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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 |
---|---|---|---|---|---|---|---|---|---|
#769989 | #9553. The Hermit | heige# | AC ✓ | 81ms | 33556kb | C++14 | 1.6kb | 2024-11-21 20:11:14 | 2024-11-21 20:11:14 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
using namespace std;
const int kMaxN = 100005, kMod = 998244353;
int n, m;
int fac[kMaxN], ifac[kMaxN];
std::vector<int> d[kMaxN], f[kMaxN];
int res, ans;
int qpow(int a, int b) {
int res = 1;
while (b) {
if (b & 1) res = res * a % kMod;
a = a * a % kMod; b >>= 1;
}
return res;
}
int C(int n, int m) {
if (m < 0 || m > n) return 0;
return fac[n] * ifac[m] % kMod * ifac[n - m] % kMod;
}
void inc(int &x, int y) { x = (x + y) % kMod; }
void dec(int &x, int y) { x = (x + kMod - y) % kMod; }
void init(int n) {
fac[0] = ifac[0] = 1;
for (int i = 1; i <= n; i++) fac[i] = fac[i - 1] * i % kMod, ifac[i] = ifac[i - 1] * qpow(i, kMod - 2) % kMod;
for (int i = 1; i <= n; ++i) {
for (int j = 2 * i; j <= n; j += i)
d[j].emplace_back(i);
}
}
signed main() {
// freopen("in.txt", "r", stdin);
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
cin >> n >> m; init(n);
int ans = C(n, m) * m % kMod;
for (int i = 1; i <= n; ++i) {
f[i].resize(d[i].size() + 2);
f[i][1] = 1;
for (auto j : d[i]) {
for (int k = 1; k < f[j].size(); ++k)
inc(f[i][k + 1], f[j][k]);
}
for (int j = 1; j <= std::min((int)f[i].size() - 1, m); ++j) {
dec(ans, 1ll * f[i][j] * C(n / i - 1, m - j) % kMod);
// std::cerr << i << ' ' << j << ' ' << f[i][j] << '\n';
}
// std::cerr << i << ' ' << ans << '\n';
}
std::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: 8424kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 2ms
memory: 8776kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 71ms
memory: 33428kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 7ms
memory: 10996kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 64ms
memory: 33424kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 72ms
memory: 33472kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 63ms
memory: 33496kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 0ms
memory: 9712kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 2ms
memory: 8612kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 2ms
memory: 8800kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 8368kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 2ms
memory: 9292kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 2ms
memory: 8844kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 2ms
memory: 8944kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 3ms
memory: 9804kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 0ms
memory: 8960kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 0ms
memory: 8492kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 65ms
memory: 33420kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 17ms
memory: 16536kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 5ms
memory: 11028kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 8712kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 74ms
memory: 33556kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 71ms
memory: 33484kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 72ms
memory: 33484kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 7ms
memory: 10844kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 77ms
memory: 33492kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 68ms
memory: 33544kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 69ms
memory: 33424kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 72ms
memory: 33428kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 9ms
memory: 11376kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 67ms
memory: 33556kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 79ms
memory: 33536kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 75ms
memory: 33500kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 72ms
memory: 33500kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 66ms
memory: 33472kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 72ms
memory: 32064kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 71ms
memory: 31928kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 0ms
memory: 8560kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 1ms
memory: 8640kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 2ms
memory: 8500kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 2ms
memory: 9780kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 1ms
memory: 8292kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 1ms
memory: 8348kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 1ms
memory: 8636kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 8288kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 1ms
memory: 8836kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 45ms
memory: 25816kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 38ms
memory: 24288kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 44ms
memory: 24284kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 81ms
memory: 33440kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 67ms
memory: 33456kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 59ms
memory: 33508kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 73ms
memory: 33480kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed