Submission #222144

#	Time	Username	Problem	Language	Result	Execution time	Memory
222144		VEGAnn	새로운 문제 (COCI19_akvizna)	C++14	20 / 130	1596 ms	262144 KiB

Main

#include <bits/stdc++.h>
#define sz(x) ((int)x.size())
#define pii pair<int,int>
#define ft first
#define sd second
#define MP make_pair
#define all(x) x.begin(),x.end()
#define PB push_back
using namespace std;
typedef long long ll;
typedef long double ld;
const int N = 3010;
const ll OO = 1e18;
const ld E = 1e-9;
vector<int> vc;
ld f[N][N];
int n, k;
pii pr[N][N];

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

//    freopen("in.txt","r",stdin);

    cin >> n >> k;

    for (int i = 0; i <= k; i++)
        for (int j = 0; j <= n; j++)
            f[i][j] = -1.0;

    f[0][n] = 0.0;

    for (int i = 0; i < k; i++)
    for (int j = 1; j <= n; j++){
        if (f[i][j] < -E) continue;

//        for (int nw = j; nw > 0; nw--) {
        for (int nw = 0; nw <= j; nw++) {
            ld ad = f[i][j] + ld(nw) / ld(j);

            if (f[i + 1][j - nw] + E < ad) {
                f[i + 1][j - nw] = ad;
                pr[i + 1][j - nw] = MP(i, j);
            }
        }
    }

    int i = k, j = 0;

    while (j < n){
        vc.PB(j);
        pii nt = pr[i][j];
        i = nt.ft;
        j = nt.sd;
    }
    vc.PB(n);
    reverse(all(vc));

    cout << fixed << setprecision(10) << f[k][0];

    return 0;
}

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