10.04.2018 - 15:42
I'm presenting the statistically best opening strategy for anyone who wishes to play as Brazil in Ultimate WWII. As this is based entirely on mathematical calculations, every subjective opinion on this matter is hence avoided and all claims are backed by real data. I chose to do this research because i strongly believe that Brazil, if played smart, can make all the difference in the game. Along the way we will go through every step and see multiple opening strategies, along with its pros and cons, until we reach to best openings. With that being said, we can begin. First question is what would the primary objective for the player be? As Brazil is, along with the Eastern United States, only allied country that doesn't start with a front of its own, this means that player is expected to act only as a relieve/strike force for his teammates, without worrying too much about his homefront. The exception to this rule would be if Vichy chooses to use French Guiana as a springboard for his marines. But we'll come to that later. Anyone who played Ultimate WWII knows that first objective Brazil has is to invade, in most cases, Dakar and French Guiana. The reasons behind that are far too obvious, and i wouldn't go too much as to why that is, but rather how. How should the player invade any cross-Atlantic territory? There are two ways: By sea or by air. So which one is better. The answer lies in the selection of the strategies. Selection of Strategies: The aim is, obviously, to transfer highest sum of attack and defense points to target country/city. Because of that, we're left off with 3 strategies to choose from: Naval Commander, Imperialist, and Sky Menace. So how do we decide which strategy is the best? The player can theoretically go through 2 types of combat until his conquest of Dakar: maritime/air combat and city siege. This means that we have have a total of 4 base variables to consider: naval/areal attack and defense stats (because stats of ground units transported by sea or air aren't accounted if transporting vehicle is caught under fire) and total attack and defense of the entire stack (when all troops engage in city conquest). There are also 2 additional variables: land units' attack and defense stats-if player chooses to engage enemy's units by foot after taking Dakar. So lets do the math: Player starts with 7000 coins and 76 infantry troops placed in 16 different cities. On turn one he gets additional 127 reinforcements, out of which 72 can be used for ship production. Say we wall all cities with 3 infantry units each (we'll talk about in a minute why we don't want to do that). That leaves us with 28 disposable units that we could (and have no reason not to) use for our invasion. We could transport these units by sea-which would cost us between 400 and 500 coins and 2 reinforcements slots in total, or by air which would cost us between 2800 and 6000 and 7 to 10 reinforcements slots. Because naval transport units are much more resource friendly, we'll use 2 naval transports for each strategy. This leaves us with: 1. 6600 disposable coins and 125 free reinforcements slots for Naval Commander 2. 6560 disposable coins and 125 free reinforcements slots for Imperialist 1. 6500 disposable coins and 125 free reinforcements slots for Sky Menace Now lets get back to our 6 variables. We'll calculate the maximum sum of each variable that we can produce with available resources: 1. Naval Commander: - Highest possible sum of naval/areal defense is 517 defense (47 cruisers-6560 coins and 47 reinforcement slots used) - Highest possible sum of naval/areal attack is 427 attack (38 battleships and 1 cruiser-6600 coins and 39 reinforcements used) - Highest possible sum of land attack is 585* attack (17 tanks, 102 militia, 6 naval transports-6300 coins and 125 reinforcements used) - Highest possible sum of land defense is 816* defense (38 infantry, 6 transport, 81 militia-6290 coins and 125 reinforcements used) - Highest possible sum of total attack is 623* attack (12 battleships, 108 militia and 5 transport ships-6280 coins and 125 reinforcements used) - Highest possible sum of total defense is 877* defense (16 cruisers, 5 naval transports, 104 militia-6360 coins and 125 reinforcements used) 2. Imperialist: - Highest possible sum of naval/areal defense is 306 defense (34 cruisers-6460 coins and 34 reinforcement slots used) - Highest possible sum of naval/areal attack is 250 attack (50 bombers-6500 coins and 50 reinforcements used) - Highest possible sum of land attack is 566* attack (40 tanks, 77 militia, 8 naval transports-6130 coins and 125 reinforcements used) - Highest possible sum of land defense is 848* defense (60 infantry, 9 transport, 56 militia-4940 coins and 125 reinforcements used) - Highest possible sum of total attack is 576* attack (40 tanks, 8 naval transports, 77 militia-6130 coins and 125 reinforcements used) - Highest possible sum of total defense is 870* defense (60 infantry, 9 naval transports, 56 militia-4940 coins and 125 reinforcements used) 3. Sky Menace: This one can be explained rather easily why its probably the worst one. Highest possible sum is directly proportional to stat/cost ratio. That is why using solely cruisers provides highest possible sum of naval defense, or why battleships and bombers are best for naval and air attacks for NC and IMP, respectively. With