Submission #222137

# Submission time Handle Problem Language Result Execution time Memory
222137 2020-04-12T07:38:47 Z emil_physmath Toy Train (IOI17_train) C++17
100 / 100
1922 ms 1792 KB
#include "train.h"
#include <algorithm>
#include <iostream>
#include <vector>
#include <queue>
#include <set>
using namespace std;
const int maxN = 5000;

vector<int> nei[maxN];
int charge[maxN], a[maxN];
int ans[maxN];
int col[maxN], isCyc[maxN];
int n;

vector<int> rnei[maxN];
bool used1[maxN];
void DFS1(int v, vector<int>& sorted)
{
    used1[v] = true;
    for (int to: nei[v])
        if (!used1[to])
            DFS1(to, sorted);
    sorted.push_back(v);
}
void DFS2(int v, int curcol)
{
    col[v] = curcol;
    for (int to: rnei[v])
        if (!col[to])
        {
            DFS2(to, curcol);
            isCyc[curcol] = true;
        }
        else if (col[to] == curcol)
            isCyc[curcol] = true;
}
void SCC()
{
    vector<int> sorted;
    for (int i = 0; i < n; ++i)
        if (!used1[i])
            DFS1(i, sorted);
    reverse(sorted.begin(), sorted.end());
    int cols = 0;
    for (int v: sorted)
        if (!col[v])
            DFS2(v, ++cols);
}
bool used3[maxN];
void DFS3(int v)
{
    used3[v] = true;
    ans[v] = 1;
    for (int to: rnei[v])
        if (!used3[to])
            DFS3(to);
}
vector<int> Solve3()
{
    SCC();
    vector<bool> goodcol(n);
    for (int v = 0; v < n; ++v)
        if (charge[v])
            goodcol[col[v]] = true;
    for (int v = 0; v < n; ++v)
        if (goodcol[col[v]] && isCyc[col[v]] && !used3[v])
            DFS3(v);
    return vector<int>(ans, ans + n);
}

bool OK(vector<char>& mask)
{
    queue<int> cycle;
    for (int i = 0; i < n; ++i)
        if (mask[i])
            cycle.push(i);
    int cnt = cycle.size();
    while (cycle.size())
    {
        int u = cycle.front();
        cycle.pop();
        if (!mask[u]) continue;
        bool g = false;
        if (a[u])
        {
            g = true;
            for (int to: nei[u])
                if (!mask[to] && ans[to] != 0)
                    g = false;
        }
        else
        {
            g = false;
            for (int to: nei[u])
                if (mask[to] || ans[to] == 0)
                    g = true;
        }
        if (!g)
        {
            --cnt;
            mask[u] = 0;
            for (int to: rnei[u])
                if (mask[to])
                    cycle.push(to);
        }
    }
    return cnt;
}
void Add(vector<char>& mask)
{
    queue<int> cycle;
    for (int i = 0; i < n; ++i)
        if (mask[i])
            for (int to: rnei[i])
                cycle.push(to);
    while (cycle.size())
    {
        int u = cycle.front();
        cycle.pop();
        if (!ans[u]) continue;
        bool g = false;
        if (a[u])
        {
            g = true;
            for (int to: nei[u])
                if (ans[to] != 0)
                    g = false;
        }
        else
        {
            g = false;
            for (int to: nei[u])
                if (ans[to] == 0)
                    g = true;
        }
        if (g)
        {
            ans[u] = 0;
            for (int to: rnei[u])
                if (ans[to])
                    cycle.push(to);
        }
    }
}
vector<int> Solve()
{
    for (int i = 0; i < n; ++i)
        ans[i] = 1;
    vector<char> stmask(n);
    for (int i = 0; i < n; ++i)
        if (!charge[i])
            stmask[i] = 1;
    while (true)
    {
        auto mask = stmask;
        if (!OK(mask))
            break;
        for (int i = 0; i < n; ++i)
            if (mask[i])
            {
                ans[i] = 0;
                stmask[i] = 0;
            }
        Add(mask);
    }
    return vector<int>(ans, ans + n);
}
std::vector<int> who_wins(std::vector<int> a_, std::vector<int> charge_, std::vector<int> u, std::vector<int> v) {
    n = a_.size();
    for (int i = 0; i < n; ++i)
        a[i] = a_[i], charge[i] = charge_[i];
    for (int i = 0; i < u.size(); ++i)
        nei[u[i]].push_back(v[i]);
    for (int v = 0; v < n; ++v)
        for (int to: nei[v])
            rnei[to].push_back(v);
    if (!count(a, a + n, 0))
        return Solve3();
    return Solve();
}

