Problem:


Score : 400 points

Problem Statement

Given is a string S consisting of digits from 1 through 9.

Find the number of pairs of integers (i,j) (1 ≤ i ≤ j ≤ |S|) that satisfy the following condition:

Condition: In base ten, the i-th through j-th characters of S form an integer that is a multiple of 2019.

Constraints

1 ≤ |S| ≤ 200000

S is a string consisting of digits from 1 through 9.

Input

Input is given from Standard Input in the following format:

S

Output

Print the number of pairs of integers (i,j) (1 ≤ i ≤ j ≤ |S|) that satisfy the condition.

Sample Input 1

1817181712114

Sample Output 1

3

Three pairs - (1,5), (5,9), and (9,13) - satisfy the condition.

Sample Input 2

14282668646

Sample Output 2

2

Sample Input 3

2119

Sample Output 3

0

No pairs satisfy the condition.



Sample input:
1817181712114


Sample output:
3

Submission status: Time Limit Exceeded

Solution code:
s = input()

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7238, 7239, 7241, 7242, 7243, 7244, 7245, 7246, 7247, 7248, 7249, 7251, 7252, 7253, 7254, 7255, 7256, 7257, 7258, 7259, 7261, 7262, 7263, 7264, 7265, 7266, 7267, 7268, 7269, 7271, 7272, 7273, 7274, 7275, 7276, 7277, 7278, 7279, 7281, 7282, 7283, 7284, 7285, 7286, 7287, 7288, 7289, 7291, 7292, 7293, 7294, 7295, 7296, 7297, 7298, 7299, 7311, 7312, 7313, 7314, 7315, 7316, 7317, 7318, 7319, 7321, 7322, 7323, 7324, 7325, 7326, 7327, 7328, 7329, 7331, 7332, 7333, 7334, 7335, 7336, 7337, 7338, 7339, 7341, 7342, 7343, 7344, 7345, 7346, 7347, 7348, 7349, 7351, 7352, 7353, 7354, 7355, 7356, 7357, 7358, 7359, 7361, 7362, 7363, 7364, 7365, 7366, 7367, 7368, 7369, 7371, 7372, 7373, 7374, 7375, 7376, 7377, 7378, 7379, 7381, 7382, 7383, 7384, 7385, 7386, 7387, 7388, 7389, 7391, 7392, 7393, 7394, 7395, 7396, 7397, 7398, 7399, 7411, 7412, 7413, 7414, 7415, 7416, 7417, 7418, 7419, 7421, 7422, 7423, 7424, 7425, 7426, 7427, 7428, 7429, 7431, 7432, 7433, 7434, 7435, 7436, 7437, 7438, 7439, 7441, 7442, 7443, 7444, 7445, 7446, 7447, 7448, 7449, 7451, 7452, 7453, 7454, 7455, 7456, 7457, 7458, 7459, 7461, 7462, 7463, 7464, 7465, 7466, 7467, 7468, 7469, 7471, 7472, 7473, 7474, 7475, 7476, 7477, 7478, 7479, 7481, 7482, 7483, 7484, 7485, 7486, 7487, 7488, 7489, 7491, 7492, 7493, 7494, 7495, 7496, 7497, 7498, 7499, 7511, 7512, 7513, 7514, 7515, 7516, 7517, 7518, 7519, 7521, 7522, 7523, 7524, 7525, 7526, 7527, 7528, 7529, 7531, 7532, 7533, 7534, 7535, 7536, 7537, 7538, 7539, 7541, 7542, 7543, 7544, 7545, 7546, 7547, 7548, 7549, 7551, 7552, 7553, 7554, 7555, 7556, 7557, 7558, 7559, 7561, 7562, 7563, 7564, 7565, 7566, 7567, 7568, 7569, 7571, 7572, 7573, 7574, 7575, 7576, 7577, 7578, 7579, 7581, 7582, 7583, 7584, 7585, 7586, 7587, 7588, 7589, 7591, 7592, 7593, 