Auslesen von Sensordaten mit dem Arduino Due

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1

Hallo liebe Arduino-Community,
im Zuge eines Projektes der Universität soll ich die Daten von zwölf Sensoren mittels des Arduino Due einlesen und dann über eine serielle Schnittstelle an den PC übertragen, bei dem diese dann mittels MatLab in einer Datei gespeichert werden sollen. Dabei sollen von jedem Sensor circa 20000 Messwerte mit einer Frequenz von 200kHz abgetastet werden. Außerdem soll ich noch zwei Buttons mit in die Schaltung integrieren. Wenn einer dieser Buttons während der Schleife des Auslesens und Übertragens der Sensordaten der zwölf Sensoren gedrückt wird, soll der Arduino pausieren und erst wieder mit einem erneuten Durchlauf beginnen, wenn der andere Button gedrückt wird.
Die Ausgangssignale der verschiedenen Sensoren sind jeweils schon so aufbereitet, dass Spannungen zwischen 0V und 3,3V (obere Grenze für die Eingangsspannungen des Arduino Due) vorliegen.
Da ich ein ziemlicher Neuling im Bereich der Arduino-Programmierung bin, habe ich nun ein paar Fragen:
1: Mit welcher Baudrate können beim Arduino Due die Daten seriell übertragen werden?
2: Ist es überhaupt möglich, die Eingangssignale mit 200 kHz abzutasten? Beziehungsweise wie kann man einstellen, mit welcher Frequenz abgetastet wird? Ich weiß nur, dass beim Arduino Due eine 84MHz Clock verbaut ist.
3: Meine erste Idee war es, ein Array mit 20000 Einträgen zu machen und diese Einträge dann über eine for-Schleife jeweils zu befüllen. (siehe Code unten) Gibt es auch eine einfachere Methode/Funktion, bei der man eben sagen kann, dass ein Array das Eingangssignal der Analog-Pins für ein paar Sekunden mit der gewünschten Frequenz von 200 kHz aufnehmen soll und dann im Array speichern soll?
4: Wie kann man ein ganzes Array seriell übertragen?
5: Wie kann man das gewünschte Starten und Stoppen durch Drücken eines Buttons programmieren? Es soll ja im Endeffekt die ganze Zeit im Hintergrund gefragt werden, ob während der Messdauer der zwölf Sensoren der Stopp-Button gedrückt wurde.
Hier ist noch einmal mein bisheriger Code. Leider habe ich noch nicht viel hinbekommen, ich bin wie gesagt noch ein ziemlicher Neuling im Programmieren.


// Anlegen des Arrays für die Messwerte als leeres Array mit 20000 Einträgen
// Da eine int-Zahl 4 Bytes braucht, kann man allerhöchstens auf den 96 KB
// SRAM-Speicher 24000 Einträge speichern
int Messwerte[20000];

void setup() {
 
  //Datenübertragung über serielle Schnittstelle? Wenn ja dann muss hier zunächst noch 
 //ein SerialBegin
  Serial.begin(9600);

  //Auflösung der Analogpins auf 12 bit stellen für eine höhere Genauigkeit
  analogReadResolution(12);

  //Die Analogen Inputpins als Input definieren:
  pinMode(A0, INPUT);
  pinMode(A1, INPUT);
  pinMode(A2, INPUT);
  pinMode(A3, INPUT);
  pinMode(A4, INPUT);
  pinMode(A5, INPUT);
  pinMode(A6, INPUT);
  pinMode(A7, INPUT);
  pinMode(A8, INPUT);
  pinMode(A9, INPUT);
  pinMode(A10, INPUT);
  pinMode(A11, INPUT);

}
void loop() {
  // Befüllen des Arrays mit den Werten für den ersten Sensor
  for(int i=0;i<20000;i++){
  Messwerte[i]=analogRead(A0);
  //Messwerte an den PC übergeben und in einer Datei speichern. 
  
  }

  // Nachdem die Messwerte für den ersten Sensor auf dem PC in einer Datei gespeichert wurden, 
   // kann das Array durch die Messwerte vom zweiten Sensor überschrieben werden
  for(int i=0;i<20000;i++){
  Messwerte[i]=analogRead(A1);
  //Messwerte an den PC übergeben und in einer Datei speichern.
  
