Submission #148072

# Submission time Handle Problem Language Result Execution time Memory
148072 2019-08-31T13:38:49 Z WhipppedCream Cake 3 (JOI19_cake3) C++17
100 / 100
1171 ms 128428 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 380 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 380 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 380 KB Output is correct
10 Correct 2 ms 380 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 396 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 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 380 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 376 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 380 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 380 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 380 KB Output is correct
10 Correct 2 ms 380 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 396 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 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 380 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 376 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 1272 KB Output is correct
40 Correct 5 ms 1180 KB Output is correct
41 Correct 5 ms 1144 KB Output is correct
42 Correct 5 ms 1272 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 1276 KB Output is correct
47 Correct 6 ms 1144 KB Output is correct
48 Correct 6 ms 1196 KB Output is correct
49 Correct 5 ms 1272 KB Output is correct
50 Correct 5 ms 1272 KB Output is correct
51 Correct 5 ms 1272 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 1272 KB Output is correct
55 Correct 5 ms 1148 KB Output is correct
56 Correct 5 ms 1144 KB Output is correct
57 Correct 5 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 5 ms 1144 KB Output is correct
64 Correct 5 ms 1272 KB Output is correct
65 Correct 5 ms 1144 KB Output is correct
66 Correct 5 ms 1144 KB Output is correct
67 Correct 6 ms 1272 KB Output is correct
68 Correct 6 ms 1272 KB Output is correct
69 Correct 5 ms 1144 KB Output is correct
70 Correct 5 ms 1272 KB Output is correct
71 Correct 5 ms 1144 KB Output is correct
72 Correct 4 ms 1144 KB Output is correct
73 Correct 5 ms 1144 KB Output is correct
74 Correct 4 ms 1144 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 380 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 380 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 380 KB Output is correct
10 Correct 2 ms 380 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 396 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 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 380 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 376 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 1272 KB Output is correct
40 Correct 5 ms 1180 KB Output is correct
41 Correct 5 ms 1144 KB Output is correct
42 Correct 5 ms 1272 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 1276 KB Output is correct
47 Correct 6 ms 1144 KB Output is correct
48 Correct 6 ms 1196 KB Output is correct
49 Correct 5 ms 1272 KB Output is correct
50 Correct 5 ms 1272 KB Output is correct
51 Correct 5 ms 1272 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 1272 KB Output is correct
55 Correct 5 ms 1148 KB Output is correct
56 Correct 5 ms 1144 KB Output is correct
57 Correct 5 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 5 ms 1144 KB Output is correct
64 Correct 5 ms 1272 KB Output is correct
65 Correct 5 ms 1144 KB Output is correct
66 Correct 5 ms 1144 KB Output is correct
67 Correct 6 ms 1272 KB Output is correct
68 Correct 6 ms 1272 KB Output is correct
69 Correct 5 ms 1144 KB Output is correct
70 Correct 5 ms 1272 KB Output is correct
71 Correct 5 ms 1144 KB Output is correct
72 Correct 4 ms 1144 KB Output is correct
73 Correct 5 ms 1144 KB Output is correct
74 Correct 4 ms 1144 KB Output is correct
75 Correct 1102 ms 119272 KB Output is correct
76 Correct 1171 ms 115688 KB Output is correct
77 Correct 997 ms 119400 KB Output is correct
78 Correct 1056 ms 121396 KB Output is correct
79 Correct 443 ms 122052 KB Output is correct
80 Correct 511 ms 118032 KB Output is correct
81 Correct 862 ms 119872 KB Output is correct
82 Correct 1034 ms 121524 KB Output is correct
83 Correct 989 ms 125772 KB Output is correct
84 Correct 1054 ms 125500 KB Output is correct
85 Correct 888 ms 120892 KB Output is correct
86 Correct 559 ms 116584 KB Output is correct
87 Correct 577 ms 114972 KB Output is correct
88 Correct 784 ms 114316 KB Output is correct
89 Correct 767 ms 120856 KB Output is correct
90 Correct 589 ms 126828 KB Output is correct
91 Correct 474 ms 116736 KB Output is correct
92 Correct 475 ms 115816 KB Output is correct
93 Correct 537 ms 121108 KB Output is correct
94 Correct 498 ms 126664 KB Output is correct
95 Correct 589 ms 126952 KB Output is correct
96 Correct 383 ms 117372 KB Output is correct
97 Correct 416 ms 127168 KB Output is correct
98 Correct 419 ms 125160 KB Output is correct
99 Correct 393 ms 125436 KB Output is correct
100 Correct 349 ms 117864 KB Output is correct
101 Correct 356 ms 117828 KB Output is correct
102 Correct 861 ms 118000 KB Output is correct
103 Correct 765 ms 116196 KB Output is correct
104 Correct 909 ms 123024 KB Output is correct
105 Correct 717 ms 122556 KB Output is correct
106 Correct 743 ms 125816 KB Output is correct
107 Correct 646 ms 121208 KB Output is correct
108 Correct 1012 ms 120460 KB Output is correct
109 Correct 861 ms 128168 KB Output is correct
110 Correct 407 ms 118172 KB Output is correct
111 Correct 498 ms 119484 KB Output is correct
112 Correct 389 ms 113704 KB Output is correct
113 Correct 473 ms 128428 KB Output is correct