7594, 7595, 7596, 7597, 7598, 7599, 7611, 7612, 7613, 7614, 7615, 7616, 7617, 7618, 7619, 7621, 7622, 7623, 7624, 7625, 7626, 7627, 7628, 7629, 7631, 7632, 7633, 7634, 7635, 7636, 7637, 7638, 7639, 7641, 7642, 7643, 7644, 7645, 7646, 7647, 7648, 7649, 7651, 7652, 7653, 7654, 7655, 7656, 7657, 7658, 7659, 7661, 7662, 7663, 7664, 7665, 7666, 7667, 7668, 7669, 7671, 7672, 7673, 7674, 7675, 7676, 7677, 7678, 7679, 7681, 7682, 7683, 7684, 7685, 7686, 7687, 7688, 7689, 7691, 7692, 7693, 7694, 7695, 7696, 7697, 7698, 7699, 7711, 7712, 7713, 7714, 7715, 7716, 7717, 7718, 7719, 7721, 7722, 7723, 7724, 7725, 7726, 7727, 7728, 7729, 7731, 7732, 7733, 7734, 7735, 7736, 7737, 7738, 7739, 7741, 7742, 7743, 7744, 7745, 7746, 7747, 7748, 7749, 7751, 7752, 7753, 7754, 7755, 7756, 7757, 7758, 7759, 7761, 7762, 7763, 7764, 7765, 7766, 7767, 7768, 7769, 7771, 7772, 7773, 7774, 7775, 7776, 7777, 7778, 7779, 7781, 7782, 7783, 7784, 7785, 7786, 7787, 7788, 7789, 7791, 7792, 7793, 7794, 7795, 7796, 7797, 7798, 7799, 7811, 7812, 7813, 7814, 7815, 7816, 7817, 7818, 7819, 7821, 7822, 7823, 7824, 7825, 7826, 7827, 7828, 7829, 7831, 7832, 7833, 7834, 7835, 7836, 7837, 7838, 7839, 7841, 7842, 7843, 7844, 7845, 7846, 7847, 7848, 7849, 7851, 7852, 7853, 7854, 7855, 7856, 7857, 7858, 7859, 7861, 7862, 7863, 7864, 7865, 7866, 7867, 7868, 7869, 7871, 7872, 7873, 7874, 7875, 7876, 7877, 7878, 7879, 7881, 7882, 7883, 7884, 7885, 7886, 7887, 7888, 7889, 7891, 7892, 7893, 7894, 7895, 7896, 7897, 7898, 7899, 7911, 7912, 7913, 7914, 7915, 7916, 7917, 7918, 7919, 7921, 7922, 7923, 7924, 7925, 7926, 7927, 7928, 7929, 7931, 7932, 7933, 7934, 7935, 7936, 7937, 7938, 7939, 7941, 7942, 7943, 7944, 7945, 7946, 7947, 7948, 7949, 7951, 7952, 7953, 7954, 7955, 7956, 7957, 7958, 7959, 7961, 7962, 7963, 7964, 7965, 7966, 7967, 7968, 7969, 7971, 7972, 7973, 7974, 7975, 7976, 7977, 7978, 7979, 7981, 7982, 7983, 7984, 7985, 7986, 7987, 7988, 7989, 7991, 7992, 7993, 7994, 7995, 7996, 7997, 7998, 7999, 8111, 8112, 8113, 8114, 8115, 8116, 8117, 8118, 8119, 8121, 8122, 8123, 8124, 8125, 8126, 8127, 8128, 8129, 8131, 8132, 8133, 8134, 8135, 8136, 8137, 8138, 8139, 8141, 8142, 8143, 8144, 8145, 8146, 8147, 8148, 8149, 8151, 8152, 8153, 8154, 8155, 8156, 8157, 8158, 8159, 8161, 8162, 8163, 8164, 8165, 8166, 8167, 8168, 8169, 8171, 8172, 8173, 8174, 8175, 8176, 8177, 8178, 8179, 8181, 8182, 8183, 8184, 8185, 8186, 8187, 8188, 8189, 8191, 8192, 8193, 8194, 8195, 8196, 8197, 8198, 8199, 8211, 8212, 8213, 8214, 8215, 8216, 8217, 8218, 8219, 8221, 8222, 8223, 8224, 8225, 8226, 8227, 8228, 8229, 8231, 8232, 8233, 8234, 8235, 8236, 8237, 8238, 8239, 8241, 8242, 8243, 8244, 8245, 8246, 8247, 8248, 8249, 8251, 8252, 8253, 8254, 8255, 8256, 8257, 8258, 8259, 