Because A is the first and E is the third, it is 96 points, so the score of A may be: 97, 98, 99, 100.
① when A=97, D=94, B+C= 188, the scores of b and c may be (b = 92, c = 96), (b = 93, c = 95), (b = 94, c = 94), (b = 95). (If this situation is that B (or C) and E are tied for second place and get 96 points, then this situation does not meet the meaning of the question. )
② when A=98, D=95, B+C= 187, the scores of b and c may be (B = 92, C = 95), (B = 93, C = 94), (B = 94, C = 93), (B = 95).
③ when A=99, D=96, B+C= 186, the scores of b and c may be (B = 92, C = 94), (B = 93, C = 93), (B = 94, C = 92). At this time, all three situations meet the question type. (If this situation is that D and E are tied for the second place and get 96 points, then this situation does not meet the meaning of the question. )
(4) When A= 100, D=97 and B+C= 185, the scores of B and C may be (B = 92, C = 93) and (B = 93, C = 92). At this time, both situations meet the meaning of the question, that is, A takes 650 as the first place.
To sum up, only A= 100 and D=97 meet the meaning of the question; If tied in low order, there are (A is the first place with 97 points, B (or C) tied with E for the third place with 96 points, D for the fourth place with 94 points, and C (or B) for the fifth place with 92 points. A is the first place with 99 points, D and E are tied for the third place with 96 points, B and C are ranked fourth and fifth, or B and C are tied for fifth. A ranks first with 100, D ranks second with 97 points, E ranks third with 96 points, and B and C rank fourth and fifth respectively. All three situations fit the meaning of the question.