結果
| 問題 | No.1284 Flip Game |
| ユーザー |
 re_re0101
|
| 提出日時 | 2021-03-21 18:20:51 |
| 言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 1,166 ms / 2,000 ms |
| コード長 | 22,691 bytes |
| コンパイル時間 | 2,386 ms |
| コンパイル使用メモリ | 199,344 KB |
| 実行使用メモリ | 498,856 KB |
| 最終ジャッジ日時 | 2024-05-02 02:38:53 |
| 合計ジャッジ時間 | 11,716 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge4 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 2 ms
5,248 KB |
| testcase_01 | AC | 2 ms
5,376 KB |
| testcase_02 | AC | 13 ms
8,832 KB |
| testcase_03 | AC | 2 ms
5,376 KB |
| testcase_04 | AC | 2 ms
5,376 KB |
| testcase_05 | AC | 2 ms
5,376 KB |
| testcase_06 | AC | 2 ms
5,376 KB |
| testcase_07 | AC | 2 ms
5,376 KB |
| testcase_08 | AC | 2 ms
5,376 KB |
| testcase_09 | AC | 2 ms
5,376 KB |
| testcase_10 | AC | 2 ms
5,376 KB |
| testcase_11 | AC | 4 ms
5,376 KB |
| testcase_12 | AC | 4 ms
5,376 KB |
| testcase_13 | AC | 13 ms
8,704 KB |
| testcase_14 | AC | 13 ms
8,704 KB |
| testcase_15 | AC | 54 ms
27,392 KB |
| testcase_16 | AC | 52 ms
27,520 KB |
| testcase_17 | AC | 243 ms
114,816 KB |
| testcase_18 | AC | 243 ms
114,816 KB |
| testcase_19 | AC | 1,129 ms
498,816 KB |
| testcase_20 | AC | 243 ms
114,688 KB |
| testcase_21 | AC | 244 ms
114,816 KB |
| testcase_22 | AC | 244 ms
114,816 KB |
| testcase_23 | AC | 1,166 ms
498,856 KB |
| testcase_24 | AC | 1,139 ms
498,736 KB |
| testcase_25 | AC | 1,128 ms
498,808 KB |
| testcase_26 | AC | 1,139 ms
498,712 KB |
| testcase_27 | AC | 1,146 ms
498,844 KB |
ソースコード
// #pragma GCC optimize ("O3")
// #pragma GCC target("avx512f")
// #pragma GCC optimize("unroll-loops")
#ifndef ONLINE_JUDGE
#define _GLIBCXX_DEBUG
#endif
#include<bits/stdc++.h>
// #include<atcoder/all>
using namespace std;
#define rep(i, n) for (ll i = 0; i < (ll)(n); i++)
#define bit(n,k) (((ll)n>>(ll)k)&1) /*nのk bit目*/
#define pb push_back
#define pf push_front
#define fi first
#define se second
#define eb emplace_back
#define endl '\n'
#define SZ(x) ((int)(x).size())
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define debug(v) cout<<#v<<":";for(auto x:v){cout<<x<<' ';}cout<<endl;
#define PI 3.14159265359
const double eps = 1e-12;
const long long INF= (long long)1e18+20;
const int inf= 101010101;
typedef double D; // 座標値の型。doubleかlong doubleを想定
typedef complex<D> Point; // Point
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vl>vvl;
typedef vector<vvl>vvvl;
typedef vector<vvvl>vvvvl;
typedef vector<vvvvl>vvvvvl;
typedef vector<int>vi;
typedef vector<vi>vvi;
typedef vector<vvi>vvvi;
typedef vector<vvvi>vvvvi;
typedef vector<vvvvi>vvvvvi;
typedef pair<ll,ll> P;
typedef tuple<ll,ll,ll> T;
typedef double D;
template<class T> using minpq=priority_queue<T,vector<T>,greater<T>>;
const ll MOD=1000000007LL;
// const ll MOD=998244353LL;
