| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 790757 |
2023-07-23T07:39:32 Z |
Gray |
Mecho (IOI09_mecho) |
C++17 |
|
1000 ms |
6836 KB |
// Source: https://usaco.guide/general/io
#include <bits/stdc++.h>
#define ll int
#define ld long double
#define ln "\n"
#define ff first
#define ss second
#define INF 2e9
using namespace std;
void solve(){
ll n, s; cin >> n >> s;
vector<vector<char>> gr(n, vector<char>(n));
vector<pair<ll, ll>> hvs;
pair<ll, ll> bcor, hcor;
for (ll i=0; i<n; i++){
for (ll j=0; j<n; j++){
cin >> gr[i][j];
if (gr[i][j]=='H'){
hvs.push_back({i, j});
}else if (gr[i][j]=='M'){
bcor = {i, j};
}else if (gr[i][j]=='D'){
hcor = {i, j};
}
}
}
vector<vector<ll>> hpath(n, vector<ll>(n, INF));
auto bfs1 = [&](pair<ll, ll> cord){
hpath[cord.ff][cord.ss]=1;
vector<vector<ll>> vi(n, vector<ll>(n, INF));
queue<pair<ll, ll>> q;
q.push(cord);
vi[cord.ff][cord.ss]=1;
while (!q.empty()){
pair<ll, ll> cur = q.front();
q.pop();
if (cur.ff>0 and vi[cur.ff-1][cur.ss]==INF and gr[cur.ff-1][cur.ss]!='T' and gr[cur.ff-1][cur.ss]!='D' and gr[cur.ff-1][cur.ss]!='H'){
vi[cur.ff-1][cur.ss]=vi[cur.ff][cur.ss]+1;
hpath[cur.ff-1][cur.ss]=min(hpath[cur.ff-1][cur.ss], vi[cur.ff-1][cur.ss]);
q.push({cur.ff-1, cur.ss});
}
if (cur.ss>0 and vi[cur.ff][cur.ss-1]==INF and gr[cur.ff][cur.ss-1]!='T' and gr[cur.ff][cur.ss-1]!='D' and gr[cur.ff][cur.ss-1]!='H'){
vi[cur.ff][cur.ss-1]=vi[cur.ff][cur.ss]+1;
hpath[cur.ff][cur.ss-1]=min(hpath[cur.ff][cur.ss-1], vi[cur.ff][cur.ss-1]);
q.push({cur.ff, cur.ss-1});
}
if (cur.ff+1<n and vi[cur.ff+1][cur.ss]==INF and gr[cur.ff+1][cur.ss]!='T' and gr[cur.ff+1][cur.ss]!='D' and gr[cur.ff+1][cur.ss]!='H'){
vi[cur.ff+1][cur.ss]=vi[cur.ff][cur.ss]+1;
hpath[cur.ff+1][cur.ss]=min(hpath[cur.ff+1][cur.ss], vi[cur.ff+1][cur.ss]);
q.push({cur.ff+1, cur.ss});
}
if (cur.ss+1<n and vi[cur.ff][cur.ss+1]==INF and gr[cur.ff][cur.ss+1]!='T' and gr[cur.ff][cur.ss+1]!='D' and gr[cur.ff][cur.ss+1]!='H'){
vi[cur.ff][cur.ss+1]=vi[cur.ff][cur.ss]+1;
hpath[cur.ff][cur.ss+1]=min(hpath[cur.ff][cur.ss+1], vi[cur.ff][cur.ss+1]);
q.push({cur.ff, cur.ss+1});
}
}
};
auto bfs2 = [&](ll wt) -> bool{
pair<ll, ll> cord = bcor;
if (hpath[cord.ff][cord.ss]-1<wt) {
// cout << "Fail at start: " << hpath[cord.ff][cord.ss] << " <: " << cord.ff << "," << cord.ss << " -> " << wt << ln;
return 0;
}
vector<vector<ll>> vi(n, vector<ll>(n, INF));
queue<pair<ll, ll>> q;
q.push(cord);
vi[cord.ff][cord.ss]=wt;
while (!q.empty()){
pair<ll, ll> cur = q.front();
q.pop();
// cout << "(" << cur.ss << "," << cur.ff << ") -> hpath=" << hpath[cur.ff][cur.ss] << "; mdist=" << vi[cur.ff][cur.ss]-wt << "; required=" << ((vi[cur.ff][cur.ss]-wt)/s+wt) << "; " << " possible=" << hpath[cur.ff][cur.ss]-(vi[cur.ff][cur.ss]-wt)/s-1 << ln;
if (cur.ff>0 and vi[cur.ff-1][cur.ss]==INF and gr[cur.ff-1][cur.ss]!='T' and gr[cur.ff-1][cur.ss]!='H' and ((vi[cur.ff][cur.ss]-wt)/s+wt)<=(hpath[cur.ff-1][cur.ss]-(vi[cur.ff][cur.ss]-wt)/s-1)){
// cout << (hpath[cur.ff-1][cur.ss]-(vi[cur.ff][cur.ss]-wt)/s-1) << " <- " << cur.ss << "," << cur.ff << " to U: cmx " << vi[cur.ff][cur.ss] << " Dist from bear: " << vi[cur.ff][cur.ss]-wt+1 << ln;
vi[cur.ff-1][cur.ss]=vi[cur.ff][cur.ss]+1;
q.push({cur.ff-1, cur.ss});
}
if (cur.ss>0 and vi[cur.ff][cur.ss-1]==INF and gr[cur.ff][cur.ss-1]!='T' and gr[cur.ff][cur.ss-1]!='H' and ((vi[cur.ff][cur.ss]-wt)/s+wt)<=(hpath[cur.ff][cur.ss-1]-(vi[cur.ff][cur.ss]-wt)/s-1)){
// cout << (hpath[cur.ff][cur.ss-1]-(vi[cur.ff][cur.ss]-wt)/s-1) << " <- " << cur.ss << "," << cur.ff << " to L: cmx " << vi[cur.ff][cur.ss] << " Dist from bear: " << vi[cur.ff][cur.ss]-wt+1 << ln;
vi[cur.ff][cur.ss-1]=vi[cur.ff][cur.ss]+1;
q.push({cur.ff, cur.ss-1});
}
if (cur.ff+1<n and vi[cur.ff+1][cur.ss]==INF and gr[cur.ff+1][cur.ss]!='T' and gr[cur.ff+1][cur.ss]!='H' and ((vi[cur.ff][cur.ss]-wt)/s+wt)<=(hpath[cur.ff+1][cur.ss]-(vi[cur.ff][cur.ss]-wt)/s-1)){
// cout << (hpath[cur.ff+1][cur.ss]-(vi[cur.ff][cur.ss]-wt)/s-1) << " <- " << cur.ss << "," << cur.ff << " to D: cmx " << vi[cur.ff][cur.ss] << " Dist from bear: " << vi[cur.ff][cur.ss]-wt+1 << ln;
vi[cur.ff+1][cur.ss]=vi[cur.ff][cur.ss]+1;
q.push({cur.ff+1, cur.ss});
}
if (cur.ss+1<n and vi[cur.ff][cur.ss+1]==INF and gr[cur.ff][cur.ss+1]!='T' and gr[cur.ff][cur.ss+1]!='H' and ((vi[cur.ff][cur.ss]-wt)/s+wt)<=(hpath[cur.ff][cur.ss+1]-(vi[cur.ff][cur.ss]-wt)/s-1)){
// cout << (hpath[cur.ff][cur.ss+1]-(vi[cur.ff][cur.ss]+1-wt)/s-1) << " <- " << cur.ss << "," << cur.ff << " to R: cmx " << vi[cur.ff][cur.ss] << " Dist from bear: " << vi[cur.ff][cur.ss]-wt+1 << ln;
vi[cur.ff][cur.ss+1]=vi[cur.ff][cur.ss]+1;
q.push({cur.ff, cur.ss+1});
}
}
if (vi[hcor.ff][hcor.ss]<INF) return 1;
else return 0;
};
for (auto hive:hvs){
bfs1(hive);
}
ll l=0, r=n*n+1;
while (l+1<r){
ll mid = (l+r)/2;
if (bfs2(mid)) {
l=mid;
// cout << mid << " with T" << ln;
}
else {
r=mid;
// cout << mid << " with F" << ln;
}
}
if (bfs2(l))cout << l << ln;
else cout << -1 << ln;
}
int main() {
ll t=1;
// cin >> t;
while (t--) solve();
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
| 2 |
Correct |
0 ms |
300 KB |
Output is correct |
| 3 |
Correct |
0 ms |
300 KB |
Output is correct |
| 4 |
Incorrect |
1 ms |
304 KB |
Output isn't correct |
| 5 |
Correct |
0 ms |
212 KB |
Output is correct |
| 6 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
| 7 |
Execution timed out |
1077 ms |
6660 KB |
Time limit exceeded |
| 8 |
Correct |
1 ms |
212 KB |
Output is correct |
| 9 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
| 10 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
| 11 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
| 12 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
| 13 |
Correct |
6 ms |
332 KB |
Output is correct |
| 14 |
Correct |
6 ms |
336 KB |
Output is correct |
| 15 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
| 16 |
Correct |
1 ms |
212 KB |
Output is correct |
| 17 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
| 18 |
Correct |
1 ms |
212 KB |
Output is correct |
| 19 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
| 20 |
Correct |
1 ms |
296 KB |
Output is correct |
| 21 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
| 22 |
Correct |
1 ms |
212 KB |
Output is correct |
| 23 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
| 24 |
Correct |
1 ms |
212 KB |
Output is correct |
| 25 |
Incorrect |
1 ms |
212 KB |
Output isn't correct |
| 26 |
Correct |
1 ms |
340 KB |
Output is correct |
| 27 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
| 28 |
Correct |
1 ms |
340 KB |
Output is correct |
| 29 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
| 30 |
Correct |
1 ms |
340 KB |
Output is correct |
| 31 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
| 32 |
Correct |
1 ms |
340 KB |
Output is correct |
| 33 |
Incorrect |
7 ms |
1532 KB |
Output isn't correct |
| 34 |
Correct |
9 ms |
1548 KB |
Output is correct |
| 35 |
Incorrect |
21 ms |
1492 KB |
Output isn't correct |
| 36 |
Incorrect |
10 ms |
1848 KB |
Output isn't correct |
| 37 |
Correct |
12 ms |
1876 KB |
Output is correct |
| 38 |
Incorrect |
21 ms |
1920 KB |
Output isn't correct |
| 39 |
Incorrect |
17 ms |
2316 KB |
Output isn't correct |
| 40 |
Correct |
15 ms |
2332 KB |
Output is correct |
| 41 |
Incorrect |
27 ms |
2260 KB |
Output isn't correct |
| 42 |
Incorrect |
17 ms |
2868 KB |
Output isn't correct |
| 43 |
Correct |
19 ms |
2784 KB |
Output is correct |
| 44 |
Incorrect |
36 ms |
2724 KB |
Output isn't correct |
| 45 |
Incorrect |
18 ms |
3348 KB |
Output isn't correct |
| 46 |
Correct |
22 ms |
3348 KB |
Output is correct |
| 47 |
Incorrect |
42 ms |
3320 KB |
Output isn't correct |
| 48 |
Incorrect |
23 ms |
3872 KB |
Output isn't correct |
| 49 |
Correct |
26 ms |
3920 KB |
Output is correct |
| 50 |
Incorrect |
52 ms |
3884 KB |
Output isn't correct |
| 51 |
Incorrect |
26 ms |
4500 KB |
Output isn't correct |
| 52 |
Correct |
37 ms |
4576 KB |
Output is correct |
| 53 |
Incorrect |
58 ms |
4488 KB |
Output isn't correct |
