Submission #8561102
Source Code Expand
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
import itertools
import numpy as np
from functools import lru_cache
X = list(map(int,readline().split()))
Y = list(map(int,readline().split()))
for i in [1,3,5]:
X[i] += 1
Y[i] += 1
X1 = X[:2]; X2 = X[2:4]; X3 = X[4:]
Y1 = Y[:2]; Y2 = Y[2:4]; Y3 = Y[4:]
def cumprod(arr,MOD):
L = len(arr); Lsq = int(L**.5+1)
arr = np.resize(arr,Lsq**2).reshape(Lsq,Lsq)
for n in range(1,Lsq):
arr[:,n] *= arr[:,n-1]; arr[:,n] %= MOD
for n in range(1,Lsq):
arr[n] *= arr[n-1,-1]; arr[n] %= MOD
return arr.ravel()[:L]
def make_fact(U,MOD):
x = np.arange(U,dtype=np.int64); x[0] = 1
fact = cumprod(x,MOD)
x = np.arange(U,0,-1,dtype=np.int64); x[0] = pow(int(fact[-1]),MOD-2,MOD)
fact_inv = cumprod(x,MOD)[::-1]
return fact,fact_inv
U = 2 * 10 ** 6 + 10
MOD = 10**9 + 7
fact, fact_inv = make_fact(U,MOD)
@lru_cache(5)
def make_comb(n):
return fact[n] * fact_inv[:n+1] % MOD * fact_inv[:n+1][::-1] % MOD
answer = 0
for p in itertools.product([0,1],repeat=6):
x1,x2,x3,y1,y2,y3 = [A[i] for A,i in zip([X1,X2,X3,Y1,Y2,Y3],p)]
sgn = (-1) ** sum(p)
a,b,c,d = x2-x1, x3-x2, x2-x1+y2-y1, x3-x2+y3-y2
c += 2; d += 2; sgn = -sgn
# (1+A)^c(1+B)^d / (A-B)^2 における A^aB^b の係数
# まずはa+b+2次式部分を抽出する:A側の次数で持つ
D = a + b + 2
# A^i B^j の寄与。
L = max(0, D-d)
R = min(c, D)
if L > R:
continue
x = make_comb(c)[L:R+1]
L,R = D-R,D-L
y = make_comb(d)[L:R+1]
x = x * y[::-1] % MOD
# B=1と見立てる。(1-A)^2 で割って、A^(a-L)の係数
np.cumsum(x,out=x)
x %= MOD
np.cumsum(x,out=x)
x %= MOD
L,R = D-R,D-L
if 0 <= a-L < len(x):
answer += sgn * x[a-L]
answer %= MOD
print(answer)
Submission Info
Submission Time |
|
Task |
E - Sightseeing Plan |
User |
maspy |
Language |
Python (3.4.3) |
Score |
1600 |
Code Size |
1970 Byte |
Status |
AC |
Exec Time |
3906 ms |
Memory |
176440 KB |
Judge Result
Set Name |
Sample |
All |
Score / Max Score |
0 / 0 |
1600 / 1600 |
Status |
|
|
Set Name |
Test Cases |
Sample |
sample_01.txt, sample_02.txt, sample_03.txt |
All |
sample_01.txt, sample_02.txt, sample_03.txt, sample_01.txt, sample_02.txt, sample_03.txt, subtask_1_01.txt, subtask_1_02.txt, subtask_1_03.txt, subtask_1_04.txt, subtask_1_05.txt, subtask_1_06.txt, subtask_1_07.txt, subtask_1_08.txt, subtask_1_09.txt, subtask_1_10.txt, subtask_1_11.txt, subtask_1_12.txt, subtask_1_13.txt, subtask_1_14.txt, subtask_1_15.txt, subtask_1_16.txt, subtask_1_17.txt, subtask_1_18.txt, subtask_1_19.txt, subtask_1_20.txt, subtask_1_21.txt, subtask_1_22.txt, subtask_1_23.txt, subtask_1_24.txt |
Case Name |
Status |
Exec Time |
Memory |
sample_01.txt |
AC |
492 ms |
99228 KB |
sample_02.txt |
AC |
362 ms |
90584 KB |
sample_03.txt |
AC |
3749 ms |
151756 KB |
subtask_1_01.txt |
AC |
357 ms |
90584 KB |
subtask_1_02.txt |
AC |
811 ms |
91980 KB |
subtask_1_03.txt |
AC |
3506 ms |
162252 KB |
subtask_1_04.txt |
AC |
967 ms |
111052 KB |
subtask_1_05.txt |
AC |
1110 ms |
134860 KB |
subtask_1_06.txt |
AC |
922 ms |
99276 KB |
subtask_1_07.txt |
AC |
1962 ms |
161932 KB |
subtask_1_08.txt |
AC |
1139 ms |
111564 KB |
subtask_1_09.txt |
AC |
878 ms |
116556 KB |
subtask_1_10.txt |
AC |
3540 ms |
145232 KB |
subtask_1_11.txt |
AC |
3387 ms |
141004 KB |
subtask_1_12.txt |
AC |
3361 ms |
136268 KB |
subtask_1_13.txt |
AC |
3480 ms |
143436 KB |
subtask_1_14.txt |
AC |
3310 ms |
130124 KB |
subtask_1_15.txt |
AC |
2856 ms |
131660 KB |
subtask_1_16.txt |
AC |
3555 ms |
136400 KB |
subtask_1_17.txt |
AC |
3714 ms |
140492 KB |
subtask_1_18.txt |
AC |
2919 ms |
124620 KB |
subtask_1_19.txt |
AC |
1177 ms |
145228 KB |
subtask_1_20.txt |
AC |
3009 ms |
176440 KB |
subtask_1_21.txt |
AC |
1636 ms |
153008 KB |
subtask_1_22.txt |
AC |
3602 ms |
167372 KB |
subtask_1_23.txt |
AC |
3906 ms |
175820 KB |
subtask_1_24.txt |
AC |
3599 ms |
162100 KB |