  }

  // Dieses Verfahren jetzt für alle Sendoreingänge einmal wiederholen
  for(int i=0;i<20000;i++){
  Messwerte[i]=analogRead(A2);
  //Messwerte an den PC übergeben und in einer Datei speichern. 
  }


}

Ich bin für jede Antwort dankbar, auch wenn sie nur eine meiner Fragen beantwortet.

Vielen Dank schon einmal im Voraus!

2

Ich kann dir Stichworte liefern...
Du möchtest endliche Automaten und Schrittketten verwenden, um eine Ablaufsteuerung zu bauen.

4

2: Ist es überhaupt möglich,...

schreibe ein Sketch wo in der einmaligen schleife von 100000 wiederholungen "abgetastet" wird, am End der Schleife teile di verbrauchte Zeit durch 100000. dann wweisst du mehr.

5

Wer ist das?

Nöö...
Nur wenn die Aufgabe/Problemstellung min. einen solchen Automaten erfordert!

Habe diesen Satz, jetzt und hier, zum ersten mal geschrieben.

Und was sagst du?
Welcher Alternativen gibt es hier, außer eben der endliche Automat?

6

Theorie hat mich wenig interessiert. Ich schribe Code um ein Ziel zu erreichen und wenn ein Professor sagt dann "Oh, du hast einen endlichen Automat Prinzip genutzt!" ist mir dann auch egal.

7 
void setup() {

  .........

}

void loop() {

  if (digitalRead(TastePin) == HIGH) {
    delay(100);
    if (digitalRead(TastePin) == HIGH)start();
  }

  .................

}

void start() {
  while (digitalRead(TastePin) == HIGH)delay(100);
  if (digitalRead(TastePin) == HIGH)return;

  .........analogRead(...

}
8

sollte nicht mal kompilieren, hoffe ich.
Und wenn man, während mit 200 kHz Analogwerte gelesen werden (?) , delay() verwendet, macht man noch mehr falsch, außer simpler Syntax-Fehler.

Wenn ich aber

die Daten von zwölf Sensoren

richtig interpretiere, reicht auch der Hinweis, dass man für einen Analogwert nicht unbedingt einen int a.k.a. int32_t braucht, nicht weit genug...
Da ist wohl die eigentliche Aufgabenstellung, die machbaren Grenzen zu bestimmen.

9

Nungut....
Dir scheint viel egal zu sein...

Aber offensichtlich scheint es dich zu stören, wenn ich die Dinge bei ihrem Namen nenne.
Wieso?

Ist es nicht schön, wenn man ein Prinzip verstanden hat, und es jederzeit einsetzen kann?

10

Danke, ich werde mich die kommenden Tage mal mit diesen Begriffen auseinander setzen.

11

danke. repariert.

12 
uint16_t Messwerte[20000];
13

Genau, es sollen mit 200 kHz die Signale abgetastet werden, welche von den zwölf verschiedenen Sensoren jeweils an den Analogeingängen des Arduinos jeweils anliegen.

Ehrlich gesagt verstehe ich das so nicht. So wie ich bisher Arduino Analogeingänge verstanden habe, wird doch die Spannung, die dann an den Analogpins anliegt in eine Binärzahl umgewandelt oder?

14

Danke für das Codebeispiel, könntest du mir eventuell bitte noch kurz erklären, was dabei genau getan wird?
Und man muss dann diesen TastePin noch als Input deklarieren oder?

15

es ist nur ein Beispiel, wie mit einer einzigen Taste starten und stoppen kann.

16

43.2 Embedded Characteristics

  • 12-bit Resolution
  • 1 MHz Conversion Rate

im loop(): wenn Taste liefert auslösenden Level, wird abgewartet, (so ein "Debounce") und wieder geprüft, und wenn immernoch gedrückt, dann wird Funktion "start()" aufgerufen, wo ähnlich die Taste im Laufe des Codes geprüft wird.

17

12 * 20000 Messwerte ?

Müssten es nicht 240000 Einträge sein?

Wenn du die native Schnittstelle verwendest, ist die Baudrate irrelevant, da rein virtuell.

18

Es sollen jeweils 20000 Messwerte aufgenommen werden, ja. Da dabei aber nur der SRAM Speicher beschrieben wird und dieser begrenzt ist, muss ich es (meines Wissens nach zumindest) so machen, dass ich von Sensor 1 die Werte aufnehme, diese dann über die serielle Schnittstelle an den PC schicke und dort dann z.B. in ein txt.-File speichere. Da dann ja die Daten des ersten Sensors gesichert sind, kann ich ja eigentlich das Array wieder überschreiben, oder?