Compilation message

train.cpp: In function 'std::vector<int> who_wins(std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>)':
train.cpp:173:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < u.size(); ++i)
                     ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 9 ms 1152 KB Output is correct
2 Correct 10 ms 1152 KB Output is correct
3 Correct 9 ms 1152 KB Output is correct
4 Correct 9 ms 1152 KB Output is correct
5 Correct 9 ms 1152 KB Output is correct
6 Correct 10 ms 1152 KB Output is correct
7 Correct 11 ms 1152 KB Output is correct
8 Correct 9 ms 1152 KB Output is correct
9 Correct 9 ms 1152 KB Output is correct
10 Correct 8 ms 1152 KB Output is correct
11 Correct 9 ms 1152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 640 KB Output is correct
2 Correct 5 ms 512 KB Output is correct
3 Correct 5 ms 640 KB Output is correct
4 Correct 5 ms 640 KB Output is correct
5 Correct 4 ms 512 KB Output is correct
6 Correct 5 ms 512 KB Output is correct
7 Correct 5 ms 512 KB Output is correct
8 Correct 5 ms 512 KB Output is correct
9 Correct 5 ms 512 KB Output is correct
10 Correct 5 ms 512 KB Output is correct
11 Correct 5 ms 512 KB Output is correct
12 Correct 5 ms 512 KB Output is correct
13 Correct 5 ms 512 KB Output is correct
14 Correct 5 ms 512 KB Output is correct
15 Correct 5 ms 512 KB Output is correct
16 Correct 5 ms 512 KB Output is correct
17 Correct 5 ms 512 KB Output is correct
18 Correct 6 ms 512 KB Output is correct
19 Correct 5 ms 640 KB Output is correct
20 Correct 5 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 1664 KB Output is correct
2 Correct 13 ms 1664 KB Output is correct
3 Correct 12 ms 1664 KB Output is correct
4 Correct 14 ms 1664 KB Output is correct
5 Correct 14 ms 1536 KB Output is correct
6 Correct 13 ms 1536 KB Output is correct
7 Correct 15 ms 1536 KB Output is correct
8 Correct 14 ms 1536 KB Output is correct
9 Correct 12 ms 1536 KB Output is correct
10 Correct 13 ms 1536 KB Output is correct
11 Correct 13 ms 1408 KB Output is correct
12 Correct 12 ms 1536 KB Output is correct
13 Correct 14 ms 1664 KB Output is correct
14 Correct 14 ms 1664 KB Output is correct
15 Correct 14 ms 1664 KB Output is correct
16 Correct 14 ms 1664 KB Output is correct
17 Correct 16 ms 1664 KB Output is correct
18 Correct 10 ms 1280 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 1280 KB Output is correct
2 Correct 14 ms 1408 KB Output is correct
3 Correct 13 ms 1408 KB Output is correct
4 Correct 14 ms 1408 KB Output is correct
5 Correct 16 ms 1536 KB Output is correct
6 Correct 17 ms 1408 KB Output is correct
7 Correct 15 ms 1408 KB Output is correct
8 Correct 13 ms 1408 KB Output is correct
9 Correct 12 ms 1408 KB Output is correct
10 Correct 13 ms 1408 KB Output is correct
11 Correct 13 ms 1408 KB Output is correct
12 Correct 13 ms 1408 KB Output is correct
13 Correct 14 ms 1408 KB Output is correct
14 Correct 14 ms 1408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 1408 KB Output is correct
2 Correct 14 ms 1408 KB Output is correct
3 Correct 15 ms 1408 KB Output is correct
4 Correct 14 ms 1408 KB Output is correct
5 Correct 5 ms 640 KB Output is correct
6 Correct 9 ms 1152 KB Output is correct
7 Correct 11 ms 1152 KB Output is correct
8 Correct 12 ms 1152 KB Output is correct
9 Correct 12 ms 1152 KB Output is correct
10 Correct 7 ms 768 KB Output is correct
11 Correct 15 ms 1024 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 1152 KB Output is correct
2 Correct 10 ms 1152 KB Output is correct
3 Correct 9 ms 1152 KB Output is correct
4 Correct 9 ms 1152 KB Output is correct
5 Correct 9 ms 1152 KB Output is correct
6 Correct 10 ms 1152 KB Output is correct
7 Correct 11 ms 1152 KB Output is correct
8 Correct 9 ms 1152 KB Output is correct
9 Correct 9 ms 1152 KB Output is correct
10 Correct 8 ms 1152 KB Output is correct
