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Submission #277720

# Submission time Handle Problem Language Result Execution time Memory
277720 2020-08-21T07:01:21 Z tmwilliamlin168 Constellation 3 (JOI20_constellation3) C++14
100 / 100
 396 ms 45816 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ar array

const int mxN=2e5;
int n, m, a[mxN];
ar<int, 3> b[mxN];
ll s, dp2[mxN];

struct ds1 {
	ar<int, 2> st[2*mxN];
	void init() {
		for(int i=0; i<n; ++i)
			st[i+n]={a[i], i};
		for(int i=n-1; i; --i)
			st[i]=max(st[2*i], st[2*i+1]);
	}
	ar<int, 2> qry(int l, int r) {
		ar<int, 2> b{};
		for(l+=n, r+=n+1; l<r; ++l/=2, r/=2) {
			if(l&1)
				b=max(st[l], b);
			if(r&1)
				b=max(st[r-1], b);
		}
		return b;
	}
} ds1;

struct ds2 {
	ar<int, 3> st[2*mxN];
	void init() {
		for(int i=0; i<m; ++i)
			st[i+m]={b[i][1], b[i][0], b[i][2]};
		for(int i=m-1; i; --i)
			st[i]=min(st[2*i], st[2*i+1]);
	}
	ar<int, 3> qry(int l, int r) {
		ar<int, 3> b{n+1};
		for(l+=m, r+=m+1; l<r; ++l/=2, r/=2) {
			if(l&1)
				b=min(st[l], b);
			if(r&1)
				b=min(st[r-1], b);
		}
		return b;
	}
	void upd(int i, ar<int, 3> x) {
		for(st[i+=m]=x; i/=2; )
			st[i]=min(st[2*i], st[2*i+1]);
	}
} ds2;

struct ds3 {
	ll ft[mxN+1];
	void upd(int i, ll x) {
		for(++i; i<=n; i+=i&-i)
			ft[i]+=x;
	}
	void upd(int l, int r, ll x) {
		upd(l, x);
		upd(r+1, -x);
	}
	ll qry(int i) {
		ll r=0;
		for(++i; i; i-=i&-i)
			r+=ft[i];
		return r;
	}
} ds3;

int dfs(int l, int r, int mx) {
	if(l>r)
		return -1;
	int m2=ds1.qry(l, r)[1], lc=dfs(l, m2-1, a[m2]), rc=dfs(m2+1, r, a[m2]);
	dp2[m2]=(~lc?dp2[lc]:0)+(~rc?dp2[rc]:0);
	int l2=lower_bound(b, b+m, ar<int, 3>{l})-b, r2=lower_bound(b, b+m, ar<int, 3>{r+1})-b-1;
	while(1) {
		ar<int, 3> d=ds2.qry(l2, r2);
		if(d[0]>mx)
			break;
		if(d[1]<m2)
			dp2[m2]=max(d[2]+(~lc?ds3.qry(d[1]):0)+(~rc?dp2[rc]:0), dp2[m2]);
		else if(d[1]>m2)
			dp2[m2]=max(d[2]+(~lc?dp2[lc]:0)+(~rc?ds3.qry(d[1]):0), dp2[m2]);
		else
			dp2[m2]=max(d[2]+(~lc?dp2[lc]:0)+(~rc?dp2[rc]:0), dp2[m2]);
		ds2.upd(lower_bound(b, b+m, ar<int, 3>{d[1], d[0], d[2]})-b, {n+1});
	}
	ds3.upd(l, m2, ~rc?dp2[rc]:0);
	ds3.upd(m2, r, ~lc?dp2[lc]:0);
	return m2;
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	cin >> n;
	for(int i=0; i<n; ++i)
		cin >> a[i];
	ds1.init();
	cin >> m;
	for(int i=0; i<m; ++i) {
		cin >> b[i][0] >> b[i][1] >> b[i][2], --b[i][0];
		s+=b[i][2];
	}
	sort(b, b+m);
	ds2.init();
	cout << s-dp2[dfs(0, n-1, n)];
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 452 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 452 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 3 ms 512 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 3 ms 512 KB Output is correct
27 Correct 3 ms 512 KB Output is correct
28 Correct 3 ms 512 KB Output is correct
29 Correct 2 ms 512 KB Output is correct
30 Correct 3 ms 512 KB Output is correct
31 Correct 3 ms 512 KB Output is correct
32 Correct 3 ms 640 KB Output is correct
33 Correct 4 ms 640 KB Output is correct
34 Correct 3 ms 640 KB Output is correct
35 Correct 4 ms 640 KB Output is correct
36 Correct 3 ms 640 KB Output is correct
37 Correct 3 ms 640 KB Output is correct
38 Correct 2 ms 768 KB Output is correct
39 Correct 3 ms 512 KB Output is correct
40 Correct 3 ms 768 KB Output is correct
41 Correct 3 ms 512 KB Output is correct
42 Correct 3 ms 512 KB Output is correct
43 Correct 3 ms 768 KB Output is correct
44 Correct 3 ms 512 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 452 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 3 ms 512 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 3 ms 512 KB Output is correct
27 Correct 3 ms 512 KB Output is correct
28 Correct 3 ms 512 KB Output is correct
29 Correct 2 ms 512 KB Output is correct
30 Correct 3 ms 512 KB Output is correct
31 Correct 3 ms 512 KB Output is correct
32 Correct 3 ms 640 KB Output is correct
33 Correct 4 ms 640 KB Output is correct
34 Correct 3 ms 640 KB Output is correct
35 Correct 4 ms 640 KB Output is correct
36 Correct 3 ms 640 KB Output is correct
37 Correct 3 ms 640 KB Output is correct
38 Correct 2 ms 768 KB Output is correct
39 Correct 3 ms 512 KB Output is correct
40 Correct 3 ms 768 KB Output is correct
41 Correct 3 ms 512 KB Output is correct
42 Correct 3 ms 512 KB Output is correct
43 Correct 3 ms 768 KB Output is correct
44 Correct 3 ms 512 KB Output is correct
45 Correct 239 ms 14328 KB Output is correct
46 Correct 237 ms 14200 KB Output is correct
47 Correct 239 ms 14328 KB Output is correct
48 Correct 238 ms 14456 KB Output is correct
49 Correct 237 ms 13944 KB Output is correct
50 Correct 232 ms 13944 KB Output is correct
51 Correct 239 ms 14200 KB Output is correct
52 Correct 246 ms 14404 KB Output is correct
53 Correct 235 ms 14200 KB Output is correct
54 Correct 369 ms 35196 KB Output is correct
55 Correct 396 ms 29312 KB Output is correct
56 Correct 388 ms 26204 KB Output is correct
57 Correct 393 ms 23912 KB Output is correct
58 Correct 368 ms 28644 KB Output is correct
59 Correct 362 ms 28644 KB Output is correct
60 Correct 286 ms 45816 KB Output is correct
61 Correct 292 ms 14156 KB Output is correct
62 Correct 395 ms 37556 KB Output is correct
63 Correct 242 ms 14200 KB Output is correct
64 Correct 254 ms 13816 KB Output is correct
65 Correct 383 ms 37752 KB Output is correct
66 Correct 254 ms 14200 KB Output is correct