Heißt das, ich muss nach meinem Serial.begin gar keine Baudrate angeben oder wie?

20

Nein!

  1. Serial ist eine native UART (Programming Port)
  2. SerialUSB ist eine virtuelle UART (Nativ USB Port)

Und nochmal: Nein
Auch beim SerialUSB.begin(); muss eine Baudrate angegeben werden. Sie hat allerdings keinerlei Auswirkungen auf die Übertragungsgeschwindigkeit.

21

Ah ok, das heißt ich programmiere den Arduino über den Programming Port, wenn das Programm dann aber drauf gespielt ist, gebe ich die Daten über einen anderen Anschluss aus. Also bei meinem Code das Serial.begin() durch SerialUSB.begin() ersetzen?

22

Kannst du so tun.
Aber auch über den nativen Port programmieren.

Hier mal ein rudimentäres Beispiel:

#include <Streaming.h> // die Lib findest du selber ;-)


constexpr size_t anzahlSensoren    {  12};
constexpr size_t anzahlDatensaetze {1000};

using FeldType  = uint16_t;
using Datensatz = FeldType[anzahlSensoren]; 
using Datenfeld = Datensatz[anzahlDatensaetze];

Datenfeld datenfeld;

void readAll(Datenfeld &datenfeld)
{
  for(Datensatz &d:datenfeld)
  {
   byte aPin = A0;
   for(FeldType &f:d)  f=analogRead(aPin++);
  }
}

void printAll(Datenfeld &datenfeld)
{
  SerialUSB << "{" << endl;
  for(Datensatz &d:datenfeld)
  {
    SerialUSB << "  {"; 
    for(FeldType &f:d) SerialUSB << f << ", "; 
    SerialUSB << "}," << endl; 
 }
 SerialUSB << "};" << endl; 
}


void setup() 
{
  
  SerialUSB.begin(9600);
  while(!SerialUSB);

  
  SerialUSB << F("Start: ") << F(__FILE__) << endl;
  analogReadResolution(12);

  unsigned long zeitStempel = micros();

  readAll(datenfeld);

  SerialUSB << "Zeit fuer "  << (anzahlSensoren*anzahlDatensaetze) 
            << " Messungen " << (micros()-zeitStempel) << " micros" << endl;
       
  printAll(datenfeld);
}

void loop() 
{
 
}

Hier die Ausgabe des Beispiels:

Start: E:\Programme\arduino\portable\sketchbook\sketch_jun15a\sketch_jun15a.ino
Zeit fuer 12000 Messungen 57472 micros
{
  {1213, 1229, 1205, 1201, 1174, 1163, 1182, 1188, 1221, 1280, 1291, 1322, },
  {1350, 1367, 1347, 1349, 1318, 1293, 1312, 1300, 1319, 1363, 1363, 1383, },
  {1381, 1387, 1356, 1343, 1307, 1271, 1281, 1264, 1279, 1317, 1296, 1317, },
  {1280, 1283, 1249, 1225, 1190, 1162, 1168, 1153, 1172, 1215, 1180, 1204, },
  {1161, 1174, 1151, 1134, 1108, 1093, 1109, 1104, 1132, 1186, 1158, 1189, },
  {1195, 1215, 1203, 1198, 1173, 1161, 1182, 1183, 1211, 1267, 1258, 1277, },
  {1316, 1340, 1329, 1332, 1308, 1285, 1307, 1300, 1319, 1369, 1365, 1363, },
  {1368, 1381, 1358, 1350, 1318, 1283, 1296, 1283, 1296, 1340, 1327, 1327, },
  {1289, 1290, 1262, 1243, 1211, 1181, 1188, 1174, 1192, 1238, 1210, 1221, },
  {1168, 1169, 1143, 1130, 1104, 1090, 1104, 1103, 1131, 1186, 1163, 1189, },
  {1172, 1190, 1181, 1176, 1154, 1143, 1167, 1168, 1198, 1255, 1248, 1267, },
  {1279, 1305, 1302, 1308, 1287, 1267, 1292, 1289, 1310, 1364, 1366, 1378, },
  {1368, 1370, 1350, 1350, 1321, 1288, 1303, 1291, 1303, 1351, 1342, 1357, },
  {1317, 1306, 1268, 1252, 1221, 1189, 1199, 1187, 1203, 1245, 1217, 1243, },
  {1192, 1175, 1141, 1124, 1101, 1088, 1104, 1104, 1127, 1184, 1161, 1193, },
  {1175, 1183, 1165, 1166, 1146, 1137, 1159, 1163, 1189, 1247, 1239, 1268, },
  {1279, 1290, 1281, 1293, 1274, 1257, 1282, 1284, 1305, 1359, 1360, 1381, },
  {1383, 1379, 1344, 1345, 1319, 1289, 1305, 1295, 1306, 1352, 1344, 1363, },
  {1333, 1319, 1272, 1253, 1222, 1195, 1203, 1189, 1201, 1247, 1223, 1252, },
  {1203, 1193, 1150, 1127, 1104, 1092, 1106, 1104, 1129, 1184, 1160, 1193, },
  {1170, 1181, 1157, 1154, 1138, 1130, 1152, 1157, 1183, 1240, 1232, 1262, },
  {1275, 1284, 1263, 1275, 1260, 1247, 1273, 1277, 1298, 1353, 1356, 1378, },
  {1388, 1388, 1350, 1339, 1314, 1287, 1306, 1298, 1312, 1358, 1349, 1369, },
  {1344, 1342, 1295, 1267, 1231, 1200, 1212, 1205, 1219, 1264, 1242, 1267, },
  {1221, 1220, 1178, 1146, 1105, 1085, 1100, 1103, 1127, 1182, 1158, 1191, },
  {1168, 1178, 1153, 1133, 1105, 1099, 1126, 1136, 1165, 1225, 1213, 1244, },
  {1253, 1269, 1251, 1246, 1213, 1202, 1238, 1251, 1278, 1337, 1343, 1368, },
  {1384, 1396, 1370, 1362, 1316, 1276, 1299, 1298, 1311, 1360, 1356, 1377, },
  {1356, 1357, 1324, 1307, 1259, 1214, 1219, 1213, 1225, 1274, 1253, 1280, },
  {1234, 1235, 1199, 1177, 1132, 1101, 1101, 1100, 1126, 1180, 1154, 1193, },
  {1166, 1176, 1152, 1138, 1106, 1091, 1107, 1120, 1153, 1213, 1202, 1235, },
  {1240, 1258, 1241, 1238, 1211, 1189, 1207, 1223, 1259, 1319, 1324, 1352, },
  {1372, 1386, 1363, 1359, 1326, 1290, 1293, 1285, 1306, 1359, 1361, 1380, },
  {1364, 1367, 1335, 1322, 1282, 1246, 1245, 1225, 1236, 1282, 1268, 1296, },
  {1253, 1253, 1218, 1194, 1159, 1133, 1132, 1118, 1128, 1177, 1155, 1192, },
  {1164, 1172, 1148, 1135, 1105, 1093, 1104, 1103, 1124, 1185, 1176, 1216, },
  {1220, 1237, 1219, 1215, 1191, 1178, 1198, 1200, 1216, 1277, 1289, 1325, },
  {1353, 1372, 1353, 1355, 1325, 1298, 1314, 1307, 1309, 1347, 1352, 1374, },
  {1368, 1374, 1343, 1332, 1297, 1263, 1274, 1262, 1263, 1296, 1277, 1300, },
