Adsense Reporting – Finding Earning not Attributed to an Ad Unit

I’ve been a publisher using Adsense since 2006.

Up until sometime in 2020, I was pretty good with having all ad placements allocated to (or "tied to") Ad Units.

Recently though, as much as half of my actual earnings don’t show up in the Ad Units report. e.g. If my overall earnings on a given day was $ 60, only $ 30 of that shows up in the Ad Units report.

Clearly I must have an ad (or multiple ads) running that don’t have an Ad Unit?

How would I go about troubleshooting that?

It’s all on the same site/domain so hopefully it won’t be too hard to track down.

finding FWHM of a dataset with unknown mathematical equation

I have a dataset. I have plotted using "Listloglinearplot". Now I need to find the FWHM (full width half maxima) of the same, However I dont know which mathematical eqution describes best to fit my dataset to find out FWHM. I have the following data and plot:

dataset={{0., 0.0518175}, {1., 0.0306299}, {1.9, 0.610295}, {2.,    1.32653}, {2.2, 4.01183}, {2.5, 6.37931}, {3., 6.50091}, {5.,    6.54052}, {6., 6.57276}, {8.2, 6.59119}, {15., 6.56125}, {20.,    6.5267}, {30., 6.4484}, {45., 6.2987}, {60., 6.11953}, {75.,    5.84962}, {90., 5.43738}, {100., 4.96757}, {105., 4.54382}, {120.,    3.42917}, {135., 2.23092}, {150., 1.55222}, {165., 0.679385}, {180.,    0.444479}} dataplot =   ListLogLinearPlot[dataset,    PlotStyle -> {Dashing[{.0071, 0.005, 0.005}], Blue},    PlotMarkers -> {\[FilledCircle], 15}, Frame -> True,    FrameStyle -> Directive[Black, Thickness[0.002]],    FrameLabel -> {Style["x", Black, FontFamily -> "Times New Roman",       FontSize -> 26],      Style["y", Black, FontFamily -> "Times", FontSize -> 26]},    PlotRange -> {{0, 190}, {1, 7.2}}, FrameTicks -> Automatic,    ImageSize -> 650,    BaseStyle -> {FontFamily -> "Times", FontSize -> 10}] 

Can anyone please help me with the mathematical equation?

Thank you.

Is Wisdom (survival) skill used for both tracking and finding tracks?

It is mentioned that to follow tracks you need to find them. It is also mentioned it can take up to an hour outdoor to find tracks you have lost (all under tracking, which is Wisdom (Survival).

The way I read it would be to use Survival no matter the situation (for both finding and following) but I read some people would use perception or investigation to find the tracks. When looking at the table for Sylvan random encounter in DMG p.87, in one entry it uses Wisdom (Survival) to both find and follow the tracks.

Also, I see a problem using other skills to find the tracks for a Ranger character because Ranger favored enemy feature states you have advantage on Wisdom (Survival) to track your favored enemy. Then it would be very strange for the Ranger not being able to find tracks he could easily follow due to his advantage on a check. And what if the Ranger for some reason is not proficient in perception would never be able to find tracks so not able to follow any?

So, the question is easy but I fear the answer is not as I was not able to find a straight answer to it.

I want to make sure that any character who want to become a good tracker (either through ranger or rogue sub-class) can do so. I feel that having to be good at 2 or 3 skills to accomplish one thing (i.e.tracking) is not the common usage of skills in 5e.

thanks for helping out.

Pathfinding algorithm isn’t finding correct route

I am attempting an online coding challenge wherein I am to implement a pathfinding algorithm that finds the shortest path between two points on a 2D grid. The code that is submitted is tested against a number of test cases that I, unfortunately, am unable to see, but it will however tell me if my answer for shortest distance is correct or not. My implementation of the A* algorithm returns a correct answer on 2/3 test cases and I cannot seem to figure out what scenario might create an incorrect answer on the third?

I have tried several of my own test cases and have gotten correct answers for all of those and at this point am feeling a little bit lost. There must be something small in my code that I am not seeing that is causing this third case to fail.

