oj.uz

Submission #212257

# Submission time Handle Problem Language Result Execution time Memory
212257 2020-03-22T16:00:31 Z zscoder Constellation 3 (JOI20_constellation3) C++17
100 / 100
 711 ms 47984 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;
 
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define fbo find_by_order
#define ook order_of_key
 
typedef long long ll;
typedef pair<ll,ll> ii;
typedef vector<ll> vi;
typedef long double ld; 
typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> pbds;

ll a[233333];
const ll INF = ll(1e18);
vector<ii> pty[222222];
vector<ii> ptx[222222];
vector<ll> Y[222222];

struct DSU
{
	ll S;
	
	struct node
	{
		ll p; 
		ll l,r;
	};
	vector<node> dsu;
	
	DSU(ll n)
	{
		S = n;
		for(ll i = 0; i < n; i++)
		{
			node tmp;
			tmp.p = i; 
			tmp.l=tmp.r=i;
			dsu.pb(tmp);
		}
	}
	
	void reset(ll n)
	{
		dsu.clear();
		S = n;
		for(ll i = 0; i < n; i++)
		{
			node tmp;
			tmp.p = i;
			tmp.l=tmp.r=i;
			dsu.pb(tmp);
		}
	}
	
	ll rt(ll u)
	{
		if(dsu[u].p == u) return u;
		dsu[u].p = rt(dsu[u].p);
		return dsu[u].p;
	}
	
	void merge(ll u, ll v)
	{
		u = rt(u); v = rt(v);
		if(u == v) return ;
		if(rand()&1) swap(u, v);
		dsu[v].p = u;
		dsu[u].l = min(dsu[u].l,dsu[v].l);
		dsu[u].r = max(dsu[u].r,dsu[v].r);
	}
	
	bool sameset(ll u, ll v)
	{
		if(rt(u) == rt(v)) return true;
		return false;
	}
};


class LazySegmentTree {
private:
	int size_;
	vector<long long> v, lazy;
	void update(int a, int b, long long x, int k, int l, int r) {
		push(k, l, r);
		if (r <= a || b <= l) return;
		if (a <= l && r <= b) {
			lazy[k] += x;
			push(k, l, r);
		}
		else {
			update(a, b, x, k * 2, l, (l + r) >> 1);
			update(a, b, x, k * 2 + 1, (l + r) >> 1, r);
			v[k] = merge(v[k * 2], v[k * 2 + 1]);
		}
	}
	long long query(int a, int b, int k, int l, int r) {
		push(k, l, r);
		if (r <= a || b <= l) return 0;
		if (a <= l && r <= b) return v[k];
		long long lc = query(a, b, k * 2, l, (l + r) >> 1);
		long long rc = query(a, b, k * 2 + 1, (l + r) >> 1, r);
		return merge(lc, rc);
	}
 
public:
	LazySegmentTree() : v(vector<long long>()), lazy(vector<long long>()) {};
	LazySegmentTree(int n) {
		for (size_ = 1; size_ < n;) size_ <<= 1;
		v.resize(size_ * 2);
		lazy.resize(size_ * 2);
	}
	inline void push(int k, int l, int r) {
		if (lazy[k] != 0) {
			v[k] += lazy[k];
			if (r - l > 1) {
				lazy[k * 2] += lazy[k];
				lazy[k * 2 + 1] += lazy[k];
			}
			lazy[k] = 0;
		}
	}
	inline long long merge(long long x, long long y) {
		return max(x,y);
	}
	inline void update(int l, int r, long long x) {
		update(l, r, x, 1, 0, size_);
	}
	inline long long query(int l, int r) {
		return query(l, r, 1, 0, size_);
	}
};

ll active[222222];
int main()
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	ll n; cin>>n;
	for(ll i=0;i<n;i++)
	{
		cin>>a[i];
		a[i]=n-a[i]-1;
		if(a[i]>=0) Y[a[i]].pb(i);
	}
	ll q; cin>>q;
	ll ans = 0;
	for(ll i=0;i<q;i++)
	{
		ll x,y; cin>>x>>y; x--;  
		ll v;cin>>v;
		ptx[x].pb({n-y,v});
		ans+=v;
	}
	for(ll i=0;i<n;i++)
	{
		sort(ptx[i].rbegin(),ptx[i].rend());
		vector<ii> S;
		for(ii z:ptx[i])
		{
			if(!S.empty()&&z.se<=S.back().se) continue;
			S.pb(z);
		}
		ll las=0;
		for(ii x:S)
		{
			pty[x.fi].pb({i,x.se-las});
			las=x.se;
		}
	}
	DSU dsu(n);
	LazySegmentTree st(n);
	for(ll i=n-1;i>=0;i--)
	{
		//merge
		for(ll x:Y[i])
		{
			ll ans=0;
			ll resl=0;
			ll resr=0;
			if(x-1>=0&&active[x-1])
			{
				ll rt = dsu.rt(x-1);
				ll l = dsu.dsu[rt].l; ll r = dsu.dsu[rt].r;
				resl=st.query(l,r+1);
				ans+=resl;
			}
			if(x+1<n&&active[x+1])
			{
				ll rt = dsu.rt(x+1);
				ll l = dsu.dsu[rt].l; ll r = dsu.dsu[rt].r;
				resr=st.query(l,r+1);
				ans+=resr;
			}
			if(x-1>=0&&active[x-1])
			{
				ll rt = dsu.rt(x-1);
				ll l = dsu.dsu[rt].l; ll r = dsu.dsu[rt].r;
				st.update(l,r+1,resr);
			}
			if(x+1<n&&active[x+1])
			{
				ll rt = dsu.rt(x+1);
				ll l = dsu.dsu[rt].l; ll r = dsu.dsu[rt].r;
				st.update(l,r+1,resl);
			}
			if(x-1>=0&&active[x-1]) dsu.merge(x-1,x);
			if(x+1<n&&active[x+1]) dsu.merge(x,x+1);
			active[x]=1;
			st.update(x,x+1,ans);
		}
		//extend
		for(ii pt:pty[i])
		{
			ll x=pt.fi; ll v = pt.se;
			st.update(x,x+1,v);
		}
	}
	ll mx=0; ll sum=0;
	for(ll i=0;i<n;i++)
	{
		if(a[i]<0)
		{
			sum+=mx;
			mx=0; continue;
		}
		mx=max(mx,st.query(i,i+1));
	}
	sum+=mx;
	ans-=sum;
	cout<<ans<<'\n';
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 16128 KB Output is correct
2 Correct 16 ms 16000 KB Output is correct
3 Correct 14 ms 16000 KB Output is correct
4 Correct 14 ms 16000 KB Output is correct
5 Correct 14 ms 16128 KB Output is correct
6 Correct 15 ms 16000 KB Output is correct
7 Correct 14 ms 16000 KB Output is correct
8 Correct 16 ms 16000 KB Output is correct
9 Correct 15 ms 16000 KB Output is correct
10 Correct 13 ms 16000 KB Output is correct
11 Correct 14 ms 16128 KB Output is correct
12 Correct 14 ms 16128 KB Output is correct
13 Correct 14 ms 16128 KB Output is correct
14 Correct 15 ms 16000 KB Output is correct
15 Correct 14 ms 16000 KB Output is correct
16 Correct 14 ms 16128 KB Output is correct
17 Correct 15 ms 16128 KB Output is correct
18 Correct 15 ms 16000 KB Output is correct
19 Correct 15 ms 16128 KB Output is correct
20 Correct 14 ms 16128 KB Output is correct
21 Correct 15 ms 16128 KB Output is correct
22 Correct 14 ms 16000 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 16128 KB Output is correct
2 Correct 16 ms 16000 KB Output is correct
3 Correct 14 ms 16000 KB Output is correct
4 Correct 14 ms 16000 KB Output is correct
5 Correct 14 ms 16128 KB Output is correct
6 Correct 15 ms 16000 KB Output is correct
7 Correct 14 ms 16000 KB Output is correct
8 Correct 16 ms 16000 KB Output is correct
9 Correct 15 ms 16000 KB Output is correct
10 Correct 13 ms 16000 KB Output is correct
11 Correct 14 ms 16128 KB Output is correct
12 Correct 14 ms 16128 KB Output is correct
13 Correct 14 ms 16128 KB Output is correct
14 Correct 15 ms 16000 KB Output is correct
15 Correct 14 ms 16000 KB Output is correct
16 Correct 14 ms 16128 KB Output is correct
17 Correct 15 ms 16128 KB Output is correct
18 Correct 15 ms 16000 KB Output is correct
19 Correct 15 ms 16128 KB Output is correct
20 Correct 14 ms 16128 KB Output is correct
21 Correct 15 ms 16128 KB Output is correct
22 Correct 14 ms 16000 KB Output is correct
23 Correct 18 ms 16256 KB Output is correct
24 Correct 17 ms 16384 KB Output is correct
25 Correct 18 ms 16384 KB Output is correct
26 Correct 16 ms 16256 KB Output is correct
27 Correct 18 ms 16256 KB Output is correct
28 Correct 17 ms 16256 KB Output is correct
29 Correct 19 ms 16256 KB Output is correct
30 Correct 19 ms 16256 KB Output is correct
31 Correct 17 ms 16384 KB Output is correct
32 Correct 18 ms 16384 KB Output is correct
33 Correct 18 ms 16256 KB Output is correct
34 Correct 16 ms 16256 KB Output is correct
35 Correct 17 ms 16384 KB Output is correct
36 Correct 18 ms 16256 KB Output is correct
37 Correct 17 ms 16256 KB Output is correct
38 Correct 16 ms 16384 KB Output is correct
39 Correct 18 ms 16384 KB Output is correct
40 Correct 18 ms 16384 KB Output is correct
41 Correct 16 ms 16384 KB Output is correct
42 Correct 17 ms 16384 KB Output is correct
43 Correct 17 ms 16384 KB Output is correct
44 Correct 19 ms 16256 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 16128 KB Output is correct
2 Correct 16 ms 16000 KB Output is correct
3 Correct 14 ms 16000 KB Output is correct
4 Correct 14 ms 16000 KB Output is correct
5 Correct 14 ms 16128 KB Output is correct
6 Correct 15 ms 16000 KB Output is correct
7 Correct 14 ms 16000 KB Output is correct
8 Correct 16 ms 16000 KB Output is correct
9 Correct 15 ms 16000 KB Output is correct
10 Correct 13 ms 16000 KB Output is correct
11 Correct 14 ms 16128 KB Output is correct
12 Correct 14 ms 16128 KB Output is correct
13 Correct 14 ms 16128 KB Output is correct
14 Correct 15 ms 16000 KB Output is correct
15 Correct 14 ms 16000 KB Output is correct
16 Correct 14 ms 16128 KB Output is correct
17 Correct 15 ms 16128 KB Output is correct
18 Correct 15 ms 16000 KB Output is correct
19 Correct 15 ms 16128 KB Output is correct
20 Correct 14 ms 16128 KB Output is correct
21 Correct 15 ms 16128 KB Output is correct
22 Correct 14 ms 16000 KB Output is correct
23 Correct 18 ms 16256 KB Output is correct
24 Correct 17 ms 16384 KB Output is correct
25 Correct 18 ms 16384 KB Output is correct
26 Correct 16 ms 16256 KB Output is correct
27 Correct 18 ms 16256 KB Output is correct
28 Correct 17 ms 16256 KB Output is correct
29 Correct 19 ms 16256 KB Output is correct
30 Correct 19 ms 16256 KB Output is correct
31 Correct 17 ms 16384 KB Output is correct
32 Correct 18 ms 16384 KB Output is correct
33 Correct 18 ms 16256 KB Output is correct
34 Correct 16 ms 16256 KB Output is correct
35 Correct 17 ms 16384 KB Output is correct
36 Correct 18 ms 16256 KB Output is correct
37 Correct 17 ms 16256 KB Output is correct
38 Correct 16 ms 16384 KB Output is correct
39 Correct 18 ms 16384 KB Output is correct
40 Correct 18 ms 16384 KB Output is correct
41 Correct 16 ms 16384 KB Output is correct
42 Correct 17 ms 16384 KB Output is correct
43 Correct 17 ms 16384 KB Output is correct
44 Correct 19 ms 16256 KB Output is correct
45 Correct 646 ms 45796 KB Output is correct
46 Correct 655 ms 45404 KB Output is correct
47 Correct 647 ms 45460 KB Output is correct
48 Correct 677 ms 45596 KB Output is correct
49 Correct 711 ms 45320 KB Output is correct
50 Correct 670 ms 45008 KB Output is correct
51 Correct 672 ms 45332 KB Output is correct
52 Correct 686 ms 45644 KB Output is correct
53 Correct 674 ms 45384 KB Output is correct
54 Correct 615 ms 47984 KB Output is correct
55 Correct 601 ms 47480 KB Output is correct
56 Correct 553 ms 47320 KB Output is correct
57 Correct 578 ms 47192 KB Output is correct
58 Correct 514 ms 43096 KB Output is correct
59 Correct 516 ms 43020 KB Output is correct
60 Correct 381 ms 47836 KB Output is correct
61 Correct 489 ms 43480 KB Output is correct
62 Correct 600 ms 46296 KB Output is correct
63 Correct 464 ms 43580 KB Output is correct
64 Correct 434 ms 43096 KB Output is correct
65 Correct 623 ms 46288 KB Output is correct
66 Correct 479 ms 43056 KB Output is correct