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社区首页 >专栏 >挑战程序竞赛系列(67):4.7字符串匹配(2)

挑战程序竞赛系列(67):4.7字符串匹配(2)

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发布2019-05-26 09:20:48
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发布2019-05-26 09:20:48
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文章被收录于专栏:机器学习入门机器学习入门

版权声明:本文为博主原创文章,未经博主允许不得转载。 https://cloud.tencent.com/developer/article/1434610

挑战程序竞赛系列(67):4.7字符串匹配(2)

传送门:Codeforces 25E: Test


题意:

出题:众所周知,程序竞赛测试数据越变态越好玩。已知3个字符串会使选手的程序出错,出题者想构造一个超级变态数据同时包含这3个字符串。求该母串最小长度。

依旧是滚动hash,如书上的解释:

采用了LONG 64位无符号hash映射,此处之所以比传统的overlap算法快,是因为hash算法能够在O(1)的时间内,得到两个比较区间的hash值。

hs[i] : c[1] * B^(i - 1) + c[2] * B^(i - 2) + ... + c[i] * B^0

hs[e] : c[1] * B^(e - 1) + c[2] * B^(e - 2) + ... + c[e] * B^0
hs[b] : c[1] * B^(b - 1) + c[2] * B^(b - 2) + ... + c[b] * B^0

任意某个区间的hash值为:
c[b+1] * B^(e - b - 1) + c[b+2] * B^(e - b - 2) + ... + c[e] * B^0

所以:
上述表达式 = hs[e] - hs[b] * B^(e - b);

代码如下:

import java.io.BufferedReader;
import java.io.File;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Random;
import java.util.StringTokenizer;

public class Main {

    String INPUT = "./data/judge/201709/C025E.txt";

    public static void main(String[] args) throws IOException {
        new Main().run();
    }

    static final int[][] CIR = {{0, 1, 2},{0, 2, 1},{1, 0, 2},{1, 2, 0},{2, 0, 1},{2, 1, 0}};
    static final int INF = 0x3f3f3f3f;

    class Hash{
        final long BL;
        final long BR;
        final long ML;
        final long MR;
        final long[] psl;
        final long[] psr;

        Hash(int n){
            Random r = new Random(System.nanoTime());
            BL = (long) (1e9 + r.nextInt((int)(1e9)));
            BR = (long) (1e9 + r.nextInt((int)(1e9)));
            ML = (long) (1e9 + r.nextInt((int)(1e9)));
            MR = (long) (1e9 + r.nextInt((int)(1e9)));
            psl = new long[n + 1];
            psr = new long[n + 1];
            for (int i = 0; i <= n; ++i) psl[i] = (i == 0 ? 1 : psl[i - 1] * BL) % ML;
            for (int i = 0; i <= n; ++i) psr[i] = (i == 0 ? 1 : psr[i - 1] * BR) % MR;
        }

        long[] build(char[] cs) {
            int n = cs.length;
            long[] hs = new long[n + 1];
            long l = 0;
            long r = 0;
            for (int i = 0; i < n; ++i) {
                l = (l * BL + cs[i]) % ML;
                r = (r * BR + cs[i]) % MR;
                if (l < 0) l += ML;
                if (r < 0) r += MR;
                hs[i + 1] = l << 32 | r;
            }
            return hs;
        }

        long get(long[] hs, int b, int e) {
            long el = hs[e] >>> 32;
            long er = hs[e] & 0xffffffffL;
            long bl = hs[b] >>> 32;
            long br = hs[b] & 0xffffffffL;
            long l = el - bl * psl[e - b] % ML;
            long r = er - br * psr[e - b] % MR;
            if (l < 0) l += ML;
            if (r < 0) r += MR;
            return l << 32 | r;
        }
    }

    int overlap(long[] ah, long[] bh, int al, int bl, Hash h) {
        int l = -1;
        for (int i = 0; i <= Math.min(al, bl); ++i) {
            if (h.get(ah, al - i, al) == h.get(bh, 0, i)) l = i;
        }
        return l == -1 ? 0 : l;
    }

