#include<bits/stdc++.h>
#define ll int
#define pll pair<ll, ll>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define ld long double
using namespace std;
const ll maxn=150005;
ll x[maxn], y[maxn], z[maxn], cnt[maxn];
ll cntx[maxn], cnty[maxn], cntz[maxn];
vector <ll> px[maxn], py[maxn], pz[maxn];
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
ll n; cin >> n;
vector <ll> nx, ny, nz;
for (ll i=1; i<=n; i++)
{
cin >> x[i] >> y[i] >> z[i];
nx.pb(x[i]), ny.pb(y[i]), nz.pb(z[i]);
}
sort(nx.begin(), nx.end());
nx.resize(unique(nx.begin(), nx.end())-nx.begin());
sort(ny.begin(), ny.end());
ny.resize(unique(ny.begin(), ny.end())-ny.begin());
sort(nz.begin(), nz.end());
nz.resize(unique(nz.begin(), nz.end())-nz.begin());
for (ll i=1; i<=n; i++)
{
x[i]=lower_bound(nx.begin(), nx.end(), x[i])-nx.begin()+1;
y[i]=lower_bound(ny.begin(), ny.end(), y[i])-ny.begin()+1;
z[i]=lower_bound(nz.begin(), nz.end(), z[i])-nz.begin()+1;
px[x[i]].pb(i), py[y[i]].pb(i), pz[z[i]].pb(i);
cntx[x[i]]++, cnty[y[i]]++, cntz[z[i]]++;
}
ll mx=nx.size(), my=ny.size(), mz=nz.size();
for (ll i=1; i<=n; i++)
{
cnt[i]=(x[i]==mx)+(y[i]==my)+(z[i]==mz);
if (cnt[i]>=2) cntx[x[i]]--, cnty[y[i]]--, cntz[z[i]]--;
}
while (1)
{
bool ok=1;
if (!cntx[mx] && mx)
{
while (!cntx[mx] && mx) mx--;
for (ll i:px[mx])
{
cnt[i]++;
if (cnt[i]==2)
{
ok=0;
cntx[x[i]]--, cnty[y[i]]--, cntz[z[i]]--;
}
}
}
if (!cnty[my] && my)
{
while (!cnty[my] && my) my--;
for (ll i:py[my])
{
cnt[i]++;
if (cnt[i]==2)
{
ok=0;
cntx[x[i]]--, cnty[y[i]]--, cntz[z[i]]--;
}
}
}
if (!cntz[mz] && mz)
{
while (!cntz[mz] && mz) mz--;
for (ll i:pz[mz])
{
cnt[i]++;
if (cnt[i]==2)
{
ok=0;
cntx[x[i]]--, cnty[y[i]]--, cntz[z[i]]--;
}
}
}
if (ok) break;
}
if (mx==0 && my==0 && mz==0) cout << -1;
else cout << nx[mx-1]+ny[my-1]+nz[mz-1] << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
14940 KB |
Output is correct |
2 |
Correct |
5 ms |
14936 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14936 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
5 ms |
14940 KB |
Output is correct |
7 |
Correct |
4 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
4 ms |
14940 KB |
Output is correct |
10 |
Correct |
4 ms |
14940 KB |
Output is correct |
11 |
Correct |
4 ms |
14936 KB |
Output is correct |
12 |
Correct |
4 ms |
14936 KB |
Output is correct |
13 |
Correct |
4 ms |
14936 KB |
Output is correct |
14 |
Correct |
5 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
14940 KB |
Output is correct |
16 |
Correct |
5 ms |
14940 KB |
Output is correct |
17 |
Correct |
4 ms |
14940 KB |
Output is correct |
18 |
Correct |
4 ms |
14940 KB |
Output is correct |
19 |
Correct |
4 ms |
14936 KB |
Output is correct |
20 |
Correct |
4 ms |
14940 KB |
Output is correct |
21 |
Correct |
5 ms |
14940 KB |
Output is correct |
22 |
Correct |
5 ms |
14940 KB |
Output is correct |
23 |
Correct |
5 ms |
14940 KB |
Output is correct |
24 |
Correct |
4 ms |
15192 KB |
Output is correct |
25 |
Correct |
5 ms |
14940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
14940 KB |
Output is correct |
2 |
Correct |
5 ms |
14936 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14936 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
