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1+2 + ..... + 100 = ( 1 +100 ) + ( 2 +99 ) + ( 3 + 97 ) + ... + ( 50 +51 ) =
↓ ↓ ↓ ↓
=101 =101 =101 =101
formeaza 50 de grupe
= 101 · 50 = 5050