oj.uz

Submission #297570

# Submission time Handle Problem Language Result Execution time Memory
297570 2020-09-11T15:59:23 Z shayan_p Split the Attractions (IOI19_split) C++17
100 / 100
 188 ms 17400 KB 
#include<bits/stdc++.h>
#include "split.h"

#define F first
#define S second
#define PB push_back
#define sz(s) (int(s.size()))
#define bit(n, k) (((n)>>(k))&1)

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

const int maxn = 1e5 + 10;

struct DSU{
    int pr[maxn];
    DSU(){
	memset(pr, -1, sizeof pr);
    }
    int fnd(int u){
	return pr[u] < 0 ? u : pr[u] = fnd(pr[u]);
    }
    void mrg(int a, int b){
	if( (a = fnd(a)) == (b = fnd(b)) )
	    return;
	if(pr[a] > pr[b])
	    swap(a, b);
	pr[a]+= pr[b];
	pr[b] = a;
    }
    int size(int u){
	return -pr[fnd(u)];
    }
};
DSU dsu;

vector<int> v[maxn];

int pr[maxn], SZ[maxn];
bool mark[maxn];
int col[maxn];

void dfs(int u){
    SZ[u] = 1;
    mark[u] = 1;
    for(int y : v[u]){
	if(!mark[y])
	    pr[y] = u, dfs(y), SZ[u]+= SZ[y];
    }
}

int color(int u, int cnt, int c){
    assert(cnt);
    cnt--;
    col[u] = c;
    for(int y : v[u]){
	if(mark[y] == mark[u] && col[y] != c && cnt)
	    cnt = color(y, cnt, c);
    }
    return cnt;
}

vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q){
    vector<pii> SZS;
    SZS.PB({a, 1});
    SZS.PB({b, 2});
    SZS.PB({c, 3});
    sort(SZS.begin(), SZS.end());

    int A = SZS[0].F;

    auto mkay = [&](){
		    int cnt = 0, ZR = -1, ON = -1;
		    for(int i = 0; i < n; i++){
			if(mark[i] == 0)
			    ZR = i;
			else
			    ON = i;
			cnt+= mark[i];
		    }
		    assert(A <= cnt && cnt <= n-A);
		    if(cnt > SZS[1].F)
			swap(ZR, ON);
		    color(ON, SZS[0].F, SZS[0].S);
		    color(ZR, SZS[1].F, SZS[1].S);
		    vector<int> ans;
		    for(int i = 0; i < n; i++){
			if(col[i] == 0)
			    col[i] = SZS[2].S;
			ans.PB(col[i]);
		    }
		    return ans;
		};

    int m = sz(p);
    for(int i = 0; i < m; i++){
	v[p[i]].PB(q[i]);
	v[q[i]].PB(p[i]);
    }

    dfs(0);
    for(int u = 0; u < n; u++){
	if(A <= SZ[u] && SZ[u] <= n-A){
	    for(int i = 0; i < n; i++)
		v[i].clear();
	    for(int i = 1; i < n; i++)
		v[i].PB(pr[i]), v[pr[i]].PB(i);
	    memset(mark, 0, sizeof mark);
	    mark[pr[u]] = 1;
	    dfs(u);
	    mark[pr[u]] = 0;
	    return mkay();
	}
    }

    int root = 0;
    for(int i = 0; i < n; i++){
	if(SZ[i] > n-A && SZ[root] > SZ[i])
	    root = i;
    }

    for(int i = 1; i < n; i++){
	if(i != root && pr[i] != root){
	    dsu.mrg(i, pr[i]);	    
	}
    }
    
    for(int i = 0; i < m; i++){
	if(p[i] == root || q[i] == root)
	    continue;
	dsu.mrg(p[i], q[i]);
	if(dsu.size(p[i]) >= A){
	    memset(mark, 0, sizeof mark);
	    for(int j = 0; j < n; j++){
		if(dsu.fnd(j) == dsu.fnd(p[i]))
		    mark[j] = 1;
	    }		
	    return mkay();
	}
    }

