oj.uz

Submission #804217

# Submission time Handle Problem Language Result Execution time Memory
804217 2023-08-03T07:36:12 Z kshitij_sodani Radio Towers (IOI22_towers) C++17
23 / 100
 4000 ms 57140 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]);
	}
}
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);
	//	cout<<i<<":"<<le[i]<<endl;
	//	cout<<i<<":"<<re2[i]<<endl;
		if(re2[i]==n){
			dd[i][0]=-1;
		}
	}
	dfs(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);

		/*while(true){
			ss.pb(ind3);
			if(ind3==ind){
				break;
			}
			ind3=dd[ind3][0];
		}*/
	}

	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];
				}
			}
		}
		while(true){
			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:315:7: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  315 |  if(de==yy.size()){
      |     ~~^~~~~~~~~~~
towers.cpp:319:6: warning: unused variable 'low' [-Wunused-variable]
  319 |  llo low=mm.size();
      |      ^~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 1926 ms 32212 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 2 ms 2768 KB Output is correct
2 Correct 4 ms 3536 KB Output is correct
3 Correct 3 ms 3536 KB Output is correct
4 Correct 3 ms 3536 KB Output is correct
5 Correct 3 ms 3536 KB Output is correct
6 Correct 3 ms 3536 KB Output is correct
7 Correct 3 ms 3536 KB Output is correct
8 Correct 4 ms 3556 KB Output is correct
9 Correct 3 ms 3408 KB Output is correct
10 Correct 3 ms 3536 KB Output is correct
11 Correct 2 ms 3408 KB Output is correct
12 Correct 1 ms 2640 KB Output is correct
13 Correct 3 ms 3408 KB Output is correct
14 Correct 2 ms 3408 KB Output is correct
15 Correct 3 ms 3536 KB Output is correct
16 Correct 4 ms 3536 KB Output is correct
17 Correct 3 ms 3536 KB Output is correct
18 Correct 4 ms 3500 KB Output is correct
19 Correct 3 ms 3536 KB Output is correct
20 Correct 3 ms 3536 KB Output is correct
21 Correct 3 ms 3536 KB Output is correct
22 Correct 3 ms 3536 KB Output is correct
23 Correct 2 ms 3408 KB Output is correct
24 Correct 3 ms 3536 KB Output is correct
25 Correct 2 ms 3024 KB Output is correct
26 Correct 3 ms 3536 KB Output is correct
27 Correct 3 ms 3536 KB Output is correct
28 Correct 3 ms 3536 KB Output is correct
29 Correct 3 ms 3556 KB Output is correct
30 Correct 3 ms 3536 KB Output is correct
31 Correct 3 ms 3536 KB Output is correct
32 Correct 2 ms 3536 KB Output is correct
33 Correct 2 ms 3408 KB Output is correct
34 Correct 2 ms 3536 KB Output is correct
35 Correct 2 ms 3408 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2768 KB Output is correct
2 Correct 4 ms 3536 KB Output is correct
3 Correct 3 ms 3536 KB Output is correct
4 Correct 3 ms 3536 KB Output is correct
5 Correct 3 ms 3536 KB Output is correct
6 Correct 3 ms 3536 KB Output is correct
7 Correct 3 ms 3536 KB Output is correct
8 Correct 4 ms 3556 KB Output is correct
9 Correct 3 ms 3408 KB Output is correct
10 Correct 3 ms 3536 KB Output is correct
11 Correct 2 ms 3408 KB Output is correct
12 Correct 1 ms 2640 KB Output is correct
13 Correct 3 ms 3408 KB Output is correct
14 Correct 2 ms 3408 KB Output is correct
15 Correct 3 ms 3536 KB Output is correct
16 Correct 4 ms 3536 KB Output is correct
17 Correct 3 ms 3536 KB Output is correct
18 Correct 4 ms 3500 KB Output is correct
19 Correct 3 ms 3536 KB Output is correct
20 Correct 3 ms 3536 KB Output is correct
21 Correct 3 ms 3536 KB Output is correct
22 Correct 3 ms 3536 KB Output is correct
23 Correct 2 ms 3408 KB Output is correct
24 Correct 3 ms 3536 KB Output is correct
25 Correct 2 ms 3024 KB Output is correct
26 Correct 3 ms 3536 KB Output is correct
27 Correct 3 ms 3536 KB Output is correct
28 Correct 3 ms 3536 KB Output is correct
29 Correct 3 ms 3556 KB Output is correct
30 Correct 3 ms 3536 KB Output is correct
31 Correct 3 ms 3536 KB Output is correct
32 Correct 2 ms 3536 KB Output is correct
33 Correct 2 ms 3408 KB Output is correct
34 Correct 2 ms 3536 KB Output is correct
35 Correct 2 ms 3408 KB Output is correct
36 Correct 69 ms 33956 KB Output is correct
37 Correct 107 ms 52820 KB Output is correct
38 Correct 113 ms 52772 KB Output is correct
39 Correct 129 ms 56960 KB Output is correct
40 Correct 146 ms 56948 KB Output is correct
41 Correct 128 ms 56928 KB Output is correct
42 Correct 138 ms 56984 KB Output is correct
43 Correct 76 ms 55588 KB Output is correct
44 Correct 69 ms 49032 KB Output is correct
45 Correct 80 ms 53992 KB Output is correct
