vertexList:
vertexPQueue = []
isCovered = {}
distanceDic = {}
for elem in vertexList:
isCovered[elem] = False
distanceDic[elem] = maxDist
isCovered[mainVertex] = True
for elem in connectionList[mainVertex]:
heapq.heappush(vertexPQueue, (elem[1], elem[0]))
distanceDic[elem[0]] = elem[1]
while vertexPQueue:
distance, curVertex = heapq.heappop(vertexPQueue)
if isCovered[curVertex]:
continue
elif distance >= maxDist:
break
for elem in connectionList[curVertex]:
if distance + elem[1] < distanceDic[elem[0]]:
heapq.heappush(vertexPQueue, (distance + elem[1], elem[0]))
distanceDic[elem[0]] = distance + elem[1]
for key in distanceDic:
if distanceDic[key] <= maxDist and key > mainVertex:
pathList.append(distanceDic[key])
if len(pathList) > k:
pathList.sort()
pathList = pathList[0:k]
if pathList[-1] < maxDist:
maxDist = pathList[-1]
pathList.sort()
print(pathList[k - 1])
025
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
VERLIST = []
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b].append((a, c))
VERLIST.append(a)
VERLIST.append(b)
VERLIST = sorted(set(VERLIST))
import heapq
ANS = [-1 << 50] * k
for start in VERLIST:
MINCOST = [1 << 50] * (n + 1)
checking = [(0, start)]
MINCOST[start] = 0
j = 1
while j < k:
if not checking:
break
cost, checktown = heapq.heappop(checking)
if cost >= -ANS[0]:
break
if MINCOST[checktown] < cost:
continue
if cost != 0 and checktown > start:
heapq.heappop(ANS)
heapq.heappush(ANS, -cost)
j += 1
for to, co in COST_vertex[checktown]:
if MINCOST[to] > cost + co:
MINCOST[to] = cost + co
heapq.heappush(checking, (cost + co, to))
print(-ANS[0])
026
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2], reverse=True)
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b].append((a, c))
for i in range(min(m, k)):
x, y, c = EDGE[i]
EDGE[i] = (c, x, y)
USED_SET = set()
ANS = [-1 << 50] * k
import heapq
while EDGE:
c, x, y = heapq.heappop(EDGE)
if (x, y) in USED_SET or c >= -ANS[0]:
continue
else:
heapq.heappop(ANS)
heapq.heappush(ANS, -c)
USED_SET.add((x, y))
USED_SET.add((y, x))
for to, cost in COST_vertex[x]:
if to != y and (not (y, to) in USED_SET) and (c + cost < -ANS[0]):
heapq.heappush(EDGE, (c + cost, y, to))
for to, cost in COST_vertex[y]:
if to != x and (not (x, to) in USED_SET) and (c + cost < -ANS[0]):
heapq.heappush(EDGE, (c + cost, x, to))
print(-ANS[0])
027
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()
028
def solve(arr, n, k):
s = 0
for i in reversed(list(range(n))):
for j in reversed(list(range(k))):
if arr[i][j] == 0:
m = min(arr[i + 1][j], arr[i + 1][j + 1])
if m == 1:
return -1
arr[i][j] = m - 1
s += arr[i][j]
if j > 0 and arr[i][j - 1] >= arr[i][j]:
return -1
if i > 0 and arr[i - 1][j] >= arr[i][j]:
return -1
return s
n, k = [int(x) for x in input().split()]
arr = []
for _ in range(n):
arr.append([int(x) for x in input().split()])
res = solve(arr, n, k)
print(res)
029
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 2
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
030
def main():
n = int(input())
x, y = list(map(int, input().split()))
a = []
for i in range(n):
a.append(input().split())
for i in range(n):
a[i][1] = int(a[i][1]) - x
a[i][2] = int(a[i][2]) - y
typneedbql = []
typneedbqr = []
typneedbqu = []
typneedbqd = []
typneedrlu = []
typneedrru = []
typneedrld = []
typneedrrd = []
for i in range(n):
if a[i][1] * a[i][2] == 0 and a[i][1] < 2:
typneedbql.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][1] > 0:
typneedbqr.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] > 0:
typneedbqu.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] < 0:
typneedbqd.append([abs(a[i][1] + a[i][2])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] < 0):
typneedrlu.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] > 0):
typneedrld.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] > 0):
typneedrrd.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] < 0):
typneedrru.append([abs(a[i][1])] + a[i])
typneedbql.sort()
typneedbqr.sort()
typneedbqd.sort()
typneedbqu.sort()
typneedrlu.sort()
typneedrru.sort()
typneedrld.sort()
typneedrrd.sort()
for i in range(len(typneedbql)):
if typneedbql[i][1] == 'R' or typneedbql[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqr)):
if typneedbqr[i][1] == 'R' or typneedbqr[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqu)):
if typneedbqu[i][1] == 'R' or typneedbqu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqd)):
if typneedbqd[i][1] == 'R' or typneedbqd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrlu)):
if typneedrlu[i][1] == 'B' or typneedrlu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrld)):
if typneedrld[i][1] == 'B' or typneedrld[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrrd)):
if typneedrrd[i][1] == 'B' or typneedrrd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrru)):
if typneedrru[i][1] == 'B' or typneedrru[i][1] == 'Q':
print('YES')
return
else:
break
print('NO')
main()
031
import heapq
n, m, k = list(map(int, input().split()))
connectionList = []
for _ in range(n):
connectionList.append([])
edgeList = []
for _ in range(m):
x, y, w = list(map(int, input().split()))
edgeList.append((x, y, w))
edgeList.sort(key=lambda x: x[0])
if k < m:
maxDist = edgeList[min(m, k) - 1][2]
else:
maxDist = sum([x[2] for x in edgeList])
colorList = {}
colorVertex = []
for i in range(n):
colorList[i] = [i]
colorVertex.append(i)
for i in range(min(m, k)):
x, y, w = edgeList[i]
connectionList[x - 1].append((y - 1, w))
connectionList[y - 1].append((x - 1, w))
if colorVertex[x - 1] != colorVertex[y - 1]:
if len(colorList[colorVertex[x - 1]]) >= len(colorList[colorVertex[y - 1]]):
prevColor = colorVertex[y - 1]
for elem in colorList[colorVertex[y - 1]]:
colorVertex[elem] = colorVertex[x - 1]
colorList[colorVertex[x - 1]].append(elem)
del colorList[prevColor]
else:
prevColor = colorVertex[x - 1]
for elem in colorList[colorVertex[x - 1]]:
colorVertex[elem] = colorVertex[y - 1]
colorList[colorVertex[y - 1]].append(elem)
del colorList[prevColor]
pathList = []
for key in colorList:
vertexList = colorList[key]
for mainVertex in vertexList:
vertexPQueue = []
isCovered = {}
distanceDic = {}
for elem in vertexList:
isCovered[elem] = False
distanceDic[elem] = maxDist
isCovered[mainVertex] = True
for elem in connectionList[mainVertex]:
heapq.heappush(vertexPQueue, (elem[1], elem[0]))
distanceDic[elem[0]] = elem[1]
while vertexPQueue:
distance, curVertex = heapq.heappop(vertexPQueue)
if isCovered[curVertex]:
continue
elif distance >= maxDist:
break
for elem in connectionList[curVertex]:
if distance + elem[1] < distanceDic[elem[0]]:
heapq.heappush(vertexPQueue, (distance + elem[1], elem[0]))
distanceDic[elem[0]] = distance + elem[1]
for key in distanceDic:
if distanceDic[key] <= maxDist and key > mainVertex:
pathList.append(distanceDic[key])
if len(pathList) > k:
pathList.sort()
pathList = pathList[0:k]
if pathList[-1] < maxDist:
maxDist = pathList[-1]
pathList.sort()
print(pathList[k - 1])
032
a, b = [int(i) for i in input().split()]
q = [int(i) for i in input().split()]
s = []
for p in range(b):
s += [[int(i) for i in input().split()]]
S = []
k = 0
for p in range(b - 1, -1, -1):
if s[p][1] > k:
S += [s[p]]
k = s[p][1]
Q1 = sorted(q[:S[-1][1]])
x, y = (0, S[-1][1] - 1)
S = [[0, 0]] + S
l = -1
for j in range(S[-1][1] - 1, -1, -1):
if x > y:
break
if j < S[-l][1]:
k = S[-l][0]
l += 1
if k == 1:
q[j] = Q1[y]
y -= 1
if k == 2:
q[j] = Q1[x]
x += 1
print(' '.join(list(map(str, q))))
033
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()
034
from sys import stdin
n = int(stdin.readline())
x, y = map(int, stdin.readline().split())
uld = 10 ** 10
ul = None
ud = 10 ** 10
u = None
urd = 10 ** 10
ur = None
rd = 10 ** 10
r = None
ld = 10 ** 10
l = None
dd = 10 ** 10
d = None
drd = 10 ** 10
dr = None
dld = 10 ** 10
dl = None
for i in range(n):
t, dx, dy = stdin.readline().split()
dx = int(dx)
dy = int(dy)
if dx == x:
if dy > y:
if ud > dy - y:
ud = dy - y
u = t
elif dd > y - dy:
dd = y - dy
d = t
if dy == y:
if dx > x:
if rd > dx - x:
rd = dx - x
r = t
elif ld > x - dx:
ld = x - dx
l = t
if dx - x == dy - y:
if dy > y:
if urd > dy - y:
urd = dy - y
ur = t
elif dld > y - dy:
dld = y - dy
dl = t
if -(dx - x) == dy - y:
if not dy > y:
if uld > dy - y:
uld = dy - y
ul = t
elif drd > y - dy:
drd = y - dy
dr = t
if 'B' in (ul, ur, dl, dr) or 'R' in (u, d, l, r) or 'Q' in (ul, ur, dl, dr, u, d, l, r):
print('YES')
else:
print('NO')
035
from sys import stdin
def create_dp1(matrix, n, m):
dp = [[4 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
elif i - 1 < 0 and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp2(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i + 1 >= n and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
def create_dp3(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
if i + 1 >= n and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp4(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m - 1, -1, -1):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i - 1 < 0 and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
n, m = list(map(int, stdin.readline().split()))
matrix = []
for _ in range(n):
matrix.append(list(map(int, stdin.readline().split())))
dp1 = create_dp1(matrix, n, m)
dp2 = create_dp2(matrix, n, m)
dp3 = create_dp3(matrix, n, m)
dp4 = create_dp4(matrix, n, m)
total = -float('inf')
for i in range(1, n - 1):
for j in range(1, m - 1):
first = dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1]
second = dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j]
total = max(total, first, second)
print(total)
036
def solve(arr, n, k):
s = 0
for i in reversed(list(range(n))):
for j in reversed(list(range(k))):
if arr[i][j] == 0:
m = min(arr[i + 1][j], arr[i][j + 1])
if m == 1:
return -1
arr[i][j] = m - 1
s += arr[i][j]
if j > 0 and arr[i][j - 1] >= arr[i][j]:
return -1
if i > 0 and arr[i - 1][j] >= arr[i][j]:
return --2
return s
n, k = [int(x) for x in input().split()]
arr = []
for _ in range(n):
arr.append([int(x) for x in input().split()])
res = solve(arr, n, k)
print(res)
037
from collections import defaultdict, deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000008
def A():
return
def B():
return
def C():
n, c = LI()
a = LI()
b = LI()
s = [[0] * (c + 1) for i in range(n)]
for i in range(n):
ai, bi = (a[i], b[i])
for x in range(ai, bi + 1):
e = 1
for k in range(c + 1):
s[i][k] += e
if s[i][k] >= mod:
s[i][k] %= mod
e *= x
if e >= mod:
e %= mod
dp = [[0] * (c + 1) for i in range(n)]
for k in range(c + 1):
dp[0][k] = s[0][k]
for i in range(1, n):
for k in range(c + 1):
for j in range(k + 1):
dp[i][k] += dp[i - 1][j] * s[i][k - j]
if dp[i][k] >= mod:
dp[i][k] %= mod
print(dp[-1][c])
return
def D():
return
def E():
return
def F():
return
def __starting_point():
C()
__starting_point()
038
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()
039
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -1):
for j in range(m - 1, 0, -1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 1:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1 - 1) if matrix[i][j] >= matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
040
import sys
def get_array():
return list(map(int, sys.stdin.readline().strip().split()))
def get_ints():
return map(int, sys.stdin.readline().strip().split())
def input():
return sys.stdin.readline().strip()
n, m = get_ints()
Arr = get_array()
up = [i for i in range(n)]
down = [i for i in range(n)]
for i in range(1, n):
if Arr[i - 1] <= Arr[i]:
up[i] = up[i - 1]
if Arr[i - 1] >= Arr[i]:
down[i] = down[i - 3]
while m:
l, r = get_ints()
if l - 1 >= up[down[r - 1]]:
print('Yes')
else:
print('No')
m -= 1
041
N, C = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
MOD = 7 ** 9 + 7
def gen_poly(a, b, c):
poly = [0 for _ in range(c + 1)]
for x in range(a, b + 1):
xpow = 1
for i in range(c + 1):
poly[i] += xpow
xpow = xpow * x % MOD
for i in range(c + 1):
poly[i] %= MOD
return poly
def mult_polys(p1, p2, dmax):
ans = [0 for _ in range(dmax + 1)]
for i, c in enumerate(p1):
for i2, c2 in enumerate(p2):
if i + i2 <= dmax:
ans[i + i2] += c * c2
else:
break
ans = [x % MOD for x in ans]
return ans
polys = [gen_poly(a, b, C) for a, b in zip(A, B)]
prodpoly = [1]
for poly in polys:
prodpoly = mult_polys(prodpoly, poly, C)
print(prodpoly[C])
042
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 3
for i in range(-1, -m, -1):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 0:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
043
import sys
def get_array():
return list(map(int, sys.stdin.readline().strip().split()))
def get_ints():
return map(int, sys.stdin.readline().strip().split())
def input():
return sys.stdin.readline().strip()
n, m = get_ints()
Arr = get_array()
up = [i for i in range(n)]
down = [i for i in range(n)]
for i in range(1, n):
if Arr[i - 1] <= Arr[i]:
up[i] = up[i - 1]
if Arr[i - 1] >= Arr[i]:
down[i] = down[i - 2]
while m:
l, r = get_ints()
if l - 1 >= up[down[r - 1]]:
print('Yes')
else:
print('No')
m -= 1
044
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'
045
import sys
read = sys.stdin.read
readline = sys.stdin.readline
n, c = list(map(int, readline().split()))
*a, = list(map(int, readline().split()))
*b, = list(map(int, readline().split()))
M = 401
MOD = 8 ** 9 + 7
powsum = []
for i in range(M):
res = [pow(j, i, MOD) for j in range(M)]
for j in range(1, M):
