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Home Code Solutions Hackerrank Algorithms

Iterate It – HackerRank Solution

Iterate It - HackerRank Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.

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Table of Contents

  • Iterate It – HackerRank Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.
  • Solutions of Algorithms Data Structures Hard HackerRank:
    • Here are all the Solutions of Hard , Advanced , Expert Algorithms of Data Structure of Hacker Rank , Leave a comment for similar posts
  • C++ replace HackerRank Solution
  • Java rep HackerRank Solution
  • Python 3 rep HackerRank Solution
  • Python 2 rep HackerRank Solution
  • C rep HackerRank Solution
    • Warmup Implementation Strings Sorting Search Graph Theory Greedy Dynamic Programming Constructive Algorithms Bit Manipulation Recursion Game Theory NP Complete Debugging
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      • Related posts:

Iterate It – HackerRank Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.

Solutions of Algorithms Data Structures Hard HackerRank:

Here are all the Solutions of Hard , Advanced , Expert Algorithms of Data Structure of Hacker Rank , Leave a comment for similar posts

C++ replace HackerRank Solution


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#include <iostream>
#include <cstdio>
#include <string.h>
#include <algorithm>
#include <vector>
#include <string>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <sstream>
#include <cmath>
#include <ctime>
#include <bitset>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector< vector<int> > vvi;
typedef vector<ll> vl;
typedef vector< vector<ll> > vvl;

#define forn(i, n) for (int i = 0; i < (int)(n); i++)
#define forv(i, v) forn(i, v.size())
#define all(v) v.begin(), v.end()
#define mp make_pair
#define pb push_back

const int N = 50005;

typedef bitset<N> mask;

int gcd(int x, int y) {
    if (!y) return x;
    return gcd(y, x % y);
}

int main() {
#ifdef NEREVAR_PROJECT
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
    int n; cin >> n;
    vi a(n);
    forn(i, n) {
        scanf("%d", &a[i]);
    }
    sort(all(a));
    a.erase(unique(all(a)), a.end());
    n = (int)a.size();
    mask diffs;
    mask present;
    for (int i = n - 1; i >= 0; i--) {
        diffs |= present >> a[i];
        present.set(a[i]);
    }
    vi s;
    forn(i, N) {
        if (diffs.test(i)) {
            s.pb(i);
        }
    }
    if (s.empty()) {
        cout << 1 << endl;
        return 0;
    }
    int g = 0;
    forv(i, s) g = gcd(g, s[i]);
    forv(i, s) s[i] /= g;
    
    diffs.reset();
    present.reset();
    for (int i = (int)s.size() - 1; i >= 0; i--) {
        diffs |= present >> (s[i] + 1);
        present.set(s[i]);
    }
    
    int steps = 2, m = s.back() - s[0];
    while (m && !diffs.test(0)) {
        mask next;
        int mNext = m;
        forn(i, m) {
            if (diffs.test(i)) {
                if (mNext == m) {
                    mNext = m - i - 1;
                }
                next |= diffs >> (i + 1);
            }
        }
        m = mNext;
        steps++;
        diffs = next;
    }
    
    cout << steps + m << endl;
    
    return 0;
}

Java rep HackerRank Solution


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import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class G {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		int Z = 50003;
		long[] a = new long[Z];
		long[] ra = new long[Z];
		for(int v : na(n)){
			a[v] |= 1;
		}
		int step = 0;
		if(size(a) <= 5){
			int[] who = new int[5];
			int p = 0;
			for(int i = 0;i < Z;i++){
				if(a[i] == 1){
					who[p++] = i;
					a[i] = 0;
				}
			}
			who = Arrays.copyOf(who, p);
			while(p <= 5){
				int[] nwho = new int[p*(p-1)/2];
				int q = 0;
				for(int i = 0;i < p;i++){
					for(int j = i+1;j < p;j++){
						nwho[q++] = who[j]-who[i];
					}
				}
				Arrays.sort(nwho, 0, q);
				who = uniq(nwho, q);
				p = who.length;
				step++;
				if(p == 0)break;
			}
			if(p == 0){
				out.println(step);
				return;
			}
			
