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Submission #163174

# Submission time Handle Problem Language Result Execution time Memory
163174 2019-11-11T16:11:20 Z combi1k1 Circle selection (APIO18_circle_selection) C++14
100 / 100
 1456 ms 43864 KB 
#include<bits/stdc++.h>

using namespace std;

#define ll      long long
#define pb      push_back
#define sz(x)   x.size()

const int   N   = 3e5 + 1;
const int   inf = 1e9 + 7;

typedef vector<int> vi;

struct  Circle  {
    int x, y;
    int R, i;
    int ans;
}   C[N];

bool Share(Circle a,Circle b)   {
    long long dX = 1ll * (a.x - b.x) * (a.x - b.x);
    long long dY = 1ll * (a.y - b.y) * (a.y - b.y);
    long long dR = 1ll * (a.R + b.R) * (a.R + b.R);

    return  dX + dY <= dR;
}

ll  encode(int x,int y) {   return  ((ll)x << 31) + y;  }

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

    int n;  cin >> n;

    for(int i = 0 ; i < n ; ++i)    {
        cin >> C[i].x;  C[i].x += inf;
        cin >> C[i].y;  C[i].y += inf;
        cin >> C[i].R;
        C[i].i = i;
        C[i].ans = -1;
    }

    sort(C,C + n,[&](Circle C1,Circle C2)   {
         if (C1.R != C2.R)  return  C1.R > C2.R;
         if (C1.R == C2.R)  return  C1.i < C2.i;
    });
    int unit = 2e9 + 1;

    unordered_map<ll,vi>    Combi;

    auto build = [&]()  {
        Combi.clear();
        for(int i = 0 ; i < n ; ++i)    if (C[i].ans < 0)   {
            int x = C[i].x / unit;
            int y = C[i].y / unit;

            Combi[encode(x,y)].pb(i);
        }
    };

    for(int i = 0 ; i < n ; ++i)    if (C[i].ans < 0)   {
        //cout << C[i].i << " ";
        if (unit > C[i].R * 2)  {
            unit = C[i].R;
            build();
        }
        int x = C[i].x / unit;
        int y = C[i].y / unit;

        for(int a = x - 2 ; a < x + 3 ; ++a)
        for(int b = y - 2 ; b < y + 3 ; ++b)    {
            ll  Hash = encode(a,b);

            if(!Combi.count(Hash))
                continue;

            vi &v = Combi[Hash];

            for(int j = 0 ; j < v.size() ; ++j) if (Share(C[i],C[v[j]]))    {
                C[v[j]].ans = C[i].i;

                swap(v[j],v.back());
                v.pop_back();
                j--;
            }
        }
    }
    sort(C,C + n,[&](Circle C1,Circle C2)   {   return  C1.i < C2.i;    });

    for(int i = 0 ; i < n ; ++i)
        cout << C[i].ans + 1 << " ";
}
/*
11
9 9 2
13 2 1
11 8 2
3 3 2
3 12 1
12 14 1
9 8 5
2 8 2
5 2 1
14 4 2
14 14 1
*/

Compilation message

circle_selection.cpp: In function 'int main()':
circle_selection.cpp:80:31: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             for(int j = 0 ; j < v.size() ; ++j) if (Share(C[i],C[v[j]]))    {
                             ~~^~~~~~~~~~
circle_selection.cpp: In lambda function:
circle_selection.cpp:47:5: warning: control reaches end of non-void function [-Wreturn-type]
     });
     ^