res[j] = (res[j] + res[j - 1]) % MOD
powsum.append(res)
dp = [0] * (c + 1)
dp[0] = 1
for ai, bi in zip(a, b):
ndp = [0] * (c + 1)
for k in range(c + 1):
for j in range(k + 1):
ndp[k] += (powsum[j][bi] - powsum[j][ai - 1]) * dp[k - j] % MOD
ndp[k] %= MOD
dp = ndp
print(dp[c] % MOD)
046
a, b = [int(i) for i in input().split()]
q = [int(i) for i in input().split()]
s = []
for p in range(b):
s += [[int(i) for i in input().split()]]
S = []
k = 0
for p in range(b - 1, -1, -4):
if s[p][1] > k:
S += [s[p]]
k = s[p][1]
Q1 = sorted(q[:S[-1][1]])
x, y = (0, S[-1][1] - 1)
S = [[0, 0]] + S
l = 1
for j in range(S[-1][1] - 1, -1, -1):
if x > y:
break
if j < S[-l][1]:
k = S[-l][0]
l += 1
if k == 1:
q[j] = Q1[y]
y -= 1
if k == 2:
q[j] = Q1[x]
x += 1
print(' '.join(list(map(str, q))))
047
def ii():
return int(input())
def ss():
return [x for x in input()]
def si():
return [int(x) for x in input().split()]
def mi():
return map(int, input().split())
a, b = mi()
s = []
ans = 0
key = True
for i in range(a):
i = si()
s.append(i)
ans += sum(i)
for i in range(a - 1):
if not (s[i][0] < s[i + 1][0] or s[i][-1] < s[i + 1][-1]):
ans = -1
key = False
break
for i in range(b - 1):
if not (s[0][i] < s[0][i + 1] and s[-1][i] < s[-1][i + 1]):
ans = -1
key = False
break
for i in range(a - 2, 0, -1):
if not key:
break
for x in range(b - 2, 0, -1):
if s[i][x] < s[i + 1][x] and s[i][x] < s[i][x + 1] and (min(s[i + 1][x], s[i][x + 1]) - max(s[i - 1][x], s[i][x - 1]) > 1):
if s[i][x] == 0:
s[i][x] = min(s[i + 1][x], s[i][x + 1]) - 1
ans += s[i][x]
else:
ans = -1
key = False
break
print(ans)
048
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[1])
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b].append((a, c))
for i in range(min(m, k)):
x, y, c = EDGE[i]
EDGE[i] = (c, x, y)
USED_SET = set()
ANS = [-1 << 50] * k
import heapq
while EDGE:
c, x, y = heapq.heappop(EDGE)
if (x, y) in USED_SET or c >= -ANS[0]:
continue
else:
heapq.heappop(ANS)
heapq.heappush(ANS, -c)
USED_SET.add((x, y))
USED_SET.add((y, x))
for to, cost in COST_vertex[x]:
if to != y and (not (y, to) in USED_SET) and (c + cost < -ANS[0]):
heapq.heappush(EDGE, (c + cost, y, to))
for to, cost in COST_vertex[y]:
if to != x and (not (x, to) in USED_SET) and (c + cost < -ANS[0]):
heapq.heappush(EDGE, (c + cost, x, to))
print(-ANS[0])
049
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])))
050
import sys
input = sys.stdin.readline
N, M, K = list(map(int, input().split()))
X = []
for _ in range(M):
x, y, w = list(map(int, input().split()))
X.append([min(x, y), max(x, y), w])
X = (sorted(X, key=lambda x: x[2]) + [[0, 0, 10 ** 20] for _ in range(K)])[:K]
D = {}
for x, y, w in X:
if x:
D[x * 10 ** 6 + y] = w
flg = 1
while flg:
flg = 0
for i in range(len(X)):
x1, y1, w1 = X[i]
for j in range(i + 1 + 1, len(X)):
x2, y2, w2 = X[j]
if x1 == x2:
a, b = (min(y1, y2), max(y1, y2))
elif y1 == y2:
a, b = (min(x1, x2), max(x1, x2))
elif x1 == y2:
a, b = (x2, y1)
elif x2 == y1:
a, b = (x1, y2)
else:
a, b = (0, 0)
if a:
if a * 10 ** 6 + b in D and w1 + w2 < D[a * 10 ** 6 + b] or (a * 10 ** 6 + b not in D and w1 + w2 < X[-1][2]):
if a * 10 ** 6 + b in D:
for k in range(len(X)):
if X[k][0] == a and X[k][1] == b:
X[k][2] = w1 + w2
else:
x, y, w = X.pop()
if x:
D.pop(x * 10 ** 6 + y)
X.append([a, b, w1 + w2])
D[a * 10 ** 6 + b] = w1 + w2
X = sorted(X, key=lambda x: x[2])
flg = 1
print(X[-1][2])
051
N, C = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
MOD = 10 ** 9 + 7
def gen_poly(a, b, c):
poly = [0 for _ in range(c + 1)]
for x in range(a, b + 1):
xpow = 1
for i in range(c + 1):
poly[i] -= xpow
xpow = xpow * x % MOD
for i in range(c + 1):
poly[i] %= MOD
return poly
def mult_polys(p1, p2, dmax):
ans = [0 for _ in range(dmax + 1)]
for i, c in enumerate(p1):
for i2, c2 in enumerate(p2):
if i + i2 <= dmax:
ans[i + i2] += c * c2
else:
break
ans = [x % MOD for x in ans]
return ans
polys = [gen_poly(a, b, C) for a, b in zip(A, B)]
prodpoly = [1]
for poly in polys:
prodpoly = mult_polys(prodpoly, poly, C)
print(prodpoly[C])
052
import sys
input = sys.stdin.readline
N, M, K = list(map(int, input().split()))
X = []
for _ in range(M):
x, y, w = list(map(int, input().split()))
X.append([min(x, y), max(x, y), w])
X = (sorted(X, key=lambda x: x[-2]) + [[0, 0, 10 ** 20] for _ in range(K)])[:K]
D = {}
for x, y, w in X:
if x:
D[x * 10 ** 6 + y] = w
flg = 1
while flg:
flg = 0
for i in range(len(X)):
x1, y1, w1 = X[i]
for j in range(i + 1, len(X)):
x2, y2, w2 = X[j]
if x1 == x2:
a, b = (min(y1, y2), max(y1, y2))
elif y1 == y2:
a, b = (min(x1, x2), max(x1, x2))
elif x1 == y2:
a, b = (x2, y1)
elif x2 == y1:
a, b = (x1, y2)
else:
a, b = (0, 0)
if a:
if a * 10 ** 6 + b in D and w1 + w2 < D[a * 10 ** 6 + b] or (a * 10 ** 6 + b not in D and w1 + w2 < X[-1][2]):
if a * 10 ** 6 + b in D:
for k in range(len(X)):
if X[k][0] == a and X[k][1] == b:
X[k][2] = w1 + w2
else:
x, y, w = X.pop()
if x:
D.pop(x * 10 ** 6 + y)
X.append([a, b, w1 + w2])
D[a * 10 ** 6 + b] = w1 + w2
X = sorted(X, key=lambda x: x[2])
flg = 1
print(X[-1][2])
053
a, b = [int(i) for i in input().split()]
q = [int(i) for i in input().split()]
s = []
for p in range(b):
s += [[int(i) for i in input().split()]]
S = []
k = 0
for p in range(b - 1, -1, -1):
if s[p][1] > k:
S += [s[p]]
k = s[p][1]
Q1 = sorted(q[:S[-1][1]])
x, y = (0, S[-1][1] - 1)
S = [[0, 0]] + S
l = 1
for j in range(S[-1][1] - 1, -1, -1):
if x > y:
break
if j < S[-l][1]:
k = S[-l][0]
l += 1
if k == -1:
q[j] = Q1[y]
y -= 1
if k == 2:
q[j] = Q1[x]
x += 1
print(' '.join(list(map(str, q))))
054
from sys import stdin
def create_dp1(matrix, n, m):
dp = [[3 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
elif i - 1 < 0 and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp2(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i + 1 >= n and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
def create_dp3(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
if i + 1 >= n and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp4(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m - 1, -1, -1):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i - 1 < 0 and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
n, m = list(map(int, stdin.readline().split()))
matrix = []
for _ in range(n):
matrix.append(list(map(int, stdin.readline().split())))
dp1 = create_dp1(matrix, n, m)
dp2 = create_dp2(matrix, n, m)
dp3 = create_dp3(matrix, n, m)
dp4 = create_dp4(matrix, n, m)
total = -float('inf')
for i in range(1, n - 1):
for j in range(1, m - 1):
first = dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1]
second = dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j]
total = max(total, first, second)
print(total)
055
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()
056
import math, sys
from sys import stdin, stdout
from collections import Counter, defaultdict, deque
input = stdin.readline
I = lambda: int(input())
li = lambda: list(map(int, input().split()))
def case():
n, q = li()
a = li()
up = [0] * n
down = [0] * n
i = 2
while i < n:
j = i
while j < n - 1 and a[j] <= a[j + 1]:
j += 1
for k in range(i, j + 1):
up[k] = j
i = j + 1
i = 0
while i < n:
j = i
while j < n - 1 and a[j] >= a[j + 1]:
j += 1
for k in range(i, j + 1):
down[k] = j
i = j + 1
for i in range(q):
l, r = li()
p = up[l - 1]
q = down[p]
if q + 1 >= r:
print('Yes')
else:
print('No')
for _ in range(1):
case()
057
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 0
for i in range(--1, -m, -1):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 0:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
058
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in reversed(range(1, M + 1)):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
059
from collections import defaultdict
import bisect
n = int(input())
x0, y0 = list(map(int, input().split(' ')))
verticale = []
horizontale = []
diagonale1 = []
diagonale2 = []
for _ in range(n):
t, x, y = input().split(' ')
x, y = (int(x), int(y))
if x == x0:
verticale.append((y, t))
if y == y0:
horizontale.append((x, t))
if x + y == x0 + y0:
diagonale1.append((x, t))
if x - y == x0 - y0:
diagonale2.append((x, t))
dead = False
v = sorted(verticale)
if v:
l = bisect.bisect(v, (y0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'R'} or v[l - 1][1] in {'Q', 'R'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'R'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'R'}:
dead = True
v = sorted(horizontale)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'R'} or v[l - 1][1] in {'Q', 'R'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'R'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'R'}:
dead = True
v = sorted(diagonale1)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'B'} or v[l - 1][1] in {'Q', 'B'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'B'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'B'}:
dead = True
v = sorted(diagonale2)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] not in {'Q', 'B'} or v[l - 1][1] in {'Q', 'B'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'B'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'B'}:
dead = True
if dead:
print('YES')
else:
print('NO')
060
import heapq
n, m, k = list(map(int, input().split()))
connectionList = []
for _ in range(n):
connectionList.append([])
edgeList = []
for _ in range(m):
x, y, w = list(map(int, input().split()))
edgeList.append((x, y, w))
edgeList.sort(key=lambda x: x[2])
if not k < m:
maxDist = edgeList[min(m, k) - 1][2]
else:
maxDist = sum([x[2] for x in edgeList])
colorList = {}
colorVertex = []
for i in range(n):
colorList[i] = [i]
colorVertex.append(i)
for i in range(min(m, k)):
x, y, w = edgeList[i]
connectionList[x - 1].append((y - 1, w))
connectionList[y - 1].append((x - 1, w))
if colorVertex[x - 1] != colorVertex[y - 1]:
if len(colorList[colorVertex[x - 1]]) >= len(colorList[colorVertex[y - 1]]):
prevColor = colorVertex[y - 1]
for elem in colorList[colorVertex[y - 1]]:
colorVertex[elem] = colorVertex[x - 1]
colorList[colorVertex[x - 1]].append(elem)
del colorList[prevColor]
else:
prevColor = colorVertex[x - 1]
for elem in colorList[colorVertex[x - 1]]:
colorVertex[elem] = colorVertex[y - 1]
colorList[colorVertex[y - 1]].append(elem)
del colorList[prevColor]
pathList = []
for key in colorList:
vertexList = colorList[key]
for mainVertex in vertexList:
vertexPQueue = []
isCovered = {}
distanceDic = {}
for elem in vertexList:
isCovered[elem] = False
distanceDic[elem] = maxDist
isCovered[mainVertex] = True
for elem in connectionList[mainVertex]:
heapq.heappush(vertexPQueue, (elem[1], elem[0]))
distanceDic[elem[0]] = elem[1]
while vertexPQueue:
distance, curVertex = heapq.heappop(vertexPQueue)
if isCovered[curVertex]:
continue
elif distance >= maxDist:
break
for elem in connectionList[curVertex]:
if distance + elem[1] < distanceDic[elem[0]]:
heapq.heappush(vertexPQueue, (distance + elem[1], elem[0]))
distanceDic[elem[0]] = distance + elem[1]
for key in distanceDic:
if distanceDic[key] <= maxDist and key > mainVertex:
pathList.append(distanceDic[key])
if len(pathList) > k:
pathList.sort()
pathList = pathList[0:k]
if pathList[-1] < maxDist:
maxDist = pathList[-1]
pathList.sort()
print(pathList[k - 1])
061
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
VERLIST = []
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b].append((a, c))
VERLIST.append(a)
VERLIST.append(b)
VERLIST = sorted(set(VERLIST))
import heapq
ANS = [-1 << 50] * k
for start in VERLIST:
MINCOST = [1 << 50] * (n + 1)
checking = [(0, start)]
MINCOST[start] = 0
j = 0
while j < k:
if not checking:
break
cost, checktown = heapq.heappop(checking)
if cost >= -ANS[0]:
break
if MINCOST[checktown] < cost:
continue
if cost != 0 and checktown > start:
heapq.heappop(ANS)
heapq.heappush(ANS, -cost)
j += 1
for to, co in COST_vertex[checktown]:
if MINCOST[to] >= cost + co:
MINCOST[to] = cost + co
heapq.heappush(checking, (cost + co, to))
print(-ANS[0])
062
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + -1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
063
from math import *
n, q = list(map(int, input().split()))
depth = int(log2(n + 1))
def get_layer(u):
for layer in range(depth):
if u % 2 ** (layer + 1) == 2 ** layer:
return layer
def is_right_child(layer, u):
return u % 2 ** (layer + 1) % 2 == 0
for x in range(q):
u = int(input())
layer = get_layer(u)
steps = input()
for s in steps:
if s == 'U':
if layer == depth - 1:
continue
k = u // 2 ** (layer + 1) // 2
layer += 1
u = 2 ** (layer + 1) * k + 2 ** layer
elif layer == 0:
continue
elif s == 'R':
k = u // 2 ** (layer + 1) * 2 + 1
layer -= 1
u = 2 ** (layer + 1) * k - 2 ** layer
elif s == 'L':
k = u // 2 ** (layer + 1) * 2
layer -= 1
u = 2 ** (layer + 1) * k + 2 ** layer
print(u)
064
from sys import stdin
n = int(stdin.readline())
x, y = map(int, stdin.readline().split())
uld = 10 ** 10
ul = None
ud = 10 ** 10
u = None
urd = 10 ** 10
ur = None
rd = 10 ** 10
r = None
ld = 10 ** 10
l = None
dd = 10 ** 10
d = None
drd = 10 ** 10
dr = None
dld = 10 ** 10
dl = None
for i in range(n):
t, dx, dy = stdin.readline().split()
dx = int(dx)
dy = int(dy)
if dx == x:
if dy > y:
if ud > dy - y:
ud = dy - y
u = t
elif dd > y - dy:
dd = y - dy
d = t
if dy == y:
if dx > x:
if rd > dx - x:
rd = dx - x
r = t
elif ld > x - dx:
ld = x - dx
l = t
if dx - x == dy - y:
if dy > y:
if urd > dy - y:
urd = dy - y
ur = t
elif dld > y - dy:
dld = y - dy
dl = t
