CD UVA 624


You have a long drive by car ahead. You have a tape recorder, but unfortunately your best music is on CDs. You need to have it on tapes so the problem to solve is: you have a tape N minutes long. How to choose tracks from CD to get most out of tape space and have as short unused space as possible.


Assumptions:

  • number of tracks on the CD. does not exceed 20
  • no track is longer than N minutes
  • tracks do not repeat
  • length of each track is expressed as an integer number
  • N is also integer

Program should find the set of tracks which fills the tape best and print it in the same sequence as the tracks are stored on the CD

Input 

Any number of lines. Each one contains value N, (after space) number of tracks and durations of the tracks. For example from first line in sample data: N=5, number of tracks=3, first track lasts for 1 minute, second one 3 minutes, next one 4 minutes

Output 

Set of tracks (and durations) which are the correct solutions and string ``sum:" and sum of duration times.

Sample Input 

5 3 1 3 4
10 4 9 8 4 2
20 4 10 5 7 4
90 8 10 23 1 2 3 4 5 7
45 8 4 10 44 43 12 9 8 2

Sample Output 

1 4 sum:5
8 2 sum:10
10 5 4 sum:19
10 23 1 2 3 4 5 7 sum:55
4 10 12 9 8 2 sum:45
两种写法都对,这题要用个深搜,把路径输出!可以转化成01背包用题 ,不错的DP入门题 !
/*
#include<stdio.h>
#include<iostream>
using namespace std; 
int c[35],w[35],f[430000][30],visit[35];
void print(int i,int j)
{

	if(!j)return ;
	if(f[i][j] == f[i][j-1]) print(i, j-1);
    else
    {
        print(i-c[j-1],j-1 );
        printf("%d ", c[j-1]);
    }

}
int main()
{
	int i,j,n,v,m;
	while(scanf("%d%d",&m,&n)!=EOF)
	{
		for(i=0;i<=m;i++)
		for( j=0;j<=n;j++)
			f[i][j]=0;
		for(i=0;i<n;i++)
		{
			scanf("%d",c+i);
			w[i]=c[i];
		}	
		for (i=1;i<=n;i++) 
		{
			for (v=1; v <= m; v++)
			{
				if(v<c[i-1])
					f[v][i]=f[v][i-1];
				if(v>=c[i-1])
				f[v][i] = (f[v][i-1] > f[v - c[i-1]][i-1] + w[i-1]?f[v][i-1] : f[v - c[i-1]][i-1] + w[i-1]);
			}
		
		}
	
		v=m;
		
		print(m,n);
			printf("sum:%d\n",f[m][n]);
	}
	return 0;
}
*/
#include<stdio.h>
#include<iostream>
using namespace std;
int c[35],w[35],f[430000][30],visit[35];
void print(int i,int j)
{

	if(!j)return ;
	if(f[i][j] == f[i][j-1]) print(i, j-1);
    else
    {
        print(i-c[j-1],j-1 );
        printf("%d ", c[j-1]);
    }

}
int main()
{
	int i,j,n,v,m;
	while(scanf("%d%d",&m,&n)!=EOF)
	{
		for(i=0;i<=m;i++)
		for( j=0;j<=n;j++)
			f[i][j]=0;
		for(i=0;i<n;i++)
		{
			scanf("%d",c+i);
			w[i]=c[i];
		}	
		for (i=1;i<=n;i++) 
		{
			for (v=m; v>=0; v--)
			{
				if(v<c[i-1])
					f[v][i]=f[v][i-1];
				if(v>=c[i-1])
				f[v][i] = (f[v][i-1] > f[v - c[i-1]][i-1] + w[i-1]?f[v][i-1] : f[v - c[i-1]][i-1] + w[i-1]);
			}
		
