oj.uz

Submission #804272

# Submission time Handle Problem Language Result Execution time Memory
804272 2023-08-03T07:44:08 Z kshitij_sodani Radio Towers (IOI22_towers) C++17
23 / 100
 4000 ms 83796 KB 
#include <bits/stdc++.h>
using namespace std;
#define a first
#define b second
#define pb push_back
typedef long long llo;
#include "towers.h"

#include <vector>
int st=0;
int n;
vector<int> it;
int tree[4*200001][2];

void build(int no,int l,int r){
	if(l==r){
		tree[no][0]=it[l];
		tree[no][1]=it[l];
	}
	else{
		int mid=(l+r)/2;
		build(no*2+1,l,mid);
		build(no*2+2,mid+1,r);
		tree[no][0]=min(tree[no*2+1][0],tree[no*2+2][0]);
		tree[no][1]=max(tree[no*2+1][1],tree[no*2+2][1]);
	}
}
int query(int no,int l,int r,int aa,int bb){
	if(r<aa or l>bb or aa>bb){
		return 1e9+1;
	}
	if(aa<=l and r<=bb){
		return tree[no][0];
	}
	int mid=(l+r)/2;
	return min(query(no*2+1,l,mid,aa,bb),query(no*2+2,mid+1,r,aa,bb));
}
int query2(int no,int l,int r,int aa,int bb){
	if(r<aa or l>bb or aa>bb){
		return -1;
	}
	if(aa<=l and r<=bb){
		return tree[no][1];
	}
	int mid=(l+r)/2;
	return max(query2(no*2+1,l,mid,aa,bb),query2(no*2+2,mid+1,r,aa,bb));
}
vector<int> mm;

void init(int nn, vector<int> ita) {
	n=nn;
	it=ita;
	st=0;
	build(0,0,n-1);
	
}
int le[100001];
int re2[100001];
int cc[100001][20];
int dd[100001][20];
int val[100001];
int tree2[4*200001];
int tree3[4*200001];

void build2(int no,int l,int r){
	if(l==r){
		tree2[no]=le[l];
		tree3[no]=re2[l];
	}
	else{
		int mid=(l+r)/2;
		build2(no*2+1,l,mid);
		build2(no*2+2,mid+1,r);
		tree2[no]=min(tree2[no*2+1],tree2[no*2+2]);
		tree3[no]=max(tree3[no*2+1],tree3[no*2+2]);
	}
}
int find(int no,int l,int r,int aa,int bb,int x){
	//find first with val less than x
	if(r<aa or l>bb or aa>bb){
		return -1;
	}
	if(l==r){
		if(tree2[no]<x){
			return l;
		}
		return -1;
	}
	if(tree2[no]>=x){
		return -1;
	}
	int mid=(l+r)/2;
	int xx=find(no*2+1,l,mid,aa,bb,x);
	if(xx>=0){
		return xx;
	}
	return find(no*2+2,mid+1,r,aa,bb,x);
}
int find2(int no,int l,int r,int aa,int bb,int x){
	//find first with val less than x
	if(r<aa or l>bb or aa>bb){
		return -1;
	}
	if(l==r){
		if(tree3[no]>x){
			return l;
		}
		return -1;
	}
	if(tree3[no]<=x){
		return -1;
	}
	int mid=(l+r)/2;
	int xx=find2(no*2+2,mid+1,r,aa,bb,x);
	if(xx>=0){
		return xx;
	}
	return find2(no*2+1,l,mid,aa,bb,x);
}
vector<int> adj[100001];
set<int> xa;
vector<pair<int,int>> yy;
int cot[100001*100];
int ll[100001*100];
int rr[100001*100];
int ba[100001];
int ne=0;
int update(int no,int l,int r,int i,int x){
	if(l==r){
		int sta=ne;
		ne++;
		ll[sta]=-1;
		rr[sta]=-1;
		cot[sta]=cot[no]+x;
		return sta;
	}
	else{
		int mid=(l+r)/2;
		int sta=ne;
		ne++;
		if(i<=mid){
			rr[sta]=rr[no];
			if(ll[no]==-1){
				ll[no]=ne;
				ne++;
				ll[ll[no]]=-1;
				rr[ll[no]]=-1;
				cot[ll[no]]=0;
			}
			ll[sta]=update(ll[no],l,mid,i,x);
		}
		else{
			ll[sta]=ll[no];

