Submission #129046

# Submission time Handle Problem Language Result Execution time Memory
129046 2019-07-11T13:17:41 Z roseanne_pcy Cake 3 (JOI19_cake3) C++14
100 / 100
1164 ms 124652 KB
#include <bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
using namespace std;
#define X first
#define Y second
#define pb push_back
typedef pair<int, int> ii;
typedef long long ll;

const int maxn = 2e5+5;

vector< ii > vec;

int n, k;

int v[maxn];
int w[maxn];


struct node
{
	ll sum;
	int left, right;
	node(){}
	node(ll val, int left, int right) : sum(val), left(left), right(right){}
};

node cnt[20*maxn], tot[20*maxn];

int tungc = 0;
int tungd = 0;

int pos[maxn];

int rcnt[maxn], rtot[maxn];

int update(node *st, int &tung, int x, int dx, int p, int L, int R)
{
	if(L<= x && x<= R)
	{
		if(L == R)
		{
			tung++;
			st[tung] = node(st[p].sum+dx, 0, 0);
			return tung;
		}
		int M = (L+R)/2;
		int a = update(st, tung, x, dx, st[p].left, L, M);
		int b = update(st, tung, x, dx, st[p].right, M+1, R);
		tung++;
		st[tung] = node(st[a].sum+st[b].sum, a, b);
		return tung;
	}
	return p;
}

ll gimme(int p1, int p2, int p3, int p4, ll k, int L, int R)
{
	if(L == R)
	{
		// printf("end at %d %lld\n", L, k);
		if(k> 0) return tot[p4].sum-tot[p3].sum;
		return 0;
	}
	int M = (L+R)/2;
	ll here = (cnt[cnt[p2].right].sum)-(cnt[cnt[p1].right].sum);
	// printf("%d %d right = %lld all %lld\n", L, R, here, cnt[p2].sum-cnt[p1].sum);
	// printf("from %lld+%lld\n", cnt[cnt[p2].left].sum-cnt[cnt[p1].left].sum, cnt[cnt[p2].right].sum-cnt[cnt[p1].right].sum);
	if(here>= k)
	{
		return gimme(cnt[p1].right, cnt[p2].right, tot[p3].right, tot[p4].right, k, M+1, R);
	}
	else
	{
		// printf("adding %lld\n", tot[tot[p4].right].sum-tot[tot[p3].right].sum);
		return (tot[tot[p4].right].sum)-(tot[tot[p3].right].sum)+gimme(cnt[p1].left, cnt[p2].left, tot[p3].left, tot[p4].left, k-here, L, M);
	}
}

ll cost(int x, int y)
{
	// printf("querying %d %d\n", x, y);
	return gimme(rcnt[x-1], rcnt[y], rtot[x-1], rtot[y], k-2, 1, n);
}

ll ret = -1e18;

void solve(int L, int R, int i, int j)
{
	if(L> R) return;
	int M = (L+R)/2;
	pair<ll, int> best = {-1e18, i};
	for(int p = i; p<= min(M-k+1, j); p++)
	{
		//[p..M]
		// printf("cost[%d..%d] = %lld\n", p+1, M-1, cost(p+1, M-1));
		best = max(best, {cost(p+1, M-1)+v[M]+v[p]-2LL*(w[M]-w[p]), p});
	}
	ret = max(ret, best.X);
	solve(L, M-1, i, best.Y);
	solve(M+1, R, best.Y, j);
}

