Submission #252496

# Submission time Handle Problem Language Result Execution time Memory
252496 2020-07-25T17:15:18 Z shayan_p Circle selection (APIO18_circle_selection) C++14
87 / 100
2457 ms 180428 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 = 13; ////////

vector<int> vx, vy;    

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

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

struct node{
    set<pair<pii, int> > st;
    void add(int f, int s, int x){
	st.insert({{f, s}, x});
    }
    void ask(int pos){
	auto it = st.lower_bound( (pair<pii, int>){ {pos + 1, -1}, -1} );
	int bad = 1;
	while(sz(stock) < FX && it != st.begin()){
	    --it;
	    if(pos <= (it->F.S))
		stock.PB(it->S);
	    else{
		if(--bad == 0)
		    break;
	    }
	}
    }
};
struct node2{
    node2 *L = 0, *R = 0;
    node* seg = 0;
    void add(int f, int s, int f2, int s2, int x, int l = 0, int r = sz(vx)-1){
	if(f <= vx[l] && vx[r] <= s){
	    if(!seg)
		seg = new node();
	    seg->add(f2, s2, x);
	    return;
	}
	if(r-l == 1)
	    return;
	int mid = (l+r) >> 1;	
	if(max(f, vx[l]) < min(s, vx[mid])){
	    if(!L)
		L = new node2();
	    L->add(f, s, f2, s2, x, l, mid);
	}
	if(max(f, vx[mid]) < min(s, vx[r])){
	    if(!R)
		R = new node2();
	    R->add(f, s, f2, s2, x, mid, r);
	}
    }
    void ask(int pos, int pos2, int l = 0, int r = sz(vx)-1){
	if(seg)
	    seg->ask(pos2);
	if(r-l == 1)
	    return;
	int mid = (l+r) >> 1;
	if(pos < vx[mid] && L)
	    L->ask(pos, pos2, l, mid);
	if(vx[mid] <= pos && 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;
	
	vx.PB(p[i].F.F - p[i].S);
	vx.PB(p[i].F.F + p[i].S + 1);
	
	vy.PB(p[i].F.S - p[i].S);
	vy.PB(p[i].F.S + p[i].S + 1);
	
	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);

    sort(vx.begin(), vx.end());
    vx.resize( unique(vx.begin(), vx.end()) - vx.begin() );

    sort(vy.begin(), vy.end());
    vy.resize( unique(vy.begin(), vy.end()) - vy.begin() );

