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DISCO presents ディスカバリーチャンネル コードコンテスト2016 本戦 C - 01文字列

AtCoder 競技プログラミング

解法

ある位置を決めて、そこから前を操作1で、そこから後ろを操作2で作ることを考えます。決め打ちすべき位置はセグメントの隙間だけで良く、置換操作は位置の前後のセグメントの数で決めることができます。置換操作の回数をできるだけ少なくしたいので、決め打ちした位置の前後のセグメントで共通化出来る置換操作は共通化してしまいましょう。

コード

import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.NoSuchElementException;

/*
                   _ooOoo_
                  o8888888o
                  88" . "88
                  (| -_- |)
                  O\  =  /O
               ____/`---'\____
             .'  \\|     |//  `.
            /  \\|||  :  |||//  \
           /  _||||| -:- |||||-  \
           |   | \\\  -  /// |   |
           | \_|  ''\---/''  |   |
           \  .-\__  `-`  ___/-. /
         ___`. .'  /--.--\  `. . __
      ."" '<  `.___\_<|>_/___.'  >'"".
     | | :  `- \`.;`\ _ /`;.`/ - ` : | |
     \  \ `-.   \_ __\ /__ _/   .-` /  /
======`-.____`-.___\_____/___.-`____.-'======
                   `=---='
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
            pass System Test!
*/

public class Main {
  private static class Task {
    long A, B, C;
    String s;

    void solve(FastScanner in, PrintWriter out) throws Exception {
      A = in.nextInt();
      B = in.nextInt();
      C = in.nextInt();

      s = in.next();
      char[] S = s.toCharArray();
      int N = S.length;
      ArrayList<Integer> heads = new ArrayList<>();
      heads.add(0);
      for (int i = 1; i < N; i++) {
        if (S[i - 1] == S[i]) continue;
        heads.add(i);
      }
      heads.add(N);

      if (heads.size() == 2) {
        long cost0 = A * N;
        long cost1 = B * N;
        if (S[0] == '1') cost0 += C;
        else cost1 += C;
        out.println(Math.min(cost0, cost1));
        return;
      }

      long ans = Long.MAX_VALUE;
      for (int i = 0; i < heads.size(); i++) {
        int frontSegments = i;
        int backSegments = heads.size() - 1 - i;
        int pos = heads.get(i);

        int replace;
        if (i == 0) {
          replace = backSegments - 1;
          if (S[N - 1] == '0') replace++;
        } else if (i == heads.size() - 1) {
          replace = frontSegments - 1;
          if (S[0] == '1') replace++;
        } else {
          int back = backSegments - 1;
          if (S[N - 1] == '0') back++;
          int front = frontSegments - 1;
          if (S[0] == '1') front++;
          replace = Math.max(front, back);
          if (front > 0 && back > 0 && front % 2 != back % 2) {
            replace++;
          }
        }

        long cost = C * replace;
        cost += A * pos;
        cost += B * (N - pos);
        if (ans > cost) ans = cost;
      }
      out.println(ans);
    }
  }

  /**
   * ここから下はテンプレートです。
   */
  public static void main(String[] args) throws Exception {
    OutputStream outputStream = System.out;
    FastScanner in = new FastScanner();
    PrintWriter out = new PrintWriter(outputStream);
    Task solver = new Task();
    solver.solve(in, out);
    out.close();
  }
  private static class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int bufferLength = 0;

    private boolean hasNextByte() {
      if (ptr < bufferLength) {
        return true;
      } else {
        ptr = 0;
        try {
          bufferLength = in.read(buffer);
        } catch (IOException e) {
          e.printStackTrace();
        }
        if (bufferLength <= 0) {
          return false;
        }
      }
      return true;
    }

    private int readByte() {
      if (hasNextByte()) return buffer[ptr++];
      else return -1;
    }

    private static boolean isPrintableChar(int c) {
      return 33 <= c && c <= 126;
    }

    private void skipUnprintable() {
      while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;
    }

    boolean hasNext() {
      skipUnprintable();
      return hasNextByte();
    }

    public String next() {
      if (!hasNext()) throw new NoSuchElementException();
      StringBuilder sb = new StringBuilder();
      int b = readByte();
      while (isPrintableChar(b)) {
        sb.appendCodePoint(b);
        b = readByte();
      }
      return sb.toString();
    }

    long nextLong() {
      if (!hasNext()) throw new NoSuchElementException();
      long n = 0;
      boolean minus = false;
      int b = readByte();
      if (b == '-') {
        minus = true;
        b = readByte();
      }
      if (b < '0' || '9' < b) {
        throw new NumberFormatException();
      }
      while (true) {
        if ('0' <= b && b <= '9') {
          n *= 10;
          n += b - '0';
        } else if (b == -1 || !isPrintableChar(b)) {
          return minus ? -n : n;
        } else {
          throw new NumberFormatException();
        }
        b = readByte();
      }
    }

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

    double[] nextDoubleArray(int n) {
      double[] array = new double[n];
      for (int i = 0; i < n; i++) {
        array[i] = nextDouble();
      }
      return array;
    }

    double[][] nextDoubleMap(int n, int m) {
      double[][] map = new double[n][];
      for (int i = 0; i < n; i++) {
        map[i] = nextDoubleArray(m);
      }
      return map;
    }

    public int nextInt() {
      return (int) nextLong();
    }

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

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

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

    public char[][] nextCharMap(int n) {
      char[][] array = new char[n][];
      for (int i = 0; i < n; i++) array[i] = next().toCharArray();
      return array;
    }

    public int[][] nextIntMap(int n, int m) {
      int[][] map = new int[n][];
      for (int i = 0; i < n; i++) {
        map[i] = nextIntArray(m);
      }
      return map;
    }
  }
}