    vector<int> ans(n);
    return ans;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3200 KB ok, correct split
2 Correct 3 ms 3200 KB ok, correct split
3 Correct 2 ms 3200 KB ok, correct split
4 Correct 3 ms 3200 KB ok, correct split
5 Correct 3 ms 3200 KB ok, correct split
6 Correct 4 ms 3200 KB ok, correct split
7 Correct 167 ms 15336 KB ok, correct split
8 Correct 96 ms 13848 KB ok, correct split
9 Correct 106 ms 13496 KB ok, correct split
10 Correct 104 ms 15512 KB ok, correct split
11 Correct 121 ms 15520 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3328 KB ok, correct split
2 Correct 3 ms 3200 KB ok, correct split
3 Correct 2 ms 3200 KB ok, correct split
4 Correct 148 ms 14556 KB ok, correct split
5 Correct 99 ms 10872 KB ok, correct split
6 Correct 110 ms 15352 KB ok, correct split
7 Correct 131 ms 13860 KB ok, correct split
8 Correct 172 ms 14200 KB ok, correct split
9 Correct 118 ms 10872 KB ok, correct split
10 Correct 64 ms 10864 KB ok, correct split
11 Correct 65 ms 10996 KB ok, correct split
12 Correct 73 ms 11224 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 3200 KB ok, correct split
2 Correct 103 ms 10872 KB ok, correct split
3 Correct 32 ms 6392 KB ok, correct split
4 Correct 2 ms 3200 KB ok, correct split
5 Correct 112 ms 12408 KB ok, correct split
6 Correct 136 ms 12348 KB ok, correct split
7 Correct 139 ms 12172 KB ok, correct split
8 Correct 115 ms 12884 KB ok, correct split
9 Correct 121 ms 12024 KB ok, correct split
10 Correct 26 ms 5500 KB ok, no valid answer
11 Correct 43 ms 6656 KB ok, no valid answer
12 Correct 77 ms 10484 KB ok, no valid answer
13 Correct 87 ms 10360 KB ok, no valid answer
14 Correct 61 ms 10608 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3200 KB ok, correct split
2 Correct 2 ms 3072 KB ok, no valid answer
3 Correct 3 ms 3232 KB ok, correct split
4 Correct 3 ms 3200 KB ok, correct split
5 Correct 2 ms 3124 KB ok, correct split
6 Correct 2 ms 3200 KB ok, correct split
7 Correct 3 ms 3200 KB ok, correct split
8 Correct 2 ms 3200 KB ok, correct split
9 Correct 5 ms 3456 KB ok, correct split
10 Correct 5 ms 3488 KB ok, correct split
11 Correct 3 ms 3200 KB ok, correct split
12 Correct 5 ms 3456 KB ok, correct split
13 Correct 2 ms 3124 KB ok, correct split
14 Correct 3 ms 3200 KB ok, correct split
15 Correct 2 ms 3200 KB ok, correct split
16 Correct 2 ms 3200 KB ok, correct split
17 Correct 3 ms 3200 KB ok, correct split
18 Correct 2 ms 3200 KB ok, correct split
19 Correct 3 ms 3200 KB ok, correct split
20 Correct 3 ms 3328 KB ok, correct split
21 Correct 4 ms 3456 KB ok, correct split
22 Correct 4 ms 3456 KB ok, correct split
23 Correct 4 ms 3456 KB ok, correct split
24 Correct 8 ms 3392 KB ok, correct split
25 Correct 4 ms 3432 KB ok, correct split
26 Correct 5 ms 3456 KB ok, correct split
27 Correct 5 ms 3456 KB ok, correct split
28 Correct 5 ms 3456 KB ok, correct split
29 Correct 3 ms 3200 KB ok, correct split
30 Correct 5 ms 3456 KB ok, correct split
31 Correct 3 ms 3200 KB ok, correct split
32 Correct 4 ms 3200 KB ok, correct split
33 Correct 3 ms 3232 KB ok, correct split
34 Correct 5 ms 3360 KB ok, correct split
35 Correct 5 ms 3328 KB ok, correct split
36 Correct 4 ms 3328 KB ok, correct split