int main()
{
	scanf("%d %d", &n, &k);
	vec.resize(n);
	for(int i = 0; i< n; i++)
	{
		scanf("%d %d", &vec[i].Y, &vec[i].X);
	}
	sort(vec.begin(), vec.end());
	for(int i = 1; i<= n; i++)
	{
		v[i] = vec[i-1].Y;
		w[i] = vec[i-1].X;
	}
	cnt[0].sum = tot[0].sum = 0;
	cnt[0].left = cnt[0].right = 0;
	tot[0].left = tot[0].right = 0;
	vector< ii > ayh;
	for(int i = 1; i<= n; i++)
	{
		ayh.pb(ii(v[i], i));
	}
	sort(ayh.begin(), ayh.end());
	for(int i = 0; i< n; i++)
	{
		pos[ayh[i].Y] = i+1;
	}
	// for(int i = 1; i<= n; i++) printf("%d %d\n", v[i], w[i]);
	for(int i = 1; i<= n; i++)
	{
		// printf("updating %d\n", pos[i]);
		rcnt[i] = update(cnt, tungc, pos[i], 1, rcnt[i-1], 1, n);
		rtot[i] = update(tot, tungd, pos[i], v[i], rtot[i-1], 1, n);
	}
	// printf("done\n");
	solve(1, n, 1, n);
	// for(int i = 1; i<= n; i++)
	// {
	// 	for(int j = i+k-1; j<= n; j++)
	// 	{
	// 		ret = max(ret, cost(i+1, j-1)+v[i]+v[j]-2LL*(w[j]-w[i]));
	// 	}
	// }
	printf("%lld\n", ret);
}