11 Correct 9 ms 1152 KB Output is correct
12 Correct 5 ms 640 KB Output is correct
13 Correct 5 ms 512 KB Output is correct
14 Correct 5 ms 640 KB Output is correct
15 Correct 5 ms 640 KB Output is correct
16 Correct 4 ms 512 KB Output is correct
17 Correct 5 ms 512 KB Output is correct
18 Correct 5 ms 512 KB Output is correct
19 Correct 5 ms 512 KB Output is correct
20 Correct 5 ms 512 KB Output is correct
21 Correct 5 ms 512 KB Output is correct
22 Correct 5 ms 512 KB Output is correct
23 Correct 5 ms 512 KB Output is correct
24 Correct 5 ms 512 KB Output is correct
25 Correct 5 ms 512 KB Output is correct
26 Correct 5 ms 512 KB Output is correct
27 Correct 5 ms 512 KB Output is correct
28 Correct 5 ms 512 KB Output is correct
29 Correct 6 ms 512 KB Output is correct
30 Correct 5 ms 640 KB Output is correct
31 Correct 5 ms 512 KB Output is correct
32 Correct 13 ms 1664 KB Output is correct
33 Correct 13 ms 1664 KB Output is correct
34 Correct 12 ms 1664 KB Output is correct
35 Correct 14 ms 1664 KB Output is correct
36 Correct 14 ms 1536 KB Output is correct
37 Correct 13 ms 1536 KB Output is correct
38 Correct 15 ms 1536 KB Output is correct
39 Correct 14 ms 1536 KB Output is correct
40 Correct 12 ms 1536 KB Output is correct
41 Correct 13 ms 1536 KB Output is correct
42 Correct 13 ms 1408 KB Output is correct
43 Correct 12 ms 1536 KB Output is correct
44 Correct 14 ms 1664 KB Output is correct
45 Correct 14 ms 1664 KB Output is correct
46 Correct 14 ms 1664 KB Output is correct
47 Correct 14 ms 1664 KB Output is correct
48 Correct 16 ms 1664 KB Output is correct
49 Correct 10 ms 1280 KB Output is correct
50 Correct 12 ms 1280 KB Output is correct
51 Correct 14 ms 1408 KB Output is correct
52 Correct 13 ms 1408 KB Output is correct
53 Correct 14 ms 1408 KB Output is correct
54 Correct 16 ms 1536 KB Output is correct
55 Correct 17 ms 1408 KB Output is correct
56 Correct 15 ms 1408 KB Output is correct
57 Correct 13 ms 1408 KB Output is correct
58 Correct 12 ms 1408 KB Output is correct
59 Correct 13 ms 1408 KB Output is correct
60 Correct 13 ms 1408 KB Output is correct
61 Correct 13 ms 1408 KB Output is correct
62 Correct 14 ms 1408 KB Output is correct
63 Correct 14 ms 1408 KB Output is correct
64 Correct 14 ms 1408 KB Output is correct
65 Correct 14 ms 1408 KB Output is correct
66 Correct 15 ms 1408 KB Output is correct
67 Correct 14 ms 1408 KB Output is correct
68 Correct 5 ms 640 KB Output is correct
69 Correct 9 ms 1152 KB Output is correct
70 Correct 11 ms 1152 KB Output is correct
71 Correct 12 ms 1152 KB Output is correct
72 Correct 12 ms 1152 KB Output is correct
73 Correct 7 ms 768 KB Output is correct
74 Correct 15 ms 1024 KB Output is correct
75 Correct 1922 ms 1656 KB Output is correct
76 Correct 1235 ms 1784 KB Output is correct
77 Correct 1664 ms 1784 KB Output is correct
78 Correct 1645 ms 1784 KB Output is correct
79 Correct 1654 ms 1736 KB Output is correct
80 Correct 15 ms 1664 KB Output is correct
81 Correct 14 ms 1664 KB Output is correct
82 Correct 16 ms 1664 KB Output is correct
83 Correct 16 ms 1664 KB Output is correct
84 Correct 16 ms 1664 KB Output is correct
85 Correct 16 ms 1664 KB Output is correct
86 Correct 17 ms 1664 KB Output is correct
87 Correct 14 ms 1664 KB Output is correct
88 Correct 19 ms 1664 KB Output is correct
89 Correct 14 ms 1664 KB Output is correct
90 Correct 24 ms 1664 KB Output is correct
91 Correct 22 ms 1664 KB Output is correct
92 Correct 32 ms 1664 KB Output is correct
93 Correct 44 ms 1664 KB Output is correct
94 Correct 38 ms 1792 KB Output is correct
95 Correct 37 ms 1664 KB Output is correct
96 Correct 164 ms 1536 KB Output is correct
97 Correct 239 ms 1664 KB Output is correct
98 Correct 419 ms 1684 KB Output is correct
99 Correct 258 ms 1656 KB Output is correct
100 Correct 10 ms 1408 KB Output is correct