Free Pascal about Yang Hui s triangle

In programming, the output of Yang Hui Triangle is all in this form, but if you have to be pyramidal, add the judgment eg:for i:=1 to n dobegin for j:

1 to i do write(' ');end;Will this be solved soon?

Regularly output whitespace in front.

The ** of the line evaluation system sends one.

I'll take a look at it for you.

That's right, maybe the program ran out of time, try to be as concise as possible.

11 1

Each number (outside the leftmost and rightmost sides) is the sum of the above two numbers, i.e. let the current coordinates be x,y

Then a[x,y]:=a[x-1,y]+a[x-1,y-1] is a simple way to use the combination c to calculate the number in row x, column y.

But the program for looking at lz is to calculate the remainder of all the values in the nth line and mod 2009, so it's still easy to use arrays.

With combination, the number of column y in row x = combination c(x-y+1,y) with **:

s:=1;for i:=y downto x-(x-y+1)+1 dos:=s*i;

Each number is equal to the sum of the left and right digits of the previous row. You can use this property to write the entire Pascal triangle.

……When you enter 50+, it will exceed the array data type range, and change the array to a:array[1..10000,1..10000]of int64;

If it's a little bigger, you need to use high precision.

a:array[1..10000,1..10000]of integer;

Change to a:array[1...10000,1..10000] of longint;

or a:array[1..10000,1..10000] of int64;

The data in the integer range of (-32768, 32768) at the 10000 layer is obviously larger than the integer's range.

It is recommended that the array open longint int64 is easy to time out.

1） '?'End: -- Reads to Character Entry (Loop Input).'?to end (loop) the input. Counting takes such a way as to create an array of 26 or 52 elements, indexed with letters (ord(ch)-ord('a') lowercase, (ord(ch)-ord(.).'a') uppercase , counting is the operation of adding 1.

2) Queue or circular linked list!

3) Bubbling everywhere, search for it!

4) Calculate how many positions each number occupies, and then calculate how many spaces each line starts out.

When each line outputs a number, each output number outputs the same number of spaces, and the interval arrangement is.

5）“.End: -- Reads to Character Entry (Loop Input).'?'to end (loop) the input.

Palindrome judgment, the two ends go to the middle, and when the characters are different, exit, there is no exit halfway, it is a palindrome, and the one who exits halfway is not.

You suddenly drop a big basket of problems, and everyone who sees it wants to turn around and leave.