Submission #20820

# Submission time Handle Problem Language Result Execution time Memory
20820 2017-02-17T12:34:55 Z kdh9949 Split the sequence (APIO14_sequence) C++14
100 / 100
613 ms 88748 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, int> pli;

struct Cht{
	struct Line{
		ll a, b; int x;
	};
    double cr(Line p, Line q){
        return (q.b - p.b) * 1.0 / (p.a - q.a);
    }
	Line dq[100010];
	int f, r;
	void clr(){ f = r = 0; }
	void upd(ll a, ll b, int x){
		Line cur = {a, b, x};
        while(f + 1 < r && ((dq[r - 1].a == cur.a && dq[r - 1].b <= cur.b) ||
							(dq[r - 1].a != cur.a && cr(dq[r - 2], cur) <= cr(dq[r - 2], dq[r - 1])))) r--;
        if(f == r || dq[r - 1].a != cur.a) dq[r++] = cur;
	}
	pli query(ll x){
		while(f + 1 < r && x >= cr(dq[f], dq[f + 1])) f++;
		return {dq[f].a * x + dq[f].b, dq[f].x};
	}
}C;

int n, k, b[210][100010];
ll s[100010], dp[2][100010];

void btk(int x, int y){
	if(!x) return;
	btk(x - 1, b[x][y]);
	printf("%d ", b[x][y]);
}

int main(){
	scanf("%d%d", &n, &k);
	for(int i = 1; i <= n; i++){
		scanf("%lld", s + i);
		s[i] += s[i - 1];
	}
	for(int i = 1; i <= n; i++) dp[0][i] = s[i] * (s[n] - s[i]);
	for(int i = 1, f = 1; i <= k; i++, f = !f){
        C.clr();
        C.upd(s[i], dp[!f][i], i);
        for(int j = i + 1; j <= n; j++){
			ll t = s[n] - s[j];
			pli q = C.query(-t);
            dp[f][j] = q.first + t * s[j];
            b[i][j] = q.second;
            C.upd(s[j], dp[!f][j], j);
        }
	}
	printf("%lld\n", dp[k % 2][n]);
	btk(k, n);
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:38:23: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d", &n, &k);
                       ^
sequence.cpp:40:23: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld", s + i);
                       ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88748 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 88748 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 88748 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 88748 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 88748 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 88748 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 88748 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 88748 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 88748 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 88748 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 88748 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 88748 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 88748 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 88748 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 88748 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 88748 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 88748 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88748 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 88748 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 88748 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 88748 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 88748 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 88748 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 88748 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 88748 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 88748 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 88748 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88748 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 88748 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 88748 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 88748 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 88748 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 88748 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 88748 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 88748 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 88748 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 88748 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88748 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 88748 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 0 ms 88748 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 88748 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 88748 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 0 ms 88748 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 3 ms 88748 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 88748 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 88748 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 88748 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 0 ms 88748 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 88748 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 23 ms 88748 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 0 ms 88748 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 39 ms 88748 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 39 ms 88748 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 43 ms 88748 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 29 ms 88748 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 26 ms 88748 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 39 ms 88748 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 9 ms 88748 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 16 ms 88748 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 349 ms 88748 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 13 ms 88748 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 613 ms 88748 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 383 ms 88748 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 449 ms 88748 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 303 ms 88748 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 293 ms 88748 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 389 ms 88748 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845