const ll mod=MOD;
string abc="abcdefghijklmnopqrstuvwxyz";
string ABC="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
vl dx={0,0,1,-1,1,1,-1,-1};
vl dy={1,-1,0,0,-1,1,-1,1};
template<class T> vector<T> make_vec(size_t a) { return vector<T>(a); }
template<class T, class... Ts> auto make_vec(size_t a, Ts... ts) {
return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}
template<class T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<class T>bool chmin(T &a,const T &b){if(b<a){a=b;return true;}return false;}
//素因数分解O(√n)
map<ll,ll>prime_factor(ll n){
map<ll,ll>res;
for(ll i=2;i*i<=n;i++){
while(n%i==0){
res[i]++;
n/=i;
}
}
if(n!=1)res[n]=1;
return res;
}
const ll MAX = 5000010;
long long fac[MAX], finv[MAX], inv[MAX];
//finvが階乗の逆元
// テーブルを作る前処理
void COMinit() {
fac[0] = fac[1] = 1;
finv[0] = finv[1] = 1;
inv[1] = 1;
for (ll i = 2; i < MAX; i++){
fac[i] = fac[i - 1] * i % MOD;
inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
finv[i] = finv[i - 1] * inv[i] % MOD;
}
}
// 二項係数計算
long long COM(ll n, ll k){
if (n < k) return 0;
if (n < 0 || k < 0) return 0;
return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}
ll modpow(ll a, ll n,ll mod=MOD) {
ll res = 1;
while (n > 0) {
if (n & 1) res = res * a % mod;
a = a * a % mod;
n >>= 1;
}
return res;
}
/*Eratosthenes()
ll N=2000010;
vl arr(N);
void Eratosthenes(){
for(ll i = 0; i < N; i++){
arr[i] = 1;
}
arr[1]=0;
for(ll i = 2; i < sqrt(N); i++){
if(arr[i]){
for(ll j = 0; i * (j + 2) < N; j++){
arr[i *(j + 2)] = 0;
}
}
}
}*/
//素数判定O(√n)
bool is_prime(ll n){
for(ll i=2;i*i<=n;i++){
if(n%i==0)return false;
}
return n!=1;
}
//約数の列挙O(√n)
vector<ll>divisor(ll n){
vector<ll>res;
for(ll i=1;i*i<=n;i++){
if(n%i==0){
res.push_back(i);
if(i != n/i) res.push_back(n/i);
}
}
return res;
}
/* Trie 木： 文字の種類(char_size)、int型で0に対応する文字(base)
insert(word): 単語 word を Trie 木に挿入する
search(word): 単語 word が Trie 木にあるか判定する
start_with(prefix): prefix が一致する単語が Trie 木にあるか判定する
count(): 挿入した単語の数を返す
size(): Trie 木の頂点数を返す
計算量：insert, search ともに O(M)（Mは単語の長さ）
*/
template <int char_size, int base>
struct Trie {
struct Node { // 頂点を表す構造体
vector<int> next; // 子の頂点番号を格納。存在しなければ-1
vector<int> accept; // 末端がこの頂点になる単語の word_id を保存
int c; // base からの間隔をint型で表現したもの
int common; // いくつの単語がこの頂点を共有しているか
Node(int c_) : c(c_), common(0) {
next.assign(char_size, -1);
}
};
vector<Node> nodes; // trie 木本体
int root;
Trie() : root(0) {
nodes.push_back(Node(root));
}
// 単語の挿入
void insert(const string &word, int word_id) {
int node_id = 0;
for (int i = 0; i < (int)word.size(); i++) {
int c = (int)(word[i] - base);
int &next_id = nodes[node_id].next[c];
if (next_id == -1) { // 次の頂点が存在しなければ追加
next_id = (int)nodes.size();
nodes.push_back(Node(c));
}
++nodes[node_id].common;
node_id = next_id;
}
++nodes[node_id].common;
