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Submission #598039

# Submission time Handle Problem Language Result Execution time Memory
598039 2022-07-17T12:22:57 Z boris_mihov Stranded Far From Home (BOI22_island) C++14
100 / 100
 232 ms 31268 KB 
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>

typedef long long llong;
const int MAXN = 200000 + 10;
const int INF = 1e9 + 10;

int n, m;
int a[MAXN], s[MAXN], inS[MAXN];
std::vector < int > g[MAXN];
std::vector < int > alive[MAXN];
struct DSUelement
{
    int par;
    int sum;
} c[MAXN];

int find(int x)
{
    if (c[x].par == x) return x;
    return c[x].par = find(c[x].par);
}

void connect(int x, int y)
{
    x = find(x);
    y = find(y);
    if (alive[x].size() > alive[y].size()) std::swap(x, y);
    c[x].par = y;
    c[y].sum += c[x].sum;
    c[y].sum = std::min(c[y].sum, INF);
    // alive[y].reserve(alive[x].size() + alive[y].size());
    for (int i : alive[x])
    {
        alive[y].push_back(i);
    }
}

bool areConnected(int x, int y)
{
    return find(x) == find(y);
}

char ans[MAXN];
void solve()
{
    std::iota(s+1, s+n+1, 1);
    std::sort(s+1, s+n+1, [&](int x, int y)
    {
        return a[x] < a[y];
    });

    for (int i = 1 ; i <= n ; ++i)
    {
        inS[s[i]] = i;
        c[i].par = i;
        c[i].sum = a[i];
        alive[i].push_back(i);
    }

    for (int i = 1 ; i <= n ; ++i)
    {
        int x = s[i];
        for (const int &j : g[x])
        {
            if (inS[j] > i || areConnected(x, j)) continue;
            int par = find(j);
            if (c[par].sum < a[x])
            {
                alive[par].clear();
            }

            connect(x, j);
        }
    }

    int findPar = find(1);
    std::fill(ans, ans+n, '0');
    for (int i : alive[findPar])
    {
        ans[i-1] = '1';
    }

    ans[n] = '\0';
    std::cout << ans << '\n';
}

void read()
{
    std::cin >> n >> m;
    for (int i = 1 ; i <= n ; ++i)
    {
        std::cin >> a[i];
    }

    for (int i = 1 ; i <= m ; ++i)
    {
        int x, y;
        std::cin >> x >> y;
        g[x].push_back(y);
        g[y].push_back(x);
    }
}

void fastIO()
{
    std::ios_base :: sync_with_stdio(0);
    std::cout.tie(nullptr);
    std::cin.tie(nullptr);
}

int main()
{
    fastIO();
    read();
    solve();

