chore: add chart of supra competive pricing

paper/src/chapters/03-methodology.tex

@@ -317,7 +317,7 @@ We also need to think about a policy like taxation to the agents Strategy-Proof
 
 \subsubsection{Pricing Mechanism Summary}
 
-We now present the complete pricing mechanism that integrates the behavioral separability, contamination estimation, and robust optimization components developed in the preceding sections. Algorithm~\ref{alg:phantom_pricing_loop} formalizes the defensive pricing loop as a Stackelberg game where the platform (leader) sets prices and the aggregate demand (follower) responds through observed session trajectories.
+We now present the complete pricing mechanism that integrates the behavioral separability, contamination estimation, and robust optimization components developed in the preceding sections. Algorithm~\ref{alg:phantom_loop_clean} formalizes the defensive pricing loop as a Stackelberg game where the platform (leader) sets prices and the aggregate demand (follower) responds through observed session trajectories.
 
 \begin{algorithm}[t]
 \caption{PHANTOM defensive pricing loop (bachelor-thesis level)}

paper/src/chapters/04-results.tex

@@ -1,4 +1,10 @@
 \section{Results}
+\begin{figure}[ht]
+    \centering
+    \input{chapters/figures/supra.tex}
+    \caption{Evolution of price distributions over experiment steps. The heatmap illustrates the density of price offerings. This is an early baseline simulation which demonstrates supra-competitive price-setting in deep learning agents such as SAC as can be clearly seen by the high density at the highest available price.}
+    \label{fig:supra_heatmap}
+\end{figure}
 
 \subsection{Behavioral Analysis}
 

paper/src/chapters/figures/process_supra.py

@@ -0,0 +1,131 @@
+import pandas as pd
+import json
+import numpy as np
+import sys
+import os
+
+
+def process_supra(input_file, output_file):
+    print(f"Processing {input_file} -> {output_file}")
+
+    # Read the CSV
+    try:
+        # The CSV has a weird format: "Step","giddy-deluge-6 - distributions/prices"
+        # The header is on line 1.
+        # Let's verify the file content format first effectively.
+        # The previous read showed standard CSV with quoted fields.
+        df = pd.read_csv(input_file, quotechar='"', skipinitialspace=True)
+    except Exception as e:
+        print(f"Error reading CSV: {e}")
+        return
+
+    # Prepare for re-binning
+    # We need a common set of bins to plot a heatmap (surface)
+    # First, let's collect all data to determine range
+    all_min = float("inf")
+    all_max = float("-inf")
+
+    parsed_data = []
+
+    # The column names might be dynamic, so let's rely on indices
+    # Column 0: Step
+    # Column 1: JSON blob
+
+    for index, row in df.iterrows():
+        try:
+            step = int(row.iloc[0])
+            json_str = row.iloc[1]
+
+            # Cleaning potential double quotes issue if pandas didn't catch it perfect
+            # but pandas read_csv usually handles standard CSV escaping well.
+
+            data = json.loads(json_str)
+
+            bins = np.array(data["bins"])
+            values = np.array(data["values"])
+
+            # Update global range
+            if bins.min() < all_min:
+                all_min = bins.min()
+            if bins.max() > all_max:
+                all_max = bins.max()
+
+            parsed_data.append({"step": step, "bins": bins, "values": values})
+        except Exception as e:
+            print(f"Skipping row {index} due to error: {e}")
+            continue
+
+    if not parsed_data:
+        print("No data parsed.")
+        return
+
+    print(f"Found {len(parsed_data)} steps. Range: {all_min} to {all_max}")
+
+    # Define common grid
+    # Y-axis (Price)
+    # Using 100 bins for resolution
+    y_bins_edges = np.linspace(all_min, all_max, 101)
+    y_bin_centers = (y_bins_edges[:-1] + y_bins_edges[1:]) / 2
+
+    # Open output file
+    with open(output_file, "w") as f:
+        # PGFPlots 3D format often prefers no header or a specific header.
+        # We will use named columns.
+        f.write("step,price,density\n")
+
+        # Sort by step to ensure correct mesh ordering
+        parsed_data.sort(key=lambda x: x["step"])
+
+        for item in parsed_data:
+            step = item["step"]
+            original_bins = item["bins"]
+            original_values = item["values"]
+
+            # Re-binning logic
+            current_new_hist = np.zeros(len(y_bin_centers))
+
+            for i, (new_start, new_end) in enumerate(
+                zip(y_bins_edges[:-1], y_bins_edges[1:])
+            ):
+                val = 0.0
+                # This inner loop is slightly inefficient O(N*M) but N~3000, M~100 -> 300k ops, totally fine.
+                for j in range(len(original_values)):
+                    b_start = original_bins[j]
+                    # Handle cases where values array might be 1 shorter than bins (histogram edges vs centers)
+                    # The provided JSON has "bins" array larger than "values" by 1 usually for edges.
+                    if j + 1 >= len(original_bins):
+                        break
+
+                    b_end = original_bins[j + 1]
+                    b_width = b_end - b_start
+
+                    if b_width <= 0:
+                        continue
+
+                    # Calculate overlap
+                    overlap_start = max(new_start, b_start)
+                    overlap_end = min(new_end, b_end)
+                    overlap = max(0, overlap_end - overlap_start)
+
+                    if overlap > 0:
+                        # Add proportional count
+                        val += original_values[j] * (overlap / b_width)
+
+                current_new_hist[i] = val
+
+            # Write row to file for this step
+            for price, density in zip(y_bin_centers, current_new_hist):
+                # PGFPlots expects x y z
+                f.write(f"{step},{price},{density}\n")
+
+            # Add a blank line for PGFPlots matrix format (essential for 'mesh' or 'surf')
+            f.write("\n")
+
+
+if __name__ == "__main__":
+    # Resolve relative paths relative to where script is run, or use absolute
+    base_dir = os.path.dirname(os.path.abspath(__file__))
+    input_path = os.path.join(base_dir, "supra.csv")
+    output_path = os.path.join(base_dir, "supra_data.csv")
+
+    process_supra(input_path, output_path)

