結果

問題 No.1865 Make Cycle
ユーザー shojin_proshojin_pro
提出日時 2022-03-04 23:56:00
言語 Java21
(openjdk 21)
結果
AC  
実行時間 979 ms / 3,000 ms
コード長 8,401 bytes
コンパイル時間 3,428 ms
コンパイル使用メモリ 81,556 KB
実行使用メモリ 79,156 KB
最終ジャッジ日時 2024-07-18 22:52:06
合計ジャッジ時間 21,485 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 734 ms
75,956 KB
testcase_01 AC 529 ms
69,416 KB
testcase_02 AC 749 ms
75,348 KB
testcase_03 AC 410 ms
66,408 KB
testcase_04 AC 657 ms
71,488 KB
testcase_05 AC 730 ms
73,384 KB
testcase_06 AC 775 ms
74,824 KB
testcase_07 AC 655 ms
73,192 KB
testcase_08 AC 802 ms
72,504 KB
testcase_09 AC 687 ms
71,844 KB
testcase_10 AC 746 ms
72,268 KB
testcase_11 AC 714 ms
74,132 KB
testcase_12 AC 697 ms
71,824 KB
testcase_13 AC 707 ms
72,100 KB
testcase_14 AC 593 ms
67,448 KB
testcase_15 AC 774 ms
73,960 KB
testcase_16 AC 828 ms
77,008 KB
testcase_17 AC 601 ms
72,664 KB
testcase_18 AC 711 ms
73,676 KB
testcase_19 AC 979 ms
79,156 KB
testcase_20 AC 52 ms
50,444 KB
testcase_21 AC 53 ms
50,356 KB
testcase_22 AC 55 ms
50,440 KB
testcase_23 AC 53 ms
50,500 KB
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ソースコード

diff # 

import java.util.*;
import java.io.*;

public class Main {
    static FastScanner sc = new FastScanner(System.in);
    static PrintWriter pw = new PrintWriter(System.out);
    static StringBuilder sb = new StringBuilder();
    static long mod = (long) 1e9 + 7;

    public static void main(String[] args) throws Exception {
        solve();
        pw.flush();
    }

    public static void solve() {
        int N = sc.nextInt();
        int Q = sc.nextInt();
        ArrayList<int[]> arr = new ArrayList<>();
        for(int i = 0; i < Q; i++){
            arr.add(new int[]{sc.nextInt()-1,sc.nextInt()-1});
        }
        int left = 1;
        int right = Q+1;
        boolean ok = false;
        while(right - left > 1){
            SCC scc = new SCC(N);
            int mid = (right+left)/2;
            for(int i = 0; i < mid; i++){
                scc.addEdge(arr.get(i)[0],arr.get(i)[1]);
            }
            int[][] dp = scc.build();
            if(dp.length != N){
                right = mid;
                ok = true;
            }else{
                left = mid;
            }
        }
        pw.println(ok ? right : -1);
    }

    static class GeekInteger {
        public static void save_sort(int[] array) {
            shuffle(array);
            Arrays.sort(array);
        }

        public static int[] shuffle(int[] array) {
            int n = array.length;
            Random random = new Random();
            for (int i = 0, j; i < n; i++) {
                j = i + random.nextInt(n - i);
                int randomElement = array[j];
                array[j] = array[i];
                array[i] = randomElement;
            }
            return array;
        }

        public static void save_sort(long[] array) {
            shuffle(array);
            Arrays.sort(array);
        }

        public static long[] shuffle(long[] array) {
            int n = array.length;
            Random random = new Random();
            for (int i = 0, j; i < n; i++) {
                j = i + random.nextInt(n - i);
                long randomElement = array[j];
                array[j] = array[i];
                array[i] = randomElement;
            }
            return array;
        }

    }
}

/**
 * @verified https://atcoder.jp/contests/practice2/tasks/practice2_g
 */
class SCC {

    static class Edge {
        int from, to;
        public Edge(int from, int to) {
            this.from = from; this.to = to;
        }
    }

    final int n;
    int m;
    final java.util.ArrayList<Edge> unorderedEdges;
    final int[] start;
    final int[] ids;
    boolean hasBuilt = false;

    public SCC(int n) {
        this.n = n;
        this.unorderedEdges = new java.util.ArrayList<>();
        this.start = new int[n + 1];
        this.ids = new int[n];
    }

