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Submission #315766

# Submission time Handle Problem Language Result Execution time Memory
315766 2020-10-23T22:07:45 Z tincamatei Job Scheduling (IOI19_job) C++14
100 / 100
 324 ms 60792 KB 
#include "job.h"
#include <vector>
#include <set>
#include <cstdio>

const int MAX_N = 200000;

long long res;

std::vector<int> graph[MAX_N];

struct DSUNode {
    int nod, sd, su;

    DSUNode(int _nod, int _sd, int _su) {
        nod = _nod;
        sd = _sd;
        su = _su;
    }

    bool operator< (const DSUNode x) const {
        return (long long)sd * x.su < (long long)su * x.sd ||
            ((long long)sd * x.su == (long long)su * x.sd && nod < x.nod);
    }
};

struct DSU {
    int sd, su;
    std::set<DSUNode> extended_neighbours;
} dsu[MAX_N];

void join(int a, int b) {
    res = res + (long long)dsu[a].sd * dsu[b].su;
    dsu[a].sd += dsu[b].sd;
    dsu[a].su += dsu[b].su;
    
    dsu[a].extended_neighbours.erase({b, dsu[b].sd, dsu[b].su});
    if(dsu[a].extended_neighbours.size() < dsu[b].extended_neighbours.size())
        dsu[a].extended_neighbours.swap(dsu[b].extended_neighbours);
    
    for(auto it: dsu[b].extended_neighbours)
        dsu[a].extended_neighbours.insert(it);
    dsu[b].extended_neighbours.clear();
}

void dfs(int nod) {
    for(auto it: graph[nod]) {
        dfs(it);
        dsu[nod].extended_neighbours.insert({it, dsu[it].sd, dsu[it].su});
    }
    
    while(!dsu[nod].extended_neighbours.empty()
    && *dsu[nod].extended_neighbours.begin() < DSUNode(nod, dsu[nod].sd, dsu[nod].su))
        join(nod, dsu[nod].extended_neighbours.begin()->nod);
}

long long scheduling_cost(std::vector<int> p, std::vector<int> u, std::vector<int> d) {
    int n = u.size();
    for(int i = 0; i < n; ++i) {
        dsu[i] = {d[i], u[i]};
        res = res + (long long)u[i] * d[i];
    }
    for(int i = 1; i < n; ++i)
        graph[p[i]].push_back(i);
    
    dfs(0);
    
    while(!dsu[0].extended_neighbours.empty())
        join(0, dsu[0].extended_neighbours.begin()->nod);

    return res;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 16000 KB Output is correct
2 Correct 11 ms 16000 KB Output is correct
3 Correct 11 ms 16000 KB Output is correct
4 Correct 11 ms 16128 KB Output is correct
5 Correct 42 ms 24952 KB Output is correct
6 Correct 74 ms 33912 KB Output is correct
7 Correct 106 ms 43004 KB Output is correct
8 Correct 139 ms 51960 KB Output is correct
9 Correct 136 ms 51964 KB Output is correct
10 Correct 141 ms 52040 KB Output is correct
11 Correct 10 ms 16000 KB Output is correct
12 Correct 138 ms 51960 KB Output is correct
13 Correct 135 ms 51936 KB Output is correct
14 Correct 137 ms 52008 KB Output is correct
15 Correct 139 ms 52088 KB Output is correct
16 Correct 140 ms 52088 KB Output is correct
17 Correct 141 ms 51960 KB Output is correct
18 Correct 138 ms 51960 KB Output is correct
19 Correct 137 ms 52148 KB Output is correct
20 Correct 149 ms 60792 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16000 KB Output is correct
2 Correct 10 ms 16000 KB Output is correct
3 Correct 11 ms 16000 KB Output is correct
4 Correct 277 ms 34048 KB Output is correct
5 Correct 270 ms 34028 KB Output is correct
6 Correct 280 ms 34028 KB Output is correct
7 Correct 269 ms 34028 KB Output is correct
8 Correct 274 ms 33904 KB Output is correct
9 Correct 270 ms 34028 KB Output is correct
10 Correct 268 ms 34028 KB Output is correct
11 Correct 282 ms 34028 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 16000 KB Output is correct
2 Correct 10 ms 16000 KB Output is correct
3 Correct 11 ms 16000 KB Output is correct
4 Correct 11 ms 16000 KB Output is correct
5 Correct 20 ms 16896 KB Output is correct
6 Correct 267 ms 34028 KB Output is correct
7 Correct 267 ms 34028 KB Output is correct
8 Correct 273 ms 34028 KB Output is correct
9 Correct 270 ms 34156 KB Output is correct
10 Correct 11 ms 16000 KB Output is correct
11 Correct 12 ms 16128 KB Output is correct
12 Correct 17 ms 16768 KB Output is correct
13 Correct 18 ms 16896 KB Output is correct
14 Correct 264 ms 34028 KB Output is correct
15 Correct 271 ms 34028 KB Output is correct
16 Correct 266 ms 34028 KB Output is correct
17 Correct 268 ms 34028 KB Output is correct
18 Correct 265 ms 34028 KB Output is correct
19 Correct 269 ms 34028 KB Output is correct
20 Correct 267 ms 34028 KB Output is correct
21 Correct 267 ms 34156 KB Output is correct
22 Correct 272 ms 34056 KB Output is correct
23 Correct 281 ms 34032 KB Output is correct
24 Correct 278 ms 34028 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 16000 KB Output is correct
2 Correct 139 ms 42616 KB Output is correct
3 Correct 135 ms 42744 KB Output is correct
4 Correct 136 ms 42616 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 16000 KB Output is correct
2 Correct 11 ms 16000 KB Output is correct
3 Correct 11 ms 16000 KB Output is correct
4 Correct 11 ms 16000 KB Output is correct
5 Correct 11 ms 16000 KB Output is correct
6 Correct 11 ms 16000 KB Output is correct
7 Correct 11 ms 16128 KB Output is correct
8 Correct 11 ms 16000 KB Output is correct
9 Correct 11 ms 16000 KB Output is correct
10 Correct 11 ms 16000 KB Output is correct
11 Correct 11 ms 16000 KB Output is correct
12 Correct 11 ms 16000 KB Output is correct
13 Correct 11 ms 16000 KB Output is correct
14 Correct 11 ms 16000 KB Output is correct
15 Correct 11 ms 16000 KB Output is correct
16 Correct 11 ms 16000 KB Output is correct
17 Correct 11 ms 16000 KB Output is correct