5 ms |
14940 KB |
Output is correct |
7 |
Correct |
4 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
4 ms |
14940 KB |
Output is correct |
10 |
Correct |
4 ms |
14940 KB |
Output is correct |
11 |
Correct |
4 ms |
14936 KB |
Output is correct |
12 |
Correct |
4 ms |
14936 KB |
Output is correct |
13 |
Correct |
4 ms |
14936 KB |
Output is correct |
14 |
Correct |
5 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
14940 KB |
Output is correct |
16 |
Correct |
5 ms |
14940 KB |
Output is correct |
17 |
Correct |
4 ms |
14940 KB |
Output is correct |
18 |
Correct |
4 ms |
14940 KB |
Output is correct |
19 |
Correct |
4 ms |
14936 KB |
Output is correct |
20 |
Correct |
4 ms |
14940 KB |
Output is correct |
21 |
Correct |
5 ms |
14940 KB |
Output is correct |
22 |
Correct |
5 ms |
14940 KB |
Output is correct |
23 |
Correct |
5 ms |
14940 KB |
Output is correct |
24 |
Correct |
4 ms |
15192 KB |
Output is correct |
25 |
Correct |
5 ms |
14940 KB |
Output is correct |
26 |
Correct |
9 ms |
15192 KB |
Output is correct |
27 |
Correct |
7 ms |
15196 KB |
Output is correct |
28 |
Correct |
8 ms |
15196 KB |
Output is correct |
29 |
Correct |
7 ms |
15192 KB |
Output is correct |
30 |
Correct |
6 ms |
15196 KB |
Output is correct |
31 |
Correct |
7 ms |
14940 KB |
Output is correct |
32 |
Correct |
6 ms |
14936 KB |
Output is correct |
33 |
Correct |
5 ms |
14940 KB |
Output is correct |
34 |
Correct |
7 ms |
15196 KB |
Output is correct |
35 |
Correct |
4 ms |
14940 KB |
Output is correct |
36 |
Correct |
4 ms |
14940 KB |
Output is correct |
37 |
Correct |
7 ms |
15196 KB |
Output is correct |
38 |
Correct |
6 ms |
15192 KB |
Output is correct |
39 |
Correct |
4 ms |
14940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14940 KB |
Output is correct |
5 |
Correct |
5 ms |
14936 KB |
Output is correct |
6 |
Correct |
5 ms |
14936 KB |
Output is correct |
7 |
Correct |
4 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
5 ms |
14940 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
41 ms |
18912 KB |
Output is correct |
12 |
Correct |
28 ms |
17872 KB |
Output is correct |
13 |
Correct |
28 ms |
18372 KB |
Output is correct |
14 |
Correct |
42 ms |
19652 KB |
Output is correct |
15 |
Correct |
41 ms |
19372 KB |
Output is correct |
16 |
Correct |
31 ms |
19900 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14940 KB |
Output is correct |
5 |
Correct |
5 ms |
14936 KB |
Output is correct |
6 |
Correct |
5 ms |
14936 KB |
Output is correct |
7 |
Correct |
4 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
5 ms |
14940 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
41 ms |
18912 KB |
Output is correct |
12 |
Correct |
28 ms |
17872 KB |
Output is correct |
13 |
Correct |
28 ms |
18372 KB |
Output is correct |
14 |
Correct |
42 ms |
19652 KB |
Output is correct |
15 |
Correct |
41 ms |
19372 KB |
Output is correct |
16 |
Correct |
31 ms |
19900 KB |
Output is correct |
17 |
Correct |
4 ms |
14936 KB |
Output is correct |
18 |
Correct |
5 ms |
14940 KB |
Output is correct |
19 |
Correct |
4 ms |
14940 KB |
Output is correct |
20 |
Correct |
4 ms |
14944 KB |
Output is correct |
21 |
Correct |
5 ms |
14940 KB |
Output is correct |
22 |
Correct |
50 ms |
18980 KB |
Output is correct |
23 |
Correct |
45 ms |
18620 KB |
Output is correct |
24 |
Correct |
38 ms |
18084 KB |
Output is correct |
25 |
Correct |
50 ms |
19388 KB |
Output is correct |
26 |
Correct |
39 ms |
19132 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14940 KB |
Output is correct |
5 |
Correct |
5 ms |
14936 KB |
Output is correct |
6 |
Correct |
5 ms |
14936 KB |
Output is correct |
7 |
Correct |
4 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
5 ms |
14940 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
41 ms |
18912 KB |
Output is correct |
12 |
Correct |
28 ms |
17872 KB |
Output is correct |
13 |
Correct |
28 ms |
18372 KB |
Output is correct |
14 |
Correct |
42 ms |
19652 KB |
Output is correct |
15 |
Correct |
41 ms |
19372 KB |
Output is correct |
16 |
Correct |
31 ms |
19900 KB |
Output is correct |
17 |
Correct |
4 ms |
14936 KB |
Output is correct |
18 |
Correct |
5 ms |
14940 KB |
Output is correct |
19 |
Correct |
4 ms |
14940 KB |
Output is correct |
20 |
Correct |
4 ms |
14944 KB |
Output is correct |
21 |
Correct |
5 ms |
14940 KB |
Output is correct |
22 |
Correct |
50 ms |
18980 KB |
Output is correct |
23 |
Correct |
45 ms |
18620 KB |
Output is correct |
24 |
Correct |
38 ms |
18084 KB |
Output is correct |
25 |
Correct |
50 ms |
19388 KB |
Output is correct |
26 |
Correct |
39 ms |
19132 KB |
Output is correct |
27 |
Correct |
5 ms |
14940 KB |
Output is correct |
28 |
Correct |
4 ms |
14940 KB |
Output is correct |
29 |
Correct |
4 ms |
14956 KB |
Output is correct |
30 |
Correct |
4 ms |
14940 KB |
Output is correct |
31 |
Correct |
6 ms |
14936 KB |
Output is correct |
32 |
Correct |
4 ms |
14940 KB |
Output is correct |
33 |
Correct |
5 ms |
14936 KB |
Output is correct |
34 |
Correct |
66 ms |
18868 KB |
Output is correct |
35 |
Correct |
67 ms |
19704 KB |
Output is correct |
36 |
Correct |
72 ms |
19644 KB |
Output is correct |
37 |
Correct |
70 ms |
19384 KB |
Output is correct |
38 |
Correct |
46 ms |
19132 KB |
Output is correct |
39 |
Correct |
28 ms |
17612 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14940 KB |
Output is correct |
5 |
Correct |
5 ms |
14936 KB |
Output is correct |
6 |
Correct |
5 ms |
14936 KB |
Output is correct |
7 |
Correct |
4 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
5 ms |
14940 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
41 ms |
18912 KB |
Output is correct |
12 |
Correct |
28 ms |
17872 KB |
Output is correct |
13 |
Correct |
28 ms |
18372 KB |
Output is correct |
14 |
Correct |
42 ms |
19652 KB |
Output is correct |
15 |
Correct |
41 ms |
19372 KB |
Output is correct |
16 |
Correct |
31 ms |
19900 KB |
Output is correct |
17 |
Correct |
4 ms |
14936 KB |
Output is correct |
18 |
Correct |
5 ms |
14940 KB |
Output is correct |
19 |
Correct |
4 ms |
14940 KB |
Output is correct |
20 |
Correct |
4 ms |
14944 KB |
Output is correct |
21 |
Correct |
5 ms |
14940 KB |
Output is correct |
22 |
Correct |
50 ms |
18980 KB |
Output is correct |
23 |
Correct |
45 ms |
18620 KB |
Output is correct |
24 |
Correct |
38 ms |
18084 KB |
Output is correct |
25 |
Correct |
50 ms |
19388 KB |
Output is correct |
26 |
Correct |
39 ms |
19132 KB |
Output is correct |
27 |
Correct |
5 ms |
14940 KB |
Output is correct |
28 |
Correct |
4 ms |
14940 KB |
Output is correct |
29 |
Correct |
4 ms |
14956 KB |
Output is correct |
30 |
Correct |
4 ms |
14940 KB |
Output is correct |
31 |
Correct |
6 ms |
14936 KB |
Output is correct |
32 |
Correct |
4 ms |
14940 KB |
Output is correct |
33 |
Correct |
5 ms |
14936 KB |
Output is correct |
34 |
Correct |
66 ms |
18868 KB |
Output is correct |
35 |
Correct |
67 ms |
19704 KB |
Output is correct |
36 |
Correct |
72 ms |
19644 KB |
Output is correct |
37 |
Correct |
70 ms |
19384 KB |
Output is correct |
38 |
Correct |
46 ms |
19132 KB |
Output is correct |
39 |
Correct |
28 ms |
17612 KB |
Output is correct |
40 |
Correct |
8 ms |
15196 KB |
Output is correct |
41 |
Correct |
6 ms |
15072 KB |
Output is correct |
42 |
Correct |
6 ms |
15196 KB |
Output is correct |
43 |
Correct |
7 ms |
15196 KB |
Output is correct |
44 |
Correct |
94 ms |
20152 KB |
Output is correct |
45 |
Correct |
92 ms |
19628 KB |
Output is correct |
46 |
Correct |
111 ms |
21904 KB |
Output is correct |
47 |
Correct |
95 ms |
21696 KB |
Output is correct |
48 |
Correct |
56 ms |
21436 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
14940 KB |
Output is correct |
2 |
Correct |
5 ms |
14936 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14936 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
5 ms |
14940 KB |
Output is correct |
7 |
Correct |
4 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
4 ms |
14940 KB |
Output is correct |
10 |
Correct |
4 ms |
14940 KB |
Output is correct |
11 |
Correct |
4 ms |
14936 KB |
Output is correct |
12 |
Correct |
4 ms |
14936 KB |
Output is correct |
13 |
Correct |
4 ms |
14936 KB |
Output is correct |
14 |
Correct |
5 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
14940 KB |
Output is correct |
16 |
Correct |
5 ms |
14940 KB |
Output is correct |
17 |
Correct |
4 ms |
14940 KB |
Output is correct |
18 |
Correct |
4 ms |
14940 KB |
Output is correct |
19 |
Correct |
4 ms |
14936 KB |
Output is correct |
20 |
Correct |
4 ms |
14940 KB |
Output is correct |
21 |
Correct |
5 ms |
14940 KB |
Output is correct |
22 |
Correct |
5 ms |
14940 KB |
Output is correct |
23 |
Correct |
5 ms |
14940 KB |
Output is correct |
24 |
Correct |
4 ms |
15192 KB |
Output is correct |
25 |
Correct |
5 ms |
14940 KB |
Output is correct |
26 |
Correct |
9 ms |
15192 KB |
Output is correct |
27 |
Correct |
7 ms |
15196 KB |
Output is correct |
28 |
Correct |
8 ms |
15196 KB |
Output is correct |
29 |
Correct |
7 ms |
15192 KB |
Output is correct |
30 |
Correct |
6 ms |
15196 KB |
Output is correct |
31 |
Correct |
7 ms |
14940 KB |
Output is correct |
32 |
Correct |
6 ms |
14936 KB |
Output is correct |
33 |
Correct |
5 ms |
14940 KB |
Output is correct |
34 |
Correct |
7 ms |
15196 KB |
Output is correct |
35 |
Correct |
4 ms |
14940 KB |
Output is correct |
36 |
Correct |
4 ms |
14940 KB |
Output is correct |
37 |
Correct |
7 ms |
15196 KB |
Output is correct |
38 |
Correct |
6 ms |
15192 KB |
Output is correct |
39 |
Correct |
4 ms |
14940 KB |
Output is correct |
40 |
Correct |
4 ms |
