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Meteor CodeChef Solution

Problem -Meteor CodeChef Solution

This website is dedicated for CodeChef solution where we will publish right solution of all your favourite CodeChef problems along with detailed explanatory of different competitive programming concepts and languages.
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Meteor CodeChef Solution in C++17

// #pragma GCC optimize("O3")
// #pragma GCC optimize("Ofast")
#include <bits/stdc++.h>

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

#include "complex"

using namespace std;
using namespace __gnu_pbds;
template <class T>
using o_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the kth largest element.(0-based)
typedef pair<int, int> II;
typedef vector<II> VII;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef long long LL;
#define PB push_back
#define MP make_pair
#define F first
#define S second
#define SZ(a) (int)(a.size())
#define ALL(a) a.begin(), a.end()
#define SET(a, b) memset(a, b, sizeof(a))
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define REP(i, n) FOR(i, 0, n)
#define si(n) scanf("%d", &n)
#define dout(n) printf("%d\n", n)
#define sll(n) scanf("%lld", &n)
#define lldout(n) printf("%lld\n", n)
#define fast_io                       \
    ios_base::sync_with_stdio(false); \
    cin.tie(NULL)
#define endl "\n"
const long long mod = 1e9 + 7;

void prec() {
}
void solve() {
    // dp[i][j] is the answer between the rows i and j
    // dp[i][j]= max(dp[i+1][j],dp[i][j-1])
    // add max area that can be created so that upper row is i and lower is j
    // so get max width basically
    //
    int n, m, k;
    cin >> n >> m >> k;
    bool A[n][m];
    memset(A, true, sizeof(A));
    for (int i = 0; i < k; i++) {
        int x, y;
        cin >> x >> y;
        x--;
        y--;
        A[x][y] = false;
    }
    int up[n][m];
    memset(up, 0, sizeof(up));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            up[i][j] = A[i][j] ? 1 : 0;
            if (i && A[i][j]) {
                up[i][j] += up[i - 1][j];
            }
        }
    }

    int left[n][m];
    int right[n][m];
    for (int i = 0; i < n; i++) {
        stack<pair<int, int>> s;
        for (int j = 0; j < m; j++) {
            int x = up[i][j];
            right[i][j] = m - 1;
            if (!s.size()) {
                s.push({up[i][j], j});
                continue;
            }
            while (s.size() && s.top().first > x) {
                right[i][s.top().second] = j - 1;
                s.pop();
            }
            s.push({up[i][j], j});
        }
        while (s.size()) {
            s.pop();
        }
        for (int j = m - 1; j >= 0; j--) {
            int x = up[i][j];
            left[i][j] = 0;
            if (!s.size()) {
                s.push({up[i][j], j});
                continue;
            }
            while (s.size() && s.top().first > x) {
                left[i][s.top().second] = j + 1;
                s.pop();
            }
            s.push({up[i][j], j});
        }
    }

    // now we can find that for i and j, what is the maximum
    int c[n][n];
    memset(c, 0, sizeof(c));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            if (A[i][j]) {
                int x = right[i][j] - left[i][j] + 1;
                int y = up[i][j];
                c[i - y + 1][i] = max(c[i - y + 1][i], x);
            }
        }
    }
    // for (int i = 0; i < n; i++) {
    //     for (int j = 0; j < n; j++) {
    //         cout << c[i][j] << " ";
    //     }
    //     cout << endl;
    // }
    int fdp[n][n];
    memset(fdp, 0, sizeof(fdp));
    // apply dp on c
    for (int i = 0; i < n; i++) {
        for (int l = n; l; l--) {
            int j = i + l - 1;
            if (j >= n) {
                continue;
            }
            fdp[i][j] = c[i][j];
            if (i) {
                fdp[i][j] = max(fdp[i][j], fdp[i - 1][j]);
            }
            if (j < n - 1) {
                fdp[i][j] = max(fdp[i][j], fdp[i][j + 1]);
            }
        }
    }
    // cout << endl;
    // for (int i = 0; i < n; i++) {
    //     for (int j = 0; j < n; j++) {
    //         cout << fdp[i][j] << " ";
    //     }
    //     cout << endl;
    // }
    int dp[n][n];
    memset(dp, 0, sizeof(dp));

    for (int l = 1; l <= n; l++) {
        // dp[i][i] = fdp[i][i];
        for (int i = 0; i < n; i++) {
            int j = i + l - 1;
            if (l == 1) {
                dp[i][i] = fdp[i][i];
            } else {
                dp[i][j] = max(dp[i + 1][j], dp[i][j - 1]);
                dp[i][j] = max(dp[i][j], fdp[i][j] * (j - i + 1));
            }
        }
    }