			if(rr[no]==-1){
				rr[no]=ne;
				ne++;
				rr[rr[no]]=-1;
				ll[rr[no]]=-1;
				cot[rr[no]]=0;
			}
			rr[sta]=update(rr[no],mid+1,r,i,x);
		}
		cot[sta]=0;
		if(ll[sta]>=0){
			cot[sta]+=cot[ll[sta]];
		}
		if(rr[sta]>=0){
			cot[sta]+=cot[rr[sta]];
		}
		return sta;
	}
}
int query5(int no,int l,int r,int aa,int bb){
	if(r<aa or l>bb or aa>bb){
		return 0;
	}
	if(aa<=l and r<=bb){
		return cot[no];
	}
	int mid=(l+r)/2;
	int su=0;
	if(ll[no]>=0){
		su+=query5(ll[no],l,mid,aa,bb);
	}
	if(rr[no]>=0){
		su+=query5(rr[no],mid+1,r,aa,bb);
	}
	return su;
}	
void dfs(int no,int par=-1){
	if(par==-1){
		par=ne;
		ll[ne]=-1;
		rr[ne]=-1;
		ne++;
	}
	else{
	}
	if(par!=-1){
		ba[no]=update(par,0,n-1,val[no],1);
	}
	else{
		ba[no]=par;

	}
	for(auto j:adj[no]){
		dfs(j,ba[no]);
	}
}
vector<int> adj2[100001];
int ba2[100001];
void dfs2(int no,int par=-1){
	if(par==-1){
		par=ne;
		ll[ne]=-1;
		rr[ne]=-1;
		ne++;
	}
	else{
	}
	if(par!=-1){
		ba2[no]=update(par,0,n-1,val[no],1);
	}
	else{
		ba2[no]=par;
	}
	for(auto j:adj2[no]){
		dfs2(j,ba2[no]);
	}
}
void rec(int l,int r){
	mm.clear();
	vector<pair<llo,llo>> ss;
	for(int i=r;i>=l;i--){
		while(ss.size()){
			if(ss.back().a<=it[i]){
				ss.pop_back();
			}
			else{
				break;
			}
		}
		re2[i]=n;
		if(ss.size()){
			re2[i]=ss.back().b;
		}
		ss.pb({it[i],i});
	}
	ss.clear();
	for(int i=l;i<=r;i++){
		while(ss.size()){
			if(ss.back().a<it[i]){
				ss.pop_back();
			}
			else{
				break;
			}
		}
		le[i]=-1;
		if(ss.size()){
			le[i]=ss.back().b;
		}
		ss.pb({it[i],i});
	}
	for(int i=0;i<n;i++){
		int x=it[i]-query(0,0,n-1,le[i]+1,i);
		int y=it[i]-query(0,0,n-1,i,re2[i]-1);
		val[i]=min(x,y);
		xa.insert(val[i]);
		mm.pb(min(x,y));
	}
	int ind7=0;
	map<int,int> kk;
	for(auto j:xa){
		kk[j]=ind7;
		yy.pb({j,ind7});
		ind7++;
	}
	for(int i=0;i<n;i++){
		val[i]=kk[val[i]];
	}
	

	for(int i=0;i<n;i++){
		cc[i][0]=le[i];
		dd[i][0]=re2[i];
		adj[dd[i][0]].pb(i);
		if(cc[i][0]==-1){
			adj2[n].pb(i);
		}
		else{
			adj2[cc[i][0]].pb(i);
		}
	//	cout<<i<<":"<<le[i]<<endl;
	//	cout<<i<<":"<<re2[i]<<endl;
		if(re2[i]==n){
			dd[i][0]=-1;
		}
	}
	dfs(n);
	dfs2(n);

	for(int j=1;j<20;j++){
		for(int i=0;i<n;i++){
			if(cc[i][j-1]==-1){
				cc[i][j]=-1;
			}
			else{
				cc[i][j]=cc[cc[i][j-1]][j-1];
			}
		}
	}
	for(int j=1;j<20;j++){
		for(int i=0;i<n;i++){
			if(dd[i][j-1]==-1){
				dd[i][j]=-1;
			}
			else{
				dd[i][j]=dd[dd[i][j-1]][j-1];
			}
		}
	}
	build2(0,0,n-1);
	sort(mm.begin(),mm.end());