  {1266, 1267, 1231, 1211, 1175, 1149, 1155, 1148, 1159, 1192, 1158, 1189, },
  {1158, 1168, 1144, 1128, 1102, 1089, 1104, 1105, 1130, 1179, 1153, 1191, },
  {1198, 1218, 1203, 1198, 1175, 1163, 1184, 1190, 1215, 1265, 1253, 1287, },
  {1321, 1345, 1332, 1334, 1310, 1283, 1306, 1303, 1317, 1363, 1352, 1360, },
  {1362, 1375, 1351, 1342, 1307, 1273, 1286, 1277, 1288, 1331, 1309, 1312, },
  {1273, 1279, 1250, 1230, 1194, 1166, 1174, 1167, 1181, 1227, 1196, 1205, },
  {1153, 1165, 1141, 1125, 1098, 1087, 1101, 1104, 1127, 1181, 1156, 1175, },
  {1170, 1193, 1181, 1179, 1154, 1144, 1165, 1172, 1197, 1254, 1246, 1260, },
  {1281, 1311, 1304, 1310, 1286, 1267, 1291, 1292, 1311, 1362, 1363, 1368, },
  {1359, 1368, 1347, 1345, 1316, 1283, 1296, 1290, 1298, 1346, 1334, 1346, },
  {1302, 1294, 1260, 1246, 1215, 1186, 1195, 1186, 1199, 1245, 1220, 1239, },
  {1186, 1178, 1142, 1121, 1098, 1087, 1100, 1103, 1127, 1181, 1156, 1185, },
  {1164, 1170, 1151, 1150, 1133, 1126, 1148, 1154, 1181, 1239, 1229, 1257, },
  {1269, 1278, 1257, 1267, 1257, 1242, 1270, 1275, 1297, 1350, 1353, 1372, },
  {1382, 1384, 1344, 1334, 1313, 1283, 1302, 1297, 1310, 1355, 1348, 1366, },
  {1341, 1338, 1291, 1263, 1226, 1198, 1209, 1204, 1218, 1261, 1239, 1264, },
  {1218, 1217, 1176, 1142, 1103, 1083, 1098, 1101, 1127, 1180, 1155, 1181, },
  {1163, 1175, 1149, 1130, 1101, 1096, 1123, 1135, 1165, 1224, 1216, 1243, },
  {1249, 1267, 1248, 1242, 1209, 1200, 1236, 1250, 1275, 1333, 1339, 1361, },
  {1377, 1388, 1364, 1356, 1311, 1276, 1292, 1293, 1312, 1361, 1358, 1376, },
  {1355, 1358, 1325, 1307, 1263, 1219, 1221, 1214, 1230, 1278, 1260, 1284, },
  {1240, 1239, 1203, 1180, 1140, 1109, 1106, 1101, 1124, 1179, 1154, 1190, },
  {1162, 1173, 1149, 1133, 1103, 1088, 1097, 1105, 1138, 1202, 1191, 1227, },
  {1231, 1248, 1228, 1227, 1200, 1186, 1199, 1204, 1237, 1304, 1310, 1340, },
  {1364, 1378, 1356, 1356, 1324, 1293, 1302, 1288, 1297, 1351, 1356, 1378, },
  {1366, 1370, 1338, 1324, 1288, 1255, 1260, 1242, 1243, 1285, 1268, 1299, },
  {1260, 1260, 1224, 1200, 1165, 1141, 1144, 1132, 1140, 1180, 1154, 1188, },
  {1159, 1169, 1145, 1128, 1099, 1087, 1103, 1105, 1121, 1174, 1161, 1202, },
  {1209, 1227, 1210, 1209, 1182, 1169, 1190, 1195, 1211, 1264, 1264, 1307, },
  {1336, 1355, 1340, 1344, 1315, 1288, 1308, 1303, 1315, 1352, 1342, 1364, },
  {1365, 1377, 1348, 1337, 1302, 1269, 1280, 1271, 1279, 1317, 1291, 1306, },
  {1269, 1274, 1241, 1222, 1186, 1158, 1165, 1158, 1172, 1215, 1176, 1197, },
  {1149, 1163, 1142, 1125, 1098, 1085, 1100, 1104, 1127, 1181, 1153, 1175, },
  {1177, 1201, 1190, 1185, 1162, 1150, 1170, 1179, 1204, 1260, 1250, 1262, },
  {1298, 1327, 1315, 1319, 1295, 1272, 1296, 1297, 1315, 1364, 1360, 1356, },
  {1358, 1372, 1351, 1343, 1313, 1278, 1292, 1283, 1295, 1338, 1327, 1327, },
  {1287, 1287, 1257, 1240, 1207, 1178, 1185, 1177, 1191, 1237, 1211, 1223, },
  {1167, 1165, 1137, 1123, 1098, 1085, 1100, 1103, 1126, 1181, 1158, 1181, },
  {1158, 1174, 1162, 1161, 1141, 1134, 1156, 1165, 1190, 1247, 1240, 1263, },
  {1273, 1289, 1285, 1296, 1272, 1253, 1282, 1284, 1305, 1358, 1360, 1376, },
