Submission #710994

# Submission time Handle Problem Language Result Execution time Memory
710994 2023-03-16T06:58:00 Z tgp072 Mecho (IOI09_mecho) C++14
100 / 100
240 ms 10444 KB
#include <iostream>
#include <fstream>
#include <algorithm>
#include <vector>
#include <stack>
#include <queue>
#include <math.h>
#include <set>
#include <unordered_set>
#include <map>
#include <string>
#include <tuple>
#include <numeric>
#include <climits>
#include <bitset>
#include <iomanip>
#include <random>
#include <ctime>
using namespace std;

typedef long long ll;

const ll INF = 1e14;
const ll MOD = 1e9 + 7;
const ll MAXN = 2e5 + 1;

ll fact[MAXN];
void precompute()
{
   fact[0] = 1;
   for (ll i = 1; i < MAXN; i++) {
       fact[i] = (i * fact[i - 1]) % MOD;
   }
}

ll powmod(ll a, ll b){
    a %= MOD;
    if (a == 0) return 0;
    ll product = 1;
    while(b > 0){
        if (b&1){    // you can also use b % 2 == 1
            product *= a;
            product %= MOD;
            --b;
        }
        a *= a;
        a %= MOD;
        b /= 2;    // you can also use b >> 1
    }
    return product;
}

ll max(ll a, ll b) {
    if (a > b) {
        return a;
    } else {
        return b;
    }
}

ll min(ll a, ll b) {
    if (a < b) {
        return a;
    } else {
        return b;
    }
}

//calculates the inverse of a number mod MOD
ll inv(ll a) {
    return powmod(a, MOD - 2);
}

struct State{
    ll cr, cc, cd;
};

ll dr[4] = {0, 1, 0, -1};
ll dc[4] = {1, 0, -1, 0};

void solve(ll ca) {
    ll n, s;
    cin >> n >> s;
    
    char grid[n][n];
    pair<ll, ll> sc;
    for (ll i = 0; i < n; i++) {
        for (ll j = 0; j < n; j++) {
            cin >> grid[i][j];
            if (grid[i][j] == 'M') {
                sc = {i, j};
            }
        }
    }
    
    ll dist[n][n];
    for (ll i = 0; i < n; i++) {
        for (ll j = 0; j < n; j++) {
            dist[i][j] = INF;
        }
    }
    
    queue<State> q;
    for (ll i = 0; i < n; i++) {
        for (ll j = 0; j < n; j++) {
            if (grid[i][j] == 'H') {
                q.push({i, j, 0});
            }
        }
    }
    
    while (!q.empty()) {
        State cur = q.front();
        q.pop();
        
        if (dist[cur.cr][cur.cc] <= cur.cd) {
            continue;
        }
        
        dist[cur.cr][cur.cc] = cur.cd;
        
        for (ll k = 0; k < 4; k++) {
            ll nr = cur.cr + dr[k];
            ll nc = cur.cc + dc[k];
            if (nr >= 0 && nr < n && nc >= 0 && nc < n && grid[nr][nc] != 'T' && grid[nr][nc] != 'D' && grid[nr][nc] != 'H') {
                q.push({nr, nc, cur.cd+1});
            }
        }
    }
    /*
    for (ll i = 0; i < n; i++) {
        for (ll j = 0; j < n; j++) {
            if (dist[i][j] == INF) {
                cout << -1 << " ";
                continue;
            }
            cout << dist[i][j] << " ";
        }
        cout << endl;
    }*/
    
    ll lo = 0; ll hi = INF;
    lo--;
    while (lo < hi) {
        ll mid = lo + (hi - lo + 1)/2;
        //mid = 2;
        bool works = false;
        
        bool visited[n][n];
        for (ll i = 0; i < n; i++) {
            for (ll j = 0; j < n; j++) {
                visited[i][j] = false;
            }
        }
        
        queue<State> q2;
        q2.push({sc.first, sc.second, s*mid});
        
        while (!q2.empty()) {
            State cur = q2.front();
            q2.pop();
            
           /*if (cur.cr == 3 && cur.cc == 6) {
                cout << "I AM HERE" << endl;
            }*/
            if (grid[cur.cr][cur.cc] == 'D') {
                works = true;
                break;
            }
            
            /*if (cur.cr == 3 && cur.cc == 6) {
                cout << "I AM HERE" << endl;
            }*/
            
            ll nummin = cur.cd/s;
            if (nummin >= dist[cur.cr][cur.cc]) {
                continue;
            }
            
            if (visited[cur.cr][cur.cc]) {
                continue;
            }
            
            //cout << cur.cr << " " << cur.cc << endl;
            
            visited[cur.cr][cur.cc] = true;
            
            for (ll k = 0; k < 4; k++) {
                ll nr = cur.cr + dr[k];
                ll nc = cur.cc + dc[k];
                if (nr >= 0 && nr < n && nc >= 0 && nc < n && grid[nr][nc] != 'T') {
                    q2.push({nr, nc, cur.cd+1});
                }
            }
        }
        
        if (works) {
            lo = mid;
        } else {
            hi = mid - 1;
        }
        
        /*cout << works << endl;
        return;*/
    }
    
    cout << lo << endl;
}

int main() {
    mt19937 rng(0);
    // Fast IO
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
/*
    freopen("gravity.in", "r", stdin);
    freopen("gravity.out", "w", stdout);
    */
    ll t = 1;
    //cin >> t;
    
    ll co = 0;
    while (t--) {
        solve(co);
        co++;
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 208 ms 8392 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 324 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 328 KB Output is correct
31 Correct 1 ms 328 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 5 ms 1620 KB Output is correct
34 Correct 6 ms 1620 KB Output is correct
35 Correct 38 ms 1620 KB Output is correct
36 Correct 7 ms 2004 KB Output is correct
37 Correct 7 ms 2004 KB Output is correct
38 Correct 57 ms 2112 KB Output is correct
39 Correct 7 ms 2388 KB Output is correct
40 Correct 8 ms 2380 KB Output is correct
41 Correct 64 ms 2516 KB Output is correct
42 Correct 9 ms 2896 KB Output is correct
43 Correct 10 ms 3020 KB Output is correct
44 Correct 80 ms 3028 KB Output is correct
45 Correct 11 ms 3540 KB Output is correct
46 Correct 11 ms 3540 KB Output is correct
47 Correct 107 ms 3612 KB Output is correct
48 Correct 12 ms 4180 KB Output is correct
49 Correct 14 ms 4104 KB Output is correct
50 Correct 116 ms 4156 KB Output is correct
51 Correct 15 ms 4840 KB Output is correct
52 Correct 16 ms 4864 KB Output is correct
53 Correct 134 ms 4872 KB Output is correct
54 Correct 18 ms 5588 KB Output is correct
55 Correct 19 ms 5496 KB Output is correct
56 Correct 170 ms 5684 KB Output is correct
57 Correct 20 ms 6348 KB Output is correct
58 Correct 20 ms 6356 KB Output is correct
59 Correct 207 ms 6524 KB Output is correct
60 Correct 22 ms 7072 KB Output is correct
61 Correct 25 ms 7088 KB Output is correct
62 Correct 240 ms 7388 KB Output is correct
63 Correct 122 ms 7216 KB Output is correct
64 Correct 220 ms 7116 KB Output is correct
65 Correct 237 ms 7224 KB Output is correct
66 Correct 170 ms 7116 KB Output is correct
67 Correct 143 ms 7112 KB Output is correct
68 Correct 59 ms 7372 KB Output is correct
69 Correct 54 ms 7264 KB Output is correct
70 Correct 52 ms 7500 KB Output is correct
71 Correct 46 ms 7376 KB Output is correct
72 Correct 39 ms 7372 KB Output is correct
73 Correct 75 ms 10372 KB Output is correct
74 Correct 130 ms 10440 KB Output is correct
75 Correct 147 ms 10384 KB Output is correct
76 Correct 155 ms 10144 KB Output is correct
77 Correct 149 ms 10444 KB Output is correct
78 Correct 168 ms 9844 KB Output is correct
79 Correct 151 ms 10316 KB Output is correct
80 Correct 129 ms 10060 KB Output is correct
81 Correct 150 ms 10040 KB Output is correct
82 Correct 143 ms 10272 KB Output is correct
83 Correct 172 ms 9672 KB Output is correct
84 Correct 149 ms 9356 KB Output is correct
85 Correct 152 ms 9056 KB Output is correct
86 Correct 170 ms 9064 KB Output is correct
87 Correct 155 ms 9476 KB Output is correct
88 Correct 170 ms 9012 KB Output is correct
89 Correct 190 ms 9112 KB Output is correct
90 Correct 179 ms 8996 KB Output is correct
91 Correct 169 ms 8676 KB Output is correct
92 Correct 168 ms 8992 KB Output is correct