paper/src/chapters/figures/supra.csv

@@ -0,0 +1,41 @@
+"Step","giddy-deluge-6 - distributions/prices"
+"100","{""values"":[2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1],""_type"":""histogram"",""bins"":[15.76888656616211,17.813893377780914,19.85890018939972,21.903907001018524,23.94891381263733,25.993920624256134,28.03892743587494,30.083934247493744,32.12894105911255,34.173947870731354,36.21895468235016,38.263961493968964,40.30896830558777,42.35397511720657,44.39898192882538,46.44398874044418,48.48899555206299,50.53400236368179,52.5790091753006,54.6240159869194,56.66902279853821,58.71402961015701,60.75903642177582,62.80404323339462,64.84905004501343,66.89405685663223,68.93906366825104,70.98407047986984,73.02907729148865,75.07408410310745,77.11909091472626,79.16409772634506,81.20910453796387,83.25411134958267,85.29911816120148,87.34412497282028,89.38913178443909,91.43413859605789,93.4791454076767,95.5241522192955,97.5691590309143,99.61416584253311,101.65917265415192,103.70417946577072,105.74918627738953,107.79419308900833,109.83919990062714,111.88420671224594,113.92921352386475,115.97422033548355,118.01922714710236,120.06423395872116,122.10924077033997,124.15424758195877,126.19925439357758,128.24426120519638,130.28926801681519,132.334274828434,134.3792816400528,136.4242884516716,138.4692952632904,140.5143020749092,142.55930888652802,144.60431569814682,146.64932250976562]}"
+"200","{""_type"":""histogram"",""values"":[1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3],""bins"":[10.439504623413086,12.620137363672256,14.800770103931427,16.981402844190598,19.162035584449768,21.34266832470894,23.52330106496811,25.70393380522728,27.88456654548645,30.06519928574562,32.24583202600479,34.42646476626396,36.60709750652313,38.7877302467823,40.96836298704147,43.148995727300644,45.329628467559814,47.510261207818985,49.690893948078156,51.871526688337326,54.0521594285965,56.23279216885567,58.41342490911484,60.59405764937401,62.77469038963318,64.95532312989235,67.13595587015152,69.31658861041069,71.49722135066986,73.67785409092903,75.8584868311882,78.03911957144737,80.21975231170654,82.40038505196571,84.58101779222488,86.76165053248405,88.94228327274323,91.1229160130024,93.30354875326157,95.48418149352074,97.66481423377991,99.84544697403908,102.02607971429825,104.20671245455742,106.38734519481659,108.56797793507576,110.74861067533493,112.9292434155941,115.10987615585327,117.29050889611244,119.47114163637161,121.65177437663078,123.83240711688995,126.01303985714912,128.1936725974083,130.37430533766747,132.55493807792664,134.7355708181858,136.91620355844498,139.09683629870415,141.27746903896332,143.4581017792225,145.63873451948166,147.81936725974083,150]}"
+"300","{""bins"":[92.91828918457031,93.81018829345703,94.70209503173828,95.593994140625,96.48589324951172,97.37779998779297,98.26969909667969,99.1615982055664,100.05350494384766,100.94540405273438,101.83731079101562,102.72920989990234,103.62110900878906,104.51301574707031,105.40491485595703,106.29681396484375,107.188720703125,108.08061981201172,108.97251892089844,109.86442565917969,110.7563247680664,111.64822387695312,112.54013061523438,113.4320297241211,114.32392883300781,115.21583557128906,116.10773468017578,116.9996337890625,117.89154052734375,118.78343963623047,119.67533874511719,120.56724548339844,121.45914459228516,122.35104370117188,123.24295043945312,124.13484954833984,125.02674865722656,125.91865539550781,126.81055450439453,127.70245361328125,128.5943603515625,129.48626708984375,130.37815856933594,131.2700653076172,132.16195678710938,133.05386352539062,133.94577026367188,134.83767700195312,135.7295684814453,136.62147521972656,137.51336669921875,138.4052734375,139.29718017578125,140.1890869140625,141.0809783935547,141.97288513183594,142.86477661132812,143.75668334960938,144.64859008789062,145.54049682617188,146.43238830566406,147.3242950439453,148.21620178222656,149.10809326171875,150],""_type"":""histogram"",""values"":[1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,3]}"
+"400","{""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,3,0,0,0,3],""bins"":[141.8555450439453,141.98280334472656,142.1100616455078,142.23731994628906,142.3645782470703,142.49183654785156,142.6190948486328,142.746337890625,142.87359619140625,143.0008544921875,143.12811279296875,143.25537109375,143.38262939453125,143.5098876953125,143.63714599609375,143.764404296875,143.89166259765625,144.0189208984375,144.14617919921875,144.2734375,144.4006805419922,144.52793884277344,144.6551971435547,144.78245544433594,144.9097137451172,145.03697204589844,145.1642303466797,145.29148864746094,145.4187469482422,145.54600524902344,145.6732635498047,145.80052185058594,145.92776489257812,146.05502319335938,146.18228149414062,146.30953979492188,146.43679809570312,146.56405639648438,146.69131469726562,146.81857299804688,146.94583129882812,147.07308959960938,147.20034790039062,147.32760620117188,147.45486450195312,147.58212280273438,147.70936584472656,147.8366241455078,147.96388244628906,148.0911407470703,148.21839904785156,148.3456573486328,148.47291564941406,148.6001739501953,148.72743225097656,148.8546905517578,148.98194885253906,149.1092071533203,149.2364501953125,149.36370849609375,149.490966796875,149.61822509765625,149.7454833984375,149.87274169921875,150],""_type"":""histogram""}"
+"500","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,3],""bins"":[142.30267333984375,142.42294311523438,142.543212890625,142.66348266601562,142.78375244140625,142.90402221679688,143.0242919921875,143.14456176757812,143.26483154296875,143.38511657714844,143.50538635253906,143.6256561279297,143.7459259033203,143.86619567871094,143.98646545410156,144.1067352294922,144.2270050048828,144.34727478027344,144.46754455566406,144.5878143310547,144.7080841064453,144.82835388183594,144.94862365722656,145.0688934326172,145.18917846679688,145.3094482421875,145.42971801757812,145.54998779296875,145.67025756835938,145.79052734375,145.91079711914062,146.03106689453125,146.15133666992188,146.2716064453125,146.39187622070312,146.51214599609375,146.63241577148438,146.752685546875,146.87295532226562,146.99322509765625,147.11349487304688,147.23377990722656,147.3540496826172,147.4743194580078,147.59458923339844,147.71485900878906,147.8351287841797,147.9553985595703,148.07566833496094,148.19593811035156,148.3162078857422,148.4364776611328,148.55674743652344,148.67701721191406,148.7972869873047,148.9175567626953,149.037841796875,149.15811157226562,149.27838134765625,149.39865112304688,149.5189208984375,149.63919067382812,149.75946044921875,149.87973022460938,150]}"
+"600","{""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,3],""bins"":[143.02142333984375,143.13046264648438,143.239501953125,143.34854125976562,143.45758056640625,143.56661987304688,143.6756591796875,143.78469848632812,143.89373779296875,144.00279235839844,144.11183166503906,144.2208709716797,144.3299102783203,144.43894958496094,144.54798889160156,144.6570281982422,144.7660675048828,144.87510681152344,144.98414611816406,145.0931854248047,145.2022247314453,145.31126403808594,145.42030334472656,145.5293426513672,145.63839721679688,145.7474365234375,145.85647583007812,145.96551513671875,146.07455444335938,146.18359375,146.29263305664062,146.40167236328125,146.51071166992188,146.6197509765625,146.72879028320312,146.83782958984375,146.94686889648438,147.055908203125,147.16494750976562,147.27398681640625,147.38302612304688,147.49208068847656,147.6011199951172,147.7101593017578,147.81919860839844,147.92823791503906,148.0372772216797,148.1463165283203,148.25535583496094,148.36439514160156,148.4734344482422,148.5824737548828,148.69151306152344,148.80055236816406,148.9095916748047,149.0186309814453,149.127685546875,149.23672485351562,149.34576416015625,149.45480346679688,149.5638427734375,149.67288208007812,149.78192138671875,149.89096069335938,150],""_type"":""histogram""}"