| 54 |
Incorrect |
29 ms |
5184 KB |
Output isn't correct |
| 55 |
Correct |
35 ms |
5208 KB |
Output is correct |
| 56 |
Incorrect |
71 ms |
5172 KB |
Output isn't correct |
| 57 |
Incorrect |
35 ms |
5932 KB |
Output isn't correct |
| 58 |
Correct |
41 ms |
5924 KB |
Output is correct |
| 59 |
Incorrect |
102 ms |
5852 KB |
Output isn't correct |
| 60 |
Incorrect |
39 ms |
6684 KB |
Output isn't correct |
| 61 |
Correct |
48 ms |
6680 KB |
Output is correct |
| 62 |
Incorrect |
92 ms |
6652 KB |
Output isn't correct |
| 63 |
Execution timed out |
1091 ms |
6656 KB |
Time limit exceeded |
| 64 |
Execution timed out |
1082 ms |
6732 KB |
Time limit exceeded |
| 65 |
Execution timed out |
1077 ms |
6740 KB |
Time limit exceeded |
| 66 |
Execution timed out |
1074 ms |
6660 KB |
Time limit exceeded |
| 67 |
Execution timed out |
1079 ms |
6696 KB |
Time limit exceeded |
| 68 |
Execution timed out |
1078 ms |
6660 KB |
Time limit exceeded |
| 69 |
Execution timed out |
1085 ms |
6656 KB |
Time limit exceeded |
| 70 |
Execution timed out |
1074 ms |
6780 KB |
Time limit exceeded |
| 71 |
Execution timed out |
1078 ms |
6680 KB |
Time limit exceeded |
| 72 |
Execution timed out |
1083 ms |
6660 KB |
Time limit exceeded |
| 73 |
Execution timed out |
1078 ms |
6736 KB |
Time limit exceeded |
| 74 |
Execution timed out |
1070 ms |
6764 KB |
Time limit exceeded |
| 75 |
Execution timed out |
1077 ms |
6768 KB |
Time limit exceeded |
| 76 |
Execution timed out |
1084 ms |
6724 KB |
Time limit exceeded |
| 77 |
Execution timed out |
1070 ms |
6704 KB |
Time limit exceeded |
| 78 |
Execution timed out |
1038 ms |
6776 KB |
Time limit exceeded |
| 79 |
Execution timed out |
1071 ms |
6836 KB |
Time limit exceeded |
| 80 |
Execution timed out |
1085 ms |
6828 KB |
Time limit exceeded |
| 81 |
Execution timed out |
1062 ms |
6720 KB |
Time limit exceeded |
| 82 |
Execution timed out |
1082 ms |
6684 KB |
Time limit exceeded |
| 83 |
Execution timed out |
1084 ms |
6708 KB |
Time limit exceeded |
| 84 |
Execution timed out |
1083 ms |
6824 KB |
Time limit exceeded |
| 85 |
Execution timed out |
1081 ms |
6676 KB |
Time limit exceeded |
| 86 |
Execution timed out |
1077 ms |
6704 KB |
Time limit exceeded |
| 87 |
Execution timed out |
1080 ms |
6672 KB |
Time limit exceeded |
| 88 |
Execution timed out |
1072 ms |
6612 KB |
Time limit exceeded |
| 89 |
Execution timed out |
1071 ms |
6704 KB |
Time limit exceeded |
| 90 |
Execution timed out |
1078 ms |
6692 KB |
Time limit exceeded |
| 91 |
Execution timed out |
1075 ms |
6716 KB |
Time limit exceeded |
| 92 |
Execution timed out |
1072 ms |
6588 KB |
Time limit exceeded |
