import std.conv, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } void chmin(T)(ref T t, in T f) { if (t > f) t = f; } void chmax(T)(ref T t, in T f) { if (t < f) t = f; } int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = cast(int)(as.length); for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; } int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a < val)); } int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a <= val)); } enum INF = 10L^^18; class SegmentTree { int n; long[] mn; this(int n_) { for (n = 1; n < n_; n <<= 1) {} mn = new long[n << 1]; mn[] = INF; } void update(int a, long val) { chmin(mn[a += n], val); for (a >>= 1; a; a >>= 1) { mn[a] = min(mn[a << 1], mn[a << 1 | 1]); } } long rangeMin(int a, int b) { long ret = INF; for (a += n, b += n; a <= b; a >>= 1, b >>= 1) { if ( a & 1) chmin(ret, mn[a++]); if (~b & 1) chmin(ret, mn[b--]); } return ret; } } int N; long[] A, X, Y; void main() { try { for (; ; ) { N = readInt(); A = new long[N]; foreach (i; 0 .. N) { A[i] = readLong(); } X = new long[N]; foreach (i; 0 .. N) { X[i] = readLong(); } Y = new long[N]; foreach (i; 0 .. N) { Y[i] = readLong(); } debug { auto dp = new long[N]; foreach (i; 0 .. N) { dp[i] = abs(X[0] - A[i]) + abs(Y[0] - 0); foreach (j; 1 .. i + 1) { chmin(dp[i], dp[j - 1] + abs(X[j] - A[i]) + abs(Y[j] - 0)); } } writeln(dp); } /* dp[i] = min{ dp[j - 1] + |X[j] - A[i]| + |Y[j] - 0| | 0 <= j <= i } = min{ min{ dp[j - 1] - X[j] + |Y[j]| | X[j] < A[i] } + A[i], min{ dp[j - 1] + X[j] + |Y[j]| | X[j] >= A[i] } - A[i] } */ const xs = X.dup.sort.uniq.array; const xsLen = cast(int)(xs.length); auto segL = new SegmentTree(xsLen); auto segR = new SegmentTree(xsLen); long ans; foreach (i; -1 .. N) { long z; if (i == -1) { z = 0; } else { z = min( segL.rangeMin(0, xs.lowerBound(A[i]) - 1) + A[i], segR.rangeMin(xs.lowerBound(A[i]), xsLen - 1) - A[i] ); } debug { writeln(i, " ", z); } if (i == N - 1) { ans = z; } else { const pos = xs.lowerBound(X[i + 1]); segL.update(pos, z - X[i + 1] + abs(Y[i + 1])); segR.update(pos, z + X[i + 1] + abs(Y[i + 1])); } } writeln(ans); } } catch (EOFException e) { } }