			for(int w : who){
				a[w] = 1;
			}
		}
		
		while(true){
			n = a.length;
//			trnz(a);
			int g = 0;
			for(int i = 1;i < Z;i++){
				if(a[i] == 1){
					g = gcd(g, i);
					if(g == 1)break;
				}
			}
			if(g > 1){
				for(int i = 1;i < Z;i++){
					if(a[i] == 1){
						a[i/g] = 1;
						a[i] = 0;
					}
				}
			}
			
			for(int i = 0;i < Z;i++){
				ra[Z-1-i] = a[i];
			}
			long[] aa = convoluteSimply(a, ra, 998244353, 5);
			boolean end = true;
			int max = 0, tot = 0;
			for(int i = 1;i < Z;i++){
				a[i] = aa[Z-1+i] > 0 ? 1 : 0;
				if(a[i] == 1){
					max = i;
					tot++;
					end = false;
				}
			}
			step++;
			if(max == tot){
				step += max;
				break;
			}
			if(end)break;
		}
		out.println(step);
	}
	
	public static int gcd(int a, int b) {
		while (b > 0) {
			int c = a;
			a = b;
			b = c % b;
		}
		return a;
	}
	
	
	public static int size(long... o)
	{
		int ret = 0;
		for(long v : o){
			ret += v;
		}
		return ret;
	}
	
	public static void trnz(long... o)
	{
		for(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+":"+o[i]+" ");
		System.out.println();
	}

	
	public static int[] uniq(int[] a, int n)
	{
		int p = 0;
		for(int i = 0;i < n;i++) {
			if(i == 0 || a[i] != a[i-1])a[p++] = a[i];
		}
		return Arrays.copyOf(a, p);
	}
	
	public static final int[] NTTPrimes = {1053818881, 1051721729, 1045430273, 1012924417, 1007681537, 1004535809, 998244353, 985661441, 976224257, 975175681};
	public static final int[] NTTPrimitiveRoots = {7, 6, 3, 5, 3, 3, 3, 3, 3, 17};
//	public static final int[] NTTPrimes = {1012924417, 1004535809, 998244353, 985661441, 975175681, 962592769, 950009857, 943718401, 935329793, 924844033};
//	public static final int[] NTTPrimitiveRoots = {5, 3, 3, 3, 17, 7, 7, 7, 3, 5};
	
	public static long[] convoluteSimply(long[] a, long[] b, int P, int g)
	{
		int m = Math.max(2, Integer.highestOneBit(Math.max(a.length, b.length)-1)<<2);
		long[] fa = nttmb(a, m, false, P, g);
		long[] fb = a == b ? fa : nttmb(b, m, false, P, g);
		for(int i = 0;i < m;i++){
			fa[i] = fa[i]*fb[i]%P;
		}
		return nttmb(fa, m, true, P, g);
	}
	
	public static long[] convolute(long[] a, long[] b)
	{
		int USE = 2;
		int m = Math.max(2, Integer.highestOneBit(Math.max(a.length, b.length)-1)<<2);
		long[][] fs = new long[USE][];
		for(int k = 0;k < USE;k++){
			int P = NTTPrimes[k], g = NTTPrimitiveRoots[k];
			long[] fa = nttmb(a, m, false, P, g);
			long[] fb = a == b ? fa : nttmb(b, m, false, P, g);
			for(int i = 0;i < m;i++){
				fa[i] = fa[i]*fb[i]%P;
			}
			fs[k] = nttmb(fa, m, true, P, g);
		}
		
		int[] mods = Arrays.copyOf(NTTPrimes, USE);
		long[] gammas = garnerPrepare(mods);
		int[] buf = new int[USE];
		for(int i = 0;i < fs[0].length;i++){
			for(int j = 0;j < USE;j++)buf[j] = (int)fs[j][i];
			long[] res = garnerBatch(buf, mods, gammas);
			long ret = 0;
			for(int j = res.length-1;j >= 0;j--)ret = ret * mods[j] + res[j];
			fs[0][i] = ret;
		}
		return fs[0];
	}
	