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9684 KB Output is correct
2 Correct 7 ms 9732 KB Output is correct
3 Correct 6 ms 9668 KB Output is correct
4 Correct 6 ms 9812 KB Output is correct
5 Correct 8 ms 9900 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 7 ms 9812 KB Output is correct
8 Correct 6 ms 9808 KB Output is correct
9 Correct 6 ms 9812 KB Output is correct
10 Correct 7 ms 9940 KB Output is correct
11 Correct 8 ms 9820 KB Output is correct
12 Correct 10 ms 9876 KB Output is correct
13 Correct 6 ms 9940 KB Output is correct
14 Correct 6 ms 9812 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 175 ms 27368 KB Output is correct
4 Correct 155 ms 30592 KB Output is correct
5 Correct 159 ms 28996 KB Output is correct
6 Correct 177 ms 29664 KB Output is correct
7 Correct 190 ms 29756 KB Output is correct
8 Correct 172 ms 28864 KB Output is correct
9 Correct 152 ms 30816 KB Output is correct
10 Correct 118 ms 27560 KB Output is correct
11 Correct 131 ms 28688 KB Output is correct
12 Correct 185 ms 28328 KB Output is correct
13 Correct 150 ms 31144 KB Output is correct
14 Correct 192 ms 30860 KB Output is correct
15 Correct 132 ms 27720 KB Output is correct
16 Correct 106 ms 27480 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 215 ms 30156 KB Output is correct
3 Correct 193 ms 30196 KB Output is correct
4 Correct 140 ms 30988 KB Output is correct
5 Correct 147 ms 30816 KB Output is correct
6 Correct 217 ms 30192 KB Output is correct
7 Correct 141 ms 27384 KB Output is correct
8 Correct 185 ms 27696 KB Output is correct
9 Correct 101 ms 27380 KB Output is correct
10 Correct 132 ms 28568 KB Output is correct
11 Correct 151 ms 30080 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 185 ms 27960 KB Output is correct
3 Correct 182 ms 28536 KB Output is correct
4 Correct 181 ms 29380 KB Output is correct
5 Correct 232 ms 30268 KB Output is correct
6 Correct 161 ms 27968 KB Output is correct
7 Correct 145 ms 28616 KB Output is correct
8 Correct 93 ms 29412 KB Output is correct
9 Correct 124 ms 19872 KB Output is correct
10 Correct 187 ms 31240 KB Output is correct
11 Correct 145 ms 30148 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9684 KB Output is correct
2 Correct 7 ms 9732 KB Output is correct
3 Correct 6 ms 9668 KB Output is correct
4 Correct 6 ms 9812 KB Output is correct
5 Correct 8 ms 9900 KB Output is correct
6 Correct 6 ms 9812 KB Output is correct
7 Correct 7 ms 9812 KB Output is correct
8 Correct 6 ms 9808 KB Output is correct
9 Correct 6 ms 9812 KB Output is correct
10 Correct 7 ms 9940 KB Output is correct
11 Correct 8 ms 9820 KB Output is correct
12 Correct 10 ms 9876 KB Output is correct
13 Correct 6 ms 9940 KB Output is correct
14 Correct 6 ms 9812 KB Output is correct
15 Correct 7 ms 9684 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 175 ms 27368 KB Output is correct
18 Correct 155 ms 30592 KB Output is correct
19 Correct 159 ms 28996 KB Output is correct
20 Correct 177 ms 29664 KB Output is correct
21 Correct 190 ms 29756 KB Output is correct
22 Correct 172 ms 28864 KB Output is correct
23 Correct 152 ms 30816 KB Output is correct
24 Correct 118 ms 27560 KB Output is correct
25 Correct 131 ms 28688 KB Output is correct
26 Correct 185 ms 28328 KB Output is correct
27 Correct 150 ms 31144 KB Output is correct
28 Correct 192 ms 30860 KB Output is correct
29 Correct 132 ms 27720 KB Output is correct
30 Correct 106 ms 27480 KB Output is correct
31 Correct 5 ms 9684 KB Output is correct
32 Correct 215 ms 30156 KB Output is correct
33 Correct 193 ms 30196 KB Output is correct
34 Correct 140 ms 30988 KB Output is correct
35 Correct 147 ms 30816 KB Output is correct
36 Correct 217 ms 30192 KB Output is correct
37 Correct 141 ms 27384 KB Output is correct
38 Correct 185 ms 27696 KB Output is correct
39 Correct 101 ms 27380 KB Output is correct
40 Correct 132 ms 28568 KB Output is correct
41 Correct 151 ms 30080 KB Output is correct
42 Correct 5 ms 9684 KB Output is correct
43 Correct 185 ms 27960 KB Output is correct
44 Correct 182 ms 28536 KB Output is correct
45 Correct 181 ms 29380 KB Output is correct
46 Correct 232 ms 30268 KB Output is correct
47 Correct 161 ms 27968 KB Output is correct
48 Correct 145 ms 28616 KB Output is correct
49 Correct 93 ms 29412 KB Output is correct
50 Correct 124 ms 19872 KB Output is correct
51 Correct 187 ms 31240 KB Output is correct
52 Correct 145 ms 30148 KB Output is correct
53 Correct 5 ms 9684 KB Output is correct
54 Correct 5 ms 9684 KB Output is correct
55 Correct 5 ms 9708 KB Output is correct
56 Correct 6 ms 9876 KB Output is correct
57 Correct 6 ms 9876 KB Output is correct
58 Correct 6 ms 9812 KB Output is correct
59 Correct 7 ms 9812 KB Output is correct
60 Correct 6 ms 9796 KB Output is correct
61 Correct 7 ms 9940 KB Output is correct
62 Correct 7 ms 9940 KB Output is correct
63 Correct 8 ms 9932 KB Output is correct
64 Correct 6 ms 9940 KB Output is correct
65 Correct 6 ms 9880 KB Output is correct
66 Correct 6 ms 9940 KB Output is correct
67 Correct 123 ms 27608 KB Output is correct
68 Correct 136 ms 30600 KB Output is correct
69 Correct 156 ms 28972 KB Output is correct
70 Correct 154 ms 29680 KB Output is correct
71 Correct 148 ms 29552 KB Output is correct
72 Correct 155 ms 28872 KB Output is correct
73 Correct 143 ms 30876 KB Output is correct
74 Correct 101 ms 27432 KB Output is correct
75 Correct 108 ms 28620 KB Output is correct
76 Correct 163 ms 28276 KB Output is correct
77 Correct 126 ms 31056 KB Output is correct
78 Correct 128 ms 30704 KB Output is correct
79 Correct 141 ms 27664 KB Output is correct
80 Correct 82 ms 27472 KB Output is correct
81 Correct 192 ms 30364 KB Output is correct
82 Correct 193 ms 30388 KB Output is correct
83 Correct 144 ms 31172 KB Output is correct
84 Correct 134 ms 31252 KB Output is correct
85 Correct 177 ms 30536 KB Output is correct
86 Correct 142 ms 27648 KB Output is correct
87 Correct 142 ms 27700 KB Output is correct
88 Correct 144 ms 28640 KB Output is correct
89 Correct 150 ms 29976 KB Output is correct
90 Correct 179 ms 28288 KB Output is correct
91 Correct 176 ms 28900 KB Output is correct
92 Correct 204 ms 29636 KB Output is correct
93 Correct 186 ms 30512 KB Output is correct
94 Correct 164 ms 28260 KB Output is correct
95 Correct 120 ms 28700 KB Output is correct
96 Correct 95 ms 29444 KB Output is correct
97 Correct 99 ms 19740 KB Output is correct
98 Correct 220 ms 31268 KB Output is correct
99 Correct 165 ms 30168 KB Output is correct
100 Correct 42 ms 12232 KB Output is correct
101 Correct 195 ms 28916 KB Output is correct
102 Correct 154 ms 24596 KB Output is correct
103 Correct 184 ms 24584 KB Output is correct
104 Correct 185 ms 27604 KB Output is correct