Subtask #6
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 16000 KB Output is correct
2 Correct 11 ms 16000 KB Output is correct
3 Correct 11 ms 16000 KB Output is correct
4 Correct 11 ms 16128 KB Output is correct
5 Correct 42 ms 24952 KB Output is correct
6 Correct 74 ms 33912 KB Output is correct
7 Correct 106 ms 43004 KB Output is correct
8 Correct 139 ms 51960 KB Output is correct
9 Correct 136 ms 51964 KB Output is correct
10 Correct 141 ms 52040 KB Output is correct
11 Correct 10 ms 16000 KB Output is correct
12 Correct 138 ms 51960 KB Output is correct
13 Correct 135 ms 51936 KB Output is correct
14 Correct 137 ms 52008 KB Output is correct
15 Correct 139 ms 52088 KB Output is correct
16 Correct 140 ms 52088 KB Output is correct
17 Correct 141 ms 51960 KB Output is correct
18 Correct 138 ms 51960 KB Output is correct
19 Correct 137 ms 52148 KB Output is correct
20 Correct 149 ms 60792 KB Output is correct
21 Correct 11 ms 16000 KB Output is correct
22 Correct 10 ms 16000 KB Output is correct
23 Correct 11 ms 16000 KB Output is correct
24 Correct 277 ms 34048 KB Output is correct
25 Correct 270 ms 34028 KB Output is correct
26 Correct 280 ms 34028 KB Output is correct
27 Correct 269 ms 34028 KB Output is correct
28 Correct 274 ms 33904 KB Output is correct
29 Correct 270 ms 34028 KB Output is correct
30 Correct 268 ms 34028 KB Output is correct
31 Correct 282 ms 34028 KB Output is correct
32 Correct 11 ms 16000 KB Output is correct
33 Correct 10 ms 16000 KB Output is correct
34 Correct 11 ms 16000 KB Output is correct
35 Correct 11 ms 16000 KB Output is correct
36 Correct 20 ms 16896 KB Output is correct
37 Correct 267 ms 34028 KB Output is correct
38 Correct 267 ms 34028 KB Output is correct
39 Correct 273 ms 34028 KB Output is correct
40 Correct 270 ms 34156 KB Output is correct
41 Correct 11 ms 16000 KB Output is correct
42 Correct 12 ms 16128 KB Output is correct
43 Correct 17 ms 16768 KB Output is correct
44 Correct 18 ms 16896 KB Output is correct
45 Correct 264 ms 34028 KB Output is correct
46 Correct 271 ms 34028 KB Output is correct
47 Correct 266 ms 34028 KB Output is correct
48 Correct 268 ms 34028 KB Output is correct
49 Correct 265 ms 34028 KB Output is correct
50 Correct 269 ms 34028 KB Output is correct
51 Correct 267 ms 34028 KB Output is correct
52 Correct 267 ms 34156 KB Output is correct
53 Correct 272 ms 34056 KB Output is correct
54 Correct 281 ms 34032 KB Output is correct
55 Correct 278 ms 34028 KB Output is correct
56 Correct 10 ms 16000 KB Output is correct
57 Correct 139 ms 42616 KB Output is correct
58 Correct 135 ms 42744 KB Output is correct
59 Correct 136 ms 42616 KB Output is correct
60 Correct 10 ms 16000 KB Output is correct
61 Correct 11 ms 16000 KB Output is correct
62 Correct 11 ms 16000 KB Output is correct
63 Correct 11 ms 16000 KB Output is correct
64 Correct 11 ms 16000 KB Output is correct
65 Correct 11 ms 16000 KB Output is correct
66 Correct 11 ms 16128 KB Output is correct
67 Correct 11 ms 16000 KB Output is correct
68 Correct 11 ms 16000 KB Output is correct
69 Correct 11 ms 16000 KB Output is correct
70 Correct 11 ms 16000 KB Output is correct
71 Correct 11 ms 16000 KB Output is correct
72 Correct 11 ms 16000 KB Output is correct
73 Correct 11 ms 16000 KB Output is correct
74 Correct 11 ms 16000 KB Output is correct
75 Correct 11 ms 16000 KB Output is correct
76 Correct 11 ms 16000 KB Output is correct
77 Correct 10 ms 15896 KB Output is correct
78 Correct 11 ms 16000 KB Output is correct
79 Correct 11 ms 16000 KB Output is correct
80 Correct 10 ms 16000 KB Output is correct
81 Correct 12 ms 16000 KB Output is correct
82 Correct 11 ms 16000 KB Output is correct
83 Correct 11 ms 16000 KB Output is correct
84 Correct 10 ms 16000 KB Output is correct
85 Correct 11 ms 16000 KB Output is correct
86 Correct 10 ms 16000 KB Output is correct
87 Correct 10 ms 16000 KB Output is correct
88 Correct 15 ms 16384 KB Output is correct
89 Correct 18 ms 16640 KB Output is correct
90 Correct 20 ms 16768 KB Output is correct
91 Correct 61 ms 20344 KB Output is correct
92 Correct 123 ms 24788 KB Output is correct
93 Correct 271 ms 33528 KB Output is correct
94 Correct 274 ms 33528 KB Output is correct
95 Correct 273 ms 33400 KB Output is correct
96 Correct 271 ms 33400 KB Output is correct
97 Correct 271 ms 33276 KB Output is correct
98 Correct 256 ms 34512 KB Output is correct
99 Correct 297 ms 35564 KB Output is correct
100 Correct 271 ms 33400 KB Output is correct
101 Correct 231 ms 32376 KB Output is correct
102 Correct 324 ms 39544 KB Output is correct
103 Correct 230 ms 31096 KB Output is correct
104 Correct 210 ms 30456 KB Output is correct
105 Correct 173 ms 30968 KB Output is correct
106 Correct 305 ms 37148 KB Output is correct