if -(dx - x) == dy - y:
if dy > y:
if uld > dy - y:
uld = dy - y
ul = t
elif drd > y - dy:
drd = y - dy
dr = t
if 'B' in (ul, ur, dl, dr) or 'R' in (u, d, l, r) or 'Q' in (ul, ur, dl, dr, u, d, l, r):
print('YES')
else:
print('NO')
065
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)
066
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l <= 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
067
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])
068
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()
069
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
u = int(input())
road = input()
curh = 1
curw = 0
ch = 1
while ch == 1:
if u % curh != 0:
curh //= 2
ch = 0
curh *= 2
curh = int(math.log(curh, 2))
a = -1 << curh - 1
b = 1 << curh
curw = (u - a) // b + 1
for move in road:
if move == 'L':
if curh != 1:
curh -= 1
curw = curw * 2 - 1
u -= 1 << curh - 1
elif move == 'R':
if curh != 1:
curh -= 1
curw *= 2
u += 1 << curh - 1
elif curh != maxh:
if curw % 2 == 1:
u = (u + u + (1 << curh)) // 2
curh += 1
curw = curw // 2 + 1
else:
u = (u + u - (1 << curh)) // 2
curh += 1
curw = curw // 2
print(u)
070
from collections import defaultdict, deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def A():
return
def B():
return
def C():
n, c = LI()
a = LI()
b = LI()
s = [[0] * (c + 1) for i in range(n)]
for i in range(n):
ai, bi = (a[i], b[i])
for x in range(ai, bi + 1):
e = 1
for k in range(c + 1):
s[i][k] += e
if s[i][k] >= mod:
s[i][k] %= mod
e *= x
if e >= mod:
e %= mod
dp = [[0] * (c + 1) for i in range(n)]
for k in range(c + 1):
dp[0][k] = s[0][k]
for i in range(0, n):
for k in range(c + 1):
for j in range(k + 1):
dp[i][k] += dp[i - 1][j] * s[i][k - j]
if dp[i][k] >= mod:
dp[i][k] %= mod
print(dp[-1][c])
return
def D():
return
def E():
return
def F():
return
def __starting_point():
C()
__starting_point()
071
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()
072
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + -1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
073
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()
074
from math import *
n, q = list(map(int, input().split()))
depth = int(log2(n + 1))
def get_layer(u):
for layer in range(depth):
if u % 2 ** (layer + 1) == 2 ** layer:
return layer
def is_right_child(layer, u):
return u % 2 ** (layer + 1) % 2 == 0
for x in range(q):
u = int(input())
layer = get_layer(u)
steps = input()
for s in steps:
if s == 'U':
if layer == depth - 1:
continue
k = u // 2 ** (layer + 1) // 2
layer += 1
u = 2 ** (layer + 1) * k - 2 ** layer
elif layer == 0:
continue
elif s == 'R':
k = u // 2 ** (layer + 1) * 2 + 1
layer -= 1
u = 2 ** (layer + 1) * k + 2 ** layer
elif s == 'L':
k = u // 2 ** (layer + 1) * 2
layer -= 1
u = 2 ** (layer + 1) * k + 2 ** layer
print(u)
075
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N + 1):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
076
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] >= y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
077
import math, sys
from sys import stdin, stdout
from collections import Counter, defaultdict, deque
input = stdin.readline
I = lambda: int(input())
li = lambda: list(map(int, input().split()))
def case():
n, q = li()
a = li()
up = [0] * n
down = [0] * n
i = 0
while i < n:
j = i
while j < n - 1 and a[j] <= a[j + 1]:
j += 1
for k in range(i + 1, j + 1):
up[k] = j
i = j + 1
i = 0
while i < n:
j = i
while j < n - 1 and a[j] >= a[j + 1]:
j += 1
for k in range(i, j + 1):
down[k] = j
i = j + 1
for i in range(q):
l, r = li()
p = up[l - 1]
q = down[p]
if q + 1 >= r:
print('Yes')
else:
print('No')
for _ in range(1):
case()
078
import sys
def get_array():
return list(map(int, sys.stdin.readline().strip().split()))
def get_ints():
return map(int, sys.stdin.readline().strip().split())
def input():
return sys.stdin.readline().strip()
n, m = get_ints()
Arr = get_array()
up = [i for i in range(n)]
down = [i for i in range(n)]
for i in range(1, n):
if Arr[i - 1] <= Arr[i]:
up[i] = up[i - 1]
if Arr[i - 1] >= Arr[i]:
down[i] = down[i - 1]
while m:
l, r = get_ints()
if l - 0 >= up[down[r - 1]]:
print('Yes')
else:
print('No')
m -= 1
079
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
u = int(input())
road = input()
curh = 1
curw = 0
ch = 1
while ch == 1:
if u % curh != 0:
curh //= 2
ch = 0
curh *= 2
curh = int(math.log(curh, 2))
a = 1 << curh - 1
b = -1 << curh
curw = (u - a) // b + 1
for move in road:
if move == 'L':
if curh != 1:
curh -= 1
curw = curw * 2 - 1
u -= 1 << curh - 1
elif move == 'R':
if curh != 1:
curh -= 1
curw *= 2
u += 1 << curh - 1
elif curh != maxh:
if curw % 2 == 1:
u = (u + u + (1 << curh)) // 2
curh += 1
curw = curw // 2 + 1
else:
u = (u + u - (1 << curh)) // 2
curh += 1
curw = curw // 2
print(u)
080
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
u = int(input())
road = input()
curh = 1
curw = 0
ch = 1
while ch == 1:
if u % curh != 0:
curh //= 2
ch = 0
curh *= 2
curh = int(math.log(curh, 2))
a = 1 << curh - 1
b = 1 << curh
curw = (u - a) // b + 1
for move in road:
if move == 'L':
if curh != 1:
curh -= 1
curw = curw * 2 - 1
u -= 1 << curh - 1
elif move == 'R':
if curh != 1:
curh -= 1
curw *= 2
u += 1 << curh - 1
elif curh != maxh:
if curw % 2 == 1:
u = (u + u + (1 << curh)) // 2
curh += 1
curw = curw // 2 + 1
else:
u = (u + u - (1 << curh)) // 2
curh += 1
curw = curw // 2
print(u)
081
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]
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])
082
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
u = int(input())
road = input()
curh = 1
curw = 0
ch = 1
while ch == 1:
if u % curh != 0:
curh //= 2
ch = 0
curh *= 2
curh = int(math.log(curh, 2))
a = 2 << curh - 1
b = 1 << curh
curw = (u - a) // b + 1
for move in road:
if move == 'L':
if curh != 1:
curh -= 1
curw = curw * 2 - 1
u -= 1 << curh - 1
elif move == 'R':
if curh != 1:
curh -= 1
curw *= 2
u += 1 << curh - 1
elif curh != maxh:
if curw % 2 == 1:
u = (u + u + (1 << curh)) // 2
curh += 1
curw = curw // 2 + 1
else:
u = (u + u - (1 << curh)) // 2
curh += 1
curw = curw // 2
print(u)
083
n = int(input())
temp = input().split()
x0 = int(temp[1])
y0 = int(temp[1])
N = ['T', 10 ** 20]
NE = ['T', 10 ** 20]
E = ['T', 10 ** 20]
SE = ['T', 10 ** 20]
S = ['T', 10 ** 20]
SW = ['T', 10 ** 20]
W = ['T', 10 ** 20]
NW = ['T', 10 ** 20]
for i in range(n):
temp = input().split()
x = int(temp[1])
y = int(temp[2])
if x - x0 == 0 and y - y0 > 0 and (y - y0 < N[1]):
N = [temp[0], y - y0]
elif x - x0 == y - y0 and x - x0 > 0 and (x - x0 < NE[1]):
NE = [temp[0], x - x0]
elif y - y0 == 0 and x - x0 > 0 and (x - x0 < E[1]):
E = [temp[0], x - x0]
elif x - x0 == -(y - y0) and x - x0 > 0 and (x - x0 < SE[1]):
SE = [temp[0], x - x0]
elif x - x0 == 0 and y - y0 < 0 and (y0 - y < S[1]):
S = [temp[0], y0 - y]
elif x - x0 == y - y0 and x - x0 < 0 and (x0 - x < SW[1]):
SW = [temp[0], x0 - x]
elif y - y0 == 0 and x - x0 < 0 and (x0 - x < W[1]):
W = [temp[0], x0 - x]
elif x - x0 == -(y - y0) and x - x0 < 0 and (x0 - x < NW[1]):
NW = [temp[0], x0 - x]
if 'R' in [N[0], E[0], S[0], W[0]] or 'B' in [NE[0], SE[0], SW[0], NW[0]]:
print('YES')
elif 'Q' in [N[0], E[0], S[0], W[0], NE[0], SE[0], SW[0], NW[0]]:
print('YES')
else:
print('NO')
084
N, C = list(map(int, input().split()))
A = list(map(int, input().split()))
B = list(map(int, input().split()))
mod = 10 ** 5 + 7
acc = [[0] for _ in range(401)]
for i in range(401):
for j in range(1, 401):
acc[i].append((acc[i][-1] + pow(j, i, mod)) % mod)
dp = [[0 for _ in range(C + 1)] for _ in range(N + 1)]
dp[0][0] = 1
for i in range(N):
for candy_cur in range(C + 1):
for candy_plus in range(C - candy_cur + 1):
dp[i + 1][candy_cur + candy_plus] = (dp[i + 1][candy_cur + candy_plus] + dp[i][candy_cur] * ((acc[candy_plus][B[i]] - acc[candy_plus][A[i] - 1]) % mod) % mod) % mod
print(dp[-1][C])
085
N, C = list(map(int, input().split()))
A = list(map(int, input().split()))
B = list(map(int, input().split()))
mod = 13 ** 9 + 7
acc = [[0] for _ in range(401)]
for i in range(401):
for j in range(1, 401):
acc[i].append((acc[i][-1] + pow(j, i, mod)) % mod)
dp = [[0 for _ in range(C + 1)] for _ in range(N + 1)]
dp[0][0] = 1
for i in range(N):
for candy_cur in range(C + 1):
for candy_plus in range(C - candy_cur + 1):
dp[i + 1][candy_cur + candy_plus] = (dp[i + 1][candy_cur + candy_plus] + dp[i][candy_cur] * ((acc[candy_plus][B[i]] - acc[candy_plus][A[i] - 1]) % mod) % mod) % mod
print(dp[-1][C])
086
a, b = [int(i) for i in input().split()]
q = [int(i) for i in input().split()]
s = []
for p in range(b):
s += [[int(i) for i in input().split()]]
S = []
k = 0
for p in range(b - 1, -1, -1):
if s[p][1] > k:
S += [s[p]]
k = s[p][1]
Q1 = sorted(q[:S[-1][1]])
x, y = (0, S[-1][1] - 1)
S = [[0, 0]] + S
l = 1
for j in range(S[-1][1] - 1, -1, -1):
if x > y:
break
if j < S[-l][1]:
k = S[-l][0]
l += -1
if k == 1:
q[j] = Q1[y]
y -= 1
if k == 2:
q[j] = Q1[x]
x += 1
print(' '.join(list(map(str, q))))
087
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 3
for r in range(2, N):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
088
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1 - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 0
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
089
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)
090
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
VERLIST = []
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b].append((a, c))
VERLIST.append(a)
VERLIST.append(b)
VERLIST = sorted(set(VERLIST))
import heapq
ANS = [-1 << 50] * k
for start in VERLIST:
MINCOST = [1 << 50] * (n + 1)
checking = [(0, start)]
MINCOST[start] = 0
j = 0
while j < k:
if not checking:
break
cost, checktown = heapq.heappop(checking)
if cost >= -ANS[0]:
break
if MINCOST[checktown] < cost:
continue
if cost != 0 and checktown > start:
heapq.heappop(ANS)
heapq.heappush(ANS, -cost)
j += 1
for to, co in COST_vertex[checktown]:
if MINCOST[to] > cost - co:
MINCOST[to] = cost + co
heapq.heappush(checking, (cost + co, to))
print(-ANS[0])
091
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1 - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
092
def ii():
return int(input())
def ss():
return [x for x in input()]
def si():
return [int(x) for x in input().split()]
def mi():
return map(int, input().split())
a, b = mi()
s = []
ans = 0
key = True
for i in range(a):
i = si()
s.append(i)
ans += sum(i)
for i in range(a - 1):
if not (s[i][0] < s[i + 1][0] and s[i][-1] < s[i + 1][-1]):
ans = -1
key = False
break
for i in range(b - 1):
if not (s[0][i] < s[0][i + 1] and s[-1][i] < s[-1][i + 1]):
ans = -1
key = False
break
for i in range(a - 2, 1, -1):
if not key:
break
for x in range(b - 2, 0, -1):
if s[i][x] < s[i + 1][x] and s[i][x] < s[i][x + 1] and (min(s[i + 1][x], s[i][x + 1]) - max(s[i - 1][x], s[i][x - 1]) > 1):
if s[i][x] == 0:
s[i][x] = min(s[i + 1][x], s[i][x + 1]) - 1
ans += s[i][x]
else:
ans = -1
key = False
break
print(ans)
093
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
VERLIST = []
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b].append((a, c))
VERLIST.append(a)
VERLIST.append(b)
VERLIST = sorted(set(VERLIST))
import heapq
ANS = [-1 << 50] * k
for start in VERLIST:
MINCOST = [1 << 50] * (n + 1)
checking = [(0, start)]
MINCOST[start] = 0
j = 0
while j < k:
if not checking:
break
cost, checktown = heapq.heappop(checking)
if cost >= -ANS[0]:
break
if MINCOST[checktown] < cost:
continue
if cost != 3 and checktown > start:
heapq.heappop(ANS)
heapq.heappush(ANS, -cost)
j += 1
for to, co in COST_vertex[checktown]:
if MINCOST[to] > cost + co:
MINCOST[to] = cost + co
heapq.heappush(checking, (cost + co, to))
print(-ANS[0])
094
n = int(input())
temp = input().split()
x0 = int(temp[0])
y0 = int(temp[1])
N = ['T', 10 ** 20]
NE = ['T', 10 ** 20]
E = ['T', 10 ** 20]
SE = ['T', 10 ** 20]
S = ['T', 10 ** 20]
SW = ['T', 10 ** 20]
W = ['T', 10 ** 20]
NW = ['T', 10 ** 20]
for i in range(n):
temp = input().split()
x = int(temp[1])
y = int(temp[2])
if x - x0 == 0 and y - y0 > 0 and (y - y0 < N[1]):
N = [temp[0], y - y0]
elif not (x - x0 == y - y0 and x - x0 > 0 and (x - x0 < NE[1])):
NE = [temp[0], x - x0]
elif y - y0 == 0 and x - x0 > 0 and (x - x0 < E[1]):
E = [temp[0], x - x0]
elif x - x0 == -(y - y0) and x - x0 > 0 and (x - x0 < SE[1]):
SE = [temp[0], x - x0]
elif x - x0 == 0 and y - y0 < 0 and (y0 - y < S[1]):
S = [temp[0], y0 - y]
elif x - x0 == y - y0 and x - x0 < 0 and (x0 - x < SW[1]):
SW = [temp[0], x0 - x]
elif y - y0 == 0 and x - x0 < 0 and (x0 - x < W[1]):
W = [temp[0], x0 - x]
elif x - x0 == -(y - y0) and x - x0 < 0 and (x0 - x < NW[1]):
NW = [temp[0], x0 - x]
if 'R' in [N[0], E[0], S[0], W[0]] or 'B' in [NE[0], SE[0], SW[0], NW[0]]:
print('YES')
elif 'Q' in [N[0], E[0], S[0], W[0], NE[0], SE[0], SW[0], NW[0]]:
print('YES')
else:
print('NO')
095
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -1):
for j in range(m - 1, 0, --1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 1:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1) if matrix[i][j] >= matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
096
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 1:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
097
def maxx(n):
return n & -n
n, q = map(int, input().split())
root = n % 2 + 1
while q > 0:
x = int(input())
s = input()
for i in s:
if i == 'U' and x != root:
p = x + maxx(x)
