• Codeforces Round #308 (Div. 2) 题解


    题目链接:http://codeforces.com/contest/552

    A、Vanya and Table

    题意:给你n个矩形,问你他们的面积和是多少,是这样的吧-w-

    解:~

     1 /*
     2  * Problem:  
     3  * Author:  SHJWUDP
     4  * Created Time:  2015/7/3 星期五 12:19:42
     5  * File Name: 233.cpp
     6  * State: 
     7  * Memo: 
     8  */
     9 #include <iostream>
    10 #include <cstdio>
    11 #include <cstring>
    12 #include <algorithm>
    13 
    14 using namespace std;
    15 
    16 int n;
    17 int main() {
    18 #ifndef ONLINE_JUDGE
    19     freopen("in", "r", stdin);
    20     //freopen("out", "w", stdout);
    21 #endif
    22     while(~scanf("%d", &n)) {
    23         int sum=0;
    24         for(int i=0; i<n; i++) {
    25             int a, b, c, d;
    26             scanf("%d%d%d%d", &a, &b, &c, &d);
    27             sum+=(c-a+1)*(d-b+1);
    28         }
    29         printf("%d
    ", sum);
    30     }
    31     return 0;
    32 }
    View Code

    B、Vanya and Books

    题意:给你一个n,问你1~n有多少位数,tips:1,7,5是一位数;21,33,99是两位数

    解:~

     1 /*
     2  * Problem:  
     3  * Author:  SHJWUDP
     4  * Created Time:  2015/7/3 星期五 12:19:42
     5  * File Name: 233.cpp
     6  * State: 
     7  * Memo: 
     8  */
     9 #include <iostream>
    10 #include <cstdio>
    11 #include <cstring>
    12 #include <algorithm>
    13 
    14 using namespace std;
    15 
    16 typedef long long int64;
    17 
    18 const int MaxA=9+7;
    19 
    20 int n;
    21 int64 table[MaxA];
    22 int64 pow(int x, int n) {
    23     int64 res=1;
    24     while(n--) {
    25         res*=x;
    26     }
    27     return res;
    28 }
    29 int main() {
    30 #ifndef ONLINE_JUDGE
    31     freopen("in", "r", stdin);
    32     //freopen("out", "w", stdout);
    33 #endif
    34     table[0]=0;
    35     for(int i=1; i<=9; i++) {
    36         table[i]=table[i-1]+(pow(10, i)-pow(10, i-1))*i;
    37     }
    38     while(~scanf("%d", &n)) {
    39         int x=0;
    40         while(pow(10, x+1)<=n) x++;
    41         printf("%I64d
    ", table[x]+(x+1)*(n-pow(10, x)+1));
    42     }
    43     return 0;
    44 }
    View Code

    C、Vanya and Scales

    题意:给你一个天平和一些砝码,砝码的质量为w的0~100次方(每种一个),问你能不能称出质量为m的物品

    解:看到一个很棒的解法,将m化为w进制,从低位到高位考虑,如果该位为0或者1,直接跳过,如果为w-1,将m增加1个当前位的砝码,继续运算,这样就绕过了情况较复杂的减法

     1 /*
     2  * Problem:  
     3  * Author:  SHJWUDP
     4  * Created Time:  2015/7/13 星期一 14:10:32
     5  * File Name: 233.cpp
     6  * State: 
     7  * Memo: 
     8  */
     9 #include <iostream>
    10 #include <cstdio>
    11 #include <cstring>
    12 #include <algorithm>
    13 
    14 using namespace std;
    15 
    16 const int MaxA=64+7;
    17 
    18 int W, M;
    19 int stk[MaxA], top;
    20 int main() {
    21 #ifndef ONLINE_JUDGE
    22     freopen("in", "r", stdin);
    23     //freopen("out", "w", stdout);
    24 #endif
    25     while(~scanf("%d%d", &W, &M)) {
    26         if(W<=3) {
    27             puts("YES");
    28             continue;
    29         }
    30         top=0;
    31         bool ok=1;
    32         do {
    33             int x=M%W;
    34             if(x<=1) M/=W;
    35             else if(x==W-1) M=M/W+1;
    36             else {
    37                 ok=0;
    38                 break;
    39             }
    40         } while(M);
    41         puts(ok?"YES":"NO");
    42     }
    43     return 0;
    44 }
    View Code

