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Submission #145187

# Submission time Handle Problem Language Result Execution time Memory
145187 2019-08-19T08:37:16 Z ecnerwala Job Scheduling (IOI19_job) C++14
100 / 100
 324 ms 18036 KB 
#include "job.h"
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

ll scheduling_cost(vector<int> P, vector<int> U_, vector<int> D_) {
	vector<ll> U(U_.begin(), U_.end());
	vector<ll> D(D_.begin(), D_.end());
	int N = int(P.size());
	ll ans = 0;
	for (int i = 0; i < N; i++) {
		ans += U[i] * D[i];
	}

	// build things earlier with high U[i] / D[i]
	auto cmp = [](pair<pair<ll, ll>, int> i, pair<pair<ll, ll>, int> j) {
		// returns true if j comes first
		return j.first.second * i.first.first < i.first.second * j.first.first;
	};

	priority_queue<pair<pair<ll, ll>, int>, vector<pair<pair<ll, ll>, int>>, decltype(cmp)> pq(cmp);
	vector<char> dead(N);

	for (int i = 1; i < N; i++) {
		if (U[i] == 0 && D[i] == 0) {
			dead[i] = true;
		} else {
			pq.emplace(pair<ll, ll>(U[i], D[i]), i);
		}
	}

	int cnt = 0;
	while (!pq.empty()) {
		auto it = pq.top(); pq.pop();
		int cur = it.second;
		if (dead[cur] || it.first != pair<ll, ll>(U[cur], D[cur])) continue;

		int prv = P[cur];
		while (dead[prv]) {
			assert(0 <= P[prv] && P[prv] < prv);
			prv = P[prv];
		}

		for (int v = P[cur]; v != prv; ) {
			int nxt = P[v];
			P[v] = prv;
			v = nxt;
		}

		ans += D[prv] * U[cur];
		U[prv] += U[cur];
		D[prv] += D[cur];
		dead[cur] = true;
		if (prv != 0) {
			pq.emplace(pair<ll, ll>(U[prv], D[prv]), prv);
		}
		cnt++;
	}
	return ans;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 52 ms 4848 KB Output is correct
6 Correct 112 ms 9068 KB Output is correct
7 Correct 193 ms 15076 KB Output is correct
8 Correct 274 ms 18036 KB Output is correct
9 Correct 271 ms 17768 KB Output is correct
10 Correct 270 ms 17780 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 274 ms 17896 KB Output is correct
13 Correct 209 ms 17892 KB Output is correct
14 Correct 234 ms 17888 KB Output is correct
15 Correct 179 ms 17876 KB Output is correct
16 Correct 229 ms 17760 KB Output is correct
17 Correct 318 ms 17768 KB Output is correct
18 Correct 277 ms 17764 KB Output is correct
19 Correct 172 ms 17892 KB Output is correct
20 Correct 144 ms 17776 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 183 ms 16340 KB Output is correct
5 Correct 193 ms 16488 KB Output is correct
6 Correct 167 ms 16360 KB Output is correct
7 Correct 163 ms 16388 KB Output is correct
8 Correct 173 ms 16356 KB Output is correct
9 Correct 163 ms 16360 KB Output is correct
10 Correct 200 ms 16376 KB Output is correct
11 Correct 162 ms 16360 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 8 ms 1336 KB Output is correct
6 Correct 173 ms 17028 KB Output is correct
7 Correct 169 ms 17016 KB Output is correct
8 Correct 173 ms 17000 KB Output is correct
9 Correct 180 ms 16972 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 3 ms 504 KB Output is correct
12 Correct 8 ms 1216 KB Output is correct
13 Correct 10 ms 1340 KB Output is correct
14 Correct 194 ms 16892 KB Output is correct
15 Correct 172 ms 17000 KB Output is correct
16 Correct 175 ms 16936 KB Output is correct
17 Correct 195 ms 17000 KB Output is correct
18 Correct 192 ms 16940 KB Output is correct
19 Correct 176 ms 16992 KB Output is correct
20 Correct 180 ms 17000 KB Output is correct
21 Correct 197 ms 17016 KB Output is correct
22 Correct 180 ms 16992 KB Output is correct
23 Correct 173 ms 17000 KB Output is correct
24 Correct 174 ms 17004 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 280 ms 17768 KB Output is correct
3 Correct 324 ms 17760 KB Output is correct
4 Correct 283 ms 17760 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 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 3 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 3 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct

