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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#251941 | #7774. 基础寄术练习题 | zhoukangyang | 100 ✓ | 207ms | 13136kb | C++11 | 2.1kb | 2023-11-15 13:32:36 | 2023-11-15 13:32:37 |
Judging History
answer
#include<bits/stdc++.h>
#define L(i, j, k) for(int i = (j); i <= (k); ++i)
#define R(i, j, k) for(int i = (j); i >= (k); --i)
#define ll long long
#define vi vector <int>
#define sz(a) ((int) (a).size())
#define me(f, x) memset(f, x, sizeof(f))
#define uint unsigned int
#define ull unsigned long long
#define i128 __int128
using namespace std;
const int N = 107;
int mod;
int qpow(int x, int y = mod - 2) {
int res = 1;
for(; y; x = (ll) x * x % mod, y >>= 1) if(y & 1) res = (ll) res * x % mod;
return res;
}
int fac[N], ifac[N], inv[N];
void init(int x) {
fac[0] = ifac[0] = inv[1] = 1;
L(i, 2, x) inv[i] = (ll) (mod - mod / i) * inv[mod % i] % mod;
L(i, 1, x) fac[i] = (ll) fac[i - 1] * i % mod, ifac[i] = (ll) ifac[i - 1] * inv[i] % mod;
}
int C(int x, int y) {
return x < y || y < 0 ? 0 : (ll) fac[x] * ifac[y] % mod * ifac[x - y] % mod;
}
inline int sgn(int x) {
return (x & 1) ? mod - 1 : 1;
}
int n, m, k;
namespace solve1 {
int dp[N], ndp[N];
void slv() {
dp[0] = 1;
L(i, 1, m) {
me(ndp, 0);
L(j, 0, i) {
(ndp[j] += dp[j]) %= mod;
(ndp[j + 1] += (ll) dp[j] * inv[i] % mod) %= mod;
}
swap(dp, ndp);
}
cout << dp[n] << '\n';
}
}
namespace solve2 {
int dp[2][N][N * N / 2];
int ndp[2][N][N * N / 2];
void slv() {
dp[0][0][0] = 1;
L(i, 1, m) {
me(ndp, 0);
L(o, 0, 1)
L(j, 0, i) L(k, 0, i * (i - 1) / 2) if(dp[o][j][k]) {
(ndp[o][j][k] += dp[o][j][k]) %= mod;
(ndp[o][j + 1][k + i] += mod - (ll) dp[o][j][k] * inv[i] % mod) %= mod;
(ndp[o][j + 1][k] += (ll) dp[o][j][k] * inv[i] % mod) %= mod;
}
L(j, 0, i) L(k, 0, i * (i - 1) / 2) if(dp[0][j][k]) {
(ndp[1][j + 1][k + i] += (ll)dp[0][j][k] * i % mod) %= mod;
}
swap(dp, ndp);
}
int ans = 0;
L(i, 1, m * (m + 1) / 2)
if(dp[1][n][i])
(ans += (ll) dp[1][n][i] * qpow(i) % mod) %= mod;
cout << ans << '\n';
}
/*
2 2 2 1000000007
*/
}
int main () {
ios :: sync_with_stdio(false);
cin.tie(0); cout.tie(0);
cin >> n >> m >> k >> mod;
init(m + 1);
if(k == 1) {
solve1 :: slv();
} else {
solve2 :: slv();
}
return 0;
}
Details
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Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 1ms
memory: 3556kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3512kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3400kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 8ms
memory: 13136kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 10ms
memory: 12956kb
input:
11 17 2 617904383
output:
393900291
result:
ok single line: '393900291'
Subtask #2:
score: 25
Accepted
Test #6:
score: 25
Accepted
time: 0ms
memory: 3340kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3356kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3512kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 15
Accepted
Test #11:
score: 15
Accepted
time: 16ms
memory: 12964kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 12ms
memory: 13132kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 16ms
memory: 12924kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 14ms
memory: 12964kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3392kb
input:
30 30 1 202836509
output:
158493990
result:
ok single line: '158493990'
Subtask #4:
score: 10
Accepted
Test #16:
score: 10
Accepted
time: 21ms
memory: 13072kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 15ms
memory: 12968kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 20ms
memory: 13080kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 15ms
memory: 13132kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3336kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 24ms
memory: 12920kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 26ms
memory: 12924kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 23ms
memory: 12956kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 23ms
memory: 12952kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3388kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 72ms
memory: 13004kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 76ms
memory: 12920kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 61ms
memory: 12916kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 80ms
memory: 12952kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3336kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 15
Accepted
Test #31:
score: 15
Accepted
time: 204ms
memory: 12964kb
input:
96 96 2 453296971
output:
222864385
result:
ok single line: '222864385'
Test #32:
score: 0
Accepted
time: 207ms
memory: 12964kb
input:
85 96 2 859572601
output:
457416092
result:
ok single line: '457416092'
Test #33:
score: 0
Accepted
time: 190ms
memory: 13076kb
input:
89 94 2 753918677
output:
366789523
result:
ok single line: '366789523'
Test #34:
score: 0
Accepted
time: 181ms
memory: 12964kb
input:
91 92 2 202806031
output:
64270709
result:
ok single line: '64270709'
Test #35:
score: 0
Accepted
time: 1ms
memory: 3308kb
input:
100 100 1 493945957
output:
109570004
result:
ok single line: '109570004'