#define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define IOS ios::sync_with_stdio(false); cin.tie(0); #define FOR(i, s, n) for(int i = (s), i##_len=(n); i < i##_len; ++i) #define FORS(i, s, n) for(int i = (s), i##_len=(n); i <= i##_len; ++i) #define VFOR(i, s, n) for(int i = (s); i < (n); ++i) #define VFORS(i, s, n) for(int i = (s); i <= (n); ++i) #define REP(i, n) FOR(i, 0, n) #define REPS(i, n) FORS(i, 0, n) #define VREP(i, n) VFOR(i, 0, n) #define VREPS(i, n) VFORS(i, 0, n) #define RFOR(i, s, n) for(int i = (s), i##_len=(n); i >= i##_len; --i) #define RFORS(i, s, n) for(int i = (s), i##_len=(n); i > i##_len; --i) #define RREP(i, n) RFOR(i, n, 0) #define RREPS(i, n) RFORS(i, n, 0) #define ALL(v) (v).begin(), (v).end() #define SORT(v) sort(ALL(v)) #define RSORT(v) sort(ALL(v), greater()) #define SZ(x) ((int)(x).size()) #define REV(x) reverse(ALL(x)) #define PB push_back #define EB emplace_back #define MP make_pair #define MT make_tuple #define BIT(n) (1LL<<(n)) #define UNIQUE(v) v.erase(unique(ALL(v)), v.end()) using ld = long double; using ll = long long; using ui = unsigned int; using ull = unsigned long long; using Pi_i = pair; using Pll_ll = pair; using VB = vector; using VC = vector; using VD = vector; using VI = vector; using VLL = vector; using VS = vector; using VSH = vector; using VULL = vector; const int MOD = 1000000007; const int INF = 1000000000; const int NIL = -1; const double EPS = 1E-10; template bool chmax(T &a, const S &b){ if(a < b){ a = b; return true; } return false; } template bool chmin(T &a, const S &b){ if(b < a){ a = b; return true; } return false; } inline int grayCode(int i){ return i ^ (i >> 1); } inline int invGrayCode(int j){ for(int k = 0; k < 5; ++k){// 2pow(5) = 32 j = j ^ (j >> (1< twoPow{{1, 0}, {2, 1}, {4, 2}, {8, 3}, {16, 4}, {32, 5}, {64, 6}, {128, 7}, {256, 8}, {512, 9}, {1024, 10}, {2048, 11}, {4096, 12}, {8192, 13}, {16384, 14}, {32768, 15}, {65536, 16}, {131072, 17}, {262144, 18}, {524288, 19}}; vector notMatch; VI score; int N; int bitSearch(){ int n = notMatch.size(); if(!n){ int sc = score[0]; SORT(score); UNIQUE(score); REV(score); REP(i, score.size()){ if(score[i] == sc) return i + 1; } } int ans = 6, prvj = 0; VI sc; REP(i, n) ++score[notMatch[i].second]; REP(i, N) sc.PB(score[i]); SORT(sc); UNIQUE(sc); REV(sc); REP(i, sc.size()){ if(sc[i] == score[0]) ans = i + 1; } FOR(i, 1, (1 << n)){ sc.clear(); int j = grayCode(i); int changebit = j ^ prvj; int cb = twoPow[changebit]; if(j & changebit){// changeBit が立った ++score[notMatch[cb].first]; --score[notMatch[cb].second]; }else{// changeBit がなくなった --score[notMatch[cb].first]; ++score[notMatch[cb].second]; } REP(i, N) sc.PB(score[i]); SORT(sc); UNIQUE(sc); REV(sc); REP(i, sc.size()){ if(sc[i] == score[0]) chmin(ans, i+1); } prvj = j; } return ans; } int main(){ cin >> N; score.resize(N, 0); string s; REP(i, N){ cin >> s; FOR(j, i+1, N){ if(s[j] == 'o') ++score[i]; else if(s[j] == 'x') ++score[j]; else notMatch.PB({i, j}); } } cout << bitSearch() << endl; return 0; }