I got motivated to write a close-to-optimal solver for you. This solver only works once you have already figured out exactly which digits you need, and only need to guess their correct permutation. It is a little brute-force: it remembers all possible permutations, and every time you ask a question and get a certain number of strikes $= M$, it selects only those permutations that have exactly $M$ digits in the same positions as the permutation in question, and deletes all the others. The permutation in question is selected at random out of those that are still considered possible. Surprisingly, for 10 digits it only requires approximately 10 questions to arrive at the correct permutation. It can still be optimized by considering which permutation could potentially exclude most of the remaining possible permutations, but such an algorithm would be at least $O(N_P^2)$ where $N_P$ is the number of possible permutations, which would take a really long time to compute. While I hate to have an algorithm scaling with the number of permutations (which is 3 millions for 10 digits), I don't think it is possible to easily reduce the dimension of this problem - it is equivalent to cutting out hyperspheres in from from a convex polytope in 10D space. I don't think there is a compact representation of all the points remaining after a few such cuts. So any efficient strategy for solving this problem is most likely impossible to execute in your head or on a piece of paper.
In baseball and softball, the count refers to the number of balls and strikes a batter has in their current plate appearance. If the count reaches three strikes, the batter strikes out; if the count reaches four balls, the batter earns a base on balls (a "walk").[a]
The home plate umpire will signal the count with the number of balls on his left hand, and the number of strikes on his right hand. (As a result, it reads backwards when viewed from the pitcher's point of view.) Individual umpires vary in how frequently they give this signal; it is often done as a reminder when there has been a slight delay between pitches, such as due to the batter stepping out of the batter's box. It can also be a signal to the scoreboard operator that an incorrect count is being shown on the board. Some umpires may also give the count verbally, although usually only the batter and catcher can hear it.
A full count is the common name for a count where the batter has three balls and two strikes. Since a batter may maintain two strikes indefinitely by hitting foul balls,[d] a full count does not always mean that only five pitches have been thrown, nor does it ensure that there is only one more pitch to be thrown in the plate appearance.
A pitch thrown with a full count is often referred to as a "payoff pitch", since it is likely to be a good pitch for the batter to swing at. With three balls already called by the umpire, the pitcher cannot afford to miss the strike zone, which would result in ball four and a walk for the batter.
Lets say, off the break, no balls are sunk. Then you hit the cue ball into the 2 ball and pocket the 2 ball. I know its a foul since you didn't hit the lowest numbered ball (#1) first, but does the 2 ball stay sunk, and the other player gets ball in hand? If not, where does the 2 ball get placed?
It's the first longer iron in the golf bag, it has less loft than the mid/short irons and I was hitting it from yardages I found to be tricky for me - anything between 160-185 yards. I also didn't have a reliable shot shape with the 6 iron. My usual shape with the mid and short irons is a draw, and with the 6 iron, I would hit the ball with a hook, slice, fade, or straight but never knowing which shot shape would come out.
Michelle told me to focus intensely on the smallest thing possible like an individual leaf or branch or window of a distant building. This narrow focus shuts out background noise and allows you to concentrate on the target. If you are struggling with your 6 iron dispersion, try this and it will help unconsciously focus your mind. It means you're not thinking about golf swing positions and technical mumbo jumbo. Just pick a target, swing and allow the the golf ball to get in the way of your golf club.
Ball position is a really simple fix that is fundamental to every golf shot, from hitting the driver to chipping and putting. I know this because my ball position slowly creeps back in my stance toward my back foot over time and I have to be really disciplined in maintaining the correct golf ball position in my stance.
Most amateur golfers struggle to control where the low point of their swing is so they hit the ground before the ball a lot of the time. It's one of the biggest differences between high handicap and low handicap players and you can improve it easily.
Having a consistent ball position with your 6 iron is going to help you have a more consistent strike point and encourage a better connection. You can take a divot or you can clip the grass or just skim the grass without much contact it doesn't matter.