+"700","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,3],""bins"":[147.6887969970703,147.72491455078125,147.76101684570312,147.79713439941406,147.833251953125,147.86935424804688,147.9054718017578,147.94158935546875,147.97769165039062,148.01380920410156,148.0499267578125,148.08602905273438,148.1221466064453,148.15826416015625,148.19436645507812,148.23048400878906,148.2666015625,148.30270385742188,148.3388214111328,148.37493896484375,148.41104125976562,148.44715881347656,148.4832763671875,148.51937866210938,148.5554962158203,148.59161376953125,148.62771606445312,148.66383361816406,148.699951171875,148.73605346679688,148.7721710205078,148.80828857421875,148.84439086914062,148.88050842285156,148.9166259765625,148.95274353027344,148.9888458251953,149.02496337890625,149.0610809326172,149.09718322753906,149.13330078125,149.16941833496094,149.2055206298828,149.24163818359375,149.2777557373047,149.31385803222656,149.3499755859375,149.38609313964844,149.4221954345703,149.45831298828125,149.4944305419922,149.53053283691406,149.566650390625,149.60276794433594,149.6388702392578,149.67498779296875,149.7111053466797,149.74720764160156,149.7833251953125,149.81944274902344,149.8555450439453,149.89166259765625,149.9277801513672,149.96388244628906,150]}"
+"800","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,3],""bins"":[149.21865844726562,149.23086547851562,149.24307250976562,149.25527954101562,149.26748657226562,149.27969360351562,149.2919158935547,149.3041229248047,149.3163299560547,149.3285369873047,149.3407440185547,149.3529510498047,149.3651580810547,149.3773651123047,149.3895721435547,149.4017791748047,149.41400146484375,149.42620849609375,149.43841552734375,149.45062255859375,149.46282958984375,149.47503662109375,149.48724365234375,149.49945068359375,149.51165771484375,149.52386474609375,149.53607177734375,149.5482940673828,149.5605010986328,149.5727081298828,149.5849151611328,149.5971221923828,149.6093292236328,149.6215362548828,149.6337432861328,149.6459503173828,149.6581573486328,149.6703643798828,149.68258666992188,149.69479370117188,149.70700073242188,149.71920776367188,149.73141479492188,149.74362182617188,149.75582885742188,149.76803588867188,149.78024291992188,149.79244995117188,149.80465698242188,149.81687927246094,149.82908630371094,149.84129333496094,149.85350036621094,149.86570739746094,149.87791442871094,149.89012145996094,149.90232849121094,149.91453552246094,149.92674255371094,149.93896484375,149.951171875,149.96337890625,149.9755859375,149.98779296875,150]}"
+"900","{""_type"":""histogram"",""values"":[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3],""bins"":[149.2405548095703,149.25242614746094,149.2642822265625,149.27615356445312,149.28802490234375,149.2998809814453,149.31175231933594,149.32362365722656,149.33547973632812,149.34735107421875,149.35922241210938,149.37107849121094,149.38294982910156,149.3948211669922,149.40667724609375,149.41854858398438,149.430419921875,149.44227600097656,149.4541473388672,149.4660186767578,149.47787475585938,149.48974609375,149.50161743164062,149.5134735107422,149.5253448486328,149.53721618652344,149.549072265625,149.56094360351562,149.57281494140625,149.5846710205078,149.59654235839844,149.60841369628906,149.62026977539062,149.63214111328125,149.64401245117188,149.6558837890625,149.66773986816406,149.6796112060547,149.6914825439453,149.70333862304688,149.7152099609375,149.72708129882812,149.7389373779297,149.7508087158203,149.76268005371094,149.7745361328125,149.78640747070312,149.79827880859375,149.8101348876953,149.82200622558594,149.83387756347656,149.84573364257812,149.85760498046875,149.86947631835938,149.88133239746094,149.89320373535156,149.9050750732422,149.91693115234375,149.92880249023438,149.940673828125,149.95252990722656,149.9644012451172,149.9762725830078,149.98812866210938,150]}"
+"1000","{""bins"":[149.04977416992188,149.0646209716797,149.0794677734375,149.0943145751953,149.10916137695312,149.12400817871094,149.13885498046875,149.15370178222656,149.16854858398438,149.1833953857422,149.1982421875,149.2130889892578,149.22793579101562,149.24278259277344,149.25762939453125,149.27247619628906,149.28732299804688,149.30218505859375,149.31703186035156,149.33187866210938,149.3467254638672,149.361572265625,149.3764190673828,149.39126586914062,149.40611267089844,149.42095947265625,149.43580627441406,149.45065307617188,149.4654998779297,149.4803466796875,149.4951934814453,149.51004028320312,149.52488708496094,149.53973388671875,149.55458068847656,149.56942749023438,149.5842742919922,149.59912109375,149.6139678955078,149.62881469726562,149.64366149902344,149.65850830078125,149.67335510253906,149.68820190429688,149.7030487060547,149.7178955078125,149.7327423095703,149.74758911132812,149.762451171875,149.7772979736328,149.79214477539062,149.80699157714844,149.82183837890625,149.83668518066406,149.85153198242188,149.8663787841797,149.8812255859375,149.8960723876953,149.91091918945312,149.92576599121094,149.94061279296875,149.95545959472656,149.97030639648438,149.9851531982422,150],""_type"":""histogram"",""values"":[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,3]}"
+"1100","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,3],""bins"":[149.34432983398438,149.3545684814453,149.3648223876953,149.37506103515625,149.38531494140625,149.3955535888672,149.40579223632812,149.41604614257812,149.42628479003906,149.43653869628906,149.44677734375,149.45701599121094,149.46726989746094,149.47750854492188,149.48776245117188,149.4980010986328,149.50823974609375,149.51849365234375,149.5287322998047,149.5389862060547,149.54922485351562,149.55947875976562,149.56971740722656,149.5799560546875,149.5902099609375,149.60044860839844,149.61070251464844,149.62094116210938,149.6311798095703,149.6414337158203,149.65167236328125,149.66192626953125,149.6721649169922,149.68240356445312,149.69265747070312,149.70289611816406,149.71315002441406,149.723388671875,149.73362731933594,149.74388122558594,149.75411987304688,149.76437377929688,149.7746124267578,149.78485107421875,149.79510498046875,149.8053436279297,149.8155975341797,149.82583618164062,149.83609008789062,149.84632873535156,149.8565673828125,149.8668212890625,149.87705993652344,149.88731384277344,149.89755249023438,149.9077911376953,149.9180450439453,149.92828369140625,149.93853759765625,149.9487762451172,149.95901489257812,149.96926879882812,149.97950744628906,149.98976135253906,150]}"
+"1200","{""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,3],""bins"":[148.93704223632812,148.95364379882812,148.9702606201172,148.9868621826172,149.00347900390625,149.02008056640625,149.0366973876953,149.0532989501953,149.06991577148438,149.08651733398438,149.10313415527344,149.11973571777344,149.1363525390625,149.1529541015625,149.16957092285156,149.18617248535156,149.20278930664062,149.21939086914062,149.23599243164062,149.2526092529297,149.2692108154297,149.28582763671875,149.30242919921875,149.3190460205078,149.3356475830078,149.35226440429688,149.36886596679688,149.38548278808594,149.40208435058594,149.418701171875,149.435302734375,149.45191955566406,149.46852111816406,149.48512268066406,149.50173950195312,149.51834106445312,149.5349578857422,149.5515594482422,149.56817626953125,149.58477783203125,149.6013946533203,149.6179962158203,149.63461303710938,149.65121459960938,149.66783142089844,149.68443298339844,149.7010498046875,149.7176513671875,149.7342529296875,149.75086975097656,149.76747131347656,149.78408813476562,149.80068969726562,149.8173065185547,149.8339080810547,149.85052490234375,149.86712646484375,149.8837432861328,149.9003448486328,149.91696166992188,149.93356323242188,149.95018005371094,149.96678161621094,149.9833984375,150],""_type"":""histogram""}"
+"1300","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3],""bins"":[149.0462646484375,149.06117248535156,149.07606506347656,149.09097290039062,149.10586547851562,149.1207733154297,149.13568115234375,149.15057373046875,149.1654815673828,149.18038940429688,149.19528198242188,149.21018981933594,149.22509765625,149.239990234375,149.25489807128906,149.26979064941406,149.28469848632812,149.2996063232422,149.3144989013672,149.32940673828125,149.34429931640625,149.3592071533203,149.37411499023438,149.38900756835938,149.40391540527344,149.4188232421875,149.4337158203125,149.44862365722656,149.46353149414062,149.47842407226562,149.4933319091797,149.5082244873047,149.52313232421875,149.5380401611328,149.5529327392578,149.56784057617188,149.58273315429688,149.59764099121094,149.612548828125,149.62744140625,149.64234924316406,149.65725708007812,149.67214965820312,149.6870574951172,149.70196533203125,149.71685791015625,149.7317657470703,149.7466583251953,149.76156616210938,149.77647399902344,149.79136657714844,149.8062744140625,149.8211669921875,149.83607482910156,149.85098266601562,149.86587524414062,149.8807830810547,149.89569091796875,149.91058349609375,149.9254913330078,149.94039916992188,149.95529174804688,149.97019958496094,149.98509216308594,150]}"
+"1400","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,4],""bins"":[148.76895141601562,148.78819274902344,148.8074188232422,148.82666015625,148.84588623046875,148.86512756347656,148.88436889648438,148.90359497070312,148.92283630371094,148.9420623779297,148.9613037109375,148.9805450439453,148.99977111816406,149.01901245117188,149.03823852539062,149.05747985839844,149.07672119140625,149.095947265625,149.1151885986328,149.13441467285156,149.15365600585938,149.17288208007812,149.19212341308594,149.21136474609375,149.2305908203125,149.2498321533203,149.26905822753906,149.28829956054688,149.3075408935547,149.32676696777344,149.34600830078125,149.365234375,149.3844757080078,149.40371704101562,149.42294311523438,149.4421844482422,149.46141052246094,149.48065185546875,149.49989318847656,149.5191192626953,149.53836059570312,149.55758666992188,149.5768280029297,149.5960693359375,149.61529541015625,149.63453674316406,149.6537628173828,149.67300415039062,149.69223022460938,149.7114715576172,149.730712890625,149.74993896484375,149.76918029785156,149.7884063720703,149.80764770507812,149.82688903808594,149.8461151123047,149.8653564453125,149.88458251953125,149.90382385253906,149.92306518554688,149.94229125976562,149.96153259277344,149.9807586669922,150]}"
+"1500","{""bins"":[149.55426025390625,149.56121826171875,149.5681915283203,149.5751495361328,149.58212280273438,149.58908081054688,149.59605407714844,149.60301208496094,149.6099853515625,149.616943359375,149.6239013671875,149.63087463378906,149.63783264160156,149.64480590820312,149.65176391601562,149.6587371826172,149.6656951904297,149.6726531982422,149.67962646484375,149.68658447265625,149.6935577392578,149.7005157470703,149.70748901367188,149.71444702148438,149.72140502929688,149.72837829589844,149.73533630371094,149.7423095703125,149.749267578125,149.75624084472656,149.76319885253906,149.77017211914062,149.77713012695312,149.78408813476562,149.7910614013672,149.7980194091797,149.80499267578125,149.81195068359375,149.8189239501953,149.8258819580078,149.83285522460938,149.83981323242188,149.84677124023438,149.85374450683594,149.86070251464844,149.86767578125,149.8746337890625,149.88160705566406,149.88856506347656,149.89552307128906,149.90249633789062,149.90945434570312,149.9164276123047,149.9233856201172,149.93035888671875,149.93731689453125,149.94427490234375,149.9512481689453,149.9582061767578,149.96517944335938,149.97213745117188,149.97911071777344,149.98606872558594,149.9930419921875,150],""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,3]}"
+"1600","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,3],""bins"":[149.17001342773438,149.1829833984375,149.19595336914062,149.20892333984375,149.22189331054688,149.23486328125,149.24781799316406,149.2607879638672,149.2737579345703,149.28672790527344,149.29969787597656,149.3126678466797,149.3256378173828,149.33860778808594,149.35157775878906,149.3645477294922,149.37750244140625,149.39047241210938,149.4034423828125,149.41641235351562,149.42938232421875,149.44235229492188,149.455322265625,149.46829223632812,149.48126220703125,149.49423217773438,149.5072021484375,149.52015686035156,149.5331268310547,149.5460968017578,149.55906677246094,149.57203674316406,149.5850067138672,149.5979766845703,149.61094665527344,149.62391662597656,149.6368865966797,149.6498565673828,149.66281127929688,149.67578125,149.68875122070312,149.70172119140625,149.71469116210938,149.7276611328125,149.74063110351562,149.75360107421875,149.76657104492188,149.779541015625,149.79251098632812,149.8054656982422,149.8184356689453,149.83140563964844,149.84437561035156,149.8573455810547,149.8703155517578,149.88328552246094,149.89625549316406,149.9092254638672,149.9221954345703,149.93515014648438,149.9481201171875,149.96109008789062,149.97406005859375,149.98703002929688,150]}"
+"1700","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3],""bins"":[149.36141967773438,149.37139892578125,149.38137817382812,149.391357421875,149.40133666992188,149.41131591796875,149.42127990722656,149.43125915527344,149.4412384033203,149.4512176513672,149.46119689941406,149.47117614746094,149.4811553955078,149.4911346435547,149.50111389160156,149.51109313964844,149.52105712890625,149.53103637695312,149.541015625,149.55099487304688,149.56097412109375,149.57095336914062,149.5809326171875,149.59091186523438,149.60089111328125,149.61087036132812,149.620849609375,149.6308135986328,149.6407928466797,149.65077209472656,149.66075134277344,149.6707305908203,149.6807098388672,149.69068908691406,149.70066833496094,149.7106475830078,149.7206268310547,149.73060607910156,149.74057006835938,149.75054931640625,149.76052856445312,149.7705078125,149.78048706054688,149.79046630859375,149.80044555664062,149.8104248046875,149.82040405273438,149.83038330078125,149.84036254882812,149.85032653808594,149.8603057861328,149.8702850341797,149.88026428222656,149.89024353027344,149.9002227783203,149.9102020263672,149.92018127441406,149.93016052246094,149.9401397705078,149.95010375976562,149.9600830078125,149.97006225585938,149.98004150390625,149.99002075195312,150]}"
+"1800","{""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,3],""bins"":[149.42300415039062,149.43202209472656,149.4410400390625,149.45005798339844,149.4590606689453,149.46807861328125,149.4770965576172,149.48611450195312,149.49513244628906,149.504150390625,149.51315307617188,149.5221710205078,149.53118896484375,149.5402069091797,149.54922485351562,149.55824279785156,149.5672607421875,149.57626342773438,149.5852813720703,149.59429931640625,149.6033172607422,149.61233520507812,149.62135314941406,149.63035583496094,149.63937377929688,149.6483917236328,149.65740966796875,149.6664276123047,149.67544555664062,149.6844482421875,149.69346618652344,149.70248413085938,149.7115020751953,149.72052001953125,149.7295379638672,149.73855590820312,149.74755859375,149.75657653808594,149.76559448242188,149.7746124267578,149.78363037109375,149.7926483154297,149.80165100097656,149.8106689453125,149.81968688964844,149.82870483398438,149.8377227783203,149.84674072265625,149.85574340820312,149.86476135253906,149.873779296875,149.88279724121094,149.89181518554688,149.9008331298828,149.90985107421875,149.91885375976562,149.92787170410156,149.9368896484375,149.94590759277344,149.95492553710938,149.9639434814453,149.9729461669922,149.98196411132812,149.99098205566406,150],""_type"":""histogram""}"
+"1900","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,3],""bins"":[148.7623748779297,148.78170776367188,148.80105590820312,148.8203887939453,148.8397216796875,148.85906982421875,148.87840270996094,148.89773559570312,148.91708374023438,148.93641662597656,148.95574951171875,148.97509765625,148.9944305419922,149.01376342773438,149.03311157226562,149.0524444580078,149.07177734375,149.09112548828125,149.11045837402344,149.12979125976562,149.14913940429688,149.16847229003906,149.18780517578125,149.2071533203125,149.2264862060547,149.24581909179688,149.26516723632812,149.2845001220703,149.3038330078125,149.32318115234375,149.34251403808594,149.36184692382812,149.38119506835938,149.40052795410156,149.41986083984375,149.43919372558594,149.4585418701172,149.47787475585938,149.49720764160156,149.5165557861328,149.535888671875,149.5552215576172,149.57456970214844,149.59390258789062,149.6132354736328,149.63258361816406,149.65191650390625,149.67124938964844,149.6905975341797,149.70993041992188,149.72926330566406,149.7486114501953,149.7679443359375,149.7872772216797,149.80662536621094,149.82595825195312,149.8452911376953,149.86463928222656,149.88397216796875,149.90330505371094,149.9226531982422,149.94198608398438,149.96131896972656,149.9806671142578,150]}"
+"2000","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,3],""bins"":[149.5408477783203,149.5480194091797,149.55519104003906,149.5623779296875,149.56954956054688,149.57672119140625,149.58389282226562,149.591064453125,149.59823608398438,149.6054229736328,149.6125946044922,149.61976623535156,149.62693786621094,149.6341094970703,149.6412811279297,149.64846801757812,149.6556396484375,149.66281127929688,149.66998291015625,149.67715454101562,149.684326171875,149.69151306152344,149.6986846923828,149.7058563232422,149.71302795410156,149.72019958496094,149.7273712158203,149.73455810546875,149.74172973632812,149.7489013671875,149.75607299804688,149.76324462890625,149.77041625976562,149.77760314941406,149.78477478027344,149.7919464111328,149.7991180419922,149.80628967285156,149.8134765625,149.82064819335938,149.82781982421875,149.83499145507812,149.8421630859375,149.84933471679688,149.8565216064453,149.8636932373047,149.87086486816406,149.87803649902344,149.8852081298828,149.8923797607422,149.89956665039062,149.90673828125,149.91390991210938,149.92108154296875,149.92825317382812,149.9354248046875,149.94261169433594,149.9497833251953,149.9569549560547,149.96412658691406,149.97129821777344,149.9784698486328,149.98565673828125,149.99282836914062,150]}"
+"2100","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3],""bins"":[149.5018310546875,149.50961303710938,149.51739501953125,149.52517700195312,149.532958984375,149.54075622558594,149.5485382080078,149.5563201904297,149.56410217285156,149.57188415527344,149.5796661376953,149.5874481201172,149.59524536132812,149.60302734375,149.61080932617188,149.61859130859375,149.62637329101562,149.6341552734375,149.64193725585938,149.64971923828125,149.65750122070312,149.66529846191406,149.67308044433594,149.6808624267578,149.6886444091797,149.69642639160156,149.70420837402344,149.7119903564453,149.71978759765625,149.72756958007812,149.7353515625,149.74313354492188,149.75091552734375,149.75869750976562,149.7664794921875,149.77426147460938,149.78204345703125,149.7898406982422,149.79762268066406,149.80540466308594,149.8131866455078,149.8209686279297,149.82875061035156,149.83653259277344,149.84432983398438,149.85211181640625,149.85989379882812,149.86767578125,149.87545776367188,149.88323974609375,149.89102172851562,149.8988037109375,149.90658569335938,149.9143829345703,149.9221649169922,149.92994689941406,149.93772888183594,149.9455108642578,149.9532928466797,149.96107482910156,149.9688720703125,149.97665405273438,149.98443603515625,149.99221801757812,150]}"
+"2200","{""bins"":[149.558349609375,149.56524658203125,149.5721435546875,149.5790557861328,149.58595275878906,149.5928497314453,149.59976196289062,149.60665893554688,149.61355590820312,149.62045288085938,149.62734985351562,149.63426208496094,149.6411590576172,149.64805603027344,149.65496826171875,149.661865234375,149.66876220703125,149.6756591796875,149.68255615234375,149.68946838378906,149.6963653564453,149.70326232910156,149.71017456054688,149.71707153320312,149.72396850585938,149.73086547851562,149.73776245117188,149.7446746826172,149.75157165527344,149.7584686279297,149.765380859375,149.77227783203125,149.7791748046875,149.78607177734375,149.79296875,149.7998809814453,149.80677795410156,149.8136749267578,149.82058715820312,149.82748413085938,149.83438110351562,149.84127807617188,149.84817504882812,149.85508728027344,149.8619842529297,149.86888122558594,149.87579345703125,149.8826904296875,149.88958740234375,149.896484375,149.90338134765625,149.91029357910156,149.9171905517578,149.92408752441406,149.93099975585938,149.93789672851562,149.94479370117188,149.95169067382812,149.95858764648438,149.9654998779297,149.97239685058594,149.9792938232422,149.9862060546875,149.99310302734375,150],""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,3]}"
+"2300","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,3],""bins"":[149.1126251220703,149.12649536132812,149.14035034179688,149.1542205810547,149.1680908203125,149.18194580078125,149.19581604003906,149.20968627929688,149.22354125976562,149.23741149902344,149.25128173828125,149.26513671875,149.2790069580078,149.29287719726562,149.30673217773438,149.3206024169922,149.33447265625,149.34832763671875,149.36219787597656,149.37606811523438,149.38992309570312,149.40379333496094,149.41766357421875,149.4315185546875,149.4453887939453,149.45925903320312,149.47311401367188,149.4869842529297,149.5008544921875,149.51470947265625,149.52857971191406,149.54244995117188,149.55630493164062,149.57017517089844,149.58404541015625,149.59791564941406,149.6117706298828,149.62564086914062,149.63951110839844,149.6533660888672,149.667236328125,149.6811065673828,149.69496154785156,149.70883178710938,149.7227020263672,149.73655700683594,149.75042724609375,149.76429748535156,149.7781524658203,149.79202270507812,149.80589294433594,149.8197479248047,149.8336181640625,149.8474884033203,149.86134338378906,149.87521362304688,149.8890838623047,149.90293884277344,149.91680908203125,149.93067932128906,149.9445343017578,149.95840454101562,149.97227478027344,149.9861297607422,150]}"
+"2400","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3],""bins"":[149.71124267578125,149.71575927734375,149.7202606201172,149.7247772216797,149.7292938232422,149.73379516601562,149.73831176757812,149.74282836914062,149.74734497070312,149.75184631347656,149.75636291503906,149.76087951660156,149.765380859375,149.7698974609375,149.7744140625,149.77891540527344,149.78343200683594,149.78794860839844,149.79244995117188,149.79696655273438,149.80148315429688,149.8059844970703,149.8105010986328,149.8150177001953,149.81951904296875,149.82403564453125,149.82855224609375,149.83306884765625,149.8375701904297,149.8420867919922,149.8466033935547,149.85110473632812,149.85562133789062,149.86013793945312,149.86463928222656,149.86915588378906,149.87367248535156,149.878173828125,149.8826904296875,149.88720703125,149.8917236328125,149.89622497558594,149.90074157714844,149.90525817871094,149.90975952148438,149.91427612304688,149.91879272460938,149.9232940673828,149.9278106689453,149.9323272705078,149.93682861328125,149.94134521484375,149.94586181640625,149.9503631591797,149.9548797607422,149.9593963623047,149.96389770507812,149.96841430664062,149.97293090820312,149.97744750976562,149.98194885253906,149.98646545410156,149.99098205566406,149.9954833984375,150]}"
+"2500","{""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,3],""bins"":[149.58355712890625,149.59005737304688,149.59657287597656,149.6030731201172,149.60958862304688,149.6160888671875,149.6226043701172,149.6291046142578,149.6356201171875,149.64212036132812,149.64862060546875,149.65513610839844,149.66163635253906,149.66815185546875,149.67465209960938,149.68116760253906,149.6876678466797,149.6941680908203,149.70068359375,149.70718383789062,149.7136993408203,149.72019958496094,149.72671508789062,149.73321533203125,149.73971557617188,149.74623107910156,149.7527313232422,149.75924682617188,149.7657470703125,149.7722625732422,149.7787628173828,149.7852783203125,149.79177856445312,149.79827880859375,149.80479431152344,149.81129455566406,149.81781005859375,149.82431030273438,149.83082580566406,149.8373260498047,149.84384155273438,149.850341796875,149.85684204101562,149.8633575439453,149.86985778808594,149.87637329101562,149.88287353515625,149.88938903808594,149.89588928222656,149.9023895263672,149.90890502929688,149.9154052734375,149.9219207763672,149.9284210205078,149.9349365234375,149.94143676757812,149.94793701171875,149.95445251464844,149.96095275878906,149.96746826171875,149.97396850585938,149.98048400878906,149.9869842529297,149.99349975585938,150],""_type"":""histogram""}"
+"2600","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3],""bins"":[149.67474365234375,149.67982482910156,149.68490600585938,149.6899871826172,149.695068359375,149.7001495361328,149.70523071289062,149.71031188964844,149.71539306640625,149.72048950195312,149.72557067871094,149.73065185546875,149.73573303222656,149.74081420898438,149.7458953857422,149.7509765625,149.7560577392578,149.76113891601562,149.76622009277344,149.77130126953125,149.77638244628906,149.78146362304688,149.7865447998047,149.7916259765625,149.79672241210938,149.8018035888672,149.806884765625,149.8119659423828,149.81704711914062,149.82212829589844,149.82720947265625,149.83229064941406,149.83737182617188,149.8424530029297,149.8475341796875,149.8526153564453,149.85769653320312,149.86277770996094,149.86785888671875,149.87294006347656,149.87802124023438,149.88311767578125,149.88819885253906,149.89328002929688,149.8983612060547,149.9034423828125,149.9085235595703,149.91360473632812,149.91868591308594,149.92376708984375,149.92884826660156,149.93392944335938,149.9390106201172,149.944091796875,149.9491729736328,149.95425415039062,149.9593505859375,149.9644317626953,149.96951293945312,149.97459411621094,149.97967529296875,149.98475646972656,149.98983764648438,149.9949188232422,150]}"
+"2700","{""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3],""_type"":""histogram"",""bins"":[149.65234375,149.65777587890625,149.6632080078125,149.66864013671875,149.674072265625,149.67950439453125,149.6849365234375,149.69036865234375,149.69580078125,149.70123291015625,149.7066650390625,149.71209716796875,149.717529296875,149.72296142578125,149.7283935546875,149.73382568359375,149.7392578125,149.74468994140625,149.7501220703125,149.75555419921875,149.760986328125,149.76641845703125,149.7718505859375,149.77728271484375,149.78271484375,149.78814697265625,149.7935791015625,149.79901123046875,149.804443359375,149.80987548828125,149.8153076171875,149.82073974609375,149.826171875,149.83160400390625,149.8370361328125,149.84246826171875,149.847900390625,149.85333251953125,149.8587646484375,149.86419677734375,149.86962890625,149.87506103515625,149.8804931640625,149.88592529296875,149.891357421875,149.89678955078125,149.9022216796875,149.90765380859375,149.9130859375,149.91851806640625,149.9239501953125,149.92938232421875,149.934814453125,149.94024658203125,149.9456787109375,149.95111083984375,149.95654296875,149.96197509765625,149.9674072265625,149.97283935546875,149.978271484375,149.98370361328125,149.9891357421875,149.99456787109375,150]}"
+"2800","{""bins"":[149.7410430908203,149.74508666992188,149.74913024902344,149.75318908691406,149.75723266601562,149.7612762451172,149.76531982421875,149.7693634033203,149.77340698242188,149.7774658203125,149.78150939941406,149.78555297851562,149.7895965576172,149.79364013671875,149.7976837158203,149.80174255371094,149.8057861328125,149.80982971191406,149.81387329101562,149.8179168701172,149.82196044921875,149.82601928710938,149.83006286621094,149.8341064453125,149.83815002441406,149.84219360351562,149.8462371826172,149.8502960205078,149.85433959960938,149.85838317871094,149.8624267578125,149.86647033691406,149.87051391601562,149.87457275390625,149.8786163330078,149.88265991210938,149.88670349121094,149.8907470703125,149.89480590820312,149.8988494873047,149.90289306640625,149.9069366455078,149.91098022460938,149.91502380371094,149.91908264160156,149.92312622070312,149.9271697998047,149.93121337890625,149.9352569580078,149.93930053710938,149.943359375,149.94740295410156,149.95144653320312,149.9554901123047,149.95953369140625,149.9635772705078,149.96763610839844,149.9716796875,149.97572326660156,149.97976684570312,149.9838104248047,149.98785400390625,149.99191284179688,149.99595642089844,150],""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,3]}"
+"2900","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,3],""bins"":[149.65863037109375,149.66397094726562,149.66929626464844,149.6746368408203,149.67996215820312,149.685302734375,149.6906280517578,149.6959686279297,149.7012939453125,149.70663452148438,149.71197509765625,149.71730041503906,149.72264099121094,149.72796630859375,149.73330688476562,149.73863220214844,149.7439727783203,149.7493133544922,149.754638671875,149.75997924804688,149.7653045654297,149.77064514160156,149.77597045898438,149.78131103515625,149.78665161132812,149.79197692871094,149.7973175048828,149.80264282226562,149.8079833984375,149.8133087158203,149.8186492919922,149.823974609375,149.82931518554688,149.83465576171875,149.83998107910156,149.84532165527344,149.85064697265625,149.85598754882812,149.86131286621094,149.8666534423828,149.87197875976562,149.8773193359375,149.88265991210938,149.8879852294922,149.89332580566406,149.89865112304688,149.90399169921875,149.90931701660156,149.91465759277344,149.9199981689453,149.92532348632812,149.9306640625,149.9359893798828,149.9413299560547,149.9466552734375,149.95199584960938,149.95733642578125,149.96266174316406,149.96800231933594,149.97332763671875,149.97866821289062,149.98399353027344,149.9893341064453,149.99465942382812,150]}"
+"3000","{""_type"":""histogram"",""values"":[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3],""bins"":[149.756103515625,149.75991821289062,149.76373291015625,149.7675323486328,149.77134704589844,149.77516174316406,149.77896118164062,149.78277587890625,149.78659057617188,149.7904052734375,149.79421997070312,149.7980194091797,149.8018341064453,149.80564880371094,149.8094482421875,149.81326293945312,149.81707763671875,149.82089233398438,149.82470703125,149.82850646972656,149.8323211669922,149.8361358642578,149.83993530273438,149.84375,149.84756469726562,149.85137939453125,149.85519409179688,149.85899353027344,149.86280822753906,149.8666229248047,149.87042236328125,149.87423706054688,149.8780517578125,149.88186645507812,149.88568115234375,149.8894805908203,149.89329528808594,149.89710998535156,149.90090942382812,149.90472412109375,149.90853881835938,149.912353515625,149.91616821289062,149.9199676513672,149.9237823486328,149.92759704589844,149.931396484375,149.93521118164062,149.93902587890625,149.94284057617188,149.9466552734375,149.95045471191406,149.9542694091797,149.9580841064453,149.96188354492188,149.9656982421875,149.96951293945312,149.97332763671875,149.97714233398438,149.98094177246094,149.98475646972656,149.9885711669922,149.99237060546875,149.99618530273438,150]}"
+"3100","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,4],""bins"":[149.4569091796875,149.46539306640625,149.473876953125,149.48236083984375,149.4908447265625,149.4993438720703,149.50782775878906,149.5163116455078,149.52479553222656,149.5332794189453,149.54176330566406,149.5502471923828,149.55874633789062,149.56723022460938,149.57571411132812,149.58419799804688,149.59268188476562,149.60116577148438,149.60964965820312,149.61813354492188,149.62661743164062,149.63511657714844,149.6436004638672,149.65208435058594,149.6605682373047,149.66905212402344,149.6775360107422,149.68601989746094,149.69451904296875,149.7030029296875,149.71148681640625,149.719970703125,149.72845458984375,149.7369384765625,149.74542236328125,149.75390625,149.76239013671875,149.77088928222656,149.7793731689453,149.78785705566406,149.7963409423828,149.80482482910156,149.8133087158203,149.82179260253906,149.83029174804688,149.83877563476562,149.84725952148438,149.85574340820312,149.86422729492188,149.87271118164062,149.88119506835938,149.88967895507812,149.89816284179688,149.9066619873047,149.91514587402344,149.9236297607422,149.93211364746094,149.9405975341797,149.94908142089844,149.9575653076172,149.966064453125,149.97454833984375,149.9830322265625,149.99151611328125,150]}"
+"3200","{""bins"":[149.8720245361328,149.8740234375,149.8760223388672,149.87802124023438,149.88002014160156,149.88201904296875,149.88401794433594,149.88601684570312,149.8880157470703,149.8900146484375,149.8920135498047,149.89402770996094,149.89602661132812,149.8980255126953,149.9000244140625,149.9020233154297,149.90402221679688,149.90602111816406,149.90802001953125,149.91001892089844,149.91201782226562,149.9140167236328,149.916015625,149.9180145263672,149.92001342773438,149.92201232910156,149.92401123046875,149.92601013183594,149.92800903320312,149.9300079345703,149.9320068359375,149.9340057373047,149.93600463867188,149.93801879882812,149.9400177001953,149.9420166015625,149.9440155029297,149.94601440429688,149.94801330566406,149.95001220703125,149.95201110839844,149.95401000976562,149.9560089111328,149.9580078125,149.9600067138672,149.96200561523438,149.96400451660156,149.96600341796875,149.96800231933594,149.97000122070312,149.9720001220703,149.9739990234375,149.9759979248047,149.97799682617188,149.98001098632812,149.9820098876953,149.9840087890625,149.9860076904297,149.98800659179688,149.99000549316406,149.99200439453125,149.99400329589844,149.99600219726562,149.9980010986328,150],""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3]}"
+"3300","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,3],""bins"":[149.5899658203125,149.59637451171875,149.602783203125,149.60919189453125,149.6156005859375,149.6219940185547,149.62840270996094,149.6348114013672,149.64122009277344,149.6476287841797,149.65403747558594,149.6604461669922,149.66683959960938,149.67324829101562,149.67965698242188,149.68606567382812,149.69247436523438,149.69888305664062,149.70529174804688,149.71170043945312,149.71810913085938,149.72450256347656,149.7309112548828,149.73731994628906,149.7437286376953,149.75013732910156,149.7565460205078,149.76295471191406,149.76934814453125,149.7757568359375,149.78216552734375,149.78857421875,149.79498291015625,149.8013916015625,149.80780029296875,149.814208984375,149.82061767578125,149.82701110839844,149.8334197998047,149.83982849121094,149.8462371826172,149.85264587402344,149.8590545654297,149.86546325683594,149.87185668945312,149.87826538085938,149.88467407226562,149.89108276367188,149.89749145507812,149.90390014648438,149.91030883789062,149.91671752929688,149.92312622070312,149.9295196533203,149.93592834472656,149.9423370361328,149.94874572753906,149.9551544189453,149.96156311035156,149.9679718017578,149.974365234375,149.98077392578125,149.9871826171875,149.99359130859375,150]}"
+"3400","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,3],""bins"":[149.78488159179688,149.78823852539062,149.79161071777344,149.7949676513672,149.79832458496094,149.8016815185547,149.8050537109375,149.80841064453125,149.811767578125,149.8151397705078,149.81849670410156,149.8218536376953,149.82521057128906,149.82858276367188,149.83193969726562,149.83529663085938,149.83865356445312,149.84202575683594,149.8453826904297,149.84873962402344,149.85211181640625,149.85546875,149.85882568359375,149.8621826171875,149.8655548095703,149.86891174316406,149.8722686767578,149.87564086914062,149.87899780273438,149.88235473632812,149.88571166992188,149.8890838623047,149.89244079589844,149.8957977294922,149.899169921875,149.90252685546875,149.9058837890625,149.90924072265625,149.91261291503906,149.9159698486328,149.91932678222656,149.92269897460938,149.92605590820312,149.92941284179688,149.93276977539062,149.93614196777344,149.9394989013672,149.94285583496094,149.94622802734375,149.9495849609375,149.95294189453125,149.956298828125,149.9596710205078,149.96302795410156,149.9663848876953,149.96974182128906,149.97311401367188,149.97647094726562,149.97982788085938,149.9832000732422,149.98655700683594,149.9899139404297,149.99327087402344,149.99664306640625,150]}"
+"3500","{""bins"":[149.75067138671875,149.7545623779297,149.7584686279297,149.76235961914062,149.76625061035156,149.77015686035156,149.7740478515625,149.77793884277344,149.78182983398438,149.78573608398438,149.7896270751953,149.79351806640625,149.79742431640625,149.8013153076172,149.80520629882812,149.80911254882812,149.81300354003906,149.81689453125,149.82080078125,149.82469177246094,149.82858276367188,149.83248901367188,149.8363800048828,149.84027099609375,149.84417724609375,149.8480682373047,149.85195922851562,149.85585021972656,149.85975646972656,149.8636474609375,149.86753845214844,149.87144470214844,149.87533569335938,149.8792266845703,149.8831329345703,149.88702392578125,149.8909149169922,149.8948211669922,149.89871215820312,149.90260314941406,149.906494140625,149.910400390625,149.91429138183594,149.91818237304688,149.92208862304688,149.9259796142578,149.92987060546875,149.93377685546875,149.9376678466797,149.94155883789062,149.94546508789062,149.94935607910156,149.9532470703125,149.9571533203125,149.96104431152344,149.96493530273438,149.96884155273438,149.9727325439453,149.97662353515625,149.9805145263672,149.9844207763672,149.98831176757812,149.99220275878906,149.99610900878906,150],""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,3]}"
+"3600","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3],""bins"":[149.89866638183594,149.90025329589844,149.90184020996094,149.90341186523438,149.90499877929688,149.90658569335938,149.90817260742188,149.9097442626953,149.9113311767578,149.9129180908203,149.9145050048828,149.91607666015625,149.91766357421875,149.91925048828125,149.92083740234375,149.9224090576172,149.9239959716797,149.9255828857422,149.9271697998047,149.9287567138672,149.93032836914062,149.93191528320312,149.93350219726562,149.93508911132812,149.93666076660156,149.93824768066406,149.93983459472656,149.94142150878906,149.9429931640625,149.944580078125,149.9461669921875,149.94775390625,149.9493408203125,149.95091247558594,149.95249938964844,149.95408630371094,149.95567321777344,149.95724487304688,149.95883178710938,149.96041870117188,149.96200561523438,149.9635772705078,149.9651641845703,149.9667510986328,149.9683380126953,149.96990966796875,149.97149658203125,149.97308349609375,149.97467041015625,149.97625732421875,149.9778289794922,149.9794158935547,149.9810028076172,149.9825897216797,149.98416137695312,149.98574829101562,149.98733520507812,149.98892211914062,149.99049377441406,149.99208068847656,149.99366760253906,149.99525451660156,149.996826171875,149.9984130859375,150]}"
+"3700","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,3],""bins"":[149.76803588867188,149.77166748046875,149.77528381347656,149.77891540527344,149.78253173828125,149.78616333007812,149.78977966308594,149.7934112548828,149.79702758789062,149.8006591796875,149.8042755126953,149.8079071044922,149.8115234375,149.81515502929688,149.8187713623047,149.82240295410156,149.82601928710938,149.82965087890625,149.83328247070312,149.83689880371094,149.8405303955078,149.84414672851562,149.8477783203125,149.8513946533203,149.8550262451172,149.858642578125,149.86227416992188,149.8658905029297,149.86952209472656,149.87313842773438,149.87677001953125,149.88038635253906,149.88401794433594,149.8876495361328,149.89126586914062,149.8948974609375,149.8985137939453,149.9021453857422,149.90576171875,149.90939331054688,149.9130096435547,149.91664123535156,149.92025756835938,149.92388916015625,149.92750549316406,149.93113708496094,149.93475341796875,149.93838500976562,149.9420166015625,149.9456329345703,149.9492645263672,149.952880859375,149.95651245117188,149.9601287841797,149.96376037597656,149.96737670898438,149.97100830078125,149.97462463378906,149.97825622558594,149.98187255859375,149.98550415039062,149.98912048339844,149.9927520751953,149.99636840820312,150]}"
+"3800","{""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,3],""bins"":[149.3803253173828,149.3900146484375,149.39968872070312,149.4093780517578,149.41905212402344,149.42874145507812,149.43841552734375,149.44810485839844,149.45777893066406,149.46746826171875,149.47714233398438,149.48683166503906,149.49652099609375,149.50619506835938,149.51588439941406,149.5255584716797,149.53524780273438,149.544921875,149.5546112060547,149.5642852783203,149.573974609375,149.58364868164062,149.5933380126953,149.60302734375,149.61270141601562,149.6223907470703,149.63206481933594,149.64175415039062,149.65142822265625,149.66111755371094,149.67079162597656,149.68048095703125,149.69015502929688,149.69984436035156,149.70953369140625,149.71920776367188,149.72889709472656,149.7385711669922,149.74826049804688,149.7579345703125,149.7676239013672,149.7772979736328,149.7869873046875,149.7966766357422,149.8063507080078,149.8160400390625,149.82571411132812,149.8354034423828,149.84507751464844,149.85476684570312,149.86444091796875,149.87413024902344,149.88380432128906,149.89349365234375,149.90318298339844,149.91285705566406,149.92254638671875,149.93222045898438,149.94190979003906,149.9515838623047,149.96127319335938,149.970947265625,149.9806365966797,149.9903106689453,150],""_type"":""histogram""}"
+"3900","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,3],""bins"":[149.67698669433594,149.68203735351562,149.6870880126953,149.69212341308594,149.69717407226562,149.7022247314453,149.707275390625,149.71231079101562,149.7173614501953,149.722412109375,149.7274627685547,149.7324981689453,149.737548828125,149.7425994873047,149.74765014648438,149.752685546875,149.7577362060547,149.76278686523438,149.76783752441406,149.77288818359375,149.77792358398438,149.78297424316406,149.78802490234375,149.79307556152344,149.79811096191406,149.80316162109375,149.80821228027344,149.81326293945312,149.81829833984375,149.82334899902344,149.82839965820312,149.8334503173828,149.8385009765625,149.84353637695312,149.8485870361328,149.8536376953125,149.8586883544922,149.8637237548828,149.8687744140625,149.8738250732422,149.87887573242188,149.8839111328125,149.8889617919922,149.89401245117188,149.89906311035156,149.9040985107422,149.90914916992188,149.91419982910156,149.91925048828125,149.92430114746094,149.92933654785156,149.93438720703125,149.93943786621094,149.94448852539062,149.94952392578125,149.95457458496094,149.95962524414062,149.9646759033203,149.96971130371094,149.97476196289062,149.9798126220703,149.98486328125,149.98989868164062,149.9949493408203,150]}"
+"4000","{""_type"":""histogram"",""values"":[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,3],""bins"":[149.80003356933594,149.80316162109375,149.80628967285156,149.8094024658203,149.81253051757812,149.81565856933594,149.81878662109375,149.8218994140625,149.8250274658203,149.82815551757812,149.83128356933594,149.8343963623047,149.8375244140625,149.8406524658203,149.84378051757812,149.84689331054688,149.8500213623047,149.8531494140625,149.8562774658203,149.85940551757812,149.86251831054688,149.8656463623047,149.8687744140625,149.8719024658203,149.87501525878906,149.87814331054688,149.8812713623047,149.8843994140625,149.88751220703125,149.89064025878906,149.89376831054688,149.8968963623047,149.9000244140625,149.90313720703125,149.90626525878906,149.90939331054688,149.9125213623047,149.91563415527344,149.91876220703125,149.92189025878906,149.92501831054688,149.92813110351562,149.93125915527344,149.93438720703125,149.93751525878906,149.9406280517578,149.94375610351562,149.94688415527344,149.95001220703125,149.95314025878906,149.9562530517578,149.95938110351562,149.96250915527344,149.96563720703125,149.96875,149.9718780517578,149.97500610351562,149.97813415527344,149.9812469482422,149.984375,149.9875030517578,149.99063110351562,149.99374389648438,149.9968719482422,150]}"

paper/src/chapters/figures/supra.tex

@@ -0,0 +1,26 @@
+\begin{tikzpicture}
+    \begin{axis}[
+        view={0}{90},   % Top-down view for heatmap
+        xlabel={Step},
+        ylabel={Price},
+        colorbar,
+        colorbar style={
+            title={Density},
+            ylabel={},
+        },
+        colormap/viridis,
+        % Adjust these axis limits if necessary based on data
+        enlargelimits=false,
+        axis on top,
+        width=0.9\columnwidth,
+        height=0.6\columnwidth,
+    ]
+    
+    \addplot3[
+        surf,
+        shader=flat, 
+        mesh/check=false % Disable check to rely on empty lines
+    ] table [col sep=comma, x=step, y=price, z=density] {chapters/figures/supra_data.csv};
+    
+    \end{axis}
+\end{tikzpicture}

paper/src/preamble.tex

@@ -29,6 +29,8 @@
 \usepackage{subcaption}
 \usepackage{siunitx}
 \usepackage{tikz}
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.18}
 \usepackage{listings}
 \usepackage{xcolor}
 \usepackage[ruled,vlined]{algorithm2e}