Submission #989563

#	Time	Username	Problem	Language	Result	Execution time	Memory
989563		thdh__	Split the sequence (APIO14_sequence)	C++17	100 / 100	1543 ms	86104 KiB

sequence

#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")

#pragma GCC target("avx,avx2,fma")
#define ll long long
#define pb push_back
#define pu push
#define ins insert
#define bruh ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define ff(x,a,b,c) for (auto x=a;x<=b;x+=c)
#define fd(x,a,b,c) for (auto x=a;x>=b;x-=c)
#define int ll

using namespace std;

const int inf = 1e18;
const int N = 1e5+10;
int n,m;
int dp_before[N], dp_cur[N];
int pref[N];
int32_t btrk[N][210];
int s[N];

long long C(int i, int j)
{
	if (i>j) swap(i,j);
	int ans = (pref[j]-pref[i-1])*pref[i-1];
	return ans;
}

void compute(int l, int r, int optl, int optr,int i) {
    if (l > r) return;
    int mid = (l + r)/2;
    pair<int, int> best = {-inf, -1};
    for (int k = optl; k <= min(mid, optr); k++) {
        best = max(best, {dp_before[k-1] + C(k,mid), k});
    }
    btrk[mid][i] = best.second-1;
    dp_cur[mid] = best.first;
    int opt = best.second;
    compute(l, mid - 1, optl, opt,i);
    compute(mid + 1, r, opt, optr,i);
}

long long solve1() {
    for (int i = 1; i <= n; i++) dp_before[i] = C(1,i);
    for (int i = 2; i <= m+1; i++) {
        compute(1, n , 1, n, i);
        for(int i=0;i<=n;i++) dp_before[i] = dp_cur[i];
    }
    return dp_before[n];
}

void solve()
{
	cin>>n>>m;
	int sum = 0;
	for (int i=1;i<=n;i++) cin>>s[i],sum+=s[i];
	for (int i=1;i<=n;i++) pref[i] = pref[i-1]+s[i];;
	int ans = solve1();
	cout<<ans<<endl;
	int i=n,j=m+1;
	while(j>0){
		if(btrk[i][j]!=0) cout<<btrk[i][j]<<" ";
		i = btrk[i][j]; j--;
	}
}

signed main()
{
	bruh
	int t = 1;
	//cin>>t;
	while (t--)
	{
		solve();
		cout<<endl;
	}
}

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 21 / 21
• Subtask 6: 29 / 29