#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define ALL(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng(1);
ll rngesus(ll l, ll r){return ((ull) rng()) % (r - l + 1) + l;}
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll LASTBIT(ll mask){return mask & (-mask);}
ll pop_cnt(ll mask){return __builtin_popcountll(mask);}
ll ctz(ll mask){return __builtin_ctzll(mask);}
ll clz(ll mask){return __builtin_clzll(mask);}
ll logOf(ll mask){return 63 - clz(mask);}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b){a = b; return true;}
return false;
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b){a = b; return true;}
return false;
}
template <class T>
void printArr(T& a, string separator = " ", string finish = "\n", ostream& out = cout){
for(auto i: a) out << i << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
int dx[] = {1, 0, -1, 0};
int dy[] = {0, 1, 0, -1};
const int N = 505, K = 9, INF = 1e9 + 69;
enum GridObj{none=0, obstacle=1, anti_clockwise=2, clockwise=3};
int n, w, h;
int dp[K][K][N][N];
GridObj grid[N][N];
pair<short, short> graph[N][N][4];
int num[N][N][4];
void dfs(short i, short j, short x){
array<short, 3> u = {{i, j, x}};
if (num[u[0]][u[1]][u[2]] == 1) {
graph[u[0]][u[1]][u[2]] = {-1, -1};
return;
}
num[u[0]][u[1]][u[2]] = 1;
array<short, 3> v = {{u[0] + dx[u[2]], u[1]+ dy[u[2]], u[2]}};
if (grid[v[0]][v[1]] == anti_clockwise) v[2] = (v[2] + 1) % 4;
else if (grid[v[0]][v[1]] == clockwise) v[2] = (v[2] + 3) % 4;
if (grid[v[0]][v[1]] == obstacle){
graph[u[0]][u[1]][u[2]] = {u[0], u[1]};
}
else {
dfs(v[0], v[1], v[2]);
graph[u[0]][u[1]][u[2]] = graph[v[0]][v[1]][v[2]];
}
num[u[0]][u[1]][u[2]] = 2;
}
pair<int, int> pos[K];
bool visited[N][N];
vector<pair<short, short>> q[N * N];
void dijkstra(int l, int r){
memset(visited, 0, sizeof visited);
int cnt = 0;
if (l < r){
for(int mid = l; mid < r; ++mid){
for(int i = 1; i<=w; ++i) for(int j = 1;j <=h; ++j)
minimize(dp[l][r-l][i][j], dp[l][mid-l][i][j] + dp[mid+ 1][r-mid-1][i][j]);
}
}
for(short i = 1; i<=w; ++i) for(short j = 1;j <=h; ++j) if (dp[l][r-l][i][j] < INF) {
q[dp[l][r-l][i][j]].push_back({i, j});
cnt++;
}
for(int distance = 0; cnt > 0; ++distance){
while(q[distance].size()){
pair<short, short> u = q[distance].back(); q[distance].pop_back();
cnt--;
// cout << distance << " "; printArr(u); cout.flush();
if (visited[u.first][u.second]) continue;
visited[u.first][u.second] = true;
for(int x= 0; x < 4; ++x){
pair<short, short> v = graph[u.first][u.second][x];
if (v.first != -1) {
if (minimize(dp[l][r-l][v.first][v.second], distance + 1)) {
q[distance + 1].push_back(v);
cnt++;
}
}
}
}
}
// for(int i = 1; i<=w; ++i) {
// for(int j = 1; j<=h; ++j) cout << dp[l][r-l][i][j] << " ";
// cout << "\n";
// }
// cout << "\n";
}
int main(void){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> w >> h;
swap(w, h);
if (n == 1){
cout << 0 << "\n";
return 0;
}
for(int i = 0; i<=w+1; ++i)
for(int j = 0; j<=h+1; ++j) grid[i][j] = obstacle;
for(int i = 0; i<w; ++i){
string s; cin >> s;
for(int j = 0; j<h; ++j){
if (s[j] == '.') grid[i+1][j+1]=none;
else if (s[j] == 'x') grid[i+1][j+1] = obstacle;
else if (s[j] == 'A') grid[i+1][j+1] = anti_clockwise;
else if (s[j] == 'C') grid[i+1][j+1] = clockwise;
else {
grid[i+1][j+1]=none;
pos[s[j] - '0' - 1] = {i + 1, j + 1};
}
}
}
for(int i = 1; i<=w; ++i) for(int j = 1; j<=h; ++j) if (grid[i][j] != obstacle){
for(int x = 0; x < 4; ++x) if (!num[i][j][x]){
dfs(i, j, x);
}
}
memset(dp, 63, sizeof dp);
for(int i = 0; i<n; ++i){
dp[i][0][pos[i].first][pos[i].second] = 0;
}
for(int i = n-1; i>=0; --i)
