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Submission #1097848

# Submission time Handle Problem Language Result Execution time Memory
1097848 2024-10-08T10:47:44 Z VinhLuu Stranded Far From Home (BOI22_island) C++17
100 / 100
 259 ms 116220 KB 
#include <bits/stdc++.h>
#define int long long
#define ll long long
#define fi first
#define se second
#define all(vin) vin.begin(), vin.end()

using namespace std;

typedef pair<int,int> pii;
typedef pair<pii,int> tp;
const int N = 1e6 + 2;
//const int oo = 1e16;

int n, m, a[N], b[N];
vector<int> p[N], g[N], vr[N];

int w[N], pa[N], sz[N], t[N], mx[N];

int fin(int u){
  return pa[u] == u ? u : pa[u] = fin(pa[u]);
}

void dsu(int x,int y,int j){
  if(fin(x) == fin(y)) return;


  x = fin(x);
  y = fin(y);
  int px = mx[x], py = mx[y];
  g[px].push_back(py);
  t[py] = min(t[py], j);
  if(a[px] == a[py]) mx[y] = mx[x];
//  cerr << px << " " << py << " " << j << " p\n";
  if(sz[x] < sz[y]) swap(x, y);
  sz[x] += sz[y];
  pa[y] = x;
  w[x] += w[y];

  if(a[mx[y]] > a[mx[x]]) mx[x] = mx[y];
//  else if(a[mx[y]] == a[mx[x]] && )
}

void dfs(int u,int v){
  for(auto j : g[u]) if(j != v){
    t[j] = min(t[j], t[u]);
    dfs(j, u);
  }
}

signed main(){
  ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  #define task "v"
  if(fopen(task ".inp","r")){
    freopen(task ".inp","r",stdin);
    freopen(task ".out","w",stdout);
  }
  cin >> n >> m;

  vector<int> rrh;
  for(int i = 1; i <= n; i ++){
    cin >> a[i];
    rrh.push_back(a[i]);
  }
  sort(all(rrh));
  rrh.resize(unique(all(rrh)) - rrh.begin());
  for(int i = 1; i <= n; i ++){
    b[i] = lower_bound(all(rrh), a[i]) - rrh.begin() + 1;
    vr[b[i]].push_back(i);
  }
  for(int i = 1; i <= m; i ++){
    int x, y; cin >> x >> y;
    p[x].push_back(y);
    p[y].push_back(x);
  }
//  for(int i = 1; i <= n; i ++) cerr << i << " " << a[i] << " y\n";

  for(int i = 1; i <= n; i ++) pa[i] = i, sz[i] = 1, w[i] = a[i], t[i] = 1, mx[i] = i;

  for(int k = 1; k <= (int)rrh.size(); k ++){
    int val = rrh[k - 1];
    for(auto i : vr[k]){
      for(auto j : p[i]) if(a[j] == a[i]){
        dsu(i, j, 1);
      }else if(a[j] < a[i]){
        if(w[fin(j)] >= a[i]) dsu(i, j, 1);
        else dsu(i, j, 0);
      }
    }
  }
  int root = mx[fin(1)];
  dfs(root, 0);
  for(int i = 1; i <= n; i ++) cout << t[i];
}
/*
12 16
92 43 33 70 2 19 58 78 79 34 22 19
1 2
1 3
3 4
1 5
5 6
1 7
3 8
3 9
3 10
1 11
2 12
12 2
4 10
3 9
4 3
5 12
*/

