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Submission #587358

# Submission time Handle Problem Language Result Execution time Memory
587358 2022-07-01T17:20:41 Z blue Job Scheduling (IOI19_job) C++17
100 / 100
 676 ms 23984 KB 
#include "job.h"
#include <vector>
#include <set>
#include <algorithm>
using namespace std;

using vi = vector<int>;
using ll = long long;
using vll = vector<ll>;
#define sz(x) int(x.size())

ll res = 0;

const int mx = 200'000;

struct dsu
{
	vi par = vi(1+mx);
	vi st = vi(1+mx, 1);
	vi peak = vi(1+mx);

	dsu()
	{
		for(int i = 0; i <= mx; i++)
		{
			par[i] = i;
			peak[i] = i;
		}
	}

	int root(int u)
	{
		if(par[u] == u) return u;
		else return (par[u] = root(par[u]));
	}

	int getpeak(int u)
	{
		return peak[root(u)];
	}

	bool join(int u, int v, int p)
	{
		u = root(u);
		v = root(v);

		if(u == v)
			return 0;

		if(st[u] < st[v])
			swap(u, v);

		par[v] = u;
		st[u] += st[v];
		peak[u] = p;

		return 1;
	}
};	

int n;

vi p;
vll u, d;

struct temple
{
	int i;
};

bool operator < (temple A, temple B)
{
	if(d[A.i]*u[B.i] == d[B.i]*u[A.i])
		return A.i < B.i;
	else
		return d[A.i]*u[B.i] < d[B.i]*u[A.i];
}

ll scheduling_cost(vi p_, vi u_, vi d_) 
{
	p = p_;
	n = sz(p);

	u = d = vll(n);
	for(int i = 0; i < n; i++)
	{
		u[i] = u_[i];
		d[i] = d_[i];
	}

	dsu ds;

	for(int i = 0; i < n; i++)
		res += u[i]*d[i];

	set<temple> S;
	for(int i = 1; i < n; i++)
		S.insert(temple{i});	

	//combined values are stored at the paek

	for(int t = 0; t < n-1; t++)
	{
		int a = S.begin()->i;
		S.erase(S.begin());

		int pa = ds.getpeak(a);

		int b = p[pa];
		int pb = ds.getpeak(b);

		res += d[pb] * u[pa];

		
		ds.join(pa, pb, pb);

		if(pb == 0)
		{
			d[pb] += d[pa];
			u[pb] += u[pa];
		}
		else
		{
			S.erase(temple{pb});

			d[pb] += d[pa];
			u[pb] += u[pa];

			S.insert(temple{pb});
		}
	}


	return res;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 83 ms 7820 KB Output is correct
6 Correct 243 ms 13180 KB Output is correct
7 Correct 423 ms 18500 KB Output is correct
8 Correct 609 ms 23836 KB Output is correct
9 Correct 572 ms 23836 KB Output is correct
10 Correct 612 ms 23832 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 620 ms 23832 KB Output is correct
13 Correct 372 ms 23716 KB Output is correct
14 Correct 333 ms 23836 KB Output is correct
15 Correct 198 ms 23808 KB Output is correct
16 Correct 237 ms 23836 KB Output is correct
17 Correct 573 ms 23832 KB Output is correct
18 Correct 626 ms 23840 KB Output is correct
19 Correct 193 ms 23836 KB Output is correct
20 Correct 193 ms 23840 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 341 ms 22404 KB Output is correct
5 Correct 260 ms 22380 KB Output is correct
6 Correct 243 ms 22400 KB Output is correct
7 Correct 283 ms 22476 KB Output is correct
8 Correct 260 ms 22516 KB Output is correct
9 Correct 280 ms 22296 KB Output is correct
10 Correct 223 ms 22308 KB Output is correct
11 Correct 232 ms 22332 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2516 KB Output is correct
3 Correct 2 ms 2588 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 8 ms 3628 KB Output is correct
6 Correct 242 ms 22892 KB Output is correct
7 Correct 238 ms 22856 KB Output is correct
8 Correct 237 ms 22968 KB Output is correct
9 Correct 221 ms 23004 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 3 ms 2772 KB Output is correct
12 Correct 7 ms 3496 KB Output is correct
13 Correct 7 ms 3540 KB Output is correct
14 Correct 259 ms 22956 KB Output is correct
15 Correct 213 ms 22856 KB Output is correct
16 Correct 238 ms 22872 KB Output is correct
17 Correct 242 ms 22968 KB Output is correct
18 Correct 212 ms 22860 KB Output is correct
19 Correct 242 ms 22888 KB Output is correct
20 Correct 242 ms 22948 KB Output is correct
21 Correct 222 ms 22968 KB Output is correct
22 Correct 259 ms 22956 KB Output is correct
23 Correct 222 ms 22844 KB Output is correct
24 Correct 255 ms 22892 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 597 ms 23896 KB Output is correct
3 Correct 624 ms 23888 KB Output is correct
4 Correct 676 ms 23836 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2596 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 2 ms 2592 KB Output is correct
13 Correct 1 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 1 ms 2644 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct

Subtask #6
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 83 ms 7820 KB Output is correct
6 Correct 243 ms 13180 KB Output is correct
7 Correct 423 ms 18500 KB Output is correct
8 Correct 609 ms 23836 KB Output is correct
9 Correct 572 ms 23836 KB Output is correct
10 Correct 612 ms 23832 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 620 ms 23832 KB Output is correct
13 Correct 372 ms 23716 KB Output is correct
14 Correct 333 ms 23836 KB Output is correct
15 Correct 198 ms 23808 KB Output is correct
16 Correct 237 ms 23836 KB Output is correct
17 Correct 573 ms 23832 KB Output is correct
18 Correct 626 ms 23840 KB Output is correct
19 Correct 193 ms 23836 KB Output is correct
20 Correct 193 ms 23840 KB Output is correct
21 Correct 3 ms 2644 KB Output is correct
22 Correct 2 ms 2644 KB Output is correct
23 Correct 2 ms 2644 KB Output is correct
24 Correct 341 ms 22404 KB Output is correct
25 Correct 260 ms 22380 KB Output is correct
26 Correct 243 ms 22400 KB Output is correct
27 Correct 283 ms 22476 KB Output is correct
28 Correct 260 ms 22516 KB Output is correct
29 Correct 280 ms 22296 KB Output is correct
30 Correct 223 ms 22308 KB Output is correct
31 Correct 232 ms 22332 KB Output is correct
32 Correct 1 ms 2644 KB Output is correct
33 Correct 2 ms 2516 KB Output is correct
34 Correct 2 ms 2588 KB Output is correct
35 Correct 2 ms 2644 KB Output is correct
36 Correct 8 ms 3628 KB Output is correct
37 Correct 242 ms 22892 KB Output is correct
38 Correct 238 ms 22856 KB Output is correct
39 Correct 237 ms 22968 KB Output is correct
40 Correct 221 ms 23004 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 3 ms 2772 KB Output is correct
43 Correct 7 ms 3496 KB Output is correct
44 Correct 7 ms 3540 KB Output is correct
45 Correct 259 ms 22956 KB Output is correct
46 Correct 213 ms 22856 KB Output is correct
47 Correct 238 ms 22872 KB Output is correct
48 Correct 242 ms 22968 KB Output is correct
49 Correct 212 ms 22860 KB Output is correct
50 Correct 242 ms 22888 KB Output is correct
51 Correct 242 ms 22948 KB Output is correct
52 Correct 222 ms 22968 KB Output is correct
53 Correct 259 ms 22956 KB Output is correct
54 Correct 222 ms 22844 KB Output is correct
55 Correct 255 ms 22892 KB Output is correct
56 Correct 2 ms 2644 KB Output is correct
57 Correct 597 ms 23896 KB Output is correct
58 Correct 624 ms 23888 KB Output is correct
59 Correct 676 ms 23836 KB Output is correct
60 Correct 2 ms 2644 KB Output is correct
61 Correct 2 ms 2644 KB Output is correct
62 Correct 2 ms 2596 KB Output is correct
63 Correct 2 ms 2644 KB Output is correct
64 Correct 2 ms 2644 KB Output is correct
65 Correct 2 ms 2644 KB Output is correct
66 Correct 2 ms 2644 KB Output is correct
67 Correct 2 ms 2644 KB Output is correct
68 Correct 2 ms 2644 KB Output is correct
69 Correct 2 ms 2644 KB Output is correct
70 Correct 2 ms 2644 KB Output is correct
71 Correct 2 ms 2592 KB Output is correct
72 Correct 1 ms 2644 KB Output is correct
73 Correct 2 ms 2644 KB Output is correct
74 Correct 1 ms 2644 KB Output is correct
75 Correct 2 ms 2644 KB Output is correct
76 Correct 2 ms 2644 KB Output is correct
77 Correct 2 ms 2644 KB Output is correct
78 Correct 2 ms 2644 KB Output is correct
79 Correct 2 ms 2644 KB Output is correct
80 Correct 2 ms 2644 KB Output is correct
81 Correct 2 ms 2644 KB Output is correct
82 Correct 2 ms 2644 KB Output is correct
83 Correct 2 ms 2644 KB Output is correct
84 Correct 2 ms 2644 KB Output is correct
85 Correct 2 ms 2588 KB Output is correct
86 Correct 2 ms 2644 KB Output is correct
87 Correct 2 ms 2644 KB Output is correct
88 Correct 6 ms 3156 KB Output is correct
89 Correct 9 ms 3372 KB Output is correct
90 Correct 11 ms 3668 KB Output is correct
91 Correct 60 ms 7872 KB Output is correct
92 Correct 158 ms 13036 KB Output is correct
93 Correct 476 ms 23732 KB Output is correct
94 Correct 497 ms 23764 KB Output is correct
95 Correct 438 ms 23736 KB Output is correct
96 Correct 499 ms 23736 KB Output is correct
97 Correct 417 ms 23744 KB Output is correct
98 Correct 394 ms 23824 KB Output is correct
99 Correct 343 ms 23612 KB Output is correct
100 Correct 482 ms 23756 KB Output is correct
101 Correct 489 ms 23984 KB Output is correct
102 Correct 238 ms 23732 KB Output is correct
103 Correct 536 ms 23852 KB Output is correct
104 Correct 520 ms 23904 KB Output is correct
105 Correct 226 ms 23836 KB Output is correct
106 Correct 217 ms 23072 KB Output is correct