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index.html

Lines changed: 218 additions & 50 deletions
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@@ -641,13 +641,32 @@ <h4 style="font-size:160%;margin:7px">Trigonometry</h4>
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"deg": 90.0
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},
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"rad(1.555)": {
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"sin": 0.999,
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"cos": 0.044,
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"tan": 22.9,
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"deg": 87.5
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},
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"rad(1.536)": {
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"sin": 0.998,
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"cos": 0.063,
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"tan": 15.9,
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"deg": 86.4
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},
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"rad(1.509)": {
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"sin": 0.996,
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"cos": 0.089,
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"tan": 11.2,
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"deg": 84.9
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},
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"rad(1.467)": {
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"sin": 0.991,
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"cos": 0.131,
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"tan": 7.596,
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"deg": 82.5
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},
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"rad(1.409)": {
@@ -657,27 +676,214 @@ <h4 style="font-size:160%;margin:7px">Trigonometry</h4>
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"deg": 79.265
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},
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"rad(1.4)": {
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"sin": 0.981,
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"cos": 0.195,
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"tan": 5.027,
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"deg": 78.750
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},
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"rad(1.355)": {
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"sin": 0.971,
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"cos": 0.238,
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"tan": 4.084,
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"deg": 76
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},
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"rad(1.333)": {
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"sin": 0.966,
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"cos": 0.259,
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"tan": 3.732,
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"deg": 75
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},
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"rad(1.295)": {
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"sin": 0.956,
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"cos": 0.295,
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"tan": 3.244,
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"deg": 73
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},
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"rad(1.253)": {
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"sin": 0.943,
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"cos": 0.334,
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"tan": 2.822,
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"deg": 70.5
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},
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"rad(1.2)": {
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"sin": 0.924,
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"cos": 0.383,
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"tan": 2.414,
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"deg": 67.50
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},
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"rad(1.124)": {
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"sin": 0.893,
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"cos": 0.450,
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"tan": 2.414,
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"deg": 65.6
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},
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"rad(1.067)": {
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"sin": 0.866,
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"cos": 0.5,
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"tan": 1.732,
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"deg": 60
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},
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"rad(1.021)": {
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"sin": 0.843,
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"cos": 0.538,
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"tan": 1.566,
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"deg": 57.4
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},
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"rad(0.984)": {
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"sin": 0.823,
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"cos": 0.569,
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"tan": 1.447,
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"deg": 55.4
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},
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"cos": 0.628,
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},
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},
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"tan": 0.063,
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},
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"deg": 2.5
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},
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"rad(0.032)": {
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"cos": 0.9995,
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},
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"rad(0.023)": {
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"sin": 0.022,
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"tan": 0.022,
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"deg": 1.3
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},
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"rad(0.016)": {
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"cos": 0.9999,
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"tan": 0.016,
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"deg": 0.9
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},
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"rad(0.011)": {
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"sin": 0.011,
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"cos": 0.99997,
