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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 |
---|---|---|---|---|---|---|---|---|---|
#753925 | #9553. The Hermit | ucup-team5008# | AC ✓ | 356ms | 56252kb | C++20 | 2.3kb | 2024-11-16 13:53:41 | 2024-11-18 19:46:11 |
Judging History
answer
#include<bits/stdc++.h>
#define rep2(i,j,k) for(ll i = ll(j); i < ll(k); i++)
#define rep(i,k) rep2(i,0,k)
#define rrep2(i,j,k) for(ll i = ll(j)-1; i >= ll(k); i--)
#define rrep(i,k) rrep2(i,k,0)
#define SZ(a) ll(a.size())
#define eb emplace_back
#define all(a) a.begin(), a.end()
using namespace std;
using ll = long long;
using P = pair<ll,ll>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vp = vector<P>;
using vvp = vector<vp>;
bool chmax(auto& a, auto b) {return a < b ? a = b, 1 : 0; }
bool chmin(auto& a, auto b) {return a > b ? a = b, 1 : 0; }
const int mod = 998244353;
struct mint {
ll x;
mint(ll x = 0): x((x%mod+mod)%mod) {}
mint &operator+=(const mint &a) { if((x += a.x) >= mod) x -= mod; return *this; }
mint &operator-=(const mint &a) { if((x += mod-a.x) >= mod) x -= mod; return *this; }
mint &operator*=(const mint &a) { (x *= a.x) %= mod; return *this; }
mint operator+(const mint &a) { return mint(*this) += a; }
mint operator-(const mint &a) { return mint(*this) -= a; }
mint operator*(const mint &a) { return mint(*this) *= a; }
mint pow(ll t) {
mint res(1), a(*this);
while(t) {
if(t&1) res *= a;
a *= a;
t >>= 1;
}
return res;
}
mint inv() { return pow(mod-2); }
};
using vm = vector<mint>;
using vvm = vector<vm>;
const int C = 100010;
mint fac[C+1], ifac[C+1];
mint binom(int n, int k) {
assert(0 <= n and n <= C);
if(k < 0 or k > n) return 0;
return fac[n] * ifac[k] * ifac[n-k];
}
mint sub[20][100010];
mint sup[20][100010];
int main(){
cin.tie(0) -> sync_with_stdio(0);
fac[0] = 1;
rep(i, C) fac[i+1] = fac[i] * (i+1);
ifac[C] = fac[C].inv();
rrep(i, C) ifac[i] = ifac[i+1] * (i+1);
int n, m;
cin >> m >> n;
vvl div(m+1);
rep2(i, 1, m+1) div[i].eb(0);
rep2(i, 1, m+1) for(int j = i; j <= m; j += i) div[j].eb(i);
sub[0][0] = 1;
rep2(k, 1, 20) rep2(i, 1, m+1) for(int j : div[i]) if(j < i) sub[k][i] += sub[k-1][j];
rep(k, 20) {
if(k >= n) break;
rrep2(i, m+1, 1) {
sup[k][i] = binom(m/i, n-k);
for(int j = 2*i; j <= m; j += i) sup[k][i] -= sup[k][j];
}
rep2(i, 1, m+1) {
sup[k][i] -= binom(m/i-1, n-k-1);
}
}
mint ans;
rep(k, 20) {
if(k >= n) break;
rep2(i, 1, m+1) {
mint now;
for(int j : div[i]) now += sub[k][j];
//cerr << k << ' ' << i << ' ' << now.x << ' ' << sup[k][i].x << endl;
now *= sup[k][i];
ans += now * (n-k);
}
}
cout << ans.x << endl;
}
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: 36600kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 3ms
memory: 36316kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 356ms
memory: 56112kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 22ms
memory: 38044kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 341ms
memory: 56184kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 164ms
memory: 56228kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 294ms
memory: 56164kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 0ms
memory: 36384kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 9ms
memory: 36376kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 0ms
memory: 36324kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 6ms
memory: 36388kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 3ms
memory: 36312kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 0ms
memory: 36280kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 0ms
memory: 36484kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 5ms
memory: 36708kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 3ms
memory: 36464kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 5ms
memory: 36548kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 336ms
memory: 56120kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 70ms
memory: 42384kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 23ms
memory: 38216kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 36604kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 344ms
memory: 56176kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 339ms
memory: 56056kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 325ms
memory: 56172kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 13ms
memory: 38092kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 172ms
memory: 56180kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 160ms
memory: 56056kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 349ms
memory: 56160kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 334ms
memory: 56136kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 28ms
memory: 38344kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 280ms
memory: 56092kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 290ms
memory: 56056kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 261ms
memory: 56080kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 328ms
memory: 56252kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 355ms
memory: 56092kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 310ms
memory: 54836kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 316ms
memory: 54904kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 6ms
memory: 36616kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 36384kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 36320kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 6ms
memory: 36612kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 9ms
memory: 36380kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 36600kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 6ms
memory: 36380kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 36312kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 36392kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 194ms
memory: 49788kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 169ms
memory: 48732kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 171ms
memory: 48732kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 332ms
memory: 56144kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 341ms
memory: 56120kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 181ms
memory: 56084kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 286ms
memory: 56060kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed