Submission #916282

# Submission time Handle Problem Language Result Execution time Memory
916282 2024-01-25T15:16:50 Z PM1 Constellation 3 (JOI20_constellation3) C++17
100 / 100
625 ms 45156 KB
#include <bits/stdc++.h>
using namespace std;
#define fr first
#define sc second
#define ll long long
const ll mxn=2e5+5;
ll n,m,a[mxn],par[mxn],sz[mxn],rast[mxn],chap[mxn],mxr[mxn],mxl[mxn],mark[mxn],rb[mxn],lb[mxn];
ll dp[mxn],ans=0;
struct star{
	ll xx,yy,c;
}str[mxn];
vector<pair<ll,ll> >bld;
pair<ll,ll>pd[mxn];
bool cmp(star x,star y){
	if(x.yy!=y.yy)
		return x.yy<y.yy;
	return x.xx<y.xx;
}
struct segment{
	ll val[mxn*4];
	void up(ll id,ll L,ll R,ll l,ll x){
		if(L+1==R){
			val[id]=x;
			return;
		}
		ll mid=(L+R)/2;
		if(l<mid)
			up(id*2,L,mid,l,x);
		else 
			up(id*2+1,mid,R,l,x);
		val[id]=val[id*2]+val[id*2+1];
	}
	ll get(ll id,ll L,ll R,ll l,ll r){
		if(L==l && R==r)
			return val[id];
		ll mid=(L+R)/2,res=0;
		if(l<mid)
			res+=get(id*2,L,mid,l,min(r,mid));
		if(r>mid)
			res+=get(id*2+1,mid,R,max(l,mid),r);
		return res;
	}
}seg[2];
ll fndpar(ll x){
	return (par[x]==0?x:par[x]=fndpar(par[x]));
}
void dsu(ll x,ll y){
	if(x==y)return;
	ll L=min(chap[x],chap[y]),R=max(rast[x],rast[y]);
	ll l=(a[mxl[x]]<a[mxl[y]])?mxl[y]:mxl[x];
	ll r=(a[mxr[x]]>a[mxr[y]])?mxr[x]:mxr[y];
	if(sz[x]<sz[y])swap(x,y);
	sz[x]+=sz[y];
	par[y]=x;
	mxl[x]=l;
	mxr[x]=r;
	chap[x]=L;
	rast[x]=R;
}
int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	cin>>n;
	for(ll i=1;i<=n;i++){
		cin>>a[i];
		bld.push_back({a[i],i});
		chap[i]=rast[i]=i;
		mxr[i]=mxl[i]=i;
	}
	a[n+1]=n+1;
	a[0]=n+2;
	bld.push_back({n+1,n+1});
	chap[n+1]=rast[n+1]=n+1;
	mxr[n+1]=mxl[n+1]=n+1;
	cin>>m;
	for(ll i=1;i<=m;i++){
		cin>>str[i].xx>>str[i].yy>>str[i].c;
		ans+=str[i].c;
	}
	sort(bld.begin(),bld.end());
	sort(str+1,str+m+1,cmp);
	ll p=1;
	/////0=sc=rast ,fr=1=chap
	for(ll i=0;i<=n;i++){
		while(p<=m && str[p].yy<=bld[i].fr){
			ll x=fndpar(str[p].xx);
			ll w1=seg[0].get(1,1,n+2,str[p].xx,rast[x]+1);
			ll w2=seg[1].get(1,1,n+2,chap[x],str[p].xx+1);
			dp[p]=str[p].c+w1+w2;
			if(a[chap[x]-1]<=a[rast[x]+1])
				rb[chap[x]-1]=max(rb[chap[x]-1],dp[p]);
			else
				lb[rast[x]+1]=max(lb[rast[x]+1],dp[p]);
			p++;
		}
		ll x1=(mark[bld[i].sc+1])?fndpar(bld[i].sc+1):bld[i].sc;
		ll x2=(mark[bld[i].sc-1])?fndpar(bld[i].sc-1):bld[i].sc;
		//cout<<mxr[x1]<<" "<<rast[x1]<<" "<<chap[x2]<<" "<<mxl[x2]<<endl;
		ll z1=seg[1].get(1,1,n+2,bld[i].sc,mxr[x1]+1)+seg[0].get(1,1,n+2,mxr[x1],rast[x1]+1);
		ll z2=seg[0].get(1,1,n+2,mxl[x2],bld[i].sc+1)+seg[1].get(1,1,n+2,chap[x2],mxl[x2]+1);
		ll q1=seg[0].get(1,1,n+2,bld[i].sc,rast[x1]+1);
		ll q2=seg[1].get(1,1,n+2,chap[x2],bld[i].sc+1);
		//cout<<z2<<endl;
		pd[bld[i].sc].fr=max(z2,lb[bld[i].sc])-q2;
		pd[bld[i].sc].sc=max(z1,rb[bld[i].sc])-q1;
		seg[0].up(1,1,n+2,bld[i].sc,pd[bld[i].sc].sc);
		seg[1].up(1,1,n+2,bld[i].sc,pd[bld[i].sc].fr);
		dsu(x2,bld[i].sc);
		dsu(fndpar(bld[i].sc),x1);
		mark[bld[i].sc]=1;
		//cout<<bld[i].sc<<" "<<pd[bld[i].sc].fr<<" "<<pd[bld[i].sc].sc<<endl;
	}
	cout<<ans-seg[1].get(1,1,n+2,1,n+2);

}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 16732 KB Output is correct
2 Correct 3 ms 16732 KB Output is correct
3 Correct 3 ms 16732 KB Output is correct
4 Correct 3 ms 16732 KB Output is correct
5 Correct 3 ms 16732 KB Output is correct
6 Correct 3 ms 16732 KB Output is correct
7 Correct 4 ms 16732 KB Output is correct
8 Correct 4 ms 16732 KB Output is correct
9 Correct 4 ms 16732 KB Output is correct
10 Correct 4 ms 16728 KB Output is correct
11 Correct 4 ms 16732 KB Output is correct
12 Correct 3 ms 16732 KB Output is correct
13 Correct 3 ms 16732 KB Output is correct
14 Correct 3 ms 16732 KB Output is correct
15 Correct 3 ms 16904 KB Output is correct
16 Correct 3 ms 16732 KB Output is correct
17 Correct 4 ms 16732 KB Output is correct
18 Correct 4 ms 16732 KB Output is correct
19 Correct 3 ms 16732 KB Output is correct
20 Correct 4 ms 16732 KB Output is correct
21 Correct 3 ms 16732 KB Output is correct
22 Correct 4 ms 16860 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 16732 KB Output is correct
2 Correct 3 ms 16732 KB Output is correct
3 Correct 3 ms 16732 KB Output is correct
4 Correct 3 ms 16732 KB Output is correct
5 Correct 3 ms 16732 KB Output is correct
6 Correct 3 ms 16732 KB Output is correct
7 Correct 4 ms 16732 KB Output is correct
8 Correct 4 ms 16732 KB Output is correct
9 Correct 4 ms 16732 KB Output is correct
10 Correct 4 ms 16728 KB Output is correct
11 Correct 4 ms 16732 KB Output is correct
12 Correct 3 ms 16732 KB Output is correct
13 Correct 3 ms 16732 KB Output is correct
14 Correct 3 ms 16732 KB Output is correct
15 Correct 3 ms 16904 KB Output is correct
16 Correct 3 ms 16732 KB Output is correct
17 Correct 4 ms 16732 KB Output is correct
18 Correct 4 ms 16732 KB Output is correct
19 Correct 3 ms 16732 KB Output is correct
20 Correct 4 ms 16732 KB Output is correct
21 Correct 3 ms 16732 KB Output is correct
22 Correct 4 ms 16860 KB Output is correct
23 Correct 6 ms 16988 KB Output is correct
24 Correct 6 ms 16988 KB Output is correct
25 Correct 5 ms 16988 KB Output is correct
26 Correct 6 ms 16988 KB Output is correct
27 Correct 6 ms 17084 KB Output is correct
28 Correct 6 ms 16988 KB Output is correct
29 Correct 6 ms 17116 KB Output is correct
30 Correct 6 ms 16988 KB Output is correct
31 Correct 6 ms 17236 KB Output is correct
32 Correct 6 ms 17120 KB Output is correct
33 Correct 5 ms 16984 KB Output is correct
34 Correct 6 ms 16988 KB Output is correct
35 Correct 5 ms 17132 KB Output is correct
36 Correct 5 ms 16988 KB Output is correct
37 Correct 5 ms 16988 KB Output is correct
38 Correct 5 ms 16984 KB Output is correct
39 Correct 5 ms 16988 KB Output is correct
40 Correct 6 ms 16988 KB Output is correct
41 Correct 5 ms 16988 KB Output is correct
42 Correct 5 ms 16984 KB Output is correct
43 Correct 6 ms 16984 KB Output is correct
44 Correct 6 ms 16984 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 16732 KB Output is correct
2 Correct 3 ms 16732 KB Output is correct
3 Correct 3 ms 16732 KB Output is correct
4 Correct 3 ms 16732 KB Output is correct
5 Correct 3 ms 16732 KB Output is correct
6 Correct 3 ms 16732 KB Output is correct
7 Correct 4 ms 16732 KB Output is correct
8 Correct 4 ms 16732 KB Output is correct
9 Correct 4 ms 16732 KB Output is correct
10 Correct 4 ms 16728 KB Output is correct
11 Correct 4 ms 16732 KB Output is correct
12 Correct 3 ms 16732 KB Output is correct
13 Correct 3 ms 16732 KB Output is correct
14 Correct 3 ms 16732 KB Output is correct
15 Correct 3 ms 16904 KB Output is correct
16 Correct 3 ms 16732 KB Output is correct
17 Correct 4 ms 16732 KB Output is correct
18 Correct 4 ms 16732 KB Output is correct
19 Correct 3 ms 16732 KB Output is correct
20 Correct 4 ms 16732 KB Output is correct
21 Correct 3 ms 16732 KB Output is correct
22 Correct 4 ms 16860 KB Output is correct
23 Correct 6 ms 16988 KB Output is correct
24 Correct 6 ms 16988 KB Output is correct
25 Correct 5 ms 16988 KB Output is correct
26 Correct 6 ms 16988 KB Output is correct
27 Correct 6 ms 17084 KB Output is correct
28 Correct 6 ms 16988 KB Output is correct
29 Correct 6 ms 17116 KB Output is correct
30 Correct 6 ms 16988 KB Output is correct
31 Correct 6 ms 17236 KB Output is correct
32 Correct 6 ms 17120 KB Output is correct
33 Correct 5 ms 16984 KB Output is correct
34 Correct 6 ms 16988 KB Output is correct
35 Correct 5 ms 17132 KB Output is correct
36 Correct 5 ms 16988 KB Output is correct
37 Correct 5 ms 16988 KB Output is correct
38 Correct 5 ms 16984 KB Output is correct
39 Correct 5 ms 16988 KB Output is correct
40 Correct 6 ms 16988 KB Output is correct
41 Correct 5 ms 16988 KB Output is correct
42 Correct 5 ms 16984 KB Output is correct
43 Correct 6 ms 16984 KB Output is correct
44 Correct 6 ms 16984 KB Output is correct
45 Correct 556 ms 44288 KB Output is correct
46 Correct 595 ms 44404 KB Output is correct
47 Correct 495 ms 43932 KB Output is correct
48 Correct 617 ms 44992 KB Output is correct
49 Correct 494 ms 44880 KB Output is correct
50 Correct 485 ms 44192 KB Output is correct
51 Correct 496 ms 43972 KB Output is correct
52 Correct 619 ms 45156 KB Output is correct
53 Correct 625 ms 45040 KB Output is correct
54 Correct 348 ms 42684 KB Output is correct
55 Correct 368 ms 43820 KB Output is correct
56 Correct 369 ms 42636 KB Output is correct
57 Correct 351 ms 42992 KB Output is correct
58 Correct 285 ms 41940 KB Output is correct
59 Correct 281 ms 41776 KB Output is correct
60 Correct 223 ms 37804 KB Output is correct
61 Correct 347 ms 44236 KB Output is correct
62 Correct 342 ms 43512 KB Output is correct
63 Correct 317 ms 43644 KB Output is correct
64 Correct 342 ms 43708 KB Output is correct
65 Correct 384 ms 42700 KB Output is correct
66 Correct 320 ms 44408 KB Output is correct