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 348 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 3 ms 380 KB Output is correct
17 Correct 3 ms 376 KB Output is correct
18 Correct 3 ms 376 KB Output is correct
19 Correct 6 ms 652 KB Output is correct
20 Correct 6 ms 632 KB Output is correct
21 Correct 6 ms 632 KB Output is correct
22 Correct 12 ms 1016 KB Output is correct
23 Correct 13 ms 988 KB Output is correct
24 Correct 12 ms 1016 KB Output is correct
25 Correct 12 ms 1048 KB Output is correct
26 Correct 13 ms 1040 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 228 ms 15284 KB Output is correct
2 Correct 231 ms 15372 KB Output is correct
3 Correct 241 ms 16136 KB Output is correct
4 Correct 247 ms 15528 KB Output is correct
5 Correct 424 ms 13676 KB Output is correct
6 Correct 551 ms 26148 KB Output is correct
7 Correct 258 ms 15816 KB Output is correct
8 Correct 313 ms 18356 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 297 ms 14356 KB Output is correct
3 Correct 1420 ms 43288 KB Output is correct
4 Correct 1359 ms 43296 KB Output is correct
5 Correct 1184 ms 38772 KB Output is correct
6 Correct 434 ms 19444 KB Output is correct
7 Correct 311 ms 10504 KB Output is correct
8 Correct 29 ms 2552 KB Output is correct
9 Correct 1353 ms 42720 KB Output is correct
10 Correct 1082 ms 38164 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1419 ms 43192 KB Output is correct
2 Correct 1378 ms 42344 KB Output is correct
3 Correct 328 ms 24588 KB Output is correct
4 Correct 1432 ms 42816 KB Output is correct
5 Correct 1407 ms 42864 KB Output is correct
6 Correct 244 ms 19832 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 348 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 3 ms 380 KB Output is correct
17 Correct 3 ms 376 KB Output is correct
18 Correct 3 ms 376 KB Output is correct
19 Correct 6 ms 652 KB Output is correct
20 Correct 6 ms 632 KB Output is correct
21 Correct 6 ms 632 KB Output is correct
22 Correct 12 ms 1016 KB Output is correct
23 Correct 13 ms 988 KB Output is correct
24 Correct 12 ms 1016 KB Output is correct
25 Correct 12 ms 1048 KB Output is correct
26 Correct 13 ms 1040 KB Output is correct
27 Correct 10 ms 1016 KB Output is correct
28 Correct 10 ms 1016 KB Output is correct
29 Correct 10 ms 1016 KB Output is correct
30 Correct 24 ms 1784 KB Output is correct
31 Correct 25 ms 1784 KB Output is correct
32 Correct 24 ms 1752 KB Output is correct
33 Correct 82 ms 6760 KB Output is correct
34 Correct 82 ms 6520 KB Output is correct
35 Correct 93 ms 6052 KB Output is correct
36 Correct 311 ms 14216 KB Output is correct
37 Correct 319 ms 14216 KB Output is correct
38 Correct 315 ms 14228 KB Output is correct
39 Correct 306 ms 11652 KB Output is correct
40 Correct 319 ms 11552 KB Output is correct
41 Correct 312 ms 11608 KB Output is correct
42 Correct 138 ms 13316 KB Output is correct
43 Correct 367 ms 14056 KB Output is correct
44 Correct 308 ms 14088 KB Output is correct
45 Correct 307 ms 14092 KB Output is correct
46 Correct 293 ms 14084 KB Output is correct
47 Correct 298 ms 14048 KB Output is correct
48 Correct 306 ms 14088 KB Output is correct
49 Correct 302 ms 14088 KB Output is correct
50 Correct 275 ms 14088 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 348 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 3 ms 380 KB Output is correct
17 Correct 3 ms 376 KB Output is correct
18 Correct 3 ms 376 KB Output is correct
19 Correct 6 ms 652 KB Output is correct
20 Correct 6 ms 632 KB Output is correct
21 Correct 6 ms 632 KB Output is correct
22 Correct 12 ms 1016 KB Output is correct
23 Correct 13 ms 988 KB Output is correct
24 Correct 12 ms 1016 KB Output is correct
25 Correct 12 ms 1048 KB Output is correct
26 Correct 13 ms 1040 KB Output is correct
27 Correct 228 ms 15284 KB Output is correct
28 Correct 231 ms 15372 KB Output is correct
29 Correct 241 ms 16136 KB Output is correct
