题意:
有一个公司由于某个病毒使公司赢亏数据丢失,但该公司每月的 赢亏是一个定数,要么一个月赢利s,要么一月亏d。现在ACM只知道该公司每五个月有一个赢亏报表,而且每次报表赢利情况都为亏。在一年中这样的报表总共有8次(1到5,2到6,…,8到12),现在要编一个程序确定当赢s和亏d给出,并满足每张报表为亏的情况下,全年公司最高可赢利多少,若存在,则输出多多额,若不存在,输出”Deficit”。
思路: 暴力搜索,因为12个月,每个月只存在两种状态,要么赢利要么亏,所以有2^12种状态,在这些状态中再过滤出8次报表都为负的状态,然后更新一波最大值即可。
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.Map;
import java.util.StringTokenizer;
public class Main{
String INPUT = "./data/judge/201712/P2586.txt";
public static void main(String[] args) throws IOException {
new Main().run();
}
int[] stateToWindow(int state) {
int[] window = new int[12];
for (int i = 0; i < 12; ++i) {
window[i] = (state >> i) & 1;
}
return window;
}
boolean valid(double s, double d, int[] window) {
double sum = 0;
for (int i = 0; i < 5; ++i) {
if (window[i] == 1) {
sum += s;
}
else {
sum += d;
}
}
if (sum >= 0) return false;
for (int i = 1; i + 4 < 12; ++i) {
if (window[i - 1] == 1) sum -= s;
else sum -= d;
if (window[i + 4] == 1) sum += s;
else sum += d;
if (sum >= 0) return false;
}
return true;
}
double total(double s, double d, int[] window) {
double sum = 0;
for (int i = 0; i < 12; ++i) {
if (window[i] == 1) sum += s;
else sum += d;
}
return sum;
}
void read() {
while(more()) {
double s = nd();
double d = nd();
d = -d;
double max = 0;
for (int i = 0; i < 1 << 12; ++i) {
int[] window = stateToWindow(i);
if (valid(s, d, window)) {
max = Math.max(max, total(s, d, window));
}
}
if (max > 0) out.printf("%.0f\n", max);
else {
out.println("Deficit");
}
}
}
FastScanner in;
PrintWriter out;
void run() throws IOException {
boolean oj;
try {
oj = ! System.getProperty("user.dir").equals("F:\\oxygen_workspace\\Algorithm");
} 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 D{
public static void pp(int[][] board, int row, int col) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < row; ++i) {
for (int j = 0; j < col; ++j) {
sb.append(board[i][j] + (j + 1 == col ? "\n" : " "));
}
}
System.out.println(sb.toString());
}
public static void pp(char[][] board, int row, int col) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < row; ++i) {
for (int j = 0; j < col; ++j) {
sb.append(board[i][j] + (j + 1 == col ? "\n" : " "));
}
}
System.out.println(sb.toString());
}
}
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);
}
}
}
static class Num{
public static <K> void inc(Map<K, Integer> mem, K k) {
if (!mem.containsKey(k)) mem.put(k, 0);
mem.put(k, mem.get(k) + 1);
}
}
}