    // cout << endl;
    // for (int i = 0; i < n; i++) {
    //     for (int j = 0; j < n; j++) {
    //         cout << fdp[i][j] << " ";
    //     }
    //     cout << endl;
    // }
    int q;
    cin >> q;
    while (q--) {
        int l, r;
        cin >> l >> r;
        l--;
        r--;
        cout << dp[l][r] << endl;
    }
}

signed main() {
    fast_io;
    prec();
    //  freopen("input.txt", "r", stdin);
    //  freopen("output.txt", "w", stdout);
    int totalTests = 1;
    // cin >> totalTests;
    for (int testNo = 1; testNo <= totalTests; testNo++) {
        // cout << "Case #" << testNo << ": ";
        solve();
    }
    return 0;
}

Meteor CodeChef Solution in C++14

#include <cstdio>
#include <cctype>
using namespace std;
const int N=1511; bool ban[N][N];
int dp[N][N],n,m,k,h[N],w[N],st[N],Top;
int iut(){
	int ans=0; char c=getchar();
	while (!isdigit(c)) c=getchar();
	while (isdigit(c)) ans=ans*10+c-48,c=getchar();
	return ans;
}
void print(int ans){
	if (ans>9) print(ans/10);
	putchar(ans%10+48);
}
void Max(int &x,int y){x=x>y?x:y;}
int main(){
	n=iut(),m=iut(),k=iut();
	for (int i=1;i<=k;++i){
		int x=iut(),y=iut();
		ban[x][y]=1;
	}
	for (int i=1;i<=n;++i){
		for (int j=1;j<=m;++j)
		if (ban[i][j]) h[j]=0;
		    else ++h[j];
		Top=0;
		for (int j=1;j<=m+1;++j){
			int width=0;
			while (Top&&h[st[Top]]>=h[j]){
				width+=w[Top];
				Max(dp[i-h[st[Top]]+1][i],width);
				--Top;
			}
			st[++Top]=j,w[Top]=width+1;
		}
		for (int j=1;j<i;++j) Max(dp[j+1][i],dp[j][i]);
		for (int j=1;j<=i;++j) dp[j][i]*=i-j+1;
	}
	for (int len=1;len<n;++len)
	for (int i=1;i+len<=n;++i)
	    Max(dp[i][i+len],dp[i][i+len-1]),
	        Max(dp[i][i+len],dp[i+1][i+len]);
	for (int Q=iut();Q;--Q){
		int l=iut(),r=iut();
		print(dp[l][r]),putchar(10);
	}
	return 0;
}

Meteor CodeChef Solution in C

#include<stdio.h>
int a[1002][1002],dp[1002][1002],left[1002],right[1002],mark[1005];
int n,m,k;
struct Stack {
    int height,cnt;
}stak[1002];
inline int inp()
    {
    int noRead=0;
    char p=getchar_unlocked();
    for(;p<33;){p=getchar_unlocked();};
    while(p>32)
    {
    noRead = (noRead << 3) + (noRead << 1) + (p - '0');
    p=getchar_unlocked();
    }
    return noRead;
    };
int max(int a,int b)
{ return (a>b?a:b); }
void calc()
{
    int i,j,top,cnt,width;
    for(i=1;i<=n;i++)
    {
        for(j=1;j<=m;j++)
        {
            if(a[i][j]==0)
                a[i][j]=a[i-1][j]+1;
            else
                a[i][j]=0;
        }
    }
    
    for(i=1;i<=n;i++)// Current row we are on
    {
        top=-1;
        for(j=1;j<=m;j++)
        {
            cnt=0;
            while(top>=0 && stak[top].height>=a[i][j])
            {
                cnt+=stak[top].cnt;
                top--;
            }
            stak[++top].height=a[i][j];
            stak[top].cnt=cnt+1;
            left[j]=stak[top].cnt;
        }
        top=-1;
        for(j=m;j>=1;j--)
        {
            cnt=0;
            while(top>=0 && stak[top].height>=a[i][j])
            {
                cnt+=stak[top].cnt;
                top--;
            }
            stak[++top].height=a[i][j];
            stak[top].cnt=cnt+1;
            right[j]=stak[top].cnt;
        }
        for(j=1;j<=i;j++) mark[j]=0;
        for(j=1;j<=m;j++)// max width for each height on this row
        {
            width=left[j]+right[j]-1;
            mark[a[i][j]]=max(width,mark[a[i][j]]);
        }
        width=0;
        for(j=1;j<=i;j++)
        {
            width=max(width,mark[i-j+1]);// rectangle with height x is contained in rectangle with height x+1
            dp[j][i]=(i-j+1)*width;
        }
        for(j=i;j>=1;j--)
            dp[j][i]=max(dp[j][i],max(dp[j+1][i],dp[j][i-1]));
    }
}
int main()
{
    int x,y,q,l,h;
    n=inp();m=inp();k=inp();//scanf("%d%d%d",&n,&m,&k);
    while(k--)
    {
        x=inp();y=inp();//scanf("%d%d",&x,&y);
        a[x][y]=1;
    }
    calc();
    q=inp();//scanf("%d",&q);
    while(q--)
    {
        l=inp();h=inp();//scanf("%d%d",&l,&h);
        printf("%d\n",dp[l][h]);// =dp[l+1][r],dp[l][r-1],max rect with height(r-l+1) and base r
    }
    return 0;
}

