• noip 2012 提高组 day2 部分题解


      这道题有多种解法,我用的是扩展欧几里得算法求到的答案

     1 #include<iostream>
     2 #include<fstream>
     3 #include<cstdio>
     4 using namespace std;
     5 typedef long long ll;
     6 ifstream fin("mod.in");
     7 FILE *fout = fopen("mod.out","w");
     8 void gcd(ll a,ll b,ll& x,ll& y){
     9     if(!b){    x = 1, y = 0;    }
    10     else{    gcd(b, a%b, y, x);    y -= x * (a / b);    }
    11 }
    12 ll a1,b1;
    13 ll x1 = 0,y1 = 0;
    14 int main(){
    15     fin>>a1>>b1;
    16     gcd(a1, b1, x1, y1);
    17     fprintf(fout,"%ld",(x1 + b1 * 2)%b1);
    18     return 0;
    19 }

      这道题把第i个人看做一个有序的序列(1、2、3、4....)然后二分

    至于求和,就像这么处理:

      

    接着从前面开始求和。。。

    就像这样可以求出每一天的教室使用量,如果1 ~ v天中有哪一天不够用了,就在前半段

    查找,如果都足够,就向后面查找,每次不够的时候更新结果result

     1 #include<iostream>
     2 #include<fstream>
     3 #include<cstdio>
     4 #include<cctype>
     5 #include<cstring>
     6 using namespace std;
     7 typedef bool boolean;
     8 FILE *fout = fopen("classroom.out","w");
     9 template <class T> 
    10 inline void get(T &u){
    11     char x;
    12     while(!isdigit(x=getchar()));
    13     for( u=x-48; isdigit(x=getchar()); u*=10,u+=(x-48));
    14     ungetc(x,stdin);
    15 }
    16 int *d;
    17 int *s;
    18 int *t;
    19 int *r;
    20 int *buf;
    21 int m,n;
    22 boolean solve(int v){
    23     memset(buf, 0, sizeof(int) * (n + 1));
    24     int sum = 0;
    25     int limit = 0;
    26     for(int i = 1;i <= v;i++){
    27         buf[s[i]] += d[i];
    28         buf[t[i] + 1] -= d[i];
    29         limit = max(limit, t[i]);
    30     }
    31     for(int i = 1;i <= limit;i++){
    32         sum += buf[i];
    33         if(sum > r[i])    return true;
    34     }
    35     return false;
    36 }
    37 int main(){
    38     freopen("classroom.in","r",stdin);
    39     get(n);
    40     get(m);
    41     r = new int[(const int)(n + 1)];
    42     d = new int[(const int)(m + 1)];
    43     s = new int[(const int)(m + 1)];
    44     t = new int[(const int)(m + 1)];
    45     buf = new int[(const int)(n + 1)];
    46     for(int i = 1;i <= n;i++)    get(r[i]);
    47     for(int i = 1;i <= m;i++){
    48         get(d[i]);
    49         get(s[i]);
    50         get(t[i]);    
    51     }
    52     int from = 1;
    53     int end = m;
    54     int result = 0;
    55     while(from <= end){
    56         int mid = (from + end) >> 1;
    57         if(solve(mid)){
    58             result = mid;
    59             end = mid - 1;
    60         }else from = mid + 1;
    61     }
    62     if(!result)    fprintf(fout,"0
    ");
    63     else fprintf(fout,"-1
    %d
    ",result);
    64     return 0;
    65 }
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  • 原文地址:https://www.cnblogs.com/yyf0309/p/5697210.html
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