}

int max_towers(int l, int r, int d) {
	if(st==0){
		rec(0,n-1);
		st=1;
	}
	int de=yy.size();

	for(int j=19;j>=0;j--){
		if(de-(1<<j)>=0){
			if(yy[de-(1<<j)].a>=d){
				de-=(1<<j);
			}
		}	
	}

	if(de==yy.size()){
		return 1;
	}
	
	llo low=mm.size();
	llo su=0;
	for(int i=l;i<=r;i++){
		if(val[i]>=de){
			su++;
		}
	}
	int ind=find(0,0,n-1,l,r,l);

	int ind2=ind;
	for(int j=19;j>=0;j--){
		if(dd[ind2][j]<=r and dd[ind2][j]>=0){
			ind2=dd[ind2][j];
		}
	}
	vector<llo> ss;
	int ind3=-1;
	if(query(0,0,n-1,l,ind-1)>it[ind]-d){
		ind3=ind;
		for(int j=19;j>=0;j--){
			if(dd[ind][j]<=r and dd[ind][j]>=0){
				if(query(0,0,n-1,l,dd[ind][j]-1)>it[dd[ind][j]]-d){
					ind=dd[ind][j];
				}
			}
		}		
		llo zot=query5(ba[ind3],0,n-1,de,n-1);
		zot-=query5(ba[re2[ind]],0,n-1,de,n-1);
		su-=zot;
		ss.pb(ind);

	}

	pair<int,int> ll={ind3,ind};

	//from ind3 to ind
	//return su;
	vector<int> tt;
	ind=-1;
	ind=find2(0,0,n-1,l,r,r);

	ind3=-1;
	if(query(0,0,n-1,ind+1,r)<=it[ind]-d){
	}
	else{
		ind3=ind;
		for(int j=19;j>=0;j--){
			if(cc[ind][j]>=l){
				if(query(0,0,n-1,cc[ind][j]+1,r)>it[cc[ind][j]]-d){
					ind=cc[ind][j];
				}
			}
		}
		llo zot=query5(ba2[ind3],0,n-1,de,n-1);
		if(cc[ind][0]==-1){
			zot-=query5(ba2[n],0,n-1,de,n-1);
		}
		else{
			zot-=query5(ba2[cc[ind][0]],0,n-1,de,n-1);
		}
		su-=zot;

	/*	while(true){
			if(val[ind3]>=de){
				su--;

			}
		//	tt.pb(ind3);
			if(ind3==ind){
				break;
			}
			ind3=cc[ind3][0];
		}*/
	}
	pair<int,int> rr={ind3,ind};
/*	for(auto j:ss){
		if(val[j]>=de){
			su--;
		}
	}*/
/*	for(auto j:tt){
		if(val[j]>=de){
			su--;
		}
	}*/
	if(ll.a>=0 and rr.a>=0){
		if(rr.b==ind2 and ll.b==ind2){
			if(val[rr.b]>=de){
				su--;
			}
		}
	}
	