8261, 8262, 8263, 8264, 8265, 8266, 8267, 8268, 8269, 8271, 8272, 8273, 8274, 8275, 8276, 8277, 8278, 8279, 8281, 8282, 8283, 8284, 8285, 8286, 8287, 8288, 8289, 8291, 8292, 8293, 8294, 8295, 8296, 8297, 8298, 8299, 8311, 8312, 8313, 8314, 8315, 8316, 8317, 8318, 8319, 8321, 8322, 8323, 8324, 8325, 8326, 8327, 8328, 8329, 8331, 8332, 8333, 8334, 8335, 8336, 8337, 8338, 8339, 8341, 8342, 8343, 8344, 8345, 8346, 8347, 8348, 8349, 8351, 8352, 8353, 8354, 8355, 8356, 8357, 8358, 8359, 8361, 8362, 8363, 8364, 8365, 8366, 8367, 8368, 8369, 8371, 8372, 8373, 8374, 8375, 8376, 8377, 8378, 8379, 8381, 8382, 8383, 8384, 8385, 8386, 8387, 8388, 8389, 8391, 8392, 8393, 8394, 8395, 8396, 8397, 8398, 8399, 8411, 8412, 8413, 8414, 8415, 8416, 8417, 8418, 8419, 8421, 8422, 8423, 8424, 8425, 8426, 8427, 8428, 8429, 8431, 8432, 8433, 8434, 8435, 8436, 8437, 8438, 8439, 8441, 8442, 8443, 8444, 8445, 8446, 8447, 8448, 8449, 8451, 8452, 8453, 8454, 8455, 8456, 8457, 8458, 8459, 8461, 8462, 8463, 8464, 8465, 8466, 8467, 8468, 8469, 8471, 8472, 8473, 8474, 8475, 8476, 8477, 8478, 8479, 8481, 8482, 8483, 8484, 8485, 8486, 8487, 8488, 8489, 8491, 8492, 8493, 8494, 8495, 8496, 8497, 8498, 8499, 8511, 8512, 8513, 8514, 8515, 8516, 8517, 8518, 8519, 8521, 8522, 8523, 8524, 8525, 8526, 8527, 8528, 8529, 8531, 8532, 8533, 8534, 8535, 8536, 8537, 8538, 8539, 8541, 8542, 8543, 8544, 8545, 8546, 8547, 8548, 8549, 8551, 8552, 8553, 8554, 8555, 8556, 8557, 8558, 8559, 8561, 8562, 8563, 8564, 8565, 8566, 8567, 8568, 8569, 8571, 8572, 8573, 8574, 8575, 8576, 8577, 8578, 8579, 8581, 8582, 8583, 8584, 8585, 8586, 8587, 8588, 8589, 8591, 8592, 8593, 8594, 8595, 8596, 8597, 8598, 8599, 8611, 8612, 8613, 8614, 8615, 8616, 8617, 8618, 8619, 8621, 8622, 8623, 8624, 8625, 8626, 8627, 8628, 8629, 8631, 8632, 8633, 8634, 8635, 8636, 8637, 8638, 8639, 8641, 8642, 8643, 8644, 8645, 8646, 8647, 8648, 8649, 8651, 8652, 8653, 8654, 8655, 8656, 8657, 8658, 8659, 8661, 8662, 8663, 8664, 8665, 8666, 8667, 8668, 8669, 8671, 8672, 8673, 8674, 8675, 8676, 8677, 8678, 8679, 8681, 8682, 8683, 8684, 8685, 8686, 8687, 8688, 8689, 8691, 8692, 8693, 8694, 8695, 8696, 8697, 8698, 8699, 8711, 8712, 8713, 8714, 8715, 8716, 8717, 8718, 8719, 8721, 8722, 8723, 8724, 8725, 8726, 8727, 8728, 8729, 8731, 8732, 8733, 8734, 8735, 8736, 8737, 8738, 8739, 8741, 8742, 8743, 8744, 8745, 8746, 8747, 8748, 8749, 8751, 8752, 8753, 8754, 8755, 8756, 8757, 8758, 8759, 8761, 8762, 8763, 8764, 8765, 8766, 8767, 8768, 8769, 8771, 8772, 8773, 8774, 8775, 8776, 8777, 8778, 8779, 8781, 8782, 8783, 8784, 8785, 8786, 8787, 8788, 8789, 8791, 8792, 8793, 8794, 8795, 8796, 8797, 8798, 8799, 8811, 8812, 8813, 8814, 8815, 8816, 8817, 8818, 8819, 8821, 8822, 8823, 8824, 8825, 8826, 8827, 