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)); } void main() { try { for (; ; ) { const numCases = readInt; foreach (caseId; 0 .. numCases) { const N = readInt; const M = readInt; const K = readLong; auto X = new int[M]; auto Y = new long[M]; foreach (i; 0 .. M) { X[i] = readInt - 1; Y[i] = readLong; } /* \Delta[b] (b - Y)^2 = 2 (b - Y) + 1 */ auto ps = new long[N]; auto qs = new long[N]; foreach (i; 0 .. M) { ps[X[i]] += 2; qs[X[i]] += -2 * Y[i] + 1; } // p b + q <= thr auto bs = new long[N]; long check(long thr) { long sum; foreach (j; 0 .. N) { if (ps[j] == 0) { bs[j] = (0 <= thr) ? K : 0; } else { bs[j] = (thr - qs[j] >= 0) ? ((thr - qs[j]) / ps[j] + 1) : 0; } sum += bs[j]; } return sum; } long lo = qs.sum - 1; long hi = ps.sum * K + 1; for (; lo + 1 < hi; ) { const mid = (lo + hi) / 2; ((check(mid) <= K) ? lo : hi) = mid; } long rem = K - check(lo); debug { writeln("lo = ", lo); writeln("bs = ", bs); writeln("rem = ", rem); foreach (j; 0 .. N) { // writeln(iota(K).map!(b => ps[j] * b + qs[j])); } } foreach (j; 0 .. N) { for (; rem > 0 && ps[j] * bs[j] + qs[j] == hi; ) { --rem; ++bs[j]; } } assert(rem == 0); debug { writeln("bs = ", bs); } long ans; foreach (i; 0 .. M) { ans += (bs[X[i]] - Y[i])^^2; } writeln(ans); } } } catch (EOFException e) { } }