that logic, we can see that no air unit can match their counterparts in two previous strategies. To rule out the second two variables, we just have to see that number of naval transport units are interlinked with number of land units it has to transport. And only NC and IMP provide resource relief by either lowering the ship cost and increasing the carry capacity or by lowering overall units costs. This is why Sky Menace is the worst strategy out of the three. This leads to conclusion that NC is the best strategy in every opening apart from one where player puts main emphasis on total land troops defense. Remember how we said that we don't want to use our 76 infantry to wall cities? To maximize the effect on both land attack/defense and total attack/defense stats, we'll use the 48 militia to do the walling, which will give us in turn 48 better infantry units. This also means, that even if Vichy used his French Guiana to harass you with marines, you'll be still prepared with 12 defense at every city along with infantry units close by, against his maximum 16 attack. (*) The sum is recalculated after we've switched 48 militia with 48 infantry and reintroduced 28 disposable infantry that we've placed in 2 transport ships. Now we'll see which of the 6 main openings for both strategies is the best one, based on their every variable. The separation between each variable will be represented with "/" and will follow the following pattern: Naval Attack/Naval Defense/Land Attack/Land Defense/Total Attack/Total Defense. 1. Naval attack opening for NC: 429/359/112/168/541/527 2. Naval defense opening for NC: 425/523/112/168/537/691 3. Land attack opening for NC: 8/24/585/723/593/747 4. Land defense opening for NC: 8/24/555/816/563/840 5. Total attack opening for NC: 139/129/484/696/623/825 6. Total defense opening for NC: 151/197/472/680/623/877 1. Naval attack opening for IMP: 252/304/84/168/336/472 2. Naval defense opening for IMP: 206/310/84/168/290/478 3. Land/Total attack opening for IMP: 10/20/566/732/576/752 4. Land/Total defense opening for IMP: 11/22/424/848/435/870 We can clearly see that Naval defense opening for NC has a attack power by only 4 points smaller than Naval attack opening, and yet offers whopping 164 more points of protection. Comparing the Naval defense opening for NC with its IMP counterparts, we can easily see that it has major advantage in terms of every stat. This is why Naval defense opening for NC is the best strategy if you're looking for highest troop protection and maximum naval dominance. One more strategy we can rule out is the Total attack opening for NC. This opening strategy's emphasis is on total attack power, yet we clearly see that Total defense opening has equal attack power plus 52 more points on total defense, 12 more points of naval attack power, 68 more points of naval defense, but with 12 less points of land attack power and 16 of land defense. But overall, if you're looking to deal highest Total attack and Total defense on enemies coastal cities, this is by far the best strategy for NC strat. Unfortunately, Total attack and defense openings for IMP are much more ambiguous to rule one out over the other, as both provide much greater difference between their stats (ie. total attack offers much higher land and total attack power which it trades for much weaker land and total defense, and vice versa). But comparing them to Total defense opening for NC, we see that Total attack opening offers much less naval power, as well as much weaker total attack and defense you can generate, but which it turn has much more powerful land units. The final pair of openings we are going to focus on are Land openings. Land attack opening for NC offers 19 more land attack and 17 total attack points than its IMP counterpart, which it trades for 9 points less of land defense and 5 points less of total defense. Therefor, if your main focus is having most powerful land attack then the NC's opening is the way to go. If you want to play it a bit safer safer, you can go with almost as aggressive IMP opening with more defense points. Lastly, Total defense for IMP offers absolutely highest number of land defense points and is equally as strong when it comes to total defense, but severely lacks in everything else compared to its NC counterpart. Things to note: Land attack and defense openings for both NC and IMP offer ridiculously low naval strength, therefor have a huge risk of getting sunk. Keep in mind that these are all openings specialized to be optimal only in their field! Player can from here on make his own setup that will combine these basic openings with proportions to suit their own play style. If the player doesn't wan't to get involved with proportions, i highly recommend him to use the Total defense opening for NC, as it provides both the biggest total attack and defense power, as well as having the only reasonable navy along with Naval defense opening for NC, while keeping the strong land units (unlike Naval defense opening for NC). Thank you for your time, and good luck!
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10.04.2018 - 16:06
Might've named the post badly. This focuses on optimal resource spending, but how do you explain that in the finite number of words. Also, that country doesn't exist.
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