8828, 8829, 8831, 8832, 8833, 8834, 8835, 8836, 8837, 8838, 8839, 8841, 8842, 8843, 8844, 8845, 8846, 8847, 8848, 8849, 8851, 8852, 8853, 8854, 8855, 8856, 8857, 8858, 8859, 8861, 8862, 8863, 8864, 8865, 8866, 8867, 8868, 8869, 8871, 8872, 8873, 8874, 8875, 8876, 8877, 8878, 8879, 8881, 8882, 8883, 8884, 8885, 8886, 8887, 8888, 8889, 8891, 8892, 8893, 8894, 8895, 8896, 8897, 8898, 8899, 8911, 8912, 8913, 8914, 8915, 8916, 8917, 8918, 8919, 8921, 8922, 8923, 8924, 8925, 8926, 8927, 8928, 8929, 8931, 8932, 8933, 8934, 8935, 8936, 8937, 8938, 8939, 8941, 8942, 8943, 8944, 8945, 8946, 8947, 8948, 8949, 8951, 8952, 8953, 8954, 8955, 8956, 8957, 8958, 8959, 8961, 8962, 8963, 8964, 8965, 8966, 8967, 8968, 8969, 8971, 8972, 8973, 8974, 8975, 8976, 8977, 8978, 8979, 8981, 8982, 8983, 8984, 8985, 8986, 8987, 8988, 8989, 8991, 8992, 8993, 8994, 8995, 8996, 8997, 8998, 8999, 9111, 9112, 9113, 9114, 9115, 9116, 9117, 9118, 9119, 9121, 9122, 9123, 9124, 9125, 9126, 9127, 9128, 9129, 9131, 9132, 9133, 9134, 9135, 9136, 9137, 9138, 9139, 9141, 9142, 9143, 9144, 9145, 9146, 9147, 9148, 9149, 9151, 9152, 9153, 9154, 9155, 9156, 9157, 9158, 9159, 9161, 9162, 9163, 9164, 9165, 9166, 9167, 9168, 9169, 9171, 9172, 9173, 9174, 9175, 9176, 9177, 9178, 9179, 9181, 9182, 9183, 9184, 9185, 9186, 9187, 9188, 9189, 9191, 9192, 9193, 9194, 9195, 9196, 9197, 9198, 9199, 9211, 9212, 9213, 9214, 9215, 9216, 9217, 9218, 9219, 9221, 9222, 9223, 9224, 9225, 9226, 9227, 9228, 9229, 9231, 9232, 9233, 9234, 9235, 9236, 9237, 9238, 9239, 9241, 9242, 9243, 9244, 9245, 9246, 9247, 9248, 9249, 9251, 9252, 9253, 9254, 9255, 9256, 9257, 9258, 9259, 9261, 9262, 9263, 9264, 9265, 9266, 9267, 9268, 9269, 9271, 9272, 9273, 9274, 9275, 9276, 9277, 9278, 9279, 9281, 9282, 9283, 9284, 9285, 9286, 9287, 9288, 9289, 9291, 9292, 9293, 9294, 9295, 9296, 9297, 9298, 9299, 9311, 9312, 9313, 9314, 9315, 9316, 9317, 9318, 9319, 9321, 9322, 9323, 9324, 9325, 9326, 9327, 9328, 9329, 9331, 9332, 9333, 9334, 9335, 9336, 9337, 9338, 9339, 9341, 9342, 9343, 9344, 9345, 9346, 9347, 9348, 9349, 9351, 9352, 9353, 9354, 9355, 9356, 9357, 9358, 9359, 9361, 9362, 9363, 9364, 9365, 9366, 9367, 9368, 9369, 9371, 9372, 9373, 9374, 9375, 9376, 9377, 9378, 9379, 9381, 9382, 9383, 9384, 9385, 9386, 9387, 9388, 9389, 9391, 9392, 9393, 9394, 9395, 9396, 9397, 9398, 9399, 9411, 9412, 9413, 9414, 9415, 9416, 9417, 9418, 9419, 9421, 9422, 9423, 9424, 9425, 9426, 9427, 9428, 9429, 9431, 9432, 9433, 9434, 9435, 9436, 9437, 9438, 9439, 9441, 9442, 9443, 9444, 9445, 9446, 9447, 9448, 9449, 9451, 9452, 9453, 9454, 9455, 9456, 9457, 9458, 9459, 9461, 9462, 9463, 9464, 9465, 9466, 9467, 9468, 9469, 9471, 9472, 9473, 9474, 9475, 9476, 9477, 9478, 9479, 9481, 9482, 9483, 9484, 9485, 