The most important thing when hitting your mid irons like your 6 iron is that your iron club head strikes the ball at the bottom of the arc. In the picture above, the bottom of my arc with this 6 iron is inside my left heel. The camera angle is not 100% square but my ideal ball position is about 1-2 inches inside my left heel.
First start by hitting the ground with your normal swing. Don't try hit an imaginary ball. Just swing your swing and try to clip the bottom of a daisy stem right out the ground. Notice and pay attention to where the club head is striking the turf in relation to your stance. You'll find that it strikes the ground in roughly the same spot over and over.
THIS is your correct bottom or low point of your golf swing with the 6 iron. Place the ball at the position at start of the divot and begin to hit balls again. by trying to nip the daisy stem out of the ground. I bet you'll start hitting the ball crisply. Remember the point is to get your club head to swing, while the ball gets in the way of your natural arc.
For the 6 iron (which is when you get into the long irons) I would broadly say that the ball needs to be slightly further forward in your stance so that you can get your weight forward. Again, this will mean different things to different players, but get to a driving range, and do the daisy cutting routine above.
But once you know where your low point is, you must DRILL it into your body and your mind and your eyes. Once you're settled on the ball position you want, use alignment sticks to make a cross or a T-shape to know that every time you take a stance, you are in the correct position.
As the loft of the club face decreases, golfers do strange things to get the ball into the air. Some will put the ball by their front foot and then attempt to scoop the ball into the air using a very wristy swing. This actually creates a big slice!
This isn't a very natural movement and could cause you to injure yourself. The 6 iron loft is around 24 to 28 degrees. I promise that the club has enough loft to get the ball in the air. You don't need to help it.
I also see many high handicap golfers decelerate at the impact area. This isn't limited to the six iron, I have seen this happen throughout the bag. I believe that this is because golfers do not trust the loft of the club to get the ball into the air. They have probably also had bad experiences hitting the ball thin. A lot of golfers lack the confidence about their swing speed to trust they can hit the ball with enough power. This is mostly a fallacy.
All you need to make a committed swing with enough swing speed to get the ball airborne. It's just science. In years past, golf clubs were hard to hit but with modern technology and new features, getting the ball in the air has never been easier. You can swing it with enough speed to get a modern six iron in the air. The backspin on the shot and the loft of the club combined with the grooves on the face will elevate the ball.
If you struggle to get your six iron in the air, go to the range and make some swings off a tee. You can tee it high to start. You can work the height of the tee down. Eventually, you want to be clipping the grass or taking a divot, hitting the ball before the ground.
Now there is a BIG different between hitting the ball hard and swinging fast. Some would argue that you can never have a swing speed which is too fast, but if you've ever seen a player whiff a shot after swinging out of their shoes, I'd argue that you can swing too fast.
What players confuse is speed and tempo. Have you ever seen a top professional hit the ball up close. It looks effortless, but they will be generating some serious swing speed and club head and ball speeds. They are in control of their body and their swing and are able to hit the ball hard without making it look like they are.
Tiger Woods said "swing as hard as you can while guaranteeing a center strike on the clubface." I think too many golfers heard the "swing as hard as you can" bit and forgot about the perfect center strike part!
A lot of people will complain about their consistency yet hit the ball with a similar curve and height on every shot. The problem is that their RESULT is not consistent because they are not planning for their shot.
Most players will begin the game with a bit of slice or fade shape and this is fine! I have seen many, many golfers complain about their slice and yet they hit the ball with a tighter dispersion than I do, they just don't aim for their shot shape. There is no shame in hitting a big fade to start with.
How far do you hit your 6 iron? 150 yards? 175 yards? Is that total distance or carry distance? It is really important that we differentiate between these two numbers, as many golfers think they hit the ball a greater distance than they really do. Carry distance is the number we want to focus on as it will allow us to navigate around the course and find the fairway and greens more consistently.
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