	su++;
	return su;
}

Compilation message

towers.cpp: In function 'int max_towers(int, int, int)':
towers.cpp:344:7: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  344 |  if(de==yy.size()){
      |     ~~^~~~~~~~~~~
towers.cpp:348:6: warning: unused variable 'low' [-Wunused-variable]
  348 |  llo low=mm.size();
      |      ^~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 1403 ms 47232 KB 18th lines differ - on the 1st token, expected: '1', found: '-1'
2 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5236 KB Output is correct
2 Correct 5 ms 6224 KB Output is correct
3 Correct 4 ms 6224 KB Output is correct
4 Correct 5 ms 6224 KB Output is correct
5 Correct 4 ms 6224 KB Output is correct
6 Correct 4 ms 6224 KB Output is correct
7 Correct 5 ms 6224 KB Output is correct
8 Correct 5 ms 6272 KB Output is correct
9 Correct 5 ms 6224 KB Output is correct
10 Correct 4 ms 6224 KB Output is correct
11 Correct 4 ms 6264 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 5 ms 6224 KB Output is correct
14 Correct 4 ms 6224 KB Output is correct
15 Correct 4 ms 6220 KB Output is correct
16 Correct 4 ms 6224 KB Output is correct
17 Correct 5 ms 6272 KB Output is correct
18 Correct 5 ms 6224 KB Output is correct
19 Correct 4 ms 6224 KB Output is correct
20 Correct 4 ms 6300 KB Output is correct
21 Correct 4 ms 6224 KB Output is correct
22 Correct 4 ms 6268 KB Output is correct
23 Correct 4 ms 6320 KB Output is correct
24 Correct 4 ms 6244 KB Output is correct
25 Correct 4 ms 5632 KB Output is correct
26 Correct 5 ms 6224 KB Output is correct
27 Correct 4 ms 6224 KB Output is correct
28 Correct 5 ms 6224 KB Output is correct
29 Correct 5 ms 6224 KB Output is correct
30 Correct 6 ms 6264 KB Output is correct
31 Correct 4 ms 6224 KB Output is correct
32 Correct 4 ms 6272 KB Output is correct
33 Correct 5 ms 6272 KB Output is correct
34 Correct 5 ms 6152 KB Output is correct
35 Correct 5 ms 6224 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5236 KB Output is correct
2 Correct 5 ms 6224 KB Output is correct
3 Correct 4 ms 6224 KB Output is correct
4 Correct 5 ms 6224 KB Output is correct
5 Correct 4 ms 6224 KB Output is correct
6 Correct 4 ms 6224 KB Output is correct
7 Correct 5 ms 6224 KB Output is correct
8 Correct 5 ms 6272 KB Output is correct
9 Correct 5 ms 6224 KB Output is correct
10 Correct 4 ms 6224 KB Output is correct
11 Correct 4 ms 6264 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 5 ms 6224 KB Output is correct
14 Correct 4 ms 6224 KB Output is correct
15 Correct 4 ms 6220 KB Output is correct
16 Correct 4 ms 6224 KB Output is correct
17 Correct 5 ms 6272 KB Output is correct
18 Correct 5 ms 6224 KB Output is correct
19 Correct 4 ms 6224 KB Output is correct
20 Correct 4 ms 6300 KB Output is correct
21 Correct 4 ms 6224 KB Output is correct
22 Correct 4 ms 6268 KB Output is correct
23 Correct 4 ms 6320 KB Output is correct
24 Correct 4 ms 6244 KB Output is correct
25 Correct 4 ms 5632 KB Output is correct
26 Correct 5 ms 6224 KB Output is correct
27 Correct 4 ms 6224 KB Output is correct
28 Correct 5 ms 6224 KB Output is correct
29 Correct 5 ms 6224 KB Output is correct
30 Correct 6 ms 6264 KB Output is correct
31 Correct 4 ms 6224 KB Output is correct
32 Correct 4 ms 6272 KB Output is correct
33 Correct 5 ms 6272 KB Output is correct
34 Correct 5 ms 6152 KB Output is correct
35 Correct 5 ms 6224 KB Output is correct
36 Correct 86 ms 51164 KB Output is correct
37 Correct 163 ms 79012 KB Output is correct
38 Correct 153 ms 78908 KB Output is correct
39 Correct 181 ms 83656 KB Output is correct
40 Correct 164 ms 83796 KB Output is correct
41 Correct 180 ms 83604 KB Output is correct
42 Correct 160 ms 83620 KB Output is correct
43 Correct 94 ms 79908 KB Output is correct
44 Correct 109 ms 79992 KB Output is correct
45 Correct 112 ms 78392 KB Output is correct
46 Correct 110 ms 77652 KB Output is correct
47 Correct 148 ms 79096 KB Output is correct
48 Correct 153 ms 83700 KB Output is correct
49 Correct 177 ms 83516 KB Output is correct
50 Correct 102 ms 79928 KB Output is correct
51 Correct 125 ms 79796 KB Output is correct
52 Correct 155 ms 78916 KB Output is correct
53 Correct 153 ms 83384 KB Output is correct
