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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#364531 | #3161. Another Coin Weighing Puzzle | chuchu# | WA | 11ms | 29640kb | C++23 | 1.8kb | 2024-03-24 15:06:01 | 2024-03-24 15:06:03 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define debug(x) cerr << #x << " == " << x << endl
#define int long long
#define el '\n'
#define fir first
#define sec second
typedef long long ll;
typedef pair<int, int> PII;
const int mod = 998244353;
const int inf = 0x3f3f3f3f;
const int N = 1000020;
ll phi[N], vis[N], prime[N];
ll sum[N];
void solve()
{
int n, k;
cin >> n >> k;
vector<ll> ans(n + 1, 0), fac(n + 1, 1);
vector<ll> dp0(n + 1, 0), dp2(n + 1, 0), dp1(n + 1, 0);
ll cnt = sum[k];
for (int i = 1; i <= n; i++) {
fac[i] = fac[i - 1] * (2 * k + 1) % mod;
}
// cout << cnt << endl;
dp0[1] = 3, dp1[1] = 2 * cnt + 1, dp2[1] = fac[1];
for (int m = 2; m <= n; m++) {
dp0[m] = (dp0[m - 1] + 2 * dp1[m - 1]) % mod;
dp1[m] = (2 * cnt * dp2[m - 1] + dp1[m - 1]) % mod;
dp2[m] = fac[m];
}
cout << dp0[n] << el;
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int T = 1;
// cin >> T;
phi[1] = 1;
int cnt = 0;
for (int i = 2; i <= 1000000; i++) {
if (!vis[i]) {
vis[i] = i;
prime[cnt++] = i;
phi[i] = i - 1;
}
for (int j = 0; j < cnt; j++) {
if (i * prime[j] > 1000000)
break;
vis[i * prime[j]] = prime[j];
if (i % prime[j] == 0) {
phi[i * prime[j]] = phi[i] * prime[j];
break;
}
phi[i * prime[j]] = phi[i] * phi[prime[j]];
}
}
sum[1] = 1;
for (int i = 2; i <= 1000000; i++) {
sum[i] = (sum[i - 1] + phi[i] * 2) % mod;
}
while (T--) {
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 11ms
memory: 29640kb
input:
2 1
output:
9
result:
ok single line: '9'
Test #2:
score: 0
Accepted
time: 4ms
memory: 28848kb
input:
2 2
output:
17
result:
ok single line: '17'
Test #3:
score: -100
Wrong Answer
time: 7ms
memory: 27956kb
input:
10000 10000
output:
990125989
result:
wrong answer 1st lines differ - expected: '689223145', found: '990125989'