Submission #717086

# Submission time Handle Problem Language Result Execution time Memory
717086 2023-04-01T05:24:10 Z pragmatist Split the sequence (APIO14_sequence) C++17
100 / 100
1467 ms 81740 KB
#include <bits/stdc++.h>                     
  
#define ll long long 
#define pb push_back
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define sz(v) (int)v.size()
#define x first
#define y second
#define nl "\n"
  
using namespace std;
  
const int N = (int)1e5 + 7;
const int M = (int)2e6 + 5e5 + 7;
const ll MOD = (ll)1e9;                    
const int inf = (int)1e9 + 7;
const int B = (int)390;
const ll INF = (ll)1e18 + 7;
  
pair<int, int> dir[] = {{-1, 0}, {1, 0}, {0, 1}, {0, -1}};
 
bool bit(int mask, int i) {
    return (mask >> i & 1);
}
  
int sum(int x, int y) {
    x += y;
    if(x >= MOD) x -= MOD;
    return x;
}
  
int mult(int x, int y) {
    return 1ll * x * y % MOD;
}

int n, k, cr, a[N], p[N][201];
ll dp[2][N], suf[N];

void calc(int l, int r, int tl, int tr) {
    if(l > r)
        return;
    int mid = (l + r) >> 1, x = l;
    dp[1][mid] = -INF;
    for(int i = tl; i <= min(mid, tr); ++i) {
        ll cur = dp[0][i - 1] + (suf[i] - suf[mid + 1]) * suf[mid + 1];
        if(cur > dp[1][mid]) {
            dp[1][mid] = cur;
            p[mid][cr] = i - 1;
            x = i;
        }
    }
    calc(l, mid - 1, tl, x);
    calc(mid + 1, r, x, tr);
}

void solve() {
	cin >> n >> k;
	for(int i = 1; i <= n; ++i) cin >> a[i];
	for(int i = n; i >= 1; --i) suf[i] = suf[i + 1] + a[i];
	ll ans = -INF;                                                          
	int lst = -1;
	for(int i = 0; i < 2; ++i) {
		for(int j = 0; j <= n; ++j) {
			dp[i][j] = -INF;
		}
	}
	dp[0][0] = 0;
	for(int i = 1; i <= k; ++i) {
	    cr = i;
	    calc(1, n, 1, n);
	    if(i == k) {
	        for(int j = 1; j <= n; ++j) {
	            if(dp[1][j] > ans) {
	                ans = dp[1][j];
	                lst = j;
	            }
	        }
	    }
	    for(int j = 0; j <= n; ++j) {
	        dp[0][j] = dp[1][j];
	    }
	}
	assert(lst != -1);
	vector<int> v;
	while(lst > 0) {
		v.pb(lst);
		lst = p[lst][k--];
	} 
	reverse(all(v));
	cout << ans << nl;
	for(auto x : v) cout << x << ' ';
}       
 
  
signed main() {                   
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    //freopen("sequence.in", "r", stdin);
    //freopen("sequence.out", "w", stdout);     
    int test = 1;                       
    //cin >> test;
    for(int i = 1; i <= test; ++i) {
        //cout << "Case " << i << ":\n";
        solve();
    }
    return 0;
}                   
/*
possible causes of error :
* array  bounds
* int overflow
* special case (n == 1?)
* haven't clean something
* wrong N | M | inf | INF | MOD

* try to write brute force to find test
* don't waste time
* don't write bullshit
* solution is easy
*/
# Verdict Execution time Memory Grader output
1 Correct 0 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 0 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 0 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 0 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 340 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 340 KB contestant found the optimal answer: 805 == 805
16 Correct 1 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 0 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 340 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 340 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 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 468 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 468 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 468 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 468 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 468 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 464 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 468 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1108 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 1108 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 1108 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 1108 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1156 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 1108 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1108 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1108 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1108 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 8488 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 8404 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 69 ms 8464 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 8 ms 8404 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 80 ms 8468 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 81 ms 8404 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 71 ms 8472 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 49 ms 8404 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 70 ms 8404 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 85 ms 8404 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 62 ms 81612 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 52 ms 81608 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1174 ms 81712 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 52 ms 81716 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1467 ms 81716 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 977 ms 81620 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 950 ms 81720 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 711 ms 81740 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 892 ms 81724 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1192 ms 81716 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845