oj.uz

Submission #212267

# Submission time Handle Problem Language Result Execution time Memory
212267 2020-03-22T16:10:27 Z arnold518 Constellation 3 (JOI20_constellation3) C++14
100 / 100
 494 ms 54768 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 2e5;

struct Data
{
	int x, y; ll c;
	int l, r;
};

int N, A[MAXN+10], M, S;
Data B[MAXN+10];

struct Node
{
	int y, l, r, p;
	vector<pll> V;
};

Node nodes[MAXN+10];
vector<int> adj[MAXN+10];

struct BIT
{
	int tree[MAXN+10];
	void update(int i, int v) { for(; i<=N; i+=(i&-i)) tree[i]=max(tree[i], v); }
	int query(int i) { int ret=0; for(; i>0; i-=(i&-i)) ret=max(ret, tree[i]); return ret; }
}bit;

struct SEG
{
	ll tree[MAXN*4+10], lazy[MAXN*4+10];

	void busy(int node, int tl, int tr)
	{
		if(lazy[node]==0) return;
		tree[node]+=lazy[node]*(tr-tl+1);
		if(tl!=tr) lazy[node*2]+=lazy[node], lazy[node*2+1]+=lazy[node];
		lazy[node]=0;
	}

	void update(int node, int tl, int tr, int l, int r, ll v)
	{
		busy(node, tl, tr);
		if(r<tl || tr<l) return;
		if(l<=tl && tr<=r)
		{
			lazy[node]+=v;
			busy(node, tl, tr);
			return;
		}
		int mid=tl+tr>>1;
		update(node*2, tl, mid, l, r, v);
		update(node*2+1, mid+1, tr, l, r, v);
		tree[node]=tree[node*2]+tree[node*2+1];
	}

	ll query(int node, int tl, int tr, int l, int r)
	{
		busy(node, tl, tr);
		if(r<tl || tr<l) return 0;
		if(l<=tl && tr<=r) return tree[node];
		int mid=tl+tr>>1;
		return query(node*2, tl, mid, l, r)+query(node*2+1, mid+1, tr, l, r);
	}
}seg;

ll dp[MAXN+10];

void dfs(int now)
{
	int i, j;
	ll val=0;

	vector<int> L, R;
	for(int nxt : adj[now])
	{
		dfs(nxt);
		val+=dp[nxt];
		L.push_back(nodes[nxt].l);
		R.push_back(nodes[nxt].r);
	}
	dp[now]=val;

	for(i=0; i<nodes[now].V.size(); i++)
	{
		ll t=0;
		int x=nodes[now].V[i].first;
		int p=lower_bound(R.begin(), R.end(), x)-R.begin();

		if(p<adj[now].size() && L[p]<=x && x<=R[p]) t=val-dp[adj[now][p]]+seg.query(1, 1, N, x, x);
		else t=val;
		dp[now]=max(dp[now], t+nodes[now].V[i].second);
	}

	for(i=nodes[now].l, j=0; i<=nodes[now].r; i++)
	{
		for(; j<adj[now].size() && L[j]==i; j++) i=R[j]+1;
		if(i>nodes[now].r) continue;
		seg.update(1, 1, N, i, i, val);
	}

	for(int nxt : adj[now]) seg.update(1, 1, N, nodes[nxt].l, nodes[nxt].r, val-dp[nxt]);
}

int main()
{
	int i, j;

	ll sum=0;

	scanf("%d", &N);
	for(i=1; i<=N; i++) scanf("%d", &A[i]);
	scanf("%d", &M);
	for(i=1; i<=M; i++) scanf("%d%d%lld", &B[i].x, &B[i].y, &B[i].c), sum+=B[i].c;
	sort(B+1, B+M+1, [&](const Data &p, const Data &q) { return p.x<q.x; });
	A[0]=N+1; A[N+1]=N+1;

	vector<int> ST;

	ST.push_back(0);
	for(i=1, j=1; i<=N; i++)
	{
		while(!ST.empty() && A[ST.back()]<=A[i]) ST.pop_back();
		ST.push_back(i);
		for(; j<=M && B[j].x==i; j++)
		{
			int lo=0, hi=ST.size();
			while(lo+1<hi)
			{
				int mid=lo+hi>>1;
				if(A[ST[mid]]>=B[j].y) lo=mid;
				else hi=mid;
			}
			B[j].l=ST[lo]+1;
		}
	}
	ST.clear();

	ST.push_back(N+1);
	for(i=N, j=M; i>=1; i--)
	{
		while(!ST.empty() && A[ST.back()]<=A[i]) ST.pop_back();
		ST.push_back(i);
		for(; j>=1 && B[j].x==i; j--)
		{
			int lo=0, hi=ST.size();
			while(lo+1<hi)
			{
				int mid=lo+hi>>1;
				if(A[ST[mid]]>=B[j].y) lo=mid;
				else hi=mid;
			}
			B[j].r=ST[lo]-1;
		}
	}
	ST.clear();

	sort(B+1, B+M+1, [&](const Data &p, const Data &q)
	{
		if(p.y!=q.y) return p.y>q.y;
		return p.l<q.l;
	});

	S++;
	nodes[S].y=N+1;
	nodes[S].l=1;
	nodes[S].r=N;
	nodes[S].p=S;
	for(i=1; i<=M; i++)
	{
		if(!(nodes[S].y==B[i].y && nodes[S].l==B[i].l && nodes[S].r==B[i].r))
		{
			S++;
			nodes[S].y=B[i].y;
			nodes[S].l=B[i].l;
			nodes[S].r=B[i].r;
			nodes[S].p=S;
		}
		nodes[S].V.push_back({B[i].x, B[i].c});
	}

	sort(nodes+1, nodes+S+1, [&](const Node &p, const Node &q)
	{
		if(p.l!=q.l) return p.l<q.l;
		if(p.r!=q.r) return p.r>q.r;
		return p.p<q.p;
	});

	for(i=1; i<=S; i++)
	{
		int par=bit.query(N-nodes[i].r+1);
		adj[par].push_back(nodes[i].p);
		bit.update(N-nodes[i].r+1, nodes[i].p);
	}

	sort(nodes+1, nodes+S+1, [&](const Node &p, const Node &q) { return p.p<q.p; });
	for(i=1; i<=S; i++)
	{
		sort(adj[i].begin(), adj[i].end(), [&](const int &p, const int &q) { return nodes[p].l<nodes[q].l; });
		sort(nodes[i].V.begin(), nodes[i].V.end());
	}

	dfs(1);
	printf("%lld\n", sum-dp[1]);

/*
	for(i=1; i<=S; i++)
	{
		printf("%d =========\n", i);
		printf("VAL : %d %d %d\n", nodes[i].y, nodes[i].l, nodes[i].r);
		printf("V : "); for(auto it : nodes[i].V) printf("%lld %lld / ", it.first, it.second); printf("\n");
		printf("ADJ : "); for(auto it : adj[i]) printf("%d ", it); printf("\n");
	}
*/
	//for(i=1; i<=M; i++) printf("%d %d %lld : %d %d\n", B[i].x, B[i].y, B[i].c, B[i].l, B[i].r);
}

Compilation message

constellation3.cpp: In member function 'void SEG::update(int, int, int, int, int, ll)':
constellation3.cpp:57:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   int mid=tl+tr>>1;
           ~~^~~
constellation3.cpp: In member function 'll SEG::query(int, int, int, int, int)':
constellation3.cpp:68:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   int mid=tl+tr>>1;
           ~~^~~
constellation3.cpp: In function 'void dfs(int)':
constellation3.cpp:90:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(i=0; i<nodes[now].V.size(); i++)
           ~^~~~~~~~~~~~~~~~~~~~
constellation3.cpp:96:7: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(p<adj[now].size() && L[p]<=x && x<=R[p]) t=val-dp[adj[now][p]]+seg.query(1, 1, N, x, x);
      ~^~~~~~~~~~~~~~~~
constellation3.cpp:103:10: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(; j<adj[now].size() && L[j]==i; j++) i=R[j]+1;
         ~^~~~~~~~~~~~~~~~
constellation3.cpp: In function 'int main()':
constellation3.cpp:136:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
     int mid=lo+hi>>1;
             ~~^~~
constellation3.cpp:155:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
     int mid=lo+hi>>1;
             ~~^~~
constellation3.cpp:117:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &N);
  ~~~~~^~~~~~~~~~
constellation3.cpp:118:27: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for(i=1; i<=N; i++) scanf("%d", &A[i]);
                      ~~~~~^~~~~~~~~~~~~
constellation3.cpp:119:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &M);
  ~~~~~^~~~~~~~~~
constellation3.cpp:120:66: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for(i=1; i<=M; i++) scanf("%d%d%lld", &B[i].x, &B[i].y, &B[i].c), sum+=B[i].c;
                      ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 12928 KB Output is correct
2 Correct 11 ms 12928 KB Output is correct
3 Correct 11 ms 12928 KB Output is correct
4 Correct 12 ms 12952 KB Output is correct
5 Correct 14 ms 12928 KB Output is correct
6 Correct 11 ms 12928 KB Output is correct
7 Correct 11 ms 12928 KB Output is correct
8 Correct 13 ms 12928 KB Output is correct
9 Correct 11 ms 12928 KB Output is correct
10 Correct 11 ms 12928 KB Output is correct
11 Correct 11 ms 12928 KB Output is correct
12 Correct 11 ms 12928 KB Output is correct
13 Correct 13 ms 12928 KB Output is correct
14 Correct 12 ms 12928 KB Output is correct
15 Correct 11 ms 12916 KB Output is correct
16 Correct 14 ms 12928 KB Output is correct
17 Correct 13 ms 12928 KB Output is correct
18 Correct 12 ms 12928 KB Output is correct
19 Correct 11 ms 12928 KB Output is correct
20 Correct 13 ms 13056 KB Output is correct
21 Correct 11 ms 12928 KB Output is correct
22 Correct 11 ms 12928 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 12928 KB Output is correct
2 Correct 11 ms 12928 KB Output is correct
3 Correct 11 ms 12928 KB Output is correct
4 Correct 12 ms 12952 KB Output is correct
5 Correct 14 ms 12928 KB Output is correct
6 Correct 11 ms 12928 KB Output is correct
7 Correct 11 ms 12928 KB Output is correct
8 Correct 13 ms 12928 KB Output is correct
9 Correct 11 ms 12928 KB Output is correct
10 Correct 11 ms 12928 KB Output is correct
11 Correct 11 ms 12928 KB Output is correct
12 Correct 11 ms 12928 KB Output is correct
13 Correct 13 ms 12928 KB Output is correct
14 Correct 12 ms 12928 KB Output is correct
15 Correct 11 ms 12916 KB Output is correct
16 Correct 14 ms 12928 KB Output is correct
17 Correct 13 ms 12928 KB Output is correct
18 Correct 12 ms 12928 KB Output is correct
19 Correct 11 ms 12928 KB Output is correct
20 Correct 13 ms 13056 KB Output is correct
21 Correct 11 ms 12928 KB Output is correct
22 Correct 11 ms 12928 KB Output is correct
23 Correct 14 ms 13184 KB Output is correct
24 Correct 14 ms 13184 KB Output is correct
25 Correct 14 ms 13184 KB Output is correct
26 Correct 14 ms 13184 KB Output is correct
27 Correct 14 ms 13184 KB Output is correct
28 Correct 15 ms 13184 KB Output is correct
29 Correct 15 ms 13184 KB Output is correct
30 Correct 15 ms 13184 KB Output is correct
31 Correct 15 ms 13164 KB Output is correct
32 Correct 15 ms 13312 KB Output is correct
33 Correct 14 ms 13312 KB Output is correct
34 Correct 14 ms 13312 KB Output is correct
35 Correct 14 ms 13312 KB Output is correct
36 Correct 14 ms 13312 KB Output is correct
37 Correct 14 ms 13312 KB Output is correct
38 Correct 12 ms 13312 KB Output is correct
39 Correct 13 ms 13056 KB Output is correct
40 Correct 14 ms 13312 KB Output is correct
41 Correct 14 ms 13056 KB Output is correct
42 Correct 13 ms 13056 KB Output is correct
43 Correct 14 ms 13184 KB Output is correct
44 Correct 13 ms 13056 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 12928 KB Output is correct
2 Correct 11 ms 12928 KB Output is correct
3 Correct 11 ms 12928 KB Output is correct
4 Correct 12 ms 12952 KB Output is correct
5 Correct 14 ms 12928 KB Output is correct
6 Correct 11 ms 12928 KB Output is correct
7 Correct 11 ms 12928 KB Output is correct
8 Correct 13 ms 12928 KB Output is correct
9 Correct 11 ms 12928 KB Output is correct
10 Correct 11 ms 12928 KB Output is correct
11 Correct 11 ms 12928 KB Output is correct
12 Correct 11 ms 12928 KB Output is correct
13 Correct 13 ms 12928 KB Output is correct
14 Correct 12 ms 12928 KB Output is correct
15 Correct 11 ms 12916 KB Output is correct
16 Correct 14 ms 12928 KB Output is correct
17 Correct 13 ms 12928 KB Output is correct
18 Correct 12 ms 12928 KB Output is correct
19 Correct 11 ms 12928 KB Output is correct
20 Correct 13 ms 13056 KB Output is correct
21 Correct 11 ms 12928 KB Output is correct
22 Correct 11 ms 12928 KB Output is correct
23 Correct 14 ms 13184 KB Output is correct
24 Correct 14 ms 13184 KB Output is correct
25 Correct 14 ms 13184 KB Output is correct
26 Correct 14 ms 13184 KB Output is correct
27 Correct 14 ms 13184 KB Output is correct
28 Correct 15 ms 13184 KB Output is correct
29 Correct 15 ms 13184 KB Output is correct
30 Correct 15 ms 13184 KB Output is correct
31 Correct 15 ms 13164 KB Output is correct
32 Correct 15 ms 13312 KB Output is correct
33 Correct 14 ms 13312 KB Output is correct
34 Correct 14 ms 13312 KB Output is correct
35 Correct 14 ms 13312 KB Output is correct
36 Correct 14 ms 13312 KB Output is correct
37 Correct 14 ms 13312 KB Output is correct
38 Correct 12 ms 13312 KB Output is correct
39 Correct 13 ms 13056 KB Output is correct
40 Correct 14 ms 13312 KB Output is correct
41 Correct 14 ms 13056 KB Output is correct
42 Correct 13 ms 13056 KB Output is correct
43 Correct 14 ms 13184 KB Output is correct
44 Correct 13 ms 13056 KB Output is correct
45 Correct 491 ms 40068 KB Output is correct
46 Correct 465 ms 39416 KB Output is correct
47 Correct 493 ms 40152 KB Output is correct
48 Correct 494 ms 39544 KB Output is correct
49 Correct 491 ms 39600 KB Output is correct
50 Correct 493 ms 39480 KB Output is correct
51 Correct 474 ms 39800 KB Output is correct
52 Correct 485 ms 40056 KB Output is correct
53 Correct 493 ms 39544 KB Output is correct
54 Correct 476 ms 54768 KB Output is correct
55 Correct 460 ms 54528 KB Output is correct
56 Correct 440 ms 54004 KB Output is correct
57 Correct 473 ms 53940 KB Output is correct
58 Correct 390 ms 53496 KB Output is correct
59 Correct 412 ms 53632 KB Output is correct
60 Correct 238 ms 54636 KB Output is correct
61 Correct 304 ms 32628 KB Output is correct
62 Correct 408 ms 49600 KB Output is correct
63 Correct 311 ms 32400 KB Output is correct
64 Correct 283 ms 32244 KB Output is correct
65 Correct 399 ms 49392 KB Output is correct
66 Correct 290 ms 32304 KB Output is correct