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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#775084 | #9553. The Hermit | TangWK | AC ✓ | 71ms | 15840kb | C++20 | 1.8kb | 2024-11-23 14:40:50 | 2024-11-23 14:40:56 |
Judging History
answer
#include <bits/stdc++.h>
const int mod = 998244353;
void solve() {
int m, n;
std::cin >> m >> n;
auto q_pow = [&] (int x, int p, int mod) {
int ret = 1;
while(p) {
if(p & 1) {
ret = (1ll * ret * x) % mod;
}
x = (1ll * x * x) % mod;
p >>= 1;
}
return ret;
};
std::vector<int> fac(m + 1);
std::vector<int> inv_fac(m + 1);
fac[0] = 1;
for (int i = 1; i <= m; ++i) {
fac[i] = (1ll * fac[i - 1] * i) % mod;
}
inv_fac[m] = q_pow(fac[m], mod - 2, mod);
for (int i = m; i >= 1; --i) {
inv_fac[i - 1] = (1ll * inv_fac[i] * i) % mod;
}
auto C = [&] (int n, int m) {
if(n < m) {
// return 0ll;
return 0ll;
}
int tmp_up = fac[n];
int tmp_down = (1ll * inv_fac[m] * inv_fac[n - m]) % mod;
return (1ll * tmp_up * tmp_down) % mod;
};
std::vector<std::vector<int>> dp(m + 1, std::vector<int>(20));
for (int i = 1; i <= m; ++i) {
dp[i][1] = 1;
for (int j = 1; j * j <= i && j < i; ++j) {
if(i % j == 0) {
int tmp = i / j;
for (int k = 2; k <= 17; ++k) {
if (dp[j][k - 1] > 0) {
dp[i][k] += dp[j][k - 1];
}
}
if (tmp > j && tmp < i) {
for (int k = 2; k <= 17; ++k) {
if (dp[tmp][k - 1] > 0) {
dp[i][k] += dp[tmp][k - 1];
}
}
}
}
}
}
int ans = (1ll * n * C(m, n)) % mod;
for (int i = 1; i <= m; ++i) {
int tmp = 0;
for (int k = 1; k <= 17 && k <= n; ++k) {
// printf("{%d, %d} = %d\n", i, k, dp[i][k]);
tmp = (0ll + tmp + 1ll * dp[i][k] * C(m / i - 1, n - k)) % mod;
}
// printf("tmp = %d, ans = %d\n", tmp, ans);
ans = (0ll + mod + ans - tmp) % mod;
}
std::cout << ans << "\n";
return;
}
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(nullptr);
int t = 1;
// std::cin >> t;
while(t--) {
solve();
}
return 0;
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3528kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 67ms
memory: 15628kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 5ms
memory: 4660kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 62ms
memory: 15660kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 60ms
memory: 15772kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 68ms
memory: 15720kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3652kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 67ms
memory: 15684kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 18ms
memory: 7496kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 5ms
memory: 4652kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 63ms
memory: 15764kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 66ms
memory: 15780kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 63ms
memory: 15712kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 4ms
memory: 4360kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 61ms
memory: 15668kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 69ms
memory: 15708kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 71ms
memory: 15680kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 71ms
memory: 15760kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 3ms
memory: 4608kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 63ms
memory: 15768kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 67ms
memory: 15704kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 67ms
memory: 15672kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 62ms
memory: 15776kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 66ms
memory: 15704kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 61ms
memory: 14904kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 65ms
memory: 14976kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 3528kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 38ms
memory: 12020kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 37ms
memory: 11236kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 37ms
memory: 11192kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 67ms
memory: 15452kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 68ms
memory: 15428kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 68ms
memory: 15508kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 67ms
memory: 15840kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed