結果
問題 | No.1696 Nonnil |
ユーザー | chineristAC |
提出日時 | 2021-10-01 22:29:27 |
言語 | PyPy3 (7.3.13) |
結果 |
AC
|
実行時間 | 323 ms / 3,500 ms |
コード長 | 1,850 bytes |
コンパイル時間 | 565 ms |
コンパイル使用メモリ | 86,660 KB |
実行使用メモリ | 119,156 KB |
最終ジャッジ日時 | 2023-09-26 18:21:06 |
合計ジャッジ時間 | 11,978 ms |
ジャッジサーバーID (参考情報) |
judge14 / judge15 |
テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 104 ms
81,164 KB |
testcase_01 | AC | 105 ms
81,268 KB |
testcase_02 | AC | 107 ms
81,504 KB |
testcase_03 | AC | 269 ms
118,876 KB |
testcase_04 | AC | 107 ms
81,304 KB |
testcase_05 | AC | 108 ms
81,340 KB |
testcase_06 | AC | 108 ms
81,232 KB |
testcase_07 | AC | 104 ms
81,496 KB |
testcase_08 | AC | 238 ms
118,472 KB |
testcase_09 | AC | 146 ms
83,840 KB |
testcase_10 | AC | 156 ms
82,972 KB |
testcase_11 | AC | 150 ms
83,072 KB |
testcase_12 | AC | 153 ms
83,120 KB |
testcase_13 | AC | 147 ms
82,956 KB |
testcase_14 | AC | 301 ms
114,696 KB |
testcase_15 | AC | 174 ms
86,768 KB |
testcase_16 | AC | 316 ms
118,892 KB |
testcase_17 | AC | 274 ms
111,872 KB |
testcase_18 | AC | 218 ms
93,416 KB |
testcase_19 | AC | 103 ms
81,164 KB |
testcase_20 | AC | 105 ms
81,344 KB |
testcase_21 | AC | 243 ms
104,828 KB |
testcase_22 | AC | 245 ms
98,712 KB |
testcase_23 | AC | 239 ms
95,632 KB |
testcase_24 | AC | 240 ms
95,716 KB |
testcase_25 | AC | 283 ms
110,424 KB |
testcase_26 | AC | 265 ms
103,088 KB |
testcase_27 | AC | 295 ms
113,624 KB |
testcase_28 | AC | 264 ms
102,528 KB |
testcase_29 | AC | 258 ms
108,484 KB |
testcase_30 | AC | 222 ms
97,420 KB |
testcase_31 | AC | 276 ms
113,912 KB |
testcase_32 | AC | 282 ms
110,996 KB |
testcase_33 | AC | 274 ms
105,884 KB |
testcase_34 | AC | 244 ms
101,800 KB |
testcase_35 | AC | 265 ms
105,740 KB |
testcase_36 | AC | 323 ms
118,980 KB |
testcase_37 | AC | 321 ms
119,156 KB |
testcase_38 | AC | 316 ms
118,848 KB |
testcase_39 | AC | 317 ms
118,968 KB |
testcase_40 | AC | 317 ms
118,580 KB |
testcase_41 | AC | 197 ms
86,812 KB |
testcase_42 | AC | 250 ms
114,456 KB |
ソースコード
from math import radians import sys,random input = lambda :sys.stdin.readline().rstrip() mi = lambda :map(int,input().split()) li = lambda :list(mi()) def cmb(n, r, mod): if ( r<0 or r>n ): return 0 return (g1[n] * g2[r] % mod) * g2[n-r] % mod mod = 998244353 N = 2*10**5 g1 = [1]*(N+1) g2 = [1]*(N+1) inverse = [1]*(N+1) for i in range( 2, N + 1 ): g1[i]=( ( g1[i-1] * i ) % mod ) inverse[i]=( ( -inverse[mod % i] * (mod//i) ) % mod ) g2[i]=( (g2[i-1] * inverse[i]) % mod ) inverse[0]=0 N,K = mi() M = int(input()) L = [-1 for r in range(K+1)] for _ in range(M): l,r = mi() L[r] = max(L[r],l) first = [0 for r in range(K+1)] for r in range(1,K+1): tmp = -1 for l in range(r,-1,-1): tmp = max(tmp,L[l]) if tmp<=l: first[r] = l else: break else: first[r] = 0 dp = [[0 for i in range(K+1)] for r in range(K+1)] cum = [[0 for i in range(K+1)] for r in range(K+1)] dp[0][0] = 1 cum[0][0] = 1 #print(first) for r in range(1,K+1): if first[r]==0: dp[r][0] = 1 cum[r][0] = cum[r-1][0] + 1 else: cum[r][0] = cum[r-1][0] for i in range(1,K+1): if first[r]<=1: dp[r][i] = cum[r-1][i-1] else: dp[r][i] = (cum[r-1][i-1] - cum[first[r]-2][i-1]) % mod cum[r][i] = (cum[r-1][i] + dp[r][i]) % mod #for l in range(first[r],r+1): #dp[r][i] += dp[l-1][i-1] #dp[r][i] %= mod #print(dp[K]) exp_poly = [0 for i in range(K+1)] for i in range(K+1): for j in range(i+1): if j&1: exp_poly[i-j] -= cmb(i,j,mod) * dp[K][i] % mod else: exp_poly[i-j] += cmb(i,j,mod) * dp[K][i] % mod exp_poly[i-j] %= mod res = 0 for i in range(K+1): res += exp_poly[i] * pow(i,N,mod) res %= mod print(res)