oj.uz

Submission #252455

# Submission time Handle Problem Language Result Execution time Memory
252455 2020-07-25T15:39:37 Z shayan_p Circle selection (APIO18_circle_selection) C++14
0 / 100
 3000 ms 97648 KB 
// And you curse yourself for things you never done

#include<bits/stdc++.h>

#define F first
#define S second
#define PB push_back
#define sz(s) int((s).size())
#define bit(n,k) (((n)>>(k))&1)

using namespace std;

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

const int maxn = 3e5 + 10, mod = 1e9 + 7, inf = 1e9 + 10;
const ll INF = 1e18;

pair<pii, int> p[maxn];
int arr[maxn], ans[maxn];

pii operator - (pii a, pii b){
    return {a.F - b.F, a.S - b.S};
}
pii operator + (pii a, pii b){
    return {a.F + b.F, a.S + b.S};
}
ll operator ^ (pii a, pii b){
    return 1ll * a.F * b.F + 1ll * a.S * b.S;
}
bool ok(int i, int j){
    return 1ll * (p[j].S + p[i].S) * (p[j].S + p[i].S) >= ((p[i].F - p[j].F) ^ (p[i].F - p[j].F));
}

const int FX = 100000;

vector<int> val, fs;
set<int> stock;////////////

void push(int &lst, int x){
    fs.PB(lst);
    lst = sz(val);
    val.PB(x);
}

struct node{
    node *L = 0, *R = 0;
    ll bst[4];
    int lst = -1;
    node(){
    	fill(bst, bst + 4, inf);
    }
    void add(int x, int l = -inf, int r = inf){ // x id e
	for(int msk = 0; msk < 4; msk++)	    
	    bst[msk] = -INF; //	    bst[msk] = min(bst[msk], 1ll * (bit(msk, 0) ? 1 : -1) * p[x].F.F + 1ll * (bit(msk, 1) ? 1 : -1) * p[x].F.S - 1ll * p[x].S - 1ll * p[x].S - 1ll * p[x].S - 1ll * p[x].S - 1ll * p[x].S);
	if(r-l == 1){
	    push(lst, x);
	    return;
	}
	int mid = (l+r) / 2;
	if(p[x].F.S < mid){
	    if(!L)
		L = new node();
	    L->add(x, l, mid);
	}
	else{
	    if(!R)
		R = new node();
	    R->add(x, mid, r);
	}	    
    }
    void ask(int pos, int pos2, int cof, int l = -inf, int r = inf){
	if(sz(stock) == FX)
	    return;
	if(r <= pos2){
	    if(-1ll * cof * pos + 1ll * pos2 + bst[ (cof == 1) ] > 0)
		//  if(bst[ (cof == 1) ] > 0)
		return;
	}
	if(pos2 <= l){
	    if(-1ll * cof * pos - 1ll * pos2 + bst[ (cof == 1) + 2] > 0)
		//  if(bst[ (cof == 1) + 2 ] > 0)
		return;
	}
	if(r-l == 1){
	    int pt = lst;
	    while(sz(stock) < FX && pt != -1)
		stock.insert(val[pt]), pt = fs[pt]; //////
	    return;
	}
	int mid = (l+r) / 2;
	if(L)
	    L->ask(pos, pos2, cof, l, mid);
	if(R)
	    R->ask(pos, pos2, cof, mid, r);	    
    }
};
struct node2{
    node2 *L = 0, *R = 0;
    node* seg = 0;
    void add(int x, int l = -inf, int r = inf){
	if(!seg)
	    seg = new node();
	seg->add(x);
	if(r-l == 1)
	    return;
	int mid = (l+r) / 2;
	if(p[x].F.F < mid){
	    if(!L)
		L = new node2();
	    L->add(x, l, mid);
	}
	else{
	    if(!R)
		R = new node2();
	    R->add(x, mid, r);
	}	    
    }
    void ask(int pos, int pos2, int l = -inf, int r = inf){
	if(r <= pos){
	    if(seg)
		seg->ask(pos, pos2, -1);
	    return;
	}
	if(pos <= l){
	    if(seg)
		seg->ask(pos, pos2, 1);
	    return;
	}
	int mid = (l+r) / 2;
	if(L)
	    L->ask(pos, pos2, l, mid);
	if(R)
	    R->ask(pos, pos2, mid, r);	    
    }
};

