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THE GREAT PROBLEM
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sent their compliments; the Mexicans retreated; and at about seven o'clock the battle ended.[1]

"A sad mistake," said Hitchcock, and he was right. A few cannon moulds were found. The partial destruction of El Molino and Casa Mata cancelled the military value of the position, and facilitated later American operations; but such operations were not contemplated at this time. A few small cannon and a quantity of more or less valuable ammunition fell into our hands, and a heavy gun at Chapultepec became disabled. Probably 2000 Mexicans were killed or wounded, and perhaps an equal number deserted. Nearly 700 prisoners were taken. The loss of two excellent officers meant still more, perhaps. Intrenching implements needed at Chapultepec were lost. The want of coöperation among the Mexican generals and especially the total failure of the cavalry to meet expectations disheartened the capital. But the casualties in the little American army amounted to 124 killed and 582 wounded. The confidence of the officers, if not the men, in their leaders faltered at the evident mistakes of Scott and Worth. Each of those generals blamed the other, and the discord between them, which reached down to the private soldier, became worse than ever. No American could find satisfaction in a barren victory gained with such difficulty and at such a cost; and the Mexicans, believing we had aimed to accomplish far more, exulted over their imaginary triumph. Scott faced the situation with unshaken fortitude, but those who knew him intimately saw that he felt anxious.[2]

However, the great problem before them soon occupied the minds of all. Mexico, lying on a very slight elevation or swell, could be entered on its western side by the garita of San Cosme and at the southwest by the garita of Belén, to each of which led a causeway from the fortified hill of Chapultepec, about a mile and a half southwest of Belén. From this garita a second causeway ran south about an equal distance to the picturesque chapel of La Piedad, where it was crossed by one extending eastwardly from Tacubaya to the San Antonio or Acapulco highway, which — it will be recalled — led south to Churubusco and San Agustín. Not far north of the latter junction and about a mile from the city proper stood the garita of San Antonio; while, intermediate between the San Antonio

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