from collections import defaultdict import bisect import sys input = sys.stdin.buffer.readline def main(): N,K,P = map(int,input().split()); INF = pow(10,20) A = list(map(int,input().split())) B = list(map(int,input().split())) dica = defaultdict(int) dicb = defaultdict(int) for a,b in zip(A,B): dica[a%P] += 1 dicb[b%P] += 1 #print(dica,dicb) #この累積和のメモリが重い #sb = [0]*(P+1) #for i in range(P): # sb[i+1] = sb[i] + dicb[i] #累積和の時値のリストとその位置に対応する累積和をもって二分探索 LB = list(dicb.keys()); LB.sort() sb = [0] for i,b in enumerate(LB): sb.append(sb[-1] + dicb[b]) sb += [INF] #print(sb) #sb[i] - sb[j]: LBのインデックスi以下LBのインデックスj以上 #和がx以下となるのがk個以上あるか def solve(x): ret = 0 for i in dica: if i <= x: #temp = sb[x-i+1] - sb[0] idx1 = bisect.bisect_right(LB,x-i) temp = sb[idx1] #print(i,"1",temp) idx2l = bisect.bisect_left(LB,P-i) #P-iを含まない idx2r = bisect.bisect_right(LB,P-1) temp += sb[idx2r] - sb[idx2l] #print(i,"2",temp) else: idx2l = bisect.bisect_left(LB,P-i) idx2r = bisect.bisect_right(LB,P+x-i) temp = sb[idx2r] - sb[idx2l] #print(i,"3",temp) ret += temp*dica[i] #print(x,ret) return ret #test = 0 #print(solve(test)) #exit() if solve(0) >= K: print(0);exit() ok = P ng = 0 #これは事前にチェック while abs(ok-ng) > 1: mid = (ok+ng)//2 #print(mid) if solve(mid) >= K: ok = mid else: ng = mid #print(solve(2)) print(ok) if __name__ == '__main__': main()