Submission #790953

# Submission time Handle Problem Language Result Execution time Memory
790953 2023-07-23T09:49:21 Z Gray Mecho (IOI09_mecho) C++17
38 / 100
265 ms 11804 KB
// Source: https://usaco.guide/general/io

#include <bits/stdc++.h>
#define ll long long
#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));
	
	//Generate HPATH in O(N^2)
	queue<pair<ll, ll>> q;
	for (auto hive:hvs){
		hpath[hive.ff][hive.ss]=1;
		q.push({hive.ff, hive.ss});
	}
	while (!q.empty()){
		pair<ll, ll> hive = q.front();
		q.pop();
		long long xsh, ysh;
		xsh=1; ysh=0;
		if ((hive.ff+xsh<n and hive.ff+xsh>=0) and hpath[hive.ff+xsh][hive.ss+ysh]==INF and (hive.ss+ysh<n and hive.ss+ysh>=0) and (gr[hive.ff+xsh][hive.ss+ysh]=='G' or gr[hive.ff+xsh][hive.ss+ysh]=='M')){
			q.push({hive.ff+xsh, hive.ss+ysh});
			hpath[hive.ff+xsh][hive.ss+ysh]=hpath[hive.ff][hive.ss]+1;
		}
		xsh=-1, ysh=0;
		if ((hive.ff+xsh<n and hive.ff+xsh>=0) and hpath[hive.ff+xsh][hive.ss+ysh]==INF and (hive.ss+ysh<n and hive.ss+ysh>=0) and (gr[hive.ff+xsh][hive.ss+ysh]=='G' or gr[hive.ff+xsh][hive.ss+ysh]=='M')){
			q.push({hive.ff+xsh, hive.ss+ysh});
			hpath[hive.ff+xsh][hive.ss+ysh]=hpath[hive.ff][hive.ss]+1;
		}
		xsh=0; ysh=1;
		if ((hive.ff+xsh<n and hive.ff+xsh>=0) and hpath[hive.ff+xsh][hive.ss+ysh]==INF and (hive.ss+ysh<n and hive.ss+ysh>=0) and (gr[hive.ff+xsh][hive.ss+ysh]=='G' or gr[hive.ff+xsh][hive.ss+ysh]=='M')){
			q.push({hive.ff+xsh, hive.ss+ysh});
			hpath[hive.ff+xsh][hive.ss+ysh]=hpath[hive.ff][hive.ss]+1;
		}
		xsh=0; ysh=-1;
		if ((hive.ff+xsh<n and hive.ff+xsh>=0) and hpath[hive.ff+xsh][hive.ss+ysh]==INF and (hive.ss+ysh<n and hive.ss+ysh>=0) and (gr[hive.ff+xsh][hive.ss+ysh]=='G' or gr[hive.ff+xsh][hive.ss+ysh]=='M')){
			q.push({hive.ff+xsh, hive.ss+ysh});
			hpath[hive.ff+xsh][hive.ss+ysh]=hpath[hive.ff][hive.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 << "; enters at=" << (ceil((ld)(vi[cur.ff][cur.ss]-wt)/(ld)s)+wt) << "; " << " bee comes in=" << hpath[cur.ff][cur.ss] << 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 (ceil((ld)(vi[cur.ff][cur.ss]-wt+1)/(ld)s)+wt)<(hpath[cur.ff-1][cur.ss])){
				// 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 (ceil((ld)(vi[cur.ff][cur.ss]-wt+1)/(ld)s)+wt)<(hpath[cur.ff][cur.ss-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 (ceil((ld)(vi[cur.ff][cur.ss]-wt+1)/(ld)s)+wt)<(hpath[cur.ff+1][cur.ss])){
				// 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 (ceil((ld)(vi[cur.ff][cur.ss]-wt+1)/(ld)s)+wt)<(hpath[cur.ff][cur.ss+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;
	};
	ll l=-1, 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;
		}
	}
	cout << l << ln;
}

int main() {
	ll t=1; 
	// cin >> t;
	while (t--) solve();
}
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 304 KB Output isn't correct
2 Incorrect 1 ms 212 KB Output isn't correct
3 Incorrect 1 ms 212 KB Output isn't correct
4 Incorrect 1 ms 212 KB Output isn't correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 81 ms 11728 KB Output is correct
8 Incorrect 1 ms 212 KB Output isn't correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 304 KB Output is correct
12 Incorrect 1 ms 340 KB Output isn't correct
13 Incorrect 1 ms 340 KB Output isn't correct
14 Correct 1 ms 340 KB Output is correct
15 Incorrect 1 ms 212 KB Output isn't correct
16 Correct 1 ms 296 KB Output is correct
17 Incorrect 1 ms 212 KB Output isn't correct
18 Correct 0 ms 212 KB Output is correct
19 Incorrect 1 ms 300 KB Output isn't correct
20 Correct 1 ms 212 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 340 KB Output isn't correct
24 Correct 1 ms 340 KB Output is correct
25 Incorrect 1 ms 340 KB Output isn't correct
26 Correct 1 ms 296 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 304 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 10 ms 2492 KB Output isn't correct
34 Correct 9 ms 2496 KB Output is correct
35 Correct 19 ms 2492 KB Output is correct
36 Incorrect 12 ms 3160 KB Output isn't correct
37 Correct 14 ms 3348 KB Output is correct
38 Correct 25 ms 3176 KB Output is correct
39 Incorrect 16 ms 3908 KB Output isn't correct
40 Correct 15 ms 3912 KB Output is correct
41 Correct 34 ms 3924 KB Output is correct
42 Incorrect 19 ms 4788 KB Output isn't correct
43 Correct 19 ms 4808 KB Output is correct
44 Correct 41 ms 4772 KB Output is correct
45 Incorrect 24 ms 5712 KB Output isn't correct
46 Correct 22 ms 5692 KB Output is correct
47 Correct 60 ms 5700 KB Output is correct
48 Incorrect 29 ms 6724 KB Output isn't correct
49 Correct 27 ms 6744 KB Output is correct
50 Correct 57 ms 6716 KB Output is correct
51 Incorrect 39 ms 7844 KB Output isn't correct
52 Correct 33 ms 7804 KB Output is correct
53 Correct 82 ms 7836 KB Output is correct
54 Incorrect 43 ms 9024 KB Output isn't correct
55 Correct 39 ms 9076 KB Output is correct
56 Correct 83 ms 9024 KB Output is correct
57 Incorrect 45 ms 10380 KB Output isn't correct
58 Correct 45 ms 10412 KB Output is correct
59 Correct 119 ms 10280 KB Output is correct
60 Incorrect 50 ms 11768 KB Output isn't correct
61 Correct 47 ms 11712 KB Output is correct
62 Correct 126 ms 11792 KB Output is correct
63 Correct 171 ms 11684 KB Output is correct
64 Correct 265 ms 11688 KB Output is correct
65 Correct 200 ms 11764 KB Output is correct
66 Incorrect 172 ms 11684 KB Output isn't correct
67 Correct 157 ms 11732 KB Output is correct
68 Correct 82 ms 11728 KB Output is correct
69 Correct 70 ms 11732 KB Output is correct
70 Correct 55 ms 11784 KB Output is correct
71 Correct 62 ms 11740 KB Output is correct
72 Incorrect 46 ms 11740 KB Output isn't correct
73 Incorrect 45 ms 11756 KB Output isn't correct
74 Correct 62 ms 11764 KB Output is correct
75 Correct 75 ms 11788 KB Output is correct
76 Correct 66 ms 11752 KB Output is correct
77 Correct 81 ms 11772 KB Output is correct
78 Correct 77 ms 11772 KB Output is correct
79 Correct 60 ms 11804 KB Output is correct
80 Correct 65 ms 11756 KB Output is correct
81 Correct 72 ms 11752 KB Output is correct
82 Correct 70 ms 11760 KB Output is correct
83 Correct 90 ms 11748 KB Output is correct
84 Correct 75 ms 11768 KB Output is correct
85 Correct 95 ms 11756 KB Output is correct
86 Correct 81 ms 11732 KB Output is correct
87 Correct 106 ms 11740 KB Output is correct
88 Correct 105 ms 11712 KB Output is correct
89 Correct 81 ms 11732 KB Output is correct
90 Correct 111 ms 11724 KB Output is correct
91 Correct 90 ms 11740 KB Output is correct
92 Correct 92 ms 11744 KB Output is correct