nodes[node_id].accept.push_back(word_id);
}
void insert(const string &word) {
insert(word, nodes[0].common);
}
// 単語とprefixの検索
bool search(const string &word, bool prefix = false) {
int node_id = 0;
for (int i = 0; i < (int)word.size(); i++) {
int c = (int)(word[i] - base);
int &next_id = nodes[node_id].next[c];
if (next_id == -1) { // 次の頂点が存在しなければ終了
return false;
}
node_id = next_id;
}
return (prefix) ? true : nodes[node_id].accept.size() > 0;
}
// prefix を持つ単語が存在するかの検索
bool start_with(const string &prefix) {
return search(prefix, true);
}
// 挿入した単語の数
int count() const {
return (nodes[0].common);
}
// Trie木のノード数
int size() const {
return ((int)nodes.size());
}
};
// //Lowest Common Ancestor
// struct Edge{
// int to;
// Edge(int to):to(to){}
// };
// using Graph = vector<vector<Edge>>;
// class lca {
// public:
// const int n = 0;
// const int log2_n = 0;
// vector<vector<int>> parent;
// vector<int> depth;
// lca() {}
// //g:グラフ root:根
// lca(const Graph &g, int root)
// : n(g.size()), log2_n(log2(n) + 1), parent(log2_n, vector<int>(n)), depth(n) {
// dfs(g, root, -1, 0);
// for (int k = 0; k + 1 < log2_n; k++) {
// for (int v = 0; v < (int)g.size(); v++) {
// if (parent[k][v] < 0)
// parent[k + 1][v] = -1;
// else
// parent[k + 1][v] = parent[k][parent[k][v]];
// }
// }
// }
// void dfs(const Graph &g, int v, int p, int d) {
// parent[0][v] = p;
// depth[v] = d;
// for (auto &e : g[v]) {
// if (e.to != p) dfs(g, e.to, v, d + 1);
// }
// }
// //uとvのlcaを取得
// int get(int u, int v) {
// if (depth[u] > depth[v]) swap(u, v);
// for (int k = 0; k < log2_n; k++) {
// if ((depth[v] - depth[u]) >> k & 1) {
// v = parent[k][v];
// }
// }
// if (u == v) return u;
// for (int k = log2_n - 1; k >= 0; k--) {
// if (parent[k][u] != parent[k][v]) {
// u = parent[k][u];
// v = parent[k][v];
// }
// }
// return parent[0][u];
// }
// int dep(int i) {
// return depth[i];
// }
// int dist(int u,int v){
// return depth[u]+depth[v]-depth[get(u,v)]*2;
// }
// };
// union by size + path having
class UnionFind {
public:
vector <ll> par; // 各元の親を表す配列
vector <ll> siz; // 素集合のサイズを表す配列(1 で初期化)
// Constructor
UnionFind(ll sz_): par(sz_), siz(sz_, 1LL) {
for (ll i = 0; i < sz_; ++i) par[i] = i; // 初期では親は自分自身
}
void init(ll sz_) {
par.resize(sz_);
siz.assign(sz_, 1LL); // resize だとなぜか初期化されなかった
for (ll i = 0; i < sz_; ++i) par[i] = i; // 初期では親は自分自身
}
// Member Function
// Find
ll root(ll x) { // 根の検索
while (par[x] != x) {
x = par[x] = par[par[x]]; // x の親の親を x の親とする
}
return x;
}
// Union(Unite, Merge)
bool merge(ll x, ll y) {
x = root(x);
y = root(y);
if (x == y) return false;
// merge technique（データ構造をマージするテク．小を大にくっつける）
if (siz[x] < siz[y]) swap(x, y);
siz[x] += siz[y];
par[y] = x;
return true;
}
bool issame(ll x, ll y) { // 連結判定
return root(x) == root(y);