More details

  • The grid is w by h and contains only 1’s (passable) and 0’s (impassable) with every edge having a cost of 1 and the pathway cannot move diagonally It all starts with the FindPath function which is to return the length of the shortest path, or -1 if no path is available
  • pOutBuffer is used to contain the path taken from beginning to end (excluding the starting point). If multiple paths are available then any will be accepted. So it isnt looking for one path in particular
  • I know the issue is not the result of time or memory inefficiency. I has to be either the distance returned is incorrect, or the values in pOutBuffer are incorrect.

Any help would be greatly appreciated as I am just about out of ideas as to what could possibly be wrong here. Thank you.

#include <set> #include <vector> #include <tuple> #include <queue> #include <unordered_map>  inline int PositionToIndex(const int x, const int y, const int w, const int h) {     return x >= 0 && y >= 0 && x < w  && y < h? x + y * w : -1; }  inline std::pair<int, int> IndexToPosition(const int i, const int w) {     return std::make_pair<int, int>(i % w, i / w); }  inline int Heuristic(const int xa, const int ya, const int xb, const int yb) {     return std::abs(xa - xb) + std::abs(ya - yb); }  class Map { public:     const unsigned char* mapData;     int width, height;      const std::vector<std::pair<int, int>> directions = { {1,0}, {0,1}, {-1,0}, {0,-1} };      Map(const unsigned char* pMap, const int nMapWidth, const int nMapHeight)     {         mapData = pMap;         width = nMapWidth;         height = nMapHeight;     }      inline bool IsWithinBounds(const int x, const int y)      {         return x >= 0 && y >= 0 && x < width && y < height;     }      inline bool IsPassable(const int i)     {         return mapData[i] == char(1);     }       std::vector<int> GetNeighbours(const int i)     {         std::vector<int> ret;          int x, y, neighbourIndex;         std::tie(x, y) = IndexToPosition(i, width);          for (auto pair : directions)         {             neighbourIndex = PositionToIndex(x + pair.first, y + pair.second, width, height);             if (neighbourIndex >= 0 && IsWithinBounds(x + pair.first, y + pair.second) && IsPassable(neighbourIndex))                 ret.push_back(neighbourIndex);         }          return ret;     } };  int FindPath(const int nStartX, const int nStartY,     const int nTargetX, const int nTargetY,     const unsigned char* pMap, const int nMapWidth, const int nMapHeight,     int* pOutBuffer, const int nOutBufferSize) {     int ret = -1;      // create the map     Map map(pMap, nMapWidth, nMapHeight);      // get start and end indecies     int targetIndex = PositionToIndex(nTargetX, nTargetY, nMapWidth, nMapHeight);     int startIndex = PositionToIndex(nStartX, nStartY, nMapWidth, nMapHeight);          // if start and end are same exit     if (targetIndex == startIndex) return 0;          std::unordered_map<int, int> pathway = { {startIndex, startIndex} };     std::unordered_map<int, int> distances = { {startIndex, 0} };      // queue for indecies to process     typedef std::pair<int, int> WeightedLocation;     std::priority_queue<WeightedLocation, std::vector<WeightedLocation>, std::greater<WeightedLocation>> queue;      queue.emplace(0, startIndex);          while (!queue.empty())     {         int currentWeight, currentIndex;         std::tie(currentWeight, currentIndex) =;         queue.pop();          if (currentIndex == targetIndex)             break;          int newDistance = distances[currentIndex] + 1;         for (int n : map.GetNeighbours(currentIndex))         {             if (distances.find(n) == distances.end() || newDistance < distances[n])             {                 distances[n] = newDistance;                  int weight = newDistance + Heuristic(n % nMapWidth, n / nMapWidth, nTargetX, nTargetY);                 queue.emplace(weight, n);                 pathway[n] = currentIndex;             }         }     }      if (pathway.find(targetIndex) != pathway.end())     {         int current = targetIndex;          while (current != startIndex)         {             int outIndex = distances[current] - 1;             pOutBuffer[distances[current] - 1] = current;             current = pathway[current];         }         ret = distances[targetIndex];     }          return ret; } 

Finding the most frequent element, given that it’s Theta(n)-frequent?

We know [Ben-Or 1983] that deciding whether all elements in an array are distinct requires $ \Theta(n \log(n))$ time; and this problem reduces to finding the most frequent element, so it takes $ \Theta(n \log(n))$ time to find the most frequent element (assuming the domain of the array elements is not small).

But what happens when you know that there’s an element with frequency at least $ \alpha \cdot n$ ? Can you then decide the problem, or determine what the element is, in linear time (in $ n$ , not necessarily in $ 1/\alpha$ ) and deterministically?

Finding a boolean submatrix isomorphic to a specific set of other boolean matrices

Given a matrix $ M$ of certain size $ h\times w$ , where $ h\leq w$ , for example $ 5\times 6$ , are also given the following set $ A$ of (a)dditional matrices:

$ $ \begin{matrix} Matrices: & \begin{bmatrix} % 2 x 5 1 & 1 & 1 & 1 & 1\ 1 & 1 & 1 & 1 & 1 \end{bmatrix} & \begin{bmatrix} % 3 x 4 1 & 1 & 1 & 1\ 1 & 1 & 1 & 1\ 1 & 1 & 1 & 1 \end{bmatrix} & \begin{bmatrix} % 4 x 3 1 & 1 & 1\ 1 & 1 & 1\ 1 & 1 & 1\ 1 & 1 & 1 \end{bmatrix} & \begin{bmatrix} % 5 x 2 1 & 1\ 1 & 1\ 1 & 1\ 1 & 1\ 1 & 1 \end{bmatrix}\ Sizes: & 2 \times w – 1 & 3 \times w – 2 & 4\times w – 3 & 5\times w – 4 \end{matrix} $ $

As you can see, this specific set of matrices follows the pattern of containing only $ 1$ s, with sizes starting from $ 2\times w – 1$ up to $ h\times w – h + 1$ .

The problem is finding a submatrix of $ M$ that is isomorphic with any of the matrices in the set $ A$ . In case there is more than one solution, the result is any submatrix of maximum height first, and in case there’s again multiple candidates, any submatrix with maximum width.

The problem have the following properties:

  • $ 2 \leq h \leq w$ .
  • Each row of $ M$ has at least one $ 0$ .
  • Deduced from the way $ A$ is generated, for each $ a\in A$ of size $ a_h\times a_w$ , it happens that $ a_h + a_w – 1 = w$ .
  • The operations you can apply to $ M$ to check for homomorphism are the usual ones, you can swap rows between them, or columns betweem them, but you cannot sum or substract rows or columns between them as in lineal algebra.

I have spend already a couple of days trying to construct a polynomial-time algorithm for this problem but I don’t see it clearly. Is this problem NP-hard, taking into account all of the restrictions it has?

I’m looking for any strategy that implies to "normalize" $ M$ by applying a set of row or column swapping in a way that, in case there’s a solution, it’s in the "top left" corner of $ M$ . I have also explore the possibility of using the rank of $ M$ to see if there’s some pattern regarding its potential solution, etc. I have also try to sort the columns and rows by number of $ 1$ s and that kind of things, but my background on lineal algebra in very limited, and so it is my set of mathematical "tricks" to characterize $ M$ regarding $ A$ .

NOTE: The maximum subarray problem is similar to this one, but take notice that my best solution is not neccesarily the maximum one. If, for example, the solution submatrices of size $ 3\times 4$ and $ 5\times 2$ exists, the "best solution" is $ 5\times 2$ , because it has a bigger height, although it’s has less number of $ 1$ s.

NOTE: The graph homomorphism problem is also similar, but take notice that $ M$ is not equivalent to an adjacency matrix because it’s not square or symmetrical.

Finding a valid equation for fixed point problem

I currently am working on learning more about fixed point method. Finding equations that satisfy the constraints of a g function can sometimes require a bit of engineering. I have come across one that many would consider simple. Yet, I have been stuck on it for some time now.

Here it is $ f(x) = x^2 – x – 2 = 0 $ on $ [1.5,3]$ .

I have tried many things; however, I have yet to successfully discover one that maps domain to range for both $ g$ and $ g^\prime$ .

Would anyone be able to give me a guiding hand?