import std.algorithm, std.conv, std.range, std.stdio, std.string; import std.container; // SList, DList, BinaryHeap const cols = 4, rows = 4; alias Grid!(int, int) grid; alias Point!int point; void main() { auto aij = rows.iota.map!(y => cols.iota.map!(x => y * cols + x + 1).array).array; auto ga = grid(aij); auto p0 = point(cols-1, rows-1); ga[p0] = 0; auto bij = rows.iota.map!(_ => readln.split.to!(int[])).array; auto gb = grid(bij); struct QItem { grid g; point p; int moved; } auto qi = new SList!QItem(QItem(ga, p0, 0)); while (!qi.empty) { auto q = qi.front; qi.removeFront(); if (isEqual(q.g, gb)) { writeln("Yes"); return; } foreach (np; q.g.sibPoints4(q.p)) { if (q.moved.bitTest(q.g[np])) continue; auto ng = q.g.dup; swap(ng[q.p], ng[np]); qi.insertFront(QItem(ng, np, q.moved.bitSet(ng[q.p]))); } } writeln("No"); } auto isEqual(grid a, grid b) { return zip(a.m, b.m).all!"a[0] == a[1]"; } pragma(inline) { pure bool bitTest(T)(T n, size_t i) { return (n & (T(1) << i)) != 0; } pure T bitSet(T)(T n, size_t i) { return n | (T(1) << i); } pure T bitReset(T)(T n, size_t i) { return n & ~(T(1) << i); } pure T bitComp(T)(T n, size_t i) { return n ^ (T(1) << i); } } struct Point(T) { T x, y; pure auto opBinary(string op: "+")(Point!T rhs) const { return Point!T(x + rhs.x, y + rhs.y); } pure auto opBinary(string op: "-")(Point!T rhs) const { return Point!T(x - rhs.x, y - rhs.y); } pure auto opBinary(string op: "*")(Point!T rhs) const { return x * rhs.x + y * rhs.y; } pure auto opBinary(string op: "*")(T a) const { return Point!T(x * a, y * a); } pure auto opBinary(string op: "/")(T a) const { return Point!T(x / a, y / a); } pure auto hypot2() const { return x ^^ 2 + y ^^ 2; } } struct Grid(T, U) { import std.algorithm, std.conv, std.range, std.traits, std.typecons; const sibs4 = [Point!U(-1, 0), Point!U(0, -1), Point!U(1, 0), Point!U(0, 1)]; const sibs8 = [Point!U(-1, 0), Point!U(-1, -1), Point!U(0, -1), Point!U(1, -1), Point!U(1, 0), Point!U(1, 1), Point!U(0, 1), Point!U(-1, 1)]; T[][] m; const size_t rows, cols; mixin Proxy!m; this(size_t r, size_t c) { rows = r; cols = c; m = new T[][](rows, cols); } this(T[][] s) { rows = s.length; cols = s[0].length; m = s; } pure auto dup() const { return Grid(m.map!(r => r.dup).array); } ref pure auto opIndex(Point!U p) { return m[p.y][p.x]; } ref pure auto opIndex(size_t y) { return m[y]; } ref pure auto opIndex(size_t y, size_t x) const { return m[y][x]; } static if (isAssignable!T) { auto opIndexAssign(T v, Point!U p) { return m[p.y][p.x] = v; } auto opIndexAssign(T v, size_t y, size_t x) { return m[y][x] = v; } auto opIndexOpAssign(string op, V)(V v, Point!U p) { return mixin("m[p.y][p.x] " ~ op ~ "= v"); } auto opIndexOpAssign(string op, V)(V v, size_t y, size_t x) { return mixin("m[y][x] " ~ op ~ "= v"); } } pure auto validPoint(Point!U p) { return p.x >= 0 && p.x < cols && p.y >= 0 && p.y < rows; } pure auto points() const { return rows.to!U.iota.map!(y => cols.to!U.iota.map!(x => Point!U(x, y))).joiner; } pure auto sibPoints4(Point!U p) { return sibs4.map!(s => p + s).filter!(p => validPoint(p)); } pure auto sibPoints8(Point!U p) { return sibs8.map!(s => p + s).filter!(p => validPoint(p)); } }