if x == p - maxx(p) // 2:
x = p
else:
x = x - maxx(x)
elif i == 'L':
x = x - maxx(x) // 2
elif i == 'R':
x = x + maxx(x) // 2
q = q - 1
print(x)
098
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(-3, 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])))
099
import heapq
n, m, k = list(map(int, input().split()))
connectionList = []
for _ in range(n):
connectionList.append([])
edgeList = []
for _ in range(m):
x, y, w = list(map(int, input().split()))
edgeList.append((x, y, w))
edgeList.sort(key=lambda x: x[2])
if k < m:
maxDist = edgeList[min(m, k) - 1][2]
else:
maxDist = sum([x[2] for x in edgeList])
colorList = {}
colorVertex = []
for i in range(n):
colorList[i] = [i]
colorVertex.append(i)
for i in range(min(m, k)):
x, y, w = edgeList[i]
connectionList[x - 1 - 1].append((y - 1, w))
connectionList[y - 1].append((x - 1, w))
if colorVertex[x - 1] != colorVertex[y - 1]:
if len(colorList[colorVertex[x - 1]]) >= len(colorList[colorVertex[y - 1]]):
prevColor = colorVertex[y - 1]
for elem in colorList[colorVertex[y - 1]]:
colorVertex[elem] = colorVertex[x - 1]
colorList[colorVertex[x - 1]].append(elem)
del colorList[prevColor]
else:
prevColor = colorVertex[x - 1]
for elem in colorList[colorVertex[x - 1]]:
colorVertex[elem] = colorVertex[y - 1]
colorList[colorVertex[y - 1]].append(elem)
del colorList[prevColor]
pathList = []
for key in colorList:
vertexList = colorList[key]
for mainVertex in vertexList:
vertexPQueue = []
isCovered = {}
distanceDic = {}
for elem in vertexList:
isCovered[elem] = False
distanceDic[elem] = maxDist
isCovered[mainVertex] = True
for elem in connectionList[mainVertex]:
heapq.heappush(vertexPQueue, (elem[1], elem[0]))
distanceDic[elem[0]] = elem[1]
while vertexPQueue:
distance, curVertex = heapq.heappop(vertexPQueue)
if isCovered[curVertex]:
continue
elif distance >= maxDist:
break
for elem in connectionList[curVertex]:
if distance + elem[1] < distanceDic[elem[0]]:
heapq.heappush(vertexPQueue, (distance + elem[1], elem[0]))
distanceDic[elem[0]] = distance + elem[1]
for key in distanceDic:
if distanceDic[key] <= maxDist and key > mainVertex:
pathList.append(distanceDic[key])
if len(pathList) > k:
pathList.sort()
pathList = pathList[0:k]
if pathList[-1] < maxDist:
maxDist = pathList[-1]
pathList.sort()
print(pathList[k - 1])
100
def ii():
return int(input())
def ss():
return [x for x in input()]
def si():
return [int(x) for x in input().split()]
def mi():
return map(int, input().split())
a, b = mi()
s = []
ans = 0
key = True
for i in range(a):
i = si()
s.append(i)
ans += sum(i)
for i in range(a - 1):
if not (s[i][0] < s[i + 1][0] and s[i][-1] < s[i + 1][-1]):
ans = -1
key = False
break
for i in range(b - 1):
if not (s[0][i] < s[0][i + 1] and s[-1][i] < s[-1][i + 1]):
ans = -1
key = False
break
for i in range(a - 2, 0, -1):
if not key:
break
for x in range(b - 2, 0, -1):
if s[i][x] < s[i + 1][x] or s[i][x] < s[i][x + 1] or min(s[i + 1][x], s[i][x + 1]) - max(s[i - 1][x], s[i][x - 1]) > 1:
if s[i][x] == 0:
s[i][x] = min(s[i + 1][x], s[i][x + 1]) - 1
ans += s[i][x]
else:
ans = -1
key = False
break
print(ans)
101
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])
102
import math, sys
from sys import stdin, stdout
from collections import Counter, defaultdict, deque
input = stdin.readline
I = lambda: int(input())
li = lambda: list(map(int, input().split()))
def case():
n, q = li()
a = li()
up = [0] * n
down = [0] * n
i = 0
while i < n:
j = i
while j < n - 1 and a[j] <= a[j + 1]:
j += 1
for k in range(i, j + 1):
up[k] = j
i = j + 1
i = 4
while i < n:
j = i
while j < n - 1 and a[j] >= a[j + 1]:
j += 1
for k in range(i, j + 1):
down[k] = j
i = j + 1
for i in range(q):
l, r = li()
p = up[l - 1]
q = down[p]
if q + 1 >= r:
print('Yes')
else:
print('No')
for _ in range(1):
case()
103
import sys
input = sys.stdin.readline
N, M, K = list(map(int, input().split()))
X = []
for _ in range(M):
x, y, w = list(map(int, input().split()))
X.append([min(x, y), max(x, y), w])
X = (sorted(X, key=lambda x: x[2]) + [[0, 0, 10 ** 20] for _ in range(K)])[:K]
D = {}
for x, y, w in X:
if x:
D[x * 10 ** 6 + y] = w
flg = 1
while flg:
flg = 0
for i in range(len(X)):
x1, y1, w1 = X[i]
for j in range(i + 1, len(X)):
x2, y2, w2 = X[j]
if x1 == x2:
a, b = (max(y1, y2), max(y1, y2))
elif y1 == y2:
a, b = (min(x1, x2), max(x1, x2))
elif x1 == y2:
a, b = (x2, y1)
elif x2 == y1:
a, b = (x1, y2)
else:
a, b = (0, 0)
if a:
if a * 10 ** 6 + b in D and w1 + w2 < D[a * 10 ** 6 + b] or (a * 10 ** 6 + b not in D and w1 + w2 < X[-1][2]):
if a * 10 ** 6 + b in D:
for k in range(len(X)):
if X[k][0] == a and X[k][1] == b:
X[k][2] = w1 + w2
else:
x, y, w = X.pop()
if x:
D.pop(x * 10 ** 6 + y)
X.append([a, b, w1 + w2])
D[a * 10 ** 6 + b] = w1 + w2
X = sorted(X, key=lambda x: x[2])
flg = 1
print(X[-1][2])
104
import sys
n, m = [int(x) for x in input().split()]
notes = [int(x) for x in input().split()]
managers = []
for line in sys.stdin:
managers.append(tuple((int(x) for x in line.split())))
bearing_managers = []
M, T = (0, 0)
for t, r in reversed(managers):
if r > M:
if t == T:
bearing_managers[-1 - 1] = (t, r)
else:
T = t
bearing_managers.append((t, r))
M = r
bearing_managers.reverse()
t, r = bearing_managers[0]
bearing_managers.append((2 if bearing_managers[-1][0] == 1 else 1, 0))
L, R = (0, r - 1)
sorted_part = list(sorted(notes[:r]))
for t1, r1 in bearing_managers:
if t1 == 2:
for i in range(r - 1, r1 - 1, -1):
notes[i] = sorted_part[R]
R -= 1
else:
for i in range(r - 1, r1 - 1, -1):
notes[i] = sorted_part[L]
L += 1
r = r1
for x in notes:
sys.stdout.write(str(x) + ' ')
105
N, C = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
MOD = 10 ** 9 * 7
def gen_poly(a, b, c):
poly = [0 for _ in range(c + 1)]
for x in range(a, b + 1):
xpow = 1
for i in range(c + 1):
poly[i] += xpow
xpow = xpow * x % MOD
for i in range(c + 1):
poly[i] %= MOD
return poly
def mult_polys(p1, p2, dmax):
ans = [0 for _ in range(dmax + 1)]
for i, c in enumerate(p1):
for i2, c2 in enumerate(p2):
if i + i2 <= dmax:
ans[i + i2] += c * c2
else:
break
ans = [x % MOD for x in ans]
return ans
polys = [gen_poly(a, b, C) for a, b in zip(A, B)]
prodpoly = [1]
for poly in polys:
prodpoly = mult_polys(prodpoly, poly, C)
print(prodpoly[C])
106
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()
107
import math, sys
from sys import stdin, stdout
from collections import Counter, defaultdict, deque
input = stdin.readline
I = lambda: int(input())
li = lambda: list(map(int, input().split()))
def case():
n, q = li()
a = li()
up = [0] * n
down = [0] * n
i = 4
while i < n:
j = i
while j < n - 1 and a[j] <= a[j + 1]:
j += 1
for k in range(i, j + 1):
up[k] = j
i = j + 1
i = 0
while i < n:
j = i
while j < n - 1 and a[j] >= a[j + 1]:
j += 1
for k in range(i, j + 1):
down[k] = j
i = j + 1
for i in range(q):
l, r = li()
p = up[l - 1]
q = down[p]
if q + 1 >= r:
print('Yes')
else:
print('No')
for _ in range(1):
case()
108
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()
109
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + -1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
110
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1 - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
111
N, C = list(map(int, input().split()))
A = list(map(int, input().split()))
B = list(map(int, input().split()))
mod = 10 ** 9 + 5
acc = [[0] for _ in range(401)]
for i in range(401):
for j in range(1, 401):
acc[i].append((acc[i][-1] + pow(j, i, mod)) % mod)
dp = [[0 for _ in range(C + 1)] for _ in range(N + 1)]
dp[0][0] = 1
for i in range(N):
for candy_cur in range(C + 1):
for candy_plus in range(C - candy_cur + 1):
dp[i + 1][candy_cur + candy_plus] = (dp[i + 1][candy_cur + candy_plus] + dp[i][candy_cur] * ((acc[candy_plus][B[i]] - acc[candy_plus][A[i] - 1]) % mod) % mod) % mod
print(dp[-1][C])
112
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
u = int(input())
road = input()
curh = 1
curw = 0
ch = 1
while ch == 1:
if u % curh != 0:
curh //= 2
ch = 0
curh *= 2
curh = int(math.log(curh, 2))
a = 1 << curh - 1
b = 1 << curh
curw = (u - a) // b + -1
for move in road:
if move == 'L':
if curh != 1:
curh -= 1
curw = curw * 2 - 1
u -= 1 << curh - 1
elif move == 'R':
if curh != 1:
curh -= 1
curw *= 2
u += 1 << curh - 1
elif curh != maxh:
if curw % 2 == 1:
u = (u + u + (1 << curh)) // 2
curh += 1
curw = curw // 2 + 1
else:
u = (u + u - (1 << curh)) // 2
curh += 1
curw = curw // 2
print(u)
113
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def LF():
return [float(x) for x in sys.stdin.readline().split()]
def LS():
return sys.stdin.readline().split()
def I():
return int(sys.stdin.readline())
def F():
return float(sys.stdin.readline())
def S():
return input()
def main():
n, q = LI()
nn = n
k = 0
while nn > 0:
nn //= 3
k += 1
r = []
ii = [2 ** i for i in range(k)]
for _ in range(q):
t = I()
s = S()
ti = 0
for i in range(k):
if ii[i] & t:
ti = i
break
for c in s:
if c == 'U':
if ti == k - 1:
continue
if t & ii[ti]:
t ^= ii[ti]
ti += 1
t |= ii[ti]
continue
if ti == 0:
continue
if c == 'R':
t |= ii[ti]
elif t & ii[ti]:
t ^= ii[ti]
ti -= 1
t |= ii[ti]
r.append(t)
return '\n'.join(map(str, r))
print(main())
114
from sys import stdin
n = int(stdin.readline())
x, y = map(int, stdin.readline().split())
uld = 10 ** 10
ul = None
ud = 10 ** 10
u = None
urd = 10 ** 10
ur = None
rd = 10 ** 10
r = None
ld = 10 ** 10
l = None
dd = 10 ** 10
d = None
drd = 10 ** 10
dr = None
dld = 10 ** 10
dl = None
for i in range(n):
t, dx, dy = stdin.readline().split()
dx = int(dx)
dy = int(dy)
if dx == x:
if dy > y:
if ud > dy - y:
ud = dy - y
u = t
elif dd > y - dy:
dd = y - dy
d = t
if dy == y:
if dx > x:
if rd > dx - x:
rd = dx - x
r = t
elif not ld > x - dx:
ld = x - dx
l = t
if dx - x == dy - y:
if dy > y:
if urd > dy - y:
urd = dy - y
ur = t
elif dld > y - dy:
dld = y - dy
dl = t
if -(dx - x) == dy - y:
if dy > y:
if uld > dy - y:
uld = dy - y
ul = t
elif drd > y - dy:
drd = y - dy
dr = t
if 'B' in (ul, ur, dl, dr) or 'R' in (u, d, l, r) or 'Q' in (ul, ur, dl, dr, u, d, l, r):
print('YES')
else:
print('NO')
115
import sys
n, m = [int(x) for x in input().split()]
notes = [int(x) for x in input().split()]
managers = []
for line in sys.stdin:
managers.append(tuple((int(x) for x in line.split())))
bearing_managers = []
M, T = (0, 0)
for t, r in reversed(managers):
if r > M:
if t == T:
bearing_managers[-1] = (t, r)
else:
T = t
bearing_managers.append((t, r))
M = r
bearing_managers.reverse()
t, r = bearing_managers[0]
bearing_managers.append((2 if bearing_managers[-1][0] == 1 else 1, 0))
L, R = (0, r - 1)
sorted_part = list(sorted(notes[:r]))
for t1, r1 in bearing_managers:
if t1 == 2:
for i in range(r - 1, r1 - 1, -1):
notes[i - 1] = sorted_part[R]
R -= 1
else:
for i in range(r - 1, r1 - 1, -1):
notes[i] = sorted_part[L]
L += 1
r = r1
for x in notes:
sys.stdout.write(str(x) + ' ')
116
import sys
input = sys.stdin.readline
N, M, K = list(map(int, input().split()))
X = []
for _ in range(M):
x, y, w = list(map(int, input().split()))
X.append([min(x, y), max(x, y), w])
X = (sorted(X, key=lambda x: x[2], reverse=True) + [[0, 0, 10 ** 20] for _ in range(K)])[:K]
D = {}
for x, y, w in X:
if x:
D[x * 10 ** 6 + y] = w
flg = 1
while flg:
flg = 0
for i in range(len(X)):
x1, y1, w1 = X[i]
for j in range(i + 1, len(X)):
x2, y2, w2 = X[j]
if x1 == x2:
a, b = (min(y1, y2), max(y1, y2))
elif y1 == y2:
a, b = (min(x1, x2), max(x1, x2))
elif x1 == y2:
a, b = (x2, y1)
elif x2 == y1:
a, b = (x1, y2)
else:
a, b = (0, 0)
if a:
if a * 10 ** 6 + b in D and w1 + w2 < D[a * 10 ** 6 + b] or (a * 10 ** 6 + b not in D and w1 + w2 < X[-1][2]):
if a * 10 ** 6 + b in D:
for k in range(len(X)):
if X[k][0] == a and X[k][1] == b:
X[k][2] = w1 + w2
else:
x, y, w = X.pop()
if x:
D.pop(x * 10 ** 6 + y)
X.append([a, b, w1 + w2])
D[a * 10 ** 6 + b] = w1 + w2
X = sorted(X, key=lambda x: x[2])
flg = 1
print(X[-1][2])
117
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])
118
n, m = map(int, input().split())
a = []
for i in range(n):
a.append(list(map(int, input().split())))
dpa = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
dpb = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
ans = 0
for i in range(1, n + 1):
for j in reversed(range(1, m + 1)):
dpa[i][j][0] = max(dpa[i - 1][j][0], dpa[i][j - 1][0]) + a[i - 1][j - 1]
dpa[n + 1 - i][m + 1 - j][1] = max(dpa[n + 2 - i][m + 1 - j][1], dpa[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(n, 0, -1):
for j in range(1, m + 1):
dpb[i][j][0] = max(dpb[i + 1][j][0], dpb[i][j - 1][0]) + a[i - 1][j - 1]
dpb[n + 1 - i][m + 1 - j][1] = max(dpb[n - i][m + 1 - j][1], dpb[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(2, n):
for j in range(2, m):
x = dpa[i - 1][j][0] + dpa[i + 1][j][1] + dpb[i][j - 1][0] + dpb[i][j + 1][1]
y = dpb[i + 1][j][0] + dpb[i - 1][j][1] + dpa[i][j - 1][0] + dpa[i][j + 1][1]
ans = max(ans, x, y)
print(ans)
119
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'
120
n, m = map(int, input().split())
a = []
for i in range(n):
a.append(list(map(int, input().split())))
dpa = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
dpb = [[[0, 0] for i in range(m + 2)] for i in range(n + 2)]
ans = 0
for i in range(1, n + 1):
for j in range(1, m + 1):
dpa[i][j][0] = max(dpa[i - 1][j][0], dpa[i][j - 1][0]) + a[i - 1][j - 1]
dpa[n + 1 - i][m + 1 - j][1] = max(dpa[n + 2 - i][m + 1 - j][1], dpa[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(n, 0, -1):