9486, 9487, 9488, 9489, 9491, 9492, 9493, 9494, 9495, 9496, 9497, 9498, 9499, 9511, 9512, 9513, 9514, 9515, 9516, 9517, 9518, 9519, 9521, 9522, 9523, 9524, 9525, 9526, 9527, 9528, 9529, 9531, 9532, 9533, 9534, 9535, 9536, 9537, 9538, 9539, 9541, 9542, 9543, 9544, 9545, 9546, 9547, 9548, 9549, 9551, 9552, 9553, 9554, 9555, 9556, 9557, 9558, 9559, 9561, 9562, 9563, 9564, 9565, 9566, 9567, 9568, 9569, 9571, 9572, 9573, 9574, 9575, 9576, 9577, 9578, 9579, 9581, 9582, 9583, 9584, 9585, 9586, 9587, 9588, 9589, 9591, 9592, 9593, 9594, 9595, 9596, 9597, 9598, 9599, 9611, 9612, 9613, 9614, 9615, 9616, 9617, 9618, 9619, 9621, 9622, 9623, 9624, 9625, 9626, 9627, 9628, 9629, 9631, 9632, 9633, 9634, 9635, 9636, 9637, 9638, 9639, 9641, 9642, 9643, 9644, 9645, 9646, 9647, 9648, 9649, 9651, 9652, 9653, 9654, 9655, 9656, 9657, 9658, 9659, 9661, 9662, 9663, 9664, 9665, 9666, 9667, 9668, 9669, 9671, 9672, 9673, 9674, 9675, 9676, 9677, 9678, 9679, 9681, 9682, 9683, 9684, 9685, 9686, 9687, 9688, 9689, 9691, 9692, 9693, 9694, 9695, 9696, 9697, 9698, 9699, 9711, 9712, 9713, 9714, 9715, 9716, 9717, 9718, 9719, 9721, 9722, 9723, 9724, 9725, 9726, 9727, 9728, 9729, 9731, 9732, 9733, 9734, 9735, 9736, 9737, 9738, 9739, 9741, 9742, 9743, 9744, 9745, 9746, 9747, 9748, 9749, 9751, 9752, 9753, 9754, 9755, 9756, 9757, 9758, 9759, 9761, 9762, 9763, 9764, 9765, 9766, 9767, 9768, 9769, 9771, 9772, 9773, 9774, 9775, 9776, 9777, 9778, 9779, 9781, 9782, 9783, 9784, 9785, 9786, 9787, 9788, 9789, 9791, 9792, 9793, 9794, 9795, 9796, 9797, 9798, 9799, 9811, 9812, 9813, 9814, 9815, 9816, 9817, 9818, 9819, 9821, 9822, 9823, 9824, 9825, 9826, 9827, 9828, 9829, 9831, 9832, 9833, 9834, 9835, 9836, 9837, 9838, 9839, 9841, 9842, 9843, 9844, 9845, 9846, 9847, 9848, 9849, 9851, 9852, 9853, 9854, 9855, 9856, 9857, 9858, 9859, 9861, 9862, 9863, 9864, 9865, 9866, 9867, 9868, 9869, 9871, 9872, 9873, 9874, 9875, 9876, 9877, 9878, 9879, 9881, 9882, 9883, 9884, 9885, 9886, 9887, 9888, 9889, 9891, 9892, 9893, 9894, 9895, 9896, 9897, 9898, 9899, 9911, 9912, 9913, 9914, 9915, 9916, 9917, 9918, 9919, 9921, 9922, 9923, 9924, 9925, 9926, 9927, 9928, 9929, 9931, 9932, 9933, 9934, 9935, 9936, 9937, 9938, 9939, 9941, 9942, 9943, 9944, 9945, 9946, 9947, 9948, 9949, 9951, 9952, 9953, 9954, 9955, 9956, 9957, 9958, 9959, 9961, 9962, 9963, 9964, 9965, 9966, 9967, 9968, 9969, 9971, 9972, 9973, 9974, 9975, 9976, 9977, 9978, 9979, 9981, 9982, 9983, 9984, 9985, 9986, 9987, 9988, 9989, 9991, 9992, 9993, 9994, 9995, 9996, 9997, 9998, 9999, ]

res = 0

while len(s) >= 4:
    if int(s[-4:]) in last_num_list:
        for i in range(len(s) - 3):
            if int(s[i:]) % 2019 == 0:
                res += 1
        s = s[:-1]
    else:
        s = s[:-1]
    
print(res)