Compilation message

cake3.cpp: In function 'int main()':
cake3.cpp:107:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d", &n, &k);
  ~~~~~^~~~~~~~~~~~~~~~~
cake3.cpp:111:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d", &vec[i].Y, &vec[i].X);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 380 KB Output is correct
16 Correct 2 ms 380 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 4 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 380 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 2 ms 376 KB Output is correct
37 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 380 KB Output is correct
16 Correct 2 ms 380 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 4 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 380 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 2 ms 376 KB Output is correct
37 Correct 2 ms 376 KB Output is correct
38 Correct 6 ms 1144 KB Output is correct
39 Correct 6 ms 1144 KB Output is correct
40 Correct 5 ms 1144 KB Output is correct
41 Correct 5 ms 1144 KB Output is correct
42 Correct 5 ms 1116 KB Output is correct
43 Correct 5 ms 1144 KB Output is correct
44 Correct 5 ms 1144 KB Output is correct
45 Correct 6 ms 1144 KB Output is correct
46 Correct 6 ms 1144 KB Output is correct
47 Correct 6 ms 1148 KB Output is correct
48 Correct 5 ms 1144 KB Output is correct
49 Correct 5 ms 1144 KB Output is correct
50 Correct 5 ms 1144 KB Output is correct
51 Correct 5 ms 1144 KB Output is correct
52 Correct 5 ms 1144 KB Output is correct
53 Correct 5 ms 1144 KB Output is correct
54 Correct 5 ms 1144 KB Output is correct
55 Correct 4 ms 1144 KB Output is correct
56 Correct 4 ms 1144 KB Output is correct
57 Correct 4 ms 1144 KB Output is correct
58 Correct 4 ms 1144 KB Output is correct
59 Correct 4 ms 1144 KB Output is correct
60 Correct 5 ms 1144 KB Output is correct
61 Correct 4 ms 1144 KB Output is correct
62 Correct 4 ms 1144 KB Output is correct
63 Correct 4 ms 1144 KB Output is correct
64 Correct 4 ms 1116 KB Output is correct
65 Correct 5 ms 1144 KB Output is correct
66 Correct 5 ms 1144 KB Output is correct
67 Correct 5 ms 1144 KB Output is correct
68 Correct 5 ms 1144 KB Output is correct
69 Correct 5 ms 1144 KB Output is correct
70 Correct 5 ms 1144 KB Output is correct
71 Correct 5 ms 1144 KB Output is correct
72 Correct 5 ms 1144 KB Output is correct
73 Correct 4 ms 1148 KB Output is correct
74 Correct 5 ms 1272 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 380 KB Output is correct
16 Correct 2 ms 380 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 4 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 380 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 2 ms 376 KB Output is correct
37 Correct 2 ms 376 KB Output is correct
38 Correct 6 ms 1144 KB Output is correct
39 Correct 6 ms 1144 KB Output is correct
40 Correct 5 ms 1144 KB Output is correct
41 Correct 5 ms 1144 KB Output is correct
42 Correct 5 ms 1116 KB Output is correct
43 Correct 5 ms 1144 KB Output is correct
44 Correct 5 ms 1144 KB Output is correct
45 Correct 6 ms 1144 KB Output is correct
46 Correct 6 ms 1144 KB Output is correct
47 Correct 6 ms 1148 KB Output is correct
48 Correct 5 ms 1144 KB Output is correct
49 Correct 5 ms 1144 KB Output is correct
50 Correct 5 ms 1144 KB Output is correct
51 Correct 5 ms 1144 KB Output is correct
52 Correct 5 ms 1144 KB Output is correct
53 Correct 5 ms 1144 KB Output is correct
54 Correct 5 ms 1144 KB Output is correct
55 Correct 4 ms 1144 KB Output is correct
56 Correct 4 ms 1144 KB Output is correct
57 Correct 4 ms 1144 KB Output is correct
58 Correct 4 ms 1144 KB Output is correct
59 Correct 4 ms 1144 KB Output is correct
60 Correct 5 ms 1144 KB Output is correct
61 Correct 4 ms 1144 KB Output is correct
62 Correct 4 ms 1144 KB Output is correct
63 Correct 4 ms 1144 KB Output is correct
64 Correct 4 ms 1116 KB Output is correct
65 Correct 5 ms 1144 KB Output is correct
66 Correct 5 ms 1144 KB Output is correct
67 Correct 5 ms 1144 KB Output is correct
68 Correct 5 ms 1144 KB Output is correct
69 Correct 5 ms 1144 KB Output is correct
70 Correct 5 ms 1144 KB Output is correct
71 Correct 5 ms 1144 KB Output is correct
72 Correct 5 ms 1144 KB Output is correct
73 Correct 4 ms 1148 KB Output is correct
74 Correct 5 ms 1272 KB Output is correct
75 Correct 1106 ms 115588 KB Output is correct
76 Correct 1164 ms 112076 KB Output is correct
77 Correct 979 ms 115816 KB Output is correct
78 Correct 1044 ms 117564 KB Output is correct
79 Correct 443 ms 118120 KB Output is correct
80 Correct 455 ms 114408 KB Output is correct
81 Correct 887 ms 117028 KB Output is correct
82 Correct 1080 ms 119012 KB Output is correct
83 Correct 1006 ms 123112 KB Output is correct
84 Correct 1050 ms 122388 KB Output is correct
85 Correct 927 ms 117952 KB Output is correct
86 Correct 566 ms 113752 KB Output is correct
87 Correct 589 ms 112232 KB Output is correct
88 Correct 818 ms 111464 KB Output is correct
89 Correct 789 ms 118120 KB Output is correct
90 Correct 623 ms 123880 KB Output is correct
91 Correct 492 ms 114024 KB Output is correct
92 Correct 493 ms 113020 KB Output is correct
93 Correct 546 ms 118120 KB Output is correct
94 Correct 489 ms 123752 KB Output is correct
95 Correct 602 ms 124040 KB Output is correct
96 Correct 385 ms 114612 KB Output is correct
97 Correct 415 ms 124264 KB Output is correct
98 Correct 424 ms 122400 KB Output is correct
99 Correct 432 ms 122600 KB Output is correct
100 Correct 351 ms 115120 KB Output is correct
101 Correct 384 ms 115176 KB Output is correct
102 Correct 937 ms 115288 KB Output is correct
103 Correct 793 ms 113580 KB Output is correct
104 Correct 892 ms 120168 KB Output is correct
105 Correct 718 ms 119656 KB Output is correct
106 Correct 754 ms 123056 KB Output is correct
107 Correct 682 ms 118504 KB Output is correct
108 Correct 992 ms 117096 KB Output is correct
109 Correct 868 ms 124520 KB Output is correct
110 Correct 405 ms 115944 KB Output is correct
111 Correct 496 ms 117352 KB Output is correct
112 Correct 386 ms 111720 KB Output is correct
113 Correct 483 ms 124652 KB Output is correct