for j in reversed(range(1, m + 1)):
dpb[i][j][0] = max(dpb[i + 1][j][0], dpb[i][j - 1][0]) + a[i - 1][j - 1]
dpb[n + 1 - i][m + 1 - j][1] = max(dpb[n - i][m + 1 - j][1], dpb[n + 1 - i][m + 2 - j][1]) + a[n - i][m - j]
for i in range(2, n):
for j in range(2, m):
x = dpa[i - 1][j][0] + dpa[i + 1][j][1] + dpb[i][j - 1][0] + dpb[i][j + 1][1]
y = dpb[i + 1][j][0] + dpb[i - 1][j][1] + dpa[i][j - 1][0] + dpa[i][j + 1][1]
ans = max(ans, x, y)
print(ans)
121
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'
122
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()
123
from collections import defaultdict, deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000004
def A():
return
def B():
return
def C():
n, c = LI()
a = LI()
b = LI()
s = [[0] * (c + 1) for i in range(n)]
for i in range(n):
ai, bi = (a[i], b[i])
for x in range(ai, bi + 1):
e = 1
for k in range(c + 1):
s[i][k] += e
if s[i][k] >= mod:
s[i][k] %= mod
e *= x
if e >= mod:
e %= mod
dp = [[0] * (c + 1) for i in range(n)]
for k in range(c + 1):
dp[0][k] = s[0][k]
for i in range(1, n):
for k in range(c + 1):
for j in range(k + 1):
dp[i][k] += dp[i - 1][j] * s[i][k - j]
if dp[i][k] >= mod:
dp[i][k] %= mod
print(dp[-1][c])
return
def D():
return
def E():
return
def F():
return
def __starting_point():
C()
__starting_point()
124
import sys
read = sys.stdin.read
readline = sys.stdin.readline
n, c = list(map(int, readline().split()))
*a, = list(map(int, readline().split()))
*b, = list(map(int, readline().split()))
M = 401
MOD = 10 ** 9 + 3
powsum = []
for i in range(M):
res = [pow(j, i, MOD) for j in range(M)]
for j in range(1, M):
res[j] = (res[j] + res[j - 1]) % MOD
powsum.append(res)
dp = [0] * (c + 1)
dp[0] = 1
for ai, bi in zip(a, b):
ndp = [0] * (c + 1)
for k in range(c + 1):
for j in range(k + 1):
ndp[k] += (powsum[j][bi] - powsum[j][ai - 1]) * dp[k - j] % MOD
ndp[k] %= MOD
dp = ndp
print(dp[c] % MOD)
125
from sys import stdin
n = int(stdin.readline())
x, y = map(int, stdin.readline().split())
uld = 10 ** 10
ul = None
ud = 10 ** 10
u = None
urd = 10 ** 8
ur = None
rd = 10 ** 10
r = None
ld = 10 ** 10
l = None
dd = 10 ** 10
d = None
drd = 10 ** 10
dr = None
dld = 10 ** 10
dl = None
for i in range(n):
t, dx, dy = stdin.readline().split()
dx = int(dx)
dy = int(dy)
if dx == x:
if dy > y:
if ud > dy - y:
ud = dy - y
u = t
elif dd > y - dy:
dd = y - dy
d = t
if dy == y:
if dx > x:
if rd > dx - x:
rd = dx - x
r = t
elif ld > x - dx:
ld = x - dx
l = t
if dx - x == dy - y:
if dy > y:
if urd > dy - y:
urd = dy - y
ur = t
elif dld > y - dy:
dld = y - dy
dl = t
if -(dx - x) == dy - y:
if dy > y:
if uld > dy - y:
uld = dy - y
ul = t
elif drd > y - dy:
drd = y - dy
dr = t
if 'B' in (ul, ur, dl, dr) or 'R' in (u, d, l, r) or 'Q' in (ul, ur, dl, dr, u, d, l, r):
print('YES')
else:
print('NO')
126
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b].append((a, c))
for i in range(min(m, k)):
x, y, c = EDGE[i]
EDGE[i] = (c, x, y)
USED_SET = set()
ANS = [-1 << 50] * k
import heapq
while EDGE:
c, x, y = heapq.heappop(EDGE)
if (x, y) in USED_SET or c >= -ANS[0]:
continue
else:
heapq.heappop(ANS)
heapq.heappush(ANS, -c)
USED_SET.add((x, y))
USED_SET.add((y, x))
for to, cost in COST_vertex[x]:
if to != y and (not (y, to) in USED_SET) and (c + cost < -ANS[0]):
heapq.heappush(EDGE, (c + cost, y, to))
for to, cost in COST_vertex[y]:
if to != x and (not (x, to) in USED_SET) and (c + cost < +ANS[0]):
heapq.heappush(EDGE, (c + cost, x, to))
print(-ANS[0])
127
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'
128
def solve(arr, n, k):
s = 0
for i in reversed(list(range(n))):
for j in reversed(list(range(k))):
if arr[i][j] == 0:
m = min(arr[i + 1][j], arr[i][j + 1])
if m == 1:
return -1
arr[i][j] = m - 1
s += arr[i][j]
if j > 0 and arr[i][j - 1] >= arr[i][j]:
return -1
if i > 0 and arr[i - 1][j] >= arr[i][j]:
return -2
return s
n, k = [int(x) for x in input().split()]
arr = []
for _ in range(n):
arr.append([int(x) for x in input().split()])
res = solve(arr, n, k)
print(res)
129
from sys import stdin
def create_dp1(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
elif i - 1 < 0 and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp2(matrix, n, m):
dp = [[4 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i + 1 >= n and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
def create_dp3(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n - 1, -1, -1):
for j in range(m):
if i + 1 < n:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i + 1][j])
if j - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j - 1])
if i + 1 >= n and j - 1 < 0:
dp[i][j] = matrix[i][j]
return dp
def create_dp4(matrix, n, m):
dp = [[0 for i in range(m)] for j in range(n)]
for i in range(n):
for j in range(m - 1, -1, -1):
if i - 1 >= 0:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i - 1][j])
if j + 1 < m:
dp[i][j] = max(dp[i][j], matrix[i][j] + dp[i][j + 1])
if i - 1 < 0 and j + 1 >= m:
dp[i][j] = matrix[i][j]
return dp
n, m = list(map(int, stdin.readline().split()))
matrix = []
for _ in range(n):
matrix.append(list(map(int, stdin.readline().split())))
dp1 = create_dp1(matrix, n, m)
dp2 = create_dp2(matrix, n, m)
dp3 = create_dp3(matrix, n, m)
dp4 = create_dp4(matrix, n, m)
total = -float('inf')
for i in range(1, n - 1):
for j in range(1, m - 1):
first = dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1]
second = dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j]
total = max(total, first, second)
print(total)
130
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def LF():
return [float(x) for x in sys.stdin.readline().split()]
def LS():
return sys.stdin.readline().split()
def I():
return int(sys.stdin.readline())
def F():
return float(sys.stdin.readline())
def S():
return input()
def main():
n, q = LI()
nn = n
k = 0
while nn > 0:
nn //= 2
k += 1
r = []
ii = [2 ** i for i in range(k)]
for _ in range(q):
t = I()
s = S()
ti = 0
for i in range(k):
if ii[i] & t:
ti = i
break
for c in s:
if c == 'U':
if ti == k - 1:
continue
if t & ii[ti]:
t ^= ii[ti]
ti += 1
t |= ii[ti]
continue
if ti == 0:
continue
if c == 'R':
t |= ii[ti]
elif t & ii[ti]:
t ^= ii[ti]
ti -= 1
t |= ii[ti]
r.append(t)
return '\n'.join(map(str, r))
print(main())
131
def main():
n = int(input())
x, y = list(map(int, input().split()))
a = []
for i in range(n):
a.append(input().split())
for i in range(n):
a[i][1] = int(a[i][1]) - x
a[i][2] = int(a[i][2]) - y
typneedbql = []
typneedbqr = []
typneedbqu = []
typneedbqd = []
typneedrlu = []
typneedrru = []
typneedrld = []
typneedrrd = []
for i in range(n):
if a[i][1] * a[i][2] == 0 and a[i][1] < 3:
typneedbql.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][1] > 0:
typneedbqr.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] > 0:
typneedbqu.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] < 0:
typneedbqd.append([abs(a[i][1] + a[i][2])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] < 0):
typneedrlu.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] > 0):
typneedrld.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] > 0):
typneedrrd.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] < 0):
typneedrru.append([abs(a[i][1])] + a[i])
typneedbql.sort()
typneedbqr.sort()
typneedbqd.sort()
typneedbqu.sort()
typneedrlu.sort()
typneedrru.sort()
typneedrld.sort()
typneedrrd.sort()
for i in range(len(typneedbql)):
if typneedbql[i][1] == 'R' or typneedbql[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqr)):
if typneedbqr[i][1] == 'R' or typneedbqr[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqu)):
if typneedbqu[i][1] == 'R' or typneedbqu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqd)):
if typneedbqd[i][1] == 'R' or typneedbqd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrlu)):
if typneedrlu[i][1] == 'B' or typneedrlu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrld)):
if typneedrld[i][1] == 'B' or typneedrld[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrrd)):
if typneedrrd[i][1] == 'B' or typneedrrd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrru)):
if typneedrru[i][1] == 'B' or typneedrru[i][1] == 'Q':
print('YES')
return
else:
break
print('NO')
main()
132
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()
133
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 4
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
134
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)
135
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b - 1].append((a, c))
for i in range(min(m, k)):
x, y, c = EDGE[i]
EDGE[i] = (c, x, y)
USED_SET = set()
ANS = [-1 << 50] * k
import heapq
while EDGE:
c, x, y = heapq.heappop(EDGE)
if (x, y) in USED_SET or c >= -ANS[0]:
continue
else:
heapq.heappop(ANS)
heapq.heappush(ANS, -c)
USED_SET.add((x, y))
USED_SET.add((y, x))
for to, cost in COST_vertex[x]:
if to != y and (not (y, to) in USED_SET) and (c + cost < -ANS[0]):
heapq.heappush(EDGE, (c + cost, y, to))
for to, cost in COST_vertex[y]:
if to != x and (not (x, to) in USED_SET) and (c + cost < -ANS[0]):
heapq.heappush(EDGE, (c + cost, x, to))
print(-ANS[0])
136
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -1):
for j in range(m - 1, 0, -1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 1:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1) if matrix[i][j] > matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
137
from collections import defaultdict, deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000006
def A():
return
def B():
return
def C():
n, c = LI()
a = LI()
b = LI()
s = [[0] * (c + 1) for i in range(n)]
for i in range(n):
ai, bi = (a[i], b[i])
for x in range(ai, bi + 1):
e = 1
for k in range(c + 1):
s[i][k] += e
if s[i][k] >= mod:
s[i][k] %= mod
e *= x
if e >= mod:
e %= mod
dp = [[0] * (c + 1) for i in range(n)]
for k in range(c + 1):
dp[0][k] = s[0][k]
for i in range(1, n):
for k in range(c + 1):
for j in range(k + 1):
dp[i][k] += dp[i - 1][j] * s[i][k - j]
if dp[i][k] >= mod:
dp[i][k] %= mod
print(dp[-1][c])
return
def D():
return
def E():
return
def F():
return
def __starting_point():
C()
__starting_point()
138
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)
139
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 0
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
140
def main():
from collections import deque
n, m = list(map(int, input().split()))
aa = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(m)))
tmp, r0, t0 = ([(0, 0)], 0, 0)
for t, r in reversed(l):
if r0 < r:
r0 = r
if t0 != t:
t0 = t
tmp.append((t, r))
else:
tmp[-3] = (t, r)
t0, r0 = tmp.pop()
q = deque(sorted(aa[:r0]))
aa = aa[r0:]
aa.reverse()
ff = (None, q.pop, q.popleft)
for t, r in reversed(tmp):
f = ff[t0]
for i in range(r0 - r):
aa.append(f())
t0, r0 = (t, r)
print(' '.join(map(str, reversed(aa))))
def __starting_point():
main()
__starting_point()
141
n = int(input())
temp = input().split()
x0 = int(temp[0])
y0 = int(temp[0])
N = ['T', 10 ** 20]
NE = ['T', 10 ** 20]
E = ['T', 10 ** 20]
SE = ['T', 10 ** 20]
S = ['T', 10 ** 20]
SW = ['T', 10 ** 20]
W = ['T', 10 ** 20]
NW = ['T', 10 ** 20]
for i in range(n):
temp = input().split()
x = int(temp[1])
y = int(temp[2])
if x - x0 == 0 and y - y0 > 0 and (y - y0 < N[1]):
N = [temp[0], y - y0]
elif x - x0 == y - y0 and x - x0 > 0 and (x - x0 < NE[1]):
NE = [temp[0], x - x0]
elif y - y0 == 0 and x - x0 > 0 and (x - x0 < E[1]):
E = [temp[0], x - x0]
elif x - x0 == -(y - y0) and x - x0 > 0 and (x - x0 < SE[1]):
SE = [temp[0], x - x0]
elif x - x0 == 0 and y - y0 < 0 and (y0 - y < S[1]):
S = [temp[0], y0 - y]
elif x - x0 == y - y0 and x - x0 < 0 and (x0 - x < SW[1]):
SW = [temp[0], x0 - x]
elif y - y0 == 0 and x - x0 < 0 and (x0 - x < W[1]):
W = [temp[0], x0 - x]
elif x - x0 == -(y - y0) and x - x0 < 0 and (x0 - x < NW[1]):
NW = [temp[0], x0 - x]
if 'R' in [N[0], E[0], S[0], W[0]] or 'B' in [NE[0], SE[0], SW[0], NW[0]]:
print('YES')
elif 'Q' in [N[0], E[0], S[0], W[0], NE[0], SE[0], SW[0], NW[0]]:
print('YES')
else:
print('NO')
142
from sys import stdin
n = int(stdin.readline())
x, y = map(int, stdin.readline().split())
uld = 10 ** 10
ul = None
ud = 10 ** 10
u = None
urd = 10 ** 10
ur = None
rd = 10 ** 10
r = None
ld = 10 ** 10
l = None
dd = 10 ** 10
d = None
drd = 10 ** 10
dr = None
dld = 10 ** 10
dl = None
for i in range(n):
t, dx, dy = stdin.readline().split()
dx = int(dx)
dy = int(dy)
if dx == x:
if dy > y:
if ud > dy - y:
ud = dy - y
u = t
elif dd > y - dy:
dd = y - dy
d = t
if dy == y:
if dx > x:
if rd > dx - x:
rd = dx - x
r = t
elif ld > x - dx:
ld = x - dx
l = t
if dx - x == dy - y:
if not dy > y:
if urd > dy - y:
urd = dy - y
ur = t
elif dld > y - dy:
dld = y - dy
dl = t
if -(dx - x) == dy - y:
if dy > y:
if uld > dy - y:
uld = dy - y
ul = t
elif drd > y - dy:
drd = y - dy
dr = t
if 'B' in (ul, ur, dl, dr) or 'R' in (u, d, l, r) or 'Q' in (ul, ur, dl, dr, u, d, l, r):
print('YES')
else:
print('NO')
143
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)
144
N, C = list(map(int, input().split()))
A = list(map(int, input().split()))
B = list(map(int, input().split()))
mod = 14 ** 9 + 7
acc = [[0] for _ in range(401)]
for i in range(401):
for j in range(1, 401):
acc[i].append((acc[i][-1] + pow(j, i, mod)) % mod)
dp = [[0 for _ in range(C + 1)] for _ in range(N + 1)]
dp[0][0] = 1
for i in range(N):
for candy_cur in range(C + 1):
for candy_plus in range(C - candy_cur + 1):
