The points A1,A2,…,A1983 are set on the circumference of a circle and each is given one of the values ±1. Show that if the number of points with the value +1 is greater than 1789, then at least 1207 of the points will have the property that the partial sums that can be formed by taking the numbers from them to any other point, in either direction, are strictly positive. combinatorics unsolvedcombinatorics