  {1371, 1367, 1342, 1341, 1312, 1283, 1297, 1292, 1303, 1349, 1340, 1358, },
  {1322, 1310, 1269, 1248, 1219, 1191, 1202, 1194, 1207, 1253, 1226, 1251, },
  {1203, 1193, 1151, 1125, 1095, 1083, 1098, 1111, 1127, 1180, 1156, 1187, },
  {1165, 1172, 1145, 1135, 1118, 1115, 1135, 1148, 1174, 1231, 1219, 1251, },
  {1260, 1276, 1251, 1247, 1234, 1228, 1255, 1265, 1287, 1343, 1346, 1368, },
  {1382, 1390, 1357, 1337, 1302, 1279, 1299, 1299, 1311, 1358, 1351, 1369, },
  {1346, 1347, 1310, 1281, 1237, 1203, 1213, 1210, 1222, 1269, 1248, 1272, },
  {1226, 1227, 1191, 1159, 1113, 1087, 1096, 1101, 1126, 1180, 1155, 1189, },
  {1161, 1172, 1149, 1133, 1099, 1087, 1109, 1123, 1155, 1214, 1204, 1235, },
  {1241, 1258, 1240, 1237, 1206, 1185, 1212, 1233, 1263, 1322, 1325, 1351, },
  {1371, 1385, 1362, 1358, 1321, 1280, 1287, 1288, 1304, 1360, 1357, 1378, },
  {1361, 1363, 1330, 1316, 1277, 1237, 1235, 1221, 1234, 1280, 1265, 1291, },
  {1246, 1246, 1211, 1188, 1150, 1125, 1122, 1110, 1125, 1176, 1153, 1190, },
  {1160, 1175, 1145, 1130, 1101, 1091, 1100, 1100, 1125, 1189, 1181, 1217, },
  {1220, 1237, 1222, 1217, 1193, 1179, 1197, 1199, 1219, 1285, 1295, 1327, },
  {1352, 1369, 1350, 1350, 1321, 1292, 1309, 1293, 1301, 1343, 1350, 1376, },
  {1365, 1372, 1342, 1329, 1294, 1260, 1268, 1260, 1257, 1291, 1275, 1300, },
  {1265, 1265, 1231, 1210, 1174, 1147, 1152, 1147, 1155, 1191, 1156, 1188, },
  {1155, 1167, 1143, 1127, 1100, 1088, 1102, 1108, 1127, 1172, 1153, 1193, },
  {1200, 1220, 1205, 1200, 1177, 1164, 1185, 1194, 1214, 1263, 1255, 1292, },
  {1326, 1349, 1334, 1338, 1311, 1289, 1306, 1305, 1318, 1357, 1345, 1359, },
  {1362, 1375, 1347, 1339, 1302, 1270, 1282, 1275, 1283, 1324, 1299, 1308, },
  {1268, 1276, 1246, 1226, 1190, 1161, 1168, 1163, 1178, 1220, 1187, 1201, },
  {1149, 1161, 1140, 1124, 1098, 1086, 1106, 1105, 1128, 1181, 1154, 1174, },
  {1172, 1195, 1184, 1180, 1156, 1144, 1167, 1175, 1200, 1256, 1249, 1259, },
  {1289, 1318, 1309, 1313, 1290, 1268, 1292, 1295, 1312, 1362, 1362, 1361, },
  {1356, 1370, 1350, 1345, 1313, 1279, 1293, 1288, 1298, 1340, 1329, 1333, },
  {1290, 1287, 1258, 1242, 1210, 1180, 1188, 1182, 1193, 1236, 1212, 1227, },
  {1170, 1166, 1137, 1124, 1096, 1087, 1100, 1106, 1128, 1179, 1156, 1181, },
  {1161, 1174, 1161, 1161, 1141, 1133, 1153, 1162, 1185, 1244, 1235, 1259, },
  {1267, 1279, 1274, 1286, 1272, 1251, 1277, 1282, 1304, 1356, 1361, 1376, },
  {1377, 1373, 1343, 1344, 1315, 1285, 1300, 1296, 1304, 1347, 1340, 1358, },
  {1325, 1314, 1269, 1251, 1220, 1193, 1203, 1195, 1204, 1249, 1224, 1249, },
  {1198, 1187, 1142, 1120, 1096, 1084, 1099, 1104, 1127, 1180, 1154, 1184, },
  {1170, 1175, 1151, 1146, 1131, 1124, 1144, 1155, 1181, 1237, 1227, 1255, },
  {1268, 1279, 1256, 1265, 1253, 1241, 1267, 1275, 1294, 1350, 1352, 1372, },
  {1381, 1383, 1344, 1334, 1309, 1283, 1301, 1296, 1309, 1354, 1347, 1366, },
  {1340, 1339, 1292, 1264, 1226, 1197, 1209, 1205, 1217, 1263, 1239, 1263, },
  {1218, 1217, 1176, 1143, 1101, 1081, 1097, 1102, 1126, 1178, 1147, 1187, },
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};