------
## 最终结论
To solve the problem of maximizing the power level of Polycarp's army, we need to carefully choose the order in which minions are summoned and potentially destroyed. Here's a Python code that implements the logic to achieve this:

```python
def read_input():
    import sys
    input = sys.stdin.read
    data = input().split()
    
    index = 0
    T = int(data[index])
    index += 1
    test_cases = []
    
    for _ in range(T):
        n, k = int(data[index]), int(data[index + 1])
        index += 2
        minions = []
        
        for i in range(1, n + 1):
            a_i, b_i = int(data[index]), int(data[index + 1])
            index += 2
            minions.append((a_i, b_i, i))
        
        test_cases.append((n, k, minions))
    
    return test_cases

def solve(test_cases):
    results = []
    
    for n, k, minions in test_cases:
        # Sort minions based on initial power level `a_i` and then by `b_i`
        minions.sort(key=lambda x: (-x[0], -x[1]))
        
        actions = []
        current_minions = []
        
        for a_i, b_i, idx in minions:
            if len(current_minions) < k:
                # Summon this minion
                actions.append(idx)
                current_minions.append((a_i, b_i, idx))
                
                # Increase power of all previously summoned minions
                for j in range(len(current_minions) - 1):
                    current_minions[j] = (current_minions[j][0] + b_i, current_minions[j][1], current_minions[j][2])
            
            else:
                # Check if we should replace any existing minion to maximize power
                weakest_idx = -1
                weakest_power_gain = float('inf')
                
                for j in range(len(current_minions)):
                    potential_gain = a_i - (current_minions[j][0] - current_minions[j][1] * (len(current_minions) - 1))
                    if potential_gain > weakest_power_gain:
                        weakest_power_gain = potential_gain
                        weakest_idx = j
                
                if weakest_idx != -1 and weakest_power_gain > 0:
                    # Destroy the weakest minion and summon the new one
                    actions.append(-current_minions[weakest_idx][2])
                    
                    del current_minions[weakest_idx]
                    
                    actions.append(idx)
                    current_minions.append((a_i, b_i, idx))
                    
                    # Increase power of all previously summoned minions
                    for j in range(len(current_minions) - 1):
                        current_minions[j] = (current_minions[j][0] + b_i, current_minions[j][1], current_minions[j][2])
        
        results.append(actions)
    
    return results

def main():
    test_cases = read_input()
    results = solve(test_cases)
    
    for result in results:
        print(len(result))
        print(" ".join(map(str, result)))

if __name__ == "__main__":
    main()
```

### Explanation:

- **Input Parsing:** We read all input data at once and parse it into a list of test cases. Each test case contains the number of minions `n`, the maximum number of controllable minons `k`, and a list of tuples representing each minion's initial power `a_i` and power increment `b_i`.

- **Sorting Minions:** Minons are sorted primarily by their initial power level `a_i` (descending) and secondarily by their increment `b_i` (descending). This ensures that we start with the most powerful available options.

- **Summoning Logic:** We iterate over sorted minons. If we have not yet reached the limit `k`, we summon the next most powerful available minion. If we have reached `k`, we evaluate whether replacing an existing weaker minion with a new one would result in a net gain.

- **Actions Recording:** Each summoning or destruction action is recorded. The actions are printed as required.

This approach efficiently constructs an optimal sequence of summoning and destroying actions to maximize Polycarp's army's total power.