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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 |
---|---|---|---|---|---|---|---|---|---|
#772614 | #9553. The Hermit | sky10w | AC ✓ | 1331ms | 4508kb | C++17 | 1.9kb | 2024-11-22 20:44:38 | 2024-11-22 20:44:39 |
Judging History
answer
#pragma GCC optimize(3)
#include <bits/stdc++.h>
#ifndef ONLINE_JUDGE
#include "../../dbg.h"
#else
#define dbg(...) (__VA_ARGS__)
#endif
#define IOS_FAST ios::sync_with_stdio(false), cin.tie(0);
using namespace std;
using ll = long long;
// #define int ll
constexpr int MOD = 998244353;
constexpr int MAXN = 1e5 + 10;
int nn[MAXN];
int rr[MAXN];
int mod(ll x) { return (x % MOD + MOD) % MOD; }
int qpow(int a, int b)
{
int ans = 1;
int res = mod(a);
for (; b; b >>= 1)
{
if (b & 1)
{
ans = ((ll)res * (ll)ans) % MOD;
}
res = ((ll)res * (ll)res) % MOD;
}
return ans;
}
int getinv(int x)
{
return qpow(x, MOD - 2);
}
void pre()
{
nn[0] = 1;
for (int i = 1; i < MAXN; ++i)
{
nn[i] = ((ll)nn[i - 1] * i) % MOD;
}
rr[MAXN - 1] = getinv(nn[MAXN - 1]);
rr[0] = 1;
for (int i = MAXN - 2; i >= 1; --i)
{
rr[i] = ((ll)rr[i + 1] * (i + 1)) % MOD;
}
}
int getC(int u, int v)
{
if (u < v) return 0;
assert(u >= 0 && v >= 0);
return ((ll)nn[u] * (ll)rr[v]) % MOD * rr[u - v] % MOD;
}
int ans;
void dfs(int num, int time, const int m, const int n)
{
if (n <= time)
{
// cerr << num << ": " << 1 << '\n';
ans = ((ll)ans + 1) % MOD;
return;
}
for (int i = 2; i <= m; ++i)
{
if (num * i > m) break;
const int cnt = (m / num - (num * i) / num);
const int tmp = getC(cnt, n - time - 1);
// cerr << num << ": " << tmp << '\n';
ans = ((ll)ans + tmp) % MOD;
dfs(num * i, time + 1, m, n);
}
}
signed main()
{
IOS_FAST;
pre();
int m, n;
cin >> m >> n;
ans = 0;
for (int i = 1; i <= m; ++i)
{
dfs(i, 1, m, n);
}
// dbg(ans, m, n);
ans = mod((ll)getC(m, n) * n - ans);
cout << ans << '\n';
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: 2ms
memory: 4488kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 2ms
memory: 4428kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 1253ms
memory: 4484kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 29ms
memory: 4488kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 1253ms
memory: 4368kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 2ms
memory: 4452kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 1331ms
memory: 4432kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 2ms
memory: 4372kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 2ms
memory: 4372kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 0ms
memory: 4376kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 1ms
memory: 4420kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 0ms
memory: 4444kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 1ms
memory: 4508kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 2ms
memory: 4372kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 3ms
memory: 4432kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 2ms
memory: 4448kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 2ms
memory: 4408kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 1270ms
memory: 4448kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 194ms
memory: 4368kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 36ms
memory: 4484kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 2ms
memory: 4452kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 1263ms
memory: 4504kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 1252ms
memory: 4376kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 1252ms
memory: 4488kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 25ms
memory: 4380kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 9ms
memory: 4368kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 45ms
memory: 4452kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 1254ms
memory: 4444kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 1253ms
memory: 4372kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 37ms
memory: 4456kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 1302ms
memory: 4376kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 1303ms
memory: 4456kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 1306ms
memory: 4368kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 1304ms
memory: 4352kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 1253ms
memory: 4504kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 1132ms
memory: 4376kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 1131ms
memory: 4452kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 2ms
memory: 4428kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 2ms
memory: 4456kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 1ms
memory: 4460kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 1ms
memory: 4436kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 1ms
memory: 4312kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 1ms
memory: 4368kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 1ms
memory: 4416kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 1ms
memory: 4488kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 1ms
memory: 4496kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 688ms
memory: 4364kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 627ms
memory: 4448kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 624ms
memory: 4420kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 1257ms
memory: 4428kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 1252ms
memory: 4332kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 6ms
memory: 4432kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 1252ms
memory: 4452kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed