data:image/png;base64,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data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAFoCAYAAACPNyggAAAYyUlEQVR4Xu3dW6im11kH8LUmiVBEFIoWPCCYaK0HeqHzbdsirV7ZSqlk7xlaI0jVC6sWsRUvPEDAw4XYitTDjVoKxpbM3sFS2nqlLdLW+aZeVKv1kFyIWlHxQkQKJplXdmbGZJLM7P+33mdmZXZ+velFn7XW09/7rPef9+s06c2/CBAgQIAAgdsu0G/7iQ4kQIAAAQIEmgA2BAQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAgAA2AwQIECBAYIKAAJ6A7kgCBAgQICCAzQABAgQIEJggIIAnoDuSAAECBAgIYDNAgAABAgQmCAjgCeiOJECAAAECAtgMECBAgACBCQICeAK6IwkQIECAwC0P4OWPzr6xf9+lD70QqfU29lS4cRsTGFtl3riNCYytup3zdksDeDnc/FRr7Wdaa7/aD7a/PsZxa1bpbcyVG7cxgbFV5o3bmMDYqts9b7csgJdHNi9tl9tjrbW3tdZ+p51p9/b7t/85xlK7Sm9jnty4jQmMrTJv3MYExlbNmLdbF8CHm/e01h7vB9t3LIebd7fW7ukH27eP0dSuWvQ2BMptiK1x4zYmMLbKvN05brckgJeHv33Tzpz5SLv85L39/F/81/Lwt31pO3PXY+3y5Tf085/ejvHUrNLbmCM3bmMCY6vMG7cxgbFVs+bt1gTw4ebDrbWP9oPtb17jWA43P9Fae30/2H7vGFHNqkVvQ5DchtiOv37dhQE6bgNorZm3MbZpbuUBvFzYe3Pryzv6wXbzbIvlcLNtS393P3fxA4NOq5bpbYyPG7cxgbFV5o3bmMDYqpnzVh/Ah3ufa629sx9c/MhzA3jvDa21d/WDi68Yo1q3atHbECC3IbbGjduYwNgq83bnuZUG8HJh87PtzPKtff/SW25EsRydfX+73P+qn9v+yhjX2Cq9cRsTGFtl3riNCYytMm93pltZAC/vP/s17Z7+aGt3vbIffOpvbxjAh6/6xtae/Ex7fLmvv+XSP42x7bZKb7t5Xavmxs09vTID7oK7cCvuQl0AH25+t/X2b31/+3MnParlaPPLbWkv6wfbHzmptuI/X/Q2xMhtiO34D3S4CwN03AbQrvzBK/M2QPdCcCsJ4OXhs69tZ/oftMv/c28//9f/e5LF8vA3f1E788WPtcvLD/Tzlz5+Uv2a/1xvY3rcuLmnV79+vd+GLoN3yMlsNQF8uPmT1ttDfX/7eycfeXWojzY/3Jb2QD/Yfne6ZqRu0dsI2/FfVXumA3LcBtCufMWZtwE6bgNoL6B5Wx3Ay4W9t7Yzyw/2/e3rdqVYjjYfa5f7+/q5i+/ddW1Sr7dE6bk13Lg9U8A99X7b9UZ4h2RiqwJ4efB1d7dv+cKjrbe39v2Lf5od+XTVcrT3XW1p722ffcl9/cGPPbHr+pvV621Mkxu3Zwu4p95vu9wK75Bca10AX9j7xXamfVXfv/hD+ZHXVy5He7/fLrd/6ecu/sLoHs+3btHbECe3IbbGjdvzvoe834YG48WSC8MBvHxg8w3t7vY3rd99b9//5D8OKR//Fn/06q9tyxOPtSfaN/U3b/9+dJ/rfjLT2xCjZzrE1rhxu5GA99vgbLxIcmE8gA83D7W+fK7vX/qlMeJn/hR99ufb0l/RD7YPrN3reP2ityFGbkNs5m2MjRu3mwosR6c/F4YCeHn47Pe0u/pv9P3tywdn6DnLlqPN37Unl5/s5y/98Zo99Tamx41bIuCeJkrPreHG7fkExgL4cPOp1tt7+v72D8dYn3dAv78t7e39YPuqNXsuehvi4zbEdvwV5y4M0HEbQLvy6555G6B7obrtHMDL0dkfa62/se9vXz/gcMJPDpuPtrZ8qO9f+u2RvfXGbZe5WY7M2y5e12q5jagd/3kX8zYid5rddgrg5YOv+ZL2+OOPtt7f1Pcv/vkI5s3WLEd739GW5YPtnnvu62/6xH/vsr/euO0yL8e15m1XsSv13Lg9U8C7d+zde2y4WwAf7f1aa+0lff/ij4+N4MmrlqO932qtfaHvX/zpk6ufrlj0xm2Xgblaa94G0K6EsHkboOM2gHZK522nAF4e2byyLe3PWr/7vn7/J/99jPHkVcsjr/6Ktjxx/Df3+M5+//YzJ69oTW/HBtySWXl2DbcRNfM2psaN2/UC8RfwcrR5pLXlE33/0rtGEdN1y9HZd7bWX9P3t/cna/R27adBbsm8PCeEzdsIW3NPh9i4jbGdKrdrBFEALxc2n229vbz19s+DdrsvW9pXt2X5fGv95n+f6DP9bW1ZXtp6uy3/bOGn/ovobffnyW3MjBs377enZ+A0vHuv3OlL/fz2w1kAH+79ZWuXv671/h/jt2HHlcvy5U+dd7m974SVP9r68mWt93/d8YTxcr2N2XHj5p5e/bnK+23oMpyOd8iOAXxh8+AxVj+3ferfb8e/lvDMtK6y5/TMtE5v1wtwG/Pgxq3iXZLOUVpX0dO1PdIz07oZvT3zzOwLOAzDGf9lXsjQevNCrLgT6RyldRU9naYXIjf3tOJOjMyRAB6QT6HTuoEWbrgkPTOt09vYy4kbt5vNQHr/0jrzdufMmy/gldOaXoq0bmU71y1Pz0zr9HbnXGzPdOxZceNW8Z4bmSNfwAPyKXRaN9CCL+BKtOM/lBj+zyxpXWV76Zlpnd7GAocbt4pfNXwBr7xJ6YsurVvZji/gAsD0WaV1BS39/xbpmWmd3gRJRZCYt/Vz5At44G2UDl5aN9CCL+BKNF/Aw5rpjKd1w408z8L0zLROb+sDZ61h+qzSurX9PHP9yJkCeOAJpNBp3UALArgSTQAPa6YzntYNNyKAy+jSZ5XWlTV2Su6pn6BXTkQ6eGndynb8BF0AmD6rtK6gJT9Br0RMn1Vat7Id97QAMH1WaV1BSzvfUwG8Uj19uGndynZc7ALA9FmldQUt7Xyx9Xa9euqR1nmmY77cbizgJ+iB6UgvbFo30MINl6RnpnV689K52Qykc5TWmTfzdtrnzRfwyluevkzSupXt+AIuAEyfVVpX0JIv4JWI6bNK61a2454WAKbPKq0raGnneyqAV6qnDzetW9mOi10AmD6rtK6gpZ0vtt7Gvh65cau4ryNz5CfoAfkUOq0baMFP0JVop+RPV5o3QVJxLdI5Susqerq2R3pmWjejN1/AK9XTh5vWrWzHF3ABYPqs0rqClnwBr0RMn1Vat7Id97QAMH1WaV1BSzvfUwG8Uj19uGndynZc7ALA9FmldQUt7Xyx9eYLuGLu0jlK6yp68gXsnwfshbjyJqUXNq1b2Y6/cCkATJ9VWlfQknu6EjF9VmndynZO3T31BbxyItLBS+tWtnPqBpSbL7mKO5HOUVpX0dNp+pLjNnZPBfDKm5QOXlq3sh0BXACYPqu0rqAlX3IrEdNnldatbMc9LQBMn1VaV9DSzvdUAK9UTx9uWreyHRe7ADB9VmldQUs7X2y9jX2RcONWcV9H5sj/DWlAPoVO6wZauOGS9My0Tm9jLydu3G42A+n9S+vM250zb76AV05reinSupXt+AIuAEyfVVpX0JIv4JWI6bNK61a2454WAKbPKq0raGnneyqAV6qnDzetW9mOi10AmD6rtK6gpZ0vtt7GvoK4cau4ryNz5CfoAfkUOq0baOGGS9Iz0zq9jb2cuHG72Qyk9y+tM293zrz5Al45remlSOtWtuMLuAAwfVZpXUFLvoBXIqbPKq1b2Y57WgCYPqu0rqClne+pAF6pnj7ctG5lOy52AWD6rNK6gpZ2vth6G/sK4sat4r6OzJGfoAfkU+i0bqCFGy5Jz0zr9Db2cuLG7WYzkN6/tM683TnztvsX8OHmodaWr2xL/3jlg77pXn15bWv98/1g+8BNB1lv1/NwGxtRbty8367MgLtwS+/C7gF8YfNg6+3r29L+YayzgVVXz+vntg+e+FeSenuaiNvAsB2/dK7Mt3nbkY/bjmBXy7m9aN12DuAxKasIECBAgACBGwlE/xswPgIECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVkAA13rajQABAgQIRAICOGJSRIAAAQIEagUEcK2n3QgQIECAQCQggCMmRQQIECBAoFZAANd62o0AAQIECEQCAjhiUkSAAAECBGoFBHCtp90IECBAgEAkIIAjJkUECBAgQKBWQADXetqNAAECBAhEAgI4YlJEgAABAgRqBQRwrafdCBAgQIBAJCCAIyZFBAgQIECgVuD/AH/Q6MKoPAhLAAAAAElFTkSuQmCC

Cat

Dog

General abstraction principle involving reducing the amount of subscript data.

Added the opperator because the houses weren't sepperate.