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B.java
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81 lines (75 loc) · 2.98 KB
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import java.io.PrintStream;
import java.util.*;
import java.util.stream.Collectors;
/**
* APAC 2016 Round D Problem B: gBalloon
* Check README.md for explanation.
*/
public class Main {
public String solve(Scanner scanner) {
// return solveSmall(scanner);
return solveLarge(scanner);
}
// binary search: O(mn*log(p_max)), 1.175s to solve large...
private String solveLarge(Scanner scanner) {
int n=scanner.nextInt(), m=scanner.nextInt(), q=scanner.nextInt();
int[] wind=new int[m];
for (int i=0;i<m;i++) wind[i]=scanner.nextInt();
int[][] balloons=new int[n][2];
for (int i=0;i<n;i++)
balloons[i]=new int[] {scanner.nextInt(), scanner.nextInt()};
int start=1, end=11000;
while (start<end) {
int mid=(start+end)/2, power=0;
for (int i=0;i<n;i++) {
int p=balloons[i][0], h=balloons[i][1];
if (p==0) continue;
int need=q+1;
for (int j=0;j<m;j++) {
if (wind[j]*p>=0 || Math.abs(wind[j])*mid<Math.abs(p)) continue;
need=Math.min(need, Math.abs(h-j));
}
power+=need;
}
if (power<=q) end=mid;
else start=mid+1;
}
return start>10500?"IMPOSSIBLE":String.valueOf(start);
}
// dp, O(nmq), 164.685s to solve large..
/*private String solveSmall(Scanner scanner) {
int n=scanner.nextInt(), m=scanner.nextInt(), q=scanner.nextInt();
int[][] dp=new int[n+1][q+1];
int[] wind=new int[m];
for (int i=0;i<m;i++) wind[i]=scanner.nextInt();
int[][] balloons=new int[n][2];
for (int i=0;i<n;i++)
balloons[i]=new int[] {scanner.nextInt(), scanner.nextInt()};
for (int i=1;i<=n;i++) {
for (int j=0;j<=q;j++) {
int p=balloons[i-1][0];
if (p==0) {dp[i][j]=dp[i-1][j];continue;}
dp[i][j]=Integer.MAX_VALUE;
for (int k=0;k<m;k++) {
int delta=Math.abs(k-balloons[i-1][1]);
if (j<delta) continue;
dp[i][j]=Math.min(dp[i][j], Math.max(dp[i-1][j-delta],
wind[k]*p>=0?Integer.MAX_VALUE:
(Math.abs(p)-1)/Math.abs(wind[k])+1));
}
}
}
return dp[n][q]==Integer.MAX_VALUE?"IMPOSSIBLE":String.valueOf(dp[n][q]);
}*/
public static void main(String[] args) throws Exception {
System.setOut(new PrintStream("output.txt"));
Scanner scanner=new Scanner(System.in);
int times=scanner.nextInt();
long start=System.currentTimeMillis();
for (int t=1;t<=times;t++) {
System.out.println(String.format("Case #%d: %s", t, new Main().solve(scanner)));
}
long end=System.currentTimeMillis();
System.err.println(String.format("Time used: %.3fs", (end-start)/1000.));
}
}