Modify the SumAvgMax program to include determining whether the numbers that are entered are entered in increasing order. For example, if the numbers entered are 3, 6, 8, 13, then report yes. If the numbers entered are 5, 8, 3, 12, then report no, they are not in increasing order. The code only needs to check each number to see if it is smaller than the previously entered number, in which case it sets a variable to no. The previously entered number is set to the current number before the next number is input. Count the number of times the data transition from positive to negative and negative to positive. Example: 5 2 8 -2 -4 1 -3 has 3 such transitions (8 to -2, -4 to 1, 1 to -3) Count the number of consecutive duplicates. Example: 5 2 8 8 2 4 4 4 3 has 3 "duplicates": 8 8, 4 4, 4 4(second time) ********************************** Coin flipping program: during the flippings find the largest difference between the number of heads and the number of tails, i.e. where the number of heads is the most more than the number of tails. This is a find the maximum problem, so a max variable is needed and each time there is a new max value it becomes the value of the max variable. The value is the difference between the number of heads and tails, which is heads-tails. Example: flips: h h h t t h h t t t h heads-tails values: 1 2 3 2 1 2 3 2 1 0 1 So the max gap is 3. When that works, add similar code to find the biggest difference where the number of tails is the most more than the number of heads. ************************************* Harderer: find the longest run of heads and of tails. Example: h h h t t h h t t t h longest run of heads is 3 longest run of tails is 3