46 Correct 71 ms 48276 KB Output is correct
47 Correct 110 ms 52928 KB Output is correct
48 Correct 119 ms 57024 KB Output is correct
49 Correct 122 ms 56980 KB Output is correct
50 Correct 71 ms 48952 KB Output is correct
51 Correct 80 ms 55468 KB Output is correct
52 Correct 124 ms 52840 KB Output is correct
53 Correct 125 ms 56956 KB Output is correct
54 Correct 123 ms 56952 KB Output is correct
55 Correct 77 ms 49048 KB Output is correct
56 Correct 100 ms 55116 KB Output is correct
57 Correct 111 ms 51276 KB Output is correct
58 Correct 108 ms 52760 KB Output is correct
59 Correct 117 ms 52800 KB Output is correct
60 Correct 161 ms 56928 KB Output is correct
61 Correct 151 ms 56968 KB Output is correct
62 Correct 120 ms 56980 KB Output is correct
63 Correct 129 ms 57140 KB Output is correct
64 Correct 85 ms 55664 KB Output is correct
65 Correct 71 ms 49120 KB Output is correct
66 Correct 114 ms 53160 KB Output is correct
67 Correct 71 ms 48900 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2953 ms 52512 KB Output is correct
2 Correct 3749 ms 52812 KB Output is correct
3 Incorrect 3293 ms 52756 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 987 ms 14032 KB Output is correct
2 Execution timed out 4045 ms 52836 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2768 KB Output is correct
2 Correct 4 ms 3536 KB Output is correct
3 Correct 3 ms 3536 KB Output is correct
4 Correct 3 ms 3536 KB Output is correct
5 Correct 3 ms 3536 KB Output is correct
6 Correct 3 ms 3536 KB Output is correct
7 Correct 3 ms 3536 KB Output is correct
8 Correct 4 ms 3556 KB Output is correct
9 Correct 3 ms 3408 KB Output is correct
10 Correct 3 ms 3536 KB Output is correct
11 Correct 2 ms 3408 KB Output is correct
12 Correct 1 ms 2640 KB Output is correct
13 Correct 3 ms 3408 KB Output is correct
14 Correct 2 ms 3408 KB Output is correct
15 Correct 3 ms 3536 KB Output is correct
16 Correct 4 ms 3536 KB Output is correct
17 Correct 3 ms 3536 KB Output is correct
18 Correct 4 ms 3500 KB Output is correct
19 Correct 3 ms 3536 KB Output is correct
20 Correct 3 ms 3536 KB Output is correct
21 Correct 3 ms 3536 KB Output is correct
22 Correct 3 ms 3536 KB Output is correct
23 Correct 2 ms 3408 KB Output is correct
24 Correct 3 ms 3536 KB Output is correct
25 Correct 2 ms 3024 KB Output is correct
26 Correct 3 ms 3536 KB Output is correct
27 Correct 3 ms 3536 KB Output is correct
28 Correct 3 ms 3536 KB Output is correct
29 Correct 3 ms 3556 KB Output is correct
30 Correct 3 ms 3536 KB Output is correct
31 Correct 3 ms 3536 KB Output is correct
32 Correct 2 ms 3536 KB Output is correct
33 Correct 2 ms 3408 KB Output is correct
34 Correct 2 ms 3536 KB Output is correct
35 Correct 2 ms 3408 KB Output is correct
36 Correct 69 ms 33956 KB Output is correct
37 Correct 107 ms 52820 KB Output is correct
38 Correct 113 ms 52772 KB Output is correct
39 Correct 129 ms 56960 KB Output is correct
40 Correct 146 ms 56948 KB Output is correct
41 Correct 128 ms 56928 KB Output is correct
42 Correct 138 ms 56984 KB Output is correct
43 Correct 76 ms 55588 KB Output is correct
44 Correct 69 ms 49032 KB Output is correct
45 Correct 80 ms 53992 KB Output is correct
46 Correct 71 ms 48276 KB Output is correct
47 Correct 110 ms 52928 KB Output is correct
48 Correct 119 ms 57024 KB Output is correct
49 Correct 122 ms 56980 KB Output is correct
50 Correct 71 ms 48952 KB Output is correct
51 Correct 80 ms 55468 KB Output is correct
52 Correct 124 ms 52840 KB Output is correct
53 Correct 125 ms 56956 KB Output is correct
54 Correct 123 ms 56952 KB Output is correct
55 Correct 77 ms 49048 KB Output is correct
56 Correct 100 ms 55116 KB Output is correct
57 Correct 111 ms 51276 KB Output is correct
58 Correct 108 ms 52760 KB Output is correct
59 Correct 117 ms 52800 KB Output is correct
60 Correct 161 ms 56928 KB Output is correct
61 Correct 151 ms 56968 KB Output is correct
62 Correct 120 ms 56980 KB Output is correct
63 Correct 129 ms 57140 KB Output is correct
64 Correct 85 ms 55664 KB Output is correct
65 Correct 71 ms 49120 KB Output is correct
66 Correct 114 ms 53160 KB Output is correct
67 Correct 71 ms 48900 KB Output is correct
68 Correct 2953 ms 52512 KB Output is correct
69 Correct 3749 ms 52812 KB Output is correct
70 Incorrect 3293 ms 52756 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 1926 ms 32212 KB 18th lines differ - on the 1st token, expected: '1', found: '-1'
2 Halted 0 ms 0 KB -