{ "56ddde6b9a695914005b9628": " France", "56ddde6b9a695914005b9629": " 10th and 11th centuries", "56ddde6b9a695914005b962a": " Denmark, Iceland and Norway", "56ddde6b9a695914005b962b": " Rollo", "56ddde6b9a695914005b962c": " 10th", "5ad39d53604f3c001a3fe8d1": "", "5ad39d53604f3c001a3fe8d2": "", "5ad39d53604f3c001a3fe8d3": "", "5ad39d53604f3c001a3fe8d4": "", "56dddf4066d3e219004dad5f": "", "56dddf4066d3e219004dad60": " the French crown,", "56dddf4066d3e219004dad61": " Catholic orthodoxy", "5ad3a266604f3c001a3fea27": "", "5ad3a266604f3c001a3fea28": "", "5ad3a266604f3c001a3fea29": "", "5ad3a266604f3c001a3fea2a": "", "5ad3a266604f3c001a3fea2b": "", "56dde0379a695914005b9636": "", "56dde0379a695914005b9637": " 9th century", "5ad3ab70604f3c001a3feb89": "", "5ad3ab70604f3c001a3feb8a": " 9th century", "56dde0ba66d3e219004dad75": "911", "56dde0ba66d3e219004dad76": "", "56dde0ba66d3e219004dad77": "", "5ad3ad61604f3c001a3fec0d": " 10th century", "5ad3ad61604f3c001a3fec0e": "", "5ad3ad61604f3c001a3fec0f": "", "5ad3ad61604f3c001a3fec10": " French lands between the river Epte and the Atlantic coast in exchange", "56dde1d966d3e219004dad8d": " Rollo's", "5ad3ae14604f3c001a3fec39": "", "5ad3ae14604f3c001a3fec3a": " Anglo-Danes from the English Danelaw under Norse", "56dde27d9a695914005b9651": "", "56dde27d9a695914005b9652": " north", "5ad3af11604f3c001a3fec63": "", "5ad3af11604f3c001a3fec64": "", "5ad3af11604f3c001a3fec65": "", "56dde2fa66d3e219004dad9b": " horsemen", "5ad3c626604f3c001a3ff011": "", "5ad3c626604f3c001a3ff012": "", "5ad3c626604f3c001a3ff013": "", "56de0f6a4396321400ee257f": " Pechenegs", "5ad3dbc6604f3c001a3ff3e9": "", "5ad3dbc6604f3c001a3ff3ea": "", "5ad3dbc6604f3c001a3ff3eb": " Norman mercenaries", "5ad3dbc6604f3c001a3ff3ec": " George Mania", "56de0ffd4396321400ee258d": " in the 1050s", "56de0ffd4396321400ee258e": " the 1060s", "56de0ffd4396321400ee258f": " Alexius Komnenos", "5ad3de8b604f3c001a3ff467": " Herv\u00e9", "5ad3de8b604f3c001a3ff468": " in the 1050s", "5ad3de8b604f3c001a3ff469": "", "5ad3de8b604f3c001a3ff46a": "", "56de10b44396321400ee2593": " Amalfi", "56de10b44396321400ee2594": "Philaretus Brachamius", "56de10b44396321400ee2595": "", "5ad3e96b604f3c001a3ff689": "", "5ad3e96b604f3c001a3ff68a": "", "5ad3e96b604f3c001a3ff68b": "", "5ad3e96b604f3c001a3ff68c": " upper Euphrates valley in northern Syria", "56de11154396321400ee25aa": "", "5ad3ea79604f3c001a3ff6e9": "", "5ad3ea79604f3c001a3ff6ea": "", "5ad3ea79604f3c001a3ff6eb": "", "56de148dcffd8e1900b4b5bc": " the dignity of count of Apulia", "56de148dcffd8e1900b4b5bd": "", "56de148dcffd8e1900b4b5be": " 30,000", "5ad3ed26604f3c001a3ff799": "", "5ad3ed26604f3c001a3ff79a": "", "5ad3ed26604f3c001a3ff79b": "", "5ad3ed26604f3c001a3ff79c": " 30,000", "56de15104396321400ee25b7": " the", "56de15104396321400ee25b8": " Bohemond", "56de15104396321400ee25b9": " river Deabolis", "5ad3ee2d604f3c001a3ff7e1": "", "5ad3ee2d604f3c001a3ff7e2": " Bohemond", "5ad3ee2d604f3c001a3ff7e3": " Robert", "56de1563cffd8e1900b4b5c2": " 1185", "56de1563cffd8e1900b4b5c3": " Dyrrachium", "56de1563cffd8e1900b4b5c4": "Adriatic", "5ad3f028604f3c001a3ff823": "", "5ad3f028604f3c001a3ff824": "", "5ad3f028604f3c001a3ff825": "", "56de15dbcffd8e1900b4b5c8": " Duke Richard II of Normandy", "56de15dbcffd8e1900b4b5c9": " Duke Richard II of Normandy", "56de15dbcffd8e1900b4b5ca": " Normandy", "56de15dbcffd8e1900b4b5cb": "", "5ad3f187604f3c001a3ff86f": "", "5ad3f187604f3c001a3ff870": "", "5ad3f187604f3c001a3ff871": "", "56de1645cffd8e1900b4b5d0": " Harthacnut", "56de1645cffd8e1900b4b5d1": " 1041", "56de1645cffd8e1900b4b5d2": " Robert", "5ad3f350604f3c001a3ff8ef": " 1041", "5ad3f350604f3c001a3ff8f0": "", "5ad3f350604f3c001a3ff8f1": "Edward the Confessor", "56de16ca4396321400ee25c5": " Battle of Hastings", "56de16ca4396321400ee25c6": " Duke William II of Normandy", "56de16ca4396321400ee25c7": " 1066", "56de16ca4396321400ee25c8": "", "5ad3f4b1604f3c001a3ff951": "", "5ad3f4b1604f3c001a3ff952": "", "5ad3f4b1604f3c001a3ff953": "", "5ad3f4b1604f3c001a3ff954": "", "56de1728cffd8e1900b4b5d7": "", "5ad3f5b0604f3c001a3ff9ab": "", "5ad3f5b0604f3c001a3ff9ac": " Anglo-Saxon language of their subjects", "5ad3f5b0604f3c001a3ff9ad": " Geoffrey Chaucer", "56de179dcffd8e1900b4b5da": " 1169", "56de179dcffd8e1900b4b5db": " Bannow Bay", "56de179dcffd8e1900b4b5dc": "", "5ad3f6f5604f3c001a3ffa09": "", "5ad3f6f5604f3c001a3ffa0a": "", "5ad3f6f5604f3c001a3ffa0b": "Trim Castle and Dublin Castle", "56de17f9cffd8e1900b4b5e0": " King Malcolm III of Scotland", "56de17f9cffd8e1900b4b5e1": " King Malcolm III of Scotland", "56de17f9cffd8e1900b4b5e2": " 1072", "56de17f9cffd8e1900b4b5e3": " his son Duncan", "5ad3f7ac604f3c001a3ffa3b": "", "5ad3f7ac604f3c001a3ffa3c": "", "5ad3f7ac604f3c001a3ffa3d": "", "56de3cd0cffd8e1900b4b6be": " Sybilla of Normandy", "56de3cd0cffd8e1900b4b6bf": " Norman", "5ad3f8d2604f3c001a3ffa8d": " Sybilla of Normandy", "5ad3f8d2604f3c001a3ffa8e": " Norman culture", "56de3d594396321400ee26ca": " Hereford", "56de3d594396321400ee26cb": " the Welsh", "56de3d594396321400ee26cc": "Edward the Confessor", "5ad3fb01604f3c001a3ffb35": "", "5ad3fb01604f3c001a3ffb36": "", "56de3dbacffd8e1900b4b6d2": "", "5ad3fb6e604f3c001a3ffb5f": "", "5ad3fb6e604f3c001a3ffb60": "", "56de3e414396321400ee26d8": " 1018", "56de3e414396321400ee26d9": " William of Montreuil", "5ad3fc41604f3c001a3ffb8f": " Antioch", "5ad3fc41604f3c001a3ffb90": "", "5ad3fc41604f3c001a3ffb91": " Roger de Tosny", "5ad3fc41604f3c001a3ffb92": "", "56de3ebc4396321400ee26e6": " 1097", "56de3ebc4396321400ee26e7": " Tancred", "56de3ebc4396321400ee26e8": " Jerusalem", "5ad4017a604f3c001a3ffd1f": "", "5ad4017a604f3c001a3ffd20": "", "56de3efccffd8e1900b4b6fe": " 380 years", "5ad401f2604f3c001a3ffd41": " Cyprus", "5ad401f2604f3c001a3ffd42": "", "56de3f784396321400ee26fa": " a storm", "56de3f784396321400ee26fb": " fianc\u00e9e Berengaria", "56de3f784396321400ee26fc": " 1191", "56de3f784396321400ee26fd": " Richard", "5ad40280604f3c001a3ffd57": "", "5ad40280604f3c001a3ffd58": "", "5ad40280604f3c001a3ffd59": "", "56de40da4396321400ee2708": " Conrad of Montferrat", "56de40da4396321400ee2709": "", "56de40da4396321400ee270a": " Guy de Lusignan", "5ad404a6604f3c001a3ffde1": "", "5ad404a6604f3c001a3ffde2": "", "5ad404a6604f3c001a3ffde3": " Richard", "56de49564396321400ee277a": " Africa", "5ad40419604f3c001a3ffdb7": "", "5ad40419604f3c001a3ffdb8": "", "56de49a8cffd8e1900b4b7a7": " Henry III", "56de49a8cffd8e1900b4b7a8": " Maciot de Bethencourt", "56de49a8cffd8e1900b4b7a9": " Maciot de Bethencourt", "5ad403c1604f3c001a3ffd97": "", "5ad403c1604f3c001a3ffd98": "", "56de4a474396321400ee2786": "", "56de4a474396321400ee2787": " two", "5ad40358604f3c001a3ffd7d": "", "5ad40358604f3c001a3ffd7e": "", "5ad40358604f3c001a3ffd7f": "", "56de4a89cffd8e1900b4b7bd": "Romanesque", "56de4a89cffd8e1900b4b7be": " rounded arches", "5ad402ce604f3c001a3ffd67": " rounded arches", "56de4b074396321400ee2793": " Gothic", "56de4b074396321400ee2794": " Gothic", "56de4b074396321400ee2795": " Kingdom of Sicily", "5ad400b0604f3c001a3ffcdf": "", "5ad400b0604f3c001a3ffce0": " Norman", "5ad400b0604f3c001a3ffce1": "", "56de4b5c4396321400ee2799": " 11th century", "56de4b5c4396321400ee279a": " the dukes", "5ad3ffd7604f3c001a3ffca7": "", "5ad3ffd7604f3c001a3ffca8": "", "5ad3ffd7604f3c001a3ffca9": " duchy", "5ad3ffd7604f3c001a3ffcaa": "", "56de4bb84396321400ee27a2": " 16th century", "5ad3ff1b604f3c001a3ffc73": "", "5ad3ff1b604f3c001a3ffc74": "", "56de4c324396321400ee27ab": " embroidery", "56de4c324396321400ee27ac": " Bayeux Tapestry", "56de4c324396321400ee27ad": "Odo, the Bishop of Bayeux and first Earl of Kent", "5ad3fe91604f3c001a3ffc47": "", "5ad3fe91604f3c001a3ffc48": "", "56de51244396321400ee27ef": " sculptured fonts, capitals, and more importantly mosaics", "5ad3fe0d604f3c001a3ffc1b": "", "5ad3fe0d604f3c001a3ffc1c": " mosaics", "5ad3fe0d604f3c001a3ffc1d": "", "56de51c64396321400ee27f7": " 11th", "56de51c64396321400ee27f8": " William of Volpiano and John of Ravenna", "5ad3fd68604f3c001a3ffbe7": "", "5ad3fd68604f3c001a3ffbe8": "", "56de52614396321400ee27fb": " southern Italy", "56de52614396321400ee27fc": "", "56de52614396321400ee27fd": " Robert Guiscard", "56de52614396321400ee27fe": " singing", "5ad3fccf604f3c001a3ffbb5": "", "56e16182e3433e1400422e28": "Computational complexity theory", "56e16182e3433e1400422e29": " difficulty", "56e16182e3433e1400422e2a": " A computational problem", "5ad5316b5b96ef001a10ab72": "", "5ad5316b5b96ef001a10ab73": "Computational complexity theory", "5ad5316b5b96ef001a10ab74": "", "5ad5316b5b96ef001a10ab75": "", "5ad5316b5b96ef001a10ab76": "", "56e16839cd28a01900c67887": " significant resources, whatever the algorithm used", "56e16839cd28a01900c67888": "", "56e16839cd28a01900c67889": "", "56e16839cd28a01900c6788a": "", "56e16839cd28a01900c6788b": " computational complexity theory is to determine the practical limits on what computers can and cannot", "5ad532575b96ef001a10ab7c": "", "5ad532575b96ef001a10ab7d": "", "5ad532575b96ef001a10ab7e": " time and storage", "5ad532575b96ef001a10ab7f": "", "5ad532575b96ef001a10ab80": "", "56e17644e3433e1400422f40": "", "56e17644e3433e1400422f41": "", "56e17644e3433e1400422f42": " theoretical", "56e17644e3433e1400422f43": " theoretical", "5ad5344b5b96ef001a10ab86": "", "5ad5344b5b96ef001a10ab87": "", "5ad5344b5b96ef001a10ab88": "", "5ad5344b5b96ef001a10ab89": "", "5ad5344b5b96ef001a10ab8a": "", "56e17a7ccd28a01900c679a1": " a problem instance", "56e17a7ccd28a01900c679a2": " a problem", "56e17a7ccd28a01900c679a3": " concrete", "56e17a7ccd28a01900c679a4": "", "56e17a7ccd28a01900c679a5": "", "5ad5364c5b96ef001a10ab90": "", "5ad5364c5b96ef001a10ab91": " problem instance", "5ad5364c5b96ef001a10ab92": "", "5ad5364c5b96ef001a10ab93": "", "5ad5364c5b96ef001a10ab94": "", "56e17e6ee3433e1400422f7f": " 2000", "56e17e6ee3433e1400422f80": "", "56e17e6ee3433e1400422f81": " computational problems", "5ad537a15b96ef001a10ab9a": "", "5ad537a15b96ef001a10ab9b": " little use for solving other instances of the problem", "5ad537a15b96ef001a10ab9c": "", "5ad537a15b96ef001a10ab9d": "", "56e181d9e3433e1400422fa0": " problem instance", "56e181d9e3433e1400422fa1": " binary alphabet", "56e181d9e3433e1400422fa2": "", "56e181d9e3433e1400422fa3": " binary notation", "56e181d9e3433e1400422fa4": " directly via their adjacency matrices", "5ad5391e5b96ef001a10aba2": "", "5ad5391e5b96ef001a10aba3": "", "5ad5391e5b96ef001a10aba4": "", "5ad5391e5b96ef001a10aba5": "", "5ad5391e5b96ef001a10aba6": "", "56e190bce3433e1400422fc8": "Decision", "56e190bce3433e1400422fc9": " yes or no", "56e190bce3433e1400422fca": " yes or no, or alternately either 1 or 0", "56e190bce3433e1400422fcb": " yes", "56e190bce3433e1400422fcc": " the answer", "5ad53b9d5b96ef001a10abc8": "Decision problems", "5ad53b9d5b96ef001a10abc9": "", "5ad53b9d5b96ef001a10abca": "", "5ad53b9d5b96ef001a10abcb": " either yes or no, or alternately either 1 or 0", "5ad53b9d5b96ef001a10abcc": "", "56e19557e3433e1400422fee": " arbitrary", "56e19557e3433e1400422ff0": "empty", "56e19557e3433e1400422ff1": "empty", "5ad53d705b96ef001a10abd2": "empty", "5ad53d705b96ef001a10abd3": "empty", "5ad53d705b96ef001a10abd4": "empty", "5ad53d705b96ef001a10abd5": "empty", "56e19724cd28a01900c679f6": "empty" }