A - Adjacent Product

这篇文章描述了一个C++程序,用于计算给定整数数组A中的相邻元素乘积B[i]=A[i]*A[i+1]。程序读取输入,存储整数,计算并输出结果,但注意数组索引从1开始且未包含错误处理。

问题陈述

您将得到 N 个整数 A[1],A[2],…,A[n]​ 。另外,定义 b[i]]=a[i]×a[i+1] (1≤i≤n−1)Bi​=Ai​×Ai+1​ (1≤i≤N−1) 。

按顺序打印 b[1],b[2],…,b[n-1]​ ,用空格分隔。

数据范围

  • 2≤N≤100

  • 1≤a[i]≤100

所有输入值均为整数。

输入

输入来自标准输入,格式如下:

N

A[1]  A[2]  ...  A[N]

输出

按顺序打印 B1​,B2​,…,BN−1​ ,用空格分隔。

样本输入1

3
3 4 6

 

示例输出1

12 24

我们有 B1​=A1​×A2​=12,B2​=A2​×A3​=24 。

代码和解析:

#include<bits/stdc++.h> // 引入标准库,包含了C++的多数头文件  
using namespace std;    // 使用标准命名空间,这样可以直接使用标准库中的类、函数等,无需std::前缀  
  
const int N = 100007;   // 定义一个常量N,表示数组a的最大长度  
int n;                  // 定义一个变量n,用于存储将要输入的整数的数量  
int a[N];               // 定义一个整型数组a,用于存储输入的整数  
  
int main()             // 主函数入口  
{  
    cin >> n;          // 从标准输入读取一个整数n,表示后续将要输入的整数数量  
  
    // 循环读取n个整数,并将它们存储在数组a中  
    // 注意:这里数组是从a[1]开始使用的,而不是通常的a[0]  
    for(int i = 1; i <= n; i++) cin >> a[i];  
  
    // 循环计算并打印相邻整数的乘积  
    // 注意:这里是从a[1]开始到a[n-1]结束,因为a[n]不存在(数组越界)  
    for(int i = 1; i <= n - 1; i++) cout << a[i] * a[i + 1] << " ";  
  
    return 0; // 主函数返回0,表示程序正常结束  
}  
  
/*  
 * 解析:  
 * 1. 程序首先读取一个整数n,表示后续要输入的整数数量。  
 * 2. 然后,程序读取n个整数,并将它们存储在数组a中,从a[1]开始存储。  
 * 3. 接下来,程序计算并打印数组a中相邻整数的乘积,即从a[1]和a[2]的乘积开始,  
 *    一直到a[n-1]和a[n](如果存在的话)的乘积结束。但由于数组只到a[n],所以实际上计算的是a[n-1]和a[n]之前的元素乘积。  
 * 4. 每个乘积之间用空格分隔,最后打印出所有乘积。  
 *  
 * 注意:  
 * - 由于数组a是从a[1]开始使用的,而不是通常的a[0],这在实际编程中并不常见,可能会造成混淆。  
 * - 在实际编程中,通常建议从数组的第一个元素a[0]开始使用,以符合C++的惯例。  
 * - 另外,这段代码没有进行错误处理,比如输入的n是否超过了数组a的大小。在实际应用中,应该加上相应的错误处理机制。  
 */

10.9 CREATE_CUTLINE Command Type OPC control setup command (optional) Description This command creates a cutline on the segments based on the flexible target to measure EPE. Usage CREATE_CUTLINE input_segs [{-enclose | -enclosed_by | -exclude} layer margin_value] [{-single | -multi}] [-samples {num | space} <value constraint>] [-length <value constraint>] [-number <value constraint>] [-interval <value constraint>] [-end_dist <value constraint>] [-min_corner_dist <value constraint>] [-append] [-jog_ignore <value constraint>] [-middle] [-shift {convex | concave | outside | inside | both} {ratio | dist} <value constraint>] [-rotate <angle degree>] [-max_target_distance <value constraint>] [-measure] [-end_ratio <value constraint>] [adjacent {ratio | dist} <value constraint>] Arguments ➢ input_segs A required argument inputs the label needed for the operation. ➢ [{-enclose | -enclosed_by | -exclude} layer margin_value] An optional argument indicating the creation of extra cutline to converge PWOPC result. The center of the cutline is set when meets the minimum constraint; the orientation of the cutline is perpendicular to the nearest non-OPC edge in the defined layer. layer: must be hidden type. margin_value: refers to the distance between the center of the cutline and the layer. -enclose: check outer from layer, inter from input_segs; -enclosed_by: check outer from input_segs, inter from layer; -exclude: check the input_segs is away from layer; Chapter 10 I-OPC Control SEIDA SAILES I-OPC User Guide and Reference Manual 289 Figure 10.3 Graphic Instructions for “margin_value” ➢ [{-single | -multi}] An optional argument specifying the cutline mode to be “-single” or “-multi”. Defaults to “-single”. ➢ [-samples {num | space} <value constraint>] An optional argument defining the sample points count on the cutline. num: the sample points numbers, which should be set to an odd number greater than 2; space: the sample points interval. Defaults to “-samples space 0.005” in the unit of “μm”. ➢ [-length <value constraint>] An optional argument defining the cutline length. Defaults to 3* Nyquist distance, it can be set to a positive floating value in microns (μm). ➢ [-number <value constraint>] An optional argument defining the cutline count numbers on a single segment. Note that it only takes effect in “-multi” cutline mode. It can be set to a positive integer; if set to 0, use “-interval” to determine the cutline interval. ➢ [-interval <value constraint>] Chapter 10 I-OPC Control SEIDA SAILES I-OPC User Guide and Reference Manual 290 An optional argument defining the cutline interval. Note that it only takes effect in “-multi” cutline mode. Defaults to 0.005, it can be set to a positive floating value in microns (μm). ➢ [-end_dist <value constraint>] An optional argument measuring the distance between the cutline and the end points of the corner segment. Note that it only takes effect in “-single” cutline mode, which can be set to a positive floating value in microns (μm). <value constraint>: the specific distance measured from the center of the cutline to the end points of the corner segment. Figure 10.4 Graphic Instructions for “-end_dist” ➢ [-min_corner_dist <value constraint>] An optional argument measuring the minimum distance from the cutline center to the corner. The cutline will fail to be created if the corner distance is less than or equal to this given value, which can be set to a positive floating value in microns (μm). ➢ [-append] An optional argument indicates the new cutline will be appended on the existed cutline on the segment. By default, this operation is off, which means to recreate new cutlines on the segment. ➢ [-jog_ignore <value constraint>] An optional argument defining the jog length that can be neglected. The cutline will not be created in such segments and these segments will not be moved during OPC iterations. ➢ [-middle] An optional argument forces to create a single cutline only in the middle of the segment. By default, this operation is off. Chapter 10 I-OPC Control SEIDA SAILES I-OPC User Guide and Reference Manual 291 ➢ [-shift {convex | concave | outside | inside | both} {ratio | dist} <value constraint>] An optional argument indicating the cutline shift setup to in_corner(convex), out_corner(concave), outside and inside four directions based on the segments. both: supports cutline to shift toward two corners. Noth that it only takes effect in “-middle” mode. {ratio | dist} <value constraint>: defines the shift distance where “ratio” represents the proportion of segment length and “dist” represents the absolute distance in μm. This option can achieve flexible target modification. The cutline shift in horizontal and vertical direction rather than along the edge of the flexible target. ➢ [-rotate <angle degree>] An optional argument controls the cutline rotate setup. Defaults to 0, the <angle degree> is in clockwise. ➢ [-max_target_distance <value constraint>] An optional argument defining the maximum search range for target. Defaults to 0.03μm, it can be set to a positive floating value in microns (μm). If the layer type is target, the distance between the segment and the generated target may be enlarged because of the discrepancy between the original target layer and the segment layer. Thus, it enables the layer owner to specify the search distance when creating cutlines. ➢ [-measure] An optional argument indicating that the created cutline belongs to the measure cutline. Different from the cutlines used in EPE solver, measure cutline is a new cutline group, used for “LABEL contour_cd” (see section 7.16) to labelling specific segments. ➢ [-end_ratio <value constraint>] An optional argument defining the shift distance. Note that it only takes effect in “-single” cutline mode, which can be set to a positive floating value in microns (μm). <value constraint>: the proportion of the original segment length. The actual shift distance is determined by the product of the given value in “-end_ratio” and the original corner segment length. (see Figure 10.4) ➢ [-adjacent {ratio | dist} <value constraint>] An optional argument controls whether to shift adjacent segments when “-shift outside | inside”. Chapter 10 I-OPC Control SEIDA SAILES I-OPC User Guide and Reference Manual 292 When cutline is created with “-shift outside | inside”, if “-adjacent” is defined, then the cutlines of adjacent segments within the specified range associated with the current cutline will shift simultaneously with the same shift value. The specified range distance refers to the projection distance on the segment between the midpoint of the current moved cutline and the midpoint of the adjacent segment cutline. Only valid for parallel adjacent segments. {ratio | dist} <value constraint>: defines the specified range distance where “ratio” represents the proportion of adjacent length and “dist” represents the absolute distance in “μm”. Figure 10.5 Graphic Instructions for “-adjacent” NOTE: 1. Default cutline creation principles are as follows: For line/space end/zigzag (an edge with one or two segments), create the cutline at the edge center; for corners, create the cutline at segment end point that is away from the corner; For non-corner segment, create the cutline at segment center. 2. The center point of cutline is on the flexible target layer. If flexible target is not defined, the cutline will not be generated. Flexible SRAF target for SRAF cutline is not necessary. Chapter 10 I-OPC Control SEIDA SAILES I-OPC User Guide and Reference Manual 293 请帮助我理解使用
12-06
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