結果

問題 No.1847 Good Sequence
ユーザー chineristAC
提出日時 2022-02-18 22:54:21
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 238 ms / 3,000 ms
コード長 2,161 bytes
コンパイル時間 127 ms
コンパイル使用メモリ 82,124 KB
実行使用メモリ 77,312 KB
最終ジャッジ日時 2024-06-29 09:41:12
合計ジャッジ時間 4,064 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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ファイルパターン 結果
other AC * 41
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ソースコード

diff #
プレゼンテーションモードにする

import sys,random,bisect
from collections import deque,defaultdict
from heapq import heapify,heappop,heappush
from itertools import permutations
from math import log,gcd
input = lambda :sys.stdin.readline().rstrip()
mi = lambda :map(int,input().split())
li = lambda :list(mi())
mod = 10**9 + 7
def mat_mul(X,Y):
    n,m = len(X),len(Y[0])
    res = [[0 for j in range(m)] for i in range(n)]
    for i in range(n):
        for j in range(m):
            for k in range(len(Y)):
                res[i][j] += X[i][k] * Y[k][j]
                res[i][j] %= mod
    return res
L,N,M = mi()
K = li()
cond = []
cond_to_i = {}
t = 0
for i in range(1,N+1):
    if i in K:
        for j in range(1,i+2):
            cond.append((i,j))
            cond_to_i[i,j] = t
            t += 1
    else:
        cond.append((i,1))
        cond_to_i[i,1] = t
        t += 1
cond.append((-1,-1))
cond_to_i[-1,-1] = t
NN = len(cond)
A = [[0 for j in range(NN)] for i in range(NN)]
for i,j in cond:
    for n in range(1,N+1):
        if (i,j)==(-1,-1):
            ni,nj = (-1,-1)
        else:
            if i in K:
                if j==i+1:
                    if n==i:
                        ni,nj = i,j
                    else:
                        ni,nj = n,1
                elif j==i:
                    if n==i:
                        ni,nj = i,j+1
                    else:
                        ni,nj = -1,-1
                else:
                    if n==i:
                        ni,nj = i,j+1
                    else:
                        ni,nj = n,1
            
            else:
                if n==i:
                    ni,nj = i,j
                else:
                    ni,nj = n,1
        
        x,y = cond_to_i[i,j],cond_to_i[ni,nj]
        A[y][x] += 1
E = [[0]] * NN
for i in range(1,N+1):
    t = cond_to_i[i,1]
    E[t] = [1]
L -= 1
while L:
    if L & 1:
        E = mat_mul(A,E)
    A = mat_mul(A,A)
    L >>= 1
res = 0
for i,j in cond:
    t = cond_to_i[i,j]
    if (i,j)==(-1,-1):
        res += E[t][0]
    elif i in K and j==i:
        res += E[t][0]
    res %= mod
    #print(i,j,E[t][0])
print(res)
            
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