2013
11-10

# Currency Exchange

Several currency exchange points are working in our city. Let us suppose that each point specializes in two particular currencies and performs exchange operations only with these currencies. There can be several points specializing in the same pair of currencies. Each point has its own exchange rates, exchange rate of A to B is the quantity of B you get for 1A. Also each exchange point has some commission, the sum you have to pay for your exchange operation. Commission is always collected in source currency.

For example, if you want to exchange 100 US Dollars into Russian Rubles at the exchange point, where the exchange rate is 29.75, and the commission is 0.39 you will get (100 – 0.39) * 29.75 = 2963.3975RUR.

You surely know that there are N different currencies you can deal with in our city. Let us assign unique integer number from 1 to N to each currency. Then each exchange point can be described with 6 numbers: integer A and B – numbers of currencies it exchanges, and real RAB, CAB, RBA and CBA – exchange rates and commissions when exchanging A to B and B to A respectively.

Nick has some money in currency S and wonders if he can somehow, after some exchange operations, increase his capital. Of course, he wants to have his money in currency S in the end. Help him to answer this difficult question. Nick must always have non-negative sum of money while making his operations.

The first line of the input contains four numbers: N – the number of currencies, M – the number of exchange points, S – the number of currency Nick has and V – the quantity of currency units he has. The following M lines contain 6 numbers each – the description of the corresponding exchange point – in specified above order. Numbers are separated by one or more spaces. 1<=S<=N<=100, 1<=M<=100, V is real number, 0<=V<=103.

For each point exchange rates and commissions are real, given with at most two digits after the decimal point, 10-2<=rate<=102, 0<=commission<=102.

Let us call some sequence of the exchange operations simple if no exchange point is used more than once in this sequence. You may assume that ratio of the numeric values of the sums at the end and at the beginning of any simple sequence of the exchange operations will be less than 104.

If Nick can increase his wealth, output YES, in other case output NO to the output file.

3 2 1 20.0
1 2 1.00 1.00 1.00 1.00
2 3 1.10 1.00 1.10 1.00


YES

//* @author
import java.io.File;
import java.io.FileNotFoundException;
import java.util.Arrays;
import java.util.Scanner;

//最短路径bellman_ford
public class Main {
Scanner cin = new Scanner(System.in);

int n;
int m;
int s;
double v;
Edge[] rate;
Edge[] commission;
double[] value;
public static final double EPS = 1E-8;

public void inPut() throws FileNotFoundException {
// File f = new File("D:\\ACM\\POJ解题\\1860\\test.txt");
// cin = new Scanner(f);

n = cin.nextInt();
m = cin.nextInt();
s = cin.nextInt() - 1;
v = cin.nextDouble();
int a;
int b;
double rab;
double cab;
double rba;
double cba;
rate = new Edge[m * 2];
commission = new Edge[m * 2];
value = new double[n];

for (int i = 0; i < 2 * m; i++) {
a = cin.nextInt() - 1;
b = cin.nextInt() - 1;
rab = cin.nextDouble();
cab = cin.nextDouble();
rba = cin.nextDouble();
cba = cin.nextDouble();

rate[i] = new Edge();
rate[i].s = a;
rate[i].e = b;
rate[i].v = rab;
commission[i] = new Edge();
commission[i].s = a;
commission[i].e = b;
commission[i].v = cab;

i++;
rate[i] = new Edge();
rate[i].s = b;
rate[i].e = a;
rate[i].v = rba;
commission[i] = new Edge();
commission[i].s = b;
commission[i].e = a;
commission[i].v = cba;
}

solve();
}

private void solve() {
if (bellmanFord(s, rate, commission)) {
System.out.println("YES");
} else {
System.out.println("NO");
}
}

private boolean bellmanFord(int s, Edge[] rate, Edge[] commission) {
Arrays.fill(value, 0);
value[s] = v;
boolean released;

while (value[s] <= v + EPS) {
released = false;
for (int i = 0; i < m * 2; i++) {
if (value[rate[i].e] + EPS < (value[rate[i].s] - commission[i].v)
* rate[i].v) {
value[rate[i].e] = (value[rate[i].s] - commission[i].v)
* rate[i].v;
released = true;
//     System.out.println(Arrays.toString(value));
}
}

if (!released) {
//    System.out.println(true);
return value[s] > v + EPS;
}
}
//  System.out.println(value[s]);
return true;
}

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

class Edge {
int s;
int e;
double v;
}
}

1. #include <cstdio>
#include <cstring>

const int MAXSIZE=256;
//char store[MAXSIZE];
char str1[MAXSIZE];
/*
void init(char *store) {
int i;
store['A']=’V', store['B']=’W',store['C']=’X',store['D']=’Y',store['E']=’Z';
for(i=’F';i<=’Z';++i) store =i-5;
}
*/
int main() {
//freopen("input.txt","r",stdin);
//init(store);
char *p;
while(fgets(str1,MAXSIZE,stdin) && strcmp(str1,"STARTn")==0) {
if(p=fgets(str1,MAXSIZE,stdin)) {
for(;*p;++p) {
//*p=store[*p]
if(*p<’A’ || *p>’Z') continue;
if(*p>’E') *p=*p-5;
else *p=*p+21;
}
printf("%s",str1);
}
fgets(str1,MAXSIZE,stdin);
}
return 0;
}

2. 题本身没错，但是HDOJ放题目的时候，前面有个题目解释了什么是XXX定律。
这里直接放了这个题目，肯定没几个人明白是干啥