Meteor CodeChef Solution in JAVA

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;

class Meteor {
	private void solve(InputReader in, PrintWriter out) {
		int N = in.nextInt();
		int M = in.nextInt();
		int K = in.nextInt();
		int[] X = new int[K + 1];
		int[] Y = new int[K + 1];
		for (int i = 1; i <= K; i++) {
			X[i] = in.nextInt();
			Y[i] = in.nextInt();
		}
		int Q = in.nextInt();
		int[] L = new int[Q + 1];
		int[] H = new int[Q + 1];
		for (int i = 1; i <= Q; i++) {
			L[i] = in.nextInt();
			H[i] = in.nextInt();
		}
		
		boolean[][] danger = new boolean[N + 1][M + 1];
		for (int i = 1; i <= K; i++) {
			danger[X[i]][Y[i]] = true;
		}
		
		int[][] up = new int[N + 1][M + 1];
		int[][] left = new int[N + 1][M + 1];
		int[][] right = new int[N + 1][M + 1];
		for (int i = 1; i <= N; i++) {
			for (int j = 1; j <= M; j++) {
				if (danger[i][j]) {
					up[i][j] = 0;
				} else {
					up[i][j] = up[i - 1][j] + 1;
				}
			}
		}
		
		// left[i][j] is the first column k on the left side of j, 
		// such that up[i][k] is smaller than up[i][j]
		for (int i = 1; i <= N; i++) {
			for (int j = 1; j <= M; j++) {
				left[i][j] = j - 1;
				while (left[i][j] > 0 && up[i][left[i][j]] >= up[i][j]) {
					left[i][j] = left[i][left[i][j]];
				}
			}
		}
		
		// right[i][j] is the first column k on the right side of j, 
		// such that up[i][k] is smaller than up[i][j]
		for (int i = 1; i <= N; i++) {
			for (int j = M; j >= 1; j--) {
				right[i][j] = j + 1;
				while (right[i][j] <= M && up[i][right[i][j]] >= up[i][j]) {
					right[i][j] = right[i][right[i][j]];
				}
			}
		}
		
		int[][] wMax = new int[N + 1][N + 1]; // max width
		int[][] ans = new int[N + 1][N + 1];
		for (int i = 1; i <= N; i++) {
			for (int j = 1; j <= M; j++) if (!danger[i][j]) {
				int h = up[i][j];
				wMax[i - h + 1][i] = Math.max(wMax[i - h + 1][i], right[i][j] - left[i][j] - 1);
			}
			// smaller heights are eligible for width as their parent
			for (int j = 1; j <= i; j++) {
				wMax[j][i] = Math.max(wMax[j][i], wMax[j - 1][i]);
			}
		}
		// max area from wMax
		for (int i = 1; i <= N; i++) {
			for (int j = i; j <= N; j++) {
				ans[i][j] = Math.max(ans[i][j], (j - i + 1) * wMax[i][j]);
			}
		}
		// spread out the inner ones
		for (int h = 0; h < N; h++) {
			for (int i = 1; i + h <= N; i++) {
				int j = i + h;
				if (i - 1 >= 1) ans[i - 1][j] = Math.max(ans[i - 1][j], ans[i][j]);
				if (j + 1 <= N) ans[i][j + 1] = Math.max(ans[i][j + 1], ans[i][j]);
			}
		}
		
		for (int i = 1; i <= Q; i++) {
			out.println(ans[L[i]][H[i]]);
		}
	}
	
	public static void main(String[] args) {
		InputReader in = new InputReader();
		PrintWriter out = new PrintWriter(System.out);
		Meteor solver = new Meteor();
		solver.solve(in, out);
		out.close();
	}
}