14940 KB |
Output is correct |
41 |
Correct |
4 ms |
14940 KB |
Output is correct |
42 |
Correct |
4 ms |
14940 KB |
Output is correct |
43 |
Correct |
5 ms |
14940 KB |
Output is correct |
44 |
Correct |
5 ms |
14936 KB |
Output is correct |
45 |
Correct |
5 ms |
14936 KB |
Output is correct |
46 |
Correct |
4 ms |
14936 KB |
Output is correct |
47 |
Correct |
4 ms |
14940 KB |
Output is correct |
48 |
Correct |
5 ms |
14940 KB |
Output is correct |
49 |
Correct |
5 ms |
14940 KB |
Output is correct |
50 |
Correct |
41 ms |
18912 KB |
Output is correct |
51 |
Correct |
28 ms |
17872 KB |
Output is correct |
52 |
Correct |
28 ms |
18372 KB |
Output is correct |
53 |
Correct |
42 ms |
19652 KB |
Output is correct |
54 |
Correct |
41 ms |
19372 KB |
Output is correct |
55 |
Correct |
31 ms |
19900 KB |
Output is correct |
56 |
Correct |
4 ms |
14936 KB |
Output is correct |
57 |
Correct |
5 ms |
14940 KB |
Output is correct |
58 |
Correct |
4 ms |
14940 KB |
Output is correct |
59 |
Correct |
4 ms |
14944 KB |
Output is correct |
60 |
Correct |
5 ms |
14940 KB |
Output is correct |
61 |
Correct |
50 ms |
18980 KB |
Output is correct |
62 |
Correct |
45 ms |
18620 KB |
Output is correct |
63 |
Correct |
38 ms |
18084 KB |
Output is correct |
64 |
Correct |
50 ms |
19388 KB |
Output is correct |
65 |
Correct |
39 ms |
19132 KB |
Output is correct |
66 |
Correct |
5 ms |
14940 KB |
Output is correct |
67 |
Correct |
4 ms |
14940 KB |
Output is correct |
68 |
Correct |
4 ms |
14956 KB |
Output is correct |
69 |
Correct |
4 ms |
14940 KB |
Output is correct |
70 |
Correct |
6 ms |
14936 KB |
Output is correct |
71 |
Correct |
4 ms |
14940 KB |
Output is correct |
72 |
Correct |
5 ms |
14936 KB |
Output is correct |
73 |
Correct |
66 ms |
18868 KB |
Output is correct |
74 |
Correct |
67 ms |
19704 KB |
Output is correct |
75 |
Correct |
72 ms |
19644 KB |
Output is correct |
76 |
Correct |
70 ms |
19384 KB |
Output is correct |
77 |
Correct |
46 ms |
19132 KB |
Output is correct |
78 |
Correct |
28 ms |
17612 KB |
Output is correct |
79 |
Correct |
8 ms |
15196 KB |
Output is correct |
80 |
Correct |
6 ms |
15072 KB |
Output is correct |
81 |
Correct |
6 ms |
15196 KB |
Output is correct |
82 |
Correct |
7 ms |
15196 KB |
Output is correct |
83 |
Correct |
94 ms |
20152 KB |
Output is correct |
84 |
Correct |
92 ms |
19628 KB |
Output is correct |
85 |
Correct |
111 ms |
21904 KB |
Output is correct |
86 |
Correct |
95 ms |
21696 KB |
Output is correct |
87 |
Correct |
56 ms |
21436 KB |
Output is correct |
88 |
Correct |
243 ms |
34744 KB |
Output is correct |
89 |
Correct |
224 ms |
28856 KB |
Output is correct |
90 |
Correct |
214 ms |
29396 KB |
Output is correct |
91 |
Correct |
184 ms |
27324 KB |
Output is correct |
92 |
Correct |
127 ms |
23480 KB |
Output is correct |
93 |
Correct |
183 ms |
28000 KB |
Output is correct |
94 |
Correct |
193 ms |
25020 KB |
Output is correct |
95 |
Correct |
87 ms |
25524 KB |
Output is correct |
96 |
Correct |
297 ms |
34896 KB |
Output is correct |
97 |
Correct |
53 ms |
23740 KB |
Output is correct |
98 |
Correct |
83 ms |
24796 KB |
Output is correct |
99 |
Correct |
102 ms |
24676 KB |
Output is correct |