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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 |
---|---|---|---|---|---|---|---|---|---|
#779977 | #9553. The Hermit | zlxFTH | AC ✓ | 34ms | 12236kb | C++17 | 2.0kb | 2024-11-24 23:16:51 | 2024-11-24 23:16:52 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using LL = long long;
constexpr int P = 998244353;
struct Mint {
int v;
Mint(int x = 0) : v(x) {v += v >> 31 & P;}
int val() const {return v;}
Mint operator-() const {return -v;}
Mint &operator+=(const Mint &b) {
v += b.v - P, v += v >> 31 & P;
return *this;
}
Mint &operator-=(const Mint &b) {
v -= b.v, v += v >> 31 & P;
return *this;
}
Mint &operator*=(const Mint &b) {
v = LL(v) * b.v % P;
return *this;
}
Mint &operator/=(const Mint &b) {
return *this *= b.inv();
}
friend Mint operator+(Mint a, const Mint &b) {return a += b;}
friend Mint operator-(Mint a, const Mint &b) {return a -= b;}
friend Mint operator*(Mint a, const Mint &b) {return a *= b;}
friend Mint operator/(Mint a, const Mint &b) {return a /= b;}
Mint inv() const {return this->pow(P - 2);}
Mint pow(LL b) const {
Mint a = *this, c = 1;
while (b) {
if (b & 1) c *= a;
a *= a;
b /= 2;
}
return c;
}
friend ostream &operator<<(ostream &os, const Mint &a) {
return os << a.v;
}
};
vector<Mint> fac, ifac, inv;
void initFact(int n) {
fac.resize(n + 1), ifac.resize(n + 1);
inv.resize(n + 1);
fac[0] = 1;
for (int i = 1; i <= n; i++) fac[i] = fac[i - 1] * i;
ifac[n] = fac[n].inv();
for (int i = n; i; i--) {
ifac[i - 1] = ifac[i] * i;
inv[i] = ifac[i] * fac[i - 1];
}
}
inline Mint binom(int n, int m) {
if (n < m || m < 0) return 0;
return fac[n] * ifac[m] * ifac[n - m];
}
int main() {
cin.tie(0)->sync_with_stdio(0);
initFact(1e5);
int m, n;
cin >> m >> n;
Mint ans = Mint(m) * binom(m - 1, n - 1);
vector<array<Mint, 20>> f(m + 1);
for (int i = 1; i <= m; i++) {
f[i][1] = 1;
for (int j = 2 * i; j <= m; j += i) {
for (int k = 1; k + 1 < 20; k++) {
f[j][k + 1] += f[i][k];
}
}
for (int k = 1; k <= min(19, n); k++) {
ans -= f[i][k] * binom(m / i - 1, n - k);
}
}
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: 4268kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 2ms
memory: 4372kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 29ms
memory: 12208kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 4ms
memory: 5232kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 33ms
memory: 12084kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 30ms
memory: 12064kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 29ms
memory: 12120kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 2ms
memory: 4376kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 2ms
memory: 4524kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 0ms
memory: 4492kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 4516kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 2ms
memory: 4344kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 2ms
memory: 4324kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 2ms
memory: 4460kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 2ms
memory: 4448kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 2ms
memory: 4232kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 2ms
memory: 4456kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 33ms
memory: 12236kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 7ms
memory: 6944kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 0ms
memory: 5232kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 2ms
memory: 4404kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 29ms
memory: 12232kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 32ms
memory: 12108kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 32ms
memory: 12068kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 4ms
memory: 5236kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 30ms
memory: 12100kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 30ms
memory: 12160kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 29ms
memory: 12124kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 32ms
memory: 12084kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 4ms
memory: 5416kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 30ms
memory: 12156kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 30ms
memory: 12224kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 34ms
memory: 12076kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 34ms
memory: 12144kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 29ms
memory: 12236kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 27ms
memory: 11548kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 26ms
memory: 11572kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 2ms
memory: 4444kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 2ms
memory: 4360kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 4320kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 2ms
memory: 4488kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 2ms
memory: 4356kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 2ms
memory: 4356kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 2ms
memory: 4452kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 2ms
memory: 4408kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 2ms
memory: 4408kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 23ms
memory: 9992kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 21ms
memory: 9588kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 22ms
memory: 9464kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 29ms
memory: 12088kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 29ms
memory: 12156kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 27ms
memory: 12172kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 32ms
memory: 12232kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed