In consequence of the overbearing demands of Napoleon, the Swedish Government allied itself with Russia on the 5th of April (1812), and with Great Britain on the 12th of July following. The differences between Alexander and Napoleon had now become so serious, that war was inevitable. But Napoleon knew the foe he had to grapple with, and proposed terms of peace to Great Britain on the 17th of April, hoping to be left to meet the Russians single-handed, and thus humble the overweening pride of the Czar. His proposals were, however, rejected. Down to the very commencement of hostilities, notes continued to be interchanged between the representatives of the two Emperors, which did little more than recapitulate the mutual grounds of complaint of the two cabinets against each other. Finally, on the 24th of April, Alexander sent to Napoleon his ultimatum, offering an accommodation on condition that France would evacuate Prussia, and come to an arrangement with the king of Sweden which remained without any answer, on the part of the French Government. Both prepared for the worst, and on the 23d of June, Napoleon arrived on the banks of the Niemen, with his countless hosts, for the invasion of Russia. The armies at his command, at this time, amounted in the aggregate, to the enormous sum of 1,250,000 men; and the force which entered Russia, during the year 1812, was 647,158 men--187,111 horses, and 1372 cannon. The regular forces of the Russians amounted, at the close of 1811, to 517,000 men, 70,000 of whom were in garrison, and the remainder dispersed over an immense surface. To oppose the invasion of the French, the Russians had collected about 200,000 men, and upwards of 800 pieces of cannon. The forces of the French, therefore, exceeded those of the Russians, by nearly 300,000 men; but the former were at an immense distance from their resources, and had no means of recruiting their losses; whereas the latter were in their own country, and supported by the devotion of a fanatical and patriotic people. The face of the country on the Western frontier of Russia is in general flat, and in many places marshy; vast woods of pine cover the plains, and the rivers flow in some places through steep banks, in others stagnate over extensive swamps, which often present the most serious obstacles to military operations. The villages are few and miserable. The wants of such a prodigious accumulation of troops speedily exhausted all the means of subsistence which the country afforded, and the stores they could convey with them. Forced requisitions from the peasantry became, therefore, necessary, and so great was the subsequent misery that the richest families in Warsaw were literally in danger of starving, and the interest of money rose to 80 per cent.