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"tan": 0.011,
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"deg": 0.6
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},
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"rad(0.008)": {
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"sin": 0.008,
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"cos": 0.99997,
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"tan": 0.008,
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"deg": 0.45
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}
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}
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// Helper: Finds closest rad(x) match for given function (sin or cos)
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function findClosestRad(value, funcType) {
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let closestKey = null;
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let minDiff = Infinity;
@@ -697,7 +903,7 @@ <h4 style="font-size:160%;margin:7px">Trigonometry</h4>
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if (closestKey) {
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const approxVal = trig[closestKey][funcType].value?.approx ?? trig[closestKey][funcType].value;
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const approxVal = trig[closestKey][funcType].value;
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return `${funcType}(${closestKey}) ≈ ${approxVal}`;
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}
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}
@@ -713,7 +919,7 @@ <h4 style="font-size:160%;margin:7px">Trigonometry</h4>
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// Case 1: Exact match
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if ([radKey] && [radKey].sin) {
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return `sin(${x}) ≈ ${trig[radKey].sin.value?.approx ?? trig[radKey].sin.value}`;
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return `sin(${x}) ≈ ${trig[radKey].sin}`;
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}
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// Case 2A: 1.6 > x > 0.8 OR 0.1 > x > 0
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const reflected = (1.6 - x).toFixed(3);
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const reflectedKey = `rad(${reflected})`;
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if (trig[reflectedKey] && trig[reflectedKey].cos) {
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return `sin(${x}) ≈ cos(${reflected}) ≈ ${trig[reflectedKey].cos.value?.approx ?? trig[reflectedKey].cos.value}`;
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return `sin(${x}) ≈ cos(${reflected}) ≈ ${trig[reflectedKey].cos}`;
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}
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const closest = findClosestRad(reflected, 'cos');
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return `sin(${x}) ≈ cos(${reflected}) ≈ ${closest}`;
@@ -746,7 +952,7 @@ <h4 style="font-size:160%;margin:7px">Trigonometry</h4>
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// Case 1: Exact match
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if (trig[radKey] && trig[radKey].cos) {
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return `cos(${x}) ≈ ${trig[radKey].cos.value?.approx ?? trig[radKey].cos.value}`;
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return `cos(${x}) ≈ ${trig[radKey].cos}`;
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}
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// Case 2A: 1.6 > x > 0.8 OR 0.1 > x > 0
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const reflectedKey = `rad(${reflected})`;
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if (trig[reflectedKey] && trig[reflectedKey].sin) {
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return `cos(${x}) ≈ sin(${reflected}) ≈ ${trig[reflectedKey].sin.value?.approx ?? trig[reflectedKey].sin.value}`;
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return `cos(${x}) ≈ sin(${reflected}) ≈ ${trig[reflectedKey].sin}`;
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}
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const closest = findClosestRad(reflected, 'sin');
@@ -779,7 +985,7 @@ <h4 style="font-size:160%;margin:7px">Trigonometry</h4>
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// Case 1: Exact match
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if (trig[radKey] && trig[radKey].tan) {
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return `tan(${x}) ≈ ${trig[radKey].tan.value?.approx ?? trig[radKey].tan.value}`;
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return `tan(${x}) ≈ ${trig[radKey].tan}`;
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}
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// Case 2A: 1.6 > x > 0.8 OR 0.1 > x > 0
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const reflectedKey = `rad(${reflected})`;
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7961002
if (trig[reflectedKey] && trig[reflectedKey].tan) {
797-
const reflectedTan = parseFloat(trig[reflectedKey].tan.value?.approx ?? trig[reflectedKey].tan.value);
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const reflectedTan = parseFloat(trig[reflectedKey].tan);
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return `tan(${x}) ≈ 1 / tan(${reflected})`;
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}
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@@ -2263,44 +2469,6 @@ <h6 style="font-size:160%;margin:7px">Area of a circle</h6>
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<br>
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<br>
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<br>
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<h18 style="margin-top:24px;">Test section</h18>
2267-
2268-
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<label for="atan-input">Enter a value (e.g. 2):</label>
2270-
<input type="number" id="atan-input" value="2" step="any" style="margin:8px;" />
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<button onclick="testQueryAtan()">Run Test</button>
2272-
2273-
<pre id="atan-output" style="padding:12px; background:#eee; margin-top:12px;"></pre>
2274-
2275-
<script>
2276-
2277-
function testQueryAtan() {
2278-
const input = parseFloat(document.getElementById('atan-input').value);
2279-
const output = document.getElementById('atan-output');
2280-
output.innerText = '';
2281-
2282-
if (isNaN(input)) {
2283-
output.innerText = '⚠️ Invalid input.';
2284-
return;
2285-
}
2286-
2287-
try {
2288-
const match = findClosestValueMatch(input, 'tan');
2289-
2290-
output.innerText += `🔍 Looking for tan ≈ ${input}\n\n`;
2291-
2292-
if (!match) {
2293-
output.innerText += `⚠️ No match found for tan ≈ ${input}`;
2294-
return;
2295-
}
2296-
2297-
output.innerText += `🗝️ Best match key: ${match.angle}\n`;
2298-
output.innerText += `📐 Approximated tan: ${match.approx}`;
2299-
} catch (err) {
2300-
output.innerText = '⚠️ Error during query:\n' + err.message;
2301-
}
2302-
}
2303-
</script>
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<footer>
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<p style="margin:12px;">® All rights reserved</p>
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<br>

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