• UVA 11093 Just Finish it up(环形跑道)(模拟)


    题意:环形跑道上有n(n <= 100000)个加油站,编号为1~n。第i个加油站可以加油pi加仑。从加油站i开到下一站需要qi加仑汽油。你可以选择一个加油站作为起点,起始油箱为空(但可以立即加油)。你的任务是选择一个起点,使得可以走完一圈后回到起点。假定油箱中的油量没有上限。如果无解,输出Not possible,否则输出可以作为起点的最小加油站编号。

    分析:如果从加油站st开始,一直到加油站id油没了,说明id之前的加油站都不可以作为起点。枚举并验证所有起点即可。

    #pragma comment(linker, "/STACK:102400000, 102400000")
    #include<cstdio>
    #include<cstring>
    #include<cstdlib>
    #include<cctype>
    #include<cmath>
    #include<iostream>
    #include<sstream>
    #include<iterator>
    #include<algorithm>
    #include<string>
    #include<vector>
    #include<set>
    #include<map>
    #include<stack>
    #include<deque>
    #include<queue>
    #include<list>
    #define Min(a, b) ((a < b) ? a : b)
    #define Max(a, b) ((a < b) ? b : a)
    typedef long long LL;
    typedef unsigned long long ULL;
    const int INT_INF = 0x3f3f3f3f;
    const int INT_M_INF = 0x7f7f7f7f;
    const LL LL_INF = 0x3f3f3f3f3f3f3f3f;
    const LL LL_M_INF = 0x7f7f7f7f7f7f7f7f;
    const int dr[] = {0, 0, -1, 1, -1, -1, 1, 1};
    const int dc[] = {-1, 1, 0, 0, -1, 1, -1, 1};
    const int MOD = 1e9 + 7;
    const double pi = acos(-1.0);
    const double eps = 1e-8;
    const int MAXN = 100000 + 10;
    const int MAXT = 10000 + 10;
    using namespace std;
    int a[MAXN], b[MAXN];
    int tot, n, st;
    bool solve(){
        for(int i = 0; i < n; ++i){//枚举起始点
            st = i;
            int id = i;
            int tot = 0;
            while(tot + a[id] >= b[id]){
                tot = tot + a[id] - b[id];
                ++id;
                if(id >= n) id -= n;
                if(id == st) return true;//循环一圈,可作为起点
            }
            i = id;//证明第id之前的加油站都不能作为起点
            if(i < st) return false;//st一直到最后的加油站都判断过了,都不能作为起点
        }
        return false;
    }
    int main(){
        int T;
        scanf("%d", &T);
        int kase = 0;
        while(T--){
            scanf("%d", &n);
            for(int i = 0; i < n; ++i) scanf("%d", &a[i]);
            for(int i = 0; i < n; ++i) scanf("%d", &b[i]);
            printf("Case %d: ", ++kase);
            if(solve()){
                printf("Possible from station %d\n", st + 1);
            }
            else{
                printf("Not possible\n");
            }
        }
        return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/tyty-Somnuspoppy/p/6372170.html
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