Submission #260520

# Submission time Handle Problem Language Result Execution time Memory
260520 2020-08-10T12:40:28 Z shayan_p Split the sequence (APIO14_sequence) C++14
100 / 100
1448 ms 82808 KB
// And you curse yourself for things you never done

#include<bits/stdc++.h>

#define F first
#define S second
#define PB push_back
#define sz(s) int((s).size())
#define bit(n,k) (((n)>>(k))&1)

using namespace std;

typedef long long ll;
typedef pair<int,int> pii;

const int maxn = 1e5 + 10, maxk = 210, mod = 1e9 + 7;
const ll inf = 1e18 + 10;

int a[maxn];
ll dp[maxn], divi[maxn], cst[maxn], sm[maxn], sm2[maxn];
int restore[maxk][maxn], bef[maxn];

ll f(int l, int r){
    return 1ll * (sm[r] - sm[l-1]) * (sm[r] - sm[l-1]) - (sm2[r] - sm2[l-1]) + dp[l-1];
}
void solve(int l, int r, int L, int R){
    if(l > r)
	return;
    int mid = (l+r) >> 1;
    divi[mid] = inf;
    int pos = -1;
    for(int i = min(mid, R); i >= L; i--){
	ll num = f(i, mid);
	if(num < divi[mid])
	    divi[mid] = num, pos = i;
    }
    bef[mid] = pos - 1;
    solve(l, mid-1, L, pos);
    solve(mid+1, r, pos, R);
}
    
int main(){
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie();

    int n, k;
    cin >> n >> k;
    ++k;
    for(int i = 1; i <= n; i++){
	cin >> a[i];
	sm[i] = sm[i-1] + a[i];
	sm2[i] = sm2[i-1] + 1ll * a[i] * a[i];
    }
    for(int i = 1; i <= n; i++){
	dp[i] = sm[i] * sm[i] - sm2[i];	
    }
    for(int i = 2; i <= k; i++){
	solve(1, n, 1, n);
	memcpy(dp, divi, sizeof dp);
	memcpy(restore[i], bef, sizeof bef);
    }
    ll ANS = (1ll * sm[n] * sm[n] - sm2[n] - dp[n]) / 2;
    vector<int> v;
    int tmp = n;
    for(int i = k; i >= 2; i--){
	tmp = restore[i][tmp];
	v.PB(tmp);
    }
    reverse(v.begin(), v.end());
    cout << ANS << "\n";
    for(int x : v){
	cout << x << " ";
    }
    return cout << endl, 0;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2304 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 1920 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 1536 KB contestant found the optimal answer: 0 == 0
4 Correct 3 ms 3072 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 4736 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 1536 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 1536 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 1536 KB contestant found the optimal answer: 1 == 1
9 Correct 3 ms 2304 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 3 ms 2304 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 3 ms 2304 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 3 ms 2688 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 4 ms 2688 KB contestant found the optimal answer: 140072 == 140072
14 Correct 3 ms 2304 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 3 ms 2688 KB contestant found the optimal answer: 805 == 805
16 Correct 3 ms 2304 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 3 ms 2688 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2304 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 3 ms 2304 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 19 ms 20352 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 3 ms 2304 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 5120 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 4 ms 3840 KB contestant found the optimal answer: 933702 == 933702
7 Correct 11 ms 11008 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 7 ms 5504 KB contestant found the optimal answer: 687136 == 687136
9 Correct 4 ms 3840 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 7 ms 6656 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2304 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 2304 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 70 ms 79096 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 3 ms 2304 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 51 ms 55928 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 65 ms 71672 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 70 ms 79096 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 18 ms 18432 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 12 ms 12160 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 21 ms 23032 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2304 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 2304 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 75 ms 79096 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 2432 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 78 ms 79452 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 66 ms 67704 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 87 ms 79508 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 75 ms 79484 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 18 ms 16896 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 33 ms 32504 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 2592 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 2720 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 147 ms 79736 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 2688 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 119 ms 48504 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 119 ms 56312 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 120 ms 60152 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 91 ms 49260 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 116 ms 56248 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 149 ms 72060 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 36 ms 5500 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 35 ms 5528 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 842 ms 82808 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 28 ms 5500 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1448 ms 82664 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 899 ms 59256 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 816 ms 63224 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 606 ms 52180 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 797 ms 59156 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1012 ms 74900 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845