#include <bits/stdc++.h>
// cut here
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n)) x++;
return x;
}
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S>& v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++) d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1) sml = op(sml, d[l++]);
if (r & 1) smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n) return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0) l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0) return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
// cut here
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) a.begin(),a.end()
#define rep(i,n) for(int i=0;i<n;i++)
#define crep(i,x,n) for(int i=x;i<n;i++)
#define drep(i,n) for(int i=n-1;i>=0;i--)
#define vec(...) vector<__VA_ARGS__>
#define _3oKjziw ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0)
using namespace std;
typedef long long ll;
typedef long double ld;
using pii=pair<int,int>;
using vi=vector<int>;
pii op(pii l,pii r){
return {min(l.fi,r.fi),max(l.se,r.se)};
}
pii e(){
return {1e9,-1};
}
void slv(){
int n;
cin>>n;
string s;
cin>>s;
vec(vec(pii)) adj(n);
rep(i,n-3){
int u,v,_c;
cin>>u>>v>>_c;
u--,v--;
assert(u>=0 and v>=0);
adj[u].pb({v,_c});
adj[v].pb({u,_c});
}
atcoder::segtree<pii,op,e> seg(n+1);
rep(v,n){
for(auto edge : adj[v]){
int u=edge.fi;
seg.set(v,op(seg.get(v),{u,u}));
}
}
bool pok=1;
rep(v,n){
for(auto edge : adj[v]){
int u=edge.fi;
if(v>u) continue;
pii p=seg.prod(v+1,u);
if(p.fi<v or p.se>u){
pok=0;
}
}
}
if(not pok){
cout<<"neispravna triangulacija\n";
return;
}
rep(i,n-1){
adj[i].pb({i+1,s[i]-'0'});
adj[i+1].pb({i,s[i]-'0'});
}
adj[n-1].pb({0,s[n-1]-'0'});
adj[0].pb({n-1,s[n-1]-'0'});
int m=sqrt(n);
vi stars;
vi star(n,0);
rep(v,n){
if(sz(adj[v])>m){
star[v]=1;
stars.pb(v);
}
}
std::map<pii,int> mp;
rep(v,n){
for(auto edge : adj[v]){
int u=edge.fi;
mp[{v,u}]=edge.se;
}
}
pok=1;
rep(v,n){
if(star[v]==0){
rep(i,sz(adj[v])){
int u=adj[v][i].fi;
crep(j,i+1,sz(adj[v])){
int u1=adj[v][j].fi;
if(min({mp[{u,v}],mp[{u,u1}],mp[{v,u1}]})!=0
and (mp[{v,u}]==mp[{v,u1}]
or mp[{v,u1}]==mp[{u,u1}]
or mp[{u,u1}]==mp[{v,u}])){
pok=0;
}
}
}
rep(i,sz(adj[v])){
int u=adj[v][i].fi;
for(auto u1 : stars){
if(min({mp[{u,v}],mp[{u,u1}],mp[{v,u1}]})!=0
and (mp[{v,u}]==mp[{v,u1}]
or mp[{v,u1}]==mp[{u,u1}]
or mp[{u,u1}]==mp[{v,u}])){
pok=0;
}
}
}
}
}
if(not pok){
cout<<"neispravno bojenje\n";
return;
}
cout<<"tocno\n";
}
int main(){
_3oKjziw;
int t;
cin>>t;
slv();
//
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
308 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
2 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
308 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
2 ms |
332 KB |
Output is correct |
8 |
Correct |
10 ms |
1592 KB |
Output is correct |
9 |
Correct |
10 ms |
1484 KB |
Output is correct |
10 |
Correct |
2 ms |
460 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
9 ms |
1484 KB |
Output is correct |
13 |
Correct |
11 ms |
1508 KB |
Output is correct |
14 |
Correct |
10 ms |
1488 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1259 ms |
129936 KB |
Output is correct |
2 |
Correct |
1206 ms |
130388 KB |
Output is correct |
3 |
Correct |
176 ms |
20612 KB |
Output is correct |
4 |
Correct |
158 ms |
20616 KB |
Output is correct |
5 |
Correct |
148 ms |
20580 KB |
Output is correct |
6 |
Correct |
1638 ms |
101028 KB |
Output is correct |
7 |
Correct |
1849 ms |
101140 KB |
Output is correct |
8 |
Correct |
137 ms |
21816 KB |
Output is correct |
9 |
Correct |
137 ms |
21772 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1186 ms |
129908 KB |
Output is correct |
2 |
Correct |
1194 ms |
130236 KB |
Output is correct |
3 |
Correct |
1242 ms |
130464 KB |
Output is correct |
4 |
Correct |
1226 ms |
130104 KB |
Output is correct |
5 |
Correct |
1215 ms |
130184 KB |
Output is correct |
6 |
Correct |
1766 ms |
101052 KB |
Output is correct |
7 |
Correct |
1698 ms |
101016 KB |
Output is correct |
8 |
Correct |
1496 ms |
101116 KB |
Output is correct |
9 |
Correct |
1850 ms |
101040 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
308 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
2 ms |
332 KB |
Output is correct |
8 |
Correct |
10 ms |
1592 KB |
Output is correct |
9 |
Correct |
10 ms |
1484 KB |
Output is correct |
10 |
Correct |
2 ms |
460 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
9 ms |
1484 KB |
Output is correct |
13 |
Correct |
11 ms |
1508 KB |
Output is correct |
14 |
Correct |
10 ms |
1488 KB |
Output is correct |
15 |
Correct |
1259 ms |
129936 KB |
Output is correct |
16 |
Correct |
1206 ms |
130388 KB |
Output is correct |
17 |
Correct |
176 ms |
20612 KB |
Output is correct |
18 |
Correct |
158 ms |
20616 KB |
Output is correct |
19 |
Correct |
148 ms |
20580 KB |
Output is correct |
20 |
Correct |
1638 ms |
101028 KB |
Output is correct |
21 |
Correct |
1849 ms |
101140 KB |
Output is correct |
22 |
Correct |
137 ms |
21816 KB |
Output is correct |
23 |
Correct |
137 ms |
21772 KB |
Output is correct |
24 |
Correct |
1186 ms |
129908 KB |
Output is correct |
25 |
Correct |
1194 ms |
130236 KB |
Output is correct |
26 |
Correct |
1242 ms |
130464 KB |
Output is correct |
27 |
Correct |
1226 ms |
130104 KB |
Output is correct |
28 |
Correct |
1215 ms |
130184 KB |
Output is correct |
29 |
Correct |
1766 ms |
101052 KB |
Output is correct |
30 |
Correct |
1698 ms |
101016 KB |
Output is correct |
31 |
Correct |
1496 ms |
101116 KB |
Output is correct |
32 |
Correct |
1850 ms |
101040 KB |
Output is correct |
33 |
Correct |
1263 ms |
130332 KB |
Output is correct |
34 |
Correct |
1236 ms |
130176 KB |
Output is correct |
35 |
Correct |
192 ms |
20648 KB |
Output is correct |
36 |
Correct |
146 ms |
20564 KB |
Output is correct |
37 |
Correct |
1274 ms |
130428 KB |
Output is correct |
38 |
Correct |
1275 ms |
130464 KB |
Output is correct |
39 |
Correct |
1208 ms |
130172 KB |
Output is correct |
40 |
Correct |
1568 ms |
101080 KB |
Output is correct |
41 |
Correct |
1705 ms |
101132 KB |
Output is correct |
42 |
Correct |
148 ms |
21756 KB |
Output is correct |
43 |
Correct |
1698 ms |
101140 KB |
Output is correct |