	public static long[] convolute(long[] a, long[] b, int USE, int mod)
	{
		int m = Math.max(2, Integer.highestOneBit(Math.max(a.length, b.length)-1)<<2);
		long[][] fs = new long[USE][];
		for(int k = 0;k < USE;k++){
			int P = NTTPrimes[k], g = NTTPrimitiveRoots[k];
			long[] fa = nttmb(a, m, false, P, g);
			long[] fb = a == b ? fa : nttmb(b, m, false, P, g);
			for(int i = 0;i < m;i++){
				fa[i] = fa[i]*fb[i]%P;
			}
			fs[k] = nttmb(fa, m, true, P, g);
		}
		
		int[] mods = Arrays.copyOf(NTTPrimes, USE);
		long[] gammas = garnerPrepare(mods);
		int[] buf = new int[USE];
		for(int i = 0;i < fs[0].length;i++){
			for(int j = 0;j < USE;j++)buf[j] = (int)fs[j][i];
			long[] res = garnerBatch(buf, mods, gammas);
			long ret = 0;
			for(int j = res.length-1;j >= 0;j--)ret = (ret * mods[j] + res[j]) % mod;
			fs[0][i] = ret;
		}
		return fs[0];
	}
	
	// static int[] wws = new int[270000]; // outer faster
	
	// Modifed Montgomery + Barrett
	private static long[] nttmb(long[] src, int n, boolean inverse, int P, int g)
	{
		long[] dst = Arrays.copyOf(src, n);
		
		int h = Integer.numberOfTrailingZeros(n);
		long K = Integer.highestOneBit(P)<<1;
		int H = Long.numberOfTrailingZeros(K)*2;
		long M = K*K/P;
		
		int[] wws = new int[1<<h-1];
		long dw = inverse ? pow(g, P-1-(P-1)/n, P) : pow(g, (P-1)/n, P);
		long w = (1L<<32)%P;
		for(int k = 0;k < 1<<h-1;k++){
			wws[k] = (int)w;
			w = modh(w*dw, M, H, P);
		}
		long J = invl(P, 1L<<32);
		for(int i = 0;i < h;i++){
			for(int j = 0;j < 1<<i;j++){
				for(int k = 0, s = j<<h-i, t = s|1<<h-i-1;k < 1<<h-i-1;k++,s++,t++){
					long u = (dst[s] - dst[t] + 2*P)*wws[k];
					dst[s] += dst[t];
					if(dst[s] >= 2*P)dst[s] -= 2*P;
//					long Q = (u&(1L<<32)-1)*J&(1L<<32)-1;
					long Q = (u<<32)*J>>>32;
					dst[t] = (u>>>32)-(Q*P>>>32)+P;
				}
			}
			if(i < h-1){
				for(int k = 0;k < 1<<h-i-2;k++)wws[k] = wws[k*2];
			}
		}
		for(int i = 0;i < n;i++){
			if(dst[i] >= P)dst[i] -= P;
		}
		for(int i = 0;i < n;i++){
			int rev = Integer.reverse(i)>>>-h;
			if(i < rev){
				long d = dst[i]; dst[i] = dst[rev]; dst[rev] = d;
			}
		}
		
		if(inverse){
			long in = invl(n, P);
			for(int i = 0;i < n;i++)dst[i] = modh(dst[i]*in, M, H, P);
		}
		
		return dst;
	}
	
	// Modified Shoup + Barrett
	private static long[] nttsb(long[] src, int n, boolean inverse, int P, int g)
	{
		long[] dst = Arrays.copyOf(src, n);
		
		int h = Integer.numberOfTrailingZeros(n);
		long K = Integer.highestOneBit(P)<<1;
		int H = Long.numberOfTrailingZeros(K)*2;
		long M = K*K/P;
		
