#include <bits/stdc++.h>
#define all(x) x.begin(),x.end()
#define MP make_pair
#define PB push_back
#define ft first
#define sd second
#define pii pair<int, int>
#define pi3 pair<pii, int>
#define MP3(a, b,c) MP(MP(a, b), c)
#define sz(x) ((ll)x.size())
using namespace std;
typedef long long ll;
const ll N = 200100;
const ll oo = 1e18;
vector<pi3> vc;
unordered_map<int, int> col[N];
set<pi3> st[3][3];
int nx[N], pre[N], kol[N], n, obr[3];
void BAD(){
cout << "NE";
exit(0);
}
int MEX(int x, int y){
if (x != 0 && y != 0) return 0;
if (x != 1 && y != 1) return 1;
return 2;
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
// freopen("in.txt","r",stdin);
cin >> n;
for (int i = 0; i < n; i++){
char x; cin >> x;
col[i][(i + 1) % n] = x - '1';
kol[x - '1']++;
nx[i] = (i + 1) % n;
pre[i] = (i - 1 + n) % n;
}
for (int i = 1; i < n; i++) {
int nt = (i + 1) % n;
int nnt = (nt + 1) % n;
st[col[i][nt]][col[nt][nnt]].insert(MP3(i, nt, nnt));
}
for (int it = n - 3; it >= 0; it--){
if (it == 0){
if (sz(st[1][1]) || sz(st[2][2]) || sz(st[0][0]))
BAD();
} else {
bool was = 0;
obr[0] = 0;
obr[1] = 1;
obr[2] = 2;
if (kol[obr[0]]< kol[obr[1]]) swap(obr[0], obr[1]);
if (kol[obr[1]]< kol[obr[2]]) swap(obr[1], obr[2]);
if (kol[obr[0]]< kol[obr[1]]) swap(obr[0], obr[1]);
for (int C1 = 0; C1 < 3 && !was; C1++)
for (int C2 = 0; C2 < 3 && !was; C2++) {
int c1 = obr[C1];
int c2 = obr[C2];
if (c1 != c2 && sz(st[c1][c2])){
pi3 CR = (*st[c1][c2].begin());
st[c1][c2].erase(st[c1][c2].begin());
was = 1;
int i1 = CR.ft.ft, i2 = CR.ft.sd, i3 = CR.sd;
// cerr << i1 << " " << i2 << " " << i3 << '\n';
// cerr << col[i1][i2] << '\n';
// cerr << col[i2][i3] << '\n';
kol[col[i1][i2]]--;
kol[col[i2][i3]]--;
pre[i3] = i1;
nx[i1] = i3;
st[col[i2][i3]][col[i3][nx[i3]]].erase(MP3(i2, i3, nx[i3]));
st[col[pre[i1]][i1]][col[i1][i2]].erase(MP3(pre[i1], i1, i2));
col[i1][i3] = MEX(col[i1][i2], col[i2][i3]);
kol[col[i1][i3]]++;
vc.PB(MP3(i1, i3, col[i1][i3]));
st[col[pre[i1]][i1]][col[i1][i3]].insert(MP3(pre[i1], i1, i3));
st[col[i1][i3]][col[i3][nx[i3]]].insert(MP3(i1, i3, nx[i3]));
break;
}
}
if (!was)
BAD();
}
}
cout << "DA\n";
for (pi3 x : vc)
cout << x.ft.ft + 1 << " " << x.ft.sd + 1 << " " << x.sd + 1 << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
11264 KB |
Output is correct |
2 |
Correct |
11 ms |
11264 KB |
Output is correct |
3 |
Correct |
11 ms |
11264 KB |
Output is correct |
4 |
Correct |
11 ms |
11264 KB |
Output is correct |
5 |
Correct |
11 ms |
11392 KB |
Output is correct |
6 |
Correct |
11 ms |
11264 KB |
Output is correct |
7 |
Correct |
11 ms |
11264 KB |
Output is correct |
8 |
Correct |
11 ms |
11264 KB |
Output is correct |
9 |
Correct |
11 ms |
11264 KB |
Output is correct |
10 |
Correct |
11 ms |
11392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
11264 KB |
Output is correct |
2 |
Correct |
11 ms |
11264 KB |
Output is correct |
3 |
Correct |
11 ms |
11264 KB |
Output is correct |
4 |
Correct |
11 ms |
11264 KB |
Output is correct |
5 |
Correct |
11 ms |
11392 KB |
Output is correct |
6 |
Correct |
11 ms |
11264 KB |
Output is correct |
7 |
Correct |
11 ms |
11264 KB |
Output is correct |
8 |
Correct |
11 ms |
11264 KB |
Output is correct |
9 |
Correct |
11 ms |
11264 KB |
Output is correct |
10 |
Correct |
11 ms |
11392 KB |
Output is correct |
11 |
Correct |
11 ms |
11264 KB |
Output is correct |
12 |
Correct |
12 ms |
11520 KB |
Output is correct |
13 |
Correct |
12 ms |
11520 KB |
Output is correct |
14 |
Correct |
11 ms |
11264 KB |
Output is correct |
15 |
Correct |
11 ms |
11264 KB |
Output is correct |
16 |
Correct |
12 ms |
11520 KB |
Output is correct |
17 |
Correct |
11 ms |
11392 KB |
Output is correct |
18 |
Correct |
13 ms |
11520 KB |
Output is correct |
19 |
Correct |
11 ms |
11520 KB |
Output is correct |
20 |
Correct |
13 ms |
11520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
11264 KB |
Output is correct |
2 |
Correct |
11 ms |
11264 KB |
Output is correct |
3 |
Correct |
11 ms |
11264 KB |
Output is correct |
4 |
Correct |
11 ms |
11264 KB |
Output is correct |
5 |
Correct |
11 ms |
11392 KB |
Output is correct |
6 |
Correct |
11 ms |
11264 KB |
Output is correct |
7 |
Correct |
11 ms |
11264 KB |
Output is correct |
8 |
Correct |
11 ms |
11264 KB |
Output is correct |
9 |
Correct |
11 ms |
11264 KB |
Output is correct |
10 |
Correct |
11 ms |
11392 KB |
Output is correct |
11 |
Correct |
11 ms |
11264 KB |
Output is correct |
12 |
Correct |
12 ms |
11520 KB |
Output is correct |
13 |
Correct |
12 ms |
11520 KB |
Output is correct |
14 |
Correct |
11 ms |
11264 KB |
Output is correct |
15 |
Correct |
11 ms |
11264 KB |
Output is correct |
16 |
Correct |
12 ms |
11520 KB |
Output is correct |
17 |
Correct |
11 ms |
11392 KB |
Output is correct |
18 |
Correct |
13 ms |
11520 KB |
Output is correct |
19 |
Correct |
11 ms |
11520 KB |
Output is correct |
20 |
Correct |
13 ms |
11520 KB |
Output is correct |
21 |
Correct |
264 ms |
43312 KB |
Output is correct |
22 |
Correct |
236 ms |
42776 KB |
Output is correct |
23 |
Correct |
11 ms |
11264 KB |
Output is correct |
24 |
Correct |
11 ms |
11264 KB |
Output is correct |
25 |
Correct |
328 ms |
43800 KB |
Output is correct |
26 |
Correct |
11 ms |
11264 KB |
Output is correct |
27 |
Correct |
167 ms |
27564 KB |
Output is correct |
28 |
Correct |
278 ms |
41384 KB |
Output is correct |
29 |
Correct |
11 ms |
11264 KB |
Output is correct |
30 |
Correct |
109 ms |
38316 KB |
Output is correct |