int main(){
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie();

    node2* root = new node2();
    
    int n;
    cin >> n;
    for(int i = 0; i < n; i++){
	cin >> p[i].F.F >> p[i].F.S >> p[i].S;
	arr[i] = i;
    }
    auto cmp = [](int i, int j){
		   return (p[i].S == p[j].S ? i > j : p[i].S < p[j].S);
	       };
    sort(arr, arr + n, cmp);

    set<int> sttt;
    
    for(int i = n-1; i >= 0; i--){
	int I = arr[i];
	//	cout << "IN " << I + 1 << endl;
	stock.clear();
	for(int msk = 0; msk < 4; msk++)
	    root->ask(p[I].F.F + (bit(msk, 0) ? 1 : -1) * p[I].S, p[i].F.S + (bit(msk, 1) ? 1 : -1) * p[I].S);

	assert(sttt == stock);
	
	for(int id : stock){
	    //	    cout << "STOCK " << id + 1 << endl;
	    if(ok(I, id)){
		if(ans[I] == 0 || cmp(ans[I] - 1, id))
		    ans[I] = id + 1;
	    }
	}
	if(ans[I] == 0){
	    ans[I] = I + 1;
	    root->add(I);


	    sttt.insert(I);
	}
    }
    for(int i = 0; i < n; i++){
	cout << ans[i] << " ";
    }
    return cout << endl, 0;
}

Subtask #1
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 512 KB Output is correct
3 Correct 0 ms 512 KB Output is correct
4 Correct 0 ms 512 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 12 ms 6400 KB Output is correct
12 Correct 11 ms 6016 KB Output is correct
13 Correct 13 ms 6528 KB Output is correct
14 Correct 13 ms 6400 KB Output is correct
15 Correct 12 ms 6016 KB Output is correct
16 Correct 2 ms 640 KB Output is correct
17 Correct 4 ms 512 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 7 ms 512 KB Output is correct
20 Correct 7 ms 512 KB Output is correct
21 Correct 12 ms 896 KB Output is correct
22 Execution timed out 3104 ms 89456 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 502 ms 8584 KB Output is correct
2 Correct 739 ms 8440 KB Output is correct
3 Correct 648 ms 8184 KB Output is correct
4 Correct 486 ms 8440 KB Output is correct
5 Execution timed out 3099 ms 39024 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1408 KB Output is correct
2 Execution timed out 3105 ms 97392 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3105 ms 97648 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 512 KB Output is correct
3 Correct 0 ms 512 KB Output is correct
4 Correct 0 ms 512 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 12 ms 6400 KB Output is correct
12 Correct 11 ms 6016 KB Output is correct
13 Correct 13 ms 6528 KB Output is correct
14 Correct 13 ms 6400 KB Output is correct
15 Correct 12 ms 6016 KB Output is correct
16 Correct 2 ms 640 KB Output is correct
17 Correct 4 ms 512 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 7 ms 512 KB Output is correct
20 Correct 7 ms 512 KB Output is correct
21 Correct 12 ms 896 KB Output is correct
22 Execution timed out 3104 ms 89456 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 512 KB Output is correct
3 Correct 0 ms 512 KB Output is correct
4 Correct 0 ms 512 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 12 ms 6400 KB Output is correct
12 Correct 11 ms 6016 KB Output is correct
13 Correct 13 ms 6528 KB Output is correct
14 Correct 13 ms 6400 KB Output is correct
15 Correct 12 ms 6016 KB Output is correct
16 Correct 2 ms 640 KB Output is correct
17 Correct 4 ms 512 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 7 ms 512 KB Output is correct
20 Correct 7 ms 512 KB Output is correct
21 Correct 12 ms 896 KB Output is correct
22 Execution timed out 3104 ms 89456 KB Time limit exceeded
23 Halted 0 ms 0 KB -