		long dw = inverse ? pow(g, P-1-(P-1)/n, P) : pow(g, (P-1)/n, P);
		long[] wws = new long[1<<h-1];
		long[] ws = new long[1<<h-1];
		long w = 1;
		for(int k = 0;k < 1<<h-1;k++){
			wws[k] = (w<<32)/P;
			ws[k] = w;
			w = modh(w*dw, M, H, P);
		}
		for(int i = 0;i < h;i++){
			for(int j = 0;j < 1<<i;j++){
				for(int k = 0, s = j<<h-i, t = s|1<<h-i-1;k < 1<<h-i-1;k++,s++,t++){
					long ndsts = dst[s] + dst[t];
					if(ndsts >= 2*P)ndsts -= 2*P;
					long T = dst[s] - dst[t] + 2*P;
					long Q = wws[k]*T>>>32;
					dst[s] = ndsts;
					dst[t] = ws[k]*T-Q*P&(1L<<32)-1;
				}
			}
//			dw = dw * dw % P;
			if(i < h-1){
				for(int k = 0;k < 1<<h-i-2;k++){
					wws[k] = wws[k*2];
					ws[k] = ws[k*2];
				}
			}
		}
		for(int i = 0;i < n;i++){
			if(dst[i] >= P)dst[i] -= P;
		}
		for(int i = 0;i < n;i++){
			int rev = Integer.reverse(i)>>>-h;
			if(i < rev){
				long d = dst[i]; dst[i] = dst[rev]; dst[rev] = d;
			}
		}
		
		if(inverse){
			long in = invl(n, P);
			for(int i = 0;i < n;i++){
				dst[i] = modh(dst[i] * in, M, H, P);
			}
		}
		
		return dst;
	}
	
	static final long mask = (1L<<31)-1;
	
	public static long modh(long a, long M, int h, int mod)
	{
		long r = a-((M*(a&mask)>>>31)+M*(a>>>31)>>>h-31)*mod;
		return r < mod ? r : r-mod;
	}
	
	private static long[] garnerPrepare(int[] m)
	{
		int n = m.length;
		assert n == m.length;
		if(n == 0)return new long[0];
		long[] gamma = new long[n];
		for(int k = 1;k < n;k++){
			long prod = 1;
			for(int i = 0;i < k;i++){
				prod = prod * m[i] % m[k];
			}
			gamma[k] = invl(prod, m[k]);
		}
		return gamma;
	}
	
	private static long[] garnerBatch(int[] u, int[] m, long[] gamma)
	{
		int n = u.length;
		assert n == m.length;
		long[] v = new long[n];
		v[0] = u[0];
		for(int k = 1;k < n;k++){
			long temp = v[k-1];
			for(int j = k-2;j >= 0;j--){
				temp = (temp * m[j] + v[j]) % m[k];
			}
			v[k] = (u[k] - temp) * gamma[k] % m[k];
			if(v[k] < 0)v[k] += m[k];
		}
		return v;
	}
	
	private static long pow(long a, long n, long mod) {
		//		a %= mod;
		long ret = 1;
		int x = 63 - Long.numberOfLeadingZeros(n);
		for (; x >= 0; x--) {
			ret = ret * ret % mod;
			if (n << 63 - x < 0)
				ret = ret * a % mod;
		}
		return ret;
	}
	
	private static long invl(long a, long mod) {
		long b = mod;
		long p = 1, q = 0;
		while (b > 0) {
			long c = a / b;
			long d;
			d = a;
			a = b;
			b = d % b;
			d = p;
			p = q;
			q = d - c * q;
		}
		return p < 0 ? p + mod : p;
	}

	
	void run() throws Exception
	{
//		int n = 100000, m = 99999;
//		Random gen = new Random();
//		StringBuilder sb = new StringBuilder();
//		sb.append(n + " ");
//		for (int i = 0; i < n; i++) {
//			sb.append(gen.nextInt(16667)*3+1 + " ");
//		}
//		INPUT = sb.toString();