30 Correct 247 ms 15528 KB Output is correct
31 Correct 424 ms 13676 KB Output is correct
32 Correct 551 ms 26148 KB Output is correct
33 Correct 258 ms 15816 KB Output is correct
34 Correct 313 ms 18356 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 297 ms 14356 KB Output is correct
37 Correct 1420 ms 43288 KB Output is correct
38 Correct 1359 ms 43296 KB Output is correct
39 Correct 1184 ms 38772 KB Output is correct
40 Correct 434 ms 19444 KB Output is correct
41 Correct 311 ms 10504 KB Output is correct
42 Correct 29 ms 2552 KB Output is correct
43 Correct 1353 ms 42720 KB Output is correct
44 Correct 1082 ms 38164 KB Output is correct
45 Correct 1419 ms 43192 KB Output is correct
46 Correct 1378 ms 42344 KB Output is correct
47 Correct 328 ms 24588 KB Output is correct
48 Correct 1432 ms 42816 KB Output is correct
49 Correct 1407 ms 42864 KB Output is correct
50 Correct 244 ms 19832 KB Output is correct
51 Correct 10 ms 1016 KB Output is correct
52 Correct 10 ms 1016 KB Output is correct
53 Correct 10 ms 1016 KB Output is correct
54 Correct 24 ms 1784 KB Output is correct
55 Correct 25 ms 1784 KB Output is correct
56 Correct 24 ms 1752 KB Output is correct
57 Correct 82 ms 6760 KB Output is correct
58 Correct 82 ms 6520 KB Output is correct
59 Correct 93 ms 6052 KB Output is correct
60 Correct 311 ms 14216 KB Output is correct
61 Correct 319 ms 14216 KB Output is correct
62 Correct 315 ms 14228 KB Output is correct
63 Correct 306 ms 11652 KB Output is correct
64 Correct 319 ms 11552 KB Output is correct
65 Correct 312 ms 11608 KB Output is correct
66 Correct 138 ms 13316 KB Output is correct
67 Correct 367 ms 14056 KB Output is correct
68 Correct 308 ms 14088 KB Output is correct
69 Correct 307 ms 14092 KB Output is correct
70 Correct 293 ms 14084 KB Output is correct
71 Correct 298 ms 14048 KB Output is correct
72 Correct 306 ms 14088 KB Output is correct
73 Correct 302 ms 14088 KB Output is correct
74 Correct 275 ms 14088 KB Output is correct
75 Correct 258 ms 17620 KB Output is correct
76 Correct 253 ms 17400 KB Output is correct
77 Correct 248 ms 18508 KB Output is correct
78 Correct 244 ms 18528 KB Output is correct
79 Correct 273 ms 17120 KB Output is correct
80 Correct 245 ms 18536 KB Output is correct
81 Correct 1317 ms 43224 KB Output is correct
82 Correct 1396 ms 43272 KB Output is correct
83 Correct 1362 ms 43076 KB Output is correct
84 Correct 1384 ms 43864 KB Output is correct
85 Correct 1456 ms 43196 KB Output is correct
86 Correct 1417 ms 43164 KB Output is correct
87 Correct 1428 ms 43216 KB Output is correct
88 Correct 1220 ms 35028 KB Output is correct
89 Correct 1277 ms 35004 KB Output is correct
90 Correct 1115 ms 35052 KB Output is correct
91 Correct 1188 ms 35332 KB Output is correct
92 Correct 1163 ms 35096 KB Output is correct
93 Correct 1387 ms 42136 KB Output is correct
94 Correct 1215 ms 42504 KB Output is correct
95 Correct 1429 ms 42184 KB Output is correct
96 Correct 1179 ms 42116 KB Output is correct
97 Correct 1283 ms 42128 KB Output is correct
98 Correct 830 ms 32312 KB Output is correct
99 Correct 1343 ms 42244 KB Output is correct
100 Correct 1259 ms 42116 KB Output is correct
101 Correct 845 ms 37636 KB Output is correct
102 Correct 1193 ms 41864 KB Output is correct
103 Correct 1229 ms 41976 KB Output is correct
104 Correct 1324 ms 41988 KB Output is correct
105 Correct 637 ms 39824 KB Output is correct
106 Correct 1172 ms 41500 KB Output is correct
107 Correct 1194 ms 41436 KB Output is correct
108 Correct 1196 ms 41404 KB Output is correct
109 Correct 1135 ms 41516 KB Output is correct
110 Correct 1119 ms 41452 KB Output is correct
111 Correct 1098 ms 41468 KB Output is correct
112 Correct 1117 ms 41476 KB Output is correct
113 Correct 1133 ms 41552 KB Output is correct
114 Correct 1126 ms 41476 KB Output is correct
115 Correct 1333 ms 41608 KB Output is correct
116 Correct 1163 ms 41496 KB Output is correct