}
ll size(ll x) { // 素集合のサイズ
return siz[root(x)];
}
};
// 0-indexed parmutation only
vvl cycle_partition(const vl &p){
ll n=p.size();
vvl ret;
vector<bool> check(n,false);
rep(i,n)if(!check[p[i]]){
vl v;
ll pos=p[i];
v.pb(i);
check[i]=true;
while(pos!=i){
v.pb(pos);
check[pos]=true;
pos=p[pos];
}
ret.pb(v);
}
return ret;
}
vl Z_algorithm(vl s){
ll c=0,n=s.size();
vl Z(n,0);
for(ll i=1;i<n;i++){
ll l=i-c;
if(i+Z[l]<c+Z[c]){
Z[i]=Z[l];
}else{
ll j=max(0LL,c+Z[c]-i);
while(i+j<n && s[j]==s[i+j])j++;
Z[i]=j;
c=i;
}
}
Z[0]=n;
return Z;
}
//Manachar 修理中
// vl Manachar(string S){
// ll c=0,n=S.size();
// vl R(n,1);
// for(ll i=0;i<n;i++){
// ll l=c-(i-c);
// if(i+R[l]<c+R[c]){
// R[i]=R[l];
// }else{
// ll j=c+R[c]-i;
// while(i-j>=0 && i+j<n && S[i-j] == S[i+j])j++;
// R[i]=j;
// c=i;
// }
// }
// return R;
// }
template <typename T>
T pow(T a, long long n, T e = 1) {
T ret = e;
while (n) {
if (n & 1) ret *= a;
a *= a;
n >>= 1;
}
return ret;
}
template <int mod>
struct ModInt {
int x;
ModInt() : x(0) {}
ModInt(long long x_) {
if ((x = x_ % mod + mod) >= mod) x -= mod;
}
ModInt& operator+=(ModInt rhs) {
if ((x += rhs.x) >= mod) x -= mod;
return *this;
}
ModInt& operator-=(ModInt rhs) {
if ((x -= rhs.x) < 0) x += mod;
return *this;
}
ModInt& operator*=(ModInt rhs) {
x = (unsigned long long)x * rhs.x % mod;
return *this;
}
ModInt& operator/=(ModInt rhs) {
x = (unsigned long long)x * rhs.inv().x % mod;
return *this;
}
ModInt operator-() const { return -x < 0 ? mod - x : -x; }
ModInt operator+(ModInt rhs) const { return ModInt(*this) += rhs; }
ModInt operator-(ModInt rhs) const { return ModInt(*this) -= rhs; }
ModInt operator*(ModInt rhs) const { return ModInt(*this) *= rhs; }
ModInt operator/(ModInt rhs) const { return ModInt(*this) /= rhs; }
bool operator==(ModInt rhs) const { return x == rhs.x; }
bool operator!=(ModInt rhs) const { return x != rhs.x; }
ModInt inv() const { return pow(*this, mod - 2); }
friend ostream& operator<<(ostream& s, ModInt<mod> a) {
s << a.x;
return s;
}
friend istream& operator>>(istream& s, ModInt<mod>& a) {
s >> a.x;
return s;
}
};
using mint = ModInt<MOD>;
typedef vector<mint> vm;
typedef vector<vector<mint> >vvm;
typedef vector<vector<vector<mint> > >vvvm;
template <typename T>
struct segment_tree_beats{
int N;
vector<T> max1, max2, min1, min2, add, sum;
vector<int> maxc, minc, len;
void update_max(int i, T x){
sum[i] += (x - max1[i]) * maxc[i];
if (max1[i] == min1[i]){
min1[i] = x;
} else if (max1[i] == min2[i]){
min2[i] = x;
}
max1[i] = x;
}
void update_min(int i, T x){
sum[i] += (x - min1[i]) * minc[i];
if (min1[i] == max1[i]){
max1[i] = x;
} else if (min1[i] == max2[i]){
max2[i] = x;
}
min1[i] = x;
}
void update_add(int i, T x){
max1[i] += x;
if (max2[i] != -INF){
max2[i] += x;
}
min1[i] += x;
