poj1364(91/600)

本文介绍了一个有趣的问题:国王需要基于给定的整数序列和子序列的约束条件,判断是否存在这样的序列,使得所有决策约束都能被满足。文章通过图论中的最短路径算法解决了这一问题。

King
Time Limit: 1000MS Memory Limit: 10000K
Total Submissions: 13778 Accepted: 4887
Description

Once, in one kingdom, there was a queen and that queen was expecting a baby. The queen prayed: “If my child was a son and if only he was a sound king.” After nine months her child was born, and indeed, she gave birth to a nice son.
Unfortunately, as it used to happen in royal families, the son was a little retarded. After many years of study he was able just to add integer numbers and to compare whether the result is greater or less than a given integer number. In addition, the numbers had to be written in a sequence and he was able to sum just continuous subsequences of the sequence.

The old king was very unhappy of his son. But he was ready to make everything to enable his son to govern the kingdom after his death. With regards to his son’s skills he decided that every problem the king had to decide about had to be presented in a form of a finite sequence of integer numbers and the decision about it would be done by stating an integer constraint (i.e. an upper or lower limit) for the sum of that sequence. In this way there was at least some hope that his son would be able to make some decisions.

After the old king died, the young king began to reign. But very soon, a lot of people became very unsatisfied with his decisions and decided to dethrone him. They tried to do it by proving that his decisions were wrong.

Therefore some conspirators presented to the young king a set of problems that he had to decide about. The set of problems was in the form of subsequences Si = {aSi, aSi+1, …, aSi+ni} of a sequence S = {a1, a2, …, an}. The king thought a minute and then decided, i.e. he set for the sum aSi + aSi+1 + … + aSi+ni of each subsequence Si an integer constraint ki (i.e. aSi + aSi+1 + … + aSi+ni < ki or aSi + aSi+1 + … + aSi+ni > ki resp.) and declared these constraints as his decisions.

After a while he realized that some of his decisions were wrong. He could not revoke the declared constraints but trying to save himself he decided to fake the sequence that he was given. He ordered to his advisors to find such a sequence S that would satisfy the constraints he set. Help the advisors of the king and write a program that decides whether such a sequence exists or not.
Input

The input consists of blocks of lines. Each block except the last corresponds to one set of problems and king’s decisions about them. In the first line of the block there are integers n, and m where 0 < n <= 100 is length of the sequence S and 0 < m <= 100 is the number of subsequences Si. Next m lines contain particular decisions coded in the form of quadruples si, ni, oi, ki, where oi represents operator > (coded as gt) or operator < (coded as lt) respectively. The symbols si, ni and ki have the meaning described above. The last block consists of just one line containing 0.
Output

The output contains the lines corresponding to the blocks in the input. A line contains text successful conspiracy when such a sequence does not exist. Otherwise it contains text lamentable kingdom. There is no line in the output corresponding to the last “null” block of the input.
Sample Input

4 2
1 2 gt 0
2 2 lt 2
1 2
1 0 gt 0
1 0 lt 0
0
Sample Output

lamentable kingdom
successful conspiracy

这个题就是问你存不存在这种序列

可以直接用一个不存在的前缀和来判断
然后就是那一套

不过可以在最短路里判断一下取最大还是最小的…

最大的就是最长路
最短的就是最短路

//#include<bits/stdc++.h>
#include<iostream>
#include<cstdio>
#include<cstring>
#include<queue>
#include<vector>
#include<algorithm>
#include<string>
using namespace std;
//#define int long long 
const int INF = 0x3f3f3f3f;  
const int maxn = 209001;  
int n, m,t;  
struct edge  
{  
    int v, w, next;  
}Edge[2000000];  
int head[maxn], dis[maxn], time[maxn], cnt;  
bool vis[maxn];  
void add_Edge(int u, int v, int w)  
{  
    Edge[cnt].v = v;  
    Edge[cnt].w = w;  
    Edge[cnt].next = head[u];  
    head[u] = cnt++;  
}  
int spfa(int s, int tol)  
{  
    memset(dis, 63, sizeof(dis));  
    memset(time, 0, sizeof(time));  
    memset(vis, false, sizeof(vis));  
    dis[s] = 0;  
    vis[s] = true;  
    time[s]++;  
    queue<int> q;  
    q.push(s);  
    while(!q.empty())  
    {  
        int tem = q.front();  
        q.pop();  
        vis[tem] = false;  
        for(int i = head[tem]; i != -1; i = Edge[i].next)  
        {  
            int to = Edge[i].v;  
            if(dis[to] > dis[tem] + Edge[i].w)  
            {  
                //cout << "yes\n";  
                dis[to] = dis[tem] + Edge[i].w;  
                if(!vis[to])  
                {  
                    vis[to] = true;  
                    q.push(to);  
                    time[to]++;  
                    if(time[to] >= tol)  
                        return 1;  
                }  
            }  
        }  
    }  
    return 0;  
}  
int main()  
{
    string e;
    int n,m,q,w,r;
    while(cin>>n)
    {
        if(!n)break;
        cin>>m;
        memset(head,-1,sizeof(head));
        cnt=0;
        for(int a=1;a<=m;a++)
        {
            cin>>q>>w>>e>>r;
            if(e=="gt")add_Edge(q+w,q,-r-1);
            else add_Edge(q,q+w,r-1);
        }
        for(int a=1;a<=n;a++)add_Edge(0,a,0);
        int tt=spfa(0,n+1);
        if(tt) printf("successful conspiracy\n");
        else printf("lamentable kingdom\n");
    } 
} 
先看效果: https://renmaiwang.cn/s/jkhfz Hue系列产品将具备高度的个性化定制能力,并且借助内置红、蓝、绿三原色LED的灯泡,能够混合生成1600万种不同色彩的灯光。 整个操作流程完全由安装于iPhone上的应用程序进行管理。 这一创新举措为智能照明控制领域带来了新的启示,国内相关领域的从业者也积极投身于相关研究。 鉴于Hue产品采用WiFi无线连接方式,而国内WiFi网络尚未全面覆盖,本研究选择应用更为普及的蓝牙技术,通过手机蓝牙与单片机进行数据交互,进而产生可调节占空比的PWM信号,以此来控制LED驱动电路,实现LED的调光功能以及DIY调色方案。 本文重点阐述了一种基于手机蓝牙通信的LED灯设计方案,该方案受到飞利浦Hue智能灯泡的启发,但考虑到国内WiFi网络的覆盖限制,故而选用更为通用的蓝牙技术。 以下为相关技术细节的详尽介绍:1. **智能照明控制系统**:智能照明控制系统允许用户借助手机应用程序实现远程控制照明设备,提供个性化的调光及色彩调整功能。 飞利浦Hue作为行业领先者,通过红、蓝、绿三原色LED的混合,能够呈现1600万种颜色,实现了全面的定制化体验。 2. **蓝牙通信技术**:蓝牙技术是一种低成本、短距离的无线传输方案,工作于2.4GHz ISM频段,具备即插即用和强抗干扰能力。 蓝牙协议栈由硬件层和软件层构成,提供通用访问Profile、服务发现应用Profile以及串口Profiles等丰富功能,确保不同设备间的良好互操作性。 3. **脉冲宽度调制调光**:脉冲宽度调制(PWM)是一种高效能的调光方式,通过调节脉冲宽度来控制LED的亮度。 当PWM频率超过200Hz时,人眼无法察觉明显的闪烁现象。 占空比指的...
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