		}
	
		v=m;
			for(i=0;i<30;i++)
				visit[i]=0;
			
			print(v,n);
			printf("sum:%d\n",f[m][n]);
	}
	return 0;
}



C:\Users\Administrator>cd "C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v12.1\extras\demo_suite" C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v12.1\extras\demo_suite>.\deviceQuery.exe .\deviceQuery.exe Starting... CUDA Device Query (Runtime API) version (CUDART static linking) Detected 2 CUDA Capable device(s) Device 0: "NVIDIA GeForce RTX 3080 Ti" CUDA Driver Version / Runtime Version 12.6 / 12.1 CUDA Capability Major/Minor version number: 8.6 Total amount of global memory: 12288 MBytes (12884377600 bytes) (80) Multiprocessors, (128) CUDA Cores/MP: 10240 CUDA Cores GPU Max Clock rate: 1665 MHz (1.66 GHz) Memory Clock rate: 9501 Mhz Memory Bus Width: 384-bit L2 Cache Size: 6291456 bytes Maximum Texture Dimension Size (x,y,z) 1D=(131072), 2D=(131072, 65536), 3D=(16384, 16384, 16384) Maximum Layered 1D Texture Size, (num) layers 1D=(32768), 2048 layers Maximum Layered 2D Texture Size, (num) layers 2D=(32768, 32768), 2048 layers Total amount of constant memory: zu bytes Total amount of shared memory per block: zu bytes Total number of registers available per block: 65536 Warp size: 32 Maximum number of threads per multiprocessor: 1536 Maximum number of threads per block: 1024 Max dimension size of a thread block (x,y,z): (1024, 1024, 64) Max dimension size of a grid size (x,y,z): (2147483647, 65535, 65535) Maximum memory pitch: zu bytes Texture alignment: zu bytes Concurrent copy and kernel execution: Yes with 1 copy engine(s) Run time limit on kernels: Yes Integrated GPU sharing Host Memory: No Support host page-locked memory mapping: Yes Alignment requirement for Surfaces: Yes Device has ECC support: Disabled CUDA Device Driver Mode (TCC or WDDM): WDDM (Windows Display Driver Model) Device supports Unified Addressing (UVA): Yes Device supports Compute Preemption: Yes Supports Cooperative Kernel Launch: Yes Supports MultiDevice Co-op Kernel Launch: No Device PCI Domain ID / Bus ID / location ID: 0 / 26 / 0 Compute Mode: < Default (multiple host threads can use ::cudaSetDevice() with device simultaneously) > Device 1: "NVIDIA GeForce RTX 3080 Ti" CUDA Driver Version / Runtime Version 12.6 / 12.1 CUDA Capability Major/Minor version number: 8.6 Total amount of global memory: 12287 MBytes (12884246528 bytes) (80) Multiprocessors, (128) CUDA Cores/MP: 10240 CUDA Cores GPU Max Clock rate: 1665 MHz (1.66 GHz) Memory Clock rate: 9501 Mhz Memory Bus Width: 384-bit L2 Cache Size: 6291456 bytes Maximum Texture Dimension Size (x,y,z) 1D=(131072), 2D=(131072, 65536), 3D=(16384, 16384, 16384) Maximum Layered 1D Texture Size, (num) layers 1D=(32768), 2048 layers Maximum Layered 2D Texture Size, (num) layers 2D=(32768, 32768), 2048 layers Total amount of constant memory: zu bytes Total amount of shared memory per block: zu bytes Total number of registers available per block: 65536 Warp size: 32 Maximum number of threads per multiprocessor: 1536 Maximum number of threads per block: 1024 Max dimension size of a thread block (x,y,z): (1024, 1024, 64) Max dimension size of a grid size (x,y,z): (2147483647, 65535, 65535) Maximum memory pitch: zu bytes Texture alignment: zu bytes Concurrent copy and kernel execution: Yes with 1 copy engine(s) Run time limit on kernels: Yes Integrated GPU sharing Host Memory: No Support host page-locked memory mapping: Yes Alignment requirement for Surfaces: Yes Device has ECC support: Disabled CUDA Device Driver Mode (TCC or WDDM): WDDM (Windows Display Driver Model) Device supports Unified Addressing (UVA): Yes Device supports Compute Preemption: Yes Supports Cooperative Kernel Launch: Yes Supports MultiDevice Co-op Kernel Launch: No Device PCI Domain ID / Bus ID / location ID: 0 / 104 / 0 Compute Mode: < Default (multiple host threads can use ::cudaSetDevice() with device simultaneously) > deviceQuery, CUDA Driver = CUDART, CUDA Driver Version = 12.6, CUDA Runtime Version = 12.1, NumDevs = 2, Device0 = NVIDIA GeForce RTX 3080 Ti, Device1 = NVIDIA GeForce RTX 3080 Ti Result = PASS C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\v12.1\extras\demo_suite>
最新发布
06-07
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