Compilation message

island.cpp: In function 'int main()':
island.cpp:81:9: warning: unused variable 'val' [-Wunused-variable]
   81 |     int val = rrh[k - 1];
      |         ^~~
island.cpp:55:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   55 |     freopen(task ".inp","r",stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
island.cpp:56:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   56 |     freopen(task ".out","w",stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 70748 KB Output is correct
2 Correct 34 ms 70748 KB Output is correct
3 Correct 34 ms 70740 KB Output is correct
4 Correct 36 ms 71120 KB Output is correct
5 Correct 35 ms 71252 KB Output is correct
6 Correct 35 ms 70992 KB Output is correct
7 Correct 34 ms 71252 KB Output is correct
8 Correct 33 ms 70996 KB Output is correct
9 Correct 34 ms 71248 KB Output is correct
10 Correct 35 ms 71260 KB Output is correct
11 Correct 38 ms 71248 KB Output is correct
12 Correct 33 ms 71260 KB Output is correct
13 Correct 34 ms 70996 KB Output is correct
14 Correct 34 ms 71164 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 70740 KB Output is correct
2 Correct 35 ms 70736 KB Output is correct
3 Correct 161 ms 109616 KB Output is correct
4 Correct 126 ms 98420 KB Output is correct
5 Correct 180 ms 104640 KB Output is correct
6 Correct 180 ms 104820 KB Output is correct
7 Correct 175 ms 105668 KB Output is correct
8 Correct 138 ms 99656 KB Output is correct
9 Correct 151 ms 104132 KB Output is correct
10 Correct 140 ms 102956 KB Output is correct
11 Correct 122 ms 99260 KB Output is correct
12 Correct 144 ms 98164 KB Output is correct
13 Correct 121 ms 97228 KB Output is correct
14 Correct 123 ms 97472 KB Output is correct
15 Correct 157 ms 116220 KB Output is correct
16 Correct 125 ms 115140 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 70820 KB Output is correct
2 Correct 253 ms 104484 KB Output is correct
3 Correct 219 ms 103624 KB Output is correct
4 Correct 127 ms 98636 KB Output is correct
5 Correct 120 ms 97096 KB Output is correct
6 Correct 226 ms 104644 KB Output is correct
7 Correct 177 ms 116100 KB Output is correct
8 Correct 178 ms 116168 KB Output is correct
9 Correct 116 ms 115144 KB Output is correct
10 Correct 141 ms 105336 KB Output is correct
11 Correct 133 ms 100040 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 70740 KB Output is correct
2 Correct 176 ms 101576 KB Output is correct
3 Correct 175 ms 101316 KB Output is correct
4 Correct 163 ms 101260 KB Output is correct
5 Correct 162 ms 99908 KB Output is correct
6 Correct 153 ms 99396 KB Output is correct
7 Correct 131 ms 106252 KB Output is correct
8 Correct 108 ms 104904 KB Output is correct
9 Correct 113 ms 88944 KB Output is correct
10 Correct 156 ms 98372 KB Output is correct
11 Correct 125 ms 100040 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 70748 KB Output is correct
2 Correct 34 ms 70748 KB Output is correct
3 Correct 34 ms 70740 KB Output is correct
4 Correct 36 ms 71120 KB Output is correct
5 Correct 35 ms 71252 KB Output is correct
6 Correct 35 ms 70992 KB Output is correct
7 Correct 34 ms 71252 KB Output is correct
8 Correct 33 ms 70996 KB Output is correct
9 Correct 34 ms 71248 KB Output is correct
10 Correct 35 ms 71260 KB Output is correct
11 Correct 38 ms 71248 KB Output is correct
12 Correct 33 ms 71260 KB Output is correct
13 Correct 34 ms 70996 KB Output is correct
14 Correct 34 ms 71164 KB Output is correct
15 Correct 34 ms 70740 KB Output is correct
16 Correct 35 ms 70736 KB Output is correct
17 Correct 161 ms 109616 KB Output is correct
18 Correct 126 ms 98420 KB Output is correct
19 Correct 180 ms 104640 KB Output is correct
20 Correct 180 ms 104820 KB Output is correct
21 Correct 175 ms 105668 KB Output is correct