if (min2[i] != INF){
min2[i] += x;
}
sum[i] += x * len[i];
add[i] += x;
}
void push(int i){
if (i >= N - 1){
return;
}
int l = i * 2 + 1;
int r = i * 2 + 2;
if (add[i] != 0){
update_add(l, add[i]);
update_add(r, add[i]);
add[i] = 0;
}
if (max1[i] < max1[l]){
update_max(l, max1[i]);
}
if (min1[i] > min1[l]){
update_min(l, min1[i]);
}
if (max1[i] < max1[r]){
update_max(r, max1[i]);
}
if (min1[i] > min1[r]){
update_min(r, min1[i]);
}
}
void update(int i){
int l = i * 2 + 1;
int r = i * 2 + 2;
sum[i] = sum[l] + sum[r];
if (max1[l] > max1[r]){
max1[i] = max1[l];
max2[i] = max(max2[l], max1[r]);
maxc[i] = maxc[l];
} else if (max1[l] < max1[r]){
max1[i] = max1[r];
max2[i] = max(max1[l], max2[r]);
maxc[i] = maxc[r];
} else {
max1[i] = max1[l];
max2[i] = max(max2[l], max2[r]);
maxc[i] = maxc[l] + maxc[r];
}
if (min1[l] < min1[r]){
min1[i] = min1[l];
min2[i] = min(min2[l], min1[r]);
minc[i] = minc[l];
} else if (min1[l] > min1[r]){
min1[i] = min1[r];
min2[i] = min(min1[l], min2[r]);
minc[i] = minc[r];
} else {
min1[i] = min1[l];
min2[i] = min(min2[l], min2[r]);
minc[i] = minc[l] + minc[r];
}
}
segment_tree_beats(vector<T> A){
int n = A.size();
N = 1;
while (N < n){
N *= 2;
}
max1 = vector<T>(N * 2 - 1, -INF);
max2 = vector<T>(N * 2 - 1, -INF);
min1 = vector<T>(N * 2 - 1, INF);
min2 = vector<T>(N * 2 - 1, INF);
add = vector<T>(N * 2 - 1, 0);
sum = vector<T>(N * 2 - 1, 0);
maxc = vector<int>(N * 2 - 1, 1);
minc = vector<int>(N * 2 - 1, 1);
len = vector<int>(N * 2 - 1, 1);
for (int i = 0; i < n; i++){
max1[N - 1 + i] = A[i];
min1[N - 1 + i] = A[i];
sum[N - 1 + i] = A[i];
}
for (int i = N - 2; i >= 0; i--){
len[i] = len[i * 2 + 1] + len[i * 2 + 2];
update(i);
}
}
void range_chmin(int L, int R, T x, int i, int l, int r){
if (r <= L || R <= l || x >= max1[i]){
return;
} else if (L <= l && r <= R && x > max2[i]){
update_max(i, x);
return;
}
push(i);
int m = (l + r) / 2;
range_chmin(L, R, x, i * 2 + 1, l, m);
range_chmin(L, R, x, i * 2 + 2, m, r);
update(i);
}
void range_chmax(int L, int R, T x, int i, int l, int r){
if (r <= L || R <= l || x <= min1[i]){
return;
} else if (L <= l && r <= R && x < min2[i]){
update_min(i, x);
return;
}
push(i);
int m = (l + r) / 2;
range_chmax(L, R, x, i * 2 + 1, l, m);
range_chmax(L, R, x, i * 2 + 2, m, r);
update(i);
}
void range_add(int L, int R, T x, int i, int l, int r){
if (r <= L || R <= l){
return;
} else if (L <= l && r <= R){
update_add(i, x);
return;
}
push(i);
int m = (l + r) / 2;
range_add(L, R, x, i * 2 + 1, l, m);
range_add(L, R, x, i * 2 + 2, m, r);
update(i);
}
T range_sum(int L, int R, int i, int l, int r){
if (r <= L || R <= l){
return 0;
} else if (L <= l && r <= R){
return sum[i];
}
push(i);
int m = (l + r) / 2;
return range_sum(L, R, i * 2 + 1, l, m) + range_sum(L, R, i * 2 + 2, m, r);
}
void range_chmin(int L, int R, T x){
range_chmin(L, R, x, 0, 0, N);
}
void range_chmax(int L, int R, T x){
range_chmax(L, R, x, 0, 0, N);
}
void range_add(int L, int R, T x){
range_add(L, R, x, 0, 0, N);
}
T range_sum(int L, int R){
return range_sum(L, R, 0, 0, N);
}
};
struct PartiallyPersistentUnionFind {
vector<ll> par, last;
vector<vector<P> > history;
PartiallyPersistentUnionFind(ll n) : par(n, -1), last(n, -1), history(n) {
for (auto &vec : history) vec.emplace_back(-1, -1);
}
void init(ll n) {
par.assign(n, -1); last.assign(n, -1); history.assign(n, vector<P>());
for (auto &vec : history) vec.emplace_back(-1, -1);
}
ll root(ll t, ll x) {
if (last[x] == -1 || t < last[x]) return x;
return root(t, par[x]);
}
bool issame(ll t, ll x, ll y) {
return root(t, x) == root(t, y);
}
bool merge(ll t, ll x, ll y) {
x = root(t, x); y = root(t, y);
if (x == y) return false;
if (par[x] > par[y]) swap(x, y); // merge technique
par[x] += par[y];
par[y] = x;
last[y] = t;
history[x].emplace_back(t, par[x]);
return true;
}
ll size(ll t, ll x) {
x = root(t, x);
return -prev(lower_bound(history[x].begin(), history[x].end(), make_pair(t, 0LL)))->second;
}
};
// matrix
template<class T> struct Matrix {
vector<vector<T> > val;
Matrix(int n = 1, int m = 1, T v = 0) : val(n, vector<T>(m, v)) {}
void init(int n, int m, T v = 0) {val.assign(n, vector<T>(m, v));}
void resize(int n, int m) {
val.resize(n);
for (int i = 0; i < n; ++i) val[i].resize(m);
}
Matrix<T>& operator = (const Matrix<T> &A) {
val = A.val;
return *this;
}
size_t size() const {return val.size();}
vector<T>& operator [] (int i) {return val[i];}
const vector<T>& operator [] (int i) const {return val[i];}
friend ostream& operator << (ostream& s, const Matrix<T>& M) {
s << endl;
for (int i = 0; i < (int)M.size(); ++i) s << M[i] << endl;
return s;
}
};
template<class T> Matrix<T> operator * (const Matrix<T> &A, const Matrix<T> &B) {
Matrix<T> R(A.size(), B[0].size());
for (int i = 0; i < A.size(); ++i)
for (int j = 0; j < B[0].size(); ++j)
for (int k = 0; k < B.size(); ++k)
R[i][j] += A[i][k] * B[k][j];
return R;
}
template<class T> Matrix<T> pow(const Matrix<T> &A, long long n) {
Matrix<T> R(A.size(), A.size());
auto B = A;
for (int i = 0; i < A.size(); ++i) R[i][i] = 1;
while (n > 0) {
if (n & 1) R = R * B;
B = B * B;
n >>= 1;
}
return R;
}
template<class T> vector<T> operator * (const Matrix<T> &A, const vector<T> &B) {
vector<T> v(A.size());
for (int i = 0; i < A.size(); ++i)
for (int k = 0; k < B.size(); ++k)
v[i] += A[i][k] * B[k];
return v;
}
template<class T> Matrix<T> operator + (const Matrix<T> &A, const Matrix<T> &B) {
Matrix<T> R(A.size(), A[0].size());
for (int i = 0; i < A.size(); ++i)
for (int j = 0; j < A[0].size(); ++j)
R[i][j] = A[i][j] + B[i][j];
return R;
}
template<class T> Matrix<T> operator - (const Matrix<T> &A, const Matrix<T> &B) {
Matrix<T> R(A.size(), A[0].size());
for (int i = 0; i < A.size(); ++i)
for (int j = 0; j < A[0].size(); ++j)
R[i][j] = A[i][j] - B[i][j];
return R;
}
const int MAX_ROW = 510; // to be set appropriately
const int MAX_COL = 510; // to be set appropriately
struct BitMatrix {
int H, W;
bitset<MAX_COL> val[MAX_ROW];
BitMatrix(int m = 1, int n = 1) : H(m), W(n) {}
inline bitset<MAX_COL>& operator [] (int i) {return val[i];}
};
int GaussJordan(BitMatrix &A, bool is_extended = false) {
int rank = 0;
for (int col = 0; col < A.W; ++col) {
if (is_extended && col == A.W - 1) break;
int pivot = -1;
for (int row = rank; row < A.H; ++row) {
if (A[row][col]) {
pivot = row;
break;
}
}
if (pivot == -1) continue;
swap(A[pivot], A[rank]);
for (int row = 0; row < A.H; ++row) {
if (row != rank && A[row][col]) A[row] ^= A[rank];
}
++rank;
}
return rank;
}
int linear_equation(BitMatrix A, vector<int> b, vector<int> &res) {
int m = A.H, n = A.W;
BitMatrix M(m, n + 1);
for (int i = 0; i < m; ++i) {
for (int j = 0; j < n; ++j) M[i][j] = A[i][j];
M[i][n] = b[i];
}
int rank = GaussJordan(M, true);
// check if it has no solution
for (int row = rank; row < m; ++row) if (M[row][n]) return -1;
// answer
res.assign(n, 0);
for (int i = 0; i < rank; ++i) res[i] = M[i][n];
return rank;
}
ll exp(ll n,ll r){
if(r==0)return 1;
return n*pow(n,r-1);
}
int main(){
ios::sync_with_stdio(false);
std::cin.tie(nullptr);
cout << fixed << setprecision(13);
//CDEは制約を読もう！
//主客転倒！二重和のときは一番内側の物が何回使われるか
//√Nで分けるテク
/*--------------------------------*/
int n;cin>>n;
vvl c(n,vl(n));
vi four(n+1);
four[0]=1;
for(int i=0;i<n;i++)four[i+1]=four[i]*4;
int m=four[n];
for(int i=0;i<n;i++)for(int j=0;j<n;j++)cin>>c[j][i];
vvvl a(m,vvl(n,vl(9,INF)));
vvvl b(m,vvl(n,vl(9,INF)));
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
if(i!=j){
int cur=0;
cur+=four[i];
cur+=four[j];
chmin(a[cur][i][j],c[i][j]);
// cout<<cur<<" "<<i<<" "<<j<<" "<<a[cur][i][j]<<endl;
}
}
}
ll ans=INF;
for(int i=0;i<m;i++){
vi vec(n);
int cur=i;
bool all_red=true;
for(int j=0;j<n;j++){
vec[j]=cur%4;
cur/=4;
if(vec[j]==0||vec[j]==2)all_red=false;
}
for(int j=0;j<n;j++){
for(int k=0;k<n;k++){
bool pass=false;
if(vec[k]==3)pass=true;
if(pass)chmin(b[i][j][k],a[i][j][k]);
else if(vec[k]==1)chmin(b[i+four[k]][j][k],a[i][j][k]);
if(pass and all_red){
chmin(ans,b[i][j][k]);
// debug(vec);
// cout<<ans<<endl;
}
}
}
for(int j=0;j<n;j++){
for(int k=0;k<n;k++){
for(int l=0;l<n;l++){
if(vec[l]==0||vec[l]==2){
chmin(a[i+four[l]][l][j],b[i][j][k]+c[l][j]);
}
}
}
}
}
cout<<ans<<endl;
// rep(i,m){
// rep(j,n){
// rep(k,n){
// if(a[i][j][k]==inf)continue;
// cout<<i<<" "<<j<<" "<<k<<" "<<a[i][j][k]<<" ";
// }
// cout<<endl;
// }
// cout<<endl;
// }
}