Problem 1 Reflection
USACO Bronze
Key Idea
Solution implementation
Solution
#include <bits/stdc++.h>
using namespace std;
//author: von_Braun
#define ll long long
#define lli long long int
#define pb push_back
#define rep(var, start, num) for(ulli var = start; var <start + num; var++)
#define all(x) x.begin(), x.end()
#define ulli unsigned long long int
#define ull unsigned long long
bool sortbysec(const pair<ll,ll> &a,const pair<ll,ll> &b) { return (a.second < b.second); }
int getnumchanges(int i, int j, vector<vector<char>> &arr) {
int n = arr.size();
//assume i & j < n/2
if (i>=n/2) {i = n-1-i;}
if (j>=n/2) {j = n-1-j;}
map<char,int> mp;
mp[arr[i][j]]++;
mp[arr[n-1-i][n-1-j]]++;
mp[arr[i][n-1-j]]++;
mp[arr[n-1-i][j]]++;
return min({mp['.'], mp['#']});
}
void togglearr(int i, int j, vector<vector<char>> &arr) {
if (arr[i][j]=='.') {arr[i][j]='#';} else {arr[i][j]='.';}
}
void solve() {
int n,m;
cin>>n>>m;
vector<vector<char>> arr(n, vector<char>(n));
int bruh=0;
rep(i,0,n) {
rep(j,0,n) {
cin>>arr[i][j];
// if (i<n/2 && j<n/2) {bruh+=getnumchanges(i,j,arr);}
}
}
rep(i,0,n/2) {
rep(j,0,n/2) {{bruh+=getnumchanges(i,j,arr);}}
}
cout<<bruh<<endl;
int a,b;
rep(i,0,m) {
cin>>a>>b;
bruh-=getnumchanges(a-1, b-1, arr);
togglearr(a-1, b-1, arr);
bruh+=getnumchanges(a-1, b-1, arr);
cout<<bruh<<endl;
}
}
int main() {
//add quotes incase input output file
//freopen(input.txt,r,stdin);
//freopen(output.txt,w,stdout);
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tc = 1;
// cin >> tc;
for (int t = 1; t <= tc; t++) {
solve();
}
}