#include #include #define chmin(x,y) (x) = min((x),(y)) #define chmax(x,y) (x) = max((x),(y)) using namespace std; using namespace atcoder; using ll = long long; const ll mod = 998244353; using mint = modint998244353; using Graph = vector>; const vector dx ={1,0,-1,0}, dy = {0,1,0,-1}; long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } int main() { // input int N; cin >> N; vector A(2*N),B(2*N); for(int i = 0; i < 2*N; i++) cin >> A[i]; for(int i = 0; i < 2*N; i++) cin >> B[i]; // solve: Kukan DP O(N^2) vector>> dp(N+1,vector>(N+1,vector(3))); for(int i = 0; i < N; i++){ if(A[2*i] - B[2*i+1] <= A[2*i+1] - B[2*i]) dp[i][i+1] = {A[2*i] - B[2*i+1], 2*i, 2*i+1}; else dp[i][i+1] = {A[2*i+1] - B[2*i], 2*i+1, 2*i}; } for(int d = 2; d <= N; d++){ for(int l = 0; l + d <= N; l++){ int r = l+d; dp[l][r] = dp[l][r-1]; dp[l][r][0] += dp[r-1][r][0]; int swp1 = dp[l][r-1][2], swp2 = dp[r-1][r][1]; ll X = dp[l][r][0] + B[swp1] - B[swp2] - A[swp2] + A[swp1]; int swp3 = dp[r-1][r][2], swp4 = dp[l][r-1][1]; ll Y = dp[l][r][0] + B[swp3] - B[swp4] - A[swp4] + A[swp3]; if(min(X,Y) > dp[l][r][0]){ if(min(X,Y) == X) dp[l][r] = {X,dp[l][r-1][1],swp2}; else dp[l][r] = {Y,dp[r-1][r][1],swp4}; } } } // output cout << dp[0][N][0] << endl; }