
Little Greg got a set of pencils for Christmas. Since then, he has been spending hours drawing rectangles on a piece of paper. In this problem, the paper will be represented as an xy plane. All the rectangles have sides parallel to the axes, and some of them may intersect, creating even more rectangles. Greg wonders how many squares (rectangles with sides of equal length) exist in his drawing.
For example, in the image below, Greg has drawn three rectangles, one in red, one in green, and one in blue. These three rectangles intersect to form a total of 36 rectangles, 14 of which are squares (nine 1 x 1, four 2 x 2, and one 3 x 3).
You are given the rectangles drawn by Greg in the int[]s x1, y1, x2, and y2. (x1[i], y1[i]) is the lower left corner of the ith rectangle, and (x2[i], y2[i]) is the upper right corner of the ith rectangle. Return the number of squares that exist in the drawing.

 {453453463,453453500,453453495,453453512,453453478,453453489,
453453466,453453500,453453498,453453510,453453472,453453512,
453453519,453453514,453453521,453453518,453453523,453453517,
453453466,453453525,453453496,453453495,453453463,453453461,
453453460,453453522,453453471,453453468,453453479,453453517,
453453485,453453518,453453499,453453464,453453494}  {364646438,364646402,364646449,364646438,364646415,364646401,
364646446,364646416,364646456,364646414,364646463,364646407,
364646436,364646450,364646421,364646411,364646414,364646419,
364646445,364646427,364646405,364646442,364646418,364646464,
364646457,364646463,364646432,364646426,364646444,364646431,
364646450,364646418,364646434,364646458,364646402}  {453453488,453453510,453453525,453453523,453453493,453453500,
453453470,453453511,453453499,453453521,453453518,453453524,
453453523,453453523,453453524,453453523,453453525,453453519,
453453473,453453526,453453511,453453517,453453470,453453464,
453453511,453453524,453453516,453453516,453453492,453453524,
453453513,453453522,453453520,453453505,453453512}  {364646460,364646454,364646462,364646466,364646464,364646455,
364646457,364646461,364646457,364646450,364646466,364646453,
364646441,364646451,364646460,364646461,364646446,364646464,
364646447,364646460,364646454,364646450,364646444,364646466,
364646458,364646466,364646455,364646442,364646462,364646435,
364646464,364646444,364646455,364646459,364646430} 
 Returns: 124  