Subtask #6
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 52 ms 4848 KB Output is correct
6 Correct 112 ms 9068 KB Output is correct
7 Correct 193 ms 15076 KB Output is correct
8 Correct 274 ms 18036 KB Output is correct
9 Correct 271 ms 17768 KB Output is correct
10 Correct 270 ms 17780 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 274 ms 17896 KB Output is correct
13 Correct 209 ms 17892 KB Output is correct
14 Correct 234 ms 17888 KB Output is correct
15 Correct 179 ms 17876 KB Output is correct
16 Correct 229 ms 17760 KB Output is correct
17 Correct 318 ms 17768 KB Output is correct
18 Correct 277 ms 17764 KB Output is correct
19 Correct 172 ms 17892 KB Output is correct
20 Correct 144 ms 17776 KB Output is correct
21 Correct 2 ms 256 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 183 ms 16340 KB Output is correct
25 Correct 193 ms 16488 KB Output is correct
26 Correct 167 ms 16360 KB Output is correct
27 Correct 163 ms 16388 KB Output is correct
28 Correct 173 ms 16356 KB Output is correct
29 Correct 163 ms 16360 KB Output is correct
30 Correct 200 ms 16376 KB Output is correct
31 Correct 162 ms 16360 KB Output is correct
32 Correct 2 ms 256 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 256 KB Output is correct
35 Correct 3 ms 376 KB Output is correct
36 Correct 8 ms 1336 KB Output is correct
37 Correct 173 ms 17028 KB Output is correct
38 Correct 169 ms 17016 KB Output is correct
39 Correct 173 ms 17000 KB Output is correct
40 Correct 180 ms 16972 KB Output is correct
41 Correct 2 ms 376 KB Output is correct
42 Correct 3 ms 504 KB Output is correct
43 Correct 8 ms 1216 KB Output is correct
44 Correct 10 ms 1340 KB Output is correct
45 Correct 194 ms 16892 KB Output is correct
46 Correct 172 ms 17000 KB Output is correct
47 Correct 175 ms 16936 KB Output is correct
48 Correct 195 ms 17000 KB Output is correct
49 Correct 192 ms 16940 KB Output is correct
50 Correct 176 ms 16992 KB Output is correct
51 Correct 180 ms 17000 KB Output is correct
52 Correct 197 ms 17016 KB Output is correct
53 Correct 180 ms 16992 KB Output is correct
54 Correct 173 ms 17000 KB Output is correct
55 Correct 174 ms 17004 KB Output is correct
56 Correct 2 ms 256 KB Output is correct
57 Correct 280 ms 17768 KB Output is correct
58 Correct 324 ms 17760 KB Output is correct
59 Correct 283 ms 17760 KB Output is correct
60 Correct 2 ms 256 KB Output is correct
61 Correct 2 ms 376 KB Output is correct
62 Correct 2 ms 376 KB Output is correct
63 Correct 2 ms 376 KB Output is correct
64 Correct 2 ms 376 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Correct 2 ms 376 KB Output is correct
67 Correct 2 ms 376 KB Output is correct
68 Correct 2 ms 376 KB Output is correct
69 Correct 3 ms 376 KB Output is correct
70 Correct 2 ms 376 KB Output is correct
71 Correct 3 ms 376 KB Output is correct
72 Correct 2 ms 376 KB Output is correct
73 Correct 2 ms 376 KB Output is correct
74 Correct 2 ms 376 KB Output is correct
75 Correct 2 ms 376 KB Output is correct
76 Correct 2 ms 376 KB Output is correct
77 Correct 2 ms 256 KB Output is correct
78 Correct 2 ms 376 KB Output is correct
79 Correct 2 ms 376 KB Output is correct
80 Correct 2 ms 376 KB Output is correct
81 Correct 2 ms 376 KB Output is correct
82 Correct 2 ms 376 KB Output is correct
83 Correct 2 ms 252 KB Output is correct
84 Correct 2 ms 256 KB Output is correct
85 Correct 2 ms 256 KB Output is correct
86 Correct 2 ms 376 KB Output is correct
87 Correct 2 ms 376 KB Output is correct
88 Correct 6 ms 888 KB Output is correct
89 Correct 8 ms 1084 KB Output is correct
90 Correct 10 ms 1336 KB Output is correct
91 Correct 47 ms 4720 KB Output is correct
92 Correct 104 ms 9068 KB Output is correct
93 Correct 252 ms 17868 KB Output is correct
94 Correct 253 ms 17768 KB Output is correct
95 Correct 243 ms 17772 KB Output is correct
96 Correct 230 ms 17768 KB Output is correct
97 Correct 227 ms 17640 KB Output is correct
98 Correct 233 ms 17892 KB Output is correct
99 Correct 203 ms 17640 KB Output is correct
100 Correct 249 ms 17884 KB Output is correct
101 Correct 270 ms 17768 KB Output is correct
102 Correct 197 ms 17768 KB Output is correct
103 Correct 249 ms 17892 KB Output is correct
104 Correct 259 ms 17896 KB Output is correct
105 Correct 192 ms 17892 KB Output is correct
106 Correct 185 ms 17200 KB Output is correct