import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, 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; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } int root(int[] uf, int u) { return (uf[u] < 0) ? u : (uf[u] = uf.root(uf[u])); } bool connect(int[] uf, int u, int v) { u = uf.root(u); v = uf.root(v); if (u == v) return false; // if (uf[u] > uf[v]) swap(u, v); uf[u] += uf[v]; uf[v] = u; return true; } // https://arxiv.org/pdf/1906.04062v5.pdf enum INF = 10L^^18; void main() { try { for (; ; ) { const N = readInt(); const M = readInt(); const K = readInt(); auto A = new int[M]; auto B = new int[M]; auto C = new long[M]; auto X = new int[M]; foreach (i; 0 .. M) { A[i] = readInt() - 1; B[i] = readInt() - 1; C[i] = readLong(); const tmp = readToken(); foreach (k; 0 .. K) { X[i] |= (tmp[k] - '0') << k; } } const S = N - 1; auto G = new int[][N]; foreach (i; 0 .. M) { G[A[i]] ~= i; G[B[i]] ~= i; } alias Entry = Tuple!(long, "val", int, "key"); BinaryHeap!(Array!Entry, "a.val > b.val") que; auto dist = new long[N]; auto pred = new int[N]; auto depth = new int[N]; auto label = new int[N]; dist[] = INF; pred[] = -1; que.insert(Entry(dist[S] = 0, S)); for (; !que.empty; ) { const c = que.front.val; const u = que.front.key; que.removeFront; if (dist[u] == c) { foreach (i; G[u]) { const cc = c + C[i]; const v = A[i] ^ B[i] ^ u; if (chmin(dist[v], cc)) { que.insert(Entry(cc, v)); pred[v] = u; depth[v] = depth[u] + 1; label[v] = label[u] ^ X[i]; } } } } debug { writeln("dist = ", dist); writeln("pred = ", pred); writeln("label = ", label); } auto qs = new long[N]; qs[] = INF; auto uf = new int[N]; uf[] = -1; auto hs = new long[M]; foreach (i; 0 .. M) { if (label[A[i]] ^ label[B[i]] ^ X[i]) { hs[i] = dist[A[i]] + dist[B[i]] + C[i]; que.insert(Entry(hs[i], i)); } else { hs[i] = INF; } } debug { writeln("hs = ", hs); } for (; !que.empty; ) { const h = que.front.val; const i = que.front.key; que.removeFront; if (hs[i] == h) { int wa = uf.root(A[i]); int wb = uf.root(B[i]); int[] bs; for (; wa != wb; ) { if (depth[wa] >= depth[wb]) { bs ~= wa; wa = uf.root(pred[wa]); } else { bs ~= wb; wb = uf.root(pred[wb]); } } foreach (w; bs) { uf.connect(wa, w); qs[w] = hs[i] - dist[w]; foreach (j; G[w]) { const x = A[j] ^ B[j] ^ w; if (chmin(hs[j], qs[w] + dist[x] + C[j])) { que.insert(Entry(hs[j], j)); } } } } } auto ans = new long[N]; foreach (u; 0 .. N) { ans[u] = label[u] ? dist[u] : qs[u]; } foreach (u; 0 .. N - 1) { writeln((ans[u] >= INF) ? -1 : ans[u]); } } } catch (EOFException e) { } }