for(int j = i; j<n; ++j){
dijkstra(i, j);
}
int ans = INF;
for(int i = 1; i<=w; ++i) for(int j = 1; j<=w; ++j)
minimize(ans, dp[0][n-1][i][j]);
if (ans == INF) ans = -1;
cout << ans << "\n";
return 0;
}
Compilation message
robots.cpp: In function 'void dfs(short int, short int, short int)':
robots.cpp:70:32: warning: narrowing conversion of '(((int)u.std::array<short int, 3>::operator[](0)) + dx[((int)u.std::array<short int, 3>::operator[](2))])' from 'int' to 'short int' [-Wnarrowing]
70 | array<short, 3> v = {{u[0] + dx[u[2]], u[1]+ dy[u[2]], u[2]}};
robots.cpp:70:48: warning: narrowing conversion of '(((int)u.std::array<short int, 3>::operator[](1)) + dy[((int)u.std::array<short int, 3>::operator[](2))])' from 'int' to 'short int' [-Wnarrowing]
70 | array<short, 3> v = {{u[0] + dx[u[2]], u[1]+ dy[u[2]], u[2]}};
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
43 ms |
92240 KB |
Output is correct |
2 |
Correct |
13 ms |
92252 KB |
Output is correct |
3 |
Correct |
12 ms |
92372 KB |
Output is correct |
4 |
Correct |
15 ms |
92252 KB |
Output is correct |
5 |
Correct |
14 ms |
92252 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
43 ms |
92240 KB |
Output is correct |
2 |
Correct |
13 ms |
92252 KB |
Output is correct |
3 |
Correct |
12 ms |
92372 KB |
Output is correct |
4 |
Correct |
15 ms |
92252 KB |
Output is correct |
5 |
Correct |
14 ms |
92252 KB |
Output is correct |
6 |
Correct |
13 ms |
92248 KB |
Output is correct |
7 |
Correct |
13 ms |
92252 KB |
Output is correct |
8 |
Correct |
14 ms |
92416 KB |
Output is correct |
9 |
Correct |
13 ms |
92348 KB |
Output is correct |
10 |
Correct |
14 ms |
92308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
43 ms |
92240 KB |
Output is correct |
2 |
Correct |
13 ms |
92252 KB |
Output is correct |
3 |
Correct |
12 ms |
92372 KB |
Output is correct |
4 |
Correct |
15 ms |
92252 KB |
Output is correct |
5 |
Correct |
14 ms |
92252 KB |
Output is correct |
6 |
Correct |
13 ms |
92248 KB |
Output is correct |
7 |
Correct |
13 ms |
92252 KB |
Output is correct |
8 |
Correct |
14 ms |
92416 KB |
Output is correct |
9 |
Correct |
13 ms |
92348 KB |
Output is correct |
10 |
Correct |
14 ms |
92308 KB |
Output is correct |
11 |
Correct |
52 ms |
98908 KB |
Output is correct |
12 |
Correct |
1 ms |
6748 KB |
Output is correct |
13 |
Correct |
93 ms |
95052 KB |
Output is correct |
14 |
Correct |
82 ms |
101236 KB |
Output is correct |
15 |
Correct |
44 ms |
97128 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
43 ms |
92240 KB |
Output is correct |
2 |
Correct |
13 ms |
92252 KB |
Output is correct |
3 |
Correct |
12 ms |
92372 KB |
Output is correct |
4 |
Correct |
15 ms |
92252 KB |
Output is correct |
5 |
Correct |
14 ms |
92252 KB |
Output is correct |
6 |
Correct |
13 ms |
92248 KB |
Output is correct |
7 |
Correct |
13 ms |
92252 KB |
Output is correct |
8 |
Correct |
14 ms |
92416 KB |
Output is correct |
9 |
Correct |
13 ms |
92348 KB |
Output is correct |
10 |
Correct |
14 ms |
92308 KB |
Output is correct |
11 |
Correct |
52 ms |
98908 KB |
Output is correct |
12 |
Correct |
1 ms |
6748 KB |
Output is correct |
13 |
Correct |
93 ms |
95052 KB |
Output is correct |
14 |
Correct |
82 ms |
101236 KB |
Output is correct |
15 |
Correct |
44 ms |
97128 KB |
Output is correct |
16 |
Correct |
485 ms |
96672 KB |
Output is correct |
17 |
Correct |
202 ms |
113748 KB |
Output is correct |
18 |
Correct |
66 ms |
99664 KB |
Output is correct |
19 |
Correct |
384 ms |
96812 KB |
Output is correct |
20 |
Correct |
132 ms |
105168 KB |
Output is correct |