    for(int i = n-1; i >= 0; i--){
	int I = arr[i];
	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);
	for(int id : stock){
	    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(p[I].F.F - p[I].S, p[I].F.F + p[I].S + 1, p[I].F.S - p[I].S, p[I].F.S + p[I].S + 1, I);
	}
    }
    for(int i = 0; i < n; i++){
	cout << ans[i] << " ";
    }
    return cout << endl, 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 6 ms 640 KB Output is correct
20 Correct 6 ms 684 KB Output is correct
21 Correct 9 ms 640 KB Output is correct
22 Correct 11 ms 2304 KB Output is correct
23 Correct 16 ms 3532 KB Output is correct
24 Correct 16 ms 2048 KB Output is correct
25 Correct 9 ms 1664 KB Output is correct
26 Correct 10 ms 2048 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 352 ms 13236 KB Output is correct
2 Correct 352 ms 13260 KB Output is correct
3 Correct 357 ms 13040 KB Output is correct
4 Correct 336 ms 13248 KB Output is correct
5 Correct 526 ms 17740 KB Output is correct
6 Correct 776 ms 55872 KB Output is correct
7 Correct 629 ms 24268 KB Output is correct
8 Correct 664 ms 33712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 531 ms 60640 KB Output is correct
3 Correct 1516 ms 178636 KB Output is correct
4 Correct 1514 ms 177600 KB Output is correct
5 Correct 2029 ms 162240 KB Output is correct
6 Correct 811 ms 65744 KB Output is correct
7 Correct 325 ms 31204 KB Output is correct
8 Correct 35 ms 4724 KB Output is correct
9 Correct 1844 ms 180428 KB Output is correct
10 Correct 2457 ms 144352 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1231 ms 164236 KB Output is correct
2 Correct 722 ms 78888 KB Output is correct
3 Correct 1450 ms 33472 KB Output is correct
4 Correct 767 ms 90620 KB Output is correct
5 Correct 759 ms 84316 KB Output is correct
6 Correct 1185 ms 17740 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 6 ms 640 KB Output is correct
20 Correct 6 ms 684 KB Output is correct
21 Correct 9 ms 640 KB Output is correct
22 Correct 11 ms 2304 KB Output is correct
23 Correct 16 ms 3532 KB Output is correct
24 Correct 16 ms 2048 KB Output is correct
25 Correct 9 ms 1664 KB Output is correct
26 Correct 10 ms 2048 KB Output is correct
27 Correct 11 ms 896 KB Output is correct
28 Correct 11 ms 896 KB Output is correct
29 Correct 11 ms 896 KB Output is correct
30 Correct 27 ms 5760 KB Output is correct
31 Correct 21 ms 4088 KB Output is correct
32 Correct 21 ms 3968 KB Output is correct
33 Correct 113 ms 4704 KB Output is correct
34 Correct 113 ms 4708 KB Output is correct
35 Correct 123 ms 4672 KB Output is correct
36 Correct 310 ms 43120 KB Output is correct
37 Correct 314 ms 44128 KB Output is correct
38 Correct 364 ms 48956 KB Output is correct
39 Correct 259 ms 8676 KB Output is correct
40 Correct 268 ms 8928 KB Output is correct
41 Correct 262 ms 8672 KB Output is correct
42 Correct 251 ms 8544 KB Output is correct
43 Correct 217 ms 26080 KB Output is correct
44 Correct 217 ms 26208 KB Output is correct
45 Correct 218 ms 26108 KB Output is correct
46 Correct 219 ms 26180 KB Output is correct
47 Correct 222 ms 26208 KB Output is correct
48 Correct 225 ms 26212 KB Output is correct
49 Correct 215 ms 26084 KB Output is correct
50 Correct 215 ms 26208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 6 ms 640 KB Output is correct
20 Correct 6 ms 684 KB Output is correct
21 Correct 9 ms 640 KB Output is correct
22 Correct 11 ms 2304 KB Output is correct
23 Correct 16 ms 3532 KB Output is correct
24 Correct 16 ms 2048 KB Output is correct
25 Correct 9 ms 1664 KB Output is correct
26 Correct 10 ms 2048 KB Output is correct
27 Correct 352 ms 13236 KB Output is correct
28 Correct 352 ms 13260 KB Output is correct
29 Correct 357 ms 13040 KB Output is correct
30 Correct 336 ms 13248 KB Output is correct
31 Correct 526 ms 17740 KB Output is correct
32 Correct 776 ms 55872 KB Output is correct
33 Correct 629 ms 24268 KB Output is correct
34 Correct 664 ms 33712 KB Output is correct
35 Correct 0 ms 384 KB Output is correct
36 Correct 531 ms 60640 KB Output is correct
37 Correct 1516 ms 178636 KB Output is correct
38 Correct 1514 ms 177600 KB Output is correct
39 Correct 2029 ms 162240 KB Output is correct
40 Correct 811 ms 65744 KB Output is correct
41 Correct 325 ms 31204 KB Output is correct
42 Correct 35 ms 4724 KB Output is correct
43 Correct 1844 ms 180428 KB Output is correct
44 Correct 2457 ms 144352 KB Output is correct
45 Correct 1231 ms 164236 KB Output is correct
46 Correct 722 ms 78888 KB Output is correct
47 Correct 1450 ms 33472 KB Output is correct
48 Correct 767 ms 90620 KB Output is correct
49 Correct 759 ms 84316 KB Output is correct
50 Correct 1185 ms 17740 KB Output is correct
51 Correct 11 ms 896 KB Output is correct
52 Correct 11 ms 896 KB Output is correct
53 Correct 11 ms 896 KB Output is correct
54 Correct 27 ms 5760 KB Output is correct
55 Correct 21 ms 4088 KB Output is correct
56 Correct 21 ms 3968 KB Output is correct
57 Correct 113 ms 4704 KB Output is correct
58 Correct 113 ms 4708 KB Output is correct
59 Correct 123 ms 4672 KB Output is correct
60 Correct 310 ms 43120 KB Output is correct
61 Correct 314 ms 44128 KB Output is correct
62 Correct 364 ms 48956 KB Output is correct
63 Correct 259 ms 8676 KB Output is correct
64 Correct 268 ms 8928 KB Output is correct
65 Correct 262 ms 8672 KB Output is correct
66 Correct 251 ms 8544 KB Output is correct
67 Correct 217 ms 26080 KB Output is correct
68 Correct 217 ms 26208 KB Output is correct
69 Correct 218 ms 26108 KB Output is correct
70 Correct 219 ms 26180 KB Output is correct
71 Correct 222 ms 26208 KB Output is correct
72 Correct 225 ms 26212 KB Output is correct
73 Correct 215 ms 26084 KB Output is correct
74 Correct 215 ms 26208 KB Output is correct
75 Incorrect 399 ms 13016 KB Output isn't correct
76 Halted 0 ms 0 KB -