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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 |
---|---|---|---|---|---|---|---|---|---|
#616273 | #6736. Alice and Bob | mojo__hugo# | AC ✓ | 116ms | 160000kb | C++20 | 1.5kb | 2024-10-06 00:32:21 | 2024-10-06 00:32:22 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define endl '\n'
#define ull unsigned long long
using PII = pair<int, int>;
using ld = long double;
const int N = 1e7 + 5, M = 998244353;
typedef __int128 lll;
istream &operator>>(istream &cin, lll &x) { x=0; static string s; cin>>s; for (char c:s) x=x*10+(c-'0'); return cin; }
ostream &operator<<(ostream &cout, lll x) { static char s[60]; int tp=1; s[0]='0'+(x%10); while (x/=10) s[tp++]='0'+(x%10); while (tp--) cout<<s[tp]; return cout; }
mt19937_64 rng{ chrono::steady_clock::now().time_since_epoch().count() };
ll fac[N + 5], inv[N + 5];
ll C(ll m, ll n) {
if (m > n)return 0;
return fac[n] * inv[n - m] % M * inv[m] % M;
}
ll A(ll m, ll n) {
if (m > n)return 0;
return fac[n] * inv[n - m] % M;
}
ll ksm(ll a, ll b = M - 2) {
ll s = 1;
for (; b > 0; b >>= 1, (a *= a) %= M)if (b & 1)(s *= a) %= M;
return s;
}
void init() {
fac[0] = inv[0] = 1;
for (int i = 1; i <= N; i++)fac[i] = fac[i - 1] * i % M;
inv[N - 1] = ksm(fac[N - 1]);
for (int i = N - 2; i > 0; i--)inv[i] = inv[i + 1] * (i + 1) % M;
}
void solve() {
ll n;
cin >> n;
ll ans = 0;
init();
for (int i = 1;i <= n;i++) {
ans = (ans + A(i - 1, n - i) * A(n - i, n - i)) % M;
// cout << ans << endl;
}
cout << ans;
}
signed main() {
ios::sync_with_stdio(0), cin.tie(0);
int tt = 1;
// cout << fixed << setprecision(5);
// cin >> tt;
while (tt--)solve();
}
详细
Test #1:
score: 100
Accepted
time: 88ms
memory: 159956kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 81ms
memory: 159900kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 78ms
memory: 159956kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 70ms
memory: 159808kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 69ms
memory: 159832kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 82ms
memory: 159888kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 81ms
memory: 159828kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 92ms
memory: 159832kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 88ms
memory: 159956kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 88ms
memory: 159872kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 75ms
memory: 159860kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 87ms
memory: 159828kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 80ms
memory: 159956kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 79ms
memory: 159808kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 104ms
memory: 159944kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 110ms
memory: 159872kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 87ms
memory: 159944kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 91ms
memory: 159996kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 106ms
memory: 159804kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 101ms
memory: 159928kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 116ms
memory: 160000kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 116ms
memory: 159828kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 112ms
memory: 159940kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"