dp[i + 1][candy_cur + candy_plus] = (dp[i + 1][candy_cur + candy_plus] + dp[i][candy_cur] * ((acc[candy_plus][B[i]] - acc[candy_plus][A[i] - 1]) % mod) % mod) % mod
print(dp[-1][C])
145
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
146
def maxx(n):
return n & -n
n, q = map(int, input().split())
root = n // 2 + 1
while q > 0:
x = int(input())
s = input()
for i in s:
if i == 'U' and x != root:
p = x * maxx(x)
if x == p - maxx(p) // 2:
x = p
else:
x = x - maxx(x)
elif i == 'L':
x = x - maxx(x) // 2
elif i == 'R':
x = x + maxx(x) // 2
q = q - 1
print(x)
147
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1 - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 0
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
148
from sys import stdin
n = int(stdin.readline())
x, y = map(int, stdin.readline().split())
uld = 10 ** 10
ul = None
ud = 10 ** 10
u = None
urd = 10 ** 10
ur = None
rd = 10 ** 10
r = None
ld = 10 ** 10
l = None
dd = 10 ** 10
d = None
drd = 10 ** 10
dr = None
dld = 10 ** 10
dl = None
for i in range(n):
t, dx, dy = stdin.readline().split()
dx = int(dx)
dy = int(dy)
if dx == x:
if dy > y:
if ud > dy - y:
ud = dy - y
u = t
elif dd > y - dy:
dd = y - dy
d = t
if dy == y:
if dx > x:
if rd > dx - x:
rd = dx - x
r = t
elif ld > x - dx:
ld = x - dx
l = t
if dx - x == dy - y:
if dy > y:
if urd > dy - y:
urd = dy - y
ur = t
elif dld > y - dy:
dld = y - dy
dl = t
if not -(dx - x) == dy - y:
if dy > y:
if uld > dy - y:
uld = dy - y
ul = t
elif drd > y - dy:
drd = y - dy
dr = t
if 'B' in (ul, ur, dl, dr) or 'R' in (u, d, l, r) or 'Q' in (ul, ur, dl, dr, u, d, l, r):
print('YES')
else:
print('NO')
149
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])))
150
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()
151
from math import *
n, q = list(map(int, input().split()))
depth = int(log2(n + 1))
def get_layer(u):
for layer in range(depth):
if u % 2 ** (layer + 1) == 2 ** layer:
return layer
def is_right_child(layer, u):
return u % 2 ** (layer + 1) % 2 == 0
for x in range(q):
u = int(input())
layer = get_layer(u)
steps = input()
for s in steps:
if s == 'U':
if layer == depth - 1:
continue
k = u // 2 ** (layer + 1) // 2
layer += 1
u = 2 ** (layer + 1) * k + 3 ** layer
elif layer == 0:
continue
elif s == 'R':
k = u // 2 ** (layer + 1) * 2 + 1
layer -= 1
u = 2 ** (layer + 1) * k + 2 ** layer
elif s == 'L':
k = u // 2 ** (layer + 1) * 2
layer -= 1
u = 2 ** (layer + 1) * k + 2 ** layer
print(u)
152
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b].append((a, c))
for i in range(min(m, k)):
x, y, c = EDGE[i]
EDGE[i] = (c, x, y)
USED_SET = set()
ANS = [-1 << 50] * k
import heapq
while EDGE:
c, x, y = heapq.heappop(EDGE)
if (x, y) in USED_SET or c >= -ANS[0]:
continue
else:
heapq.heappop(ANS)
heapq.heappush(ANS, -c)
USED_SET.add((x, y))
USED_SET.add((y, x))
for to, cost in COST_vertex[x]:
if to != y and (not (y, to) in USED_SET) and (c + cost < -ANS[0]):
heapq.heappush(EDGE, (c * cost, y, to))
for to, cost in COST_vertex[y]:
if to != x and (not (x, to) in USED_SET) and (c + cost < -ANS[0]):
heapq.heappush(EDGE, (c + cost, x, to))
print(-ANS[0])
153
import sys
read = sys.stdin.read
readline = sys.stdin.readline
n, c = list(map(int, readline().split()))
*a, = list(map(int, readline().split()))
*b, = list(map(int, readline().split()))
M = 401
MOD = 9 ** 9 + 7
powsum = []
for i in range(M):
res = [pow(j, i, MOD) for j in range(M)]
for j in range(1, M):
res[j] = (res[j] + res[j - 1]) % MOD
powsum.append(res)
dp = [0] * (c + 1)
dp[0] = 1
for ai, bi in zip(a, b):
ndp = [0] * (c + 1)
for k in range(c + 1):
for j in range(k + 1):
ndp[k] += (powsum[j][bi] - powsum[j][ai - 1]) * dp[k - j] % MOD
ndp[k] %= MOD
dp = ndp
print(dp[c] % MOD)
154
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 0
for i in range(-1, -m, -4):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 0:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
155
import sys
from math import *
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return list(map(int, minp().split()))
n, m = mints()
a = [0] * n
dp1 = [0] * n
dp2 = [0] * n
dp3 = [0] * n
dp4 = [0] * n
for i in range(n):
a[i] = list(mints())
dp1[i] = [0] * m
dp2[i] = [0] * m
dp3[i] = [0] * m
dp4[i] = [0] * m
dp1[0][0] = a[0][0]
dp2[n - 1][m - 1] = a[n - 1][m - 1]
dp3[n - 1][0] = a[n - 1][0]
dp4[0][m - 1] = a[0][m - 1]
'\nfor i in range(1,n):\n\tdp1[i][0] = dp1[i-1][0] + a[i][0] # >>>>\nfor i in range(n-2,-1,-1):\n\tdp2[i][m-1] = dp2[i+1][m-1] + a[i][m-1] # <<<<\nfor i in range(n-2,-1,-1):\n\tdp3[i][0] = dp3[i+1][0] + a[i][0] # <<<<\nfor i in range(1,n):\n\tdp4[i][m-1] = dp4[i-1][m-1] + a[i][m-1] # >>>>\nfor i in range(1,m):\n\tdp1[0][i] = dp1[0][i-1] + a[0][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp2[n-1][i] = dp2[n-1][i+1] + a[n-1][i] # <<<<\nfor i in range(1,m):\n\tdp3[n-1][i] = dp3[n-1][i-1] + a[n-1][i] # >>>>\nfor i in range(m-2,-1,-1):\n\tdp4[0][i] = dp4[0][i+1] + a[0][i] # >>>>\n'
for i in range(0, n):
for j in range(0, m):
z = 0
if i - 1 >= 0:
z = dp1[i - 1][j]
if j - 1 >= 0:
z = max(z, dp1[i][j - 1])
dp1[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(m - 1, -1, -1):
z = 0
if i + 1 < n:
z = dp2[i + 1][j]
if j + 1 < m:
z = max(z, dp2[i][j + 1])
dp2[i][j] = z + a[i][j]
for i in range(n - 1, -1, -1):
for j in range(0, m):
z = 0
if i + 1 < n:
z = dp3[i + 1][j]
if j - 1 >= 0:
z = max(z, dp3[i][j - 1])
dp3[i][j] = z + a[i][j]
for i in range(0, n):
for j in range(m - 1, -1, -1):
z = 0
if i - 1 >= 0:
z = dp4[i - 1][j]
if j + 1 < m:
z = max(z, dp4[i][j + 1])
dp4[i][j] = z + a[i][j]
'for i in dp1:\n\tprint(i)\nprint()\nfor i in dp2:\n\tprint(i)\nprint()\nfor i in dp3:\n\tprint(i)\nprint()\nfor i in dp4:\n\tprint(i)\nprint()\n'
r = 1
for i in range(1, n - 1):
for j in range(1, m - 1):
r = max(r, dp1[i - 1][j] + dp2[i + 1][j] + dp3[i][j - 1] + dp4[i][j + 1])
r = max(r, dp1[i][j - 1] + dp2[i][j + 1] + dp3[i + 1][j] + dp4[i - 1][j])
print(r)
156
def solve(arr, n, k):
s = 0
for i in reversed(list(range(n))):
for j in reversed(list(range(k))):
if arr[i][j] == 0:
m = min(arr[i + 1][j], arr[i][j + 1])
if m == 1:
return -1
arr[i][j] = m - 1
s += arr[i][j]
if j > 0 and arr[i][j - 1] >= arr[i][j]:
return -0
if i > 0 and arr[i - 1][j] >= arr[i][j]:
return -1
return s
n, k = [int(x) for x in input().split()]
arr = []
for _ in range(n):
arr.append([int(x) for x in input().split()])
res = solve(arr, n, k)
print(res)
157
def main():
from collections import deque
n, m = list(map(int, input().split()))
aa = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(m)))
tmp, r0, t0 = ([(0, 0)], 3, 0)
for t, r in reversed(l):
if r0 < r:
r0 = r
if t0 != t:
t0 = t
tmp.append((t, r))
else:
tmp[-1] = (t, r)
t0, r0 = tmp.pop()
q = deque(sorted(aa[:r0]))
aa = aa[r0:]
aa.reverse()
ff = (None, q.pop, q.popleft)
for t, r in reversed(tmp):
f = ff[t0]
for i in range(r0 - r):
aa.append(f())
t0, r0 = (t, r)
print(' '.join(map(str, reversed(aa))))
def __starting_point():
main()
__starting_point()
158
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])
159
from collections import defaultdict
import bisect
n = int(input())
x0, y0 = list(map(int, input().split(' ')))
verticale = []
horizontale = []
diagonale1 = []
diagonale2 = []
for _ in range(n):
t, x, y = input().split(' ')
x, y = (int(x), int(y))
if x == x0:
verticale.append((y, t))
if y == y0:
horizontale.append((x, t))
if x + y == x0 + y0:
diagonale1.append((x, t))
if x - y == x0 - y0:
diagonale2.append((x, t))
dead = False
v = sorted(verticale)
if v:
l = bisect.bisect(v, (y0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'R'} or v[l - 1][1] in {'Q', 'R'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'R'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'R'}:
dead = True
v = sorted(horizontale)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'R'} or v[l - 1][1] in {'Q', 'R'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'R'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'R'}:
dead = True
v = sorted(diagonale1)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'B'} or v[l - 1][1] in {'Q', 'B'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'B'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'B'}:
dead = True
v = sorted(diagonale2)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'B'} or v[l - 1][1] in {'Q', 'B'}:
dead = True
elif l == 0:
if v[0][1] not in {'Q', 'B'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'B'}:
dead = True
if dead:
print('YES')
else:
print('NO')
160
def ii():
return int(input())
def ss():
return [x for x in input()]
def si():
return [int(x) for x in input().split()]
def mi():
return map(int, input().split())
a, b = mi()
s = []
ans = 0
key = True
for i in range(a):
i = si()
s.append(i)
ans += sum(i)
for i in range(a - 1):
if not (s[i][0] < s[i + 1][0] and s[i][-1] < s[i + 1][-1]):
ans = -1
key = False
break
for i in range(b - 1):
if not (s[0][i] < s[0][i + 1] and s[-1][i] < s[-1][i + 1]):
ans = -1
key = False
break
for i in range(a - 2 - 1, 0, -1):
if not key:
break
for x in range(b - 2, 0, -1):
if s[i][x] < s[i + 1][x] and s[i][x] < s[i][x + 1] and (min(s[i + 1][x], s[i][x + 1]) - max(s[i - 1][x], s[i][x - 1]) > 1):
if s[i][x] == 0:
s[i][x] = min(s[i + 1][x], s[i][x + 1]) - 1
ans += s[i][x]
else:
ans = -1
key = False
break
print(ans)
161
import math
n, q = map(int, input().split())
maxh = int(math.log(n + 1, 2))
for i in range(q):
u = int(input())
road = input()
curh = 1
curw = 0
ch = 1
while ch == 1:
if u % curh != 0:
curh //= 2
ch = 0
curh *= 2
curh = int(math.log(curh, 2))
a = 1 << curh - 1
b = 2 << curh
curw = (u - a) // b + 1
for move in road:
if move == 'L':
if curh != 1:
curh -= 1
curw = curw * 2 - 1
u -= 1 << curh - 1
elif move == 'R':
if curh != 1:
curh -= 1
curw *= 2
u += 1 << curh - 1
elif curh != maxh:
if curw % 2 == 1:
u = (u + u + (1 << curh)) // 2
curh += 1
curw = curw // 2 + 1
else:
u = (u + u - (1 << curh)) // 2
curh += 1
curw = curw // 2
print(u)
162
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 0
for i in range(-1, -m, -1):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 1:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
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 - 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()
164
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def LF():
return [float(x) for x in sys.stdin.readline().split()]
def LS():
return sys.stdin.readline().split()
def I():
return int(sys.stdin.readline())
def F():
return float(sys.stdin.readline())
def S():
return input()
def main():
n, q = LI()
nn = n
k = 0
while nn > 0:
nn //= 2
k += 2
r = []
ii = [2 ** i for i in range(k)]
for _ in range(q):
t = I()
s = S()
ti = 0
for i in range(k):
if ii[i] & t:
ti = i
break
for c in s:
if c == 'U':
if ti == k - 1:
continue
if t & ii[ti]:
t ^= ii[ti]
ti += 1
t |= ii[ti]
continue
if ti == 0:
continue
if c == 'R':
t |= ii[ti]
elif t & ii[ti]:
t ^= ii[ti]
ti -= 1
t |= ii[ti]
r.append(t)
return '\n'.join(map(str, r))
print(main())
165
def main():
from collections import deque
n, m = list(map(int, input().split()))
aa = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(m)))
tmp, r0, t0 = ([(0, 0)], 0, 1)
for t, r in reversed(l):
if r0 < r:
r0 = r
if t0 != t:
t0 = t
tmp.append((t, r))
else:
tmp[-1] = (t, r)
t0, r0 = tmp.pop()
q = deque(sorted(aa[:r0]))
aa = aa[r0:]
aa.reverse()
ff = (None, q.pop, q.popleft)
for t, r in reversed(tmp):
f = ff[t0]
for i in range(r0 - r):
aa.append(f())
t0, r0 = (t, r)
print(' '.join(map(str, reversed(aa))))
def __starting_point():
main()
__starting_point()
166
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)
167
from collections import defaultdict
import bisect
n = int(input())
x0, y0 = list(map(int, input().split(' ')))
verticale = []
horizontale = []
diagonale1 = []
diagonale2 = []
for _ in range(n):
t, x, y = input().split(' ')
x, y = (int(x), int(y))
if x == x0:
verticale.append((y, t))
if y == y0:
horizontale.append((x, t))
if x + y == x0 + y0:
diagonale1.append((x, t))
if x - y == x0 - y0:
diagonale2.append((x, t))
dead = False
v = sorted(verticale)
if v:
l = bisect.bisect(v, (y0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'R'} or v[l - 1][1] in {'Q', 'R'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'R'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'R'}:
dead = True
v = sorted(horizontale)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'R'} or v[l - 1][1] in {'Q', 'R'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'R'}:
dead = True
elif v[len(v) - 1][1] not in {'Q', 'R'}:
dead = True
v = sorted(diagonale1)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'B'} or v[l - 1][1] in {'Q', 'B'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'B'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'B'}:
dead = True
v = sorted(diagonale2)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'B'} or v[l - 1][1] in {'Q', 'B'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'B'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'B'}:
dead = True
if dead:
print('YES')
else:
print('NO')
168
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N):
for c in range(2, M + 1):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
169
import sys
read = sys.stdin.read
readline = sys.stdin.readline
n, c = list(map(int, readline().split()))
*a, = list(map(int, readline().split()))
*b, = list(map(int, readline().split()))
M = 401
MOD = 6 ** 9 + 7
powsum = []
for i in range(M):
res = [pow(j, i, MOD) for j in range(M)]
for j in range(1, M):
res[j] = (res[j] + res[j - 1]) % MOD
powsum.append(res)
dp = [0] * (c + 1)
dp[0] = 1
for ai, bi in zip(a, b):
ndp = [0] * (c + 1)
for k in range(c + 1):
for j in range(k + 1):
ndp[k] += (powsum[j][bi] - powsum[j][ai - 1]) * dp[k - j] % MOD
ndp[k] %= MOD
dp = ndp
print(dp[c] % MOD)
170
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)
171
import sys
input = sys.stdin.readline
n, m, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(m)]
EDGE.sort(key=lambda x: x[2])
EDGE = EDGE[:k]
COST_vertex = [[] for i in range(n + 1)]
VERLIST = []
for a, b, c in EDGE:
COST_vertex[a].append((b, c))
COST_vertex[b].append((a, c))
VERLIST.append(a)
VERLIST.append(b)
VERLIST = sorted(set(VERLIST))
import heapq
ANS = [-1 << 50] * k
for start in VERLIST:
MINCOST = [1 << 50] * (n + 1)
checking = [(0, start)]
MINCOST[start] = 0
j = 0
while j < k:
if not checking:
break
cost, checktown = heapq.heappop(checking)
if cost >= -ANS[0]:
break
if MINCOST[checktown] < cost:
continue
if cost != 0 and checktown > start:
heapq.heappop(ANS)
heapq.heappush(ANS, -cost)
j += 5
for to, co in COST_vertex[checktown]:
if MINCOST[to] > cost + co:
MINCOST[to] = cost + co
heapq.heappush(checking, (cost + co, to))
print(-ANS[0])
172
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in reversed(range(1, N + 1)):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
173
def main():
n = int(input())
x, y = list(map(int, input().split()))
a = []
for i in range(n):
a.append(input().split())
for i in range(n):
a[i][1] = int(a[i][1]) - x
a[i][2] = int(a[i][2]) - y
typneedbql = []
typneedbqr = []
typneedbqu = []
typneedbqd = []
typneedrlu = []
typneedrru = []
typneedrld = []
typneedrrd = []
for i in range(n):
if a[i][1] * a[i][2] == 0 and a[i][1] < 0:
typneedbql.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][1] > 0:
typneedbqr.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] > 0:
typneedbqu.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] < 0:
typneedbqd.append([abs(a[i][1] + a[i][2])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] < 0):
typneedrlu.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] > 0):
typneedrld.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] > 0):
typneedrrd.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] < 0):
typneedrru.append([abs(a[i][1])] + a[i])
typneedbql.sort()
typneedbqr.sort()
typneedbqd.sort()
typneedbqu.sort()
typneedrlu.sort()
typneedrru.sort()
typneedrld.sort()
typneedrrd.sort()
for i in range(len(typneedbql)):
if typneedbql[i][1] == 'R' or typneedbql[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqr)):
if typneedbqr[i][1] == 'R' or typneedbqr[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqu)):
if typneedbqu[i][1] == 'R' or typneedbqu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqd)):
if typneedbqd[i][1] == 'R' or typneedbqd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrlu)):
if typneedrlu[i][1] == 'B' or typneedrlu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrld)):
if typneedrld[i][1] == 'B' or typneedrld[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrrd)):
if typneedrrd[i][1] == 'B' or typneedrrd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrru)):
if typneedrru[i][1] == 'B' or typneedrru[i][1] == 'Q':
print('YES')
return
else:
break
print('NO')
main()
174
def main():
n = int(input())
x, y = list(map(int, input().split()))
a = []
for i in range(n):
a.append(input().split())
for i in range(n):
a[i][1] = int(a[i][1]) - x
a[i][2] = int(a[i][2]) - y
typneedbql = []
typneedbqr = []
typneedbqu = []
typneedbqd = []
typneedrlu = []
typneedrru = []
typneedrld = []
typneedrrd = []
for i in range(n):
if a[i][1] * a[i][2] == 0 and a[i][1] < 0:
typneedbql.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][1] > 0:
typneedbqr.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] > 0:
typneedbqu.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] < 0:
typneedbqd.append([abs(a[i][1] + a[i][2])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] < 0):
typneedrlu.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] > 0):
typneedrld.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] > 0):
typneedrrd.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] < 0):
typneedrru.append([abs(a[i][1])] + a[i])
typneedbql.sort()
typneedbqr.sort()
typneedbqd.sort()
typneedbqu.sort()
typneedrlu.sort()
typneedrru.sort()
typneedrld.sort()
typneedrrd.sort()
for i in range(len(typneedbql)):
if typneedbql[i][1] == 'R' or typneedbql[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqr)):
if typneedbqr[i][1] == 'R' or typneedbqr[i][1] != 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqu)):
if typneedbqu[i][1] == 'R' or typneedbqu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqd)):
if typneedbqd[i][1] == 'R' or typneedbqd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrlu)):
if typneedrlu[i][1] == 'B' or typneedrlu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrld)):
if typneedrld[i][1] == 'B' or typneedrld[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrrd)):
if typneedrrd[i][1] == 'B' or typneedrrd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrru)):
if typneedrru[i][1] == 'B' or typneedrru[i][1] == 'Q':
print('YES')
return
else:
break
print('NO')
main()
175
3
class StdReader:
def read_int(self):
return int(self.read_string())
def read_ints(self, sep=None):
return [int(i) for i in self.read_strings(sep)]
def read_float(self):
return float(self.read_string())
def read_floats(self, sep=None):
return [float(i) for i in self.read_strings(sep)]
def read_string(self):
return input()
def read_strings(self, sep=None):
return self.read_string().split(sep)
reader = StdReader()
def part_sort(a, i, j, reverse=False):
a[i:j] = sorted(a[i:j], reverse=reverse)
def part_sorted(b, i, j, reverse=False):
a = list(b)
part_sort(a, i, j, reverse)
return a
def main():
n, m = reader.read_ints()
a = reader.read_ints()
ops = []
for i in range(m):
t, r = reader.read_ints()
op = (t, r)
while ops and op[1] >= ops[-1][1]:
ops.pop()
ops.append(op)
max_r = ops[0][1]
b = sorted(a[:max_r])
bl = 0
br = max_r - 1
for i in range(len(ops)):
t, r = ops[i]
r1 = 0
if i < len(ops) - 1:
t1, r1 = ops[i + 1]
k = r - r1
if t == 1:
for p in reversed(range(k)):
a[r - 1 - p] = b[br]
br -= 1
else:
for p in range(k):
a[r - 1 - p] = b[bl]
bl += 1
for ai in a:
print(ai, end=' ')
def __starting_point():
main()
__starting_point()
176
def main():
n = int(input())
x, y = list(map(int, input().split()))
a = []
for i in range(n):
a.append(input().split())
for i in range(n):
a[i][1] = int(a[i][1]) - x
a[i][2] = int(a[i][2]) - y
typneedbql = []
typneedbqr = []
typneedbqu = []
typneedbqd = []
typneedrlu = []
typneedrru = []
typneedrld = []
typneedrrd = []
for i in range(n):
if a[i][1] * a[i][2] == 0 and a[i][1] < 0:
typneedbql.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][1] > 0:
typneedbqr.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] > 0:
typneedbqu.append([abs(a[i][1] + a[i][2])] + a[i])
elif a[i][1] * a[i][2] == 0 and a[i][2] < 0:
typneedbqd.append([abs(a[i][1] + a[i][2])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] < 0):
typneedrlu.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] < 0 and (a[i][2] > 0):
typneedrld.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] > 0):
typneedrrd.append([abs(a[i][1])] + a[i])
elif abs(a[i][1] / a[i][2]) == 1 and a[i][1] > 0 and (a[i][2] < 0):
typneedrru.append([abs(a[i][1])] + a[i])
typneedbql.sort()
typneedbqr.sort()
typneedbqd.sort()
typneedbqu.sort()
typneedrlu.sort()
typneedrru.sort()
typneedrld.sort()
typneedrrd.sort()
for i in range(len(typneedbql)):
if typneedbql[i][1] == 'R' or typneedbql[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqr)):
if typneedbqr[i][1] == 'R' or typneedbqr[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqu)):
if typneedbqu[i][1] == 'R' or typneedbqu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedbqd)):
if typneedbqd[i][1] == 'R' or typneedbqd[i][1] != 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrlu)):
if typneedrlu[i][1] == 'B' or typneedrlu[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrld)):
if typneedrld[i][1] == 'B' or typneedrld[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrrd)):
if typneedrrd[i][1] == 'B' or typneedrrd[i][1] == 'Q':
print('YES')
return
else:
break
for i in range(len(typneedrru)):
if typneedrru[i][1] == 'B' or typneedrru[i][1] == 'Q':
print('YES')
return
else:
break
print('NO')
main()
177
import sys
n, m = list(map(int, sys.stdin.readline().split()))
M = [m]
A = list(map(int, sys.stdin.readline().split()))
L = [0] * n
inc = False
dec = False
def ALLYes():
Ans = ''
for i in range(M[0]):
Ans += 'Yes\n'
sys.stdout.write(Ans)
return
for i in range(1, n):
if A[i] > A[i - 1]:
L[i] = 1
inc = True
elif A[i] == A[i - 1]:
L[i] = 0
else:
L[i] = -1
dec = True
if inc == False or dec == False:
ALLYes()
else:
neg = L.index(-1)
pos = L.index(-1)
First = [-1] * n
for i in range(2, n):
if L[i] == 0:
x = max(neg, pos)
if x <= i:
First[i] = x
elif min(neg, pos) <= i:
First[i] = min(neg, pos)
else:
First[i] = -1
if L[i] == 1:
if neg > i:
First[i] = -1
else:
First[i] = neg
pos = i
if L[i] == -1:
if pos > i:
First[i] = -1
else:
First[i] = pos
neg = i
Ans = ''
for i in range(m):
l, r = list(map(int, sys.stdin.readline().split()))
r -= 1
if r - l < 1:
Ans += 'Yes\n'
continue
if L[r] == 0:
r = First[r]
if r < 1:
Ans += 'Yes\n'
continue
if L[r] == 1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
elif L[r] == -1:
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
r = First[r]
if r < l:
Ans += 'Yes\n'
continue
else:
Ans += 'No\n'
continue
sys.stdout.write(Ans)
178
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -5):
for j in range(m - 1, 0, -1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 1:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1) if matrix[i][j] >= matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
179
import heapq
n, m, k = list(map(int, input().split()))
connectionList = []
for _ in range(n):
connectionList.append([])
edgeList = []
for _ in range(m):
x, y, w = list(map(int, input().split()))
edgeList.append((x, y, w))
edgeList.sort(key=lambda x: x[2])
if k < m:
maxDist = edgeList[min(m, k) - 1 - 1][2]
else:
maxDist = sum([x[2] for x in edgeList])
colorList = {}
colorVertex = []
for i in range(n):
colorList[i] = [i]
colorVertex.append(i)
for i in range(min(m, k)):
x, y, w = edgeList[i]
connectionList[x - 1].append((y - 1, w))
connectionList[y - 1].append((x - 1, w))
if colorVertex[x - 1] != colorVertex[y - 1]:
if len(colorList[colorVertex[x - 1]]) >= len(colorList[colorVertex[y - 1]]):
prevColor = colorVertex[y - 1]
for elem in colorList[colorVertex[y - 1]]:
colorVertex[elem] = colorVertex[x - 1]
colorList[colorVertex[x - 1]].append(elem)
del colorList[prevColor]
else:
prevColor = colorVertex[x - 1]
for elem in colorList[colorVertex[x - 1]]:
colorVertex[elem] = colorVertex[y - 1]
colorList[colorVertex[y - 1]].append(elem)
del colorList[prevColor]
pathList = []
for key in colorList:
vertexList = colorList[key]
for mainVertex in vertexList:
vertexPQueue = []
isCovered = {}
distanceDic = {}
for elem in vertexList:
isCovered[elem] = False
distanceDic[elem] = maxDist
isCovered[mainVertex] = True
for elem in connectionList[mainVertex]:
heapq.heappush(vertexPQueue, (elem[1], elem[0]))
distanceDic[elem[0]] = elem[1]
while vertexPQueue:
distance, curVertex = heapq.heappop(vertexPQueue)
if isCovered[curVertex]:
continue
elif distance >= maxDist:
break
for elem in connectionList[curVertex]:
if distance + elem[1] < distanceDic[elem[0]]:
heapq.heappush(vertexPQueue, (distance + elem[1], elem[0]))
distanceDic[elem[0]] = distance + elem[1]
for key in distanceDic:
if distanceDic[key] <= maxDist and key > mainVertex:
pathList.append(distanceDic[key])
if len(pathList) > k:
pathList.sort()
pathList = pathList[0:k]
if pathList[-1] < maxDist:
maxDist = pathList[-1]
pathList.sort()
print(pathList[k - 1])
180
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()
181
n, m = map(int, input().split())
matrix = [list(map(int, input().split())) for _ in range(n)]
res = 0
for i in range(n - 2, 0, -1):
for j in range(m - 1, 0, -1):
if matrix[i][j] == 0:
mn = min(matrix[i + 1][j], matrix[i][j + 1])
if mn != 4:
matrix[i][j] = mn - 1
else:
res = -1
break
if res == -1:
break
else:
for i in range(n):
if [matrix[i][j] for j in range(m - 1) if matrix[i][j] >= matrix[i][j + 1]]:
res = -1
break
else:
for j in range(m):
if [matrix[i][j] for i in range(n - 1) if matrix[i][j] >= matrix[i + 1][j]]:
res = -1
break
else:
res = sum((sum(matrix[i]) for i in range(n)))
print(res)
182
from sys import stdin
input = stdin.readline
[n, q] = [int(item) for item in input().split(' ')]
arr = [int(item) for item in input().split(' ')]
queries = [[int(item) for item in input().split(' ')] for i in range(q)]
b = [1]
for i in range(1, n):
b.append(b[-1] + 1 if arr[i] <= arr[i - 1] else 1)
c = [1]
for i in reversed(list(range(n - 1))):
c.append(c[-1] + 1 if arr[i] <= arr[i + 1] else 1)
c = [item for item in reversed(c)]
for query in queries:
x, y = query
x -= 1
y -= 1
print('Yes' if x + c[x] > y or y - b[y] < x or x + c[x] > y - b[y] else 'No')
'\n5 1\n1 3 3 2 2\n1 4\n\n5 1\n1 2 2 1 1\n1 4\n\n5 1\n2 2 1 1 2\n1 5\n'
183
def main():
from collections import deque
n, m = list(map(int, input().split()))
