Challenging Mathematical Problems with Elementary Solutions: Problems from various branches of mathematics |
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arrangement assume axis base blocks boundary bounded clear clearly colors common Configuration Consider consists construct contains continuous cookies curve curvilinear trapezoid denote deviation digits distance divide equal equation exactly example expression fact figure follows formula four given greater Hence hypothesis increases induction inequality integer intersect interval lattice points least length less lies limit lines log P2 log loga logarithms losing mathematics means move neighbors obtain occurs pairs parallel pass plane player points polygon polynomial positive possible prime problem progressions proof prove rank ratio rectangle remains Remark respectively result result of problem roots satisfying segment sequence shown sides solution square stops Suppose tends theorem triangle vertex vertices winning write zero