ZOJ 3962 Seven Segment Display
来源:互联网 发布:域名被墙检测 编辑:程序博客网 时间:2024/06/08 11:23
A seven segment display, or seven segment indicator, is a form of electronic display device for displaying decimal numerals that is an alternative to the more complex dot matrix displays. Seven segment displays are widely used in digital clocks, electronic meters, basic calculators, and other electronic devices that display numerical information.
Edward, a student in Marjar University, is studying the course "Logic and Computer Design Fundamentals" this semester. He bought an eight-digit seven segment display component to make a hexadecimal counter for his course project.
In order to display a hexadecimal number, the seven segment display component needs to consume some electrical energy. The total energy cost for display a hexadecimal number on the component is the sum of the energy cost for displaying each digit of the number. Edward found the following table on the Internet, which describes the energy cost for display each kind of digit.
(units/s)
(units/s)
For example, in order to display the hexadecimal number "5A8BEF67" on the component for one second, 5 + 6 + 7 + 5 + 5 + 4 + 6 + 3 = 41 units of energy will be consumed.
Edward's hexadecimal counter works as follows:
- The counter will only work for n seconds. After n seconds the counter will stop displaying.
- At the beginning of the 1st second, the counter will begin to display a previously configured eight-digit hexadecimal numberm.
- At the end of the i-th second (1 ≤ i < n), the number displayed will be increased by 1. If the number displayed will be larger than the hexadecimal number "FFFFFFFF" after increasing, the counter will set the number to 0 and continue displaying.
Given n and m, Edward is interested in the total units of energy consumed by the seven segment display component. Can you help him by working out this problem?
Input
There are multiple test cases. The first line of input contains an integer T (1 ≤ T ≤ 105), indicating the number of test cases. For each test case:
The first and only line contains an integer n (1 ≤ n ≤ 109) and a capitalized eight-digit hexadecimal numberm (00000000 ≤ m ≤ FFFFFFFF), their meanings are described above.
We kindly remind you that this problem contains large I/O file, so it's recommended to use a faster I/O method. For example, you can use scanf/printf instead of cin/cout in C++.
Output
For each test case output one line, indicating the total units of energy consumed by the eight-digit seven segment display component.
Sample Input
35 89ABCDEF3 FFFFFFFF7 00000000
Sample Output
208124327
Hint
For the first test case, the counter will display 5 hexadecimal numbers (89ABCDEF, 89ABCDF0, 89ABCDF1, 89ABCDF2, 89ABCDF3) in 5 seconds. The total units of energy cost is (7 + 6 + 6 + 5 + 4 + 5 + 5 + 4) + (7 + 6 + 6 + 5 + 4 + 5 + 4 + 6) + (7 + 6 + 6 + 5 + 4 + 5 + 4 + 2) + (7 + 6 + 6 + 5 + 4 + 5 + 4 + 5) + (7 + 6 + 6 + 5 + 4 + 5 + 4 + 5) = 208.
For the second test case, the counter will display 3 hexadecimal numbers (FFFFFFFF, 00000000, 00000001) in 3 seconds. The total units of energy cost is (4 + 4 + 4 + 4 + 4 + 4 + 4 + 4) + (6 + 6 + 6 + 6 + 6 + 6 + 6 + 6) + (6 + 6 + 6 + 6 + 6 + 6 + 6 + 2) = 124.
思路: 找规律, 分别统计每一位上各个数字出现的次数, 然后求和.
(1): 最后一位上 从0-F, 每个数字都会出现n / 16次, 剩余n % 16次, 可以直接模拟
(2): 非最后一位, 大致与(1)类似, 先统计当前数字出现的次数, 把这些数字先从n中减去, 然后每个数字都会出现的次数为 n / (16 ^ t) (从后往前, t依次取1, 2, 3, ...)
剩余 n % (16 ^ t) 按 n / (16 ^ (t - 1)) 为一组依次加到该位置下一位应出现的数字的个数中
(3): 求和即是所求
#include<cstdio>#include<cstring>#include<string>#include<iostream>#include<queue>#include<set>#include<vector>#include<algorithm>typedef long long ll;using namespace std;int f[20] = {6, 2, 5, 5, 4, 5, 6, 3, 7, 6, 6, 5, 4, 5, 5, 4};ll num[20];int main() { int t, n; char s[20]; scanf("%d", &t); while(t--) { scanf("%d %s", &n, s); memset(num, 0, sizeof num); ll c = 16, d = 1; ll k = 0; for(int i = 7; i >= 0; i--) { ll nn = n; ll kk1, kk2; if(s[i] >= 'A' && s[i] <= 'Z') kk1 = s[i] - 'A' + 10; else kk1 = s[i] - '0'; kk2 = kk1; if(k >= n) {num[kk1] += n; continue; } nn -= k; num[kk1] += k; ll t1 = nn / c; ll t2 = nn % c; for(int j = 0; j < 16; j++) { num[j] += d * t1; } if(i != 7) kk1++; for(ll j = t2; j > 0; j -= d) { num[kk1 % 16] += min(j, d); kk1++; } if(i == 7) k += 16 - kk2; else k += (15 - kk2) * d; d *= 16; c *= 16; } ll ans = 0; for(int i = 0; i < 16; i++) { ans += f[i] * num[i]; } printf("%lld\n", ans); } return 0;}
- ZOJ 3962 Seven Segment Display
- 【ZOJ 3962 Seven Segment Display】
- ZOJ Seven Segment Display
- ZOJ 3962Seven Segment Display (数位DP)
- zoj 3962 Seven Segment Display 数位dp
- zoj 3962 Seven Segment Display(数位dp)
- zoj 3962 Seven Segment Display 数位dp
- ZOJ 3954 Seven-Segment Display
- ZOJ 3954 Seven-Segment Display
- ZOJ 3954 Seven-Segment Display
- ZOJ 3962 Seven Segment Display(数位dp)
- ZOJ 3962 Seven Segment Display(*数位DP 总结)
- ZOJ 3962 Seven Segment Display (数位 DP)
- 浙江省赛E zoj 3962 Seven Segment Display
- ZOJ 3962Seven Segment Display(数位dp)
- ZOJ 3954 Seven-Segment Display(思维)
- ZOJ 3954 Seven-Segment Display (预处理)
- zoj 3954 Seven-Segment Display 思维
- Linux服务器 tomcat 远程调试,
- JAVA EE总结
- 51nod_1069 Nim游戏
- Linux ALSA声卡驱动之五:移动设备中的ALSA(ASoC)
- xcode建立工程项目访问不了外网解决办法
- ZOJ 3962 Seven Segment Display
- 签offer VS 签三方
- matlab,edit换行
- opencv学习笔记-OpenCV3.0 决策树的使用
- 非UI自动化测试和UI自动化测试
- Storm的安装
- 虚析构函数(√)、纯虚析构函数(√)、虚构造函数(X)
- JSTL应用----下拉列表
- 第六章 6-2 KeyView