class InputReader {
	private InputStream stream = System.in;
	private byte[] buf = new byte[1024];
	private int curChar;
	private int numChars;
	public int read() {
		if (curChar >= numChars) {
			curChar = 0;
			try {
				numChars = stream.read(buf);
			} catch (IOException e) {}
			if (numChars <= 0)
				return -1;
		}
		return buf[curChar++];
	}
	public int nextInt() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		int sgn = 1;
		if (c == '-') {
			sgn = -1;
			c = read();
		}
		int res = 0;
		do {
			res *= 10;
			res += c - '0';
			c = read();
		} while (!isSpaceChar(c));
		return res * sgn;
	}
	public boolean isSpaceChar(int c) {
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	}
}

Meteor CodeChef Solution in C#

using System;
using System.Collections.Generic;
using System.Text;
using System.IO;

namespace Meteor
{
    class Program
    {
        static int N;
        static int M;
        static bool[,] Map;
        static int[,] MaxDepth;
        static int[,] MaxArea;

        static bool IsClean(int n, int m, int d)
        {
            for (int di = 0; di < d; ++di)
            {
                if (Map[n, m + di])
                    return false;
            }
            return true;
        }

        static void ExploreRectangle(int n, int m, int d, int w)
        {
            while (n + w < N && IsClean(n + w, m, d))
                ++w;
            MaxDepth[w, n] = Math.Max(MaxDepth[w, n], d);
            if (n + w < N)
            {
                for (int di = 0; di < d; ++di)
                {
                    if (!Map[n + w, m + di] && (di == 0 || Map[n + w, m + di - 1]))
                    {
                        int di2 = 1;
                        while (di + di2 < d && !Map[n + w, m + di + di2])
                            ++di2;
                        if (n == 0 || !IsClean(n - 1, m + di, di2))
                            ExploreRectangle(n, m + di, di2, w + 1);
                    }
                }
            }
        }

        static void Main(string[] args)
        {
            string[] NMK = Console.ReadLine().Split(' ');
            N = Convert.ToInt32(NMK[0]);
            M = Convert.ToInt32(NMK[1]);
            int K = Convert.ToInt32(NMK[2]);
            Map = new bool[N, M];
            for (int k = 0; k < K; ++k)
            {
                string[] xy = Console.ReadLine().Split(' ');
                int x = Convert.ToInt32(xy[0]);
                int y = Convert.ToInt32(xy[1]);
                Map[x - 1, y - 1] = true;
            }
            MaxDepth = new int[N + 1, N];
            for (int n = 0; n < N; ++n)
                for (int m = 0; m < M; ++m)
                {
                    if (!Map[n, m] && (m == 0 || Map[n, m - 1]))
                    {
                        int d = 1;
                        while (m + d < M && !Map[n, m + d])
                            ++d;
                        if (n == 0 || !IsClean(n - 1, m, d))
                            ExploreRectangle(n, m, d, 1);
                    }
                }
            for (int w = N; w > 1; --w)
                for (int n = 0; n <= N - w; ++n)
                {
                    MaxDepth[w - 1, n] = Math.Max(MaxDepth[w - 1, n], MaxDepth[w, n]);
                    MaxDepth[w - 1, n + 1] = Math.Max(MaxDepth[w - 1, n + 1], MaxDepth[w, n]);
                }
            MaxArea = new int[N + 1, N];
            for (int w = 1; w <= N; ++w)
                for (int n = 0; n <= N - w; ++n)
                    MaxArea[w, n] = w * MaxDepth[w, n];
            for (int w = 2; w <= N; ++w)
                for (int n = 0; n <= N - w; ++n)
                    MaxArea[w, n] = Math.Max(MaxArea[w, n], Math.Max(MaxArea[w - 1, n], MaxArea[w - 1, n + 1]));
            int Q = Convert.ToInt32(Console.ReadLine());
            using (var stream = Console.OpenStandardOutput())
            {
                var writer = new StreamWriter(stream);
                for (int q = 0; q < Q; ++q)
                {
                    string[] LH = Console.ReadLine().Split(' ');
                    int L = Convert.ToInt32(LH[0]);
                    int H = Convert.ToInt32(LH[1]);
                    writer.WriteLine(MaxArea[H - L + 1, L - 1]);
                }
                writer.Flush();
            }
        }
    }
}