37 Correct 5 ms 3456 KB ok, correct split
38 Correct 5 ms 3456 KB ok, correct split
39 Correct 5 ms 3456 KB ok, correct split
40 Correct 6 ms 3488 KB ok, correct split
41 Correct 4 ms 3360 KB ok, correct split
42 Correct 4 ms 3328 KB ok, correct split
43 Correct 5 ms 3456 KB ok, correct split
44 Correct 5 ms 3456 KB ok, correct split
45 Correct 5 ms 3456 KB ok, correct split
46 Correct 4 ms 3456 KB ok, correct split
47 Correct 4 ms 3328 KB ok, no valid answer
48 Correct 4 ms 3328 KB ok, correct split
49 Correct 4 ms 3456 KB ok, correct split
50 Correct 2 ms 3072 KB ok, no valid answer
51 Correct 3 ms 3072 KB ok, no valid answer
52 Correct 4 ms 3200 KB ok, no valid answer
53 Correct 6 ms 3328 KB ok, no valid answer
54 Correct 8 ms 3200 KB ok, no valid answer
55 Correct 7 ms 3328 KB ok, no valid answer
56 Correct 6 ms 3328 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3200 KB ok, correct split
2 Correct 3 ms 3200 KB ok, correct split
3 Correct 2 ms 3200 KB ok, correct split
4 Correct 3 ms 3200 KB ok, correct split
5 Correct 3 ms 3200 KB ok, correct split
6 Correct 4 ms 3200 KB ok, correct split
7 Correct 167 ms 15336 KB ok, correct split
8 Correct 96 ms 13848 KB ok, correct split
9 Correct 106 ms 13496 KB ok, correct split
10 Correct 104 ms 15512 KB ok, correct split
11 Correct 121 ms 15520 KB ok, correct split
12 Correct 3 ms 3328 KB ok, correct split
13 Correct 3 ms 3200 KB ok, correct split
14 Correct 2 ms 3200 KB ok, correct split
15 Correct 148 ms 14556 KB ok, correct split
16 Correct 99 ms 10872 KB ok, correct split
17 Correct 110 ms 15352 KB ok, correct split
18 Correct 131 ms 13860 KB ok, correct split
19 Correct 172 ms 14200 KB ok, correct split
20 Correct 118 ms 10872 KB ok, correct split
21 Correct 64 ms 10864 KB ok, correct split
22 Correct 65 ms 10996 KB ok, correct split
23 Correct 73 ms 11224 KB ok, correct split
24 Correct 3 ms 3200 KB ok, correct split
25 Correct 103 ms 10872 KB ok, correct split
26 Correct 32 ms 6392 KB ok, correct split
27 Correct 2 ms 3200 KB ok, correct split
28 Correct 112 ms 12408 KB ok, correct split
29 Correct 136 ms 12348 KB ok, correct split
30 Correct 139 ms 12172 KB ok, correct split
31 Correct 115 ms 12884 KB ok, correct split
32 Correct 121 ms 12024 KB ok, correct split
33 Correct 26 ms 5500 KB ok, no valid answer
34 Correct 43 ms 6656 KB ok, no valid answer
35 Correct 77 ms 10484 KB ok, no valid answer
36 Correct 87 ms 10360 KB ok, no valid answer
37 Correct 61 ms 10608 KB ok, no valid answer
38 Correct 2 ms 3200 KB ok, correct split
39 Correct 2 ms 3072 KB ok, no valid answer
40 Correct 3 ms 3232 KB ok, correct split
41 Correct 3 ms 3200 KB ok, correct split
42 Correct 2 ms 3124 KB ok, correct split
43 Correct 2 ms 3200 KB ok, correct split
44 Correct 3 ms 3200 KB ok, correct split
45 Correct 2 ms 3200 KB ok, correct split
46 Correct 5 ms 3456 KB ok, correct split
47 Correct 5 ms 3488 KB ok, correct split
48 Correct 3 ms 3200 KB ok, correct split
49 Correct 5 ms 3456 KB ok, correct split
50 Correct 2 ms 3124 KB ok, correct split
51 Correct 3 ms 3200 KB ok, correct split
52 Correct 2 ms 3200 KB ok, correct split
53 Correct 2 ms 3200 KB ok, correct split
54 Correct 3 ms 3200 KB ok, correct split