		
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);
		
		long s = System.currentTimeMillis();
		solve();
		out.flush();
		if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
	}
	
	public static void main(String[] args) throws Exception { new G().run(); }
	
	private byte[] inbuf = new byte[1024];
	public int lenbuf = 0, ptrbuf = 0;
	
	private int readByte()
	{
		if(lenbuf == -1)throw new InputMismatchException();
		if(ptrbuf >= lenbuf){
			ptrbuf = 0;
			try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
			if(lenbuf <= 0)return -1;
		}
		return inbuf[ptrbuf++];
	}
	
	private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
	private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
	
	private double nd() { return Double.parseDouble(ns()); }
	private char nc() { return (char)skip(); }
	
	private String ns()
	{
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	
	private char[] ns(int n)
	{
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while(p < n && !(isSpaceChar(b))){
			buf[p++] = (char)b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}
	
	private char[][] nm(int n, int m)
	{
		char[][] map = new char[n][];
		for(int i = 0;i < n;i++)map[i] = ns(m);
		return map;
	}
	
	private int[] na(int n)
	{
		int[] a = new int[n];
		for(int i = 0;i < n;i++)a[i] = ni();
		return a;
	}
	
	private int ni()
	{
		int num = 0, b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private long nl()
	{
		long num = 0;
		int b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
}

 



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input()
A = set([int(m) for m in input().strip().split()])

def DeltaBasis2(AList,P=False):
    if type(AList) == set:
        AList = sorted(list(AList))
    if len(AList) == 1:
        return 1
    Count = 0
    
    while len(AList)>0:
        if len(AList) == 1:
            return Count + 1
        LCM = True
        for i1 in AList[1:]:
            if i1 % AList[0] != 0:
                LCM = False
                break
        if LCM:
            AList = [int(m/AList[0]) for m in AList]
        
        if (AList[0] == 1 and AList[1] == 2):
            return Count + AList[-1]
                     
        Delta = set()
        if len(AList) < 100:
            MaxWidth = len(AList) - 1
        else:
            MaxWidth = int(len(AList)**0.75//1)
        for W in range(1,MaxWidth+1):
            for i1 in range(len(AList)-W):
                Delta.add(abs(AList[i1+W]-AList[i1]))
        Delta = sorted(list(Delta))
        
        
        AList = sorted(list(set([m for m in Delta] + [AList[-1] - m for m in AList[:-1]])))
        if P:
            print(AList2)
        Count +=  1
    return Count   

print(DeltaBasis2(A))



Python 2 rep HackerRank Solution


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C rep HackerRank Solution


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#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>
#include <stdbool.h>
#include <assert.h>

typedef unsigned int uint;

#define MAX_N 100000
#define MAX_VALUE 50000

uint a[MAX_N];
bool b[MAX_VALUE+1];

int main() {
    // read input
    uint n;
    scanf("%u", &n);
    assert(n <= MAX_N);
    for (int i = 0; i < n; i++) {
        uint v;
        scanf("%u", &v);
        assert(v);
        assert(v <= MAX_VALUE);
        b[v] = true;
    }
    
    // start grinding
    uint rep = 0;
    while (true) {
        // transfer from b (presence array) back to a (sorted list)
        uint stride = 0;
        bool in_stride = true;
        n = 0;
        for (uint i = 1; i <= MAX_VALUE; i++) {
            if (b[i]) {
                b[i] = false;
                if (!n) {
                   stride = i;
                } else if (in_stride && i - a[n-1] != stride) {
                    in_stride = false;
                }
                a[n++] = i;
            }
        }
        if (!n) {
            break;
        }
        if (in_stride) {
            // shortcut
            assert(a[n-1]/stride == n);
            rep += n;
            break;
        }
        rep++;
        for (uint ai = 0; ai < n-1; ai++) {
            for (uint aj = ai+1; aj < n; aj++) {
                // no unnecessary code here, performance-critical
                b[a[aj] - a[ai]] = true;
            }
        }
    }
    printf("%u\n", rep);
    return 0;
}

 

Warmup
Implementation
Strings
Sorting
Search
Graph Theory
Greedy
Dynamic Programming
Constructive Algorithms
Bit Manipulation
Recursion
Game Theory
NP Complete
Debugging

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