54 Correct 153 ms 83568 KB Output is correct
55 Correct 95 ms 79900 KB Output is correct
56 Correct 103 ms 79360 KB Output is correct
57 Correct 145 ms 76712 KB Output is correct
58 Correct 153 ms 78972 KB Output is correct
59 Correct 145 ms 79104 KB Output is correct
60 Correct 150 ms 83672 KB Output is correct
61 Correct 162 ms 83716 KB Output is correct
62 Correct 168 ms 83580 KB Output is correct
63 Correct 160 ms 83776 KB Output is correct
64 Correct 96 ms 79880 KB Output is correct
65 Correct 99 ms 79984 KB Output is correct
66 Correct 97 ms 77500 KB Output is correct
67 Correct 95 ms 79556 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2505 ms 78500 KB Output is correct
2 Correct 3290 ms 79252 KB Output is correct
3 Incorrect 3264 ms 78988 KB 18409th lines differ - on the 1st token, expected: '1', found: '-1'
4 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 789 ms 21576 KB Output is correct
2 Execution timed out 4074 ms 78980 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5236 KB Output is correct
2 Correct 5 ms 6224 KB Output is correct
3 Correct 4 ms 6224 KB Output is correct
4 Correct 5 ms 6224 KB Output is correct
5 Correct 4 ms 6224 KB Output is correct
6 Correct 4 ms 6224 KB Output is correct
7 Correct 5 ms 6224 KB Output is correct
8 Correct 5 ms 6272 KB Output is correct
9 Correct 5 ms 6224 KB Output is correct
10 Correct 4 ms 6224 KB Output is correct
11 Correct 4 ms 6264 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 5 ms 6224 KB Output is correct
14 Correct 4 ms 6224 KB Output is correct
15 Correct 4 ms 6220 KB Output is correct
16 Correct 4 ms 6224 KB Output is correct
17 Correct 5 ms 6272 KB Output is correct
18 Correct 5 ms 6224 KB Output is correct
19 Correct 4 ms 6224 KB Output is correct
20 Correct 4 ms 6300 KB Output is correct
21 Correct 4 ms 6224 KB Output is correct
22 Correct 4 ms 6268 KB Output is correct
23 Correct 4 ms 6320 KB Output is correct
24 Correct 4 ms 6244 KB Output is correct
25 Correct 4 ms 5632 KB Output is correct
26 Correct 5 ms 6224 KB Output is correct
27 Correct 4 ms 6224 KB Output is correct
28 Correct 5 ms 6224 KB Output is correct
29 Correct 5 ms 6224 KB Output is correct
30 Correct 6 ms 6264 KB Output is correct
31 Correct 4 ms 6224 KB Output is correct
32 Correct 4 ms 6272 KB Output is correct
33 Correct 5 ms 6272 KB Output is correct
34 Correct 5 ms 6152 KB Output is correct
35 Correct 5 ms 6224 KB Output is correct
36 Correct 86 ms 51164 KB Output is correct
37 Correct 163 ms 79012 KB Output is correct
38 Correct 153 ms 78908 KB Output is correct
39 Correct 181 ms 83656 KB Output is correct
40 Correct 164 ms 83796 KB Output is correct
41 Correct 180 ms 83604 KB Output is correct
42 Correct 160 ms 83620 KB Output is correct
43 Correct 94 ms 79908 KB Output is correct
44 Correct 109 ms 79992 KB Output is correct
45 Correct 112 ms 78392 KB Output is correct
46 Correct 110 ms 77652 KB Output is correct
47 Correct 148 ms 79096 KB Output is correct
48 Correct 153 ms 83700 KB Output is correct
49 Correct 177 ms 83516 KB Output is correct
50 Correct 102 ms 79928 KB Output is correct
51 Correct 125 ms 79796 KB Output is correct
52 Correct 155 ms 78916 KB Output is correct
53 Correct 153 ms 83384 KB Output is correct
54 Correct 153 ms 83568 KB Output is correct
55 Correct 95 ms 79900 KB Output is correct
56 Correct 103 ms 79360 KB Output is correct
57 Correct 145 ms 76712 KB Output is correct
58 Correct 153 ms 78972 KB Output is correct
59 Correct 145 ms 79104 KB Output is correct
60 Correct 150 ms 83672 KB Output is correct
61 Correct 162 ms 83716 KB Output is correct
62 Correct 168 ms 83580 KB Output is correct
63 Correct 160 ms 83776 KB Output is correct
64 Correct 96 ms 79880 KB Output is correct
65 Correct 99 ms 79984 KB Output is correct
66 Correct 97 ms 77500 KB Output is correct
67 Correct 95 ms 79556 KB Output is correct
68 Correct 2505 ms 78500 KB Output is correct
69 Correct 3290 ms 79252 KB Output is correct
70 Incorrect 3264 ms 78988 KB 18409th lines differ - on the 1st token, expected: '1', found: '-1'
71 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 1403 ms 47232 KB 18th lines differ - on the 1st token, expected: '1', found: '-1'
2 Halted 0 ms 0 KB -