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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#283622 | #7774. 基础寄术练习题 | December456 | 85 | 806ms | 4252kb | C++14 | 1.9kb | 2023-12-14 22:26:40 | 2023-12-14 22:26:40 |
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];
void solve() {
int ans = 0;
for (int a1 = 1; a1 <= m; a1 ++) {
for (int i = 0; i <= m * (m + 1) / 2; i ++) {
for (int j = 0; j < n; j ++) {
f[i][j] = 0;
}
}
f[0][0] = 1;
for (int i = 1; i <= m; i ++) {
if (a1 == i) {
continue;
}
long long inv = inverse(i);
for (int j = i * (i + 1) / 2; j >= 0; j --) {
for (int k = n; k; k --) {
add(f[j][k], (f[j][k - 1] - (i > j ? 0 :
f[j - i][k - 1]) + p) * inv % p);
}
}
}
for (int i = 0; i <= m * (m + 1) / 2; i ++) {
add(ans, (long long) a1 * inverse(i + a1) % p * f[i][n - 1] % 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;
}
详细
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 1612kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 0ms
memory: 1648kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 0ms
memory: 1544kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 1ms
memory: 1584kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 1ms
memory: 1668kb
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: 1596kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 0ms
memory: 1540kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 0ms
memory: 1640kb
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: 1640kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 15
Accepted
Test #11:
score: 15
Accepted
time: 13ms
memory: 1784kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 13ms
memory: 1760kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 16ms
memory: 1784kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 16ms
memory: 1828kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 0ms
memory: 1616kb
input:
30 30 1 202836509
output:
158493990
result:
ok single line: '158493990'
Subtask #4:
score: 10
Accepted
Test #16:
score: 10
Accepted
time: 11ms
memory: 1736kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 12ms
memory: 1824kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 9ms
memory: 3672kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 11ms
memory: 3740kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 0ms
memory: 1616kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 37ms
memory: 1904kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 60ms
memory: 1916kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 36ms
memory: 1904kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 34ms
memory: 1864kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 0ms
memory: 1632kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 569ms
memory: 3580kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 623ms
memory: 2632kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 551ms
memory: 2504kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 806ms
memory: 4252kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 0ms
memory: 1640kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 0
Time Limit Exceeded
Test #31:
score: 0
Time Limit Exceeded
input:
96 96 2 453296971