    public void addEdge(int from, int to) {
        rangeCheck(from);
        rangeCheck(to);
        unorderedEdges.add(new Edge(from, to));
        start[from + 1]++;
        this.m++;
    }

    public int id(int i) {
        if (!hasBuilt) {
            throw new UnsupportedOperationException(
                "Graph hasn't been built."
            );
        }
        rangeCheck(i);
        return ids[i];
    }
    
    public int[][] build() {
        for (int i = 1; i <= n; i++) {
            start[i] += start[i - 1];
        }
        Edge[] orderedEdges = new Edge[m];
        int[] count = new int[n + 1];
        System.arraycopy(start, 0, count, 0, n + 1);
        for (Edge e : unorderedEdges) {
            orderedEdges[count[e.from]++] = e;
        }
        int nowOrd = 0;
        int groupNum = 0;
        int k = 0;
        // parent
        int[] par = new int[n];
        int[] vis = new int[n];
        int[] low = new int[n];
        int[] ord = new int[n];
        java.util.Arrays.fill(ord, -1);
        // u = lower32(stack[i]) : visiting vertex
        // j = upper32(stack[i]) : jth child
        long[] stack = new long[n];
        // size of stack
        int ptr = 0;
        // non-recursional DFS
        for (int i = 0; i < n; i++) {
            if (ord[i] >= 0) continue;
            par[i] = -1;
            // vertex i, 0th child.
            stack[ptr++] = 0l << 32 | i;
            // stack is not empty
            while (ptr > 0) {
                // last element
                long p = stack[--ptr];
                // vertex
                int u = (int) (p & 0xffff_ffffl);
                // jth child
                int j = (int) (p >>> 32);
                if (j == 0) { // first visit
                    low[u] = ord[u] = nowOrd++;
                    vis[k++] = u;
                }
                if (start[u] + j < count[u]) { // there are more children
                    // jth child
                    int to = orderedEdges[start[u] + j].to;
                    // incr children counter
                    stack[ptr++] += 1l << 32;
                    if (ord[to] == -1) { // new vertex
                        stack[ptr++] = 0l << 32 | to;
                        par[to] = u;
                    } else { // backward edge
                        low[u] = Math.min(low[u], ord[to]);
                    }
                } else { // no more children (leaving)
                    while (j --> 0) {
                        int to = orderedEdges[start[u] + j].to;
                        // update lowlink
                        if (par[to] == u) low[u] = Math.min(low[u], low[to]);
                    }
                    if (low[u] == ord[u]) { // root of a component
                        while (true) { // gathering verticies
                            int v = vis[--k];
                            ord[v] = n;
                            ids[v] = groupNum;
                            if (v == u) break;
                        }
                        groupNum++; // incr the number of components
                    }
                }
            }
        }
        for (int i = 0; i < n; i++) {
            ids[i] = groupNum - 1 - ids[i];
        }
        
        int[] counts = new int[groupNum];
        for (int x : ids) counts[x]++;
        int[][] groups = new int[groupNum][];
        for (int i = 0; i < groupNum; i++) {
            groups[i] = new int[counts[i]];
        }
        for (int i = 0; i < n; i++) {
            int cmp = ids[i];
            groups[cmp][--counts[cmp]] = i;
        }
        hasBuilt = true;
        return groups;
    }

    private void rangeCheck(int i) {
        if (i < 0 || i >= n) {
            throw new IndexOutOfBoundsException(
                String.format("Index %d out of bounds for length %d", i, n)
            );
        }
    }
}

class FastScanner {
    private BufferedReader reader = null;
    private StringTokenizer tokenizer = null;

    public FastScanner(InputStream in) {
        reader = new BufferedReader(new InputStreamReader(in));
        tokenizer = null;
    }

    public FastScanner(FileReader in) {
        reader = new BufferedReader(in);
        tokenizer = null;
    }

    public String next() {
        if (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    public String nextLine() {
        if (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                return reader.readLine();
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken("\n");
    }

    public long nextLong() {
        return Long.parseLong(next());
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }

    public double nextDouble() {
        return Double.parseDouble(next());
    }

    public String[] nextArray(int n) {
        String[] a = new String[n];
        for (int i = 0; i < n; i++)
            a[i] = next();
        return a;
    }

    public int[] nextIntArray(int n) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++)
            a[i] = nextInt();
        return a;
    }

    public long[] nextLongArray(int n) {
        long[] a = new long[n];
        for (int i = 0; i < n; i++)
            a[i] = nextLong();
        return a;
    }
}
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