Submission #367396

# Submission time Handle Problem Language Result Execution time Memory
367396 2021-02-17T07:05:40 Z Bill_00 Split the sequence (APIO14_sequence) C++14
100 / 100
1598 ms 81588 KB
#include <bits/stdc++.h>
typedef long long ll;
#define MOD 1000000007
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define pp push
using namespace std;
ll sum[100001];
ll f[2][100001];
int p[201][100001];
ll cost(ll x,ll y){
	if(x>y) return 0;
	ll z=sum[y]-sum[x-1];
	return z*z;
}
void fill(int id,ll l1,ll l2,int p1,int p2){
	if(l1>l2){
		return;
	}
	ll lm=l1+l2>>1;
	p[id-1][lm]=-1;
	f[1][lm]=-1;
	for(ll i=p1;i<=p2;i++){
		if(lm<=i){
			break;
		}
		ll new_cost=f[0][i]+cost(i+1,lm);
      	if(f[1][lm]==-1){
        	f[1][lm]=new_cost;
        	p[id-1][lm]=i;
        } 
		if(f[1][lm]>new_cost){
			f[1][lm]=new_cost;
			p[id-1][lm]=i;
		}
	}
	fill(id,l1,lm-1,p1,p[id-1][lm]);
	fill(id,lm+1,l2,p[id-1][lm],p2);
}
vector<ll>ans;
int main(){
	//int color[200001];
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	ll n,k;
	cin >> n >> k;
	k++;
	sum[0]=0;
	for(ll i=1;i<=n;i++){
		ll a;
		cin >> a;
		sum[i]=sum[i-1]+a;
	}
	for(ll i=1;i<=n;i++){
		f[0][i]=sum[i]*sum[i];
		p[0][i]=0;
	}
	for(ll i=2;i<=k;i++){
		fill(i,i,n,i-1,n);
		for(ll j=1;j<=n;j++){
			f[0][j]=f[1][j];
		}
	}
	int trans=n;
	ll hariu=(sum[n]*sum[n]-f[0][n])/2;
	cout << hariu << "\n";
	for(ll i=k;i>=2;i--){
		ans.pb(p[i-1][trans]);
		trans=p[i-1][trans];
	}
	for(ll i=ans.size()-1;i>=0;i--){
		cout << ans[i] << ' ';
	}
}

Compilation message

sequence.cpp: In function 'void fill(int, ll, ll, int, int)':
sequence.cpp:22:10: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   22 |  ll lm=l1+l2>>1;
      |        ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 364 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 364 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 364 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 364 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 364 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 364 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 364 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 364 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 364 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 364 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 364 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 364 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 364 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 364 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 364 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 620 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 364 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 364 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 364 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 492 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 364 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 364 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 364 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 364 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1388 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 364 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1132 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1260 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1388 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 620 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 492 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 620 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 364 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 2028 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 364 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 2028 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1772 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 2028 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2028 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 748 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1004 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 748 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 748 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 77 ms 9324 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 748 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 83 ms 5868 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 80 ms 6764 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 73 ms 7148 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 52 ms 5996 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 75 ms 6764 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 95 ms 8428 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 31 ms 4352 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 28 ms 4204 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 847 ms 81588 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 4332 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1598 ms 81564 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 955 ms 58220 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 835 ms 62444 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 629 ms 51360 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 864 ms 58220 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1077 ms 74068 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845