55 Correct 2 ms 3200 KB ok, correct split
56 Correct 3 ms 3200 KB ok, correct split
57 Correct 3 ms 3328 KB ok, correct split
58 Correct 4 ms 3456 KB ok, correct split
59 Correct 4 ms 3456 KB ok, correct split
60 Correct 4 ms 3456 KB ok, correct split
61 Correct 8 ms 3392 KB ok, correct split
62 Correct 4 ms 3432 KB ok, correct split
63 Correct 5 ms 3456 KB ok, correct split
64 Correct 5 ms 3456 KB ok, correct split
65 Correct 5 ms 3456 KB ok, correct split
66 Correct 3 ms 3200 KB ok, correct split
67 Correct 5 ms 3456 KB ok, correct split
68 Correct 3 ms 3200 KB ok, correct split
69 Correct 4 ms 3200 KB ok, correct split
70 Correct 3 ms 3232 KB ok, correct split
71 Correct 5 ms 3360 KB ok, correct split
72 Correct 5 ms 3328 KB ok, correct split
73 Correct 4 ms 3328 KB ok, correct split
74 Correct 5 ms 3456 KB ok, correct split
75 Correct 5 ms 3456 KB ok, correct split
76 Correct 5 ms 3456 KB ok, correct split
77 Correct 6 ms 3488 KB ok, correct split
78 Correct 4 ms 3360 KB ok, correct split
79 Correct 4 ms 3328 KB ok, correct split
80 Correct 5 ms 3456 KB ok, correct split
81 Correct 5 ms 3456 KB ok, correct split
82 Correct 5 ms 3456 KB ok, correct split
83 Correct 4 ms 3456 KB ok, correct split
84 Correct 4 ms 3328 KB ok, no valid answer
85 Correct 4 ms 3328 KB ok, correct split
86 Correct 4 ms 3456 KB ok, correct split
87 Correct 2 ms 3072 KB ok, no valid answer
88 Correct 3 ms 3072 KB ok, no valid answer
89 Correct 4 ms 3200 KB ok, no valid answer
90 Correct 6 ms 3328 KB ok, no valid answer
91 Correct 8 ms 3200 KB ok, no valid answer
92 Correct 7 ms 3328 KB ok, no valid answer
93 Correct 6 ms 3328 KB ok, no valid answer
94 Correct 130 ms 12872 KB ok, correct split
95 Correct 188 ms 17400 KB ok, correct split
96 Correct 176 ms 15732 KB ok, correct split
97 Correct 32 ms 6392 KB ok, correct split
98 Correct 34 ms 6520 KB ok, correct split
99 Correct 56 ms 8832 KB ok, correct split
100 Correct 153 ms 14824 KB ok, correct split
101 Correct 166 ms 13556 KB ok, correct split
102 Correct 133 ms 13168 KB ok, correct split
103 Correct 123 ms 12948 KB ok, correct split
104 Correct 122 ms 14564 KB ok, correct split
105 Correct 68 ms 8056 KB ok, correct split
106 Correct 145 ms 14440 KB ok, correct split
107 Correct 96 ms 11000 KB ok, correct split
108 Correct 94 ms 10872 KB ok, correct split
109 Correct 164 ms 14260 KB ok, correct split
110 Correct 165 ms 14040 KB ok, correct split
111 Correct 157 ms 14192 KB ok, correct split
112 Correct 159 ms 14392 KB ok, correct split
113 Correct 147 ms 14388 KB ok, correct split
114 Correct 14 ms 4608 KB ok, correct split
115 Correct 14 ms 4352 KB ok, correct split
116 Correct 159 ms 14064 KB ok, correct split
117 Correct 144 ms 13936 KB ok, correct split
118 Correct 112 ms 10872 KB ok, correct split
119 Correct 107 ms 11000 KB ok, correct split
120 Correct 120 ms 13304 KB ok, correct split
121 Correct 88 ms 10332 KB ok, no valid answer
122 Correct 93 ms 10280 KB ok, no valid answer
123 Correct 147 ms 14200 KB ok, no valid answer
124 Correct 160 ms 14252 KB ok, no valid answer
125 Correct 91 ms 11576 KB ok, no valid answer
126 Correct 55 ms 9844 KB ok, no valid answer
127 Correct 119 ms 11988 KB ok, no valid answer