    // al > bl
    boolean contains(long[] ah, long[] bh, int al, int bl, Hash h) {
        if (al < bl) return false;
        long key = h.get(bh, 0, bl);
        for (int i = bl; i <= al; ++i) {
            if (key == h.get(ah, i - bl, i)) return true;
        }
        return false;
    }

    int solveContains(long[] ah, long[] bh, long ch[], int al, int bl, int cl, Hash hash) {
        if (contains(ah, bh, al, bl, hash) && contains(bh, ch, bl, cl, hash)) {
            return al;
        }
        else if (contains(ah, bh, al, bl, hash)) {
            return Math.min(al + cl -  overlap(ah, ch, al, cl, hash),
                    al + cl - overlap(ch, ah, cl, al, hash));
        }
        return INF;
    }

    class Pair{
        int len;
        long[] hs;
        Pair(int len, long[] hs){
            this.len = len;
            this.hs  = hs;
        }
    }


    int solve(String s1, String s2, String s3) {
        int al = s1.length();
        int bl = s2.length();
        int cl = s3.length();
        Hash hash = new Hash(Math.max(al, Math.max(bl, cl)));
        long[] ah = hash.build(s1.toCharArray());
        long[] bh = hash.build(s2.toCharArray());
        long[] ch = hash.build(s3.toCharArray());

        Pair[] p = new Pair[3];
        p[0] = new Pair(al, ah);
        p[1] = new Pair(bl, bh);
        p[2] = new Pair(cl, ch);

        int min = INF;
        for (int i = 0; i < CIR.length; ++i) {
            min = Math.min(min, solveContains(p[CIR[i][0]].hs, p[CIR[i][1]].hs, p[CIR[i][2]].hs, 
                    p[CIR[i][0]].len, p[CIR[i][1]].len, p[CIR[i][2]].len, hash));
        }

        for (int i = 0; i < CIR.length; ++i) {
            int ans = al + bl + cl;
            ans -= overlap(p[CIR[i][0]].hs, p[CIR[i][1]].hs, p[CIR[i][0]].len, p[CIR[i][1]].len, hash);
            ans -= overlap(p[CIR[i][1]].hs, p[CIR[i][2]].hs, p[CIR[i][1]].len, p[CIR[i][2]].len, hash);
            min = Math.min(min, ans);
        }

        return min;
    }

    void read() {
        String s1 = ns();
        String s2 = ns();
        String s3 = ns();

        out.println(solve(s1, s2, s3));
    }

    FastScanner in;
    PrintWriter out;

    void run() throws IOException {
        boolean oj;
        try {
            oj = ! System.getProperty("user.dir").equals("F:\\java_workspace\\leetcode");
        } catch (Exception e) {
            oj = System.getProperty("ONLINE_JUDGE") != null;
        }

        InputStream is = oj ? System.in : new FileInputStream(new File(INPUT));
        in = new FastScanner(is);
        out = new PrintWriter(System.out);
        long s = System.currentTimeMillis();
        read();
        out.flush();
        if (!oj){
            System.out.println("[" + (System.currentTimeMillis() - s) + "ms]");
        }
    }

    public boolean more(){
        return in.hasNext();
    }

    public int ni(){
        return in.nextInt();
    }

    public long nl(){
        return in.nextLong();
    }

    public double nd(){
        return in.nextDouble();
    }

    public String ns(){
        return in.nextString();
    }

    public char nc(){
        return in.nextChar();
    }

    class FastScanner {
        BufferedReader br;
        StringTokenizer st;
        boolean hasNext;

        public FastScanner(InputStream is) throws IOException {
            br = new BufferedReader(new InputStreamReader(is));
            hasNext = true;
        }

        public String nextToken() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (Exception e) {
                    hasNext = false;
                    return "##";
                }
            }
            return st.nextToken();
        }

        String next = null;
        public boolean hasNext(){
            next = nextToken();
            return hasNext;
        }

        public int nextInt() {
            if (next == null){
                hasNext();
            }
            String more = next;
            next = null;
            return Integer.parseInt(more);
        }

        public long nextLong() {
            if (next == null){
                hasNext();
            }
            String more = next;
            next = null;
            return Long.parseLong(more);
        }

        public double nextDouble() {
            if (next == null){
                hasNext();
            }
            String more = next;
            next = null;
            return Double.parseDouble(more);
        }

        public String nextString(){
            if (next == null){
                hasNext();
            }
            String more = next;
            next = null;
            return more;
        }

        public char nextChar(){
            if (next == null){
                hasNext();
            }
            String more = next;
            next = null;
            return more.charAt(0);
        }
    }

    static class ArrayUtils {

        public static void fill(int[][] f, int value) {
            for (int i = 0; i < f.length; ++i) {
                Arrays.fill(f[i], value);
            }
        }

        public static void fill(int[][][] f, int value) {
            for (int i = 0; i < f.length; ++i) {
                fill(f[i], value);
            }
        }

        public static void fill(int[][][][] f, int value) {
            for (int i = 0; i < f.length; ++i) {
                fill(f[i], value);
            }
        }
    }
}
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原始发表:2017年09月15日,如有侵权请联系 cloudcommunity@tencent.com 删除

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