Submission #394145

# Submission time Handle Problem Language Result Execution time Memory
394145 2021-04-25T21:10:45 Z Agnimandur Sails (IOI07_sails) Java 11
50 / 100
1000 ms 22240 KB
import java.io.*;
import java.util.*;
 
import java.math.*;
import java.awt.Point;
 
public class sails {
    //static final long MOD = 1000000007L;
    //static final long MOD2 = 1000000009L;
    static final long MOD = 998244353L;
    //static final long INF = 500000000000L;
    static final int INF =   1000000005;
    static final int NINF = -1000000005;
    //static final long NINF = -1000000000000000000L;
    static FastScanner sc;
    static PrintWriter pw;
    static final int[][] dirs = {{-1,0},{1,0},{0,-1},{0,1}};
    
    public static void main(String[] args) {
        sc = new FastScanner();
        pw = new PrintWriter(System.out);

        int N = sc.ni();
        int[][] sails = new int[N][2]; //H,K
        for (int i = 0; i < N; i++) {
            sails[i] = new int[]{sc.ni(),sc.ni()};
        }
        sort(sails); //increasing order of H

        BinaryIndexedTree bit = new BinaryIndexedTree(100001);
        for (int[] sail: sails) {
            int top = bit.query(sail[0]-sail[1]);
            
            //find the first index where "top" appears in the BIT.
            int lo = 0;
            int hi = 99999;
            while (lo < hi) {
                int m = (lo+hi)/2;
                if (bit.query(m) <= top) {
                    hi = m;
                } else {
                    lo = m+1;
                }
            }
            int L = lo;

            lo = 0;
            hi = 99999;
            while (lo < hi) {
                int m = (lo+hi+1)/2;
                if (bit.query(m) >= top) {
                    lo = m;
                } else {
                    hi = m-1;
                }
            }
            int R = lo;

            if (R < sail[0]-1) {
                int size = sail[1]-(sail[0]-1-R);
                bit.update(L, L+size-1);
                bit.update(R+1,sail[0]-1);
            } else {
                bit.update(L,L+sail[1]-1);
            }
        }
        long ans = 0;
        for (int i = 0; i < 100000; i++)
            ans += solve(bit.query(i));
        pw.println(ans);

        pw.close();
    }

    public static long solve(int x) {
        return (x+0L)*(x-1L)/2;
    }

    static class BinaryIndexedTree {
        public int[] arr;
      
        public BinaryIndexedTree (int N) {
          arr = new int[N+1];
        }
      
        //add k to the i-th element.
        public void add(int k, int i) {
          int node = i+1;
          while (node < arr.length) {
            arr[node] += k;
            node += node & (-node);
          }
        }

        public void update(int L, int R) {
            add(1,L);
            add(-1,R+1);
        }
      
        //sum up the elements from input[s_i] to input[e_i], from [s_i,e_i].
        public int sum(int s_i, int e_i) {
          return sum(e_i+1) - sum(s_i);
        }

        public int query(int i) {
            return sum(i+1);
        }
      
        private int sum(int i) {
          int total = 0;
          int node = i;
          while (node > 0) {
            total += arr[node];
            node -= node & (-node);
          }
          return total;
        }
    }


 
    public static void sort(int[] arr) {
        Random rgen = new Random();
        for (int i = 0; i < arr.length; i++) {
            int r = rgen.nextInt(arr.length);
            int temp = arr[i];
            arr[i] = arr[r];
            arr[r] = temp;
        }
        Arrays.sort(arr);
    }
 
    public static void sort(long[] arr) {
        Random rgen = new Random();
        for (int i = 0; i < arr.length; i++) {
            int r = rgen.nextInt(arr.length);
            long temp = arr[i];
            arr[i] = arr[r];
            arr[r] = temp;
        }
        Arrays.sort(arr);
    }
 
    //Sort an array (immune to quicksort TLE)
    public static void sort(int[][] arr) {
        Random rgen = new Random();
        for (int i = 0; i < arr.length; i++) {
            int r = rgen.nextInt(arr.length);
            int[] temp = arr[i];
            arr[i] = arr[r];
            arr[r] = temp;
        }
        Arrays.sort(arr, new Comparator<int[]>() {
            @Override
            public int compare(int[] a, int[] b) {
                return a[0]-b[0];
            }
        });
    }
    
    public static void sort(long[][] arr) {
        Random rgen = new Random();
        for (int i = 0; i < arr.length; i++) {
            int r = rgen.nextInt(arr.length);
            long[] temp = arr[i];
            arr[i] = arr[r];
            arr[r] = temp;
        }
        Arrays.sort(arr, new Comparator<long[]>() {
            @Override
            public int compare(long[] a, long[] b) {
                if (a[0] > b[0])
                    return 1;
                else if (a[0] < b[0])
                    return -1;
                else
                    return 0;
                //Ascending order.
            }
        });
    }
 
    static class FastScanner {
        BufferedReader br;
        StringTokenizer st;
 
        public FastScanner() {
            br = new BufferedReader(new InputStreamReader(System.in), 32768);
            st = null;
        }
 
        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }
 
        int ni() {
            return Integer.parseInt(next());
        }
 
        int[][] graph(int N, int[][] edges) {
            int[][] graph = new int[N][];
            int[] sz = new int[N];
            for (int[] e: edges) {
                sz[e[0]] += 1;
                sz[e[1]] += 1;
            }
            for (int i = 0; i < N; i++) {
                graph[i] = new int[sz[i]];
            }
            int[] cur = new int[N];
            for (int[] e: edges) {
                graph[e[0]][cur[e[0]]] = e[1];
                graph[e[1]][cur[e[1]]] = e[0];
                cur[e[0]] += 1;
                cur[e[1]] += 1;
            }
            return graph;
        }
 
        int[] intArray(int N, int mod) {
            int[] ret = new int[N];
            for (int i = 0; i < N; i++)
                ret[i] = ni()+mod;
            return ret;
        }
 
        long nl() {
            return Long.parseLong(next());
        }
 
        long[] longArray(int N, long mod) {
            long[] ret = new long[N];
            for (int i = 0; i < N; i++)
                ret[i] = nl()+mod;
            return ret;
        }
 
        double nd() {
            return Double.parseDouble(next());
        }
 
        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
}
# Verdict Execution time Memory Grader output
1 Correct 87 ms 9144 KB Output is correct
2 Correct 86 ms 9124 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 81 ms 9068 KB Output is correct
2 Correct 84 ms 9008 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 87 ms 8988 KB Output is correct
2 Correct 85 ms 8992 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 97 ms 8984 KB Output is correct
2 Correct 109 ms 9248 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 253 ms 12508 KB Output is correct
2 Correct 193 ms 10596 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 788 ms 14724 KB Output is correct
2 Correct 967 ms 17324 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 1088 ms 17816 KB Time limit exceeded
# Verdict Execution time Memory Grader output
1 Execution timed out 1061 ms 18176 KB Time limit exceeded
# Verdict Execution time Memory Grader output
1 Execution timed out 1068 ms 20992 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 1093 ms 21412 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 1090 ms 22240 KB Time limit exceeded
2 Halted 0 ms 0 KB -