Meteor CodeChef Solution in GO

package main

import (
	"bufio"
	"bytes"
	"fmt"
	"os"
)

func main() {

	reader := bufio.NewReader(os.Stdin)

	n, m, k := readThreeNums(reader)
	bad := make([][]int, k)

	for i := 0; i < k; i++ {
		bad[i] = readNNums(reader, 2)
	}
	q := readNum(reader)
	Q := make([][]int, q)
	for i := 0; i < q; i++ {
		Q[i] = readNNums(reader, 2)
	}
	res := solve(n, m, bad, Q)

	var buf bytes.Buffer

	for i := 0; i < len(res); i++ {
		buf.WriteString(fmt.Sprintf("%d\n", res[i]))
	}

	fmt.Print(buf.String())
}

func readUint64(bytes []byte, from int, val *uint64) int {
	i := from

	var tmp uint64
	for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
		tmp = tmp*10 + uint64(bytes[i]-'0')
		i++
	}
	*val = tmp

	return i
}

func readInt(bytes []byte, from int, val *int) int {
	i := from
	sign := 1
	if bytes[i] == '-' {
		sign = -1
		i++
	}
	tmp := 0
	for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
		tmp = tmp*10 + int(bytes[i]-'0')
		i++
	}
	*val = tmp * sign
	return i
}

func readString(reader *bufio.Reader) string {
	s, _ := reader.ReadString('\n')
	for i := 0; i < len(s); i++ {
		if s[i] == '\n' {
			return s[:i]
		}
	}
	return s
}

func readNum(reader *bufio.Reader) (a int) {
	bs, _ := reader.ReadBytes('\n')
	readInt(bs, 0, &a)
	return
}

func readTwoNums(reader *bufio.Reader) (a int, b int) {
	res := readNNums(reader, 2)
	a, b = res[0], res[1]
	return
}

func readThreeNums(reader *bufio.Reader) (a int, b int, c int) {
	res := readNNums(reader, 3)
	a, b, c = res[0], res[1], res[2]
	return
}

func readNNums(reader *bufio.Reader, n int) []int {
	res := make([]int, n)
	x := 0
	bs, _ := reader.ReadBytes('\n')
	for i := 0; i < n; i++ {
		for x < len(bs) && (bs[x] < '0' || bs[x] > '9') && bs[x] != '-' {
			x++
		}
		x = readInt(bs, x, &res[i])
	}
	return res
}

func solve(n int, m int, bad [][]int, Q [][]int) []int {
	field := make([][]int, n)
	for i := 0; i < n; i++ {
		field[i] = make([]int, m)
	}
	for _, cur := range bad {
		a, b := cur[0], cur[1]
		field[a-1][b-1] = 1
	}
	height := make([][]int, n+1)
	height[n] = make([]int, m)
	for i := n - 1; i >= 0; i-- {
		height[i] = make([]int, m)
		for j := 0; j < m; j++ {
			if field[i][j] == 0 {
				height[i][j] = 1 + height[i+1][j]
			} else {
				height[i][j] = 0
			}
		}
	}

	stack := make([]Pair, m)
	width := make([][]int, n)
	for r := 0; r < n; r++ {
		width[r] = make([]int, n+1)
		var p int
		stack[p] = Pair{height[r][0], 0}
		p++
		for c := 1; c < m; c++ {
			cur := height[r][c]
			last := c
			for p > 0 && stack[p-1].first > cur {
				width[r][r+stack[p-1].first-1] = max(width[r][r+stack[p-1].first-1], c-stack[p-1].second)
				last = stack[p-1].second
				p--
			}
			if p == 0 || stack[p-1].first < cur {
				stack[p] = Pair{height[r][c], last}
				p++
			}
		}
		for p > 0 {
			if r+stack[p-1].first-1 >= 0 {
				width[r][r+stack[p-1].first-1] = max(width[r][r+stack[p-1].first-1], m-stack[p-1].second)
			}
			p--
		}

		for rr := n - 1; rr >= r; rr-- {
			width[r][rr] = max(width[r][rr], width[r][rr+1])
		}
		for rr := r; rr < n; rr++ {
			width[r][rr] *= rr - r + 1
		}
	}

	for l := 2; l <= n; l++ {
		for r := 0; r+l-1 < n; r++ {
			width[r][r+l-1] = max(width[r][r+l-1], width[r][r+l-2])
			width[r][r+l-1] = max(width[r][r+l-1], width[r+1][r+l-1])
		}
	}

	res := make([]int, len(Q))

	for i, cur := range Q {
		a, b := cur[0], cur[1]
		a--
		b--
		res[i] = width[a][b]
	}
	return res
}

type Pair struct {
	first  int
	second int
}

func max(a, b int) int {
	if a >= b {
		return a
	}
	return b
}
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