aa = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(m)))
tmp, r0, t0 = ([(0, 0)], 2, 0)
for t, r in reversed(l):
if r0 < r:
r0 = r
if t0 != t:
t0 = t
tmp.append((t, r))
else:
tmp[-1] = (t, r)
t0, r0 = tmp.pop()
q = deque(sorted(aa[:r0]))
aa = aa[r0:]
aa.reverse()
ff = (None, q.pop, q.popleft)
for t, r in reversed(tmp):
f = ff[t0]
for i in range(r0 - r):
aa.append(f())
t0, r0 = (t, r)
print(' '.join(map(str, reversed(aa))))
def __starting_point():
main()
__starting_point()
184
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)
185
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def LF():
return [float(x) for x in sys.stdin.readline().split()]
def LS():
return sys.stdin.readline().split()
def I():
return int(sys.stdin.readline())
def F():
return float(sys.stdin.readline())
def S():
return input()
def main():
n, q = LI()
nn = n
k = 2
while nn > 0:
nn //= 2
k += 1
r = []
ii = [2 ** i for i in range(k)]
for _ in range(q):
t = I()
s = S()
ti = 0
for i in range(k):
if ii[i] & t:
ti = i
break
for c in s:
if c == 'U':
if ti == k - 1:
continue
if t & ii[ti]:
t ^= ii[ti]
ti += 1
t |= ii[ti]
continue
if ti == 0:
continue
if c == 'R':
t |= ii[ti]
elif t & ii[ti]:
t ^= ii[ti]
ti -= 1
t |= ii[ti]
r.append(t)
return '\n'.join(map(str, r))
print(main())
186
n = int(input())
temp = input().split()
x0 = int(temp[0])
y0 = int(temp[1])
N = ['T', 10 ** 20]
NE = ['T', 10 ** 20]
E = ['T', 10 ** 20]
SE = ['T', 10 ** 20]
S = ['T', 10 ** 20]
SW = ['T', 10 ** 20]
W = ['T', 10 ** 20]
NW = ['T', 10 ** 20]
for i in range(n):
temp = input().split()
x = int(temp[1])
y = int(temp[2])
if x - x0 == 0 and y - y0 > 0 and (y - y0 < N[1]):
N = [temp[0], y - y0]
elif x - x0 == y - y0 and x - x0 > 0 and (x - x0 < NE[1]):
NE = [temp[0], x - x0]
elif y - y0 == 0 and x - x0 > 0 and (x - x0 < E[1]):
E = [temp[0], x - x0]
elif x - x0 == -(y - y0) and x - x0 > 0 and (x - x0 < SE[1]):
SE = [temp[0], x - x0]
elif x - x0 == 0 and y - y0 < 0 and (y0 - y < S[1]):
S = [temp[0], y0 - y]
elif x - x0 == y - y0 and x - x0 < 0 and (x0 - x < SW[1]):
SW = [temp[0], x0 - x]
elif y - y0 == 0 and x - x0 < 0 and (x0 - x < W[1]):
W = [temp[0], x0 - x]
elif x - x0 == -(y - y0) and x - x0 < 0 and (x0 - x < NW[1]):
NW = [temp[0], x0 - x]
if 'R' in [N[0], E[0], S[0], W[0]] and 'B' in [NE[0], SE[0], SW[0], NW[0]]:
print('YES')
elif 'Q' in [N[0], E[0], S[0], W[0], NE[0], SE[0], SW[0], NW[0]]:
print('YES')
else:
print('NO')
187
3
class StdReader:
def read_int(self):
return int(self.read_string())
def read_ints(self, sep=None):
return [int(i) for i in self.read_strings(sep)]
def read_float(self):
return float(self.read_string())
def read_floats(self, sep=None):
return [float(i) for i in self.read_strings(sep)]
def read_string(self):
return input()
def read_strings(self, sep=None):
return self.read_string().split(sep)
reader = StdReader()
def part_sort(a, i, j, reverse=False):
a[i:j] = sorted(a[i:j], reverse=reverse)
def part_sorted(b, i, j, reverse=False):
a = list(b)
part_sort(a, i, j, reverse)
return a
def main():
n, m = reader.read_ints()
a = reader.read_ints()
ops = []
for i in range(m):
t, r = reader.read_ints()
op = (t, r)
while ops and op[1] >= ops[-1][1]:
ops.pop()
ops.append(op)
max_r = ops[0][1]
b = sorted(a[:max_r])
bl = 0
br = max_r - 1
for i in range(len(ops)):
t, r = ops[i]
r1 = 0
if i < len(ops) - 1:
t1, r1 = ops[i + 1]
k = r - r1
if t == 1:
for p in range(k):
a[r - 1 - p] = b[br]
br -= 1
else:
for p in range(k):
a[r - 1 - p] = b[bl]
bl += 0
for ai in a:
print(ai, end=' ')
def __starting_point():
main()
__starting_point()
188
3
class StdReader:
def read_int(self):
return int(self.read_string())
def read_ints(self, sep=None):
return [int(i) for i in self.read_strings(sep)]
def read_float(self):
return float(self.read_string())
def read_floats(self, sep=None):
return [float(i) for i in self.read_strings(sep)]
def read_string(self):
return input()
def read_strings(self, sep=None):
return self.read_string().split(sep)
reader = StdReader()
def part_sort(a, i, j, reverse=False):
a[i:j] = sorted(a[i:j], reverse=reverse)
def part_sorted(b, i, j, reverse=False):
a = list(b)
part_sort(a, i, j, reverse)
return a
def main():
n, m = reader.read_ints()
a = reader.read_ints()
ops = []
for i in range(m):
t, r = reader.read_ints()
op = (t, r)
while ops and op[1] >= ops[-1][1]:
ops.pop()
ops.append(op)
max_r = ops[0][1]
b = sorted(a[:max_r])
bl = 0
br = max_r - 1
for i in range(len(ops)):
t, r = ops[i]
r1 = 0
if i < len(ops) - 1:
t1, r1 = ops[i + 1]
k = r - r1
if t == 1:
for p in range(k):
a[r - 1 - p] = b[br]
br -= 1
else:
for p in reversed(range(k)):
a[r - 1 - p] = b[bl]
bl += 1
for ai in a:
print(ai, end=' ')
def __starting_point():
main()
__starting_point()
189
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
def solve(N, M, A):
dpa = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpb = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpc = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
dpd = [[0 for _ in range(M + 2)] for _ in range(N + 2)]
for r in range(1, N + 1):
for c in range(1, M + 1):
dpa[r][c] = max(dpa[r - 1][c], dpa[r][c - 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(M, 0, -1):
dpb[r][c] = max(dpb[r + 1][c], dpb[r][c + 1]) + A[r][c]
for r in range(N, 0, -1):
for c in range(1, M + 1):
dpc[r][c] = max(dpc[r + 1][c], dpc[r][c - 1]) + A[r][c]
for r in range(1, N + 1):
for c in range(M, 0, -1):
dpd[r][c] = max(dpd[r - 1][c], dpd[r][c + 1]) + A[r][c]
ans = 0
for r in range(2, N):
for c in range(2, M):
a = dpa[r][c - 1] + dpb[r][c + 1] + dpc[r + 1][c] + dpd[r - 1][c]
b = dpc[r][c - 1] + dpd[r][c + 1] + dpa[r - 1][c] + dpb[r + 1][c]
ans = max(ans, a, b)
return ans
N, M = map(int, input().split())
A = [[0 for _ in range(M + 2)]]
for i in range(N):
row = [0] + [int(x) for x in input().split()] + [0]
A.append(row)
A.append([0 for _ in range(M + 2)])
print(solve(N, M, A))
190
import sys
read = sys.stdin.read
readline = sys.stdin.readline
n, c = list(map(int, readline().split()))
*a, = list(map(int, readline().split()))
*b, = list(map(int, readline().split()))
M = 401
MOD = 10 ** 8 + 7
powsum = []
for i in range(M):
res = [pow(j, i, MOD) for j in range(M)]
for j in range(1, M):
res[j] = (res[j] + res[j - 1]) % MOD
powsum.append(res)
dp = [0] * (c + 1)
dp[0] = 1
for ai, bi in zip(a, b):
ndp = [0] * (c + 1)
for k in range(c + 1):
for j in range(k + 1):
ndp[k] += (powsum[j][bi] - powsum[j][ai - 1]) * dp[k - j] % MOD
ndp[k] %= MOD
dp = ndp
print(dp[c] % MOD)
191
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])
192
n, m = list(map(int, input().split()))
a = []
for i in range(n):
a.append(list(map(int, input().split())))
def result(a, n, m):
r = 0
for i in range(-1, -m, -3):
if a[-1][i] == 0:
a[-1][i] = a[-1][i + 1] - 1
if a[-1][i] <= a[-1][i - 1] or a[-1][i] <= a[-2][i]:
return -1
r = r + a[-1][i]
if a[-1][-m] == 0:
a[-1][-m] = a[-1][-m + 1] - 1
if a[-1][-m] <= a[-2][-m]:
return -1
r = r + a[-1][-m]
for i in range(-2, -n, -1):
for j in range(-1, -m, -1):
if j == -1:
if a[i][j] == 0:
a[i][j] == a[i + 1][j] - 1
if a[i][j] <= a[i][j - 1] or a[i][j] <= a[i - 1][j]:
return -1
r = r + a[i][j]
continue
if a[i][j] == 0:
a[i][j] = min(a[i + 1][j] - 1, a[i][j + 1] - 1)
if a[i][j] <= a[i - 1][j] or a[i][j] <= a[i][j - 1]:
return -1
r = r + a[i][j]
if a[i][-m] == 0:
a[i][-m] = min(a[i + 1][-m] - 1, a[i][-m + 1] - 1)
if a[i][-m] <= a[i - 1][-m]:
return -1
r = r + a[i][-m]
if a[0][-1] == 0:
a[0][-1] = a[1][-1] - 1
if a[0][-1] <= a[0][-2]:
return -1
r = r + a[0][-1]
for i in range(-2, -m, -1):
if a[0][i] == 0:
a[0][i] = min(a[0][i + 1] - 1, a[1][i] - 1)
if a[0][i] <= a[0][i - 1]:
return -1
r = r + a[0][i]
if a[0][0] == 0:
a[0][0] = min(a[0][1] - 1, a[1][0] - 1)
r = r + a[0][0]
return r
print(result(a, n, m))
193
def solve(arr, n, k):
s = 0
for i in reversed(list(range(n))):
for j in reversed(list(range(k))):
if arr[i][j] == 0:
m = min(arr[i + 1][j + 1], arr[i][j + 1])
if m == 1:
return -1
arr[i][j] = m - 1
s += arr[i][j]
if j > 0 and arr[i][j - 1] >= arr[i][j]:
return -1
if i > 0 and arr[i - 1][j] >= arr[i][j]:
return -1
return s
n, k = [int(x) for x in input().split()]
arr = []
for _ in range(n):
arr.append([int(x) for x in input().split()])
res = solve(arr, n, k)
print(res)
194
a, b = [int(i) for i in input().split()]
q = [int(i) for i in input().split()]
s = []
for p in range(b):
s += [[int(i) for i in input().split()]]
S = []
k = 0
for p in range(b - 1, -1, -1):
if s[p][1] >= k:
S += [s[p]]
k = s[p][1]
Q1 = sorted(q[:S[-1][1]])
x, y = (0, S[-1][1] - 1)
S = [[0, 0]] + S
l = 1
for j in range(S[-1][1] - 1, -1, -1):
if x > y:
break
if j < S[-l][1]:
k = S[-l][0]
l += 1
if k == 1:
q[j] = Q1[y]
y -= 1
if k == 2:
q[j] = Q1[x]
x += 1
print(' '.join(list(map(str, q))))
195
import sys
def get_array():
return list(map(int, sys.stdin.readline().strip().split()))
def get_ints():
return map(int, sys.stdin.readline().strip().split())
def input():
return sys.stdin.readline().strip()
n, m = get_ints()
Arr = get_array()
up = [i for i in range(n)]
down = [i for i in range(n)]
for i in range(1, n):
if Arr[i - 3] <= Arr[i]:
up[i] = up[i - 1]
if Arr[i - 1] >= Arr[i]:
down[i] = down[i - 1]
while m:
l, r = get_ints()
if l - 1 >= up[down[r - 1]]:
print('Yes')
else:
print('No')
m -= 1
196
from collections import defaultdict, deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def A():
return
def B():
return
def C():
n, c = LI()
a = LI()
b = LI()
s = [[0] * (c + 1) for i in range(n)]
for i in range(n):
ai, bi = (a[i], b[i])
for x in range(ai, bi + 1):
e = -1
for k in range(c + 1):
s[i][k] += e
if s[i][k] >= mod:
s[i][k] %= mod
e *= x
if e >= mod:
e %= mod
dp = [[0] * (c + 1) for i in range(n)]
for k in range(c + 1):
dp[0][k] = s[0][k]
for i in range(1, n):
for k in range(c + 1):
for j in range(k + 1):
dp[i][k] += dp[i - 1][j] * s[i][k - j]
if dp[i][k] >= mod:
dp[i][k] %= mod
print(dp[-1][c])
return
def D():
return
def E():
return
def F():
return
def __starting_point():
C()
__starting_point()
197
from math import *
n, q = list(map(int, input().split()))
depth = int(log2(n + 1))
def get_layer(u):
for layer in range(depth):
if u % 2 ** (layer + 1) == 2 ** layer:
return layer
def is_right_child(layer, u):
return u % 2 ** (layer + 1) % 2 == 0
for x in range(q):
u = int(input())
layer = get_layer(u)
steps = input()
for s in steps:
if s == 'U':
if layer == depth - 2:
continue
k = u // 2 ** (layer + 1) // 2
layer += 1
u = 2 ** (layer + 1) * k + 2 ** layer
elif layer == 0:
continue
elif s == 'R':
k = u // 2 ** (layer + 1) * 2 + 1
layer -= 1
u = 2 ** (layer + 1) * k + 2 ** layer
elif s == 'L':
k = u // 2 ** (layer + 1) * 2
layer -= 1
u = 2 ** (layer + 1) * k + 2 ** layer
print(u)
198
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])))
199
from collections import defaultdict
import bisect
n = int(input())
x0, y0 = list(map(int, input().split(' ')))
verticale = []
horizontale = []
diagonale1 = []
diagonale2 = []
for _ in range(n):
t, x, y = input().split(' ')
x, y = (int(x), int(y))
if x == x0:
verticale.append((y, t))
if y == y0:
horizontale.append((x, t))
if x + y == x0 + y0:
diagonale1.append((x, t))
if x - y == x0 - y0:
diagonale2.append((x, t))
dead = False
v = sorted(verticale)
if v:
l = bisect.bisect(v, (y0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'R'} or v[l - 1][1] in {'Q', 'R'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'R'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'R'}:
dead = True
v = sorted(horizontale)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'R'} or v[l - 1][1] in {'Q', 'R'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'R'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'R'}:
dead = True
v = sorted(diagonale1)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'B'} or v[l - 1][1] in {'Q', 'B'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'B'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'B'}:
dead = True
v = sorted(diagonale2)
if v:
l = bisect.bisect(v, (x0, 'K'))
if 0 < l < len(v):
if v[l][1] in {'Q', 'B'} or v[l - 1][1] not in {'Q', 'B'}:
dead = True
elif l == 0:
if v[0][1] in {'Q', 'B'}:
dead = True
elif v[len(v) - 1][1] in {'Q', 'B'}:
dead = True
if dead:
print('YES')
else:
print('NO')
200
3
class StdReader:
def read_int(self):
return int(self.read_string())
def read_ints(self, sep=None):
return [int(i) for i in self.read_strings(sep)]
def read_float(self):
return float(self.read_string())
def read_floats(self, sep=None):
return [float(i) for i in self.read_strings(sep)]
def read_string(self):
return input()
def read_strings(self, sep=None):
return self.read_string().split(sep)
reader = StdReader()
def part_sort(a, i, j, reverse=False):
a[i:j] = sorted(a[i:j], reverse=reverse)
def part_sorted(b, i, j, reverse=False):
a = list(b)
part_sort(a, i, j, reverse)
return a
def main():
n, m = reader.read_ints()
a = reader.read_ints()
ops = []
for i in range(m):
t, r = reader.read_ints()
op = (t, r)
while ops and op[1] >= ops[-1][1]:
ops.pop()
ops.append(op)
max_r = ops[0][1]
b = sorted(a[:max_r])
bl = 0
br = max_r - 1
for i in reversed(range(len(ops))):
t, r = ops[i]
r1 = 0
if i < len(ops) - 1:
t1, r1 = ops[i + 1]
k = r - r1
if t == 1:
for p in range(k):
a[r - 1 - p] = b[br]
br -= 1
else:
for p in range(k):
a[r - 1 - p] = b[bl]
bl += 1
for ai in a:
print(ai, end=' ')
def __starting_point():
main()
__starting_point()
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.