22 Correct 138 ms 99656 KB Output is correct
23 Correct 151 ms 104132 KB Output is correct
24 Correct 140 ms 102956 KB Output is correct
25 Correct 122 ms 99260 KB Output is correct
26 Correct 144 ms 98164 KB Output is correct
27 Correct 121 ms 97228 KB Output is correct
28 Correct 123 ms 97472 KB Output is correct
29 Correct 157 ms 116220 KB Output is correct
30 Correct 125 ms 115140 KB Output is correct
31 Correct 35 ms 70820 KB Output is correct
32 Correct 253 ms 104484 KB Output is correct
33 Correct 219 ms 103624 KB Output is correct
34 Correct 127 ms 98636 KB Output is correct
35 Correct 120 ms 97096 KB Output is correct
36 Correct 226 ms 104644 KB Output is correct
37 Correct 177 ms 116100 KB Output is correct
38 Correct 178 ms 116168 KB Output is correct
39 Correct 116 ms 115144 KB Output is correct
40 Correct 141 ms 105336 KB Output is correct
41 Correct 133 ms 100040 KB Output is correct
42 Correct 30 ms 70740 KB Output is correct
43 Correct 176 ms 101576 KB Output is correct
44 Correct 175 ms 101316 KB Output is correct
45 Correct 163 ms 101260 KB Output is correct
46 Correct 162 ms 99908 KB Output is correct
47 Correct 153 ms 99396 KB Output is correct
48 Correct 131 ms 106252 KB Output is correct
49 Correct 108 ms 104904 KB Output is correct
50 Correct 113 ms 88944 KB Output is correct
51 Correct 156 ms 98372 KB Output is correct
52 Correct 125 ms 100040 KB Output is correct
53 Correct 33 ms 70744 KB Output is correct
54 Correct 33 ms 70736 KB Output is correct
55 Correct 34 ms 70748 KB Output is correct
56 Correct 31 ms 71260 KB Output is correct
57 Correct 34 ms 71252 KB Output is correct
58 Correct 33 ms 71000 KB Output is correct
59 Correct 33 ms 71260 KB Output is correct
60 Correct 33 ms 71000 KB Output is correct
61 Correct 29 ms 71260 KB Output is correct
62 Correct 30 ms 71252 KB Output is correct
63 Correct 32 ms 71188 KB Output is correct
64 Correct 30 ms 71260 KB Output is correct
65 Correct 35 ms 71164 KB Output is correct
66 Correct 36 ms 71248 KB Output is correct
67 Correct 144 ms 109512 KB Output is correct
68 Correct 132 ms 98320 KB Output is correct
69 Correct 166 ms 104480 KB Output is correct
70 Correct 181 ms 104384 KB Output is correct
71 Correct 157 ms 105720 KB Output is correct
72 Correct 125 ms 99652 KB Output is correct
73 Correct 136 ms 104140 KB Output is correct
74 Correct 180 ms 103112 KB Output is correct
75 Correct 123 ms 99140 KB Output is correct
76 Correct 144 ms 98248 KB Output is correct
77 Correct 110 ms 97096 KB Output is correct
78 Correct 113 ms 97480 KB Output is correct
79 Correct 153 ms 116172 KB Output is correct
80 Correct 128 ms 115060 KB Output is correct
81 Correct 219 ms 104388 KB Output is correct
82 Correct 259 ms 103624 KB Output is correct
83 Correct 120 ms 98632 KB Output is correct
84 Correct 133 ms 97104 KB Output is correct
85 Correct 232 ms 104648 KB Output is correct
86 Correct 170 ms 116108 KB Output is correct
87 Correct 163 ms 116144 KB Output is correct
88 Correct 144 ms 105280 KB Output is correct
89 Correct 126 ms 100040 KB Output is correct
90 Correct 156 ms 101576 KB Output is correct
91 Correct 152 ms 101232 KB Output is correct
92 Correct 149 ms 101312 KB Output is correct
93 Correct 140 ms 99908 KB Output is correct
94 Correct 157 ms 99396 KB Output is correct
95 Correct 108 ms 106208 KB Output is correct
96 Correct 84 ms 104904 KB Output is correct
97 Correct 95 ms 89548 KB Output is correct
98 Correct 130 ms 98572 KB Output is correct
99 Correct 107 ms 101968 KB Output is correct
100 Correct 45 ms 79236 KB Output is correct
101 Correct 204 ms 104644 KB Output is correct
102 Correct 124 ms 95808 KB Output is correct
103 Correct 174 ms 102632 KB Output is correct
104 Correct 236 ms 106184 KB Output is correct