    D、Vanya and Triangles

    题意:给你欧式平面上的一些点,问你这些点做顶点能组成多少个三角形

    解:~

     1 /*
     2  * Problem:  
     3  * Author:  SHJWUDP
     4  * Created Time:  2015/7/13 星期一 14:41:52
     5  * File Name: 233.cpp
     6  * State: 
     7  * Memo: 
     8  */
     9 #include <iostream>
    10 #include <cstdio>
    11 #include <cstring>
    12 #include <algorithm>
    13 #include <map>
    14 
    15 using namespace std;
    16 
    17 const int MaxA=2000+7;
    18 
    19 struct Point {
    20     int x, y;
    21 } p[MaxA];
    22 
    23 int n;
    24 int main() {
    25 #ifndef ONLINE_JUDGE
    26     freopen("in", "r", stdin);
    27     //freopen("out", "w", stdout);
    28 #endif
    29     while(~scanf("%d", &n)) {
    30         for(int i=0; i<n; i++) {
    31             scanf("%d%d", &p[i].x, &p[i].y);
    32         }
    33         int ans=0;
    34         for(int i=0; i<n; i++) {
    35             int surplus=n-i-1;
    36             map<pair<int, int>, int> M;
    37             for(int j=i+1; j<n; j++) {
    38                 int dx=p[j].x-p[i].x;
    39                 int dy=p[j].y-p[i].y;
    40                 if(dx<0) dx=-dx, dy=-dy;
    41                 int d=__gcd(dx, dy);
    42                 dx/=d; dy/=d;
    43                 pair<int, int> x(dx, dy);
    44                 M[x]++;
    45             }
    46             for(const auto& u : M) {
    47                 surplus-=u.second;
    48                 ans+=u.second*surplus;
    49             }
    50         }
    51         printf("%d
    ", ans);
    52     }
    53     return 0;
    54 }
    View Code

    E、Vanya and Brackets

    题意:给你一个只有+和*还有数字1~9组成的算式,让你加入一对括号使得算式的值尽可能大

    解:遇见这么深藏不露的模拟题也是醉了

     1 /*
     2  * Problem:  
     3  * Author:  SHJWUDP
     4  * Created Time:  2015/7/13 星期一 22:17:46
     5  * File Name: 233.cpp
     6  * State: 
     7  * Memo: 
     8  */
     9 #include <iostream>
    10 #include <cstdio>
    11 #include <cstring>
    12 #include <algorithm>
    13 
    14 using namespace std;
    15 
    16 typedef long long int64;
    17 
    18 const int MaxA=5e3+7;
    19 
    20 char str[MaxA];
    21 int64 arr[MaxA], n;
    22 char op[MaxA];  //0:'+' 1:'*'
    23 int64 func(int l, int r) {
    24     int64 res=0, x=arr[l];
    25     for(int i=l; i<r; i++) {
    26         if(op[i]=='+') {
    27             res+=x;
    28             x=arr[i+1];
    29         } else {
    30             x*=arr[i+1];
    31         }
    32     }
    33     res+=x;
    34     return res;
    35 }
    36 int main() {
    37 #ifndef ONLINE_JUDGE
    38     freopen("in", "r", stdin);
    39     //freopen("out", "w", stdout);
    40 #endif
    41     while(~scanf("%s", str)) {
    42         int len=strlen(str);
    43         n=0;
    44         vector<int> pos;
    45         for(int i=0; i+1<len; i+=2) {
    46             if(i==0 || str[i-1]!=str[i+1]) pos.push_back(n);
    47             arr[n]=str[i]-'0';
    48             op[n++]=str[i+1];
    49         }
    50         pos.push_back(n);
    51         arr[n]=str[len-1]-'0';
    52         int64 ans=func(0, n);
    53         for(int i=0, lim=(int)pos.size(); i<lim; i++) {
    54             int64 x=0;
    55             int64 pm=1;
    56             int p=pos[i]-1;
    57             while(p>=0 && op[p]=='*') pm*=arr[p--];
    58             if(0<=p) x=func(0, p);
    59             for(int j=i+1; j<lim; j++) {
    60                 int64 y=0;
    61                 p=pos[j];
    62                 int64 am=1;
    63                 while(p<n && op[p]=='*') am*=arr[++p];
    64                 if(p+1<=n) y=func(p+1, n);
    65                 ans=max(ans, x+y+am*pm*func(pos[i], pos[j]));
    66             }
    67         }
    68         printf("%I64d
    ", ans);
    69     }
    70     return 0;
    71 }
    View Code
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  • 原文地址:https://www.cnblogs.com/shjwudp/p/4645152.html
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