Submission #670092

# Submission time Handle Problem Language Result Execution time Memory
670092 2022-12-08T06:04:59 Z radal Split the sequence (APIO14_sequence) C++17
100 / 100
945 ms 84252 KB
#include <bits/stdc++.h>
#pragma GCC target("sse,sse2,avx2")
#pragma GCC optimize("unroll-loops,O2")
#define rep(i,l,r) for (int i = l; i < r; i++)
#define repr(i,r,l) for (int i = r; i >= l; i--)
#define X first
#define Y second
#define all(x) (x).begin() , (x).end()
#define pb push_back
#define endl '\n'
#define debug(x) cerr << #x << " : " << x << endl;
using namespace std;
typedef long long ll;
typedef pair<ll,ll> pll;
constexpr int N = 1e5+10,mod = 1e9+7,maxm = 210;
constexpr ll inf = 1e18+10;
inline int mkay(int a,int b){
    if (a+b >= mod) return a+b-mod;
   // if (a+b < 0) return a+b+mod;
    return a+b;
}

inline int poww(int a,int k){
    if (k < 0) return 0;
    int z = 1;
    while (k){
        if (k&1) z = 1ll*z*a%mod;
        a = 1ll*a*a%mod;
        k >>= 1;
    } 
    return z; 
}

ll dp[2][N],ps[N];
int opt[maxm][N],a[N];
vector<int> ve;
vector<pll> baz;

ll bar(int i,int j,int k){
	return (dp[k][i]-ps[i]*ps[i]-dp[k][j]+ps[j]*ps[j]+ps[j]-ps[i]-1)/(ps[j]-ps[i]);
}

int main(){
	ios :: sync_with_stdio(0);	cin.tie(0);
	int n,k;
	cin >> n >> k;
	rep(i,1,n+1){
	   	cin >> a[i];
		ps[i] = ps[i-1]+a[i];
		dp[1][i] = 0;
	}
	k++;
	rep(i,2,k+1){
		bool d = i&1;
		ve.clear();
		baz.clear();
		ve.pb(0);
		baz.pb({0,inf});
		rep(j,1,n+1){
			int ind = lower_bound(all(baz),make_pair(ps[j]+1,0ll))-1-baz.begin();
			int x = ve[ind];
			opt[i][j] = x;
			dp[d][j] = dp[1-d][x]+ps[x]*(ps[j]-ps[x]);
			while (!ve.empty()){
				x = ve.back();
				if (ps[x] == ps[j]){
					if (dp[1-d][x]-ps[x]*ps[x] <= dp[1-d][j]-ps[j]*ps[j]){
						baz.pop_back();
						ve.pop_back();
						continue;
					}
					break;
				}
				ll tmp = bar(x,j,1-d);
				if (tmp <= baz.back().X){
					baz.pop_back();
					ve.pop_back();
					continue;
				}
				break;
			}
			if (ve.empty()){
				ve.pb(j);
				baz.pb({0,inf});
				continue;
			}
			x = ve.back();
			if (ps[x] == ps[j]) continue;
			ll tmp = bar(x,j,1-d);
			baz.back().Y = tmp;
			ve.pb(j);
			baz.pb({baz.back().Y,inf});
		}
	}
	cout << dp[k&1][n] << endl;
	vector<int> ans;
	int cur = n,cnt = k;
	while(cnt > 1){
		ans.pb(opt[cnt][cur]);
		cur = opt[cnt][cur];
		cnt--;
	}
	sort(all(ans));
	for (int u : ans) cout << u << ' ';
	cout << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 340 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 340 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 328 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 340 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 468 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 468 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 340 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1364 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 340 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1108 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1236 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1364 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 468 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 468 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 596 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 340 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 1996 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 336 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 2080 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1748 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2004 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 7 ms 2004 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 724 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 980 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 980 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 980 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 64 ms 9880 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 1108 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 55 ms 6124 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 80 ms 6996 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 60 ms 7576 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 56 ms 6348 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 57 ms 7124 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 78 ms 8932 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 21 ms 6356 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 22 ms 6472 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 719 ms 84252 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 21 ms 7232 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 945 ms 83552 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 801 ms 60080 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 650 ms 64628 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 613 ms 53644 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 590 ms 60472 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 754 ms 76052 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845