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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#283757 | #7774. 基础寄术练习题 | December456 | 100 ✓ | 172ms | 5476kb | C++14 | 1.8kb | 2023-12-15 13:17:18 | 2023-12-15 13:17:19 |
Judging History
answer
#include <cstdio>
constexpr int maxn = 100 + 5;
int n, m, p;
inline void add(int& x, int y) {
(x += y) >= p && (x -= p);
}
int quick_power(int x, int k) {
int ret = 1;
for (;;) {
if (k & 1) {
ret = (long long) ret * x % p;
}
if (!(k >>= 1)) {
break;
}
x = (long long) x * x % p;
}
return ret;
}
int inverse(int x) {
return quick_power(x, p - 2);
}
namespace Case1 {
int f[maxn];
void solve() {
f[0] = 1;
for (int i = 1; i <= m; i ++) {
long long inv = inverse(i);
for (int j = n; j; j --) {
add(f[j], f[j - 1] * inv % p);
}
}
printf("%d\n", f[n]);
}
}
namespace Case2 {
int f[maxn][maxn * maxn][2];
void solve() {
int ans = 0;
f[0][0][0] = 1;
for (int i = 1; i <= m; i ++) {
long long inv = inverse(i);
for (int j = n; j; j --) {
for (int k = i * (i + 1) / 2; k >= 0; k --) {
for (int op = 0; op < 2; op ++) {
add(f[j][k][op], (f[j - 1][k][op] + (i <= k ?
p - f[j - 1][k - i][op] : 0)) * inv % p);
}
if (i <= k) {
add(f[j][k][1], (long long) f[j - 1][k - i][0] * i % p);
}
}
}
}
for (int i = 0; i <= m * (m + 1) / 2; i ++) {
add(ans, (long long) f[n][i][1] * inverse(i) % p);
}
printf("%d\n", ans);
}
}
int main() {
int k;
scanf("%d%d%d%d", &n, &m, &k, &p);
if (k == 1) {
Case1::solve();
} else {
Case2::solve();
}
return 0;
}
Details
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Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 1608kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 0ms
memory: 1612kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 0ms
memory: 1608kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 0ms
memory: 1628kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 0ms
memory: 1672kb
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: 1536kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 0ms
memory: 1532kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 0ms
memory: 1584kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 0ms
memory: 1536kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 0ms
memory: 1608kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 15
Accepted
Test #11:
score: 15
Accepted
time: 2ms
memory: 1800kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 2ms
memory: 1748kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 2ms
memory: 1876kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 2ms
memory: 1836kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 0ms
memory: 1652kb
input:
30 30 1 202836509
output:
158493990
result:
ok single line: '158493990'
Subtask #4:
score: 10
Accepted
Test #16:
score: 10
Accepted
time: 2ms
memory: 1844kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 2ms
memory: 1796kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 1ms
memory: 1780kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 1ms
memory: 1704kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 0ms
memory: 1568kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 4ms
memory: 1820kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 5ms
memory: 1972kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 4ms
memory: 1824kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 4ms
memory: 1944kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 0ms
memory: 1608kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 35ms
memory: 2832kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 36ms
memory: 2720kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 30ms
memory: 2816kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 46ms
memory: 3052kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 0ms
memory: 1644kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 15
Accepted
Test #31:
score: 15
Accepted
time: 172ms
memory: 5476kb
input:
96 96 2 453296971
output:
222864385
result:
ok single line: '222864385'
Test #32:
score: 0
Accepted
time: 154ms
memory: 4952kb
input:
85 96 2 859572601
output:
457416092
result:
ok single line: '457416092'
Test #33:
score: 0
Accepted
time: 150ms
memory: 5040kb
input:
89 94 2 753918677
output:
366789523
result:
ok single line: '366789523'
Test #34:
score: 0
Accepted
time: 139ms
memory: 4956kb
input:
91 92 2 202806031
output:
64270709
result:
ok single line: '64270709'
Test #35:
score: 0
Accepted
time: 0ms
memory: 1564kb
input:
100 100 1 493945957
output:
109570004
result:
ok single line: '109570004'